The Build Math Minds Podcast

In this episode, I'm making a confession: there's a free, research-backed guide for helping struggling math students that I haven't done a good job of telling you about and I've found that most educators have never even heard of. It's the 2021 Institute of Education Sciences and What Works Clearinghouse practice guide, Assisting Students Struggling with Mathematics, and all six of its recommendations earned the WWC's highest rating: Strong Evidence. I share why this guide stands apart from the usual opinion-driven debates in elementary math, give you a quick tour of what's inside (including one recommendation guaranteed to raise some eyebrows), and explain why working through it together as a summer book study beats reading the PDF alone. If you want a clear, evidence-based picture of what actually helps your struggling students before the school year starts, consider this your invitation. Join the free 3-week summer book study: https://buildmathminds.com/bookstudy26

After 26 years, Susan Jo Russell's three-part definition of math fluency - accuracy, efficiency, and flexibility - is finally making its way into state math standards. In this episode, I'm celebrating this long-overdue shift, highlighting recent updates in Washington State and Iowa that now explicitly include flexibility alongside accuracy and efficiency in their fluency standards. Using a relatable cooking analogy, I break down why flexibility isn't just nice-to-have - it's the difference between students who can only follow a procedure and students who can truly think mathematically. I also share where you can learn more to help you make this shift in your own classroom, school, district, or even your state. Let me know whether your state has made this change, head to the comments to let me know where you and your state stands!

After 10 years of running the Virtual Math Summit, here's what I've learned: what matters isn't the objective you planned. It's the residue - what actually gets left behind once it's over.  My objective in creating the summit all those years ago was to help you build your math mind…but the residue isn't always something about the mathematics. Last weekend we wrapped up the 10th annual Virtual Math Summit. Over a million minutes of PD watched in just two days. And this week I went through the survey results to find out what residue people were actually taking away. In this episode I share the six themes that kept showing up - from the power of listening to student thinking, to the confidence to just start implementing now even when you don't feel ready, to what the neuroscience of math actually tells us about how kids learn. I also share one form of residue that I never thought about when I started the summit, but it might just be the most important. Sessions are still free through Monday, March 9th at 10pm Pacific. Go to VirtualMathSummit.com to register and I'll send you the link to watch the replays before they come down.

Most educators who want math to be taught conceptually are the only one in their building trying to do it. They go to a workshop, get excited, and come back on Monday to a team still teaching algorithms and admin who wants scores to go up. The excitement fades and not because the idea was wrong, but because doing hard things alone is exhausting. In this episode, the last one before the 10th annual Virtual Math Summit, I talk about why that isolation is the real barrier to change in math classrooms, and why community matters more than information. I also share what I've seen happen over 10 years of the summit: the thing educators say most isn't "I learned a great strategy." It's "I finally felt like I wasn't the only one." So pick your one thing you want to learn about and get registered for the 2026 Virtual Math Summit (Feb 28 – Mar 1) so you can find your community. There are 34 free sessions, keynotes from Dr. Kristopher Childs, Dr. Raj Shah, Pam Harris, and Graham Fletcher, free Brainingcamp access for all registrants, and giveaways during live sessions. Register free at VirtualMathSummit.com

The CRA Model isn't a linear path. It's a Venn diagram. And when you hit the Sweet Spot, where concrete, representational, and abstract all overlap, that's when the magic happens. In this episode, I'm revisiting one of my favorite topics and showing you why hands-on and visual learning matter MORE than ever for upper elementary students. Two examples of the CRA Sweet Spot: Early elementary: 7 + 8 on a Rekenrek (concrete) → drawing it on a number path (representational) → writing the equation (abstract) Upper elementary: 3 × 1/4 with fraction tiles (concrete) → drawing rectangles or number lines (representational) → symbolic notation (abstract) Why manipulatives aren't just for little kids: Upper elementary is when math gets MORE abstract. But if students don't have concrete and visual experiences to anchor their understanding, they end up memorizing procedures without knowing what they mean. How to normalize manipulatives: Don't make them optional or "for struggling students only." Make them available for everyone. Model using them yourself. Show students that even YOU use tools to think through problems. Tools that help: Brainingcamp (digital manipulatives) - All Virtual Math Summit registrants get 6 months FREE access Didax (physical manipulatives) - Celebrating 50 years! Giveaways during live summit sessions The CRA Sweet Spot isn't just for younger kids. It's for upper elementary too. Don't skip the connections, that's what makes the learning stick! Virtual Math Summit (Feb 28-Mar 1): 34 FREE sessions Sessions from John SanGiovanni, Ryan Dougherty, Sara VanDerWerf & Nina Smith Brainingcamp 6 months free access for all registrants Didax giveaways during live sessions (must be present to win) 10 Build Math Minds memberships given away during live sessions Register at VirtualMathSummit.com to learn from experts to help you incorporate more of the CRA into the classrooms.

