Podcasts about Mathematics

Throwbacks are where I re-release old episodes from the archives. So don't worry if you have heard it already, as 'New episodes' will continue to come out on Sundays. To get some of the old episodes heard.~~~We are joined by Dr. Ogi Ogas, who comes to us from Boston, Massachusetts. Dr. Ogas is a mathematical neuroscientist and author, and he will be sharing his 30-year encounters with intelligent extraterrestrials, which he refers to as Intex.Journey of the Mind: How Thinking Emerged from Chaosby Ogi OgasAmazon: https://amzn.to/45z6MRZMore information on this episode on the podcast website:https://ufochroniclespodcast.com/ep-250-the-maze-of-souls/Want to share your encounter on the show?Email: UFOChronicles@gmail.comOr Fill out Guest Form:https://forms.gle/uGQ8PTVRkcjy4nxS7Podcast Merchandise:https://www.teepublic.com/user/ufo-chronicles-podcastHelp Support UFO CHRONICLES by becoming a Patron:https://patreon.com/UFOChroniclespodcastX: https://x.com/UFOchronpodcastAll Links for Podcast:https://linktr.ee/UFOChroniclesPodcastThank you for listening!Like share and subscribe it really helps me when people share the show on social media, it means we can reach more people and more witnesses and without your amazing support, it wouldn't be possible.Become a supporter of this podcast: https://www.spreaker.com/podcast/ufo-chronicles-podcast--3395068/support.

A Wall Street Journal op-ed about the University of California's SAT ban sparked a national conversation about college admissions, academic standards and whether students are arriving on campus ready for rigorous STEM coursework.In this episode, Matt speaks with Svetlana Jitomirskaya, professor of mathematics at UC Berkeley and one of the faculty members behind an open letter calling on the University of California system to reinstate standardized testing. More than 1,500 faculty members have signed on, warning that test-blind admissions have masked severe preparation gaps among incoming students.But this conversation is not really about one test. It's about what happens when high school grades no longer signal readiness, when universities lose an objective baseline for admissions, and when students are placed into STEM programs without the math foundation they need to succeed.Svetlana argues that removing the SAT was supposed to expand access, but in practice may be hurting the very students it was meant to help. Without a clear measure of readiness, students from underprepared K-12 systems can arrive at elite universities only to face remedial math, repeated calculus failures, major changes or the collapse of a STEM dream they were told they were ready to pursue.For educators, employers and policymakers, the stakes are bigger than the SAT. This is a conversation about standards, equity, accountability and the future STEM talent pipeline.Resources in this Episode:Read the op ed in the Wall Street Journal: "The University of California Needs the SAT Back"Read the official open letter to the UC Board of RegentsSee more on the episode page: https://techedpodcast.com/svetlana/We want to hear from you! Send us a text.Instagram - Facebook - YouTube - TikTok - Twitter - LinkedIn

Can artificial intelligence completely replace a manufacturing workforce, and how are massive manufacturing plants adapting to the modern skill gap? In this episode of Manufacturing Talk Radio, host Lewis Weiss sits down with Tanushree Ghosh, the Senior Director leading site operations at Medtronic's Tempe complex. Managing a population of nearly 800 people across a nine-building facility, Tanushree oversees the production of critical cardiovascular, neurovascular, and pelvic health medical devices. Drawing from her PhD background in science and material chemistry—alongside a 17-year career at Intel—she delivers an authentic look into running a complex manufacturing ecosystem. Tune in as Lewis and Tanushree break down the actual reality of AI proliferation on the factory floor, separating the media hype from cost-effective operational constraints. Tanushree shares how large companies effectively manage long-term internship and workforce models to upskill the next generation. Finally, explore her parallel career as an author and the founder of the non-profit Her Rights, where she targets gender parity, workforce diversity, and social activism. Timestamps to Watch: 00:00 – Meet Guest Tanushree Ghosh: Senior Director at Medtronic 02:15 – Inside the Tempe Complex: Medical Device Manufacturing at Scale 03:41 – Addressing the Skill Gap, Obsolete Equipment, and Workforce Realities 05:06 – Developing Long-Term Interships & Mentorship Programs 08:47 – The Real Impact of AI vs. AI Hype in 2026 Manufacturing 13:17 – Capital Equipment Depreciation and the Mathematics of Automation 16:14 – Leveraging AI and Startups for Small to Medium-Sized Companies 19:59 – Social Activism: Founding "Her Rights" and Fostering Gender Equality 21:35 – Authorship & Literature: Navigating Fiction, Non-Fiction, and Social Change 24:54 – Ruthless Efficiency: Work-Life Balance and Finding Personal Success 29:05 – The Struggle of the "Stanford Duck": Being Vulnerable About Mental Health Continued Reading + Resources Queer Chronicles Book: https://mybook.to/queerchronicles Beyond #MeToo Book: https://www.amazon.com/Beyond-MeToo-Ushering-Womens-Noise-ebook/dp/B0CN4GJVFN Her Rights Advocacy: https://www.herrights.org/ Thoughts & Rights Platform: https://www.thoughtsandrights.com/ Connect with our Guest Instagram: @thoughtsrightsnimages X: @thoughtsnrights Learn more about your ad choices. Visit megaphone.fm/adchoices

Throwbacks are where I re-release old episodes from the archives. So don't worry if you have heard it already, as 'New episodes' will continue to come out on Sundays. To get some of the old episodes heard.~~~We are joined by Dr. Ogi Ogas, who comes to us from Boston, Massachusetts. Dr. Ogas is a mathematical neuroscientist and author, and he will be sharing his 30-year encounters with intelligent extraterrestrials, which he refers to as Intex.Journey of the Mind: How Thinking Emerged from Chaosby Ogi OgasAmazon: https://amzn.to/45z6MRZMore information on this episode on the podcast website:https://ufochroniclespodcast.com/ep-250-the-maze-of-souls/Want to share your encounter on the show?Email: UFOChronicles@gmail.comOr Fill out Guest Form:https://forms.gle/uGQ8PTVRkcjy4nxS7Podcast Merchandise:https://www.teepublic.com/user/ufo-chronicles-podcastHelp Support UFO CHRONICLES by becoming a Patron:https://patreon.com/UFOChroniclespodcastX: https://x.com/UFOchronpodcastAll Links for Podcast:https://linktr.ee/UFOChroniclesPodcastThank you for listening!Like share and subscribe it really helps me when people share the show on social media, it means we can reach more people and more witnesses and without your amazing support, it wouldn't be possible.Become a supporter of this podcast: https://www.spreaker.com/podcast/ufo-chronicles-podcast--3395068/support.

Episode122-Albert Vilalta Riera, "When You Talk To Mathematics, Mathematics Talks Back To You"

In this episode of the Homeschool Your Kids podcast, Professor Akil Parker joins Jae to discuss how we can revolutionize the way we approach mathematics by bringing it into the home and our daily lives. Learn how to turn everyday moments into educational opportunities while empowering yourself as your child's primary educator.

Terence Tao was a child prodigy, and became a mathematics professor in the United States at age 24. In his early 30s he won the Fields Medal, known as 'the Nobel Prize of Mathematics'. Tao is considered one of the greatest living mathematicians, in part because of the breadth of his contributions to the field – from finding new patterns in prime numbers to solving several of the "unsolvable" Erdős problems. On Monday, the King's Birthday, Tao was awarded Australia's highest civilian honour, the Companion of the Order of Australia. In this bonus episode of The Briefing, Terence Tao, AC, speaks with Natarsha Belling about the pleasures of solving problems, and how maths makes the world a less scary place. If you want more Terence Tao, one of the YouTube channels he mentions is 3Blue1Brown, and Tao is featured on an episode. Follow The Briefing: TikTok: @thebriefingpodInstagram: @thebriefingpodcast YouTube: @TheBriefingPodcastSee omnystudio.com/listener for privacy information.

Ed Sheeran Biography Flash a weekly Biography. Ed Sheeran's last few days have been quietly history‑making. The biggest biographical development is business, not music: Ed has now confirmed that he is **an independent artist**, ending a 15‑year run with Warner Music that covered the entire Mathematics era and his rise to one of the most streamed artists on the planet. According to recent posts highlighted on Instagram, the move comes after 170 million album sales and tens of billions of streams, and it effectively puts future master and release decisions directly in his own hands. That shift, from major‑label cornerstone to self‑directed mogul, is likely to be one of the defining chapters in any future Sheeran biography. On the ground, he has been anything but quiet. BackstageAxxess reports that Ed has teamed up with Orange Amps for a new global “Play It Home” grassroots music campaign, launched first in his hometown of Ipswich. The rollout began with a surprise hometown performance that drew roughly two thousand fans, an echo of the street‑busker‑turned‑stadium‑act story that has always powered his mythology. In parallel, Orange's official channels have been pushing a new Ed Sheeran ES Series amplifier line, positioning him not just as a songwriter but as a gear‑shaping collaborator in the guitar world. Touring remains central. The Denver Gazette reports that Ed is set to return to the Mile High City on July 4 as part of the continuing Mathematics tour, a follow‑up to his 2023 record‑breaking stadium date there. On YouTube, his team has just dropped Loop Tour Diaries from the Latin America leg in May 2026, showing Ed workshopping songs, responding to fan signs, and leaning heavily into his one‑man‑band looping setup. That behind‑the‑scenes content underlines how committed he is to live performance as his primary creative laboratory. In the rumor lane, some fan pages have circulated talk of new U.S. music news and possible collaborations, including chatter sparked by DJ interviews referencing older unreleased Ed Sheeran material, but as of now those future projects are not confirmed by Ed or his official channels and should be treated as speculation. You've been listening to Ed Sheeran Biography Flash. Thanks for tuning in, and be sure to subscribe so you never miss an update on Ed Sheeran, and search the term Biography Flash for more great biographies. Thanks for listening. This has been a Quiet Please production. Get the best deals https://amzn.to/3ODvOta

Dr. John Lennox has lived one of the most remarkable lives in modern Christian thought. From sitting in on CS Lewis's final lectures at Cambridge in 1962, earning his PhD and teaching at Oxford as Emeritus Professor of Mathematics, debating Richard Dawkins and Christopher Hitchens, and authoring best-selling books on faith, science, suffering, AI, and Revelation. In this conversation, Dr. Lennox joins me to discuss his new autobiography, My Story. We talk about his encounter with CS Lewis, what he considers the hardest objection to Christianity (suffering and evil), and how his mind is increasingly filled with the hope of heaven. READ: My Story: A spiritual and intellectual autobiography by John C. Lennox (https://a.co/d/0acz3D0D) *Get a MASTERS IN APOLOGETICS or SCIENCE AND RELIGION at BIOLA (https://bit.ly/3LdNqKf) *USE Discount Code [smdcertdisc] for 25% off the BIOLA APOLOGETICS CERTIFICATE program (https://bit.ly/3AzfPFM) *See our fully online UNDERGRAD DEGREE in Bible, Theology, and Apologetics: (https://bit.ly/448STKK) FOLLOW ME ON SOCIAL MEDIA: Twitter: https://x.com/Sean_McDowell TikTok: https://www.tiktok.com/@sean_mcdowell?lang=en Instagram: https://www.instagram.com/seanmcdowell/ Website: https://seanmcdowell.org Discover more Christian podcasts at lifeaudio.com and inquire about advertising opportunities at lifeaudio.com/contact-us.

