Podcasts about Subtraction

Instead of piling on more, what if we focused on what we could remove? In this snackable episode from our Essential series, Kelly speaks with American scientist, engineering professor, and best-selling author Leidy Klotz, who wrote the New York Times bestseller Subtract: The Untapped Science of Less. You'll learn about the science behind our natural tendency to add rather than subtract, and how we can counter this instinct by consciously considering subtraction as a powerful option. Plus, Kelly and Leidy share practical examples of how to apply the power of subtraction in everyday life. Listen to the full conversation in Episode 155: Subtract, The Science of Less with Leidy Klotz.

Get your copy of Rachel's New Book Here: Audible, Amazon, Barnes & Noble, Books-A-Millon, Bookshop.org, or wherever books are sold!In this episode of The Rachel Hollis Podcast, Rachel explores the transformative power of letting go in order to become the best version of ourselves. She discusses the importance of subtracting rather than adding to our lives, sharing her personal journey with full moon rituals that emphasize intentional release.00:57 Spirituality and Letting Go04:01 The Vision Cast Ritual09:34 The Monthly Full Moon Dinner12:50 Michelangelo and the Art of Subtraction15:59 The Scorpion's Lesson19:56 Embracing the Full Moon Ritual21:39 Personal Journey and Spiritual Exploration28:22 Incorporating the Full Moon Practice31:54 The Power of Letting Go42:48 Encouragement and Final ThoughtsSign up for Rachel's weekly email: https://msrachelhollis.com/insider/Call the podcast hotline and leave a voicemail! Call (737) 400-4626Watch the podcast on YouTube: https://www.youtube.com/c/RachelHollisMotivation/videosFollow along on Instagram: https://www.instagram.com/MsRachelHollis To learn more about listener data and our privacy practices visit: https://www.audacyinc.com/privacy-policy Learn more about your ad choices. Visit https://podcastchoices.com/adchoices.

What kinds of tasks help students build multi-digit addition and subtraction strategies? In this episode Pam and Kim discuss how to sequence tasks to develop the foundational strategies and relationships for multi-digit addition and subtraction: Friendly numbers, place value, adjusting, the commutative property, decomposingTalking Points:Sequencing tasks is more than just moving from one page to the next in the teacher guideSample of three "messy" tasks to:develop number linesmake connections between addition and subtractionanalyze strategiessolidify a strategyFor more sequences, check out the Foundations for Strategies from Hand2mind!: https://www.hand2mind.com/item/foundations-for-strategies-multi-digit-addition-subtraction-small-group-kitCheck out our social mediaTwitter: @PWHarrisInstagram: Pam Harris_mathFacebook: Pam Harris, author, mathematics educationLinkedin: Pam Harris Consulting LLC 

Why do we instinctively add more—but rarely consider taking things away? In this episode, Leidy Klotz joins us to explore the hidden power of subtraction and why our brains are wired to overlook it. Drawing from his book Subtract, Leidy explains how this instinct to add can lead to unnecessary complexity, missed opportunities, and burnout. But this conversation goes far beyond minimalism—it's about rethinking how we approach challenges and choices in every area of life. We also dive into practical ways to shift our mindset and discover Leidy's unexpected path to becoming a behavioral science expert. If you've ever felt buried under the weight of “more,” this episode will open your eyes to the liberating potential of “less".Take a brief survey for the show to influence future episodes.Links Discussed in This Episode |Connect with Leidy:InstagramWebsiteBook: Subtract: The Untapped Science of LessAbout Leidy|Leidy Klotz is an award-winning professor, international speaker, and the acclaimed author of Subtract, whose groundbreaking research – published in both Nature and Science – has shifted our understanding of how to approach problems and create change. Leidy knows design – the craft of changing things from how they are to how we want them to be. Which, he reminds us, is something we all do every day.Leidy has given more than 100 invited talks for organizations and universities including Stanford, MIT, and every member of the Ivy League (except Yale). He has been interviewed for Hidden Brain (NPR), Freakonomics, and The Atlantic. And he has written for The Wall Street Journal, Harvard Business Review, Scientific American, and The Washington Post.An experienced educator, Leidy has taught thousands of students as a professor at the University of Virginia, including 21 Ph.D. advisees whose designs and teaching shape the world. Diversity and inclusion are core tenets of Leidy's work, as more than three quarters of his advisees are from groups underrepresented in their respective fields.Before he taught design, Leidy designed schools in New Jersey. And before that, he played professional soccer.Episode Sponsors |The Minimalist Moms Podcast would not be possible without the support of weekly sponsors. Choosing brands that I believe in is important to me. I only want to recommend brands that I believe may help you in your daily life. As always, never feel pressured into buying anything. Remember: if you don't need it, it's not a good deal!Enjoy the Podcast?Post a review and share it! If you enjoyed tuning into this podcast, then do not hesitate to write a review. You can also share this with your fellow mothers so that they can be inspired to think more and do with less. Order (or review) my book, Minimalist Moms: Living & Parenting With Simplicity.Questions |You can contact me through my website, find me on Instagram, Pinterest or like The Minimalist Moms Page on Facebook.Checkout the Minimalist Moms Podcast storefront for recommendations from Diane.If you've been struggling with motivation to declutter or work through bad habits that keep you stuck, I'd love to help you achieve your goals! We'll work together (locally or virtually) to discover what areas in your life are high priority to get you feeling less overwhelmed right away.  For more info on my processes, fees, and availability please contact!Our Sponsors:* Check out Armoire and use my code MINIMALIST for a great deal: https://www.armoire.style* Check out Avocado Green Mattress: https://www.avocadogreenmattress.com* Check out Happy Mammoth and use my code MINIMALIST for a great deal: https://happymammoth.comSupport this podcast at — https://redcircle.com/minimalist-moms-podcast2093/exclusive-contentAdvertising Inquiries: https://redcircle.com/brandsPrivacy & Opt-Out: https://redcircle.com/privacy

In this episode, Cheri Dotterer shares a replay of a live webinar teaching three powerful math interventions proven to help students—from kindergarten to high school—retain and engage with math concepts more effectively. These strategies bridge the gap between cognitive science and classroom practice. Cheri breaks down the interventions into practical, hands-on activities, including the Locker Problem, the 120-Chart, and Paper Folding (Making Rectangles). She also highlights real-world case studies and the neuroscience behind these interventions, showing how as little as six minutes per week can change math outcomes.**************************************************************************Products Mentionedhttps://disabilitylabs.com/courses/cwsbp**************************************************************************TIME STAMPS0:48 – 2:15 How writing struggles connect to math struggles.2:15 – 3:01 Introduction to Jonily Zupancic and Cheri's learning journey.3:01 – 4:06 Cheri's background, books, podcasts, and how writing is more than literacy.4:06 – 6:56 Early number sense: how toddlers naturally engage with shapes and numbers.6:56 – 7:57 Breaking the cycle of frustration and introducing today's three interventions.7:57 – 10:07 Research data showing how these interventions improved math scores.10:07 – 11:18 First intervention: Division is Sharing — Introduction.11:18 – 17:25 The Locker Problem — A math patterning activity to teach division and counting.17:25 – 20:06 Second intervention: Subtraction is Distance — Using the 120-Chart to build number sense.20:06 – 25:10 Third intervention: Multiplication is Rectangles — Teaching multiplication and fractions using paper folding.25:10 – 26:57 AHA moments and reflection from webinar participants.26:57 – 27:46 Why these interventions work and why you should try them.27:46 – 30:12 Course bundle details and how to apply these interventions K-12.30:12 – 33:21 Practicum, bonus offers, and course bundle available for listeners.****************************************************************************BOOKSHandwriting Brain Body DISconnect Digital Version: https://disabilitylabs.com/courses/hwbbd On Amazon: https://www.amazon.com/Handwriting-Br...*****************************************************************************SUBSCRIBE and LISTEN to the Audio version of the podcast here on YouTube or your favorite podcast app.APPLE: https://podcasts.apple.com/us/podcast/the-writing-glitch/id1641728130?uo=4SPOTIFY: https://open.spotify.com/show/5rU9kLxjkqJE5GbyCycrHEAMAZON MUSIC/AUDIBLE: https://music.amazon.com/podcasts/894b3ab2-3b1c-4a97-af60-b1f2589d271fYOUTUBE: https://www.youtube.com/@TheWritingGlitchPodcast*****************************************************************************FREE WEBINARSpecial Offer coming in March. Sign up TODAY! https://3MathInterventions.eventbrite.com*************************************************************************Other ways to connect with Cheri Linked In: https://www.linkedin.com/in/cheridott...FB: https://www.facebook.com/groups/tier1...IG: https://www.instagram.com/cheridotterer/X: https://twitter.com/CheriDottererTikTok: https://www.tiktok.com/@cheridotterer ***********************************************************************HASHTAGS#TheWritingGlitch #cheri  #NeuroscienceOfLearning #CognitiveScience #BrainDevelopment #ExecutiveFunctioning #EducationPodcast 