Building Thinking Classrooms is powerful—but when teachers try to implement all 14 practices at once, it falls apart. In this episode, I share a better approach for math coaches: focus on ONE practice based on what your teachers actually want to improve. I walk through why the "all at once" approach backfires, how to choose which practice to start with, and how to build incrementally so changes actually stick. Plus, I'm sharing three sessions at our free Virtual Math Summit that dig deeper into BTC—including a session from Peter Liljedahl himself specifically for math coaches on navigating the messy middle of implementation, Maegan Giroux on what kindergartners taught her about thinking classrooms, and Tammy McMorrow on building math identity and belonging. Register for free at VirtualMathSummit.com 

In this episode I'm saying something that might surprise you: Flexibility alone isn't enough for math fluency. I know, I know. I literally have courses called The Flexibility Formula. I talk about flexibility ALL THE TIME. But here's the thing: We've swung the pendulum too far. The problem: For years, we taught fluency through drill type worksheets, timed tests, and memorization. That had major downsides (anxiety, math avoidance, kids forgetting everything over summer). So the pendulum swung the other way. Now we're ONLY focusing on flexibility by building number sense, using strategies, and seeing relationships. And that's not working either. The solution: True math fluency has THREE components—Accuracy, Efficiency, AND Flexibility. Students need all three. In this episode, I break down: The Fluency Framework: Accuracy - Getting the right answer Efficiency - Getting there in a reasonable time (not 1 second, but not 5 minutes) Flexibility - Having multiple strategies and seeing number relationships Here's the key insight: When kids have flexibility with numbers—when they see relationships and can use strategies—they can figure out problems without shutting down. However, for facts to eventually become automatic, students do need repetition and practice. Fluency isn't just Flexibility and it isn't just Efficiency. Students need all 3. 3 ways to help teachers stop the pendulum swing: 1. Get on the same page about what fluency means.  2. Introduce purposeful practice structures.  3. Help them understand the progression. Resources mentioned: The Flexibility Formula courses: BuildMathMinds.com/enroll 2026 Virtual Math Summit sessions from Pam Harris, Dan Finkel, and Becky Lord Register free at VirtualMathSummit.com The pendulum needs to stop in the middle. Flexibility is necessary but not sufficient. Students need all three: Accuracy, Efficiency, and Flexibility.

Over the past few weeks, I've had AI generate 13 math lessons.  Teachers ARE using AI to generate lessons—whether we like it or not. So instead of pretending that's not happening, I decided to put AI to the test. Can it actually create good math lessons? The short answer? Not really. But the insights I gained from evaluating those 13 AI-generated lessons? Those apply to ANY math lesson—AI-generated or straight from your textbook. In this episode, I share the 3 biggest things I learned: Lesson #1: AI needs tons of detail in your prompt. I started with simple prompts like "Create a lesson for this standard" and got surface-level, procedural lessons. Even when I added more detail, AI still missed the mark. To get a truly good lesson, you'd need to give AI so much detail that you might as well write the lesson yourself. Lesson #2: AI doesn't know learning progressions. This is the biggest problem. AI assumes the standard you give it is exactly what students are ready for RIGHT NOW. But standards are where students need to be at the END of the year. AI doesn't understand where students typically are at the beginning, what foundational concepts need to be in place first, or where YOUR specific students are in their learning journey. Lesson #3: AI lessons are a starting point, not a finished product. Bottom line: I don't recommend using AI for lesson plans. But if you do, evaluate it with a critical eye and modify based on what you know about your students and the learning progression. So what IS AI good for? Analyzing data to find patterns in coaching cycles or assessment data Generating differentiated materials as a starting point Drafting communication and handouts (that you then edit) AI can handle mundane tasks so you have more time for the human work—coaching conversations, relationship-building, and instructional decision-making. My YouTube Shorts series: I'm doing a series called "AI Made This Lesson, Let's Make It Better" where I show you—in under 2 minutes—how to improve AI-generated lessons. But here's the thing: those same modifications apply to textbook lessons too. Watch them all (even if they're not your grade level) because the advice applies everywhere. Resources mentioned: YouTube Shorts playlist: "AI Made This Lesson" 2026 Virtual Math Summit sessions from Dr. Kristopher Childs and Dr. Nicki Newton Register free at VirtualMathSummit.com AI isn't going away. So let's learn how to use it wisely. Register at VirtualMathSummit.com to learn from experts about how to use AI in Education in the best ways.

 Teachers are overwhelmed, students are struggling, and the strategies that worked pre-pandemic aren't working anymore. In this episode, I tackle one of the biggest mindset barriers happening right now: "They should already know this." Yeah, they should. But they don't. So now what? I'm giving you three practical coaching strategies to help teachers shift from "they should know this" (which leads to frustration and blame) to "here's where they are and here's how we move them forward" (which leads to action and hope). You'll learn: How to help teachers identify the actual gap so it feels manageable, not overwhelming How to reframe "catching up" as "building forward"—addressing foundational gaps within current instruction How to normalize where students are and reset expectations around the timeline Math recovery is taking longer than reading recovery since the pandemic. Your teachers aren't failing—they're working with a different reality. Resources mentioned: 2026 Virtual Math Summit sessions from Jen Hunt, Graham Fletcher, Ann Elise Record, and Dr. Sue Looney Register free at VirtualMathSummit.com Whether you're a math coach, instructional coach, or administrator supporting math teachers, this episode will help you address one of the most common (and most damaging) mindsets holding us all back right now. Register at VirtualMathSummit.com to learn from experts to help your staff Build Forward.