On this interview of 518 Rising Stars with H Bosh Jr. Deacon Elijah "Eli" Jackson shares his journey as a standout student-athlete, community leader, and graduating senior earning both his diploma and associate's degree in Mathematics and Science while inspiring others though leadership, faith, and service.

Irish children became less accomplished in reading and mathematics after the Covid-19 pandemic, with children from poorer backgrounds falling further behind their better-off peers.That is according to new research from UCD's Children's School Lives study.Professor Dympna Devine, Principal Investigator for Children's Student Lives at UCD and Professor of Education, Society and Critical Childhood Studies, joined Anton to discuss the findings.

Irish children became less accomplished in reading and mathematics after the Covid-19 pandemic, with children from poorer backgrounds falling further behind their better-off peers.That is according to new research from UCD's Children's School Lives study.Professor Dympna Devine, Principal Investigator for Children's Student Lives at UCD and Professor of Education, Society and Critical Childhood Studies, joined Anton to discuss the findings.

In this week's episode of The Learning Curve, co-hosts Alisha Searcy of the Center for Strong Public Schools and Jake Tawney of the Institute for Catholic Liberal Education speak with Dr. Snezana Lawrence, an independent scholar affiliated with Middlesex University London, about the origins and development of mathematics across human civilizations. Dr. Lawrence reflects on […]

What happens when the evidence of injustice is buried in messy, redacted, or inaccessible data? Mathematician and data scientist Chad Topaz joins Breaking Math to discuss his book Unlocking Justice. Together, we explore policing, sentencing, public records, Rikers Island, algorithmic risk, and the limits of quantifying human lives. This is a conversation about math, power, transparency, and the small acts of hope that can change systems. Chapters00:00 Introduction and Context of the Conversation01:11 Chad's Journey from Mathematics to Social Justice03:50 The Personal Nature of Chad's Book04:40 Challenges in Data Collection and Access08:03 The Impact of Data on Policing and Surveillance09:51 Humorous Yet Tragic Data Collection Experiences12:55 The Importance of Data Preparation and Cleaning14:40 Navigating Imperfect Data and Its Consequences17:48 The Balance Between Quantification and Human Stories22:25 Incarceration and Public Health: The Rikers Island Case Study31:36 Mathematics and Social Justice: Secrets of the Elite39:03 Hope and Action: A Personal Journey in Data for JusticeFollow Chad Topaz onBluesky(https://bsky.app/profile/chadtopaz.bsky.social) Book (https://amzn.to/3S21pKb)Follow Breaking Math onSubstack (https://breakingmath.substack.com/)X (https://x.com/breakingmathpod)Instagram (https://www.instagram.com/breakingmathmedia/)Bluesky (https://bsky.app/profile/breakingmath.bsky.social)Website (https://www.breakingmath.io/)YouTube (https://www.youtube.com/@BreakingMathPod)Follow Noah onInstagram (https://www.instagram.com/profnoahgian/)X (https://x.com/ProfNoahGian)Bluesky (https://bsky.app/profile/profnoahgian.bsky.social)Follow Autumn onX (https://x.com/1autumn_leaf)Bluesky (https://bsky.app/profile/1autumnleaf.bsky.social)Instagram (https://www.instagram.com/1autumnleaf/)Substack (https://substack.com/@1autumnleaf)email: breakingmathpodcast@gmail.com

In this week's episode of The Learning Curve, co-hosts Alisha Searcy of the Center for Strong Public Schools and Jake Tawney of the Institute for Catholic Liberal Education speak with Dr. Snezana Lawrence, an independent scholar affiliated with Middlesex University London, about the origins and development of mathematics across human civilizations. Dr. Lawrence reflects on her work, including her book A Little History of Mathematics, tracing early counting systems and artifacts such as the Mesopotamian cuneiform and Egyptian mathematical practices. She explains how Greek thinkers like Pythagoras and Euclid shaped mathematics, geometry, and logical reasoning, while highlighting India's development of zero and the later adoption of the Hindu-Arabic numeral system. She connects these mathematical traditions to modern science through Copernicus, Kepler, Galileo, and the Newton–Leibniz calculus controversy, underscoring mathematics as the language of science and discovery across time and diverse human civilizations. In closing, Dr. Lawrence reads a passage from her book, A Little History of Mathematics.

What if the biggest problem in education isn't intelligence, but language?In this episode of Living The Red Life, Aditya Nagrath, founder of Elephant Learning and a PhD in Mathematics and Computer Science, reveals why four out of five students begin school already behind in math and how that single gap can shape an entire future. After building software companies, leading engineering teams, and navigating devastating business setbacks, Aditya uncovered an opportunity far bigger than technology: transforming the way children learn mathematics.He shares the unconventional thinking behind Elephant Learning, the science of teaching math as a language, and the performance-driven system producing measurable gains in just minutes per week. This conversation explores education innovation, entrepreneurship, STEM success, learning psychology, and the power of solving massive societal problems through scalable systems.Key Takeaways• Why mathematics should be taught as a language, not memorization• The hidden kindergarten gap affecting millions of students• How a business collapse led to a mission-driven education company• Why algebra is the foundation for success across STEM fields• The leadership principle that helped build a scalable education platformNotable Quotes• "Mathematics is happening everywhere, even when people don't realize it."• "If the student understands the teacher, the education system works."• "The goal is understanding, not repetition."• "We've measured about a year and a half of math growth in just ten weeks."• "Empowerment means giving people power where there was none before."Connect with Rudy Mawer:LinkedInInstagramFacebookTwitter

When a clothing manufacturer selects a high-quality fabric, he is usually concerned enough to make sure that good workmanship goes into the final product. In a similar way, the fabric of the creation tells us a lot about its Creator. Mathematics, more than anything else, reflects the fabric of the creation.Many scientists today are puzzled by the fact that the material world they study can be accurately described in mathematical equations. The falling of a stone or a feather, even the colors of a rainbow, all correspond to mathematical formulae. Even chaos has a mathematical description. One Nobel physicist was moved to write a paper entitled, “The Unreasonable Effectiveness of Mathematics in the Natural Sciences.”Because mathematics so precisely describes reality, we can send a space probe billions of miles, on perfect target. Mathematics allow us to receive the pictures it returns to Earth using a transmitter no more powerful than a five-watt light bulb. As one science writer put it, scientists use mathematics as a wonderful gift but they have no idea why it works so well.Of course, creation scientists don't wonder why math works. They know that the creation is the work of an orderly and wise Creator Who was pleased with His final product. The precision of mathematics reflects the excellent quality of His fine workmanship.Genesis 1:31"And God saw every thing that he had made, and, behold, it was very good. And the evening and the morning were the sixth day.”Prayer: Dear Father, I praise You because You have truly, done all things well. Help me to be a better witness to Your excellent workmanship to those around me. In Jesus' Name. Amen. To support this ministry financially, visit: https://www.oneplace.com/donate/1232/29?v=20251111

DC EKG with Joe GroganThe Economics of Ozempic and Other Weight Loss DrugsEpisode 136.5 (“Prescription Refill” – A replay from the archives)Original Air Date: May 2024In this episode, Joe Grogan welcomes Ben Ippolito, Senior Fellow in Economic Policy Studies at the American Enterprise Institute, to discuss the rapidly evolving economics of GLP-1 weight loss drugs like Ozempic and Wegovy.Ben explains the two main competitors in this market—Novo Nordisk's Ozempic and Wegovy versus Eli Lilly's Mounjaro and Zepbound. Revealing how insurance coverage decisions drive pharmaceutical marketing strategy.The conversation reveals a critical irrationality in Medicare policy: the statutory prohibition on covering weight loss drugs despite their profound clinical and quality-of-life benefits. Yet these same drugs are covered for diabetes and cardiovascular risk reduction.Ben explores the surprising economics of drug pricing through gross-to-net pricing—the massive gap between list prices and what insurers actually pay through rebates and discounts.The episode examines critical implications of the Inflation Reduction Act's price negotiation provisions. Once Medicare negotiates Ozempic's price, that same price applies to all products using the same active ingredient. This creates cascading market effects: competitors must match those prices to remain on formularies, new entrants face lower pricing power even if clinically superior, and pharmaceutical companies may abandon promising programs due to regulatory uncertainty.Ben argues Congress doesn't need to act immediately to expand Medicare coverage, but likely will within a few years.Joe and Ben discuss unintended consequences of government price regulation, including effects on innovation and drug development pipelines. They explore how price controls announced before elections affect pharmaceutical strategy and development timelines.Concluding with Ben's research on Medicare Advantage and why both Democrats and Republicans scrutinize this private alternative to traditional Medicare. With over 50 percent of seniors enrolled in Medicare Advantage plans, bipartisan interest in reform is reshaping healthcare policy conversations on Capitol Hill.Key TopicsGLP-1 drugs, Ozempic, Wegovy, Mounjaro, Zepbound, weight loss medications, obesity treatment, Medicare coverage, drug pricing, Inflation Reduction Act, pharmaceutical competition, rebates, gross-to-net pricing, health economics, cardiovascular benefits, diabetes treatment, Medicare Advantage, healthcare policy, innovation incentivesKey Timestamps00:00 Cold Open: "Turned Up to 11"00:24 Welcome to DC EKG00:46 Meet Ben Ippolito (AEI)03:48 The GLP-1 Landscape: Ozempic, Wegovy, and the Field05:04 One Drug, Two Names06:45 Medicare's Weight-Loss Coverage Ban07:21 Blockbusters and Big Effect Sizes09:32 Why Isn't Congress Acting?10:17 Why It Costs Less Than You Think12:34 The Coverage Irrationality14:05 Quality of Life as a Real Benefit15:17 Beyond Weight: Cravings and Addiction18:21 Devil's Advocate: Why Cover It At All?19:48 Gross-to-Net and the Rebate Problem22:41 Why Can't You Just Pay Cash?25:43 The IRA and the Ozempic Price Cut27:32 One Ingredient, One Price30:10 Unintended Consequences in Part D34:01 New Competitors and Killed Programs38:03 What's Next: Medicare Advantage42:04 Wrap-Up and CreditsAbout the Guest(As of May 2024) Ben Ippolito is a Senior Fellow in Economic Policy Studies at the American Enterprise Institute. He holds a PhD and Master's degree in Economics from the University of Wisconsin-Madison and a Bachelor's degree in Mathematics and Economics from Emory University. Ben examines drug pricing policy, Medicare Advantage, and healthcare innovation economics with regular engagement with Congress.Podcast: DC EKG with Joe GroganGuest: Ben IppolitoSponsor: Survivors for SolutionsProducer: Stay on Course StudiosExecutive Producer: John CZ Czwartacki, DC EKG Podcast

Mathematics was once a required practice in the duck blind, courtesy of the point system of the 70s and 80s. Dr. Jim Dubovsky, U.S. Fish and Wildlife Service central flyway representative, joins Dr. Mike Brasher for a trip down memory lane to discuss the origination, objectives, implementation, and critiques of the old point system, a once common regulatory alternative for duck harvest. Although liked and enjoyed by managers and hunters alike, it wasn't without its challenges. Listen now: www.ducks.org/DUPodcastSend feedback: DUPodcast@ducks.orgSPONSORS:Purina Pro Plan: The official performance dog food of Ducks UnlimitedWhether you're a seasoned hunter or just getting started, this episode is packed with valuable insights into the world of waterfowl hunting and conservation.Bird Dog Whiskey and Cocktails:Whether you're winding down with your best friend, or celebrating with your favorite crew, Bird Dog brings award-winning flavor to every moment. Enjoy responsibly.