Welcome back to the Daily Living for Christ podcast. I'm excited to begin a special four-part series recently planted in my spirit—a divine invitation to explore the power of spiritual intention and what I believe God is revealing to believers in this season.On Friday, March 21, 2025, the word “intention” dropped into my heart with weight and clarity. In a conversation today, the phrase “multiplication through subtraction” emerged, another Spirit-led insight I now see deeply connected to intention. Over the next four episodes, we'll unpack how intentional living, divine subtraction, and the presence of God are not just abstract ideas—but powerful spiritual principles rooted in Scripture and essential for transformation, growth, and kingdom multiplication.Here's what's ahead:The Power of IntentionDiscerning When Intention is Directed Toward GodMultiplication Through Subtraction – The Paradox of Divine IncreaseLinking Sacred Intention to Prayer and Practicing God's PresenceWhether you're a Christian seeking deeper purpose or discerning where God is leading you next, these episodes will stir your spirit, challenge your assumptions, and realign your heart with God's greater purpose.I pray this series speaks directly to the hearts of those God is calling to shift their intentions toward Him. Download each episode, and be sure to subscribe so you don't miss a moment of this transformational journey."Have Questions, Send us a Message" This podcast is a production of The Center for Biblical Coaching and Leadership. If this episode has been useful or inspiring to you in any way, please share it with someone else. Lastly, please subscribe to the show and write a review.Visit our website, tcbcl.org, to learn more about our mission and vision.

What should the bulk of math class look like? In this episode Pam and Kim discuss sequencing tasks to build foundational relationships that develop into major strategies.Talking PointsMajor relationships that build the major strategiesProblem Strings are one kind of taskFoundational Relationships for young learnersRich tasks that get kids messing with relationshipsWhat does practice look like? (See Episode 38 for more information on Hint Cards)Check out pre planned sequence of tasks in the Foundation for Strategies small group kit Order information for Foundation for Strategies here: https://www.hand2mind.com/item/foundations-for-strategies-multi-digit-addition-subtraction-small-group-kit  Order your copy of Avoiding the Trap of Algorithms here: https://www.mathisfigureoutable.com/avoidthetrapsCheck out our social mediaTwitter: @PWHarrisInstagram: Pam Harris_mathFacebook: Pam Harris, author, mathematics educationLinkedin: Pam Harris Consulting LLC 

Today's episode is not a math lesson. Take a moment to listen. 

In this episode of Referrals Done Right, host Scott Grates sits down with powerhouse agency owner Ashley Himes to discuss what it takes to build a thriving business, an unstoppable team, and a referral-based growth engine. Ashley shares her incredible journey—from despising the insurance industry to becoming a leader in it—along with the game-changing strategies that have propelled her agency to the top.What You'll Learn in This Episode:The Climber vs. Camper Mentality: Why Ashley only hires people who want more out of life and how that mindset fuels a winning culture.The Secret to Recruiting Top Talent: How she attracts high-performing employees by aligning compensation with their personal dreams and goals.Mastering Community-Based Marketing: The innovative ways Ashley's agency builds brand loyalty, generates organic referrals, and makes the phone ring without buying leads.The Power of Giving Back: How her agency's 12 Months of Giving initiative not only impacts the community but also fuels exponential business growth.Breaking Down Big Goals into Daily Actions: The exact system Ashley uses to track numbers, improve close rates, and scale her agency's success.This episode is a masterclass in leadership, culture, and client-focused growth. If you want to learn how to build a business that runs on referrals—and a team that's as motivated as you are—this is a must-listen!

Dr. Leidy Klotz is a professor at the University of Virginia, and the author of the book Subtract: The Untapped Science of Less. In this episode, we talk about how his research contributes to our understanding of how to approach and solve problems and how to change and innovate. This is an insightful conversation between two psychologists who really love to study how people think and act! Dr. Klotz's research is about so much more than creativity, but his research is linked to a lot of creativity topics, including editing during the process, architectural design, and education. Please take a look at Dr. Leidy Klotz's book, which is called Subtract: The Untapped Science of Less, and visit his web site at leidyklotz.com. Music by license from SoundStripe: "Uptown Lovers Instrumental" by AFTERNOONZ "Miss Missy" by AFTERNOONZ "What's the Big Deal" by Ryan Saranich Copyright (c) 2024 Keith Sawyer

From Soviet Struggles to American Success: How do you go from poverty in Mozambique to becoming a pop icon in Russia, then leave it all behind to build a thriving life and business in America? Christian Ray Flores has lived a life that defies the odds—rising to the top of the music charts, helping elect Boris Yeltsin, and then reinventing himself as a high-performance coach, entrepreneur, and leader. In this powerful episode of On The Homefront, Jeff Duden and Christian explore resilience, reinvention, and the deep lessons learned along the way. Christian shares raw stories of his childhood struggles, his unexpected path to faith, and how he discovered that true success isn't about fame—it's about impact. What's holding you back from aiming higher in your life? Drop your thoughts in the comments!

From Soviet Struggles to American Success: How do you go from poverty in Mozambique to becoming a pop icon in Russia, then leave it all behind to build a thriving life and business in America? Christian Ray Flores has lived a life that defies the odds—rising to the top of the music charts, helping elect Boris Yeltsin, and then reinventing himself as a high-performance coach, entrepreneur, and leader. In this powerful episode of On The Homefront, Jeff Dudan and Christian explore resilience, reinvention, and the deep lessons learned along the way. Christian shares raw stories of his childhood struggles, his unexpected path to faith, and how he discovered that true success isn't about fame—it's about impact. What's holding you back from aiming higher in your life? Drop your thoughts in the comments!

As we continue our Foundations series, Pastor Dustin walks through Acts 4 and Acts 5. Sometimes when we give up things, we end up with more than we expected. – Listen to the message here!

February 2, 2025 Pastor Eric Mounts 1 Corinthians 5:1-13

Are you good at math? This is a complicated question because there are many types of math.But the type of math that can be hardest for us to understand in this life is what we will call, in this week's message, "God Math." We see in the beginning of Acts, as the church begins, that God adds to their number daily. We see God multiply their faith in others. This type of math is exciting! But in Acts 5 we see God introduce a new kind of math to his church: Subtraction. Even though we love when God adds and multiplies, the truth is God often uses subtraction to move our lives forward. God does not mind cutting out anything or anyone in our lives that is holding us back from bearing the kind of fruit he likes. We will dive head first into this idea as we study one of the most jarring and hard-to-understand stories in all of the New Testament: Ananias and Sapphira.Join us for service online or in person every Sunday at 8am, 9:30am, 11am, & 12:30pm (PST).If you want to share how God is moving in your life through this ministry, please let us know at info@captivatesd.com!Decided To Follow Jesus? Sign up to receive a copy of our “I Have Decided” booklets - https://shorturl.at/GymIkGet plugged in!Next Steps - captivatesd.com/next-stepsVisit - captivatesd.com/visitCommunities - captivatesd.com/communitiesIf you would like to support Captivate financially you can give online through our website by clicking here captivatesd.com/giving Need prayer? Please let us know! - https://captivatesd.churchcenter.com/people/forms/597023For more information about Captivate Church, visit captivatesd.com or follow us on our social media platforms below.Instagram - Instagram.com/captivatechurchsdFacebook - facebook.com/captivatesdWatch More Messages: youtube.com/@CaptivateChurch/videos

1 Corinthians 4:1-16

Soraya Simi is the director of the new documentary, ROW OF LIFE, which follows renowned Paralympian and Marine Veteran Angela Madsen on her solo row across the Pacific Ocean. The film quite simply rocks, if I do say so myself. It's on a nationwide tour now; see dates here. In this podcast, I grilled Soraya about the art and craft of documentary filmmaking. How to get funding with a sizzle, A plot and B plot, truth as subtraction, and much more. Soraya is a damn good filmmaker. If you dig this podcast, will you please leave a short review on Apple Podcasts? It takes less than 60 seconds and makes a difference when I drop to my knees and beg hard-to-get guests on the show. I read them all. You can watch this podcast on my YouTube channel and join my newsletter on Substack. It's glorious.Kyle Thiermann is a reader-supported publication. To receive new posts and support my work, consider becoming a free or paid subscriber. Get full access to Kyle Thiermann at thiermann.substack.com/subscribe

