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The Build Math Minds Podcast

The Build Math Minds Podcast
Author: Christina Tondevold
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The Build Math Minds podcast is for my fellow Recovering Traditionalists out there. If you don’t know whether or not you are a Recovering Traditionalist, here’s how I define us. We are math educators who used to teach math the traditional way. Flip lesson by lesson in the textbook, directly teaching step-by-step how to solve math problems. But now, we are working to change that to a style of teaching math that is fun and meets our students where they are at, not just teaching what comes next in the textbook. We want to encourage our students to be thinkers, problem solvers, and lovers of mathematics..we are wanting to build our students math minds and not just create calculators. If that is you, then this podcast is for you.
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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
Rounding numbers should be way more than just a procedure where we ask students to look to see if the number behind is a 5 or higher. Helping elementary students round should be based upon their number sense. In this last episode of the Rounding Numbers series, I’m giving you an acronym to remember to help your students with rounding numbers: ABR. 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: BuildMathMinds.com/175
The 2024 Virtual Math Summit is this month! Here’s a preview of 3 sessions from Michaela Epstein, Rosalba Serrano, and Nicole Thompson & Jessica Batinovic giving you tips, ideas, and inspiration to make our Number Routines the best they can be for your students. To see the full list of speakers, their presentations, and to get registered go to VirtualMathSummit.com/register. To get any links mentioned in this episode, go to the show notes page at BuildMathMinds.com/156.
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%
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
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