Facilitating Meaningful Mathematics Discourse

Room to Grow - a Math Podcast

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In this episode of Room to Grow, Joanie and Curtis begin a season 5 series on the Mathematics Teaching Practices from NCTM’s Principles to Actions, celebrating it’s 10th anniversary. This month’s practice is “Facilitating Meaningful Mathematics Discourse.” Our hosts first identify what they mean by discourse and why it is important: that students are able to communicate their mathematical thinking in ways that others can clearly understand for the purpose of furthering their own mathematics learning.

Next, Curtis and Joanie unpack how to get students talking in math class, a necessary condition for meaningful math discourse. Classroom culture is a key element to ensure that students feel safe and comfortable enough to share their mathematical thinking. Implied in this is that the teacher must hold themselves to precision of language as well, and should understand when to require precision from students and when to be more flexible with informal language.

Finally, their conversation suggests that effective math discourse is not improvisational, but rather something teachers can and should plan for, and use as a strategy for an equitable classroom.

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

· Strategies for facilitating math discourse in the classroom

· Latrenda Knighten, NCTM President’s message on Let’s Give Students the Gift of Time

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.

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#Science #Math #Kids And Families #Room to Grow Math #Math Education #Mathematics #Podcasting Education #Room To Grow

Room to Grow - a Math Podcast

Facilitating Meaningful Mathematics Discourse

Room to Grow - a Math Podcast

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MP3•בית הפרקים

Finally, their conversation suggests that effective math discourse is not improvisational, but rather something teachers can and should plan for, and use as a strategy for an equitable classroom.

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

· Strategies for facilitating math discourse in the classroom

· Latrenda Knighten, NCTM President’s message on Let’s Give Students the Gift of Time

47 פרקים

#Science #Math #Kids And Families #Room to Grow Math #Math Education #Mathematics #Podcasting Education #Room To Grow

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Room to Grow - a Math Podcast

1
Promoting Reasoning and Problem Solving with Tasks 24:57

לפני 24 ימים24:57

24:57

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 “Implement Tasks that Promote Reasoning and Problem Solving.” Our hosts being by expounding on the difference between selecting a task and implementing it, and that selecting a good task does not guarantee good implementation. They bust the idea that the only way to engage students in reasoning and problem solving is with a rich task, by considering how educators can weave together procedural learning with conceptual understanding. Next, they connect reasoning and problem solving to the Standards of Mathematical Practice, particularly practices 7: Attend to and make use of structure and 8: Look for and express regularity in repeated reasoning. Capitalizing on students’ natural noticing and shining the light on the underlying mathematics leads to stronger connections and increasing students’ ability to generalize their understanding. By building a foundation of reasoning and sense-making, and helping students understand that this is a resource for them tap into, that allows for the learning and engagement beyond rote classroom experiences. 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 · Selecting and Creating Mathematical Tasks article from Smith and Stein · A Teacher’s Guide to Reasoning and Sense-Making from NCTM 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.…

Room to Grow - a Math Podcast

1
Facilitating Meaningful Mathematics Discourse 31:27

לפני 7 weeks31:27

31:27

In this episode of Room to Grow , Joanie and Curtis begin a season 5 series on the Mathematics Teaching Practices from NCTM’s Principles to Actions, celebrating it’s 10th anniversary. This month’s practice is “Facilitating Meaningful Mathematics Discourse.” Our hosts first identify what they mean by discourse and why it is important: that students are able to communicate their mathematical thinking in ways that others can clearly understand for the purpose of furthering their own mathematics learning. Next, Curtis and Joanie unpack how to get students talking in math class, a necessary condition for meaningful math discourse. Classroom culture is a key element to ensure that students feel safe and comfortable enough to share their mathematical thinking. Implied in this is that the teacher must hold themselves to precision of language as well, and should understand when to require precision from students and when to be more flexible with informal language. Finally, their conversation suggests that effective math discourse is not improvisational, but rather something teachers can and should plan for, and use as a strategy for an equitable classroom. 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 · Strategies for facilitating math discourse in the classroom · Latrenda Knighten, NCTM President’s message on Let’s Give Students the Gift of Time 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.…