Are you addicted to busyness? Do you wear your packed schedule like a badge of honor, yet feel like you're running on empty? In this episode of Sticky From The Inside, we tackle the cultural addiction to busyness and the heavy price it carries—with expert insight from Peggy Sullivan, author of Beyond Busyness. Peggy shares her three-step "Busy Busting Process" to help you eliminate low-value activities, create daily moments of joy, and align your life with what truly matters. She reveals how busyness is actually time poverty, stopping us from doing the things that bring joy, connection, and meaning. If you feel like you're on a hamster wheel, constantly chasing but never catching up, this episode is your wake-up call. Learn how to shift from busyness to balance, from exhaustion to energy, and from overwhelm to ownership of your time. ----more---- Key Takeaways Busyness is an addiction—We wear it like a badge of honor, but it robs us of time, energy, and joy. Learn how to break free from the busyness trap. Eliminate low-value activities—Peggy's "Subtraction" strategy helps you identify and remove tasks that drain your time without delivering value. Mojo-Making is essential—Happiness isn't a destination; it's a daily habit. Discover how to ignite energy, joy, and creativity through micro-moments. Align actions with values—Peggy's “Values Vibing” approach ensures you invest your time in what truly matters, turning time poverty into time wealth. ----more---- Key Moments The key moments in this episode are: 0:00:10 – Are You Addicted to Busyness? 0:04:38 – Peggy Sullivan's Story: From Busyness Addict to Time Wealth Advocate 0:11:43 – Why Busyness is an Addiction & How It Robs You of Joy 0:15:48 – The Hidden Costs of Busyness: Stress, Health, and Relationships 0:26:21 – The 3-Step Busy Busting Process: Subtraction, Mojo-Making & Values Vibing 0:32:00 – How to Identify & Eliminate Low-Value Activities 0:34:59 – The Neuroscience of Mojo-Making: How Small Joys Can Transform Your Energy 0:37:45 – Values Vibing: The Key to Time Wealth and a More Meaningful Life 0:42:11 – Peggy's Final Sticky Notes: Micro-Steps, Giving Generously & Continuous Growth ----more---- Join The Conversation Find Andy Goram on LinkedIn here Listen to the Podcast on YouTube here Follow the Podcast on Instagram here Follow the Podcast on Twitter here Follow the Podcast on Facebook here Check out the Bizjuicer website here Get a free consultation with Andy here Check out the Bizjuicer blog here Download the podcast here ----more---- Useful Links Follow Peggy Sullivan on LinkedIn here Find the Peggy's website here Find the "Beyond Busyness" book here ----more---- Full Episode Transcript Get the full transcript of the episode here

The Art Of Subtraction #RTTBROS #Nightlight The Art of Subtraction: Finding Life's Sweet Spot "Enter not into the path of the wicked, and go not in the way of evil men. Avoid it, pass not by it, turn from it, and pass away." - Proverbs 4:14-15 KJV Recently, I heard about a gardener who was asked the secret to growing such beautiful plants. His answer struck me with its profound simplicity: "I just remove anything that stops them from growing." This wisdom resonated deeply with my own journey of growth and purpose. Then I recalled my pastor mentor's practical insight: "You can have a good life and a good ministry if you just don't do dumb stuff." His words, though humorous, carry the same truth as the gardener's - sometimes the path to success is more about what we avoid than what we pursue. Like Solomon in Ecclesiastes, I've learned that life's greatest wisdom often lies in recognizing and avoiding dead-end streets. I've discovered that my most significant growth hasn't come from adding more activities or pursuits, but from intentionally eliminating those things that hinder my progress. Just as a gardener doesn't need to teach a plant how to grow - it knows inherently - I've realized that my role is often simply to remove the obstacles that block my natural development in God's plan. Whether it's unhealthy relationships, time-wasting habits, or draining commitments, each "pruning" creates space for new growth. Prayer: Father, give me discernment to recognize and courage to remove those things in my life that obstruct my growth toward Your purposes. Help me see clearly which paths to avoid and which to pursue. Amen. Today's Challenge: Identify one "dead-end street" in your life that's consuming resources without producing growth. What specific step can you take today to begin removing this obstacle? Be sure to Like, Share, Follow and subscribe it helps get the word out. https://linktr.ee/rttbros

Progress often starts with a purge. In today's episode, Kevin Palmieri and Alan Lazaros challenge the belief that success only comes from doing more. They discuss how eliminating distractions, bad habits, and unproductive routines can accelerate your progress. They also share personal experiences of sacrifice—whether it's giving up video games, changing diet habits, or reallocating time from leisure to meaningful goals._____________________NLU is not just a podcast; it's a gateway to a wealth of resources designed to help you achieve your goals and dreams. From our Next Level Dreamliner to our Group Coaching, we offer a variety of tools and communities to support your personal development journey.For more information, please check out our website at the link below.

Your Fast Track to Business Ownership. Join Codie for a 3-Day Interactive, Live, Virtual Event February 21-23, 2025! Claim your ticket here: https://contrarianthinking.co/msm-live/ In this episode, Codie Sanchez and Bill Perkins explore the intricate relationship between ego and wealth LIVE, emphasizing how our ego can hinder financial success. They discuss the importance of speed in decision-making and how taking risks is often more about managing ego than financial loss. They delve into team dynamics, highlighting the roles of visionaries and executors in business. Perkins shares insights on maximizing time and money, the necessity of aligning family goals with business ambitions, and the challenges of delegation and the importance of finding the right operators in business ventures. Chapters 00:00: Ego and Wealth: The Hidden Connection 02:50: The Importance of Speed in Decision Making 06:11: Risk: Ego vs. Financial Reality 09:04: Building Teams: The Role of Visionaries and Executors 11:52: Peak Utility of Time and Money 15:08: Aligning Family and Business Goals 17:54: Navigating Business Opportunities 23:57: The Depth of Personal Investment 24:57: Defining Personal Success and Fulfillment 25:56: Balancing Wealth and Life Experiences 27:46: The Importance of Shared Experiences 29:59: The Role of Wealth in Enjoying Life 31:11: Evolving Philosophies on Wealth and Fulfillment 32:10: The Power of Subtraction in Life 34:02: Finding and Managing Operators 36:10: Balancing Ego and Delegation 38:20: Taking Risks and Going Big 41:12: Memorable Investments and Experiences 44:01: Identifying Key Ingredients in People MORE FROM BIGDEAL:

The Pittsburgh Steelers fan base are expecting change, and most people believed the change which was talked about would be by subtraction. In other words, people losing their jobs. While that still could be the case, the longer the offseason drags on, the more unlikely it is that those changes will take place. But what if the changes which are on the horizon are more about addition than subtraction? That's what host Jeff Hartman dives into on the Friday episode of the "Let's Ride" podcast. Not just that, but Jeremy Betz joins for the All Betz Are Off segment, and the Hart to Heart. This podcast is a part of the Steel Curtain Network, a proud member of the Fans First Sports Network. Learn more about your ad choices. Visit megaphone.fm/adchoices

In this episode of "Rhythms That Restore," host Cherisse explores the theme of "Subtraction"- Letting Go of what weighs us down and is not serving our lives well. She emphasizes letting go of burdens and distractions to create space to listen and actually hear what the Lord has for us.  Drawing insights from previous episodes #45 with Allison Bradsher and Episode #44 with Kat Van Dusen. Cherisse discusses how "subtraction" can deepen our understanding of our identity as beloved children of God. She offers practical steps like identifying if and where we may have negative space in our lives, fasting, silence and simplifying lifestyles. Cherisse encourages listeners to confront internal attachments and create space for God, fostering a deeper relationship and reflecting His image in their lives. ------------------------------------------------------------------------------------------------ Interested in scheduling your own one on one Spiritual Direction Session with Allison Bradsher at The Retreat House Memphis? Allow her to hold the space for you, allow you to have a moment to slow down, a opporunity to just listen and have her their to help you discern with clarity.  Email Allison: allison@bfrlocal.com  ----------------------------------------------------------------------------------------------------- Need some more SPACE in your Schedule and want to learn more about these Spiritual Rhythms of Silence, Listening and Rest?  Join me on Friday Night Feb 7th and 8th for our Experience "ESBI Womens Retreat": Experience, Savor, Behold and Integrate held in Eads, Tn at The Retreat House Memphis.   Learn More, Register and Save your Spot: www.esbievents.com  -------------------------------------------------------------------------------------------------------- The theme of "subtraction" in spiritual journeys. The importance of saying yes to God's invitations. Letting go of burdens that hinder connection with God. Understanding identity as beloved children of God. The role of stillness and silence in spiritual growth. Practical steps for practicing subtraction in daily life. The significance of fasting and simplifying lifestyles. Evaluating relationships and their impact on spiritual well-being. Confronting and releasing negative emotions and habits. Creating space for God to fill our lives with love and peace. ------------------------------------------------------------------------------------------------------- Want to Connect with Cherisse, Email her what you are loving and learning or Share a Prayer Request: Cherissehixson@hotmail.com  Connect on Instagram @RhythmsThatRestorePodcast 