Geometry, algebra, trigonometry and calculus are among the most very advanced forms of mathematics. But have you ever noticed how throughout the bible God solves problems by  supernaturally employing the basic mathematical processes of addition, subtraction, multiplication and division?Mathematics is directly related  to the topic of purpose, specifically God's purpose because God does not do anything without purpose and understanding God's purpose leads us to the idea of divine providence. Providence is demonstrated in the lives of Abraham, Gideon and so many stories and it all points to the fact that God will see it to it that whatever has to be done will be done Support the showGrowing our inner man as we connect with God's Word

SpaceX, Anthropic and OpenAI are all racing to the public markets. We discuss what their I.P.O.s mean for the industry, charitable giving and anyone invested in an index fund. Then, more than 1,000 mathematicians signed a declaration this week raising concerns about the use of A.I. in their field. Author Kevin Hartnett joins to explain what the fuss is all about. And finally, we run through the biggest headlines of the week — including the new executive order on A.I. — in a round of HatGPT.   Guest: Kevin Hartnett, author of The Proof In the Code: How a Truth Machine is Transforming Math and AI Additional Reading: Anthropic Files to Go Public, Setting Stage for Huge I.P.O. As A.I. Makes Strides in Mathematics, Mathematicians Urge Caution ​​An SF Startup Is Secretly Testing Robots in Airbnbs, and Trashing Them, Lawsuit Claims Trump Signs Executive Order Seeking Oversight of A.I. Models  U.S. Is Said to Be Investigating George Santos Over Kalshi Betting Hackers Simply Asked Meta AI to Give Them Access to High-Profile Instagram Accounts. It Worked United Flight Forced to Turn Around Because of a Bluetooth Speaker Name ‘Survivor' Boss Jeff Probst Says Kalshi and Polymarket Are ‘Incentivizing People to Lie, Cheat and Steal'; Kalshi Is Now Considering Measures to Prevent Spoilers   We want to hear from you. Email us at hardfork@nytimes.com. Find “Hard Fork” on YouTube and TikTok. Subscribe today at nytimes.com/podcasts or on Apple Podcasts and Spotify. You can also subscribe via your favorite podcast app here https://www.nytimes.com/activate-access/audio?source=podcatcher. For more podcasts and narrated articles, download The New York Times app at nytimes.com/app. Hosted by Simplecast, an AdsWizz company. See pcm.adswizz.com for information about our collection and use of personal data for advertising.

Posing Purposeful Questions with Dr. DeAnn Huinker ROUNDING UP: SEASON 4 | EPISODE 19 Educational theorist Charles De Garmo once said, "To question well is to teach well. In the skillful use of the question, more than anything else, lies the fine art of teaching."  In this re-release of an episode from Season 1, our guest is Dr. DeAnn Huinker, one of the coauthors of Taking Action: Implementing Effective Mathematics Teaching Practices in Grades K-5. We'll talk with DeAnn about the art and the science of questioning and ways that teachers can maximize the impact of their questions on student learning. BIOGRAPHY Dr. DeAnn Huinker is a professor of mathematics education in the division for teaching and learning and directs the Center for Mathematics and Science Education Research at University of Wisconsin–Milwaukee. Dr. Huinker teaches courses in mathematics education at the early childhood, elementary, and middle school levels. RESOURCES Principles to Actions: Ensuring Mathematical Success for All book by National Council of Teachers of Mathematics  Taking Action book series by National Council of Teachers of Mathematics 5 Practices for Orchestrating Productive Mathematics Discussions book by Margaret (Peg) Smith and Mary Kay Stein "Asking Questions in First-Grade Mathematics Classes: Potential Influences on Mathematical Thought" journal article by Michelle Perry and colleagues "Teaching is a Cultural Activity" journal article by James W. Stigler and James Hieber TRANSCRIPT Click here for a full episode transcript.

Jason Howell and Jeff Jarvis open on the biggest week in AI yet: Anthropic closed a $65 billion round at a $965 billion valuation, passing OpenAI, right as OpenAI crossed 1 billion monthly users and SpaceX, Anthropic, and OpenAI all line up to go public. They get into what a $4 trillion IPO wave means for the market, plus Claude Opus 4.8 and Anthropic's Mythos expansion. Also in this episode: Google lets publishers opt out of AI search, Microsoft floods Build 2026 with seven new models and an always-on agent, Nvidia's RTX Spark aims to reinvent the PC, companies start rationing AI as costs explode, ElevenLabs ships emotion-preserving dubbing, plus math, robots, a Meta chatbot hack, MiniMax M3, and Trump's scaled-back AI order. Find every episode at aiinside.show. Note: Time codes subject to change depending on dynamic ad insertion by the distributor. 0:00 - Start 0:03:48 - Anthropic raises $65B Series H at a $965B valuation, overtaking OpenAI 0:15:50 - ChatGPT app hits 1 billion monthly active users in record time, data shows 0:17:09 - Anthropic launches Claude Opus 4.8, its most honest model yet 0:21:46 - Anthropic expands Mythos to 150 additional organizations in more than 15 countries 0:29:48 - Microsoft Build 2026 keynote: seven AI models, MAI-Thinking-1, Project Solara, and a Copilot super app 0:31:17 - Inside Microsoft's Project Solara: A new platform for devices that run AI agents instead of apps 0:40:54 - Nvidia announces the RTX Spark Arm chip at Computex 2026 0:47:05 - Amazon kills internal AI leaderboard after employees gamed it with pointless tasks 0:48:18 - Uber caps monthly employee AI spending at $1,500 per tool amid soaring costs 0:50:32 - ElevenLabs launches Dubbing v2, preserving emotion across 90+ languages 0:56:27 - AI startup Shift offers free NYC home cleaning to collect robot training data 0:59:31 - As A.I. Makes Strides in Mathematics, Mathematicians Urge Caution 1:01:00 - Hackers used Meta's AI support chatbot to hijack high-profile Instagram accounts 1:03:23 - China's MiniMax launches M3, rivaling Claude Opus 4.7 at $0.12 per million tokens 1:04:19 - Trump signs a scaled-back AI executive order Hosts: Jason Howell and Jeff Jarvis  Download and subscribe to AI Inside in audio and video: https://aiinside.show/  Support the podcast on Patreon for special perks: https://www.patreon.com/aiinsideshow. You'll get ad-free episodes, members-only Discord, T-shirts and stickers you love, and get ad-free audio and video feeds, a members-only Discord, and exclusive content. Learn more about your ad choices. Visit megaphone.fm/adchoices

On this interview of 518 Rising Stars with H Bosh Jr. Deacon Elijah "Eli" Jackson shares his journey as a standout student-athlete, community leader, and graduating senior earning both his diploma and associate's degree in Mathematics and Science while inspiring others though leadership, faith, and service.

Jason discusses the importance of investment psychology and mathematical analysis when managing real estate portfolios. He highlights recent updates to Property Tracker, a complimentary software tool designed to help users benchmark their assets against the S&P 500 and monitor leveraged returns. Through a sample analysis of a property in Indianapolis, he demonstrates how inflation-induced debt destruction and tax strategies like cost segregation can significantly enhance profitability. He argues strongly against paying off mortgages entirely, explaining that maintaining leverage typically lowers risk while increasing overall returns. Jason concludes by encouraging investors to utilize professional consultations and educational masterclasses to optimize their portfolios based on specific financial goals. Get your FREE property tracker account https://propertytracker.com/ Book a FREE consult with our Investment counselors today! Join our FREE Masterclass every second ednesday of each month JasonHartman.com/Wednesday Key Takeaways: 0:00 Trump haters love what he's done to Washington DC 3:16 Demo of your FREE property software account 5:10 Sample property demo in Indianapolis 13:00 Input date: Changing the numbers    _______________________________________________________________   Follow Jason on TWITTER, INSTAGRAM & LINKEDIN Twitter.com/JasonHartmanROI Instagram.com/jasonhartman1/ Linkedin.com/in/jasonhartmaninvestor/ Call our Investment Counselors at: 1-800-HARTMAN (US) or visit: https://www.jasonhartman.com/ Free Class:  Easily get up to $250,000 in funding for real estate, business or anything else: http://JasonHartman.com/Fund CYA Protect Your Assets, Save Taxes & Estate Planning: http://JasonHartman.com/Protect Get wholesale real estate deals for investment or build a great business – Free Course: https://www.jasonhartman.com/deals Special Offer from Ron LeGrand: https://JasonHartman.com/Ron Free Mini-Book on Pandemic Investing: https://www.PandemicInvesting.com

Anthropic confidentially filed for an IPO that could come as soon as this fall, joining SpaceX and OpenAI in a $4T listing parade. Anthropic expands Mythos access to 15+ countries, Alphabet raises $80B for AI spending, and mathematicians publish a warning declaration on AI. Anthropic says it has confidentially filed for an IPO, which could happen as soon as this fall, joining OpenAI and SpaceX in preparing to go public in 2026 (NYT) Anthropic says it will extend Project Glasswing to organizations in 15+ countries, sources say giving Mythos access to Five Eyes, NATO, Samsung, SK, and others (FT) Alphabet is raising $80B through equity offerings, including a $10B investment deal with Berkshire, to fund AI spending, in one of the largest equity deals ever (Bloomberg) Sixteen mathematicians publish the Leiden Declaration on AI and Mathematics to warn of potential threats to the field, such as around accuracy and reliability (NYT) Learn more about your ad choices. Visit megaphone.fm/adchoices

In this episode, we explore a recent article, titled “Preservice Teachers' Evolving Knowledge Around Technology for Teaching Mathematics”, from Volume 14, Issue 2 of the Mathematics Teacher Educator journal. In this discussion we will focus on the problem addressed in the article, the work behind it, and what it means for practice. This discussion is led by Joel Amidon and article authors, Kelly Navas and Karina Hensberry. Navas, K., & Hensberry, K. K. R. (2026). Preservice Teachers' Evolving Knowledge Around Technology for Teaching Mathematics. Mathematics Teacher Educator, 14(2), 102-120. Retrieved Jun 1, 2026, from https://doi.org/10.5951/MTE.2024-0039 PhET Interactive Simulations Mathematics Teacher Educator Writing Tool The Mathematics Teacher Educator podcast is supported by Amidon Planet.Special Guests: Karina Hensberry and Kelly Navas.

