Shows
Teaching Math Teaching PodcastEpisode 87: Roundtable Discussion: Opening Session of the AMTE Annual Conference, "Critical Conversations: AMTE Standards for Preparing Teachers of Mathematics In Social and Political Contexts" featuring Jenny Bay Williams, Liza Bondurant, Yvonne Lai, Richard Velasco, and Eva ThanheiserLearning to teach math teachers better by engaging in a roundtable discussion around the Opening Session of the Annual Conference of the Association of Mathematics Teacher Educators, featuring Jenny Bay Williams, Liza Bondurant, Yvonne Lai, Richard Velasco, and Eva Thanheiser, titled "Critical Conversations: AMTE Standards for Preparing Teachers of Mathematics In Social and Political Contexts".
Links from the episode:
Recording of the Opening Session
Standards for Preparing Teachers of Mathematics
Velasco, R. C. L. (2023, July). Constant Critical Reflexivity: Engaging in an Archaeology of Self to Promote Racial Literacy in a Math...2024-02-1452 min
Mathematics Teacher Educator PodcastEpisode 54: “Rahul is a Math Nerd” and “Mia Can Be a Drama Queen”: How Mixed-Reality Simulations Can Perpetuate Racist and Sexist StereotypesThis article focuses on using simulations of practice in teacher education. We studied preservice teachers’ engagement with a popular simulations platform, which creates mixed-reality simulations of five digital avatars controlled by a single live interactor. Because simulations are only an approximation of real practice, our overarching goal was to understand how mathematical stereotypes might arise in simulated spaces. We used Discourse analysis to classify the stereotypes present and the EQUIP observation tool to understand how PTs made participation opportunities available. We found that the simulations might have perpetuated
overtly racist and sexist stereotypes and that negatively stereotyped students we...2023-09-1336 minMathematics Teacher Educator PodcastEpisode 55: When Only White Students Talk: EQUIP-ing Prospective Teachers to Notice Inequitable ParticipationWe introduce a teacher learning practice called EQUIP-ing, which aims to foster sociopolitical noticing by leveraging EQUIP, an equity-oriented classroom observation tool. We detail our iterations of EQUIP-ing to a field-based Number Talk experience in a secondary mathematics methods course with 25 White prospective teachers (PTs). We offer empirical accounts of how EQUIP-ing empowered PTs to connect their teaching practices with racialized and gendered patterns of student participation; as a result, PTs began to reconsider taken-for-granted practices. However, we also found that PTs demonstrated potentially detrimental ways of attributing marginalizing patterns to minoritized students without actionable plans to redress the...2023-09-1321 minMathematics Teacher Educator PodcastEpisode 53: Building Mathematics Professional Development With an Explicit Attention to Concepts and Student Opportunities to Struggle FrameworkTwo broad categories of instructional practices, (a) explicitly attending to concepts and (b) fostering students’ opportunities to struggle, have been consistently linked to improving students’ mathematical learning and achievement. In this article, we describe an effort to build these practices into a framework that is useful for a diverse set of professional development (PD) offerings. We describe three examples of how the framework is used to support teacher learning and classroom instructional practice: a state-mandated course, lesson studies, and a large-scale teacher–researcher alliance. Initial findings suggest that consistently emphasizing this framework provides both content and structural guidance during PD dev...2023-08-3135 minMathematics Teacher Educator PodcastEpisode 48: Design Principles That Support Course Design Innovation for Elementary Mathematics Methods CoursesLearning to teach mathematics is a complex endeavor, requiring sustained focus and time. Yet time is especially scarce in elementary teacher education programs, where preservice teachers (PSTs) learn all content areas. Through a collaborative self-study, five teacher educators identified three time-related tensions in elementary mathematics methods courses: (a) teaching mathematics content and pedagogy; (b) connecting theory and practice; and (c) promoting social contexts in teaching mathematics. To address these tensions, we offer three design principles and illustrative examples: (a) addressing multiple goals for each course component; (b) developing PSTs’ dispositions over time; and (c) building on PSTs’ strengths to deve...2023-06-0233 minMathematics Teacher Educator PodcastEpisode 52: Adaptations to Support the Flint Water TaskThis Perspectives on Practice manuscript focuses on an innovation associated with “Engaging Teachers in the Powerful Combination of Mathematical Modeling and Social Justice: The Flint Water Task” from Volume 7, Issue 2 of MTE. The Flint Water Task has shown great promise in achieving the