Room to Grow - a Math Podcast

In this episode of Room to Grow, Joanie and Curtis speak with leaders of the National Council of Teachers of Mathematics (NCTM) about their recent publication, High School Mathematics Reimagined, Revitalized and Relevant.  Latrenda Knighten, NCTM President and Kevin Dykema, NCTM Past-President share a great overview of how rethinking how and what we teach in high school math can be improved so that more students leave high school prepared. This preparation involves not only knowing more mathematics, but believing in their capability as math learners and in their preparation for whatever path they have chosen for themselves after graduating.

In this episode of Room to Grow, Joanie and Curtis speak with Mike Steele and Joleigh Honey, authors of the recently released book transform your math class using asset-based teaching for grades 6-12. The book and the conversation explore what is meant by “asset-based,” and why shifting to more asset-based approaches supports a broader range of learners. 

Mike and Joleigh unpack ideas around asset-based language, including, the language of mathematics, the language students use to talk about math, and the language educators use to talk about students. They also explore classroom and instructional routines, many of whi...

In this episode of Room to Grow, Joanie and Curtis continue their conversations with middle and high school students to gain their perspectives on learning math. Our hosts interviewed six students from grades 7-12 in three different sessions. Because all of these conversations were rich with great comments, this is the second of two episodes of Room to Grow devoted to these students’ perspectives; if you haven’t already listened to part 1, we encourage you to do so. 

Part 2 focuses on these students’ perceptions on asking questions in class and managing when they don’t understand, as well as t...

In this episode of Room to Grow, Joanie and Curtis have conversations with middle and high school students to gain their perspectives on learning math. They interviewed six students from grades 7-12 in three different sessions. Because all of these conversations were rich with great comments, the next two episodes of Room to Grow will be devoted to these students’ perspectives. 

Part 1 focuses on what the students said their teachers do or don’t do in the classroom that supports their learning. We heard about the importance of being able to talk to others during class...

In this episode of Room to Grow, Joanie and Curtis continue their conversation from the Wisconsin Math Council’s annual conference. 

Wisconsin mathematics education leaders Mary Mooney and Lisa Hennessey share additional thoughts on the remaining pillars of their conference theme, A  C.A.L.L. to Action, embracing the roles of Community, Advocacy, Leadership, and Learning. Additionally, we hear some questions from the session audience. If you haven’t already, be sure to go back and listen to the first episode, then enjoy this month’s conversation.

We encourage you to explore the resources below, r...

In this episode of Room to Grow, we join our hosts at the Wisconsin Math Council’s annual conference. Wisconsin mathematics education leaders Mary Mooney and Lisa Hennessey join Curtis and Joanie for a discussion focused on the conference theme, A  C.A.L.L. to Action, embracing the roles of Community, Advocacy, Leadership, and Learning. 

Due to the extended nature of this great conversation, this month’s episode features Community and Advocacy. Stay tuned for next month’s continuation of the conversation, focused on Leadership and Learning.

We encourage you to explore the resources below, r...

In this episode of Room to Grow, our hosts discuss ways to support student sense-making in teaching and learning mathematics. Building out on the ideas shared in Episode 3 of Room to Grow, Curtis and Joanie dive more deeply into what it means for students to “make sense of mathematics.”

They discuss what it looks and sounds like when students are making sense, as opposed to just repeating back learned ideas, and consider which classroom structures and teacher moves might best support students’ sense-making.

They acknowledge that sense-making is not more or less important than learning mathem...

In this episode of Room to Grow, our hosts look for the balance between instruction that is teacher-driven, traditional lecture-style, and inquiry-based, discovery-style lessons. They recognize the value of both types of teaching, understanding that there is a time in learning for both exploration and for direct and explicit teaching. 

The conversation offers explanation of what conditions may require different teaching strategies, based on the goals and content of the lesson as well as how students are responding to and progressing (or not) toward intended learning. 