Common But Not Normal: Treating Pelvic Organ Prolapse Maintaining an active lifestyle is vital for healthy aging, but conditions like pelvic organ prolapse can abruptly isolate individuals and disrupt daily life. This condition occurs when weakened pelvic floor muscles can no longer support surrounding organs, leading to symptoms like bladder leakage, bowel difficulties, and physical discomfort. Our experts debunk common misconceptions, offer treatment options, and emphasize the importance of pelvic health awareness. Guests: Dr. Savitha Krishnan, urogynecologist, El Camino Health Jane, prolapse patient   Astrology Pt.2: Is Your Health And Success Written In The Stars? Though astrology was removed from academia in the 17th century, the ancient practice has experienced a massive modern resurgence. Data shows that public belief in its scientific merit has remained steady since the 1980s. This segment explores the enduring cultural power of astrology, the varying definitions of what makes something "Scientific," and why millions of people still rely on the stars. Guests:  Neda Farr, celebrity astrologer, creator, Starcrossed App Steven Vanden Broecke, Ph.D., professor of history of science, Ghent University Facebook: ingoodhealthpodX: @ ingoodhealthpodIG: @ingoodhealthpodYouTube: @ingoodhealthpodSpotify Apple Podcast In Good Health PodcastSubscribed to the newsletterFull ArchiveContact UsBecome an Affiliate Hosted by Simplecast, an AdsWizz company. See pcm.adswizz.com for information about our collection and use of personal data for advertising.

Astrology Pt.2: Is Your Health And Success Written In The Stars? Though astrology was removed from academia in the 17th century, the ancient practice has experienced a massive modern resurgence. Data shows that public belief in its scientific merit has remained steady since the 1980s. This segment explores the enduring cultural power of astrology, the varying definitions of what makes something "Scientific," and why millions of people still rely on the stars. Guests:  Neda Farr, celebrity astrologer, creator, Starcrossed App Steven Vanden Broecke, Ph.D., professor of history of science, Ghent University Host: Greg Johnson Producer: Kristen Farrah. Facebook: ingoodhealthpodX: @ ingoodhealthpodIG: @ingoodhealthpodYouTube: @ingoodhealthpodSpotify Apple Podcast In Good Health PodcastSubscribed to the newsletterFull ArchiveContact UsBecome an Affiliate Hosted by Simplecast, an AdsWizz company. See pcm.adswizz.com for information about our collection and use of personal data for advertising.

In this episode of ACM ByteCast, Rashmi Mohan hosts 2025 ACM Fellow Cynthia Rudin, the Gilbert, Louis, and Edward Lehrman Distinguished Professor of Computer Science, Electrical and Computer Engineering, Statistical Science, Mathematics, and Biostatistics and Bioinformatics at Duke University, where she leads the Interpretable Machine Learning Lab. Her lab, which seeks to design predictive ML models that people can understand, focuses on areas including healthcare, criminal justice, and energy reliability. Among her honors, she has received the Squirrel Award for Artificial Intelligence from the Association for the Advancement of Artificial Intelligence (AAAI), as well as the IJCAI John McCarthy Award. Rudin was recently named an ACM Fellow for contributions to and leadership in interpretable machine learning and societal applications. In the interview, Cynthia clarifies the crucial distinction between "interpretable" and “explainable" AI and makes the argument that true interpretability is foundational to trustworthy, ethical AI. She shares her extensive field experience collaborating with Con Edison engineers on power grid maintenance, neurologists on medical diagnostics, and the Cambridge Police Department on crime series detection, countering the widespread industry myth that AI performance must be sacrificed for transparency. She describes an innovative paradigm her lab developed to solve the "interaction bottleneck" between data scientists and domain experts, leveraging "Rashomon sets" to generate millions of equally accurate models simultaneously, using human-computer interaction (HCI) tools to create visual, encyclopedia-like interfaces.

On this interview of 518 Raising Stars with H Bosh Jr. Deacon Elijah "Eli" Jackson shares his journey as a standout student-athlete, community leader, and graduating senior earning both his diploma and associate's degree in Mathematics and Science while inspiring others though leadership, faith , and service.

Maynooth University's (MU) has announced the launch of 25 new Faculty of Science & Engineering (FSE) ARDÚ Doctoral Scholarships, marking a major investment in the next generation of research talent and innovation. The FSE ARDÚ Doctoral Scholarships will support 25 PhD research students across three of the University's Research Beacons: Data Science and Digital Transformation, Health and Wellbeing, and Sustainability and Climate Change. The scholarships will fund cutting-edge research projects spanning areas such as health and disease, AI-driven healthcare analytics, and the molecular understanding of advanced materials. MU's FSE has a strong track record of delivering research that combines fundamental discovery with real-world impact. Across the faculty, researchers are addressing major challenges in health, sustainability, and digital transformation through collaborative research. By bringing together expertise from across disciplines, the ARDÚ programme will give doctoral research students the opportunity to work in a dynamic and supportive research environment while contributing to internationally recognised research. The programme reflects the faculty's strengths in computational and data science, advanced materials and physical sciences, and health, psychology, and human-centred research, supporting interdisciplinary approaches to complex real-world challenges. Each scholarship includes: Student stipend: €25,000 per annum Annual tuition fees Full-time Programme Fully funded for up to 4 Years Professor Paul Moynagh, Dean of the Faculty of Science & Engineering at MU, said: "The Faculty of Science & Engineering ARDÚ Doctoral Scholarships demonstrate Maynooth University's commitment to support of research in the Sciences and Engineering. They also provide exciting opportunities for early-stage scientists and engineers to pursue a research PhD under the supervision of world-class researchers who are making significant contributions to addressing some of the major challenges we face today." Dr Robert Elmes, Faculty of Science & Engineering Associate Dean for Research & Engagement at MU, added: "ARDÚ is a really positive development for the faculty and for the researchers who will join us through these scholarships. The projects reflect the breadth of excellent research taking place across Science and Engineering at Maynooth, while also creating space for new ideas, new collaborations and new researchers to develop. We are very much looking forward to welcoming the successful students and supporting them as they build their research careers." For more information visit: https://www.maynoothuniversity.ie/graduate-research-academy/scholarships-funding/ardu-scholarships About Maynooth University One of four constituent universities of the National University of Ireland, Maynooth University traces its origins to the foundation of the Royal College of St Patrick in 1795. It was formally established as an autonomous university in 1997. Maynooth University is one of Ireland's fastest growing universities with more than 17,000 students, including over 2,500 postgraduates. Maynooth University Faculty of Science & Engineering The Faculty of Science and Engineering comprises the departments of Biology, Chemistry, Computer Science, Electronic Engineering, Mathematics and Statistics, Physics, Psychology, Sport Science and Nutrition, and the School of Nursing. The role of the faculty is to coordinate the academic activities of individual departments, to oversee the strategic development of departments, and to support interdepartmental and interdisciplinary activities and programmes. See more breaking stories here.

What if EVERYTHING you've been taught about science, consciousness, and even your own thoughts…is incomplete? In this episode of Mayim Bialik's Breakdown, Robert Edward Grant (renowned polymath, inventor, entrepreneur, mathematician, philosopher, host of the series Code X on Gaia.com) pulls back the veil on reality itself, revealing why millions are feeling an intense shift right now as humanity crosses into the Age of Aquarius. This isn't just spiritual talk - it's a radical fusion of math, physics, ancient wisdom, and consciousness that will leave you questioning everything. Why are so many people experiencing massive life transitions right now? Is the universe actually NOT material? Are your thoughts even happening inside your brain, or somewhere else entirely? We go deep into the hidden patterns that connect numerology, astrology, mythology, and sacred geometry, uncovering why music is literally “the geometry we hear” and how math might be the source code of reality itself. Robert shares his shocking personal journey, from Big Pharma CEO to spiritual seeker, and how repeated betrayal led him to one profound realization: You are here to learn unconditional love. Discover why what you judge is exactly what you attract, why he believes everyone must go through narcissism as part of their evolution, and whether ancient civilizations like Egypt, and even Leonardo da Vinci, have known secrets about higher-dimensional geometry that we're only now rediscovering. Robert breaks down: - What if the brain isn't a storage device, but an antenna tuning into a non-local field of consciousness? - Are there hidden codes embedded in da Vinci's art? - What is the Akashic field, and could all memory (past, present, and future) exist in an invisible infrasonic frequency field connecting Earth, the sun, and human thought? - If reality is a simulation, what happens when you become lucid inside it? - Why science and spirituality are not opposites, but the same language - How all disciplines (math, biology, psychology, physics, philosophy) are just different lenses of one truth - Deeper meaning behind the most popular song the week you were born - Why prime factorization is the foundation of encryption, and possibly reality itself - His belief that God is still learning and evolving - Why he doesn't fear “dark people”, only those who deny their darkness - How much of your life is actually predestined - Why polymaths appear on the walls of the Vatican - Mystery behind his favorite number, 137 His ultimate message? You don't need a guru. You don't need AI. You don't need religion. Everything you're searching for is already within you. If you're ready to rethink reality, consciousness, and your place in the universe, this is the conversation you've been waiting for. Robert Edward Grant's Code X series on Gaia: ⁠https://robertedwardgrant.com/code-x/⁠ The Architect AI by Robert Edward Grant is also available on Gaia: ⁠https://www.gaia.com/video/architect-a-companion-tool-for-expansion⁠ Gaia's Ancient Civilizations Conference: ⁠https://marketplace.gaia.com/products/ancient-civilizations-conference-2026?srsltid=AfmBOop1lbk9d7u5RoGKruBnuMV3OMnP6pZahL1AXhkIVVCKtq2Sp55L⁠ Follow us on Substack for Exclusive Bonus Content: ⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠https://bialikbreakdown.substack.com/⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠ ⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠BialikBreakdown.com⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠ ⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠YouTube.com/mayimbialik⁠⁠⁠ Learn more about your ad choices. Visit megaphone.fm/adchoicesSee Privacy Policy at https://art19.com/privacy and California Privacy Notice at https://art19.com/privacy#do-not-sell-my-info.