dual goals of exploring mathematical modeling while building awareness of social justice issues. This Perspectives on Practice article focuses on two adaptations of the task—gallery walks and What I Know, What I Wonder, What I Learned (KWL) charts—that we have found to enhance these learning opportunities. We found that the inclusion of a gallery walk sup...2023-06-0219 minMathematics Teacher Educator PodcastEpisode 44: Continuous Improvement Lesson Study: A Model of MTE Professional DevelopmentA group of mathematics teacher educators (MTEs) began a lesson study to develop a research-based lesson to engage elementary preservice teachers with professional teacher noticing within the context of multidigit multiplication. Afterward, MTEs continued teaching and revising the lesson, developing an integrated process that combined lesson study with the continuous improvement model. This article introduces the continuous improvement lesson study process, shares an example of how the process was used, and discusses how the process serves as a collaborative professional development model for MTEs across institutions.Special Guests: Dittika Gupta, Lara K. Dick, and Mollie Applegate.2022-10-2027 minMathematics Teacher Educator PodcastEpisode 45: From Argumentation to Truth-Telling: Critical Race Theory in Mathematics Teacher EducationCritical Race Theory (CRT) has entered into public discourse at an accelerated rate. Instead of using CRT as a basis to produce a more racially conscious populace, the latest hysteria, unfortunately, has centered on ban- ning CRT. Governmental actions have been instituted to establish executive orders to forbid CRT training. Administrators and educators have been written up, sus- pended, and even terminated for teaching about race. The current landscape around CRT is about censoring race-related discussions and obstructing any advance- ments in service to racial equity and justice. In the edu- cational arena, more than 20 states have banned CRT...2022-10-2037 minMathematics Teacher Educator PodcastEpisode 43: Developing Preservice Teachers’ Understanding of Area Through a Units InterventionPreservice elementary teachers (PSTs) often enter their teacher preparation programs with procedural and underdeveloped understandings of area measurement and its applications. This is problematic given that area and the area model are used throughout K–Grade 12 to develop flexibility in students’ mathematical understanding and to provide them with a visual interpretation of numerical ideas. This study describes an intervention aimed at bolstering PSTs’ understanding of area and area units with respect to measurement and number and operations. Following the intervention, results indicate that PSTs had both an improved ability to solve area tiling tasks as well as increased flexibility in the...2022-10-2037 minMathematics Teacher Educator PodcastEpisode 42: Language Demands Tool: Attuning Prospective Teachers’ Vision to the Role of Language in Mathematics EducationMathematics standards and practices highlight the vital role that language plays in mathematics education. However, there remains a common misconception
that mathematics is somehow language- free or less linguistically demanding than other content areas. This qualitative study describes an intervention implemented in six elementary mathematics methods courses. The intervention was designed to attune prospective teachers’ noticing to the language modalities and supports in mathematics teaching and learning. The intervention began with an observation tool that prospective teachers completed in their field placement classrooms. This article classifies prospective teachers’ noticings and explicates how these noticing became a pedagogical catalyst for...2022-10-0319 minMathematics Teacher Educator PodcastEpisode 41: Centering Professional Development Around the Instructional Quality Assessment RubricsIn this article we detail a research study using the Instructional Quality Assessment (IQA) Rubrics (Boston, 2012) as the frame for a professional development with mathematics teachers in grades 3-8. We wanted to create a professional development around a tool that was typically used in research as a way to observe teachers,
as a tool to use with teachers on their reflection of instruction. In this study we share both the researchers’ and teachers’ perspectives of affordances and constraints of the professional development and observational rubrics.Special Guests: Amber Candella and Melissa Boston.2022-10-0331 minTeaching Math Teaching PodcastEpisode 63: Courtney Koestler and Eva Thanheiser: Building Community to Center Equity and Justice in Mathematics Teacher EducationLearning to teach math teachers better with Courtney Koestler and Eva Thanheiser as they share their experiences and advice on being mathematics teacher educators and an opportunity to share how colleagues build community to center equity and justice in their teaching of math teachers.