#572: At age 7, Dr. Jordan Grumet lost his father. This early loss shaped his career path — he became a physician, following in his dad's footsteps. But by 2010, feeling burned out from internal medicine, he took an unexpected turn: he became a hospice doctor. In this episode, Dr. Grumet joins us to discuss what he's learned from thousands of conversations with people in their final days.  These discussions have revealed a pattern: people don't typically regret their bank balance on their deathbed. Instead, they regret not pursuing the activities and dreams that truly lit them up. Dr. Grumet explains the difference between what he calls "Big P Purpose" versus "little p purpose." Big P Purpose involves major life goals like becoming president or curing cancer. Little p purpose, by contrast, focuses on the process — finding activities you enjoy regardless of the outcome.  He shares the story of a young professional who loved competitive cycling. While working a demanding nonprofit job, this person started fixing bikes at races on weekends. This side project combined his skills and passion, eventually creating enough income for him to reduce his full-time hours. Dr. Grumet introduces three key concepts for building more purpose into your life: - Joy of Addition: Add activities that excite you, even if just for 15 minutes daily - Art of Subtraction: Remove activities that drain you - Substitution: When you can't add or subtract, swap one activity for another He emphasizes that money isn't the only tool for creating change. Youth, energy, relationships, skills and community can be equally valuable resources. A 22-year-old might lack funds but has the advantage of time and stamina that a 51-year-old doesn't possess. Dr. Grumet references the Harvard Adult Developmental Health Study, which found that strong relationships — not achievements or money — most strongly correlate with happiness. He suggests that pursuing activities you enjoy naturally leads to building these vital connections. The episode closes with a powerful story about his grandfather, who loved math and became an accountant in the 1950s.  This passion influenced Dr. Grumet's mother to become a CPA, which in turn helped young Jordan develop confidence in math, despite his reading challenges. Years later, this mathematical thinking helped him diagnose a rabbi's rare condition — proving how small actions can create ripple effects across generations. Timestamps: Note: Timestamps will vary on individual listening devices based on dynamic advertising run times. The provided timestamps are approximate and may be several minutes off due to changing ad lengths. 0:00 Introduction to Dr. Grumet, hospice doctor discussing end-of-life insights 1:06 Transition from medicine to hospice as side hustle 2:21 Hospice shifts from medical to emotional care 4:12 Palliative care vs hospice care explained 5:05 Age range of hospice patients 6:55 Life priorities and deathbed regrets 13:46 Harvard Adult Developmental Health Study on happiness 20:00 Purpose, happiness and flow states 26:35 Joy of Addition and Art of Subtraction explained 33:30 Using youth when lacking money 41:18 Calendar evaluation strategies 48:45 Managing family disappointment 56:08 Regrets as purpose anchors 1:03:26 Common end-of-life regrets 1:09:06 Small actions, big legacy For more information, visit the show notes at https://affordanything.com/episode572 Learn more about your ad choices. Visit podcastchoices.com/adchoices

In this inspiring episode of the Hardcore Self Help Podcast, I sit down with Dr. Jordan Grumet, a hospice director, author, and podcast host, to explore how we can transform our lives by embracing the concept of “little p purpose.” Dr. Grumet shares insights from his latest book, The Purpose Code, which offers actionable strategies to uncover and build a meaningful life, regardless of your circumstances. Our conversation dives deep into the difference between “big P Purpose” (society's lofty, often unattainable ideals) and “little p purpose” (daily actions that bring joy and meaning). Dr. Grumet shares his personal journey—from losing his father at a young age to becoming a physician driven by unresolved trauma, to ultimately finding fulfillment by pursuing his passions for writing, speaking, and connecting with others. Key takeaways from our discussion include practical ways to recognize your purpose anchors, how to turn regrets into motivations, and why pursuing joy in small, intentional ways can lead to profound impact and lasting legacy. We also explore how Dr. Grumet's work in hospice has shaped his understanding of what truly matters in life, highlighting lessons from those at the end of their journeys. This episode is packed with wisdom for anyone feeling stuck, searching for meaning, or simply looking to live with more intentionality and joy. Sponsor This episode is brought to you by NOCD, a leading provider of virtual therapy for obsessive-compulsive disorder (OCD). If you're caught in an endless loop of “what-ifs” or struggling with obsessive thoughts and compulsive behaviors, NOCD offers specialized, evidence-based therapy designed just for OCD—Exposure and Response Prevention (ERP). They accept many major insurance plans, making it accessible and affordable, with support available between therapy sessions. Take the first step by visiting https://www.nocd.com to schedule a free 15-minute call with their team. Plus, check out my interview with Dr. Patrick McGrath, NOCD's Chief Clinical Officer, on episode 406 of this podcast to learn more about OCD and their approach. Chapters: 00:15 — Introduction: Meet Dr. Jordan Grumet 02:00 — Finding Purpose After Loss: Dr. Grumet's Early Life 06:15 — Purpose Anchors: Joyful Work vs. Goal-Oriented Burnout 10:45 — Lessons from the Hospice Life Review 16:30 — Regrets of the Dying: Turning Regret into Action 20:00 — Building Purpose When You Feel Stuck 24:15 — Tools and Levers: Joy of Addition and Art of Subtraction 30:00 — The Difference Between Meaning and Purpose 37:00 — How Small Joys Create Big Impact and Legacy 44:15 — Practical Steps to Start Building a Purposeful Life 50:30 — Final Takeaways: Finding Your Purpose Anchors About the Podcast I'm Dr. Robert Duff, a clinical psychologist and the host of the Hardcore Self Help Podcast. My mission is to break down complex mental health topics into relatable, actionable advice. Each episode dives deep into mental health, personal development, and strategies for living authentically and fulfilling your potential. Guest Links Dr. Grumet's Website: https://jordangrumet.com The Purpose Code: https://jordangrumet.com/books Podcast: https://www.earnandinvest.com/episodes Connect With Me: Website: https://duffthepsych.com Instagram: https://instagram.com/duffthepsych YouTube: https://youtube.com/duffthepsych #MentalHealth #Purpose #PersonalDevelopment #Legacy #SelfHelp #Mindfulness

Join us this Sunday as we explore the theme of "Addition by Subtraction" from Ephesians 4:22-24. As we embark on a new year, discover how releasing our old selves can create space for the transformative work God desires in us. We'll discuss how true change doesn't come from trying harder but from allowing God to renew our minds. Reflect on what you need to release and how you can better prepare to receive God's grace in 2025.