What if EVERYTHING you've been taught about science, consciousness, and even your own thoughts…is incomplete? In this episode of Mayim Bialik's Breakdown, Robert Edward Grant (renowned polymath, inventor, entrepreneur, mathematician, philosopher, host of the series Code X on Gaia.com) pulls back the veil on reality itself, revealing why millions are feeling an intense shift right now as humanity crosses into the Age of Aquarius. This isn't just spiritual talk - it's a radical fusion of math, physics, ancient wisdom, and consciousness that will leave you questioning everything. Why are so many people experiencing massive life transitions right now? Is the universe actually NOT material? Are your thoughts even happening inside your brain, or somewhere else entirely? We go deep into the hidden patterns that connect numerology, astrology, mythology, and sacred geometry, uncovering why music is literally “the geometry we hear” and how math might be the source code of reality itself. Robert shares his shocking personal journey, from Big Pharma CEO to spiritual seeker, and how repeated betrayal led him to one profound realization: You are here to learn unconditional love. Discover why what you judge is exactly what you attract, why he believes everyone must go through narcissism as part of their evolution, and whether ancient civilizations like Egypt, and even Leonardo da Vinci, have known secrets about higher-dimensional geometry that we're only now rediscovering. Robert breaks down: - What if the brain isn't a storage device, but an antenna tuning into a non-local field of consciousness? - Are there hidden codes embedded in da Vinci's art? - What is the Akashic field, and could all memory (past, present, and future) exist in an invisible infrasonic frequency field connecting Earth, the sun, and human thought? - If reality is a simulation, what happens when you become lucid inside it? - Why science and spirituality are not opposites, but the same language - How all disciplines (math, biology, psychology, physics, philosophy) are just different lenses of one truth - Deeper meaning behind the most popular song the week you were born - Why prime factorization is the foundation of encryption, and possibly reality itself - His belief that God is still learning and evolving - Why he doesn't fear “dark people”, only those who deny their darkness - How much of your life is actually predestined - Why polymaths appear on the walls of the Vatican - Mystery behind his favorite number, 137 His ultimate message? You don't need a guru. You don't need AI. You don't need religion. Everything you're searching for is already within you. If you're ready to rethink reality, consciousness, and your place in the universe, this is the conversation you've been waiting for. Robert Edward Grant's Code X series on Gaia: https://robertedwardgrant.com/code-x/ The Architect AI by Robert Edward Grant is also available on Gaia: https://www.gaia.com/video/architect-a-companion-tool-for-expansion Gaia's Ancient Civilizations Conference: https://marketplace.gaia.com/products/ancient-civilizations-conference-2026?srsltid=AfmBOop1lbk9d7u5RoGKruBnuMV3OMnP6pZahL1AXhkIVVCKtq2Sp55L Get 15% off + a FREE bottle of MassZymes ($20 value) when you go to https://bioptimizers.com/breaker and use code BREAKER. Limited-time offer, only available through this link (not on Amazon or in stores). Grab it while it lasts. Machine Washable Rugs, Made Better. For a limited time only, our listeners get 10% off + free shipping at https://www.tumbleliving.com/BREAK #Tumble #adhd Text BREAKDOWN to 64000 to get 20% off all IQBAR products, plus FREE shipping. Message and data rates may apply. Start your new morning ritual & get up to 43% off your @MUDWTR with code BREAK at https://mudwtr.com/BREAK ! #mudwtrpod Follow us on Substack for Exclusive Bonus Content: ⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠https://bialikbreakdown.substack.com/⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠ ⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠BialikBreakdown.com⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠ ⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠YouTube.com/mayimbialik⁠⁠⁠ Learn more about your ad choices. Visit megaphone.fm/adchoicesSee Privacy Policy at https://art19.com/privacy and California Privacy Notice at https://art19.com/privacy#do-not-sell-my-info.

Astrology: Can This Ancient Practice Impact Your Life? Astrology is an ancient practice that's been in and out of popularity for centuries. Believers use this pseudoscience as a way to find structure and purpose in the chaos of life. Our experts explain how astrology has lasted the test of time and how it could advise your life in different areas, such as love and success. Guests: Neda Farr, celebrity astrologer, creator, Starcrossed App Steven Vanden Broecke, Ph.D., professor of history of science, Ghent University   Q-Tips, Ear Candling, And Everything You Need To Know About Earwax All of that time you spend digging earwax out of your ear isn't just a waste of time, but can be damaging your health. Earwax is a self-cleaning substance that protects our ears from infection and debris. Dr. Andrew Tagg explains the wax's various roles and when to know when you truly need a cleaning. Guest: Dr. Andrew Tagg, pediatric emergency physician, associate professor, University of Melbourne, co-founder, Don't Forget The Bubbles Facebook: ingoodhealthpodX: @ ingoodhealthpodIG: @ingoodhealthpodYouTube: @ingoodhealthpodSpotify Apple Podcast In Good Health PodcastSubscribed to the newsletterFull ArchiveContact UsBecome an Affiliate Hosted by Simplecast, an AdsWizz company. See pcm.adswizz.com for information about our collection and use of personal data for advertising.

In the age of AI, do you feel that your future is more uncertain?

This episode explores how AI, specifically OpenAI's recent breakthrough in solving an 80-year-old math conjecture, is transforming the field of mathematics. Featuring insights from Professor Daniel Litt, the discussion covers the implications of AI in mathematical research, the value of human verification, and the future of mathematical practice.Key topicsAI solving long-standing mathematical problemsThe role of human verification in AI-generated proofsImplications of AI breakthroughs in discrete geometryThe future of mathematical research with AINumber theory and algebraic constructions in AI discoveriesChapters00:00 Introduction to the Conjecture and Its Significance01:15 Understanding the Erdős Problem04:34 The Role of AI in Solving Mathematical Problems09:17 The Implications of AI in Mathematics10:32 AI vs Human Mathematicians: A Comparative Analysis17:20 Standards for AI-Generated Proofs21:10 Corporate Interests in Mathematical Research24:42 The Future of Mathematics and AI27:50 Final Thoughts on AI and Mathematics31:37 Revolutionizing Mathematics: AI's Breakthrough in Discrete Geometry37:37 Exploring the Implications: AI and the Future of Mathematics38:03 The Role of AI in Mathematics39:23 Human Value in the Age of AIFollow Daniel Litt onX (https://x.com/maiasz) Website (https://daniellitt.com)Follow Breaking Math onSubstack (https://breakingmath.substack.com/)X (https://x.com/breakingmathpod)Instagram (https://www.instagram.com/breakingmathmedia/)Bluesky (https://bsky.app/profile/breakingmath.bsky.social)Website (https://www.breakingmath.io/)YouTube (https://www.youtube.com/@BreakingMathPod)Follow Noah onInstagram (https://www.instagram.com/profnoahgian/)X (https://x.com/ProfNoahGian)Bluesky (https://bsky.app/profile/profnoahgian.bsky.social)Follow Autumn onX (https://x.com/1autumn_leaf)Bluesky (https://bsky.app/profile/1autumnleaf.bsky.social)Instagram (https://www.instagram.com/1autumnleaf/)Substack (https://substack.com/@1autumnleaf)email: breakingmathpodcast@gmail.com

Astrology: Can This Ancient Practice Impact Your Life? Astrology is an ancient practice that's been in and out of popularity for centuries. Believers use this pseudoscience as a way to find structure and purpose in the chaos of life. Our experts this week explain how astrology has lasted the test of time and how it could advise your life in different areas, such as love and success. Guests: Neda Farr, celebrity astrologer, creator, Starcrossed App, Steven Vanden Broecke, Ph.D., professor of history of science, Ghent University Host and producer: Kristen Farrah Facebook: ingoodhealthpodX: @ ingoodhealthpodIG: @ingoodhealthpodYouTube: @ingoodhealthpodSpotify Apple Podcast In Good Health PodcastSubscribed to the newsletterFull ArchiveContact UsBecome an Affiliate Hosted by Simplecast, an AdsWizz company. See pcm.adswizz.com for information about our collection and use of personal data for advertising.

Guest: Jordan Moore, User Experience Librarian at the Georgia Tech Library. First broadcast May 22 2026. Playlist "We're getting down in the weeds."