Links from the episode
Call for Proposals: AMTE Professional Book Series, Vol 6 - Building Community to Center Equity and Justice in Mathematics Teacher Education
High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice
July Summer Book Club - High School Mathematics Lessons to Explore, Understand, and Respond...2022-05-0435 minMathematics Teacher Educator PodcastEpisode 40: Conversation with MTE editors: Vision, Submission Advice, Etc.Special Guests: Kate Johnson and Michael Steele .2022-03-1133 minMathematics Teacher Educator PodcastEpisode 39: Developing Skills for Exploring Children’s Thinking From Extensive One-on-One Work With StudentsIn this article, we share results from a field experience model in which junior-year methods classes were held in an elementary school and preservice teachers (PSTs) worked with a single student (a “Math Buddy”) on mathematics for 30 minutes per day. We focus on the development of PSTs’ skills for exploring children’s thinking and the structures and tools that we used to support this development. Data sources include screencast recordings of interactions with Math Buddies and written reflections completed by PSTs. Although the responsiveness of interactions varied across individuals and interactions, in general, PSTs showed improvements in exploring children’s thinking...2022-02-0834 minMathematics Teacher Educator PodcastEpisode 37: Supporting Preservice Teachers’ Growth in Eliciting and Using Evidence of Student Thinking: Show-Me NarrativeSpecial Guests: Esther M. H. Billings and Swartz, Barbara.2022-02-0835 minMathematics Teacher Educator PodcastEpisode 36: Supporting Prospective Teachers in Problem Solving: Incorporating Mindset Messaging to Overcome Math AnxietyProspective and practicing elementary teachers have historically demonstrated anxiety about mathematics, which can affect their mathematics teaching and their students’ math anxiety. Yet, developing productive dispositions prior to teacher preparation programs is rarely addressed in the research. We propose mindset messaging in mathematics courses as an intervention to influence prospective teachers’ (PSTs’) self-reported mathematical mindsets and math anxiety.
Survey results indicated shifts toward growth mindsets and decreases in math anxiety. Further analysis of PSTs’ written responses suggests that mindset messaging may support
PSTs in overcoming math anxiety, and that perseverance during problem solving is critical for PSTs’ ma...2022-02-0829 minMathematics Teacher Educator PodcastEpisode 38: Support and Enrichment Experiences in Mathematics (SEE Math): Using Case Studies to Improve Mathematics Teacher EducationThis article describes an innovation in an elementary mathematics education course called SEE Math (Support and Enrichment Experiences in Mathematics), which aims to support teacher candidates (TCs) as they learn to teach mathematics through problem solving while promoting equity during multiple experiences with a child. During this 8-week program, TCs craft and implement tasks that promote problem solving in the context of a case study of a child’s thinking while collecting and analyzing student data to support future instructional decisions. The program culminates in a mock parent– teacher conference. Data samples show how SEE Math offers TCs an oppo...2022-02-0831 minMathematics Teacher Educator PodcastEpisode 34: Mathematics Teachers’ Understanding of Privilege and OppressionThe Access, Allies, and Agency in Mathematical Systems project team designed
a professional development for mathematics teachers positioning equity at the systemic level and activities aimed at supporting mathematics teachers in considering the influence of privilege and oppression on mathematics teaching and learning (Scroggins, 2017). Here, we examine the levels of oppression activity, aimed at supporting mathematics teachers in understanding that oppression operates at multiple levels (i.e., as a system) and that these levels exist and operate in/on mathematics education. Such understanding can support mathematics teachers in disrupting inequities, and how mathematics teachers engage in this activity...2021-12-1631 minMathematics Teacher Educator PodcastEpisode 35: If the World Were a Village: Learning Mathematics While Learning About the WorldLong-standing and ongoing calls exist for making mathematics meaningful, relevant,