LEAVE A REVIEW if you liked this episode!! Let's Connect On Social Media! youtube.com/anthonyvicino twitter.com/anthonyvicino instagram.com/theanthonyvicino https://anthonyvicino.com Join an exclusive community of peak performers at Beyond the Apex University learning how to build a business, invest in real estate, and develop hyperfocus. www.beyondtheapex.com Learn More About Investing With Anthony Invictus Capital: www.invictusmultifamily.com Multifamily Investing Made Simple Podcast Passive Investing Made Simple Book: www.thepassiveinvestingbook.com

Vince shares three critical business predictions for 2025 and provides insights into the mindset necessary for scaling a business in this new economic and social media environment.➡️ Don't forget to DM Vince on IG to get a FREE 90 minute masterclass on reviewing your last 12 months so you can apply those lessons to the next 12 months.In this episode:0:00 Intro1:03 FREE GIFT2:50 Prediction 1: Subtraction is the Essence of Scaling5:05 Prediction 2: Passion Fuels Growth8:02 Prediction 3: Consistency Beats IntensityRESOURCES:The End Of Year Review ➡️ DM me here---⏯️ Learn How to Achieve Freedom From Fitness on My YouTube Channel: https://www.youtube.com/vincedelmonte

Welcome to another episode of the More Than Graphics podcast! In this episode, we, Danielle and Priscilla, dive deep into the theme of "vision" as we wrap up the year 2024 and look forward to 2025. We are thrilled to have Ben Albert, the owner of Balbert Marketing LLC and curator of the Real Business Connections Network, join us for an insightful conversation. In this episode of the More Than Graphics podcast, hosts Danielle and Priscilla celebrate the end of 2024 and reflect on the year's journey while looking ahead to 2025. They emphasize the importance of the discussions in this episode as foundational for future growth and inspiration. This episode highlights the excitement surrounding upcoming projects and the dynamic between technology and creativity in their lives. Join them as they wrap up the year with insights that bridge past experiences and future aspirations, underscoring the podcast's commitment to uplifting women and minorities in the tech and creative industries. 00:00:00 - Introduction and Welcome00:00:42 - Hosts Introduction00:01:04 - End of Year Reflections00:01:48 - Holiday Season and Personal Reflections00:03:09 - Episode Topic: Vision00:04:20 - Guest Introduction: Ben Albert00:05:08 - Defining Vision00:07:02 - Tunnel Vision and Broadening Horizons00:09:16 - Seeing vs. Visibility00:11:05 - Intention and Vision00:13:07 - Cheerleaders for Small Business00:14:08 - Personal Growth and Challenges00:17:15 - Pandemic Reflections and Career Shift00:19:26 - Marketing and Problem Solving00:20:26 - Early Life and Amplifying Voices00:24:00 - Imposter Syndrome00:27:16 - Subtraction for Clarity00:31:22 - End of Year Inventory00:33:39 - Sharing Personal Struggles00:34:23 - Challenges in Business Vision00:38:25 - Childhood Aspirations00:41:09 - Final Thoughts and Farewell00:43:50 - Call to Action and Closing Remarks FOLLOW BEN: About Ben + Press Appearances: https://realbusinessconnections.com/host/Balbert Marketing LLC: http://balbertmarketing.com/Real Business Connections Podcast: https://realbusinessconnections.com/Email:ben@balbertmarketing.comComplementary Consultation/ Meet and Greet:https://calendly.com/balbertmarketing/zoom30​​Linkedin:https://www.linkedin.com/in/realbenalbertFacebook:https://www.facebook.com/realbusinessconnectionshttps://www.facebook.com/balbertmarketingInstagram:https://www.instagram.com/realbenalbert/Youtube:https://www.youtube.com/@realbusinessconnections/videosApple Podcasts: https://podcasts.apple.com/us/podcast/real-business-connections-network/id1537115928Spotify:https://open.spotify.com/show/6GIUXbsHXx0OSgPFED1sg8?si=5294f3445d964e25 FOLLOW MTG: ⁠⁠mtgthepodcast.com⁠⁠ facebook.com/mtgthepodcast twitter.com/mtgthepodcast1 instagram.com/mtgthepodcast ⁠ CO-HOSTS IG: ⁠⁠@octanedesigns⁠⁠ / ⁠⁠@bougienursebabe⁠⁠ / ⁠⁠@getsillycreative⁠

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Episode Notes Our other episode with Simon Breakspear, “If It Doesn't Work for Teachers, It Doesn't Work” You can find great free tools (and order The Pruning Principle) at pruningprinciple.com Simon mentions Cal Newport. You can find out more about his “20% over capacity” principle in this blog post: What Would Happen If We Slowed Down? Come join us at Deeper Learning 2025!

Sermon Series: “The Incarnation: God's Unwavering Commitment to His World” Sermon Text: Luke 1:5-17, 76-79 Sermon Title: “Love Means Always Saying You're Sorry” Sermon Slides: SLIDE 1 – Sermon Title Slide SLIDE 2 – Today's Big Idea: True Love Means True Repentance. But True Repentance Isn't our Chore … it's God's Grace! SLIDE 3 – Point 1: God's Unwavering Commitment … Sends His True Prophet. (Lk. 1:5-17) SLIDE 4 – 1 Chronicles 24:1-8 – “The divisions of the sons of Aaron were these. The sons of Aaron: Nadab, Abihu, Eleazar, and Ithamar. But Nadab and Abihu died before their father and had no children, so Eleazar and Ithamar became the priests … David organized them according to the appointed duties in their service … They divided them by lot, all alike, for there were sacred officers and officers of God … the eighth [lot fell] to Abijah.” SLIDE 5 – Insert a Copy of Point #1 of Sermon SLIDE 6 – Numbers 6:1-3 – “And the Lord spoke to Moses, saying, ‘Speak to the people of Israel and say to them, When either a man or a woman makes … the vow of a Nazirite, to separate himself to the Lord, he shall separate himself from wine and strong drink.” SLIDE 7 – Ephesians 5:18 – “Do not get drunk with wine, for that is debauchery, but be filled with the Spirit.” SLIDE 8 – Insert a Copy of Point #1 of Sermon SLIDE 9 – Point 2: God's Uncompromising Communion … Requires Our True Repentance. (Lk. 1:76-79) SLIDE 10 – Romans 12:1 – “I appeal to you therefore … by the mercies of God, to present your bodies as a living sacrifice, holy and acceptable to God, which is your spiritual worship.” SLIDE 11 – Romans 2:4 – “Do you presume on the riches of his kindness … not knowing that God's kindness is meant to lead you to repentance?” SLIDE 12 – Insert a Copy of Point #2 of Sermon SLIDE 13 – 2 Corinthians 7:10 – “For godly grief produces a repentance that leads to salvation without regret, whereas worldly grief produces death.” SLIDE 14 – Four Uses of This Sermon for Our Church and Lives. SLIDE 15 – Christmas Isn't About Sentiment … It's About Our Salvation. SLIDE 16 – Our Relationship with God Comes by Subtraction, not Just Addition. SLIDE 17 – Where Do We Need to Repent … To Prepare this Advent? SLIDE 18 – John is God's Preparation … for Jesus, God's Incarnation.

Assistant Pastor, Emily Olson, finishes the series talking about how removing distractions from our lives will add the room needed for the things that really matter.

For the sixth installment of my "Learn How to Learn" Deep Dive, we're tackling a counterintuitive truth: sometimes the key to growth isn't what you learn, but what you unlearn.Western thinking often focuses on addition and accumulation. But subtraction might actually be the missing piece in your growth journey. From outdated coping mechanisms to limiting self-beliefs, learn how to identify what's no longer serving you. Most importantly, discover why being wrong feels exactly like being right -- and how this insight can transform your approach to personal growth. You'll hear all about how I had to learn these truths the hard way, and it wasn't always easy. If you can apply these principles now, the faster you'll be able to skyrocket your learning and personal growth.It's time to embrace unlearning as a crucial part of your learning journey.---P.S.: If you have a brand, and you want to learn exactly how to transform it into a game-changer in your industry, then Legendary Brands Academy was made with you in mind. The online program will teach you the same exact systems and strategies we've been using to transform brands for the past 20 years. No more wishing things could be different -- no more theorizing without action -- no more saying "that's for other brands, but not for me." With Legendary Brands Academy, everything is designed for you to take action and see transformation in real time. You'll learn the step-by-step systems you can begin to implement today. So if you're ready to see real change, real results, and real Raving Fans for your brand, then you can check out Legendary Brands Academy here: www.LegendaryBrandsAcademy.com---Sign up to have Scott email you a weekly shot of energy, with 1 Cool Quote, 1 Deep Thought, and 1 Useful Tool. This is original content, not a repost of the podcast. You can find the sign-up section at the bottom of my website www.ScottWozniak.com Learn how Scott and his team of consultants can help you build a legendary brand at www.SwozConsulting.com Connect with Scott on social media: linkedin.com/in/scottwozniak/https://www.facebook.com/scottewozniak------  Bonus: check out his other podcast (Alpha Pack): https://kite.link/alpha-pack-podcast If you like this podcast you will probably like that one, too. Who knows, you might even like it better! :)  Hosted by Ausha. See ausha.co/privacy-policy for more information.

Getting rid of the Department of Education is a great idea.

This weekend, see how God's strength shines through our weakness and learn how to trust him fully in every battle of life.c

Hour 3 - During the third hour of the Jones and Keefe show the guys discuss Jerod Mayo's press conference and make an assessment as to how badly he stepped in it this time. First, addition by subtraction... what does this mean? Is it a shot towards Wolf or Kraft? Then, Mayo was also asked about whether or not all Patriots coaches will remain on staff for the rest of the season. Listen to our reaction here.