The common theme between these approaches is student sense-making, an...

In this episode of Room to Grow, our hosts share conversation with Rebecka Peterson, the 2023 National Teacher of the Year (NTOY). Rebecka is a high school math teacher at Union High School in Tulsa, Oklahoma, on leave for the 2023-24 school year to fulfill her NTOY responsibilities. She views the NTOY not as an award, but rather a job, that of spokesperson and ambassador for the teaching profession.

In this conversation, we learn about her teaching journey and the lessons she learned along the way that have shaped her focus in the classroom. She shares how she...

In this episode of Room to Grow, Curtis and Joanie consider ways to uncover how students are actually thinking about the mathematics they are learning. Using a real-life, recent incident between Curtis and his sixth grade son, our hosts consider the challenging fact that many students think that success in math class means figuring out what answer the teacher (or the computer program/app, or the back of the book) is looking for. 

They posit that when educators are always focused on the mathematics of the moment – what is being learned in a single lesson, week, or uni...

In this episode of Room to Grow, special guests Sandra Lightman and John Staley help Joanie and Curtis understand the Math Milestones. These one-page resources include 12-14 math tasks that provide a visualization of and engagement with the math standards of each grade. The Math Milestones tasks present grade level math, not as a list of standards or learning outcomes, but as a groups of math tasks, a language understood by teachers and students. 

The Math Milestones project was supported by Student Achievement Partners with Sandra and John as critical members of the team. The resources, available f...

In this episode of Room to Grow, Curtis and Joanie continue their conversation with Grace Kelemanik and Amy Lucenta. In follow-up to our previous episode, this conversation shifts to a focus on teachers and how the Reason Routines help them to be more effective with more students. 

We begin by talking about what makes teaching hard – including the fact that teachers make a million decisions every day in response to the students in the room and how they are engaging with the content; and that doesn’t even include the day-to-day challenges of interruptions, meetings, grading papers, and o...

In this episode of Room to Grow, Grace Kelemanik and Amy Lucenta join Curtis and Joanie to talk about how routines can provide the “opportunity and support for each and every student develop mathematical thinking and reasoning.” Although routines are used by most educators for a variety of reasons, Grace and Amy focus on “Routines for Reasoning,” which are specifically designed and structured to surface the ways that students are thinking about the mathematics and to better understanding the reasoning of their classmates to reinforce the mathematics content and thinking goals. 

In this extended episode, Amy and Grace div...

In this episode of Room to Grow, Joanie and Curtis host special guest Dr. Katey Arrington to discuss the importance of teacher content knowledge. 

Dr. Arrington is the Associate Director of the UTeach Institute at the University of Texas at Austin. She is also serving in the Presidential line for NCSM: Leadership in Mathematics Education from 2022-2026. Previously, she led the K-12 system services work at the Charles A. Dana Center, served as a mathematics coordinator for a growing, diverse district in Texas, instructional coach, and taught in both K-12 and community college systems. Katey earned a P...

In this episode of Room to Grow, Joanie and Curtis talk about an important role of math education: preparing students for the life they want to pursue after high school. Whether it’s college, trade school, the military, or directly into the work force, a student’s goals and desires should drive their learning experiences throughout their PK-12 years, and the course offerings, counseling and advising, and school system overall should, ideally, prepare all students for the outcomes they desire.

They recognize early in the conversation that this isn’t just about high school, isn’t just about co...

In this episode of Room to Grow, Joanie and Curtis explore ideas around the emotional side of learning and how it impacts students in their academic growth. Because we and our students are humans - and humans have emotions - it is impossible to learn without a connection to our emotions, whether those emotions are positive or negative. As educators reflect over the summer and begin to plan for the upcoming school year, we hope you’ll consider the emotional side of your students’ experiences in math class.

Joanie and Curtis suggest planning for the emotional experiences alon...