and applicable outside the classroom. Major mathematics education organizations (National Council of Teachers of Mathematics [NCTM], National Council of Supervisors of Mathematics [NCSM], Association of Mathematics Teacher Educators [AMTE], TODOS: Mathematics for ALL) have called for mathematics to be seen as a tool for understanding and critiquing the world. To prepare students and teachers to do this, we must go beyond “everyday” contexts and include analysis of social justice issues into our courses. We share an activity designed to address these calls while also addressing the mathematics goals of t...2021-12-1639 minMathematics Teacher Educator PodcastEpisode 32: Developing an Asset-Based View of Students’ Mathematical Competencies Through Learning Trajectory-Based Lesson StudyThis article details the design and implementation of a professional development model called Learning Trajectory-Based Lesson Study focused on issues of equity, identity, and agency. We developed the Vertical Articulation to Unpack the Learning Trajectory (VAULT) tool to orient teachers’ instructional planning toward an asset-based view of students’ mathematics competencies. We examined teachers’ use of the VAULT to plan, implement, and debrief on student strategies for one spatial reasoning task in elementary, middle, and high school classrooms. The VAULT facilitated intentional planning for a progression of anticipated strategies and equitable access to instruction. Teachers demonstrated an asset-based view of all st...2021-12-1633 minMathematics Teacher Educator PodcastEpisode 33: Exploring Power and Oppression: An Examination of Mathematics Teacher Educators’ Professional GrowthThe preparation of mathematics teacher educators (MTEs) varies widely, with little
guidance regarding the essential skills and knowledge necessary to tackle the field’s
looming challenges. Equitable access to, and engagement with, mathematics has
surfaced as an elusive goal of mathematics education organizations. MTEs, therefore, ought to identify and engage with resources that help them comprehend and confront systemic oppression and inequities. We present the process and reflections from an examination of MTEs’ professional growth through engagement in a collaborative interrogation of critical texts outside of mathematics education. Participation in this series of structured readings and dial...2021-12-1641 minTeaching Math Teaching PodcastEpisode 55: Hollylynne Lee: Linking Data Science and Teacher EducationDr. Hollylynne Lee shares her story of what happens when you're not afraid to create something new in mathematics teacher education. She describes the emerging and multidisciplinary field of Data Science, and provides practical advice for why and how listeners can incorporate Data Science into their work with mathematics teacher education.
Hollylynne has been actively involved in improving the teaching and learning of topics in probability and statistics throughout her career. Here are links to the projects that are mentioned in this episode. Many of them are freely available to mathematics teacher educators!
Data Science 4...2021-12-0144 minTeaching Math Teaching PodcastEpisode 54: Kyndall Brown: Moving Toward Greater Equity Through Statewide Professional Development and his Book, Choosing to See: A Framework for Equity in the Math ClassroomLearning to teach mathematics teachers better with Dr. Kyndall Brown, executive director at the California Mathematics Project, as he shares experiences and advice on being a mathematics teacher educator and discusses a book he co-authored with Pamela Seda, Choosing to See: A Framework for Equity in the Math Classroom.
Links
California Mathematics Project
Choosing to See: A Framework for Equity in the Math Classroom by Pamela Seda and Kyndall Brown
TODOS: Mathematics for ALL
California Mathematics Council
Teaching Math Teaching Podcast Virtual Suggestion BoxSpecial Guest: Kyndall Brown.2021-11-1731 minTeaching Math Teaching PodcastEpisode 53: Jean Lee: Holistic View of Math Teacher Education and Get the Facts OutLearning to teach math teachers better as Dr. Jean Lee shares her experiences and advice on being a mathematics teacher/mathematics teacher educator and her work as chair of the Association of Mathematics Teacher Educators Get the Facts Out Task Force, which is a partnership between four national societies to change the conversation around STEM teacher recruitment.