Room to Grow - a Math Podcast

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What we’ve learned this year 35:24

לפני 11 weeks35:24

35:24

In this episode of Room to Grow , Joanie and Curtis reflect on their personal and professional experiences of 2024 and what they learned. Reflect – conferences, books, podcast guests. Thinking differently about teaching and learning math. Hope you’ll take the time to reflect and capture your own learning. Curtis and Joanie reference these episodes of Room to Grow which aired in 2024: · Teaching and Learning Math: Students’ Perspectives Part 1 (aired August 28, 2024) and Part 2 (aired September 17, 2024) · Routines for Supporting Student Thinking with Grace Kelemanik and Amy Lucenta (aired October 16, 2023) · Unleashing the Mathematical Brilliance of All Students with Rachel Lambert (aired April 10, 2023) · Balancing Instructional Modalities (aired March 12, 2024) · Asset-Based Teaching to Transform Math Class with Mike Steele and Joleigh Honey (aired October 15, 2024) · A Conversation with the National Teacher of the Year with Rebecka Peterson (aired February 13, 2024) · High School Mathematics Reimagined Revitalized and Relevant with Latrenda Knighten and Kevin Dykema (aired November 12, 2024) Additional referenced content includes: · The book Transform Your Math Class Using Asset-Based Teaching for Grades 6-12 · The work of Liping Ma, including her book K nowing and Teaching Elementary Mathematics · Rachel Lambert’s research and resources at mathematizing4all.com · Kevin Dykema’s President’s Message on Balancing Instructional Strategies in the Math Classroom · NCTM’s Reimagining High School Mathematics resources on the NCTM webpage 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 roomt…

Room to Grow - a Math Podcast

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High School Mathematics Reimagined Revitalized and Relevant 55:23

לפני 16 weeks55:23

55:23

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. The new “three Rs” of high school math build on NCTM’s previous high school publication, Catalyzing Change in High School Mathematics: Initiating Critical Conversations from 2018, and give practical examples and suggestions to engage students in mathematical and statistical modeling, make connections across major concepts, and using mathematical and statistical processes as a frame for student thinking. We encourage you to explore the resources below, referenced in this episode: o You can find NCTM’s webpage dedicated to supporting the book HERE o NCTM’s webinar about the book was recorded and is available to all HERE o More information about the Launch Years Pathways work out of the Charles A. Dana Center at the University of Texas at Austin can be found HERE o Guidelines for Assessment and Instruction in Statistics Education (GAISE) reports can be found HERE 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 Twitter and Instagram: @JoanieFun and @cbmathguy.…

Room to Grow - a Math Podcast

1
Asset-Based Teaching to Transform Math Class 57:41

לפני 21 weeks57:41

57:41

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 which are already in common use in classrooms, and how to ensure these routines fall more on the asset side of the continuum than on the deficit side. Finally, the conversation shifts to the larger educational structures that could benefit from a more asset-focused lens. We encourage you to explore the resources below, referenced in this episode: · Mike and Joleigh’s book, Tranform your math class using asset-based teaching for grades 6-12 can be found here · Learn more about Mike Steele here or here and about Joleigh Honey here or here · Mike and Joleigh both serve on the NCTM Board of Directors 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 Twitter and Instagram: @JoanieFun and @cbmathguy.…

Room to Grow - a Math Podcast

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Teaching and Learning Math: Students’ Perspectives - Part 2 50:22

