Room to Grow - a Math Podcast

Room to Grow Math

Room to Grow is the math podcast that brings you discussions on trending topics in math education in short segments. We’re not here to talk at people. We’re here to think and learn with others — because when it comes to mathematics there’s always room to grow!

  1. 11/26/2025

    Centering Student Reasoning in Conceptual Understanding and Procedural Fluency

    In this episode of Room to Grow, Curtis and Joanie reconsider the balance of conceptual understanding and procedural fluency in math instruction. Although this topic has been discussed before, our hosts acknowledge that there is great nuance and many considerations in considering these two ideas in the teaching and learning of mathematics. Curtis and Joanie discuss how inquiry-based, discovery-style learning opportunities are more open ended, are student centered, and are less teacher directed. They support these types of lessons in math instruction while recognizing that there are times when an explicit approach where teachers are sharing important information also has a place. Additionally, our hosts consider that teaching procedures and algorithms also provides and opportunity to cultivate conceptual understanding. When teachers help student find the  conceptual understanding within the procedures, they engage in mathematical reasoning. This type of reasoning through concepts and procedures contributes to a broader and more robust understanding of meaningful mathematics.   Additional referenced content includes: ·       NCTM article From Rules That Expire to Deeper Mathematical Thinking. Mathematics Teacher: Learning & Teaching PK-12 Volume 118 Issue 4. April 2025. (Membership required). ·       NCTM article Teaching Is a Journey: From Rules That Expire to a Journey Aspired. Mathematics Teacher: Learning & Teaching PK-12 Volume 118 Issue 4. April 2025. (Membership required). ·       Robert Kaplinski’s website and Open Middle website Did you enjoy this episode of Room to Grow? Please leave a review and share the episode with others. Share your feedback, comments, and suggestions for future episode topics by emailing roomtogrowmath@gmail.com . Be sure to connect with your hosts on X and Instagram: @JoanieFun and @cbmathguy.

    34 min
  2. 10/14/2025

    Developing Mathematical Reasoning with Pam Harris

    This episode of Room to Grow, Curtis and Joanie speak with Pam Harris. Pam is well known and loved for her website, podcast, books, and conference sessions all based on her core belief that “Math is FigureOutAble.” Today’s discussion centers on Pam’s newest publication, Developing Mathematical Reasoning: Avoiding the Traps of Algorithms. Pam starts with three distortions about math that are common among teachers, students, and the population, and can impact how educators engage students with math in their classrooms. Next the conversation shifts to what is meant by algorithms, and how they differ from strategies and formulas. Then the discussion focuses on the potential traps to learning that can result from teaching algorithms in mathematics. All of these ideas are based on the development of mathematical reasoning, from counting strategies to additive thinking, to multiplicative reasoning and proportional reasoning, then the functional reasoning that comprises much of the math students learn in high school. There are so many good ideas in this episode that will challenge you and get you thinking! Additional referenced content includes: ·       Pam Harris’ website, Math is FigureOutAble. ·       Pam’s book, Developing Mathematical Reasoning: Avoiding the Traps of Algorithms. ·       Pam’s podcast, Math is Figure-Out-Able! ·       Find Pam on all your favorite social media platforms. Did you enjoy this episode of Room to Grow? Please leave a review and share the episode with others. Share your feedback, comments, and suggestions for future episode topics by emailing roomtogrowmath@gmail.com . Be sure to connect with your hosts on X and Instagram: @JoanieFun and @cbmathguy.

    1h 4m
  3. 08/19/2025

    Supporting Productive Struggle in Learning Mathematics

    This episode of Room to Grow wraps up Joanie and Curtis’ season 5 series on the Mathematics Teaching Practices from NCTM’s Principles to Actions. The final practice in the series is “Support productive struggle in learning mathematics.” This is defined as follows: Effective teaching of mathematics consistently provides students, individually and collectively, with opportunities and supports to engage in productive struggle as they grapple with mathematical ideas and relationships.  Our hosts begin with discussing the connection to classroom culture, ensuring that students feel safe, emotionally and academically, in order to be willing to struggle. Additionally, the expectations set by the teacher when there is a belief that productive struggle is a valuable and important aspect of learning math. Then they linger on the word “grapple” and the connotation it creates, and how different it is than the connotation of the word “struggle.” And they emphasize that productive struggle isn’t about the math being hard, but rather thinking about the mathematics in new ways, and making connections that may not have been obvious. A key idea is the importance of educators’ asking questions to better understand student thinking, which is a necessary condition for helping them to grapple with new mathematical connections. Additional referenced content includes: ·       NCTM’s Principles to Actions ·       NCTM’s Taking Action series for grades K-5, grades 6-8, and grades 9-12 ·       Favorite No protocol (5 minute Video) ·       Previous Room to Grow episode Helping Students Struggle Productively ·       Image of America flag made of baseballs Did you enjoy this episode of Room to Grow? Please leave a review and share the episode with others. Share your feedback, comments, and suggestions for future episode topics by emailing roomtogrowmath@gmail.com . Be sure to connect with your hosts on X and Instagram: @JoanieFun and @cbmathguy.

    43 min
  4. 07/22/2025

    Build Procedural Fluency from Conceptual Understanding

    In this episode of Room to Grow, Joanie and Curtis continue the season 5 series on the Mathematics Teaching Practices from NCTM’s Principles to Actions, celebrating it’s 10th anniversary. This month’s practice is “Build procedural fluency from conceptual understanding.”  This is defined as follows:  Effective teaching of mathematics builds fluency with procedures on a foundation of conceptual understanding so that students, over time, become skillful in using procedures flexibly as they solve contextual and mathematical problems.  Using some discussion about multiplication, our hosts try to differentiate what is meant by conceptual understanding and by procedural fluency. They tease out the confusion that can arise by associating conceptual understanding with inquiry-based instruction and procedural fluency with direct instructional strategies. Although these types of instruction often go together, they are different, and separating them can help educators focus on how to best get to student learning.  Additional referenced content includes: ·       NCTM’s Principles to Actions ·       NCTM’s Taking Action series for grades K-5, grades 6-8, and grades 9-12 ·       NCTM’s position paper on Procedural Fluency (January 2023 – membership not necessary)  Did you enjoy this episode of Room to Grow? Please leave a review and share the episode with others. Share your feedback, comments, and suggestions for future episode topics by emailing roomtogrowmath@gmail.com . Be sure to connect with your hosts on X and Instagram: @JoanieFun and @cbmathguy.

    44 min
4.7
out of 5
15 Ratings

About

Room to Grow is the math podcast that brings you discussions on trending topics in math education in short segments. We’re not here to talk at people. We’re here to think and learn with others — because when it comes to mathematics there’s always room to grow!

You Might Also Like