Dr. Jenny Bay-Williams, Productive Ways to Build Fluency with Basic Facts ROUNDING UP: SEASON 4 | EPISODE 18 This summer we're replaying favorite listener episodes from the first four seasons of Rounding Up—like this one from Season 1. We'll return with all new episodes in early September. Ensuring students master their basic facts remains a shared goal among parents and educators. That said, many educators wonder what should replace the memorization drills that cause so much harm to their students' math identities. Today on the podcast, Jenny Bay-Williams talks about how to meet that goal and shares a set of productive practices that also support student reasoning and sensemaking.  BIOGRAPHY Jennifer Bay-Williams is a professor of mathematics education at the University of Louisville. She has authored over 40 books and 100 journal articles and book chapters that focus on making mathematics meaningful to all students. She is an international leader in the field of mathematics education, frequently speaking at state, national, and international conferences and serving on national boards.  RESOURCES "Eight Unproductive Practices in Developing Fact Fluency" article by Gina Kling and Jennifer M. Bay-Williams Math Fact Fluency: 60+ Games and Assessment Tools to Support Learning and Retention book by Jennifer M. Bay-Williams and Gina Kling Math Fact Fluency companion website by Kentucky Center for Mathematics TRANSCRIPT Mike Wallus: Welcome to the podcast, Jenny. We are excited to have you.  Jennifer Bay-Williams: Well, thank you for inviting me. I'm thrilled to be here and excited to be talking about basic facts.  Mike: Awesome. Let's jump in. So, your recommendations start with an emphasis on reasoning. I wonder if we could start by just having you talk about the why behind your recommendation and a little bit about what an emphasis on reasoning looks like in an elementary classroom when you're thinking about basic facts.  Jenny: All right, well, I'm going to start with a little bit of a snarky response: that the non-reasoning approach doesn't work.  Mike and Jenny: (laugh)  Jenny: OK. So, one reason to move to reasoning is that memorization doesn't work. Drill doesn't work for most people. But the reason to focus on reasoning with basic facts beyond that fact, is that the reasoning strategies grow to strategies that can be used beyond basic facts. So, if you take something like the making 10 idea—that 9 plus 6, you can move one over and you have 10 plus 5—is a beautiful strategy for a 99 plus 35. So, you teach the reasoning upfront from the beginning, and it sets students up for success later on.  Mike: That absolutely makes sense. So, you talk about the difference between telling a strategy and explicit instruction. And I raise this because I suspect that some people might struggle to think about how those are different. Could you describe what explicit instruction looks like and maybe share an example with listeners?  Jenny: Absolutely. First of all, I like to use the whole phrase: "explicit strategy instruction." So, what you're trying to do is have that strategy be explicit, noticeable, visible. So, for example, if you're going to do the making 10 strategy we just talked about, you might have two 10-frames. One of them is filled with nine counters, and one of them is filled with six counters. And students can see that moving one counter over is the same quantity. So, they're seeing this flexibility that you can move numbers around, and you end up with the same sum. So, you're just making that idea explicit and then helping them generalize. You change the problems up and then they come back and they're like, "Oh, hey, we can always move some over to make a ten"—or a twenty, or a thirty, or whatever you're working on. And so, I feel like, in using the counters, or they could be stacking Unifix cubes or things like that. That's the explicit instruction. It's concrete.  And then, if you need to be even more explicit, you ask students in the end to summarize the pattern that they noticed across the three or four problems that they solved. "Oh, that you take the bigger number, and then you go ahead and complete a ten to make it easier to add." And then, that's how you're really bringing those ideas out into the community to talk about.  For multiplication, I'm just going to contrast. Let's say we're doing [the] add a group strategy with multiplication. If you were going to do direct instruction, and you're doing 6 times 8, you might say, "All right, so when you see a six," then a direct instruction would be like, "Take that first number and just assume it's a five." So then, "Five eights is how much? Write that down." That's direct instruction. You're like, "Here, do this step. Here, do this step. Here, do this step." The explicit strategy instruction would have, for example—I like, for eights, boxes of crayons because they oftentimes come in eights. So, but they'd have five boxes of crayons and then one more box of crayons. So, they could see you've got five boxes of crayons. They know that fact is 40, they—if they're working on their sixes, they should know their fives. And so, then what would one more group be about?  So, just helping them see that with multiplication through visuals, you're adding on one group, not one more, but one group. So, they see that through the visuals that they're doing or through arrays or things like that. So, it's about them seeing the number of relationships and not being told what the steps are.  Mike: And it strikes me, too, Jenny, that the role of the teacher in those two scenarios is pretty different.  Jenny: Very different. Because the teacher is working very hard (chuckles) with the explicit strategy instruction to have the visuals that really highlight the strategy. Maybe it's the colors of the dots or the exact 10-frames they've picked and have they filled them or whether they choose to use the Unifix cubes and how they're going to color them and things like that. So, they're doing a lot of thinking to make that pattern noticeable, visible. As opposed to just saying, "Do this first, do that second, do that third." Mike: I love the way that you said that you're doing a lot of thinking and work as a teacher to make a pattern noticeable. That's powerful, and it really is a stark contrast to, "Let me just tell you what to do."  I'd love to shift a little bit and ask you about another piece of your work. So, you advocate for teaching facts in an order that stresses relationships rather than simply teaching them in order. I'm wondering if you can tell me a little bit more about how relationships-based instruction has an impact on student thinking.  Jenny: So, we want every student to enact the reasoning strategies. So, I'm going to go back to addition, for example. And I'm going to switch over to the strategy that I call "pretend-to-10", also called "use 10" or "compensation." But if you're going to set them up for using that strategy, there's a lot of steps to think through. So, if you're doing 9 plus 5, then in the pretend-to-10 strategy, you just pretend that 9 is a 10. So now you've got 10 plus 5 and then you've got to compensate in the end. You've got to fix your answer because it's 1 too much. And so, you've got to come back 1. That's some thinking. Those are some steps. So, what you want is to have the students automatic with certain things so that they're set up for that task. So, for that strategy, they need to be able to add a number onto 10 without much thought.  Otherwise, the strategy is not useful. The strategy is useful when they already know 10 plus 5. So, you teach them this, you teach them that relationship—10 and some more—and then they know that 9's 1 less than 10. That relationship is hugely important, knowing 9 is 1 less than 10. And so then they know their answer has to be 1 less. 9's 1 less than 10. So, 9 plus a number is 1 less than 10 plus the number. Huge idea.  And there's been a lot of research done in kindergarten on students understanding things like 7's 1 more than 6, 7's 1 less than 8. And they're predictive studies looking at student achievement in first grade, second grade, third grade. And students—it turns out that one of the biggest predictors of success is students understanding those number relationships. That 1 more, 1 less, 2 more, 2 less. Hugely important in doing the number sense.  So that's what the relationship piece is, is sequencing facts so that what is going to be needed for the next thing they're going to do, the thinking that's going to be needed, is there for them. And then build on those relationships to learn the next strategy.  Mike: I mean, it strikes me that there's a little bit of a twofer in that one. The first is this idea that what you're doing is purposely setting up a future idea, right? It's kind of like saying, "I'm going to build this prior knowledge about ten-ness, and then I'm going to have kids think about the relationship between 10 and 9." So, the care in this work is actually really understanding those relationships and how you're going to leverage them.  The other thing that really jumps out from what you said [is] this has long term implications for students' thinking. It's not just fact acquisition; it's what you said: Research shows that this has implications for how kids are thinking further down the road. Am I understanding that right?  Jenny: That's absolutely correct. So just that strategy alone. Let's say they're adding 29 plus 39. And they're like, "Oh hey, both of those numbers are right next to the next benchmark. So instead of 29 plus 39, I'm going to add 30 plus 40, [which equals] 70. And I got, I went up 2, so I'm going to come back down 2. And I know that 2 less than a benchmark's going to land on an 8." So that, again, it's coming back to this relationship of how far apart numbers are, what's right there within a set of 10, [which] helps then to generalize within tens or within hundreds.  And by the way, how about fractions?  Mike: Hmm. Talk about that.  Jenny: (laughs) It generalizes to fractions. So, let's take that same idea of adding. Let's just say it's like, 2 and seven-eighths plus 2 and seven-eighths. So, if we just pretended those were both 3s because they're both super close to 3, then you'd have 6, and then you added on two-eighths too much. So, you come back two-eighths, or a fourth, and you have your answer. You don't have to do the regrouping with fractions and all the mess that really gets bogged down. And it's a much more efficient method that, again, you set students up for when they understand these number relationships. When you get into fractions, you're thinking about, "How close are you to the next whole number?" maybe, instead of to the next tens number.  Mike: It strikes me that if you have a group of teachers who have a common understanding of this approach to facts, and everyone's kind of playing the long game and thinking about how what they're doing is going to support what's next, it just creates a system that's much more intentional in helping kids not only acquire the facts, but build a set of ways of thinking.  Jenny: Mike, that's exactly it. I mean, here we are, we're trying to make up for lost time. We never have enough time in the classroom. We want an efficient way to make sure our kids get the most learning in. And so, to me that is about investing early in the fact strategies. Because then actually when you get up to those other things that you're adding or subtracting or multiplying or whatever you're doing, you benefit from the fact that you took time early to learn those strategies. Because those strategies are now very useful for all this other math that you're doing. And then students are more successful in making good choices about how they're going to solve those problems that are, oftentimes—especially when, I like to mention fractions and decimals at least once in a basic facts talk because we get back, by the time we get into fractions and decimals—we're back to just sometimes only showing one way. The sort of standard algorithm way. When, in fact, those basic facts strategies absolutely apply to, almost always, more-efficient strategies for working with fractions and decimals.  Mike: I want to shift a little bit. One of the things that was really helpful for me in growing my understanding is the way that you talk about a set of facts that you would describe as foundational facts and another set of facts that you would describe as derived facts. And I'm wondering if you can unpack what those two subsets are and how they're related to one another.  Jenny: Yeah. So, the foundational facts are ones where automaticity is needed in order to enact a strategy. So, to me, the foundational fact strategies are their names. Like the doubling strategy—or double and double again, some people call it. Or add a group for multiplication. And the addition ones of making 10s and pretend-to-10 strategies. And in those strategies, you can solve lots of different facts. But there's too much going on (laughs) in your brain if you don't have automaticity with the facts you need.  So, for example, if you have your 6 facts, and you're trying to get your 6 facts down. And you already know your 5s, like, automaticity with your 5s, then that becomes a useful way to get your 6s. So, if you have 6 times 8, and you know 5 times 8 is 40, then you're like, "I got one more 8, [which equals] 48." That's an added group strategy.  But if you're not automatic with your 5s, this is how this sounds when you're interviewing a child. They're going to use add a group strategy, but they don't know their 5s. So, then they're like, "Let's see. 5 times 8 is 5, 10, 15, 20, 25, 30, 40. Now, what was I doing?" Like, they can't finish it because they were skip-counting with their 5s. They lose track of what they're doing, is my point. So, the key is that they just know those facts that they need in order to use a strategy. And that, going back to, like, the pretend-to-10, they got to know 10 and some more facts to be successful. They have to know 9's 1 less than 10 to be successful. So, that's the idea is, if they reach automaticity with the foundational fact sets, then their brain is freed up to go through those reasoning strategies.  Mike: That totally makes sense.  I want to shift a little bit now. One of the things that I really appreciated about the article ["Eight Unproductive Practices in Developing Fact Fluency" by Gina Kling and Jennifer M. Bay-Williams] was that you made what I think is a very strong, unambiguous case for ending many of the past practices used for fact acquisition—worksheets and timed tests, in particular. This can be a tough sell because this is often what is associated with elementary mathematics, and families kind of expect this kind of practice. How would you help an educator explain the shift away from these practices to folks who are out in the larger community? What is it that we might help say to folks to help them understand this shift?  Jenny: That's a great question, and the real answer is it depends, again, on [the] audience. So, who is your audience? Even if the audience is parents, what do those parents prioritize and want for their children? So, I feel like there's lots of reasons to do it, but to really speak to what matters to them. So, I'm going to give a very generic answer here. But for everyone, they want their child to be successful. So, I feel that that opportunity to show, to give a problem, like 29 plus 29, and ask how parents might add that problem. And if they think 30 plus 30 and subtract 2 to get to the answer or whatever, then that gives this case to say, "Well this is how we're going to work on basic facts. We're building up so that your child is ready to use these strategies. We're going to start right with the basic facts, learning these strategies. These really matter." And the example I gave could be whatever fits with the level of their kid. So, it could be like 302 minus 299. It's a classic one where you don't want your child to implement an algorithm there; you want them to notice those numbers are 3 apart. And so, there's this work that begins early. So, I think that's part of it.  I think another part of it is helping people just reflect on their own learning experiences. What were your learning experiences with basic facts? And even if they liked the speed drills, they oftentimes recognize that it was not well-liked by most people. And also, then they really didn't learn strategies. So, I feel like we have to be showing that we're not taking something away; we're adding something in. They are going to become automatic with their facts. They're not going to forget them because we're not doing this memorizing that leads to a lot of forgetting. And, bonus, they're going to have these strategies that are super useful going forward.  So, to me, those are some of the really strong speaking points. I like to play a game and then just stop and pause for a minute and just say, "Did you see how hard it was for me to get you quiet? Do you see how much fun you were having?" And then I just hold up a worksheet (laughs). I'm like, "And how about this?" You know, again, that emotional connection to the experience and the outcomes.  Mike: That is wonderful.  Since you brought it up, let's talk about replacements for worksheets and timed tests.  Jenny: Mm-hmm.  Mike: So, you advocate for games, as you said, and for an activity-based approach. I think that what I want to try to do is get really specific so that if I'm a classroom teacher, and I can't see a picture of that yet, can you help paint a picture? What might that look like?  Jenny: I love that question because there's lots of good games and lots of places. But again, like I said earlier, this thinking really deeply about what game I'm choosing and for what—what do my students need to practice? And then being very intentional about game choice is really important.  So, for example, if students are working on their 10 and some more facts, then you want to play a game where all the facts are 10 and some more facts. That's what they're working on. And then maybe you mix in some that aren't. Or you play a game with that and then they sort cards and find all the, solve the 10 and some more, or there's lots of things they can do. They can play Concentration, where the fact is hidden and the answer is hidden and things like that. So, you can be very focused. And then when you get to the strategies, you want to have a game that allows for students to say, allow their strategies.  So, I'm a big fan of, like, sentence frames, for example. So, there's games that we have in our Math Fact Fluency[: 60+ Games and Assessment Tools to Support Learning and Retention] book [by Jennifer Bay-Williams and Gina Kling] that are in other places that specifically work on a strategy. So, for example, if I'm working on the pretend-to-10 strategy, I like to play the game Fixed-Addend War, which is the classic game of War, except there's an addend in the middle, and it's a 9, to start. And then each of the two players turns up a card. So, Mike, if you turn up a 7, then you're going to explain how you're going to use the pretend-to-10 strategy to add it. And I turned up a 6, so I'm going to, I'm going to do this then I'll, you can do it. So, I turned up a 6. So, I'm going to say, "Well, 10 and 6 is 16, so 9 and 6 is 1 less, [which equals] 15.' I've just explained the pretend-to-10 strategy. And then you get your turn.  Mike: And I'd say, "Well, 7 and 10, I know 7 and 10 is 17, so 7 and 9 has to be 1 less, and that's 16." Jenny: Yeah. So, your total's higher than mine. You win those two cards, you put them in your deck, and we move on. So, that's a way to just practice thinking through that strategy. Notice there's no time factor in that. You have a different card than I have. You have as much time, and we're doing think-aloud. These are all high-leverage practices. Then we get to the games where it's like, you might turn up a 6 and a 5 where you're not going to use the pretend-to-10 strategy for that. You've got to think, "Oh, that doesn't really fit that strategy because neither one of those numbers is really close to 10. Oh, hey, it's near a double; I'm going to use my doubles." So, you sequence these games to—if you start with one of those open-ended games, it might be too big of a jump because students aren't ready to choose between their strategies. They have to first be adept at using their strategies. And once they're adept at using them, then they're ready to play games where they get to choose among the strategies.  Mike: So, you're making me think a couple things, Jenny. One is, it's not just that we're shifting to using games as a venue to practice to get to automaticity. You're actually saying that when we think about the games, we really need to think about, "What are the strategies that we're after for kids?" And then make sure that the way that the game is structured, like, when you're talking about the pretend-to-10, with the fixed addend. That's designed to elicit that strategy and have kids work on developing their language and their thinking around that particularly. So, there's a level of intent around the game choice and the connection to the strategies that kids are thinking about. Am I understanding that right?  Jenny: That's it. That's exactly right. That's exactly right. And a huge—a lot of intentionality so that they have that opportunity in a no-pressure, a low-stress, think-through-the-strategy [way]. If they make a mistake, their peer or themselves usually correct it in the moment, and they get so much practice in. I mean, imagine going through half a deck of cards playing that game.  Mike: Yeah.  Jenny: That's 26 facts. And then picture those 26 facts (laughs) on a page of paper. And then—and again, in the game that you've got the added benefit of think-aloud, and then you're hearing what your peer has said.  Mike: You know, one of the things that strikes me is, if I'm a teacher, I might be thinking, like, "This is awesome, I'm super excited about it. Holy mackerel, do I have to figure these games out myself?" And I think the good news is, there's a lot of work that's been done on this. I know you've done some. Do you have any recommendations for folks? There's, of course, curriculum. But do you have recommendations for resources that you think, help a teacher think about this or help a teacher see some of the games that we're talking about?  Jenny: Well, I'm going to start with my Math Fact Fluency book because that is where we go through each of these strategies, each of the foundational facts sets and the strategies, and for each one supply a game. And then from those games they're easily adaptable to other settings. And some of the games are classic games. So, there's a game, for example, called Square Deal. And the idea is that you're covering a game board, and you're trying to make a square. So, you get a 2-by-2 grid taken, and you score a point or 5 points or whatever you want to score. Well, we have that game housed under the 10 and some more facts. So, all the answers are, like, 19, 16, 15, and the students turn over a 10 card and another card, and if it's a 10 and a 5, they get to claim a 15 spot on the game board.  Well, that game board can be easily adapted to any multiplication fact sets, any other addition [sets]. I like to do a Square Deal with 10 and some more, and then I like to do Square Deal with 9 and some more. There's my (laughs) effort, again, to come back to either pretend-to-10 or making 10. Where they're like, "Oh, I just played 10 and some more. Now we're doing the same game, but it's 9 and some more." So, I feel like there's a lot of games there. And there is a free companion website that has about half of the games ready to download in English and in Spanish.  Mike: Any chance you'd be willing to share it?  Jenny: Yeah, absolutely. So, you can just google it. The Kentucky Center for Mathematics created it during COVID-19, actually, as a gift to the math community. And so, if you type in "Kentucky Center for Math" or "KCM Math Fact Fluency companion website," it will pop up.  Mike: That's awesome.  I want to ask you about one more thing before we close because we've really talked about the replacement for worksheets, the replacements for timed tests. But there is a piece of this where people think about "How do I know?" right? "How can I tell that kids have started to build this automaticity?" And you make a pretty strong case for interviewing students to understand their thinking. I'm wondering if you could just talk again about the why behind it, and a little bit about what it might look like.  Jenny: So, first of all, timed tests are definitely a mistake for many reasons. And one of the reasons—beyond the anxiety they cause—they're just very poor assessment tools. So, you can't see if the student is skip-counting or not, for example, for multiplication facts. You can't see if they're counting by 1s for the addition facts. You can't see that when they're doing the test, and you can't assume that they're working at a constant rate; that they're just solving one every, you know, couple of seconds, which is the way those tests are designed. Because I can spend a lot of time on one and less time on the other. So, they're just not, they're just not effective as an assessment tool.  So, if you flip that. Let's say they're playing the game we were talking about earlier, and you just want to know, "Can they use the pretend-to-10 strategy?" That's your assessment question of the day. Well, you can just wander around with a little checklist (chuckles), you know? "Yes, they can." "No, they can't." And so, a checklist can get at the strategies, and a checklist can also get at the facts, like, "How well are they doing with their facts?" So, once they do some of those games that are more open-ended, you can just observe and listen to them and get a feel for that. If they're playing Square Deal with whatever fact, you know. So, what happens is, you're like, "I wonder how they're doing with their 4s. We've really been working with their 4s a lot.' Well, you can play Square Deal or a number of other games where that day you're working on 4s. The [game] Fixed-Addend War can become Fixed-Factor War, and you put a 4 in the middle. So adaptable games and then you're just listening and watching.  And if you're not comfortable with that approach, then they can be playing those games, and you can have students channeling through where you do a little mini-interview. It only takes a few questions to get a feel for whether a student knows their facts. And you can really see who's automatic and who's still thinking. So, for example, a student who's working on their 4s, if you give them 4 times 7, they might say, "28." I call that automatic. Or they might, they might do 4 times 7, and they pause, and they're like, "28." Then I'm like, "How did you think about that?" And they're like, "Well, I doubled and doubled again." "Great." So, I can mark off that they are using a strategy, but they're not automatic yet. So that to me is a check, not a star. And if I ask, "How did you do it?" And they say, "Well, I skip-counted." Well then, I'm marking down they skip-counted. Because that means they need a strategy to help them move toward automaticity. Mike: I think what strikes me about that, too, is, when you understand where they're at on their journey to automaticity, you can actually do something about it as opposed to just looking at the quantity that you might see on a timed test. What's actionable about that? I'm not sure, but I think what you're suggesting really makes the case that I can do something with data that I observe or data that I hear in an interview or see in an interview.  Jenny: Absolutely. I mean this whole different positioning of the teacher as coaching the student toward their growth; helping them grow in their math proficiency, their math fluency. You see where they're at and then you're monitoring that in order to move them forward instead of just marking them right or wrong on a timed test. I think that's a great way to synthesize that.  Mike: Well, I have to say, it has been a pleasure talking with you. Thank you so much for joining us today. Jenny: Thank you so much. I am, again, thrilled to be invited and always happy to talk about this topic.  Mike: This podcast is brought to you by The Math Learning Center and the Maier Math Foundation, dedicated to inspiring and enabling all individuals to discover and develop their mathematical confidence and ability.

