Podcasts about Mathematics

“I'm just not good at math.” Does that sound familiar?Join Theresa Alexander Inman, BCBA, and Dr. Aditya Nagrath, founder of Elephant Learning, to explore math anxiety, early math skills, and building your child's confidence. From counting snacks to shopping for groceries, discover everyday opportunities to make numbers meaningful.Three things you'll learn:Why reciting numbers and connecting them to quantities are different skills.How everyday activities can strengthen counting and early addition.How encouraging language and starting at your child's current skill level can support math confidence.About Dr. Nagrath: Dr. Nagrath helps students overcome mathematics anxiety.  Aditya is the creator and founder of Elephant Learning Mathematics Academy which helps students learn years of mathematics over the course of a few months using their system just 10 minutes per day, 3 days per week.With a PhD in Mathematics & Computer Sciences, Dr. Nagrath has spent over 30 years in industry as a software engineer, author, leader, speaker, and serial entrepreneur working on everything from atomic clocks to iOS and Android apps to Amazon's Kindle Fire. As the Founder of Elephant Head Software, which won the prestigious JD Edwards Innovation Award in 2015, he has also done software projects for Pearson, Verizon, Telefonica, JD Edwards (Oracle), and other billion dollar companies.Learn more from Dr. Nagrath at: https://www.elephantlearning.com/About Theresa & Parenting on the Spectrum:I'm Theresa Alexander Inman, a Board Certified Behavior Analyst and founder of Parenting on the Spectrum. I help parents of autistic children, particularly ages 2–7, feel more confident supporting their child's communication, daily living skills, and participation in family life.My work includes parent coaching, workshops, a podcast, and Behavior Detective Journals. I'm also developing digital courses and app-based support to make practical guidance available to more families. My approach centers on compassionate, play-based strategies and “connection before correction.”Still waiting for services? Your child's progress doesn't have to wait too. The Parenting on the Spectrum App gives you practical tools to support communication, track growth, and build everyday skills with greater confidence. No waitlist required. Start today: ⁠app.parentingonthespectrum.co⁠] Worried about your baby or toddler's communication? Pathways to Early Communication gives parents, caregivers, and professionals practical ways to strengthen the early skills that support communication and development. Simple strategies. Real stories. Guidance you can use in everyday moments. Find the book here: ⁠https://books2read.com/How-can-I-help-my-child-communicate⁠Gentle Guidance for the Hardest (and Best) Job You'll Ever DoAfter years working with autistic children and their families, I created these neurodiversity-affirming courses to give parents the practical guidance that's often missing after a diagnosis. Real strategies, printable worksheets, simple action steps. No judgment, no pressure. Explore the library and find the one that fits your family. Get them here: https://courses.parentingonthespectrum.co/Take the next step: Listen now, follow Parenting on the Spectrum on Spotify, and share this episode with a parent who has heard, “I can't do math!”#ParentingOnTheSpectrum #MathAnxiety #MathConfidence #EarlyMathSkills #ElephantLearning #LearningAtHome #ParentingTips

See It! Say It! Symbolize It! with Dr. Patrick Sullivan ROUNDING UP: SEASON 5 | EPISODE 3 Representations, language, and symbols are all important ingredients in building students' conceptual understanding and fluency. But how can we understand the relationship between those three ingredients? And what happens if we leave any one of them out of the recipe?  In this episode, we explore these questions with Dr. Patrick Sullivan, professor of mathematics at Missouri State University. BIOGRAPHY Dr. Patrick Sullivan teaches mathematics content and methods courses for future K–12 teachers at Missouri State University. His work focuses on helping teachers unleash children's mathematical brilliance, particularly in the areas of number, fractions, multiplication, and mathematical reasoning. He has published in the areas of elementary mathematics education, mathematical authority, technology-supported learning, and statistics education.  Dr. Sullivan is the author of See It, Say It, Symbolize It (Solution Tree), which challenges educators to rethink how mathematics is taught and learned. He is also the past president of the Missouri Council of Teachers of Mathematics and the founder and director of the Young Mathematics Teacher Academy, a program designed to encourage and mentor high school students interested in becoming mathematics teachers. Formerly, he served as a school leader and high school mathematics department chair. He has received the Presidential Award for Excellence in Mathematics and Science Teaching and the Missouri Teacher Educator of the Year Award. RESOURCES See It, Say It, Symbolize It book Unleashing Mathematical Brilliance website CHAPTERS 00:00 - Introduction • Building Mathematical Understanding 00:32 - Grandma Edna's Math Lesson 05:44 - See It, Say It, Symbolize It 09:21 - Concept Images & Fractions 14:07 - Language as the Connector 21:46 - Equal Exchange 26:02 - Making Sense of Symbols 32:51 - Connecting Math Across Grades 37:43 - Wrapping Up TRANSCRIPT Click here for a full episode transcript.

We are excited to bring you the latest episode of RABcasts, where we delve into the world of radiology, healthcare, and philanthropy. In this episode:Innovate, Advance, ProtectRAB Co-Founder A/Prof Suresh de Silva sits down for a one-on-one interview with our guest, Professor Catherine Jones, Specialist Cardiothoracic Radiologist - IMD Radiology Group.In this episode of the RABCAST series, we are honoured to host Professor Catherine Jones, Specialist Cardiothoracic Radiologist - IMD Radiology Group. Catherine holds a Bachelor of Science in Mathematics and Physics from the University of Queensland and completed her medical degree there in 2001. After surgical and radiological training in the United Kingdom and a subspecialty fellowship in cardiothoracic radiology at the University of British Columbia in Vancouver, Canada, she returned to Australia in 2011. She holds academic appointments as Associate Professor at the School of Public and Preventive Health at Monash University and as Adjunct Professor at the University of Sydney, and has published over 30 research articles in cardiac and thoracic imaging. Catherine has been instrumental in designing and implementing Australia's National Lung Cancer Screening Program, holds a B-Reader qualification from the National Institute of Occupational Safety and Health for pneumoconiosis detection, and in 2024 was awarded the Women in AI Asia Pacific Award in the AI for Health category.SummaryIn this RABcast episode, Professor Catherine Jones joins RAB Co-Founder A/Prof Suresh de Silva to discuss three of the most consequential developments in thoracic radiology today. Catherine shares how she helped design and implement Australia's National Lung Cancer Screening Program — a $250 million-plus investment that delivered more than 55,000 low-dose CT scans in its first seven months — and why early detection for vulnerable populations was central to the program from day one. She also examines the emerging silicosis crisis among tunnel construction workers, where six of ten workers screened on an initial assessment returned with disease on CT, and explains why occupational lung disease remains a global challenge. The conversation then turns to artificial intelligence in chest imaging, including how AI reduces cognitive burden for radiologists, the medico-legal questions around AI-generated findings, and the potential for algorithms to predict lung cancer years before it appears visually.TakeawaysNational Lung Screening Scale: Australia's National Lung Cancer Screening Program launched on 1 July 2024 and delivered over 55,000 low-dose CT scans within its first seven months, with participation — and cost — expected to grow year on year.Occupational Lung Disease Gap: Silicosis and other dust-related diseases remain underrecognised globally; in an initial Sydney tunnelling cohort, six of ten workers screened returned CT findings consistent with disease, highlighting urgent gaps in occupational health safeguards.AI as a Safety Net: Approximately 30–40% of chest X-rays in Australia are already read with AI assistance; Professor Jones argues the greatest benefit is reduced cognitive burden and end-of-day fatigue, not just improved detection rates.Medico-Legal Reality: As AI tools identify more incidental findings, radiologists must decide what enters the final report — clinical context and the individual patient's presentation remain the radiologist's responsibility, not the algorithm's.Predicting the Future: Emerging algorithms from institutions such as MIT can estimate both current lung cancer probability and the likelihood of development over the next six years from a single CT scan, moving radiology from anatomy-based assessment toward structure-plus-function reporting.Breath Test Biomarkers on the Horizon: Portable, low-cost breath-test biomarkers are expected to complement imaging in the near term, enabling earlier triage of high-risk individuals before they reach an imaging centre.Whether you're a radiologist, radiology trainee, occupational health clinician, or someone passionate about how imaging innovation can protect lives at a population level, this episode offers practical insight into screening program design, AI integration, and the future of thoracic radiology — while also giving you a chance to get to know the person behind the leadership, Professor Catherine Jones.

The math wars often focus on conceptual understanding versus traditional algorithms. Jon Orr and Yvette Lehman explore a deeper challenge: understanding the prerequisite mathematical ideas students need to access new learning.K-12 Math Leaders: Download our free Math Coherence Compass to help your teammates, system leaders, and educators create aligned instructional practices—without adding another initiative. https://makemathmoments.com/coherence-compass/Not sure what matters most when designing math improvement plans? Take this assessment and get a free customized report: https://makemathmoments.com/grow/ K-12 Math Leaders: Ready to design your math improvement plan with guidance, support and using structure? Partner with us to follow our 4 stage process. https://growyourmathprogram.com Looking to supplement your curriculum with problem-based lessons and units? Make Math Moments Problem Based Lessons & Units In this episode, Jon Orr and Yvette Lehman explore what changes when we stop debating how math should be taught and start examining the knowledge students need to access today's learning. Mathematics is cumulative, and those prerequisite ideas may be far more complex than the curriculum progression suggests. In this episode, you'll explore:Why the conceptual-versus-procedural debate may be missing the bigger issueWhat it means for mathematics to be “ruthlessly cumulative”Why grade-level curriculum progressions don't always reveal true prerequisite knowledgeHow specialized content knowledge helps teachers respond to student misconceptionsWhat multiplying fractions reveals about factoring, scaling, ratios, and proportional reasoningWhy high-leverage visual models can help uncover the mathematics beneath an algorithmHow teachers can build their mathematical knowledge one concept at a timeWhy strengthening teacher capacity needs to be a long-term system priorityChoose one concept you're teaching and look beneath the expectation: What does a student actually need to understand to access this idea? Try representing it with an area model, ratio table, or double number line and see what prerequisite ideas become visible.Show Notes PageLove the show? Text us your big takeaway!Are you wondering how to create K-12 math lesson plans that leave students so engaged they don't want to stop exploring your math curriculum when the bell rings? In their podcast, Kyle Pearce and Jon Orr—founders of MakeMathMoments.com—share over 19 years of experience inspiring K-12 math students, teachers, and district leaders with effective math activities, engaging resources, and innovative math leadership strategies. Through a 6-step framework, they guide K-12 classroom teachers and district math coordinators on building a strong, balanced math program that grows student and teacher impact. Each week, gain fresh ideas, feedback, and practical strategies to feel more confident and motivate students to see the beauty in math. Start making math moments today by listening to Episode #139: "Making Math Moments From Day 1 to 180.