In this episode, we tackle a hot topic in education: the Science of Math. Inspired by a podcast about women's health and a meeting with state math supervisors, I'm exploring two critical questions educators need to ask when applying research to their math instruction. First, is a powerful parallel I had when I heard: "Women are not small men" and that helped me think that math is not reading.  Let's challenge the common practice of taking research from reading instruction and automatically applying it to mathematics without questioning whether it actually fits. Just because something works for teaching reading doesn't mean it will work for teaching math—our brains process these subjects differently. Second, I challenge you to really take a look at the good and bad of what research suggests we do through the lens of timed tests. While research shows timed tests can increase fact retention, I ask the important follow-up questions: What about student anxiety? What about their enjoyment of math? I break down the actual benefits of timed tests (goal-setting, measuring progress, feeling achievement) and challenge listeners to find ways to get those benefits without the negative side effects. I'll leave you with two key questions to ask whenever you hear about "what the science says": Was this research actually done with mathematics, or are we borrowing from another field? If the research looks good but feels wrong, can you get the benefits without the downsides? Resources mentioned: Christina's previous video on timed activities 2026 Virtual Math Summit featuring Douglas Clements' session on The Science of Math - Register free at VirtualMathSummit.com Whether you're a teacher, math coach, or administrator, this episode will help you think more critically about the research you're applying in your math instruction. Get any resources/links mentioned in this episode at BuildMathMinds.com/217 

Do your students complete their math practice but forget everything by next week? There's a reason this happens—and a simple fix. Australian educator Michaela Epstein reveals why most practice only goes one direction (question → answer) and shares sorting & matching tasks that build real understanding. Learn how to add one metacognitive step that transforms mindless practice into flexible thinking. Plus, get details on the upcoming 10th Virtual Math Summit (Feb 28-March 1, 2026) with 34 sessions designed specifically for PreK-5 teachers and math coaches. Get any resources/links mentioned in this episode at BuildMathMinds.com/216 

Are you exhausting yourself trying to make everything "equal" in your math instruction or math coaching? In this video, I'm sharing why balance in teaching isn't about equality - it's about creating a beautiful structure that meets the needs of those you are working with. Let's rethink what balance really means for elementary math teachers and coaches. Get any resources/links mentioned in this episode at BuildMathMinds.com/215

When your students ask "When will I ever use this?"—especially with AI doing calculations faster than any of us—how do you answer? In this episode, I share a conversation that just validated how I think about the purpose of teaching math.    Spoiler: It's not about long division. It's about building thinkers, not calculators.    You'll hear the difference between students who DO math versus students who THINK about math, why building flexible thinkers actually speeds up your teaching (not slows it down), and how to shift your instruction to focus on what really matters. If you've ever questioned why we teach certain math skills, this episode will give you a whole new perspective.   Get any resources/links mentioned in this episode at BuildMathMinds.com/214 

Are your students still counting on their fingers for 6×4? Transform how you teach multiplication facts with this game-changing approach to subitizing! In this episode, you'll discover how to move beyond the exhausting "times tables treadmill" that forces students to memorize 100 disconnected facts. Instead, learn how subitizing—the ability to instantly recognize quantities without counting—can help your students see multiplication as beautiful, connected relationships. You'll learn: Why traditional fact memorization fails (and what works better) The 4 Types of Multiplication Facts that create a foundation for all others  How to use ten frames and visual arrays to make multiplication facts "subitizable" Three classroom-ready strategies you can implement tomorrow How to help students see that facts, like 7×6, aren't random facts to memorize, but are connected to facts they already know (like 5×6 or 7×5) This episode walks you through the visual progression from scattered groups to organized arrays, showing you exactly how to use color-coding and strategic groupings to make even challenging facts like 8×7 accessible through relationships. You'll also see how all eight foundational number sense concepts work together to build true multiplicative thinking. Stop asking your students to memorize 100 isolated facts. Start helping them see the patterns, understand the relationships, and actually enjoy learning multiplication. Your students (and their fluency) will thank you! Includes link to Christina's color-coded multiplication chart to support visual learning in your classroom. Get any resources/links mentioned in this episode at BuildMathMinds.com/213   

Discover how subitizing—the ability to instantly recognize quantities without counting—can transform your fraction instruction! While you may already use subitizing with your younger students, this episode reveals why it's equally powerful for upper elementary learners working with fractions. You'll learn what subitizing with fractions actually looks like and why keeping quantities small makes all the difference. We'll explore how subitizing helps students focus on relationships between quantities rather than getting bogged down in counting individual pieces, allowing them to use grouping strategies and truly understanding what's happening when operating with fractions, not just following rules. This episode will give you practical strategies to build stronger fraction sense in your classroom. Plus, grab the free Fraction Subitizing Cards to get started right away! Get the Fraction Subitizing Cards here: https://buildmathminds.com/fraction-subitizing-10day  Enroll in The Flexibility Formula 3rd-5th: https://buildmathminds.com/enroll/  WATCH: 4 Early Numeracy Concepts WATCH: How to Build Fraction Sense Get any resources/links mentioned in this episode at BuildMathMinds.com/212 

You know that building number sense is crucial—but finding time for one more thing feels impossible. In this episode, discover how investing time in foundational number sense concepts actually saves you time in the long run. Learn two practical strategies for fitting this essential work into your already-packed day without adding anything extra: the 1% Better Approach and the Replace, Don't Add Strategy. You'll walk away with clear examples of which activities to stop doing and what to start doing instead, so your students develop flexible thinking about numbers and you spend less time reteaching.  If you're ready to make math instruction more intentional without overwhelming yourself, this episode is for you. Students with strong number sense learn faster, make connections more easily, and actually enjoy math. That means less frustration for you, less reteaching, and more time for what really matters. Your small tweaks today compound into big results all year long. Get any resources/links mentioned in this episode at BuildMathMinds.com/211 