Episode Summary: In the United States and in many nations around the world, Christians make up a large percentage of the population. Yet despite our numbers, the broader culture is often shaped far more by other ideas, values, and worldviews than by a distinctly biblical vision of life.What is missing in Christian discipleship that keeps the Gospel from shaping not only personal faith, but the broader culture?This week, we talk with Bracey Fuenzalida of the Falls Church Fellows Program and one of the fellows, Isabelle Souza, to explore why believers are often absent from society's most influential institutions, and how deep discipleship can and should change that.From communism in Chile to secular universities in Brazil, Bracey and Belle share how worldview, vocation, and intentional Christian formation shape leaders for government, business, media, education, and the arts. We explore why escapist Christianity has caused many believers to retreat from public life, and why recovering an optimistic vision of redemption changes how Christians approach work, leadership, and culture. If every sphere of life belongs to Christ, then every vocation becomes sacred ground for discipleship, creativity, stewardship, and restoration. Join us!Who is Disciple Nations Alliance (DNA)? Since 1997, DNA's mission has been to equip followers of Jesus around the globe with a biblical worldview, empowering them to build flourishing families, communities, and nations.

Bucket hats. Low-rise jeans. Track suits. As you might've noticed, Y2K fashion is in right now. People say that fashion moves in 20-year cycles, and it turns out…it does! At least according to math. Host Flora Lichtman sits down with mathematician Emma Zajdela to figure out how she analyzed over 35,000 images of women's clothing dating all the way back to the 1860s to confirm this theory. Guest:  Dr. Emma Zajdela is a Franco-American mathematician and science diplomacy activist. Other episodes you may enjoy: The Many, Many Ways Tuberculosis Shaped Human Life Functional Fashion From An Artist And A Caterpillar Want SciFri gear? Check out our new shop! Transcripts for each episode are available within 1-3 days at sciencefriday.com. Subscribe to this podcast. Follow our show on Instagram, TikTok, Facebook, and Bluesky @scifri and sign up for our newsletters. Got a science question that's keeping you up at night? Call us: 877-4-SCIFRI Hosted by Simplecast, an AdsWizz company. See pcm.adswizz.com for information about our collection and use of personal data for advertising.