לפני 25 weeks50:22

50:22

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 their thoughts about homework. Once again, these students shared some really powerful ideas, and we hope they get you thinking! We encourage you to explore the resources below, referenced in this episode: · Riya’s Ramblings podcast – find on your favorite podcast platform or HERE on Apple Podcasts · Not the article Joanie mentioned, but some other great ideas for teaching students how to study Teaching Students to Use Evidence-Based Study Strategies Five Ways to Teach Students the Skill of Active Studying Teaching Your Students How to Study Resources for thinking about homework NCTM resources related to homework Ideas for Assigning More Meaningful Math Homework 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 Twitter and Instagram: @JoanieFun and @cbmathguy.…

Room to Grow - a Math Podcast

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Teaching and Learning Math: Students’ Perspectives - Part 1 22:07

לפני 27 weeks22:07

22:07

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, to move around and actively engage students in the lesson, and understanding, supporting, and normalizing that students learn at different paces. Future episodes center on the conversations around homework and the importance of their teachers in forming their own mathematical identity and the culture of learning in the classroom. You may be surprised at how much you learn from these students. We encourage you to explore the resources below, referenced in this episode: Riya’s Ramblings podcast – find on your favorite podcast platform or HERE on Apple Podcasts Resources for getting students talking in math class Blog post on developing math language routines Blog post with strategies for supporting mathematics discourse in your classroom Resources for getting students up and moving in class Blog post with ideas for beginning, middle and end of class Blog post with easy to implement ideas 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 Twitter and Instagram: @JoanieFun and @cbmathguy.…

Room to Grow - a Math Podcast

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Part 2: Wisconsin Math Council’s CALL to Action 35:44

לפני 33 weeks35:44

35:44

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, referenced in this episode: Wisconsin Mathematics Council: https://www.wismath.org/ 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 Twitter and Instagram: @JoanieFun and @cbmathguy.…

Room to Grow - a Math Podcast

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Part 1: Wisconsin Math Council’s CALL to Action 25:05

לפני 37 weeks25:05

25:05

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, referenced in this episode: Wisconsin Mathematics Council: https://www.wismath.org/ 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 Twitter and Instagram: @JoanieFun and @cbmathguy.…

Room to Grow - a Math Podcast

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Making Sense of Mathematics 40:42

לפני 43 weeks40:42

40:42

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 mathematical skills and fluency, but that it is a part of deep learning and of a student’s ability to generalize their understanding. As Peter Liljedahl says in Building Thinking Classrooms, “The goal of building thinking classrooms is not to find engaging tasks for students to think about. The goal of thinking classrooms is to build engaged students that are willing to think about any task.” We encourage you to explore the resources below, referenced in this episode: The Standards for Mathematical Practice , now referenced in most states’ math standards and originally published by the Council of Chief State School Officers and the Governor’s Association; Jo Boaler’s Math-ish book and website ; Peter Liljedahl’s book and website Building Thinking Classrooms , and Robert Kaplinsky’s blog post about why you should read it. 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 Twitter and Instagram: @JoanieFun and @cbmathguy.…

Room to Grow - a Math Podcast

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Balancing Instructional Modalities 37:02

לפני 52 weeks37:02

37:02

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, and our hosts each share a personal example of taking opportunities to encourage sense-making in students. We encourage you to explore the resources below, referenced in this episode: NCTM President Kevin Dykema’s President’s message that sparked this episode: https://www.nctm.org/News-and-Calendar/Messages-from-the-President/Archive/Kevin-Dykema/Balancing-Instructional-Strategies-in-the-Math-Classroom/ TI’s Building Concepts lesson on structure in solving equations: https://education.ti.com/en/t3-professional-development/for-teachers-and-teams/online-learning/on-demand-webinars/2016/building-concepts-foundations-for-success-in-expressions-and-equations A sample problem-based curriculum for middle school (NOT the one Curtis’ son uses!): https://curriculum.illustrativemathematics.org/MS/teachers/what_is_pbc.html 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 Twitter and Instagram: @JoanieFun and @cbmathguy.…

Room to Grow - a Math Podcast

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A conversation with the National Teacher of the Year 48:50