Links
View the Agenda and Register for the Get the Facts Out AMTE Pre-conference
Get the Facts Out
Mathematics Teacher Education Partnership
Project-Based Learning in Elementary Classrooms: Making Mathematics Come Alive By Jean S...2021-10-2733 minTeaching Math Teaching PodcastEpisode 48: Paola Sztajn and Dan Heck: Activating Math TalkLearning to teach math teachers better with Dr. Paola Sztajn and Dr. Dan Heck as we discuss their new book, Activating Math Talk, 11 Purposeful Techniques for Your Elementary Students.
https://www.teachingmathteachingpodcast.com/48
Link to the the book, Activating Math Talk, 11 Purposeful Techniques for Your Elementary Students by Paola Sztajn, Dan Heck, and Kristen Malzahn
https://us.corwin.com/en-us/nam/activating-math-talk/book263223
TMT Podcast Virtual Suggestion Box https://docs.google.com/forms/d/e/1FAIpQLSflSk_-4AvHf0K5Zr9inSynd0pHdF86kx90OLFpl03RvEUaow/viewformSpecial Guests: Dan Heck...2021-06-1738 minTeaching Math Teaching PodcastEpisode 47: Farshid Safi: Sense-Making and AdjustingFarshid Safi shares how learning experiences and life experiences should be connected. We are all influenced by our life experiences, where we are engaged in sense-making, exploration, adjusting, and working with other people towards a goal. These life experiences can inform, and be the setting for, learning experiences in mathematics. He advises us all to be at least as patient with ourselves professionally and personally as we would be with our students.
Online resources mentioned in this episode:
Mathigon
https://mathigon.org/
Desmos
https://www.desmos.com/
GeoGebra
https...2021-06-0331 minMathematics Teacher Educator PodcastEpisode 31: Learning to Launch Cognitively Demanding Tasks: A Practice-Based Unit for Secondary MethodsCognitively demanding tasks provide important opportunities for students to develop an understanding of mathematics; however, they are challenging to launch and implement. The authors designed a secondary methods unit on launching tasks. Participants in the study were enrolled in five different methods courses. Using a noticing framework, findings suggest that by engaging in the unit, preservice teachers developed a greater understanding of the four aspects of an effective task launch. When viewing video examples, preservice teachers were able to talk about the four aspects of a task launch with increased specificity. Additionally, they began to identify ways of developing...2021-06-0123 minMathematics Teacher Educator PodcastEpisode 30: Student Argumentation Work Sample Sorting Task and Teachers’ Evaluations of ArgumentsTo support teachers in implementing ambitious reform efforts, professional developers and teacher educators need to know more about teachers’ thinking about argumentation. Specifically, there is a need to understand more about teachers’ views and evaluations of students’ mathematical arguments as they play out in practice. In this article, we share a tool developed to elicit teachers’ pre- and post evaluations of students’ mathematical arguments on a problem-solving task. We discuss the design of the tool and provide evidence of its utility. Our findings indicate that the tool can be used to (a) identify changes in teachers’ evaluations of student mathematical...2021-05-2530 minTeaching Math Teaching PodcastEpisode 46: Dr. Dorothy Y. White: ADVOCACY in Mathematics Teacher EducationLearning to teach math teachers better with Dr. Dorothy Y. White we extend the conversation around Dorothy's talk she gave in receiving the Karen D. King Excellence in Advocacy Award at the Association of Mathematics Teacher Educators Annual Conference in February.