Itai Sadan is the CEO and Co-Founder of Duda, a professional website builder for agencies and SaaS Platforms. Under Itai's leadership, Duda rapidly expanded its professional website builder product suite with an emphasis on empowering web professionals with cutting-edge tools to help them create beautiful conversion-driving websites at scale. To date, Duda hosts more than a million active websites that have been built by over 23,000 customers globally. Itai's expertise in the online presence and web design space has been cited by USA Today, Forbes, Inc., HuffPost, Search Engine Land, and more. Itai has a BSc in Computer Science and Mathematics from the University of Ben Gurion in Israel. Fun Fact: “Duda” is a variation of “Dude,” which is the main character in his favorite movies of all time, The Big Lebowski. Links: https://www.duda.co If you're enjoying Entrepreneur's Enigma, please give me a review on the podcast directory of your choice. The show is on all of them and these reviews really help others find the show. iTunes: https://gmwd.us/itunes Podchaser: https://gmwd.us/podchaser TrueFans: https://gmwd.us/truefans Also, if you're getting value from the show and want to buy me a coffee, go to the show notes to get the link to get me a coffee to keep me awake, while I work on bringing you more great episodes to your ears. →  https://ko-fi.com/entrepreneursenigma Support me on TrueFans.fm → https://gmwd.us/truefans. Support The Show & Get Merch: https://shop.entrepreneursenigma.com Want to learn from a 15 year veteran? Check out the Podcast Mastery Community:https://www.skool.com/podcasting Follow Seth Online: Instagram: https://instagram.com/s3th.me LinkedIn: https://www.linkedin.com/in/sethmgoldstein/ Seth On Mastodon: https://indieweb.social/@phillycodehound The Marketing Junto Newsletter: https://MarketingJunto.com Leave The Show A Voicemail: https://podcastfeedback.com/entrepreneursenigma Learn more about your ad choices. Visit megaphone.fm/adchoices

SPONSORS: - Go to https://www.plaud.ai/curt to get a Plaud device today - Go to https://shortform.com/toe for a free trial and an exclusive $50 OFF on your annual subscription - I personally subscribe to The Economist. TOE listeners get 35% off the annual subscription. No other podcast has this! https://economist.com/TOE Harvey Friedman — the youngest professor in Stanford's history, founder of reverse mathematics, and the mathematician Kurt Gödel chose to sponsor his final paper — has spent 60 years on one question: can ordinary, finite math be trusted? His theorems show that even concrete statements involving nothing more exotic than rational numbers cannot be proved or refuted within ZFC. The foundations of mathematics, Friedman argues, are not settled bedrock but vertiginous — made more mysterious, not less, by his own work. FOLLOW: - Spotify: https://open.spotify.com/show/4gL14b92xAErofYQA7bU4e - Substack: https://curtjaimungal.substack.com/subscribe - Twitter: https://twitter.com/TOEwithCurt - Discord Invite: https://discord.com/invite/kBcnfNVwqs - Crypto: https://nowpayments.io/donation/TOE - PayPal: https://www.paypal.com/donate?hosted_button_id=XUBHNMFXUX5S4 TIMESTAMPS: - 00:00:00 - Gödel's Incompleteness Misinterpretations - 00:09:48 - Woodin vs. Friedman Foundations - 00:17:28 - Category Theory vs. Logic - 00:24:30 - Borel Determinacy Paradoxes - 00:31:23 - Embedded Maximality Principles - 00:41:18 - Tree(3) and Kruskal's Theorem - 00:47:40 - Finitism and Large Cardinals - 00:53:11 - Divine Consistency and Angels - 01:03:25 - Reverse Mathematics Origins - 01:11:14 - Constructive Logic and Intuitionism - 01:21:17 - Theology and AI Immortality LINKS MENTIONED: - Harvey Friedman Papers: https://u.osu.edu/friedman.8/foundational-adventures/publications/ - Harvey Friedman YouTube: https://www.youtube.com/@harveyfriedman4465/videos - Harvey Friedman Chess Club: https://cclchess.com/ - This Man Is About to Blow Up Mathematics [Article]: https://nautil.us/this-man-is-about-to-blow-up-mathematics-236446 - Harvey Lecture at OSU: https://youtu.be/NAGQD-bSXok - Most Abused Theorem in Math [TOE]: https://youtu.be/OH-ybecvuEo - John Norton [TOE]: https://youtu.be/Tghl6aS5A3M - Emily Riehl [TOE]: https://youtu.be/mTwvecBthpQ - What Is Infinity? [TOE]: https://youtu.be/rHtqGrtcB1w - Norman Wildberger [TOE]: https://youtu.be/l7LvgvunVCM - Wolfgang Smith [TOE]: https://youtu.be/lF4S_P_o-g0 - Scott Aaronson [TOE]: https://youtu.be/1ZpGCQoL2Rk - Consciousness Iceberg [TOE]: https://youtu.be/65yjqIDghEk - Edward Frenkel [TOE]: https://youtu.be/n_oPMcvHbAc - Elan Barenholtz [TOE]: https://youtu.be/A36OumnSrWY - Michael Levin [TOE]: https://youtu.be/c8iFtaltX-s - Godel Incompleteness Theorems: https://plato.stanford.edu/entries/goedel-incompleteness/ - Consistency of Axiom of Choice [Book]: https://archive.org/details/dli.ernet.469796/page/18/mode/2up - Independence of Continuum Hypothesis [Paper]: https://www.jstor.org/stable/71858 - Borel Determinacy [Paper]: https://www.jstor.org/stable/1971035 - Paris-Harrington Theorem: https://mathworld.wolfram.com/Paris-HarringtonTheorem.html - The God Letter: https://uncertaintist.wordpress.com/wp-content/uploads/2012/10/einstein-letter-gutkind-excerpts.pdf - Undecidable Propositions of Principia Mathematica [Book]: https://amazon.com/dp/0486669807?tag=toe08-20 - Categories for the Working Mathematician [Book]: https://amazon.com/dp/1441931236?tag=toe08-20 - On Necessary Use of Abstract Set Theory [Paper]: https://www.sciencedirect.com/science/article/pii/0001870881900219 - Borel Set: https://en.wikipedia.org/wiki/Borel_set More links: https://curtjaimungal.substack.com Guests do not pay to appear. #science Learn more about your ad choices. Visit megaphone.fm/adchoices Learn more about your ad choices. Visit megaphone.fm/adchoices

Episode: 1575 Fields and continua: A secret art of engineering.  Today, a look at a secret abstraction.

 Did you know that Albert Einstein's only home in the United States was in Princeton, New Jersey, where he lived for 22 years? At the Historical Society's museum, you can come face-to-face with Einstein's personal furniture and belongings, including his famous ink-stained desk. Explore the Historical Society's rare Einstein collections and discover his profound scientific, cultural, and humanitarian impact.Einstein's house at 112 Mercer Street in Princeton stands as a testament to his legacy. The Historical Society also offers “The Life of Albert Einstein,” an outreach program available to schools, libraries, senior centers, and clubs.Albert Einstein was born on March 14, 1879, in Ulm, Germany. Shortly after, his family moved to Munich, where he began his education at the Luitpold Gymnasium. The family later relocated to Italy, and Einstein continued his studies in Aarau, Switzerland. In 1896, he entered the Swiss Federal Polytechnic School in Zurich to train as a teacher in physics and mathematics. After earning his diploma in 1901 and acquiring Swiss citizenship, Einstein worked as a technical assistant at the Swiss Patent Office, where he produced much of his groundbreaking work in his spare time.Einstein received his doctorate in 1905 and soon began his academic career, holding positions in Berne, Zurich, and Prague. In 1914, he became Director of the Kaiser Wilhelm Physical Institute and Professor at the University of Berlin. He remained in Berlin until 1933, when he emigrated to America for political reasons and accepted a position as Professor of Theoretical Physics at Princeton. https://princetonhistory.org/discover-albert-einstein/http://www.yourlotandparcel.org

It's said that AI could soon be coming for the jobs of artists, lawyers, and software engineers. But it might now also be threatening a role at the height of academia – are pure mathematicians safe? Last month, a Stanford mathematician woke up to an email, claiming to have the solution to a problem he'd been working on for seven years - a fifty-year-old conundrum known as "Erdos Problem 1196". The answer had been generated in just 80 minutes - by ChatGPT. Since the end of last year, AI has been providing solutions to a number of novel maths problems, but Problem 1196 is the first to raise eyebrows within the mathematical community. In this episode, we talk to the mathematicians who've worked on Problem 1196 and find out what the rise of AI could mean for the future of their field. CONTRIBUTORS: Katie Steckles, Mathematician and communicator Jared Duker Lichtman, Szegő Assistant Professor of Mathematics at Stanford University Liam Price, amateur mathematician Credits:Presenter: Charlotte McDonald Producer: Josh McMinn Series producer: Tom Colls Production co-ordinator: Brenda Brown Sound mix: Dave O'Neill Editor: Richard Vadon

Misha Glenny and guests discuss the work of Maurits Cornelis Escher (1898-1972), the graphic artist and printmaker best known for his impossible buildings, paradoxical perspectives, and repeating geometric patterns. Born in Leeuwarden and trained as a printmaker, Escher visited the Alhambra in Granada and found inspiration in the tessellating shapes of Islamic art. Through his career he went on to create some of the most famous images of the twentieth century and has been called a one-man art movement. After his work was exhibited in a 1954 conference, Escher's work also caught the eye of mathematicians who appreciated his intuitive geometric precision. Escher was influenced by their work, and they were influenced by his – despite Escher never thinking he was actually very good at maths himself.   WithMarcus du Sautoy Simonyi Professor for the Public Understanding of Science, Professor of Mathematics and Fellow of New College, University of Oxford   Sarah Hart Professor Emerita of Mathematics and Fellow of Birkbeck, University of London, and Fellow of Gresham College   And   Judith Kadee Exhibitions project manager and public programme curator at Hague Historical Museum   Producer: Martha OwenReading list:Marcus du Sautoy, Blueprints: How Mathematics Shapes Creativity (Fourth Estate, 2025)Marcus du Sautoy, Finding Moonshine: A Mathematician's Journey Into Symmetry (Harper Perennial, 2009)Bruno Ernst, The Magic Mirror of M.C. Escher (Taschen, 2007)M.C. Escher, M.C. Escher: The Graphic Work (Taschen America Llc, 1992)Miranda Fellows, The Life and Works of Escher (Siena,1996)Frederico Giudiceandrea, Escher op reis or Escher's Journey (Publisher Wbooks, 2018, in Dutch)Sarah Hart, Once Upon a Prime: The Wondrous Connections Between Mathematics and Literature (Flatiron Books, 2023)Douglas Hofstadter, Gödel, Escher, Bach: An Eternal Golden Braid (first published 1979; Basic Books, 1999)Siobhan Roberts, King of Infinite Space: Donald Coxeter, The Man Who Saved Geometry (Profile Books, 2007)Claudio Salsi, Paolo Branca and Claudio Bartocci (eds.), M.C. Escher. Tra arte e scienza. Catalogo della mostra (24 Ore Cultura, 2025, in Italian)Doris Schattschneider, “The Mathematical Side of M.C. Escher” (Notices of the American Mathematical Society, Vol. 57, 6, 2010)Doris Schattschneider, M.C. Escher: Visions of Symmetry (Thames and Hudson Ltd, 2004)Wouter van Reek, Nadir & Zenith in the World of Escher (Leopold, 2019)In Our Time is a BBC Studios productionSpanning history, religion, culture, science and philosophy, In Our Time from BBC Radio 4 is essential listening for the intellectually curious. In each episode, host Misha Glenny and expert guests explore the characters, events and discoveries that have shaped our world.

Jonathan Gregg, assistant professor of education at Hillsdale College, delivers a lecture on instilling wonder in your students when teaching mathematics. This lecture was given at the Hoogland Center for Teacher Excellence seminar, “The Art of Teaching: Mathematics” in September 2025. The Hoogland Center for Teacher Excellence, an outreach of the Hillsdale College K-12 Education Office, offers educators the opportunity to deepen their content knowledge and refine their skills in the classroom.See omnystudio.com/listener for privacy information.