לפני 1 year48:50

48:50

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 focuses on connections with students – connections to each other, to school, to the content, and to their communities. She reflects on current struggles facing math education systems, and her belief that choice could drive better student engagement, more student learning, and less teacher burnout. We encourage you to explore the resources below, referenced in this episode: Learn more about the National Teacher of the Year program HERE See Rebecka’s NCTM Handout with more detail about her “Connections” talk and resources she uses in her own classroom Learn more about Explore Mathematics by Sam Shah , mentioned by Rebecka Learn more about Rebecka’s End-of-unit creative summary project Visit Rebecka’s NTOY webpage HERE Direct link to press kit (including photos) Direct link to request Rebecka Connect with and learn more about Rebecka Peterson Instagram - @Rebeckapeterson_ X (formerly Twitter) - @RebeckaMozdeh Medium blog - medium.com/@rebeckapeterson 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 (formerly Twitter) and Instagram: @JoanieFun and @cbmathguy.…

Room to Grow - a Math Podcast

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Uncovering Student Thinking 33:38

לפני 1 year33:38

33:38

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 unit – we can focus students on the smaller grain size ideas instead of helping them to place their learning in the bigger picture of mathematics as a whole. As always, the episode recognizes that teachers work very hard at a very complex task: teaching young minds to deeply understand important mathematics! We encourage you to explore the resources below, referenced in this episode: “Listening to and Learning from Student Thinking,” by Elham Kazemi, Lynsey K. Gibbons, Kendra Lomax, and Megan L. Franke from Teaching Children Mathematics , October 2016. “Making Student Thinking Public,” by Shari Stockero and Laura R. Van Zoest from The Mathematics Teacher, May 2011. “Attending to Evidence of Students’ Thinking during Instruction,” by Miriam Gamoran Sherin and James Lynn, from Mathematics Teaching in the Middle School , May 2019. The Five Practices for Orchestrating Productive Mathematical Discussions by Margaret Smith and Mary Kay Stein, ISBN: 978-1-68054-016-1 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 Twitter and Instagram: @JoanieFun and @cbmathguy.…

Room to Grow - a Math Podcast

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Deep Mathematical Thinking Using Math Milestones Tasks 42:28

לפני 1 year42:28

42:28

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 for free online, include a set of teacher notes that support using these tasks to better understand the math of each grade level, and to engage educators in conversations that get to the depth of the intended learning. Additional work is being done to provide “asset maps,” resources that allow educators to use student work and responses to the Math Milestones tasks to better understand and build upon students’ strengths. We encourage you to explore the resources below, referenced in this episode: Learn more about the Math Milestones project on their website HERE Find the grade level grids (sets of tasks) HERE Review the teacher notes for each grade level HERE Explore additional resources to support teaching the standards from Student Achievement Partners 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 Twitter and Instagram: @JoanieFun and @cbmathguy.…

Room to Grow - a Math Podcast

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Impacting Teaching Practice with Routines for Reasoning 43:38

לפני 1 year43:38

43:38

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 on and on! The routines are a support for teachers to use a structure for learning that frees them up to be responsive to the students in the moment. As we learned in the previous episode, the routines help teachers to (a) focus on student thinking, (b) get out of the middle of learning, and (c) support students’ productive struggle. These concrete strategies engage all learners in mathematical thinking, supporting special populations from the start rather than requiring an additional set of approaches to support them. Additionally, the routines create student agency in mathematics, providing ways for students to listen to, engage with, and learn from one another. We encourage you to explore the resources below, referenced in this episode: Be sure to explore Grace Kelemanik and Amy Lucenta’s website, Fostering Mathematical Practices … … and their books, Routines for Reasoning and Teaching for Thinking . Explore infographics, tasks, and more for the Connecting Representations routine. See the Connecting Representations routine in action in this classroom video . Be sure to go back and listen to Part 1 of this conversation if you haven’t already!! 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 Twitter and Instagram: @JoanieFun and @cbmathguy.…

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Facilitating Meaningful Mathematics Discourse