This is the worst wide receiver room in the league and this is Eliot Wolf's fault. There are a lot of different avenues that you can go down in the offseason to get wide receivers. Addition by subtraction? What on earth does that even mean? The Patriots PR person is probably going nuts about this. Why does he keep grunting when he sits down? We will continue to make fun of that. Did Boutte have a lack of effort on the final play? Who will stay in the lineup?

In this episode, I talk about creativity being a process of elimination and expansion at the same time, setting constraints, removing unnecessary elements in your work to reveal the core ideas, clearing out distractions, expanding through simplicity, focusing on essentials and more.SETH GODIN INTERVIEW: https://youtu.be/AZeCxY5yHUY?si=4dZfQvYnufsa5HtX CONNECT WITH ME…→ Instagram — @mattgottesman→ Text Me — 480-530-7352→ My Substack — mattgottesman.substack.com → Apparel — thenicheisyou.comRESOURCES…→ Recommended Book List — CLICK HERE→ Workshops — CLICK HERE→ Masterclass — CLICK HEREWORKSHOPS + MASTERCLASS:→ Need MORE clarity? - Here's the FREE… 6 Days to Clarity Workshop - clarity for your time, energy, money, creativity, work & play→ Write, Design, Build: Content Creator Studio & OS - Growing the niche of you, your audience, reach, voice, passion & incomeOTHER RELATED EPISODES:Less is a Luxury… It's Also a True Lesson in AbundanceApple: https://apple.co/4hq1TBY Spotify: https://spoti.fi/3Atmvsv

Addition by subtraction - Do any of the Patriots receivers have trade value?