Are you doing all the "right" math activities—Number Talks, Number Strings, Quick Images—but still not seeing the progress you expected? In this episode, you'll discover why having great activities isn't enough, and what actually builds real number sense with your students. You'll learn the critical difference between facilitating activities to collect answers versus facilitating them to develop deep mathematical understanding. Through concrete examples, you'll see how the same activity can produce completely different results depending on how you guide the discussion, what questions you ask, and which student thinking you choose to highlight. This episode reveals four common facilitation mistakes teachers make and gives you the tools to avoid them. Most importantly, you'll understand why this missing piece—knowing what to listen for and how to make number sense concepts visible—is the key to finally seeing your students think more flexibly and develop lasting mathematical reasoning. Get any links mentioned in this episode at BuildMathMinds.com/210 

Are you overwhelmed thinking about trying to add in number sense activities into your already jam-packed day? In this game-changing episode, learn how to transform your math instruction by integrating number sense concepts into ONE quick activity.  The 'unspoken rule' of teaching math has been to keep each math skill in separate boxes that we teach in isolation.  Teaching in this way is one of the causes of feeling overwhelmed when teaching math. In this episode, you'll see how to integrate math concepts into one activity using an example of Number Strings. A single 10-minute activity can simultaneously develop multiple foundational number sense concepts - from subitizing to part-part-whole thinking. Whether you teach early or upper elementary, this episode provides practical strategies to help your students develop more flexible, sophisticated mathematical thinking. Walk away with a clear approach to making your math lessons more intentional, engaging, and effective. Get any links mentioned in the episode at BuildMathMinds.com/209

In this second episode of the math fluency series, we explore the four essential number relationships that help students move beyond counting and develop true mathematical thinking. Learn about spatial relationships, one/two more or less, benchmarks of 5 and 10, and part-part-whole thinking—and discover how these relationships evolve from PreK through fifth grade. We'll look at why students get stuck using inefficient strategies and how building these foundational relationships transforms them into flexible problem-solvers who can see multiple pathways to solutions. Plus, get practical questions you can start asking tomorrow to assess and develop these critical relationships in your students. Free number sense assessment resources available at BuildMathMinds.com/208.

In this episode, I'm kicking off a series on building math fluency by diving into what I wish I had known when I first started teaching—the critical foundations students need BEFORE we ever ask them to add, subtract, multiply, or divide. Many students can DO the math, but they don't truly UNDERSTAND it. And the problem isn't that they need more practice—they're missing something much more fundamental. I'm sharing the four early numeracy concepts from the research of Douglas Clements and Julie Sarama: subitizing (instantly recognizing quantities without counting), verbal counting (understanding number patterns and structure), object counting (purposefully counting items), and cardinality (understanding that the final count represents the total quantity). You might be thinking these sound like kindergarten concepts, but stay with me! These foundations develop in sophistication all the way through 5th grade and beyond, including fraction subitizing and understanding complex number relationships. I've got free Savvy Subitizing Cards (PreK-2nd) and Fraction Subitizing Cards (3rd-5th) linked up at https://buildmathminds.com/207 to help you with one of the 4 early numeracy concepts. Next episode, we'll dig into the four number relationships that move students from counting to mathematical thinking!

What if transforming your math teaching only required 4 minutes a day? In this episode, Christina breaks down the powerful concept of getting 1% better daily and shows how just 4 minutes of intentional change in your classroom adds up to 12 hours of enhanced math learning over the school year. Perfect for busy educators who want to make a real impact without overwhelming themselves. Get your free guide with 30+ quick math activities to get you started at BuildMathMinds.com/1%

As an elementary math coach, do you feel like you're trying to be everywhere at once with never enough time to make the impact you want? In this episode, discover how to use the 80/20 principle to transform your coaching approach and actually increase your impact while saving time. Learn how to strategically apply the 80/20 rule in two key ways: Which Teachers to Prioritize: How to identify the 20% of teachers who will create the biggest ripple effect across your school (hint: it's not just about who needs the most help) What to Coach On: The foundational instructional moves that will serve teachers for years versus the "trivial many" that keep you busy but don't create lasting change Stop spreading yourself thin and start coaching smarter. By the end of this video, you'll have a clear framework for focusing your energy on what truly matters - and you'll walk away with two concrete action steps to implement immediately. Perfect for elementary math coaches, instructional coaches, and math specialists looking to maximize their impact with limited time. What You'll Get: ✅ Understanding of the 80/20 principle and how it applies to coaching ✅ Specific strategies for identifying high-impact teachers to prioritize ✅ Clear criteria for choosing coaching topics that create lasting change ✅ Two actionable lists to create after watching