Mathematics appears throughout the FE exam, even when the question isn't labeled “mathematics.” This episode reviews the mathematical habits and concepts that support engineering problem solving across multiple disciplines. Rather than memorizing disconnected equations, we'll focus on recognizing mathematical structureThank you for listening to Psychology Celebrity Pulse. This episode is for educational and entertainment purposes only and is not a substitute for professional mental health care or diagnosis. We do not diagnose public figures or provide individualized clinical advice. If you're struggling with mental health concerns, please reach out to a qualified licensed professional in your area. If you enjoyed today's discussion, please subscribe, rate, and review the show — it helps others discover it. You can also follow us for updates on new episodes. We'll be back soon with more psychological insights on culture and celebrity. Until then, stay curious and take care.”

Please enjoy the audio preview of Episode 39/2026 of Italy in English, one of We the Italians podcastsSubscribe here to access exclusive content https://www.facebook.com/WeTheItalians/support/Mathematics emerges as a hidden engine of Italy's economyItalian surgeons restore sight with world-first central retina autotransplantItaly leads Europe's rice innovation with 70% of new varietiesA €1 billion renaissance for 315 small Italian villagesItaly's tennis boom becomes a nationwide sporting and economic successItaly's digital transformation gains speed as businesses move ahead of the European averageHow climate change is redrawing the map of Italian foodItalian furniture looks to digital innovation for its next wave of global growthSDA Bocconi leads the world in MBA return on investmentItalian cancer research advances precision treatment from immune cells to genomic testingSmaller households and changing lifestyles reshape Italy's housing marketTrentodoc reaches new heights as the world's most awarded traditional-method sparkling wine

In this episode we are joined by Professor Catherine Attard. She joins Bec to unpack effective mathematics instruction in the classroom and share her recent research around the use and impact of generative AI on effective teacher practice.Catherine Attard is a Professor in Mathematics Education and Deputy Director of the Centre for Educational Research at Western Sydney University.  She is also serving as the current Director and Board Chairperson for the Australian Association of Mathematics Teachers (AAMT). You can find out more information about the work of AAMT and read their recent papers at https://aamt.edu.au

Crystal Orderson speaks to Andhika Mahabeer about winning the National Teaching Award for Excellence in Teaching Mathematics and inspiring a love for maths among young learners. Presenter John Maytham is an actor and author-turned-talk radio veteran and seasoned journalist. His show serves a round-up of local and international news coupled with the latest in business, sport, traffic and weather. The host’s eclectic interests mean the program often surprises the audience with intriguing book reviews and inspiring interviews profiling artists. A daily highlight is Rapid Fire, just after 5:30pm. CapeTalk fans call in, to stump the presenter with their general knowledge questions. Another firm favourite is the humorous Thursday crossing with award-winning journalist Rebecca Davis, called “Plan B”. Thank you for listening to a podcast from Afternoon Drive with John Maytham Listen live on Primedia+ weekdays from 15:00 and 18:00 (SA Time) to Afternoon Drive with John Maytham broadcast on CapeTalk https://buff.ly/NnFM3Nk For more from the show go to https://buff.ly/BSFy4Cn or find all the catch-up podcasts here https://buff.ly/n8nWt4x Subscribe to the CapeTalk Daily and Weekly Newsletters https://buff.ly/sbvVZD5 Follow us on social media: CapeTalk on Facebook: https://www.facebook.com/CapeTalk CapeTalk on TikTok: https://www.tiktok.com/@capetalk CapeTalk on Instagram: https://www.instagram.com/ CapeTalk on X: https://x.com/CapeTalk CapeTalk on YouTube: https://www.youtube.com/@CapeTalk567 See omnystudio.com/listener for privacy information.

"Companies want to know the real person, the human behind those applications." AI, technological innovation, and economic change are transforming the workplace—and creating new challenges and opportunities for professionals at every stage of their careers. So, what skills will be most valuable? Where are the growth opportunities? And how can you stay competitive in an evolving job market? In this special episode of Inside the GMAT, GMAC Deputy Editor Matt Kefford speaks with Sadia Cuthbert, Head of Cambridge Judge Careers at Cambridge Judge Business School, and Marcel Kalis, Director of the Career Development Center at ESMT Berlin, during the GMAC Virtual MBA + Master's Tour Europe. Together, they explore the trends shaping the future of work, including the impact of AI on hiring and established career paths, changes in the global job market, and the growing importance of skills like curiosity, communication, adaptability, and relationship-building. They also discuss where new opportunities may emerge, what candidates should understand about recruiting in Europe, and how business school students can make the most of career services, internships, company connections, and other experiences beyond the classroom. Plus, Sadia and Marcel share practical advice you can put into action now as you prepare for whatever comes next in your career. This special episode is brought to you by Cambridge Judge Business School and ESMT Berlin. About Our Guests: Sadia Cuthbert is Director of Careers at Cambridge Judge Business School, where she leads a dedicated team delivering a comprehensive programme of career development, skills training, and recruitment opportunities for experienced postgraduate students across the MBA, Executive MBA, and MFin programmes. Sadia began her career as an impact consultant working across South Asia, Mexico, and the Philippines, before transitioning into equity markets research at Bear Stearns and subsequently into equity sales. She spent 12 years in the City, London as an equity stockbroker specialising in emerging markets, at HSBC and Merrill Lynch. Deeply passionate about economics, development, and finance, Sadia brings a rare combination of frontline commercial experience and a genuine commitment to social impact to her work at Cambridge Judge. She is an active mentor and former board member of the Centre for Global Equality, an organisation focused on inclusive innovation. Sadia holds a Masters in Econometrics and Mathematical Economics from the London School of Economics and an undergraduate degree in Economics and Mathematics from the University of Sussex. Marcel Kalis is Director of the Career Development Center at ESMT Berlin, where he has led career services since 2006. He built the function from the ground up and designs and maintains career-development programming for Full-time, Part-time, Global Online, MSc, and Executive MBA students. His work spans career coaching, job-search strategy, skills-development teaching, and the selection of speakers, lecturers, and coaches. Marcel develops networking opportunities that connect students with corporate partners through workshops, company visits, and events, while building relationships with ESMT founding companies, startups, NGOs, and other external partners. Matt Kefford is Deputy Editor for GMAC.com, responsible for writing, editing, and producing multimedia content as well as driving content strategy for the website. A business education journalist for 5+ years, he regularly features as a judge on education industry awards and speaks at industry events. Previously, Matt has written and produced content for national news organizations including The Sunday Times, i News, and Sky News, as well as a number of regional titles. Matt has a B.A. in History from the University of Leeds and an M.A. in Journalism from the University of Sheffield. He is also a gold standard accredited journalist with the National Council for the Training of Journalists. Helpful Resources: Cambridge Judge Business School: https://www.jbs.cam.ac.uk/ ESMT Berlin: https://esmt.berlin/ GMAC Tours: https://www.mba.com/connect-with-schools/gmac-tours Key Takeaways: AI, technological innovation, and economic change are reshaping careers. Candidates need to be prepared for established roles and industries to evolve rather than assuming traditional career paths will remain unchanged. Growth often follows change. Areas including technology, energy, health, mobility, cybersecurity, and emerging businesses may create new opportunities as organizations respond to new challenges. Human skills remain critical. Curiosity, communication, adaptability, problem-solving, and the ability to connect with people can help candidates stand out in an increasingly AI-enabled hiring environment. Staying competitive requires being proactive. Networking, learning about industries firsthand, exploring unfamiliar companies, and building relationships can be as important as submitting applications. Business school is more than the classroom. Internships, company visits, experiential projects, exchanges, career services, and peer networks can help students develop the skills and exposure they need to navigate what comes next. Chapters: 01:14 Overview of the GMAC Virtual MBA and Masters Tour 03:17 Key Factors Shaping the Business World Today 05:29 Major Trends and Developments in the Changing World 08:09 Current Job Market and Opportunities 10:11 Challenges and Misconceptions in the Job Market 12:09 The Role of Networking and Personal Branding 18:15 Future Industry Sectors and Long-Term Opportunities 19:14 Predictions for the Next 5 to 10 Years 23:39 Practical Steps to Enhance Career Prospects 28:44 Final Advice for Building a Future-Ready Career

There has been a lot of doom and gloom combined with excitement, if that is possible, about AI in the science news lately. Sabine and I tried to deconstruct the hype associated with the highly touted Open AI solution of one of the Millennium Problems in Mathematics, as well as explore the real concerns and imaginary concerns associated with both the recent Open AI agent hacking of Huggy Face, and the blog post by the CEO of Anthopic arguing for a pause in AI development because of the potential for disaster—a statement endorsed by both Elon Musk and Sam Altman. As usual, things are neither as bad, nor as good as they might seem. We also tackled two other stories of interest. A single data point might signal the discovery of particle dark matter in an underground detector! Sabine and I come at this from different perspectives—she has always been suspicious of the claimed need for dark matter, and I have not only explored and proposed a number of the prime candidates, but I also helped propose and promote the kind of technologies that led to LZ/LUX, the collaboration making the current announcement. Nevertheless both Sabine and I agree that it is premature to celebrate. And while Sabine won't bet, I am betting that this single point will not be substantiated when more data comes in. Stay tuned. Finally we discuss a sad development—Scientific Paper Mills. Apparently you can buy your way to a first authorship, or just an authorship, on a scientific paper that can eventually be published somewhere, even if the results might not be completely kosher. While this is a disturbing new possibility, it seems like it is just affecting science at the margins. We need to try and stamp it out, but it is not undermining the bulk of scientific research.In any case, as they used to say on a famous TV show, after all the AI world-ending hype, happy to say: See you next time.. if there is a next time!As always, an ad-free video version of this podcast is also available to paid Critical Mass subscribers. Your subscriptions support the non-profit Origins Project Foundation, which produces the podcast. The audio version is available free on the Critical Mass site and on all podcast sites, and the video version will also be available on the Origins Project YouTube. Get full access to Critical Mass at lawrencekrauss.substack.com/subscribe