Rounding Up Season 3 | Episode 4 – Making Sense of Unitizing: The Theme That Runs Through Elementary Mathematics Guest: Beth Hulbert Mike Wallus: During their elementary years, students grapple with many topics that involve relationships between different units. This concept, called “unitizing,” serves as a foundation for much of the mathematics that students encounter during their elementary years. Today, we're talking with Beth Hulbert from the Ongoing Assessment Project (OGAP) about the ways educators can encourage unitizing in their classrooms.  Welcome to the podcast, Beth. We are really excited to talk with you today. Beth Hulbert: Thanks. I'm really excited to be here. Mike: I'm wondering if we can start with a fairly basic question: Can you explain OGAP and the mission of the organization? Beth: Sure. So, OGAP stands for the Ongoing Assessment Project, and it started with a grant from the National Science Foundation to develop tools and resources for teachers to use in their classroom during math that were formative in nature. And we began with fractions. And the primary goal was to read, distill, and make the research accessible to classroom teachers, and at the same time develop tools and strategies that we could share with teachers that they could use to enhance whatever math program materials they were using. Essentially, we started by developing materials, but it turned into professional development because we realized teachers didn't have a lot of opportunity to think deeply about the content at the level they teach. The more we dug into that content, the more it became clear to us that content was complicated. It was complicated to understand, it was complicated to teach, and it was complicated to learn. So, we started with fractions, and we expanded to do work in multiplicative reasoning and then additive reasoning and proportional reasoning. And those cover the vast majority of the critical content in K–8. And our professional development is really focused on helping teachers understand how to use formative assessment effectively in their classroom. But also, our other goals are to give teachers a deep understanding of the content and an understanding of the math ed research, and then some support and strategies for using whatever program materials they want to use. And we say all the time that we're a program blind—we don't have any skin in the game about what program people are using. We are more interested in making people really effective users of their math program.  Mike: I want to ask a quick follow-up to that. When you think about the lived experience that educators have when they go through OGAP's training, what are the features that you think have an impact on teachers when they go back into their classrooms?  Beth: Well, we have learning progressions in each of those four content strands. And learning progressions are maps of how students acquire the concepts related to, say, multiplicative reasoning or additive reasoning. And we use those to sort, analyze, and decide how we're going to respond to evidence in student work. They're really maps for equity and access, and they help teachers understand that there are multiple right ways to do some mathematics, but they're not all equal in efficiency and sophistication. Another piece they take away of significant value is we have an item bank full of hundreds of short tasks that are meant to add value to, say, a lesson you taught in your math program. So, you teach a lesson, and you decide what is the primary goal of this lesson. And we all know no matter what the program is you're using that every lesson has multiple goals, and they're all in varying degrees of importance. So partly, picking an item in our item bank is about helping yourself think about what was the most critical piece of that lesson that I want to know about that's critical for my students to understand for success tomorrow.  Mike: So, one big idea that runs through your work with teachers is this concept called “unitizing.” And it struck me that whether we're talking about addition, subtraction, multiplication, fractions, that this idea just keeps coming back and keeps coming up. I'm wondering if you could offer a brief definition of unitizing for folks who may not have heard that term before.  Beth: Sure. It became really clear as we read the research and thought about where the struggles kids have, that unitizing is at the core of a lot of struggles that students have. So, unitizing is the ability to call something 1, say, but know it's worth maybe 1 or 100 or a 1,000, or even one-tenth. So, think about your numbers in a place value system. In our base 10 system, 1 of 1 is in the tenths place. It's not worth 1 anymore, it's worth 1 of 10. And so that idea that the 1 isn't the value of its face value, but it's the value of its place in that system. So, base 10 is one of the first big ways that kids have to understand unitizing. Another kind of unitizing would be money. Money's a really nice example of unitizing. So, I can see one thing, it's called a nickel, but it's worth 5. And I can see one thing that's smaller, and it's called a dime, and it's worth 10. And so, the idea that 1 would be worth 5 and 1 would be worth 10, that's unitizing. And it's an abstract idea, but it provides the foundation for pretty much everything kids are going to learn from first grade on. And when you hear that kids are struggling, say, in third and fourth grade, I promise you that one of their fundamental struggles is a unitizing struggle.  Mike: Well, let's start where you all started when you began this work in OGAP. Let's start with multiplication. Can you talk a little bit about how this notion of unitizing plays out in the context of multiplication?  Beth: Sure. In multiplication, one of the first ways you think about unitizing is, say, in the example of 3 times 4. One of those numbers is a unit or a composite unit, and the other number is how many times you copy or iterate that unit. So, your composite unit in that case could be 3, and you're going to repeat or iterate it four times. Or your composite unit could be 4, and you're going to repeat or iterate it three times. When I was in school, the teacher wrote 3 times 4 up on the board and she said, “Three tells you how many groups you have, and 4 tells you how many you put in each group.” But if you think about the process you go through when you draw that in that definition, you draw 1, 2, 3 circles, then you go 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4. And in creating that model, you never once thought about a unit, you thought about single items in a group.  So, you counted 1, 2, 3, 4, three times, and there was never really any thought about the unit. In a composite unit way of thinking about it, you would say, “I have a composite unit of 3, and I'm going to replicate it four times.” And in that case, every time, say, you stamped that—you had this stamp that was 3—every time you stamped it, that one action would mean 3, right? One to 3, 1 to 3, 1 to 3, 1 to 3. So, in really early number work, kids think 1 to 1. When little kids are counting a small quantity, they'll count 1, 2, 3, 4. But what we want them to think about in multiplication is a many-to-1 action. When each of those quantities happens, it's not one thing, even though you make one action, it's four things or three things, depending upon what your unit is. If you needed 3 times 8, you could take your 3 times 4 and add 4 more, 3 times 4s to that.  So, you have your four 3s and now you need four more 3s. And that allows you to use a fact to get a fact you don't know because you've got that unit and that understanding that it's not by 1, but by a unit. When gets to larger multiplication, we don't really want to be working by drawing by 1s, and we don't even want to be stamping 27 19 times. But it's a first step into multiplication. This idea that you have a composite unit, and in the case of 3 times 4 and 3 times 7, seeing that 3 is common. So, there's your common composite unit. You needed four of them for 3 times 4, and you need seven of them for 3 times 7. So, it allows you to see those relationships, which if you look at the standards, the relationships are the glue. So, it's not enough to memorize your multiplication facts. If you don't have a strong relationship understanding there, it does fall short of a depth of understanding.  Mike: I think it was interesting to hear you talk about that, Beth, because one of the things that struck me is some of the language that you used, and I was comparing it in my head to some of the language that I've used in the past. So, I know I've talked about 3 times 4, but I thought it was really interesting how you used iterations of or duplicated …  Beth: Copies.  Mike: … or copies, right? What you make me think is that those language choices are a little bit clearer. I can visualize them in a way that 3 times 4 is a little bit more abstract or obscure. I may be thinking of that wrong, but I'm curious how you think the language that you use when you're trying to get kids to think about composite numbers matters.  Beth: Well, I'll say this, that when you draw your 3 circles and count 4 dots in each circle, the result is the same model than if you thought of it as a unit of 3 stamped four times. In the end, the model looks the same, but the physical and mental process you went through is significantly different. So, you thought when you drew every dot, you were thinking about 1, 1, 1, 1, 1, 1, 1. When you thought about your composite unit copied or iterated, you thought about this unit being repeated over and over. And that changes the way you're even thinking about what those numbers mean. And one of those big, significant things that makes addition different than multiplication when you look at equations is, in addition, those numbers mean the same thing. You have 3 things, and you have 4 things, and you're going to put them together. If you had 3 plus 4, and you changed that 4 to a 5, you're going to change one of your quantities by 1, impacting your answer by 1. In multiplication, if you had 3 times 4, and you change that 4 to a 5, your factor increases by 1, but your product increases by the value of your composite unit. So, it's a change of the other factor. And that is significant change in how you think about multiplication, and it allows you to pave the way, essentially, to proportional reasoning, which is that replicating your unit.  Mike: One of the things I'd appreciated about what you said was it's a change in how you're thinking. Because when I think back to Mike Wallus, classroom teacher, I don't know that I understood that as my work. What I thought of my work at that point in time was I need to teach kids how to use an algorithm or how to get an answer. But I think where you're really leading is we really need to be attending to, “What's the thinking that underlies whatever is happening?”  Beth: Yes. And that's what our work is all about, is how do you give teachers a sort of lens into or a look into how kids are thinking and how that impacts whether they can employ more efficient and sophisticated relationships and strategies in their thinking. And it's not enough to know your multiplication facts. And the research is pretty clear on the fact that memorizing is difficult. If you're memorizing a hundred single facts just by memory, the likelihood you're not going to remember some is high. But if you understand the relationship between those numbers, then you can use your 3 times 4 to get your 3 times 5 or your 3 times 8. So, the language that you use is important, and the way you leave kids thinking about something is important. And this idea of the composite unit, it's thematic, right? It goes through fractions and additive and proportional, but it's not the only definition of multiplication. So, you've got to also think of multiplication as scaling that comes later, but you also have to think of multiplication as area and as dimensions. But that first experience with multiplication has to be that composite-unit experience.  Mike: You've got me thinking already about how these ideas around unitizing that students can start to make sense of when they're multiplying whole numbers, that that would have a significant impact when they started to think about fractions or rational numbers. Can you talk a little bit about unitizing in the context of fractions, Beth?  Beth: Sure. The fraction standards have been most difficult for teachers to get their heads around because the way that the standards promote thinking about fractions is significantly different than the way most of us were taught fractions. So, in the standards and in the research, you come across the term “unit fraction,” and you can probably recognize the unitizing piece in the unit fraction. So, a unit fraction is a fraction where 1 is in the numerator, it's one unit of a fraction. So, in the case of three-fourths, you have three of the one-fourths. Now, this is a bit of a shift in how we were taught. Most of us were taught, “Oh, we have three-fourths. It means you have four things, but you only keep three of them,” right? We learned about the name “numerator” and the name “denominator.” And, of course, we know in fractions, in particular, kids really struggle.  Adults really struggle. Fractions are difficult because they seem to be a set of numbers that don't have anything in common with any other numbers. But once you start to think about unitizing and that composite unit, there's a standard in third grade that talks about “decompose any fraction into the sum of unit fractions.” So, in the case of five-sixths, you would identify the unit fraction as one-sixth, and you would have 5 of those one-sixths. So, your unit fraction is one-sixth, and you're going to iterate it or copy it or repeat it five times.  Mike: I can hear the parallels between the way you described this work with whole numbers. I have one-fourth, and I've duplicated or copied that five times, and that's what five-fourths is. It feels really helpful to see the through line between how we think about helping kids think about composite numbers and multiplying with whole numbers, to what you just described with unit fractions.  Beth: Yeah, and even the language that language infractions is similar, too. So, you talk about that 5 one-fourths. You decompose the five-fourths into 5 of the one-fourths, or you recompose those 5 one-fourths. This is a fourth-grade standard. You recompose those 5 one-fourths into 3 one-fourths or three-fourths and 2 one-fourths or two-fourths. So, even reading a fraction like seven-eighths says 7 one-eighths, helps to really understand what that seven-eighths means, and it keeps you from reading it as seven out of eight. Because when you read a fraction as seven out of eight, it sounds like you're talking about a whole number over another whole number. And so again, that connection to the composite unit in multiplication extends to that composite unit or that unit fraction or unitizing in multiplication. And really, even when we talk about multiplying fractions, we talk about multiplying, say, a whole number times a fraction “5 times one-fourth.” That would be the same as saying, “I'm going to repeat one-fourth five times,” as opposed to, we were told, “Put a 1 under the 5 and multiply across the numerator and multiply across the denominator.” But that didn't help kids really understand what was happening.  Mike: So, this progression of ideas that we've talked about from multiplication to fractions, what you've got me thinking about is, what does it mean to think about unitizing with younger kids, particularly perhaps, kids in kindergarten, first or second grade? I'm wondering how or what you think educators could do to draw out the big ideas about units and unitizing with students in those grade levels?  Beth: Well, really we don't expect kindergartners to strictly unitize because it's a relatively abstract idea. The big focus in kindergarten is for a student to understand four means 4, four 1s, and 7 means seven 1s. But where we do unitize is in the use of our models in early grades. In kindergarten, the use of a five-frame or a ten-frame. So, let's use the ten-frame to count by tens: 10, 20, 30. And then, how many ten-frames did it take us to count to 30? It took 3. There's the beginning of your unitizing idea. The idea that we would say, “It took 3 of the ten-frames to make 30” is really starting to plant that idea of unitizing 3 can mean 30. And in first grade, when we start to expose kids to coin values, time, telling time, one of the examples we use is, “Whenever was 1 minus 1, 59?” And that was, “When you read for one hour and your friend read for 1 minute less than you, how long did they read?”  So, all time is really a unitizing idea. So, all measures, measure conversion, time, money, and the big one in first grade is base 10. And first grade and second grade [have] the opportunity to solidify strong base 10 so that when kids enter third grade, they've already developed a concept of unitizing within the base 10 system. In first grade, the idea that in a number like 78, the 7 is actually worth more than the 8, even though at face value, the 7 seems less than the 8. The idea that 7 is greater than the 8 in a number like 78 is unitizing. In second grade, when we have a number like 378, we can unitize that into 307 tens and 8 ones, or 37 tens and 8 ones, and there's your re-unitizing. And that's actually a standard in second grade. Or 378 ones. So, in first and second grade, really what teachers have to commit to is developing really strong, flexible base 10 understanding. Because that's the first place kids have to struggle with this idea of the face value of a number isn't the same as the place value of a number.  Mike: Yeah, yeah. So, my question is, would you describe that as the seeds of unitizing? Like conserving? That's the thing that popped into my head, is maybe that's what I'm actually starting to do when I'm trying to get kids to go from counting each individual 1 and naming the total when they say the last 1.  Beth: So, there are some early number concepts that need to be solidified for kids to be able to unitize, right? So, conservation is certainly one of them. And we work on conservation all throughout elementary school. As numbers get larger, as they have different features to them, they're more complex. Conservation doesn't get fixed in kindergarten. It's just pre-K and K are the places where we start to build that really early understanding with small quantities. There's cardinality, hierarchical inclusion, those are all concepts that we focus on and develop in the earliest grades that feed into a child's ability to unitize. So, the thing about unitizing that happens in the earliest grades is it's pretty informal. In pre-K and K, you might make piles of 10, you might count quantities. Counting collections is something we talk a lot about, and we talk a lot about the importance of counting in early math instruction actually all the way up through, but particularly in early math. And let's say you had a group of kids, and they were counting out piles of, say, 45 things, and they put them in piles of 10 and then a pile of 5, and they were able to go back and say, “Ten, 20, 30, 40 and 5.”  So, there's a lot that's happening there. So, one is, they're able to make those piles of 10, so they could count to 10. But the other one is, they have conservation. And the other one is, they have a rope-count sequence that got developed outside of this use of that rope-count sequence, and now they're applying that. So, there's so many balls in the air when a student can do something like that. The unitizing question would be, “You counted 45 things. How many piles of 10 did you have?” There's your unitizing question. In kindergarten, there are students—even though we say it's not something we work on in kindergarten—there are certainly students who could look at that and say, “Forty-give is 4 piles of 10 and 5 extra.” So, when I say we don't really do it in kindergarten, we have exposure, but it's very relaxed. It becomes a lot more significant in first and second grade.  Mike: You said earlier that teachers in first and second grade really have to commit to building a flexible understanding of base 10. What I wanted to ask you is, how would you describe that? And the reason I ask is, I also think it's possible to build an inflexible understanding of base 10. So, I wonder how you would differentiate between the kind of practices that might lead to a relatively inflexible understanding of base 10 versus the kind of practices that lead to a more flexible understanding.  Beth: So, I think counting collections. I already said we talk a lot about counting collections and the primary training. Having kids count things and make groups of 10, focus on your 10 and your 5. We tell kindergarten teachers that the first month or two of school, the most important number you learn is 5. It's not 10, because our brain likes 5, and we can manage 5 easily. Our hand is very helpful. So, building that unit of 5 toward putting two 5s together to make a 10. I mean, I have a 3-year-old granddaughter, and she knows 5, and she knows that she can hold up both her hands and show me 10. But if she had to show me 7, she would actually start back at 1 and count up to 7. So, taking advantage of those units that are baked in already and focusing on them helps in the earliest grades.  And then really, I like materials to go into kids' hands where they're doing the building. I feel like second grade is a great time to hand kids base 10 blocks, but first grade is not. And first-grade kids should be snapping cubes together and building their own units, because the more they build their own units of 5 or 10, the more it's meaningful and useful for them. The other thing I'm going to say, and Bridges has this as a tool, which I really like, is they have dark lines at their 5s and 10s on their base 10 blocks. And that helps, even though people are going to say, “Kids can tell you it's a hundred,” they didn't build it. And so, there's a leap of faith there that is an abstraction that we take for granted. So, what we want is kids using those manipulatives in ways that they constructed those groupings, and that helps a lot. Also, no operations for addition and subtraction. You shouldn't be adding and subtracting without using base 10. So, adding and subtracting on a number line helps you practice not just addition and subtraction, but also base 10. So, because base 10's so important, it could be taught all year long in second grade with everything you do. We call second grade the sweet spot of math because all the most important math can be taught together in second grade.  Mike: One of the things that you made me think about is something that a colleague said, which is this idea that 10 is simultaneously 10 ones and one unit of 10. And I really connect that with what you said about the need for kids to actually, physically build the units in first grade.  Beth: What you just said, that's unitizing. I can call this 10 ones, and I can call this 1, worth 10. And it's more in face in the earliest grades because we often are very comfortable having kids make piles of 10 things or seeing the marks on a base 10 block, say. Or snapping 10 Unifix cubes together, 5 red and 5 yellow Unifix cubes or something to see those two 5s inside that unit of 10. And then also there's your math hand, your fives and your tens and your ten-frames are your fives and your tens. So, we take full advantage of that. But as kids get older, the math that's going to happen is going to rely on kids already coming wired with that concept. And if we don't push it in those early grades by putting your hands on things and building them and sketching what you've just built and transferring it to the pictorial and the abstract in very strategic ways, then you could go a long way and look like you know what you're doing—but don't really. Base 10 is one of those ways we think, because kids can tell you the 7 is in the tens place, they really understand. But the reality is that's a low bar, and it probably isn't an indication a student really understands. There's a lot more to ask.  Mike: Well, I think that's a good place for my next question, which is to ask you what resources OGAP has available, either for someone who might participate in the training, other kinds of resources. Could you just unpack the resources, the training, the other things that OGAP has available, and perhaps how people could learn more about it or be in touch if they were interested in training?  Beth: Sure. Well, if they want to be in touch, they can go to ogapmathllc.com, and that's our website. And there's a link there to send us a message, and we are really good at getting back to people. We've written books on each of our four content strands. The titles of all those books are “A Focus on … .” So, we have “A Focus on Addition and Subtraction,” “A Focus on Multiplication and Division,” “A Focus on Fractions,” “A Focus on Ratios and Proportions,” and you can buy them on Amazon. Our progressions are readily available on our website. You can look around on our website, and all our progressions are there so people can have access to those. We do training all over. We don't do any open training. In other words, we only do training with districts who want to do the work with more than just one person. So, we contract with districts and work with them directly. We help districts use their math program. Some of the follow-up work we've done is help them see the possibilities within their program, help them look at their program and see how they might need to add more. And once people come to training, they have access to all our resources, the item bank, the progressions, the training, the book, all that stuff.  Mike: So, listeners, know that we're going to add links to the resources that Beth is referencing to the show notes for this particular episode. And, Beth, I want to just say thank you so much for this really interesting conversation. I'm so glad we had a chance to talk with you today.  Beth: Well, I'm really happy to talk to you, so it was a good time.  Mike: Fantastic.  Mike: This podcast is brought to you by The Math Learning Center and the Maier Math Foundation, dedicated to inspiring and enabling all individuals to discover and develop their mathematical confidence and ability. © 2024 The Math Learning Center | www.mathlearningcenter.org