Are timed math activities helping or harming our elementary students? This controversial topic divides educators, but the research tells a clear story when we dig deeper. In this episode, we explore evidence-based strategies for using timed activities to build math fluency without creating anxiety or trauma. Drawing from the What Works Clearinghouse's analysis of 27 studies involving over 4,300 students, we discover that the problem isn't timed activities themselves—it's how they've been implemented. You'll learn the five essential steps for effective timed math practice: identifying already-learned topics, choosing engaging activities, ensuring students have efficient strategies, tracking meaningful progress, and providing immediate feedback. We move beyond traditional worksheets and timers to explore alternatives like number talks, mental math relays, and "beat your own score" games. This episode directly addresses real teacher questions about timed facts assessments and students who struggle with computation speed on standardized tests. We tackle the balance between building number sense and developing computational fluency, offering practical solutions for both classroom instruction and assessment preparation. Whether you're a classroom teacher questioning your current math fluency practices or a math coach supporting teachers through this debate, this episode provides research-backed strategies you can implement immediately. WWC/IES Practice Guide for Assisting Students Struggling with Mathematics 

In this cross-posted episode from Math Chat, host Mona Iehl interviews Christina Tondevold about developing number sense in elementary students. Christina shares her journey from a "procedural" math student to becoming a math coach and founder of Build Math Minds. The conversation explores the eight components of number sense: four early numeracy concepts (subitizing, verbal counting, object counting, and cardinality) and four number relationships (spatial relationships, one/two more or less, benchmarks of 5 and 10, and part-part-whole). Christina explains how these concepts help move students beyond counting to more efficient math strategies. Practical classroom strategies discussed include using sticky notes to assess students' visual number understanding, implementing subitizing activities, and strategically choosing numbers in word problems to reinforce key number relationships. Both educators emphasize the importance of allowing students to solve problems in ways that make sense to them, rather than forcing procedural approaches. This episode provides valuable insights for teachers looking to build true mathematical understanding rather than just procedural knowledge in their students. Check out Mona's podcast Math Chat Enroll in The Flexibility Formula Course

In Episode 202: Going Beyond the Task When Building Thinking Classrooms, we reveal the exciting lineup of special guests for our summer book study on 'Mathematics Tasks for the Thinking Classroom Grades K-5' by Peter Liljedahl and Maegan Giroux. Starting July 14th, each week will feature a video with reading prompts followed by live Q&A sessions with experts including first-grade teacher Tammy McMorrow, co-author of the book Maegan Giroux, and Official BTC Consultant Kim Rimbey. Join now at BuildMathMinds.com/bookstudy25 to receive a 20% discount code plus free shipping within the US, and participate in these valuable learning opportunities with educators who are transforming mathematics classrooms.

In Episode 201, I share two exciting summer learning opportunities for fellow Recovering Traditionalists as we prepare to pause the podcast until August. First, enroll in The Flexibility Formula online courses (K-2 or 3-5) to transform how you build math fluency with your students. BuildMathMinds.com/courses  Second, join our free summer book study on "Mathematics Tasks for the Thinking Classroom Grades K-5" by Peter Liljedahl and Maegan Giroux, starting July 14th. Register now at BuildMathMinds.com/bookstudy25 to receive a publisher discount (20% off with free US shipping) and access to exclusive weekly videos featuring insights from myself, Rosalba Serrano, and special guests. We'll explore Part 1 (BTC Practices in Review) and Part 4 (From Page to Practice), focusing on implementing thinking tasks and creating your own curriculum resources. This essential companion to Building Thinking Classrooms will help you prepare for next year's math instruction with practical strategies and ready-to-use templates.

In this milestone 200th episode of The Build Math Minds Podcast, I share the three essential math experiences every classroom needs: Number Routines, Word Problems, and Games. Drawing from research-backed practices in the IES/WWC guides, I explain why these activities are crucial for developing conceptual understanding, procedural fluency, and application in mathematics. Learn how Number Routines make implicit math concepts explicit, how Word Problems should help students understand mathematical structures beyond keywords, and how Games provide engaging practice that builds fluency. To celebrate this 200th episode milestone, I'm offering a free Google file with examples of all three experiences that you can download at BuildMathMinds.com/200. After 200 episodes, these core principles remain unchanged - Routines, Word Problems, and Games help Build Math Minds!

In this episode, I explore the fascinating world of finger use in math and specifically how we represent numbers differently. After noticing that Dan Finkel and I show the number 3 with completely different finger configurations, I dive into why these variations matter for children's mathematical understanding. Through personal stories about my own children's attempts to show the number 5, I highlight how fixed representations can limit children's number sense. Join me to discover why showing quantities in multiple ways—whether using fingers, ten frames, or rekenreks—helps develop deeper mathematical thinking and flexibility. A must-listen for teachers and parents wanting to build stronger number foundations with young learners.

In this episode, Christina Tondevold welcomes special guest Dan Finkel, founder of Math for Love and creator of popular games like Prime Climb and Tiny Polka Dot. Dan shares his three essential principles for effectively implementing mathematical games in the classroom: games should involve meaningful choices, math should be the engine driving the gameplay, and games should be simple to learn and quick to play. Through personal stories and classroom examples, Dan and Christina explore how games transform math from a dreaded chore into an engaging learning experience. The episode concludes with a demonstration of the "31 Game," a simple yet strategic counting game that exemplifies how mathematical play can build number sense, encourage strategic thinking, and create a classroom culture where students aren't afraid to show what they don't know. Perfect for educators looking to reinvigorate their math instruction between standardized testing periods! Join the Build Math Minds PD site to access the Mini Courses https://buildmathminds.com/bmm/  Dan's website Math For Love https://mathforlove.com/  Dan's game Prime Climb https://amzn.to/3Y3jN5y  Dan's game Tiny Polka Dot https://amzn.to/44sfRiI 

In this final episode of our three-part series on upleveling missing part activities, I share ways to transform two popular math games: Salute and Number Sandwiches. Learn how to modify these traditional games to help your students build a deeper understanding of number relationships through missing part problems. These upleveled versions create opportunities for students to work with equivalent expressions while maintaining the fun and engagement of game-based learning. Perfect for elementary math teachers looking to enhance their daily math lessons with games that challenge students to think more deeply about mathematical relationships.