What if one of the most important skills we can teach isn't academics—but curiosity, kindness, and how to get back to center? I sat down with Hamsa Yaqo and Paul Spiegelman, co-founders of Kintsugi Village, a unique early childhood learning community in Detroit focused on curiosity, creativity, life skills, and community. 3 Takeaways: 1. Curiosity is a superpower. The best learning starts with questions. 2. Life skills matter as much as academics. Kindness, communication, and emotional intelligence are foundational skills. 3. Everyone needs a calm corner. The ability to pause, reset, and recalibrate is a lifelong advantage. In a world moving faster than ever, getting back to center may be one of the most important skills we can develop. We dive into that and much more in my conversation with Hamsa and Paul.   --- Hamsa Yaqo is a purpose-driven business leader and co-founder of Kintsugi Village, a community-centered hub in Detroit focused on early childhood education, the arts, food, and connection. With a background spanning higher education, tech, and mission-driven organizations, she is passionate about building strong teams, thoughtful processes, and meaningful impact. Hamsa holds a degree in Mathematics from Wayne State University and an MBA from Walsh College. Outside of work, Hamsa loves cooking, playing Scrabble, exploring cities like a local, and spending time with her family. Paul Spiegelman is the co-founder of Kintsugi Village. He is also the founder of BerylHealth, The Beryl Institute, and the Small Giants Community. He is a New York Times best-selling author and has been honored with the Ernst & Young Entrepreneur of the Year award. His thoughts have been featured in the Wall Street Journal, Forbes, and Inc. Magazine. Paul practiced law for two years prior to founding BerylHealth. He holds a bachelor's degree in history from UCLA and a law degree from Southwestern University. In his spare time, he enjoys spending time with family, playing tennis and traveling." Connect with Jon Dwoskin: Twitter: @jdwoskin Facebook: https://www.facebook.com/jonathan.dwoskin Instagram: https://www.instagram.com/thejondwoskinexperience/ Website: https://jondwoskin.com/LinkedIn: https://www.linkedin.com/in/jondwoskin/ Email: jon@jondwoskin.com Get Jon's Book: The Think Big Movement: Grow your business big. Very Big! Connect with Hamsa and Paul: Website: www.kintsugivillage.org  Instagram: https://www.instagram.com/kintsugivillagedetroit/  LinkedIn: https://www.linkedin.com/company/kintsugi-village-detroit    *E - explicit language may be used in this podcast.

The 2026 WNBA Playoffs are approaching, and we have more scenarios to consider as the regular season heads into its final games. Marisa Ingemi and Richard Cohen are here to break it all down and more. HerHoopStats.com: Unlocking better insight about the women's game.The Her Hoop Stats Newsletter: https://herhoopstats.substack.comSee Privacy Policy at https://art19.com/privacy and California Privacy Notice at https://art19.com/privacy#do-not-sell-my-info.

With thousands of colleges and universities at home, few American students ever consider studying abroad. Amy and Mike invited independent education consultant Alan Sheptin to explain why he says the world is your oyster when you're willing to explore international admissions. What are five things you will learn in this episode? What are the benefits and disadvantages of studying outside the U.S.? What is the cost of a non-US education? Can you decide what you want to study, or do you have to declare a major before entering school? What kind of student thrives when studying abroad? How does the application process differ from the United States? MEET OUR GUEST Alan Sheptin is the owner of Sheptin Tutoring Group (STG). He has been a professional member of IECA since 2017 and became a Certified Educational Planner in 2020. He earned a BA in Computer Mathematics from the University of Pennsylvania, an MBA in Finance from Fordham University, and a Certificate in College Consulting from UCLA. Prior to establishing his company in 2007, Alan was an Assistant Vice President and Actuary with AXA, specializing in actuarial product development and management. He attained Associateship in the Society of Actuaries and has completed several exams toward Fellowship. In addition to his college consulting expertise, Alan is a respected Mathematics tutor, successfully working with students at all levels of Math. He is most sought out for his expertise in Algebra II, Precalculus, and Calculus. He teaches both Precalculus and Calculus at Iona College. He has also undertaken long-term consulting assignments teaching BC Calculus and Precalculus at John Jay and Fox Lane High Schools in Westchester County. Alan first became interested in college admissions when he was the NYC Secondary School Chairman of Alumni Interviewing for the University of Pennsylvania, training alumni interviewers and serving as a liaison between Penn's admissions office, interviewers, and prospective freshmen. He has leveraged this expertise, plus his extensive knowledge of US and international colleges and universities, to counsel students on the optimal admissions strategy. To date, he has visited over 130 colleges and universities in seven countries. Alan's "alumni" are present at all of the top 50 US universities and colleges, as well as at universities in the UK and Canada. Additionally, Alan has been preparing students for the SAT and ACT examinations for 30 years. He is widely respected for his in-depth expertise in maximizing test scores, as well as his ability to make intrinsically difficult concepts in all areas of Mathematics (from pre-Algebra through Calculus) easier to grasp. Many of Alan's students have continued to work with him in college classes and as they prep for the GRE and GMAT exams. He and his outstanding team of 35 teachers and tutors can offer support in any academic area in middle or high school. He constantly revamps materials and lessons to ensure students receive the most up-to-date exam information. Sheptin Tutoring Group maintains offices in Chappaqua, New York, and New York City. Its clients come from as close as the tri-state area to as far away as China, the United Kingdom, and Nigeria.  Alan previously appeared on the podcast in episode 289 for an IEC Profile.  Alan can be reached at 914-232-3743 or alan@sheptin.com. LINKS Why Not Consider a Degree Outside of the US? Degrees from the Start-Up Nation: A Guide to Israeli Universities – IECA RELATED EPISODES ATTENDING UNIVERSITY IN EUROPE STOP MAKING $EN$E: THE INTERNATIONAL STUDENT PROBLEM  ABOUT THIS PODCAST Tests and the Rest is THE college admissions industry podcast. Explore all of our episodes on the show page. ABOUT YOUR HOSTS Mike Bergin is the president of Chariot Learning and founder of TestBright, Roots2Words, and College Eagle. Amy Seeley is the president of Seeley Test Pros and LEAP. If you're interested in working with Mike and/or Amy for test preparation, training, or consulting, get in touch through our contact page.  

For centuries, we've treated mathematics, logic, and analytical reasoning as some of the highest expressions of human intelligence.Then AI came along, and started automating them first.In this episode, I argue that this isn't a coincidence. Mathematics and computer programming are unusually closed, symbolic, rules-based forms of thought. They can be extraordinarily powerful, but the very properties that make them precise also make them particularly amenable to machines.Meanwhile, many of the things we traditionally dismiss as “soft” such as intuition, abstraction, analogy, deciding what matters, navigating complexity, and connecting ideas across domains, must represent a deeper kind of intelligence. And AI proves it. In this episode:• Why math and coding are being automated so quickly• Why symbolic reasoning is fundamentally different from navigating complexity• What AI reveals about IQ and analytical intelligence• Why the mathematician and programmer of the future may need a completely different skill set• What humans should be doing when machines can manipulate the symbols for usAI didn't just automate some of our smartest work. It forces us to reconsider what “smart” meant in the first place.Support the showIf you enjoyed this episode and want to go deeper, come find me over at dekyon.io/seanmcclure/nontrivialWith a premium membership you get the full NonTrivial learning experience: interactive visualizations of the key concepts, a study space to learn the fundamentals behind each episode, and an "Ask an Episode" feature where you can dialogue with an AI about the details and start connecting ideas across the whole show. Even use AI to convert my insights into usable techniques. There's also personal note saving, full episode transcripts, watch-where-you-left-off, new episode alerts, and a community forum for asking questions. It's where the episode stops being something you just listened to and becomes something you truly understand.

In this episode of Room to Grow, Joanie and Curtis learn about a new publication: Decluttering Mathematics: 5 Fundamental Understandings That Unleash Meaningful Student Thinking Grades 6-12. Three of the book's authors join us to share how that when secondary mathematics instruction is cluttered with disconnected procedures and a focus on computation without meaning, students are essential being handed a huge pile of tiny puzzle pieces without ever building or even seeing the picture on the puzzle box. Ted, Scott, and April call out the clutter and describe how educators can connect the disconnected and focus on what's important to allow students the opportunity to think, reason, and make sense of mathematics. In the conversation, the authors touch of the five fundamental understandings in the book: Measurement, Comparison, Proportional Relationships, Equivalence, and Graphical Representations, and provide examples of how and why attention to student thinking leads to better teaching and better student learning. Curtis and Joanie appreciated the approach of having students “think first; compute only if necessary,” and the idea of retiring some common topics to the “math attic.” The authors share their grounding the book in ways of thinking, ways of approaching, and ways of doing mathematics, all in the service of doing bigger things in math class.  Resources mentioned in this episode and ways to learn more:·       Order the book HERE or HERE or HERE·       Ted's website https://www.coequalmath.com/home and LinkedIn page https://www.linkedin.com/in/tedcoe/ ·       April's LinkedIn page https://www.linkedin.com/in/aprildstrom/ , BTC info page https://www.buildingthinkingclassrooms.com/team/april-strom ·       Scott's website https://www.scottadamsonmath.com/ and LinkedIn page https://www.linkedin.com/in/scott-adamson-465202327/ ·       James' website https://jamestantonmath.com/ and LinkedIn page https://www.linkedin.com/in/james-tanton-9920bb58/   Did you enjoy this episode of Room to Grow? Please leave a review and share the episode with others. Share your feedback, comments, and suggestions for future episode topics by emailing roomtogrowmath@gmail.com . Be sure to connect with your hosts on Instagram: @JoanieFun and @cbmathguy.     

What if transformation begins when the pain of staying the same becomes greater than the fear of change? Irene Tananyan shares how a personal crisis shifted her from a world rooted in maths and economics to one embracing energy, spirituality and the unseen dimensions of life. She explores readiness, collaboration, synchronicity, soul purpose and the energetic imprint we carry from birth. Irene sees life as an expanding field of infinite possibilities, shaped by conscious choice, gratitude, love and contribution. In this thought-provoking conversation, discover how resistance can become readiness and open the door to receiving transformation, fulfilment, purpose and the beauty of life.   KEY TAKEAWAY "People are ready to receive when their resistance to achieve their goal becomes bigger than the fear of going through transformation." ABOUT THE GUEST – IRENE TANANYAN Irene Tananyan is a credentialed Professional Certified Coach, Transformational Life Coach, and Alternative Healing Practitioner with over a decade of experience. She began her career in Mathematics and Economics — and along the way, life led her to discover her true calling: helping people reduce stress and navigate overwhelming life situations with clarity, resilience, and inner peace. Today she works with clients from all walks of life and also shares her passion for personal development and spiritual growth through community presentations and humanitarian outreach."   CONNECT WITH IRENE https://www.arinahealing.com    ABOUT THE HOST - AMY ROWLINSON Amy is a purpose and fulfilment coach, author, podcast strategist and mastermind host who empowers purpose-driven leaders to boost productivity, engagement and meaning in life and work. Through transformational conversations, Amy helps individuals overcome overwhelm and live with clarity, building living legacies along the way.   WORK WITH AMY If you're interested in how purpose can help you and/or your business, please book a free 30 min call via https://calendly.com/amyrowlinson/call    KEEP IN TOUCH WITH AMY Sign up for the weekly Friday Focus - https://www.amyrowlinson.com/subscribe-to-weekly-newsletter    CONNECT WITH AMY https://linktr.ee/AmyRowlinson    BUY AMY'S BOOK (Finalist in the 2025 Business Book Awards) * Focus on Why by Amy Rowlinson with George F. Kerr – https://amzn.eu/d/6W02HWu      HOSTED BY AMY ROWLINSON   DISCLAIMER The views, thoughts and opinions expressed in this podcast belong solely to the host and guest speakers. Please conduct your own due diligence.  *As an Amazon Associate, Amy earns from qualifying purchases.