A thought that has recently come to me is how much my focus on adding to myself in order to become better is only half of the equation. It is also important that I subtract some things from my life as well. Join me today as I dig a little deeper into this thought.“No matter what or where you came from, great things can come from you!”Thank you for listening! Click here to leave a message to let me know what you think & how this episode impacted you.

This episode with Blake Elarbee is all about evidence-based coaching, nutrition + a discussion around common trends in the health space right now. Topics discussed:-Why is the 'anti-science' movement so appealing?-Recent 'American Health + Nutrition Roundtable' - takeaways/disappointments.-US Dietary Guidelines - what percentage of Americans actually follow them? -Diet soda vs regular soda - which is better? -Evidence-based coaching - what it is/isn't.-Thinking about what you can 'add' vs always thinking about subtraction.-Why nutrition has become more about politics instead of science. -Food dyes, additives and individual ingredients - is that what we should be focusing on?+ so many more side tangents in-between. I loved this convo and I know you will too. Where to find Blake:IG: @blakelosangelesWhere to find me:IG: @lukesmithrdCheck out my website HERETIA for listening!

Listen to weekly sermons from Velocity Church in Lawrence, KS. Velocity is a vision-fueled and faith-filled community changing lives and transforming a city with the message of Jesus. For more information visit www.findvelocity.org

In this episode, Scott Becker explores the concept of “addition by subtraction,” highlighting how removing underperforming employees or firms can benefit a business’s bottom line. He also discusses the importance of building strong, indispensable teams, while reallocating resources to the most productive areas of the company for sustained growth.

This season, every episode of OMG focuses on a question that directors really need to answer. OMG is written, produced, narrated and scored by Matt Fullbrook.   TRANSCRIPT: Question #26: How might subtraction help to solve our stickiest issues? Back in episode 189, I talked about the amazing work by Leidy Klotz and others on a cognitive bias called “subtraction neglect”. Basically, subtraction neglect describes that our brains find it really easy to consider solutions to problems that involve adding stuff and really hard to think of solutions that involve taking things away. Unlike most cognitive biases, we can short circuit subtraction neglect just by asking “how might we solve this problem through subtraction?” So that's what I'm urging you to do in today's episode. Think of a typical board meeting – and I don't care if your meetings are one hour long or three days long – I think it's safe to assume that you discuss approximately two important problems per hour. Maybe more, maybe less, but two-ish on average. Every single one of those problems will be compromised by subtraction neglect. Even more important are the problems that you've put up with forever – maybe you even assume they *can't* be solved. Things like information overload or getting stuck in the weeds or whatever. Instinctively, we can see that trying to solve those problems through addition could sorta work, but will probably unintentionally make things a bit worse. But if we get into the habit of asking “how might we solve this problem through subtraction?” We're opening ourselves to a whole new world of ideas.

Dr. Jordan Grumet is the podcast host of Earn and Invest and author of "Taking Stock: A Hospice Doctor's Advice on Financial Independence, Building Wealth and Living a Regret-Free Life." He reflects on his hospice patients and own experiences, which taught him the importance of finding those things that fill your cup and bring you joy. We talk about finding the balance between building our finances and living life intentionally.  He shares his philosophy on the Art of Subtraction, Joy of Addition and Need for Substitution when navigating through life. You can learn more about Jordan or listen to his podcast by going to www.JordanGrumet.com.