In this second installment of our three-part series on Missing Part Activities, we explore 'repackaging tasks' - a powerful approach to traditional missing part word problems. While educators are familiar with finding unknown parts in word problems like "Christina has $12, she spends some now she has $7.  How much did she spend?", repackaging tasks push mathematical thinking further by having students redistribute quantities across equivalent expressions. Through practical examples in both multiplication and addition contexts, I demonstrate how these problems help students develop a deeper understanding of equality, number properties, and flexible thinking strategies. Learn how incorporating these enhanced word problems alongside your regular curriculum builds stronger mathematical minds. Part 1 is Episode 195 - https://www.youtube.com/watch?v=DZZKctj2pns  

In this episode, we explore how to elevate your 'Missing Part' math activities beyond the basic type like 5 + __ = 12' into more problems that help students develop a deeper understanding of mathematical equality and build foundational number properties. Get a quick way to implement these enhanced activities in your classroom. Perfect for elementary educators looking to strengthen their students' mathematical thinking without explicitly teaching formal properties. This is the first in a three-part series on upleveling Missing Part activities for more meaningful math instruction.

In this episode, we explore the common misconception about mental math in mathematics education. Featuring insights from Pam Harris' newly published book 'Developing Mathematical Reasoning: Avoiding the Trap of Algorithms,' we discuss why mental math isn't about doing calculations without paper—it's about developing quality thinking strategies.   

In this episode, I follow up on last week's introduction to the Lesh Translation Model with an important caution. While I previously shared a template for The Translation Task, today I explore concerns raised by John Mason in the 1987 book "Problems of Representation in the Teaching and Learning of Mathematics." Mason warns that frameworks like the Lesh Model can become "mechanical schemes for generating yet more useless student activity" when implemented without proper attention. I offer two specific ways to prevent this template from becoming routine and mindless.  This episode emphasizes the importance of thoughtful implementation over mechanical application of educational frameworks. For more information and to download the Translation Task Template, visit BuildMathMinds.com/193.

In Episode 192, "A Math Task All Teachers Should be Doing," I discuss the Lesh Translation Model, a powerful framework that was frequently featured at the 2025 Virtual Math Summit. This model, which dates back to 1979 but was highlighted in NCTM's 2014 book "Principles to Actions," identifies five different ways to represent mathematical concepts: Manipulatives (objects), Realistic (real-life contexts), Pictorial (drawings), Language (verbal descriptions), and Symbolic (numbers/equations). I explain how these representations are interconnected and how developing multiple representations helps students build a deeper understanding of mathematical concepts. The episode introduces the Translation Task, where students are given one representation of a concept and asked to create the other representations. Grab the free download of the Translation Task template at BuildMathMinds.com/192 to start doing the task immediately with your students to strengthen mathematical understanding through multiple representations.  

Highlights from the 2025 Virtual Math Summit Get a look into the 2025 Virtual Math Summit's six live sessions that are transforming mathematics instruction in classrooms across the country. This episode captures the essence of innovative teaching approaches from some of the most influential voices in math education today. Discover how Peter Liljedahl and Maegan Giroux are revolutionizing classrooms with their "Building Thinking Classrooms" approach, including their counterintuitive advice to create "bad examples" that spark genuine problem-solving. Listen as Pam Harris demonstrates how simple "helper problems" can build powerful number relationships without relying on mindless algorithms. You'll gain practical insights from Shannon Olson on effectively connecting the five types of mathematical representations, and witness Kim Rimbey's fascinating exploration of how ten frames can develop deep place value understanding across all grade levels. NCTM President Latrenda Knighten shares engaging strategies for incorporating children's literature and instructional routines to enhance mathematical discourse, while Ann Elise Record demonstrates why visual models are far more effective than the misleading "keyword" approach for tackling word problems. This episode isn't just about theory—it's packed with classroom-tested strategies you can implement immediately to deepen your students' mathematical understanding and confidence.  Show Notes: Building Thinking Classrooms through non-examples and "just-in-time" teaching Moving beyond algorithms to develop mathematical relationships Connecting contextual, physical, visual, symbolic, and verbal representations Using ten frames to develop place value understanding across grade levels Enhancing mathematical discourse through children's literature and instructional routines Visual modeling approaches for word problems that transcend "keyword" strategies Featured Speakers: Building Thinking Classrooms Peter Liljedahl & Maegan Giroux, Pam Harris, Shannon Olson, Kim Rimbey, NCTM President Latrenda Knighten, and Ann Elise Record Note: March 3rd is the last day to watch the 2025 Virtual Math Summit sessions for free. Extended access is available through BuildMathMinds.com/bmm 