This lecture was recorded by Alain Goriely on the 15th of September 2026Alain Goriely is a mathematician with broad interests in mathematical methods, mechanics, sciences, and engineering. He is well known for his contributions to dynamical systems, mathematical biology, as well as fundamental and applied mechanics. He is particularly well known for the development of a mathematical theory of biological growth, culminating with his seminal monograph The Mathematics on Mechanics of Biological Growth (2017).He received his PhD from the University of Brussels in 1994 where he became a lecturer. In 1996, he joined the University of Arizona where he established a research group within the renowned Program of Applied Mathematics. In 2010, he joined the University of Oxford as the inaugural Statutory Professor of Mathematical Modelling and fellow of St. Catherine's College. He is currently the Director of the Oxford Centre for Industrial and Applied Mathematics.In addition, Alain has enjoyed scientific outreach based on problems connected to his research, including tendril perversion in plants, twining plants, umbilical cord knotting, whip cracking, the shape of seashells, brain modelling, and he is the author of a Very Short Introduction to Applied Mathematics (2017). His work has been recognized by a Sloan Fellowship, a Royal Society Wolfson Research Award, the Cozzarelli Prize from the National Academy of Sciences and the Engineering Medal from the Society of Engineering Sciences. He was elected as a Fellow of the Royal Society in 2022.The transcript of the lecture is available from the Gresham College website: https://www.gresham.ac.uk/watch-now/cracking-whipGresham College has offered free public lectures for over 400 years, thanks to the generosity of our supporters. There are currently over 2,500 lectures free to access. We believe that everyone should have the opportunity to learn from some of the greatest minds. To support Gresham College's mission, please consider making a donation: https://www.gresham.ac.uk/get-involved/support-us/make-donation/donate-today Website:  https://gresham.ac.ukX: https://x.com/GreshamCollegeFacebook: https://facebook.com/greshamcollegeInstagram: https://instagram.com/greshamcollegeBluesky: https://bsky.app/profile/greshamcollege.bsky.social TikTok: https://www.tiktok.com/@greshamcollegeSupport Us: https://www.gresham.ac.uk/get-involved/support-us/make-donation/donate-todaySupport the show

This episode is produced in collaboration with WFPICCS (the World Federation of Pediatric Intensive and Critical Care Societies) showcasing the talks you can look forward to at WFPICCS 2026 in Melbourne, September 27–30. Dr. Sarah Seaton is an Associate Professor in Perinatal and Paediatric Research at the University of Leicester in the UK. She earned her undergraduate degree in Mathematics from the University of Wales, followed by a MSc in Medical Statistics and a PhD at Leicester. Dr. Seaton serves as the co-principal investigator of the Paediatric Intensive Care Audit Network (PICANet), an international audit of all paediatric intensive care delivered in the UK and Ireland. Prior to PICANet, she held three fellowships funded by the National Institute for Health Research, including an Advanced Fellowship in 2024 which aimed to investigate the transition from neonatal to paediatric care.Reference:https://www.picanet.org.uk/Send us Fan MailSupport the showHow to support PedsCrit:Please complete our Listener Feedback SurveyPlease rate and review on Spotify and Apple Podcasts!Donations are appreciated @PedsCrit on Venmo , you can also support us by becoming a patron on Patreon. 100% of funds go to supporting the show.Please remember that all content during this episode is intended for educational and entertainment purposes only. It should not be used as medical advice. The views expressed during this episode by hosts and our guests are their own and do not reflect the official position of their institutions. If you have any comments, suggestions, or feedback-you can email us at pedscritpodcast@gmail.com.  You can also check out our website at http://www.pedscrit.com. Thank you for listening to this episode of PedsCrit!

Two educators, their aunt Audrey, and the story of her life and art they are helping others discover. About Steve Weatherel Steve has worked in several international schools in the last forty years and in many different roles. These days he's living in the Netherlands trying to make it as a writer, with projects such as Intense Colours, the blog about his aunt, the artist Audrey Amiss. Instagram: @audrey_amiss  About Kate Weatherell Kate is a Mathematics teacher in London. After a long career in food as a chef, caterer, author and food stylist, she made the move into teaching. Resources intensecolours.substack.com audreyamiss.com https://wellcomecollection.org/stories/audrey-and-her-family  https://www.youtube.com/watch?v=N7IIyKh4lpY Typist Artist Pirate King Film  John Mikton on Social Media LinkedIn: https://www.linkedin.com/in/jmikton/ Twitter: https://twitter.com/jmikton Web: beyonddigital.org Dan Taylor on social media: LinkedIn: https://www.linkedin.com/in/appsevents  Twitter: https://twitter.com/appdkt  Web: www.appsedu.com  Listen on: iTunes / Podbean / Stitcher / Spotify / YouTube Do a full security audit of your Workspace for free at https://workspaceaudit.com Would you like to have a free 1 month trial of the new Google Workspace Plus (formerly G Suite Enterprise for Education)? Just fill out this form and we'll get you set up bit.ly/GSEFE-Trial

Donald Goldfarb is the Avanessians Professor in the IEOR Department at Columbia University. He is internationally recognized for the development and analysis of efficient and practical algorithms for solving various classes of optimization problems, including the BFGS quasi-Newton method for unconstrained optimization, steepest-edge simplex algorithms for linear programming, and the Goldfarb-Idnani algorithm for convex quadratic programming. Don has also developed highly cited methods for image de-noising, compressed sensing, matrix rank minimization, and robust portfolio selection. In addition, he has developed simplex and combinatorial algorithms for network flow problems, interior-point methods for linear, quadratic and conic programming, and alternating linearization methods for sums of convex functions. He is a Member of the National Academy of Engineering, a recipient of the INFORMS John Von Neumann Theory Prize for Fundamental, Sustained Contributions to Theory in Operations Research and the Management Sciences, the Khachiyan Prize for Life-time Accomplishments in Optimization, and 1995 Prize for Research Excellence in the Interface between Operations Research and Computer Science. He is a SIAM Fellow, and was cited in 2014 by Thomson Reuters as one of World's Most Influential Scientific Minds (specifically, among the top 1% most cited researchers in Mathematics between 2002 and 2012). Don has served as an editor-in-chief of Mathematical Programming, an editor of the SIAM Journal on Numerical Analysis and the SIAM Journal on Optimization, an associate editor of Mathematics of Computation, Operations Research and Mathematical Programming Computation, and is an editorial board member of Foundation and Trends in Optimization.

Episode: 1631 Learning to subtract 49 from 62: more than meets the eye.  Today, what is 49 from 62?

In early September, OpenAI announced it had solved a major mathematics problem that has stumped humans for nearly a century. The news left mathematicians reeling, and many expressed concern over what will be left for humans as AI becomes ever more adept at unravelling complex problems. Now 25 recipients of the Fields medal – often called the Nobel prize for maths – have signed an open letter expressing their fears of a ‘severe misalignment' between AI companies and their field. To find out how AI is likely to upend maths – and how mathematicians might respond – Ian Sample speaks to Colva Roney-Dougal, professor of pure mathematics at the University of St Andrews. Help support our independent journalism at theguardian.com/sciencepod

In this episode, Katherine Forrest and Scott Caravello break down how an AI system took on one of the hardest unsolved problems in mathematics. They explain what recursive self-improvement is, how it works, and why it sits at the center of the conversation about superintelligence. ## Learn More About Paul, Weiss's Artificial Intelligence practice: https://www.paulweiss.com/industries/artificial-intelligence

Organizing Board Space to Support Reasoning & Connection, Part 2, with Dr. Tutita Casa & Katherine Mack ROUNDING UP: SEASON 5 | EPISODE 2 Repositioning the classroom board as a shared space for teachers and students can create opportunities for deeper student learning and have a subtle but significant impact on students' math identities. In part 2 of this two-part series, Mike talks with Tutita Casa and Katherine Mack from the University of Connecticut about ways teachers can use the board to reflect student reasoning, draw attention to key ideas, and close a lesson without funneling students to a correct answer.   BIOGRAPHIES Tutita Casa is an associate professor of elementary mathematics education at the Neag School of Education at the University of Connecticut. Her work is aimed at supporting teachers to empower students to grapple with the mathematics and engage with the discipline in ways similar to how mathematicians go about their work. Katherine Mack is a doctoral student in curriculum and instruction at the University of Connecticut. She examines how elementary teachers can facilitate mathematical discourse by repositioning the instructional board as a space that centers student reasoning and makes it visible.  RESOURCES Listen to part 1 of the conversation with Tutita and Katherine. Listen to Tutita's last appearance on the podcast. TRANSCRIPT Click here for a full episode transcript. CHAPTERS 00:00 - Introduction • Exploring Classroom Communication & Board Dynamics 02:35 - The Importance of Anchoring Tasks in Mathematics 04:52 - Understanding Shared Attention & Student Engagement 08:35 - The Role of Bookending in Classroom Discussions 11:31 - Validating Student Ideas & Understanding 13:39 - Creating a Safe Space for Incorrect Ideas 18:26 - Practical Steps for Teachers to Enhance Board Use 22:17 - Wrapping Up • Share Your Thoughts