In this episode of Room to Grow, Joanie and Curtis talk about teaching strategies for remembering in mathematics, such as mnemonic devices, tricks, and gimmicks. 

They challenge the notion that teaching with tricks is inherently bad, and discuss how to determine when a strategy intended to help students learn might actually work against their understanding of the underlying mathematics. For instance, “FOIL” and “SOH-CAH-TOA” are both frequently taught in high school math classes, yet one is a way to remember mathematical definitions (not a trick!) and the other is a random association for a limited procedure (a trick...

In this episode of Room to Grow, Joanie and Curtis share a friendly debate about which math topic is the most important for students to learn.

There are many math topics that could be argued as the most important, and we’d love to hear your hot take, too!

Take a listen to Curtis explaining why the meaning of the equals sign is crucial and Joanie arguing that proportional relationships are especially important. Then reach out to agree with one of them, or share a different topic that you find most important.

We en...

In this episode of Room to Grow, Joanie and Curtis talk with Rachel Lambert, known for her research on teaching mathematics to students with disabilities. 

Rachel’s passion and enthusiasm is matched by her knowledge, and the combination makes for a powerful conversation full of great resources, ideas, and suggestions for classroom teachers. If you haven’t heard Rachel speak before, you are in for a treat!

We encourage you to explore the resources below, referenced in this episode:

In this episode of Room to Grow, Joanie and Curtis discuss and asset-based approach to teaching and learning mathematics.

They emphasize that all students bring strengths to learning mathematics, whether it be from a cultural, language, or ways of thinking lens, and that by assuming that all students have and bring strengths, math educators invite even more learners to be successful. As usual, our hosts share their personal experiences, anecdotes and ideas that they hope you’ll relate to.

We encourage you to explore the resources below, referenced in this episode:

In this episode of Room to Grow, Joanie and Curtis share a powerful conversation with Dr. Julia Aguirre, co-author of the book The Impact of Identity on K-8 Mathematics: Rethinking Equity-Based Practices.

This publication, and additional work led by Julia at the University of Washington, Tacoma, has influenced countless math educators across the country who want to ensure that all students have the opportunities, support, and classroom experiences that lead to deep learning of meaningful mathematics.

She challenges us all to not only bring our personal experiences and passions as teachers to our students, but...

In this episode of Room to Grow, Joanie and Curtis take some time to have fun with math. We share some of the puns, memes, and GIFs about math that make us laugh, make us think, and have been or would be great to share with students.

We all appreciate the chance to laugh, and although puns and memes are often silly and sometimes groan-worthy, sharing the lighter side of ourselves and of math with students is a great way to build relationships and classroom culture. No doubt, your students will appreciate knowing what makes you laugh...

In this episode of Room to Grow, Joanie and Curtis build the conversation from NCTM's description of access, described as "ensuring that all students routinely have opportunities to experience high-quality mathematics instruction, learn challenging mathematics content, and receive the support necessary to be successful."

Our hosts tackle this challenging topic by considering some important high-leverage components, particularly those that are within a classroom teachers’ locus of control. Ensuring that all students have high-quality instruction from an excellent teacher supports the learning of challenging mathematics content. Joanie and Curtis consider that “support for success” extends beyond academic support, and sp...

In this episode of Room to Grow, Curtis and Joanie dig into a conversation about data science. They start by trying to define what data science is, describing it as the intersection of content, statistics, computer science, problem solving. It is complex, and allows people to interact with information that content, statistics, or computer science couldn’t do alone. In our current technology and data rich world, this topic is timely, relevant, and growing in importance.

Curtis and Joanie describe data science as a process by which we start with a question we want to know the an...

In this episode of Room to Grow, Curtis and Joanie welcome Kevin Dykema, new President of the National Council of Teachers of Mathematics (NCTM). As a practicing classroom teacher, Kevin brings practical knowledge to his NCTM leadership. He reflects on they ways that most school systems have historically addressed students who are struggling in math class, to give them more-of-the-same, or a slower-and-louder approach, and how these typically don’t result in resolving students’ struggles.