Get four powerful strategies for making mathematics engaging and accessible for elementary students from expert presenters at the 2025 Virtual Math Summit. Dr. Raj Shah reveals the psychology of engagement through video game design principles, while Kristin Acosta demonstrates how to use everyday images to spark mathematical discussions. Jeff Gobin shows how digital manipulatives can make abstract concepts concrete, and Tyler Tarver shares research on leveraging educational videos effectively in mathematics instruction. Whether you're looking to increase student participation, reduce math anxiety, or create more engaging lessons, this episode provides practical, research-based strategies you can implement immediately in your classroom. Learn how to meet students where they are while guiding them toward deeper mathematical understanding through visual, digital, and traditional approaches to learning. Featured Speakers: Dr. Raj Shah, Kristen Acosta, Jeff Gobin, and Tyler Tarver Discover how to transform your math instruction and make mathematics accessible and engaging for all students. Register for free at VirtualMathSummit.com to watch the full versions of these sessions February 22nd & 23rd. Register for the Virtual Math Summit: https://virtualmathsummit.com/  Upgrade to have extended access to Virtual Math Summit sessions at VirtualMathSummit.com/upgrade  To get any links mentioned in the episode go to: https://buildmathminds.com/189   To see this episode instead of just listen, go to https://www.youtube.com/BuildMathMinds 

How can we help our students retain what they learn in mathematics? The latest 2024 NAEP scores show that only 39% of 4th grade students and 28% of 8th grade students are performing at or above the Proficient level in mathematics, suggesting many students aren't retaining fundamental concepts. In this episode, Christina shares research-backed strategies from two Virtual Math Summit presenters, Jen Hunt and Michaela Epstein, that can help combat these concerning trends. Learn about The Forgetting Curve, how working memory impacts math learning, and why practices like math games and spaced practice are scientifically proven to help students retain mathematical concepts. Discover three practical strategies you can implement tomorrow to help your students better retain what they learn in mathematics. Plus, get insights into how dual coding theory and dopamine play crucial roles in mathematical learning and retention. These brain-based strategies can help your students build lasting mathematical understanding. Featured speakers: Jen Hunt and Michaela Epstein Register for free at VirtualMathSummit.com to watch these transformative sessions February 22nd & 23rd. Register for the Virtual Math Summit: https://virtualmathsummit.com/  Upgrade to have extended access to Virtual Math Summit sessions at VirtualMathSummit.com/upgrade  To get any links mentioned in the episode go to: https://buildmathminds.com/188   To see this episode instead of just listen, go to https://www.youtube.com/BuildMathMinds 

In this episode, get an inside look at three powerful sessions from the 2025 Virtual Math Summit focused on transforming math problem solving in elementary classrooms. Listen to clips from John SanGiovanni sharing a unique routine that shifts focus from answers to understanding, Danielle Moore demonstrating practical strategies for building student independence through CGI instruction, and Christine Riad exploring how classroom culture impacts students' problem-solving confidence. These pre-recorded sessions, along with Ann Elise Record's live session mentioned in episode 186, will give you practical tools to address common struggles students face when solving math problems. Learn how to help students move beyond just asking "Is this addition or subtraction?" to becoming confident mathematical thinkers. Register for free at VirtualMathSummit.com to watch these transformative sessions February 22nd & 23rd. Register for the Virtual Math Summit: https://virtualmathsummit.com/  Upgrade to have extended access to Virtual Math Summit sessions at VirtualMathSummit.com/upgrade  To get any links mentioned in the episode go to: https://buildmathminds.com/187   To see this episode instead of just listen, go to https://www.youtube.com/BuildMathMinds

In this episode, get a sneak peek at the live sessions happening at the 2025 Virtual Math Summit. Learn about sessions from renowned math educators including Pam Harris on moving beyond algorithms, Shannon Olson on connecting mathematical representations, Kim Rimbey's innovative approach to ten-frames, Latrenda Knighten's strategies for mathematical discourse, and Ann Elise Record's deep dive into visualizing problem-solving structures. These live sessions, happening February 22nd-23rd, are designed to give you practical, classroom-ready strategies you can implement immediately. Register for free at VirtualMathSummit.com and learn about options for extended viewing of all sessions at VirtualMathSummit.com/upgrade. Register for the Virtual Math Summit: https://virtualmathsummit.com/  To get any links mentioned in the episode go to: https://buildmathminds.com/186   To see this episode instead of just listen, go to https://www.youtube.com/BuildMathMinds

In Episode 185, we dive into Building Thinking Classrooms (BTC), one of the most transformative approaches in mathematics education. Learn why this popular teaching method is more than just vertical surfaces and random groups - it's about creating environments where students truly think and engage with mathematics. This episode addresses a common misconception about BTC and previews the Peter Liljedahl & Maegan Giroux's 2025 Virtual Math Summit opening keynote. Plus, get insights from their new book 'Mathematics Tasks for the Thinking Classroom.' Whether you're new to BTC or looking to deepen your practice, this episode gives you some important things to contemplate so you can implement thinking classrooms effectively. Register for the Virtual Math Summit: https://virtualmathsummit.com/  To get any links mentioned in the episode go to: https://buildmathminds.com/185   To see this episode instead of just listen, go to https://www.youtube.com/BuildMathMinds 