New York City Public Schools announced one of the most restrictive AI policies in the country, and LAUSD followed with a quiet moratorium of its own. For any company selling AI-powered tools into K-12, this isn't background noise anymore. It's a sign that the ground rules are being rewritten in real time, and positioning needs to keep up.At the same time, October is arriving with a full plate. Conference season, award deadlines, and the usual run of thematic days are all stacking on top of each other. It's worth asking a harder question before the calendar takes over: which of these deadlines actually matter, and which ones are just habit?This field notes episode covers what's moving fast right now, the AI policy shifts landing in New York City and Los Angeles, the conference and award deadlines worth prioritizing this fall, and what actually earns a response on LinkedIn.What You'll Learn1️⃣ Why NYC and LAUSD's AI policies matter beyond their own districtsNew York's policy sounds like a blanket ban, but it's more nuanced than the headlines suggest. Teachers can still use AI to plan lessons, translate, and communicate with families, they just can't use it to grade, decide who graduates, or counsel a student in crisis. LAUSD's own moratorium on student use of generative AI arrived quietly enough that it reportedly surprised its own school board. When the country's largest districts move first, others tend to follow.2️⃣ What's worth prioritizing on a packed fall conference and awards calendarDA Awards entries close October 1st, EdTech Week runs October 13th - 14th, FETC's prices increase October 30th, and SXSW EDU's Launch competition deadline is November 1st, on top of national conferences like NCTM in Denver and CGCS in Boston. This episode breaks down which deadlines are worth building a strategy around, rather than trying to hit everything.3️⃣ What new findings say about getting a response to a LinkedIn connection requestRichard Vanderblom's poll and analysis found that a "helpful" message, one that references something specific about the person's post, is what actually gets a response. It's a small shift, but one that changes how outreach on the platform should be built.Why It MattersEducation marketers are heading into one of the busiest stretches of the year with less room for error than usual. Districts are rewriting AI policy in real time, marketing calendars are more crowded than usual, and the platforms relied on for organic reach keep changing what earns attention. None of this is a reason to freeze. It's a reason to get more deliberate, know which policy shifts touch a given product, spend fall's limited time and budget on the deadlines that matter most, and build outreach around what's genuinely earning a response right now.Resources Mentioned in this Episode:Operation Bluebird Launches Twitter.nowA new social platform reviving the Twitter name and bird logo, from a startup co-founded by former Twitter trademark counsel Stephen Coates, and referenced as the latest in a long line of platforms trying to pull people away from X.LinkedIn Adds AI-Powered Event HighlightsCovers a new feature that automatically turns live event recordings into short-form clips and chapters, discussed as a reason to treat every livestream as an ongoing content engine.Metricool's 2026 State of AI in Social Media StudyThe report showing three in four social media professionals use AI daily, while only about 12% work under a formal company AI policy.Richard Vanderblom's LinkedIn Post on Connection RequestsA carousel and poll on what actually gets a response when reaching out on LinkedIn, with the finding that "helpful" outreach outperforms a generic pitch.The Marketing Millennials: The 4 Landing Pages You NeedDaniel Murray's article on the "Core Four" landing page framework and the "Hail Mary mistake" of sending cold traffic straight to a demo page.Leoni Consulting Group's Free Education Marketing Planner (reach out via LinkedIn or the contact page)Covers all of the October dates referenced in this episode, with the 2027 edition launching soon.AASPA Annual ConferenceThe American Association of School Personnel Administrators' conference, October 12 - 15 in Austin, TXEdTech WeekNYC's edtech festival, including the Shark Tank pitch competition and an invite-only CEO Summit.ALAS National Summit on EducationThe Association of Latino Administrators and Superintendents' national summit, October 15 - 17 in Denver, CO.CGCS 70th Annual Fall ConferenceThe Council of the Great City Schools' conference for district leaders, October 21 - 25 in Boston, MA.NCTM 2026 Annual Meeting & ExpositionThe National Council of Teachers of Mathematics' annual meeting, October 28 - 31 in Denver, CO.District Administration Awards of DistinctionThe awards program discussed in the segment on why an award strategy matters for credibility, even when clients don't think to apply on their own.FullScale SymposiumAn education innovation conference running October 8 - 10 in Indianapolis, IN.FETC 2027 RegistrationRegistration for the Future of Education Technology Conference, with prices increasing on October 30.SXSW EDU Launch Startup CompetitionThe pitch competition for early-stage education startups, with applications due November 1.Leoni Consulting Group's Dear Colleague Letter Roundup (post 1 | post 2 | post 3 | post 4)A collection of the most thought-provoking posts, articles, and podcasts on the Department of Education's recent "Dear Colleague" letter.NYC Public Schools' New AI and Screen Time Policy (official guidance | Chalkbeat coverage | NBC News summary of NYT reporting)Coverage of NYC's new AI policy, discussed in the closing AI policy segment.LAUSD's Generative AI Moratorium on Student Devices (syndicated LA Times coverage via Yahoo News | LAist coverage)Lisa Mo, 2026 Riverside County Teacher of the Year, on screen time, "it's not the plane, it's the pilot."Connect with Elana: LinkedIn

In this episode, Tony talks to Haidar Razzak, co-founder of Basement Gym + Studio, an independent gym business with sites across London.Haidar shares the journey that took him from prison to studying Mathematics at the University of Oxford and building successful businesses. He talks about losing his father at a young age, the circumstances that led to his offending, and the moment in prison that made him realise he needed to change direction.He also reflects on rediscovering education in prison, the barriers and rejection he faced after release, and his determination to keep moving forward. From selling ice creams after leaving prison, to setting up a transport service helping families visit loved ones at HMP Wayland, studying at Oxford University, and eventually launching Basement Gym. Haidar shares what he's learned about entrepreneurship, leadership and breaking seemingly impossible challenges down into manageable steps.Useful organisations: Prisoners' Education Trust - Supporting people in prison to access distance-learning courses and educational opportunities.The Longford Trust - Providing scholarships and mentoring to people with convictions who want to continue their education at university.The King's Trust - Supporting young people to develop skills and move into employment, education or enterprises The Open University - Offering flexible distance-learning courses and degrees, including opportunities for people studying while in prison.DWRM (Doing What Really Matters) - Supporting people with lived experience of the criminal justice system into education, employment and opportunities to build a positive future.Contact us: If anything you've heard in this podcast has inspired you to make a positive change in your life, or you'd just like to get in touch, please contact us.

Truth is not relative

Send us Fan MailSandy Velasco is an LA-based artist born in the Philippines who earned a degree in Mathematics from UCLA and worked as an accountant before entering the entertainment industry. She has called the San Gabriel Valley home for over 15 years and has performed standup comedy on stage and film across California, Las Vegas, and internationally at the Edinburgh Fringe Festival in Scotland. In addition to her work with Los Angeles theatre companies, including East West Players, Coeurage Theatre Company, Artists At Play, Playwrights' Arena, and Company of Angels, she curates and produces clean comedy shows across the SGV, including MIXED NUTS LIVE! in San Gabriel, CHEERS COMEDY HOUR in Arcadia, and BLEEP COMEDY SHOW at the Ice House in Pasadena.In this episode of the MySGV Podcast, Sandy shares her story of moving to the United States at age 13 and navigating the foster care system in Long Beach alongside her brothers. She discusses becoming a legal guardian for her younger brother after college, relying on her faith during difficult times, and balancing a mathematics and accounting background with her creative pursuits. She also discusses her entry into standup comedy, her work producing accessible clean comedy events for SGV families, and her favorite dining spots throughout the San Gabriel Valley.This episode provides San Gabriel Valley residents with a local perspective on community event production and the growing standup comedy scene in their neighborhood. For fans and followers of Sandy Velasco, the conversation offers a deeper look at how her life as an Asian American immigrant, former foster youth, mother, and comedian informs her clean storytelling on stage. Viewers searching for content about navigating foster care, shifting careers from mathematics to performance, and producing live shows will find practical insights and personal reflection.If you enjoyed this episode, please subscribe to the channel and share it with your friends and family!_______________Music CreditsIntroEuphoria in the San Gabriel Valley, Yone OGStingerScarlet Fire (Sting), Otis McDonald, YouTube Audio LibraryOutroEuphoria in the San Gabriel Valley, Yone OG__________________My SGV Podcast:Website: www.mysgv.netNewsletter: Beyond the MicPatreon: MySGV Podcastinfo@sgvmasterkey.com

In this episode, we explore a recent article, titled “Empowering Mathematics Teachers to Support Emergent Bilinguals: A Collaborative Approach to Integrating Funds of Knowledge”, from Volume 14, Issue 3 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 episode includes the authors, Jiyeong Yi and Shristi Shrestha. The article was also authored by Jasmine Sourwine. Yi, J., Sourwine, J., & Shrestha, S. (2026). Empowering Mathematics Teachers to Support Emergent Bilinguals: A Collaborative Approach to Integrating Funds of Knowledge. Mathematics Teacher Educator, 14(3), 151-167. https://doi.org/10.5951/MTE.2025-0010 Mathematics Teacher Educator Writing Tool The Mathematics Teacher Educator podcast is supported by Amidon Planet.Special Guests: Jiyeong Yi and Shristi Shrestha.

AI is getting so good at maths that it is now tackling, and apparently solving, some of the hardest mathematical problems that exist. But as huge companies like OpenAI and Anthropic race to outdo each other, human mathematicians are getting caught in the crossfire... and their field is changing forever. Jonathan Webb speaks to ABC AI Technology Reporter Cam Wilson about the furore over the Navier-Stokes equations and the million-dollar Millennium Prize.Featuring:Cam Wilson, AI Reporter at ABC.Professor Tristan Buckmaster, Mathematician at New York University.You can binge more episodes of the Lab Notes podcast with science editor and presenter Jonathan Webb on the ABC Listen app (Australia). You'll find episodes on animal behaviour, human health, space exploration and so much more.Get in touch with us: labnotes@abc.net.auThis episode of Lab Notes was produced on the lands of the Gadigal and Kaurna people.

Ben Horowitz and Erik Torenberg sit down with OpenAI co-founder and President Greg Brockman to discuss why he believes AI has entered a new phase, what OpenAI's latest models reveal about the path to AGI, and the safety and security challenges that come with increasingly capable systems.Greg explains why computer use represents such an important step for agents, including models that can work coherently for 24 hours and interact with software through the same interfaces humans use. He also shares how OpenAI deployed 10,000 agents to tackle the Navier-Stokes problem, and why advances in mathematical reasoning could translate into new approaches to science, software, and cybersecurity.Ben, Erik, and Greg also dig into the “defender's window” for cybersecurity, how AI could reshape work and entrepreneurship, and what the AI assistant of the future might actually look like: persistent, proactive, personalized, and capable of doing work on your behalf rather than waiting for another prompt.Resources:Follow Greg Brockman on X: https://x.com/gdbFollow Ben Horowitz on X: https://x.com/bhorowitz Stay Updated:Find a16z on YouTube: YouTubeFind a16z on XFind a16z on LinkedInListen to the a16z Show on SpotifyListen to the a16z Show on Apple PodcastsFollow our host: https://twitter.com/eriktorenberg Please note that the content here is for informational purposes only; should NOT be taken as legal, business, tax, or investment advice or be used to evaluate any investment or security; and is not directed at any investors or potential investors in any a16z fund. a16z and its affiliates may maintain investments in the companies discussed. For more details please see a16z.com/disclosures. Hosted by Simplecast, an AdsWizz company. See pcm.adswizz.com for information about our collection and use of personal data for advertising.