Kevin suggests how to decide which mathematics topics are worth intervening on, recognizing that if we worry about student mastery of every sing...

In this episode of Room to Grow, Curtis and Joanie welcome Juliana Tapper, Math Intervention Specialist and Founder of CollaboratEd Consulting.

We start by apologizing for mispronouncing Juliana’s last name when she is introduced at the start of the podcast! Please note that her last name is Tapper, rather than Trapper. We are so sorry, Juliana!

Juliana brings her experience teaching and supporting middle and high school math teachers and math interventionists to help us consider ways to break what she calls the “struggle stigma” in math class. She grounds our conversation with powerful result...

In this episode of Room to Grow, Curtis and Joanie tackle ideas around rigor in mathematics. We start by defining what we mean by rigor, acknowledging that it’s a frequently used term that invokes different ideas and meanings! We believe that it means something different than just “difficult,” but frames a way of describing deep, robust, and applicable understanding of mathematical ideas, and we share a couple of visual images that help make sense of this complexity. 

Through our exploration of rigor as an integral part of learning math, we connect it to previous conversations about product...

In this episode of Room to Grow, Curtis and Joanie consider assumptions that we make during math instruction and how these have the potential to interfere with students’ understanding of the mathematics. Teachers know more math than their students, and as a teacher, it can sometimes be a challenge to remember what it was like before we knew and understood a math concept. This can lead us to inadvertently assuming that students are following our thinking or considering external knowledge that they actually might not yet have access to!

Our hosts get into some math content, specifically ta...

As we approach the end of the school year, this episode of Room to Grow addresses using self-reflection to celebrate the learning of the year. Our hosts use this definition: “Self-Reflection is the evaluation or judgement of one’s performance and the identification of one’s strengths and weaknesses with a view to improving one’s learning outcomes (Damore, 2017),” and start with unpacking this quote from John Dewey: “We don’t learn from experiences, we learn from reflecting on our experiences.” 

In the conversation, Curtis and Joanie suggest that reflecting at the end of a lesson, unit, month or school y...

In this episode, we discuss considerations for providing meaningful feedback to our students. We think this is a great follow-up to our last episode on grading! In preparing for our discussion, we learned about the research supporting effective feedback for learning, which includes suggestions around the type of feedback to give, when to give it, and how meaningful feedback is separate from grading. 

Our research articles suggest that feedback is not advice or criticism, but information that helps the receive to understand their next actions. Although it makes sense that students must engage with feedback in order f...

In this episode, we discuss grades in mathematics courses. Although we don’t claim to have a recommendation or even an opinion about what might be the right way to handle grades, we hope to bring up considerations for our listeners to talk about and think through as they reflect on their own grading practices.

We wonder if many grading practices are in place are just legacy practices, handed down and sustained by teacher teams and departments, or schools with prescribed grading requirements, and we recognize the challenges of balancing grades with academic performance as well as ot...

In this episode, we build on our previous conversation about fostering curiosity in our students by focusing on the role of math teachers in encouraging students to be curious and creative in math class. With full awareness that we are teaching and influencing students who will leave our classrooms and schools to go contribute to the world, and that we are preparing our students for jobs that don't exist now, we acknowledge how important it is to attend to a culture of curiosity and creativity in math classrooms. We talk about the importance of fostering intrinsic motivation so that...

In the first episode of Season 2, Curtis and Joanie discuss one of Curtis' favorite ideas - fostering curiosity and exploration in the math classroom. It's a common idea that math teachers can support students in "exploring the world through math," but in this episode we think about turning that phrase on its head and wondering how we can "explore mathematics through the world?" With this goal in mind, educators could provide experiences where they are asking the questions that drive their learning. 

Creating these experiences for students requires intentional teacher planning, and doesn't mean that we allow t...