Transform both your math AND reading instruction with two powerful game-based resources! In this episode, discover how to implement engaging games that provide meaningful practice without the typical hassles of game setup and complicated rules. Learn about Reading Simplified's "Switch It" game for building foundational reading skills, and explore the versatile "Evergreen Games" for math practice that can be adapted for any math concept throughout the year. These games offer the perfect balance of fun and learning, allowing students to get multiple repetitions while actually enjoying the practice! Key Takeaways: Learn about two free game resources for math and reading Discover how to adapt games for different math concepts Understand why games are more effective than worksheets Access templates you can use all year long Request Switch It! from Reading Simplified here: https://readingsimplified.com/switch-it/?utm_source=Affiliate&utm_campaign=BMM  Get the Evergreen Games Template document here: buildmathminds.com/games  Register for the Virtual Math Summit: https://virtualmathsummit.com/  To see this episode instead of just listen, go to https://www.youtube.com/BuildMathMinds  To get any links mentioned in the episode go to: https://buildmathminds.com/184  

The Count is an activity from John SanGiovanni's book that turns simple counting into a deep mathematical exploration. In this episode, learn how this routine helps elementary students engage with Math Practice #7 by looking for and making use of mathematical structure. We'll break down how a seemingly simple counting sequence can develop number sense, encourage mathematical thinking, and create a low-pressure environment for pattern recognition.  Key Takeaways: Learn what "The Count" activity is and how to implement it Understand how counting can develop deeper mathematical thinking Questions to help students look for and use the patterns created by the structure of numbers  To see this episode instead of just listen, go to https://www.youtube.com/BuildMathMinds  To get any links mentioned in the episode go to: https://buildmathminds.com/183   Get the special offer to join the Build Math Minds PD site at https://buildmathminds.com/special 

Discover how Visual Patterns can transform mathematical thinking in your elementary classroom! Listen in as we explore Fawn Nguyen's powerful activity that engages students in all 8 Standards of Mathematical Practice. Learn how a single activity can help students reason, argue, model, and see the hidden structures in mathematics. This episode is a must-listen for educators looking to make math more engaging, meaningful, and accessible for their students. Key Takeaways: Understand how Visual Patterns support mathematical thinking Learn strategies to engage students across all Math Practice Standards Discover a low-prep, high-impact math resource  To see this episode instead of just listen, go to https://www.youtube.com/BuildMathMinds  To get any links mentioned in the episode go to: https://buildmathminds.com/182  

The predictability of mathematics is one of the things I love about math. There are some great activities you can do in your classroom with your students to help them see & USE that predictability.  Last week I shared one (Leaping Numbers) and this week I'm sharing another: Finding One and All.  This is a great number routine that is similar, yet different, to Number Strings and is a wonderful way to get your students engaged in Math Practice #7: Look For and Make Use of Structure.  To see this episode instead of just listen, go to https://www.youtube.com/BuildMathMinds  To get any links mentioned in the episode go to: https://buildmathminds.com/181   For Build Math Minds Members, log in here to access the done-for-you routine: https://pd.buildmathminds.com/  If you aren't a member you can join here: https://buildmathminds.com/bmm/   

Want a fun, engaging, and mathematically powerful activity to help keep your students engaged in math until the holiday break?  In this episode I'm sharing a new activity by one of my favorite creators, Steve Wyborney, Leaping Numbers.  This activity is a great way to get your students doing Standard of Math Practice #7: Look For & Make Use of Structure.  To see this episode instead of just listen, go to https://www.youtube.com/BuildMathMinds  To get any links mentioned in the episode go to: https://buildmathminds.com/180  

Math tricks or hacks are everywhere, but which ones should you actually use with your students?  I came across one this week on social media and thought I'd use it as an example to give you some ideas on how to approach the use of math tricks in your classroom.  To see this episode instead of just listen, go to https://www.youtube.com/BuildMathMinds  To get any links mentioned in the episode go to: https://buildmathminds.com/179  

This week's episode comes from a question that was sent in about helping students who struggle with math problems that are written differently than kids typically see them.  These types of "less than" math problems are strange because kids don't often encounter them in that way even in their own lives.  I'm giving you two tips to help students so that these types of problems aren't so difficult for them.  To see this episode instead of just listen, go to https://www.youtube.com/BuildMathMinds  To get any links mentioned in the episode go to: https://buildmathminds.com/178  

Math Misconceptions might just look like mistakes that your students are making, but they are usually slightly different.  Mistakes happen when we don't remember, or remember incorrectly, whereas Misconceptions are rooted in understanding…we believe this is the way it is.  Mistakes happen from time to time, and are usually not anything to get too worried about.  But Misconceptions stem from a person's understanding of something and if it isn't addressed it will forever be misunderstood.  In this episode I'm introducing you to our series of short videos we have put together to start a conversation about math misconceptions kids have in the elementary grade. Watch the Math Misconceptions videos in this Playlist on YouTube:  To get any links mentioned in the episode go to: https://buildmathminds.com/177  

In this episode I'm introducing you to a not-yet-released book about the traps of math algorithms, but it's actually so much more than that.  It's about women supporting women and lifting someone up when you see they are doing good instead of trying to tear them down.  To see this episode instead of just listen, go to https://www.youtube.com/BuildMathMinds  To get any links mentioned in the episode go to: https://buildmathminds.com/176