Kevin Boston-Hill speaks with Dr Spencer Striker, Professor of Digital Media Design at Northwestern University in Qatar. They discuss how A.I. can be used in creative ways to dramatize historical events and provide background information to difficult content to increase student engagement.  If you want to teach your students about Al-Khwarizmi: Father of Algebra & the Algorithm, the videos are complete and free on YouTube, in two formats: The 45-minute cinematic edition, full HD widescreen: https://www.youtube.com/watch?v=qYUp42A8c6c - The 30-episode vertical series, 90 seconds per episode: https://www.youtube.com/playlist?list=PLLdbSD64KGGs

Sermon for the Sixteenth Sunday after Pentecost (A) Sunday, 13 September A+D 2026 Rev. Matthew D. Ruesch   Matthew 18:21–35 21Peter came up and said to [Jesus], “Lord, how often will my brother sin against me, and I forgive him? As many as seven times?” 22Jesus said to him, “I do not say to you seven times, but seventy times seven. 23“Therefore the kingdom of heaven may be compared to a king who wished to settle accounts with his servants. 24When he began to settle, one was brought to him who owed him ten thousand talents. 25And since he could not pay, his master ordered him to be sold, with his wife and children and all that he had, and payment to be made. 26So the servant fell on his knees, imploring him, ‘Have patience with me, and I will pay you everything.' 27And out of pity for him, the master of that servant released him and forgave him the debt. 28But when that same servant went out, he found one of his fellow servants who owed him a hundred denarii, and seizing him, he began to choke him, saying, ‘Pay what you owe.' 29So his fellow servant fell down and pleaded with him, ‘Have patience with me, and I will pay you.' 30He refused and went and put him in prison until he should pay the debt. 31When his fellow servants saw what had taken place, they were greatly distressed, and they went and reported to their master all that had taken place. 32Then his master summoned him and said to him, ‘You wicked servant! I forgave you all that debt because you pleaded with me. 33And should not you have had mercy on your fellow servant, as I had mercy on you?' 34And in anger his master delivered him to the jailers, until he should pay all his debt. 35So also my heavenly Father will do to every one of you, if you do not forgive your brother from your heart.”

What if Pirkei Avot has a bigger story to tell? In this episode, Rabbi Marc Katz sits down with Joseph G. Rosenstein to discuss Pirkei Avot (Ethics of the Fathers): The Big Picture (Academic Studies Press, 2026), a fresh approach to one of Judaism's most beloved collections of rabbinic wisdom. The 123 teachings of Pirkei Avot often seem to jump from one subject to another: Torah study, ethics, the afterlife, relationships, leadership, and the responsibilities of living a meaningful Jewish life. Rosenstein argues that beneath this seemingly disconnected collection is a larger conceptual framework. Instead of following the mishnayot in their traditional order, he groups them by theme, revealing connections that can be easy to miss when each teaching is studied on its own. The result is a new way of seeing Pirkei Avot—not as a collection of isolated aphorisms, but as a coherent work that reflects how Judaism was reshaped in the generations following the destruction of the Temple. Rosenstein also turns the book's ethical teachings into 90 concrete principles for living, organized into 16 themes and accompanied by kavvanot, short meditations designed to help readers put those ideas into practice. Together, Rosenstein and Katz explore what Pirkei Avot is really trying to teach, why its teachings were assembled the way they were, and what happens when ancient rabbinic wisdom is read not simply as something to study, but as a guide for how to live. About the Guest Joseph G. Rosenstein is Distinguished Professor Emeritus of Mathematics at Rutgers University. In addition to his careers in mathematics and mathematics education, he has written extensively on Jewish prayer and thought. He is the author of Reflections on Pirkei Avot (Ethics of the Fathers): Not Just What My Rebbe Taught Me and has published the traditional-yet-unconventional prayer books Siddur Eit Ratzon and Machzor Eit Ratzon – Memorable Verses in the Torah. His website, joerosenstein.com, reflects his wide-ranging work in mathematics, education, and Jewish life. About the Host Rabbi Marc Katz is the rabbi of Temple Ner Tamid and the author of several books on Jewish thought and the Talmud including Yochanan's Gamble: Judaism's Pragmatic Approach to Life (JPS).  Support our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/new-books-network

What if Pirkei Avot has a bigger story to tell? In this episode, Rabbi Marc Katz sits down with Joseph G. Rosenstein to discuss Pirkei Avot (Ethics of the Fathers): The Big Picture (Academic Studies Press, 2026), a fresh approach to one of Judaism's most beloved collections of rabbinic wisdom.The 123 teachings of Pirkei Avot often seem to jump from one subject to another: Torah study, ethics, the afterlife, relationships, leadership, and the responsibilities of living a meaningful Jewish life. Rosenstein argues that beneath this seemingly disconnected collection is a larger conceptual framework. Instead of following the mishnayot in their traditional order, he groups them by theme, revealing connections that can be easy to miss when each teaching is studied on its own.The result is a new way of seeing Pirkei Avot—not as a collection of isolated aphorisms, but as a coherent work that reflects how Judaism was reshaped in the generations following the destruction of the Temple. Rosenstein also turns the book's ethical teachings into 90 concrete principles for living, organized into 16 themes and accompanied by kavvanot, short meditations designed to help readers put those ideas into practice.Together, Rosenstein and Katz explore what Pirkei Avot is really trying to teach, why its teachings were assembled the way they were, and what happens when ancient rabbinic wisdom is read not simply as something to study, but as a guide for how to live.About the GuestJoseph G. Rosenstein is Distinguished Professor Emeritus of Mathematics at Rutgers University. In addition to his careers in mathematics and mathematics education, he has written extensively on Jewish prayer and thought. He is the author of Reflections on Pirkei Avot (Ethics of the Fathers): Not Just What My Rebbe Taught Me and has published the traditional-yet-unconventional prayer books Siddur Eit Ratzon and Machzor Eit Ratzon – Memorable Verses in the Torah. His website, joerosenstein.com, reflects his wide-ranging work in mathematics, education, and Jewish life.About the HostRabbi Marc Katz is the rabbi of Temple Ner Tamid and the author of several books on Jewish thought and the Talmud including Yochanan's Gamble: Judaism's Pragmatic Approach to Life (JPS). Hosted by Simplecast, an AdsWizz company. See pcm.adswizz.com for information about our collection and use of personal data for advertising.

What if Pirkei Avot has a bigger story to tell? In this episode, Rabbi Marc Katz sits down with Joseph G. Rosenstein to discuss Pirkei Avot (Ethics of the Fathers): The Big Picture (Academic Studies Press, 2026), a fresh approach to one of Judaism's most beloved collections of rabbinic wisdom. The 123 teachings of Pirkei Avot often seem to jump from one subject to another: Torah study, ethics, the afterlife, relationships, leadership, and the responsibilities of living a meaningful Jewish life. Rosenstein argues that beneath this seemingly disconnected collection is a larger conceptual framework. Instead of following the mishnayot in their traditional order, he groups them by theme, revealing connections that can be easy to miss when each teaching is studied on its own. The result is a new way of seeing Pirkei Avot—not as a collection of isolated aphorisms, but as a coherent work that reflects how Judaism was reshaped in the generations following the destruction of the Temple. Rosenstein also turns the book's ethical teachings into 90 concrete principles for living, organized into 16 themes and accompanied by kavvanot, short meditations designed to help readers put those ideas into practice. Together, Rosenstein and Katz explore what Pirkei Avot is really trying to teach, why its teachings were assembled the way they were, and what happens when ancient rabbinic wisdom is read not simply as something to study, but as a guide for how to live. About the Guest Joseph G. Rosenstein is Distinguished Professor Emeritus of Mathematics at Rutgers University. In addition to his careers in mathematics and mathematics education, he has written extensively on Jewish prayer and thought. He is the author of Reflections on Pirkei Avot (Ethics of the Fathers): Not Just What My Rebbe Taught Me and has published the traditional-yet-unconventional prayer books Siddur Eit Ratzon and Machzor Eit Ratzon – Memorable Verses in the Torah. His website, joerosenstein.com, reflects his wide-ranging work in mathematics, education, and Jewish life. About the Host Rabbi Marc Katz is the rabbi of Temple Ner Tamid and the author of several books on Jewish thought and the Talmud including Yochanan's Gamble: Judaism's Pragmatic Approach to Life (JPS). Support our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/religion Hosted by Simplecast, an AdsWizz company. See pcm.adswizz.com for information about our collection and use of personal data for advertising.

Researchers have used metamathematical techniques to show that certain theorems that look superficially distinct are in fact logically equivalent. The article ‘Reverse Mathematics' Illuminates Why Hard Problems Are Hard first appeared on Quanta Magazine.

Episode 398 OpenAI says it has just solved one of the hardest problems in mathematics. The Navier-Stokes existence and smoothness problem has been unsolved for more than 200 years. Now AI has cracked it, some claim we've finally reached “AGI” - artificial general intelligence. Navier-Stokes is one of the Millennium Prize Problems, chosen for being famously challenging. And as OpenAI sets its sights on solving more of these problems, what does it mean for the future of mathematics and even for the future of humanity? This comes as fear mounts over the safety of AI - supercharged by the resignation of a researcher from Anthrophic who believes AI companies are “gambling with our lives.”  So have we really reached AGI? Is this new solution a good thing for humanity? To discuss all of this, Rowan Hooper and Penny Sarchet are joined by Matthew Sparkes and Timothy Revell. To read more about these stories, visit https://www.newscientist.com/ Learn more about your ad choices. Visit megaphone.fm/adchoices

We sit down with Carter Walker, the journalist behind a recent report examining Pennsylvania's youth voter registration challenges, and Tanner Zimmerman, a recent Cedar Crest High School graduate, former Lebanon County poll worker, and state officer with the Future Farmers of America. Together, they discuss why Pennsylvania ranks last in the nation for youth voter registration, the barriers keeping young people from participating in elections, and the strategies advocates are using to boost civic engagement.What can a theme park teach us about mathematics? Quite a lot, it turns out.In this episode, Dickinson College professors Dick Forrester, Professor of Mathematics and Data Analytics, and Barry Tesman, Theodore & Catherine Mathias Chair in Mathematics, Computer Science and Quantitative Studies, are joined by students who spent part of their summer at Universal Orlando as part of Dickinson's innovative course, The Mathematics of Theme Parks.

Send us Fan MailHave you ever wondered how to make math education better? To make sure there's enough practice and practicality in math lessons?By as early as first and second grade, nearly half of students report feeling ‘moderately nervous' or more when doing math, and by grades 7–10, surveys find that 82% of U.S. students describe themselves as fearful of math.During play, the brain's prefrontal cortex — the center for reasoning and problem-solving — lights up more than during direct instruction. Play literally strengthens the pathways for persistence and flexible thinking. At MIND Education, they see math as more than a subject. It is a way of thinking, and every student is capable of developing deep mathematical understanding.Brandon Smith is the President and Lead Mathematician/Product Director at MIND Education, and works to help educators better meet the needs of all their students. He has a bachelor's degree in math and two master's degrees in pure and applied mathematics, and enjoys piloting planes in his spare time.Thanks for listening, and be sure to connect with Brandon in the links below:Connect with Brandon & MIND Education:Website: mindeducation.orgBrandon's LinkedIn: linkedin.com/in/brandon-smith-994a38ba/ Brandon's Blog Posts: https://2024.mindresearch.org/speakers/brandon-smithChris Woods is the host of the STEM Everyday Podcast...Connect with him:Website: dailystem.comTwitter/X: @dailystemInstagram: @dailystemYouTube: @dailystemGet Chris's book Daily STEM on AmazonSupport the show

Learning to teach math teachers better by engaging in a roundtable discussion about the events and opportunities of the Association of Mathematics Teacher Educators that help promote community and engagement around the improvement of mathematics teacher education. Links from the episode Volunteer Form Virtual Institute 2026, “Learning in Motion: Sustaining Practice, Strengthening Community” 31st Annual Conference in Baltimore, MD Community Circles Mathematics Teacher Educator journal Mathematics Teacher Educator podcast Equity Book Club Service, Teaching, & Research (STaR) in Mathematics Education: Supporting Early Career Professionals Early Career BIPOC Faculty Mentoring Program Support AMTE

P.M. Edition for Sept. 8. OpenAI says it's cracked the Navier-Stokes problem, one of the seven Millennium Prize Problems that are the deepest and most difficult unresolved questions in mathematics. WSJ Science of Success columnist Ben Cohen explains why labs like OpenAI are competing—and spending millions—for such breakthroughs. Plus, a dozen nations are imposing new trade restrictions on Israel over the expansion of settlements in the West Bank. And Smithsonian Secretary Lonnie Bunch III, the first African-American and the first historian to lead the institution, is stepping down after more than a year of tension with President Trump. Alex Ossola hosts. Sign up for the WSJ's free What's News newsletter. Hosted by Simplecast, an AdsWizz company. See pcm.adswizz.com for information about our collection and use of personal data for advertising.

a16z Infra Partner Lisha Li sits down with OpenAI mathematicians Mehtaab Sawhney and Mark Sellke to discuss how quickly AI's mathematical capabilities are advancing, what recent results reveal about model reasoning, and what happens when AI begins making progress on problems mathematicians have struggled with for decades.Mehtaab and Mark unpack several recent results from OpenAI's models, including advances in sphere packing and the construction of a non-sofic group. They explain why the surprising part isn't simply that models can search more possibilities or work longer than humans: in many cases, the reasoning traces look remarkably similar to the work of an expert mathematician, including choosing promising approaches, backtracking when they fail, and combining ideas from across the literature.They also explore what this means for mathematics itself: how the role of human taste and judgment may change, whether AI could produce far more mathematics than humans can absorb, and why models that accelerate discovery may also make sophisticated results easier to understand.Resources:Follow Lisha Li on X: https://x.com/lishali88Follow Mehtaab Sawhney on X: https://x.com/mehtaab_sawhneyFollow Mark Sellke on X: https://x.com/MarkSellke Stay Updated:Find a16z on YouTube: YouTubeFind a16z on XFind a16z on LinkedInListen to the a16z Show on SpotifyListen to the a16z Show on Apple PodcastsFollow our host: https://twitter.com/eriktorenberg Please note that the content here is for informational purposes only; should NOT be taken as legal, business, tax, or investment advice or be used to evaluate any investment or security; and is not directed at any investors or potential investors in any a16z fund. a16z and its affiliates may maintain investments in the companies discussed. For more details please see a16z.com/disclosures. Hosted by Simplecast, an AdsWizz company. See pcm.adswizz.com for information about our collection and use of personal data for advertising.

"I've squatted 1,000 pounds more times than I've successfully asked out a female." Most superheavyweight powerlifters hide their rock-bottom moments behind PR reels, but Patrick Maguire walked onto the platform after a catastrophic quad tear, took a token squat, and pulled sumo for laughs just to finish the job. After three years of brutal injuries, botched cuts, and a personal life that completely shattered, he stripped away the toxic "mass moves mass" myth and rebuilt his body from scratch using strict range-of-motion bodybuilding, cold data, and brutal self-awareness. INSIDE THIS CONVERSATION The Superheavyweight Cut Trap: Why dropping 40 pounds before a meet is ruining your leverages, wrecking your rehydration, and destroying your total. The "Mass Moves Mass" Lie: How chasing arbitrary body weight creates a bloated shell instead of dense, usable, injury-resilient muscle. Math vs. Modern Powerlifting: What a degree in mathematics reveals about how changing point systems quietly disadvantage heavy lifters. Beyond the 5-Year Peak: How top-tier lifters survive the inevitable decline by changing how they train, recover, and manage systemic fatigue. AI as a Training Partner: How to leverage artificial intelligence to eliminate diet friction and build precise, high-protein nutrition systems. Life Outside the Platform: Why relying on the barbell as your sole identity leads to burnout, and how to build a life that supports performance. MEET THE GUEST Patrick Maguire is a professional superheavyweight powerlifter with competition bests of a 1,014-pound squat, a 635-pound bench, and a 772-pound deadlift, holding a career-best total of 2,342 pounds in wraps. A former All-Time World Record holder in the teen raw bench press (545 pounds at age 19) and once the youngest lifter to squat four figures, Maguire combines top-tier physical capability with an analytical mind, holding a B.A. in Mathematics. Having navigated severe platform failures, personal adversity, and nearly a decade of coaching, his hard-earned perspective offers a raw, unfiltered look at what it truly takes to sustain elite strength over the long haul. FOLLOW PATRICK Instagram https://www.instagram.com/full_primal_power/ YouTube https://youtube.com/@fullprimalpower Become an elitefts Channel Member Get early access to Dave Tate's Table Talk, exclusive content, and member-only perks. ➡️ @eliteftsofficial Support Dave Tate's Table Talk Full Crew Access https://elitefts.com/pages/join-the-crew Limited Edition Apparel https://www.elitefts.com/shop/apparel/limited-edition.html Programs & Exclusive Content https://www.elitefts.com/shop/dave-tate-s-table-talk-crew.html TYAO Coaching Application https://www.elitefts.com/dave-tate-s-tyao-application Best-Selling elitefts Products Pro Resistance Training Bands https://www.elitefts.com/shop/bands.html Specialty Barbells https://www.elitefts.com/shop/bars-weights/specialty-bars.html Wraps, Straps & Sleeves https://www.elitefts.com/shop/power-gear.html Official Sponsors & Discounts elitefts — Save 10% OFF with code TABLE TALK https://www.elitefts.com/ Marek Health — Save 10% OFF Labs with code TABLETALK https://marekhealth.com/tabletalk LMNT — Get a FREE 8-Count Sample Pack http://www.drinklmnt.com/tabletalk ChiliPad 2.0 — Save Up to $255 with code TABLETALK https://sleep.me/tabletalk Visionary Meals (Official Meal Prep Partner) — Save 10% OFF with code TABLETALK10 https://visionarymeals.com MASS Research Review — Save 20% OFF with code ELITEFTS20 https://massresearchreview.com/ RP Hypertrophy App — Save 10% OFF with code TABLE TALK https://rpstrength.com/pages/hypertrophy-app Support Massenomics https://www.massenomics.com/

Episode: 2636 Admiral Michael Mullen and Mathematics.  Today, leading the charge.

Ted Fisher was elected to the Oklahoma Senate as a member of the Democratic Party representing the 12th district in 1986 and served in office until term-limited in 2006.Before entering elected office, Ted worked for Warren Petroleum in Tulsa and Montgomery Ward in Sapulpa, Oklahoma, the company best known for its mail-order catalog. He later joined a real estate and insurance firm before being recruited to run for office.As a senator, he sponsored legislation that provided funding for the Training for Industry Programs, authored the Welfare Reform Act, and established regional centers of the Oklahoma School of Science and Mathematics. He also sponsored legislation for Early Childhood Education. After leaving the Senate, he became economic development director for his hometown of Sapulpa.In 2007, Ted was inducted into the Oklahoma Career Tech Hall of Fame. Listen to Ted talk about being a driver for W. K. Warren, the drama of House Bill 17, and his passion for Early Childhood Education on the podcast and website VoicesOfOklahoma.com.

In this episode, Nate welcomes author and philosopher, Charles Eisenstein, for a long-requested conversation on the mythologies underneath civilization. For over two decades, Charles has argued that the crises defining modern life all trace back to the story of separation, the largely unspoken belief that each of us is an isolated self, competing against other selves and against a nature made of indifferent, exploitable resources. Charles traces how this story co-evolved with technology, language, and scale, and how quantitative thinking both extends and distorts our understanding of complex problems. He and Nate also discuss why Charles has come to believe that ecological and energy constraints will not force humanity onto a wiser path, rather that the choice has to be made consciously, person by person. (Conversation recorded on August 12th, 2026)    About Charles Eisenstein: Charles Eisenstein is an American author, public speaker, and teacher whose work focuses on civilization, consciousness, money, and human cultural evolution. He graduated from Yale University in 1989 with a degree in Mathematics and Philosophy, and spent the following decade as a Chinese–English translator before turning to writing and speaking full-time. He is the author of several books, including The Ascent of Humanity (2007), Sacred Economics (2011), The More Beautiful World Our Hearts Know Is Possible (2013), and Climate: A New Story (2018). His most recent book, The Coronation, examined the pandemic as a mirror of civilization's relationship to control, fear, and uncertainty. His essays have circulated widely online, and he speaks and gives interviews frequently on themes spanning economics, ecology, and spirituality.   Show Notes and More   Watch this video episode on YouTube   Want to learn the broad overview of The Great Simplification in 30 minutes? Watch our Animated Movie.   ---   Support The Institute for the Study of Energy and Our Future   Join our Substack newsletter   Join our Hylo channel and connect with other listeners  

a16z's Lisha Li sits down with Daniel Litt, Assistant Professor of Mathematics at the University of Toronto, to unpack AI's rapid progress in mathematics, what today's frontier models can actually do, and what they're still missing about the way mathematicians think. Daniel explains why some recent AI-generated results are genuinely impressive, including an autonomous solution to the Erdős unit distance problem, but argues that solving problems is only one part of mathematics. Today's models can grind through calculations, combine known techniques, and search enormous spaces, but still struggle with intuition, theory building, identifying the right questions, and developing the kind of big-picture understanding that drives much of mathematical progress. Lisha and Daniel also explore how AI is already changing mathematical research, why an explosion of AI-generated papers could distort academic incentives, and what happens if researchers outsource the work of thinking rather than use AI to deepen it. Ultimately, they ask a question that extends far beyond mathematics: as AI gets better at intellectual work, how do we make sure humans keep getting better at thinking too? Resources: Follow Daniel Litt on X: https://x.com/littmath Follow Lisha Li on X: https://x.com/lishali88 Stay Updated:Find a16z on YouTube: YouTubeFind a16z on XFind a16z on LinkedInListen to the a16z Show on SpotifyListen to the a16z Show on Apple PodcastsFollow our host: https://twitter.com/eriktorenberg Please note that the content here is for informational purposes only; should NOT be taken as legal, business, tax, or investment advice or be used to evaluate any investment or security; and is not directed at any investors or potential investors in any a16z fund. a16z and its affiliates may maintain investments in the companies discussed. For more details please see a16z.com/disclosures. Hosted by Simplecast, an AdsWizz company. See pcm.adswizz.com for information about our collection and use of personal data for advertising.

Linda Pastam wrote a marvelous poem called “Driving West” in which these lines appear:We are the pioneersof our own histories, drawnto the horizon as if it waited just for usthe way the young are drawnto the future, the old to the past.“…the way the young are drawn to the future, the old to the past.”I need you to hold those words tightly in your hands, even though they wriggle and thrash like slippery fishes anxious to escape your unfamiliar fingers and return to the quiet darkness where they can breathe water and feel entirely at home.Hold on to those words.Dr. Roger Sperry was awarded the Nobel Prize in 1981 for his documentation of the differences between the two hemispheres of our brains.One half of your brain puts you in touch with this Present Moment in this Real World.The other half puts you in touch with the Past and the Future in that mystical – magical – hallucinatory unreliable World of Imagination.Dr. Sperry discovered that what appears to a brain divided into two halves could more accurately be described as two separate, competing brains.In his Nobel Prize acceptance speech, Sperry said,“Each brain half appeared to have its own, largely separate, cognitive domain with its own private perceptual, learning and memory experiences, all of which were seemingly oblivious of corresponding events in the other hemisphere.”Dr. Sperry later said,“Each hemisphere of the brain is indeed a conscious system in its own right, perceiving, thinking, remembering, reasoning, willing, and emoting, all at a characteristically human level, and both the left and the right hemisphere may be conscious simultaneously in different, even in mutually conflicting,mental experiences that run along in parallel.”Regardless of which half you prefer, both halves are equally important.One half of your brain puts you in touch with This world.The other half puts you in touch with Possible worlds.One half puts you in touch with the sciences.The other half puts you in touch with the arts.Now let's get back to those wriggling fish that I asked you to hold.The Future to which the young are drawn, and the Past to which the old are attracted, are different time zones in the world of imagination.The young live in the brightness of the noonday sun. The old live in the twilight and remember the light of day.Most Americans attempt to persuade each other with facts. We do this because we trust Science and we worship Mathematics, and that is why we write such terrible ads.Most of us, most of the time, trust our instincts.We trust our intuitive hearts.This is what Nobel laureate Daniel Kahneman described as System 1 or “Thinking Fast” in his book, “Thinking Fast and Slow.”Behavioral scientists estimate that roughly 90% to 95% of our daily decisions are made automatically and unconsciously using System 1 thinking.Most people don't want to admit it.In fact, most people refuse to accept it.But the scientific truth is that we make at least nine-tenths our decisions in that half of the brain where the darkwater fish glimmer effortlessly and thoughtlessly, silver and gold in the moonlight.Study the arts. Learn to win the heart.If you win the heart, the mind will follow. The mind will always create logic to justify what the heart has already decided.Roy H. WilliamsPaul Kesig uses the acronym L.O.V.E. to encapsulate his approach to sales.L is for celebrating Little wins.O is for asking Open-ended questions.V is for creating and communicating Value.E is for building an Emotional connection.Paul says that pairing love with sales strikes many people as contradictory. This is usually because their experiences with bad salespeople have taught them to truly hate the sales process.Listen in as Paul explains to roving reporter Rotbart that those who have adopted his approach have quickly discovered that L.O.V.E. really can spell success; MondayMorningRadio.com

BIBLIOGRAPHYPRIMARY AND CLASSICAL SOURCESAristotle. Metaphysics. Translated by Hugh Tredennick. Harvard University Press.Aristotle. On the Heavens. Translated by W. K. C. Guthrie. Harvard University Press.Diogenes Laërtius. Lives of Eminent Philosophers, Book VIII. Translated by R. D. Hicks. Harvard University Press.Euclid. The Thirteen Books of Euclid's Elements. Translated and edited by Thomas L. Heath. Cambridge University Press.Iamblichus. On the Pythagorean Way of Life. Translated by John Dillon and Jackson Hershbell. Society of Biblical Literature.Philolaus. Fragments and Testimonia, collected and discussed in Carl A. Huffman's Philolaus of Croton.Plato. Phaedo. In Plato: Complete Works, edited by John M. Cooper. Hackett Publishing.Plato. Republic. Translated by C. D. C. Reeve. Hackett Publishing.Plato. Theaetetus. Translated by M. J. Levett and revised by Myles Burnyeat. Hackett Publishing.Plato. Timaeus. Translated by Donald J. Zeyl. Hackett Publishing.Plotinus. The Enneads. Translated by A. H. Armstrong. Harvard University Press.Porphyry. Life of Pythagoras. In The Pythagorean Sourcebook and Library, translated by Kenneth Sylvan Guthrie and edited by David R. Fideler. Phanes Press.Proclus. A Commentary on the First Book of Euclid's Elements. Translated by Glenn R. Morrow. Princeton University Press.PYTHAGORAS AND THE PYTHAGOREAN TRADITIONBurkert, Walter. Lore and Science in Ancient Pythagoreanism. Translated by Edwin L. Minar Jr. Harvard University Press, 1972.Huffman, Carl A. A History of Pythagoreanism. Cambridge University Press, 2014.Huffman, Carl A. Archytas of Tarentum: Pythagorean, Philosopher and Mathematician King. Cambridge University Press, 2005.Huffman, Carl A. Philolaus of Croton: Pythagorean and Presocratic. Cambridge University Press, 1993.Kahn, Charles H. Pythagoras and the Pythagoreans: A Brief History. Hackett Publishing, 2001.Riedweg, Christoph. Pythagoras: His Life, Teaching, and Influence. Cornell University Press, 2005.Waterfield, Robin. The First Philosophers: The Presocratics and Sophists. Oxford University Press, 2000.Zhmud, Leonid. Pythagoras and the Early Pythagoreans. Oxford University Press, 2012.PLATO, PLATONISM, AND ANCIENT COSMOLOGYAnnas, Julia. An Introduction to Plato's Republic. Oxford University Press, 1981.Cornford, Francis Macdonald. Plato's Cosmology: The Timaeus of Plato. Hackett Publishing, 1997.Dillon, John. The Middle Platonists: 80 B.C. to A.D. 220. Cornell University Press, 1996.Fowler, David. The Mathematics of Plato's Academy: A New Reconstruction. Oxford University Press, 1999.Guthrie, W. K. C. A History of Greek Philosophy, Volumes I–V. Cambridge University Press.Johansen, Thomas Kjeller. Plato's Natural Philosophy: A Study of the Timaeus-Critias. Cambridge University Press, 2004.O'Meara, Dominic J. Pythagoras Revived: Mathematics and Philosophy in Late Antiquity. Oxford University Press, 1989.Sedley, David. Creationism and Its Critics in Antiquity. University of California Press, 2007.Wallis, Richard T. Neoplatonism. Hackett Publishing, 1995.EUCLID, THE PENTAGON, AND GREEK MATHEMATICSHeath, Thomas L. A History of Greek Mathematics. Dover Publications.Heath, Thomas L. The Thirteen Books of Euclid's Elements. Cambridge University Press.Knorr, Wilbur Richard. The Evolution of the Euclidean Elements. D. Reidel Publishing, 1975.Mueller, Ian. Philosophy of Mathematics and Deductive Structure in Euclid's Elements. MIT Press, 1981.Netz, Reviel. The Shaping of Deduction in Greek Mathematics: A Study in Cognitive History. Cambridge University Press, 1999.Pappas, Theoni. The Joy of Mathematics. Wide World Publishing, for accessible visual discussion of pentagonal proportion and recursive geometry.Van der Waerden, B. L. Science Awakening. Noordhoff International Publishing.LATE ANTIQUITY, NEOPLATONISM, AND THEURGYChlup, Radek. Proclus: An Introduction. Cambridge University Press, 2012.Dillon, John. The Middle Platonists. Cornell University Press.Finamore, John F., and Sarah Iles Johnston. The Chaldean Oracles: A New Translation and Commentary. Society of Biblical Literature, 2011.Gregory, John. The Neoplatonists: A Reader. Routledge, 1999.Shaw, Gregory. Theurgy and the Soul: The Neoplatonism of Iamblichus. Angelico Press, revised edition, 2014.Smith, Andrew. Porphyry's Place in the Neoplatonic Tradition. Springer, 1974.Wallis, Richard T. Neoplatonism. Hackett Publishing.Also want to remind people about the website, if you're into reading we have tons of information by multiple contributors, and we got t-shirts up on the site if you're interested. Fun fact, the art is all based on the eyeball.