Mentioned links in the episode:
Cases for Mathematics Teacher Educators: Facilitating Conversations about Inequities in Mathematics Classrooms
https://www.amte.net/publications/prof-book-series
National Center for Faculty Development & Diversity
https://www.facultydiversity.org/
TMT Podcast Virtual Suggestion Box https://docs.google.com/forms/d/e/1FAIpQLSflSk_-4AvHf0K5Zr9i...2021-05-2042 minMathematics Teacher Educator PodcastEpisode 29: Double Demonstration Lessons: Authentically Participating in an Inquiry StanceResearch has shown that the ways in which teachers engage in professional development activities vary widely. Farmer et al. (2003) identified three levels of teacher appropriation within professional development, with their inquiry stance indicative of teachers engaging in self-sustaining practices. In our project, we modified the demonstration lesson format so that teachers took an active role in changing an observed lesson and then viewing the impact of those changes as a second lesson was taught. We share evidence that this modified structure provided opportunities for teachers to engage in an inquiry stance on teaching and discuss implications for professional development...2021-05-1828 minMathematics Teacher Educator PodcastEpisode 28: Supporting Preservice Secondary Mathematics Teachers’ Professional Judgment Around Digital Technology UseThe pervasiveness of digital technology creates an imperative for mathematics teacher educators to prepare preservice teachers (PSTs) to select technology to support students’ mathematical development. We report on research conducted on an assignment created for and implemented in secondary mathematics methods courses
requiring PSTs to select and evaluate digital mathematics tools. We found that PSTs primarily focused on pedagogical fidelity (ease of use), did not consider mathematical fidelity (accuracy), and at times superficially attended to cognitive fidelity (how well the tool reflects students’ mathematical thinking processes) operationalized as the CCSS for Mathematical Practice and Five Strands of Mathematical Prof...2021-05-1130 minMathematics Teacher Educator PodcastEpisode 27: Editorial February 2021: Considering Connections Across Research Questions, Data, Methods, and ClaimsA key component of a Mathematics Teacher Educator (MTE) journal article is a description of the innovation or tool that was used with teachers and a report of the details of the research on that innovation/tool. In our September editorial we highlighted the innovation. In this editorial, we will focus on the importance of aligning research questions, data, and claims with existing research and theories to present a strong and coherent argument about the contribution the innovation/tool makes to mathematics teacher education.Special Guests: Heather West and Karen Hollebrands,.2021-05-0518 minTeaching Math Teaching PodcastEpisode 44: Kyle Whipple: LGBTQ+ Inclusion in Mathematics EducationKyle discusses various forms of LGTBQ+ inclusion in mathematics education.
Mentioned links from the article
MTLT article by Brandie Waid Vol. 113, No. 11, November 2020
Supporting LGBTQ+ Students in K–12 Mathematics (pp. 874-886)
Brandie E. Waid
https://doi.org/10.5951/mtlt.2019.0403
https://www.jstor.org/stable/10.5951/mtlt.2019.0403
Lesson: Listen to GLSEN from High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice (free resource)
Learning for Justice
GLSEN https://www.glsen.org/
Mathematical Modelling Activity: The Spread of Gender-Inclusive Pronouns
Kyle Whipple, Susan St...2021-04-2925 minTeaching Math Teaching PodcastEpisode 41: Reimagining Mathematics Teacher Education with Dr. Naomi Jessup and Dr. Sandra CrespoWrapping up the AMTE Annual Conference Opening Panel Discussion, titled "2020. Perfect Vision? Perfect Hindsight? Are We Ready to Reimagine Mathematics Teacher Education?" with Dr. Naomi Jessup and Dr. Sandra Crespo.
Reimagining the STEM Education Pipeline for Teachers of Color
https://aaas-arise.org/2021/02/16/reimagining-the-stem-education-pipeline-for-teachers-of-color/
Heinemann Podcast: What We Do for the Love of Math with Heinemann Fellow Marian Dingle and Dr. Naomi Jessup
https://blog.heinemann.com/podcast-what-we-do-love-of-math-marian-dingle-naomi-jessupSpecial Guests: Naomi Jessup and Sandra Crespo.2021-03-1047 minTeaching Math Teaching PodcastEpisode 40: Theresa Wills: Teaching Math At a DistanceTheresa shares ideas and resources for online synchronous teaching. https://www.theresawills.com/Special Guest: Theresa Wills.2021-03-0331 minTeaching Math Teaching PodcastEpisode 39: No Guilt Book Club - Reimagining the Mathematics Classroom Creating and Sustaining Productive Learning Environments with Cathery Yeh, Mark W. Ellis, and Carolee Koehn HurtadoWrapping up the Teaching Math Teaching Podcast No Guilt Book Club with a conversation about the book, Reimagining the Mathematics Classroom Creating and Sustaining Productive Learning Environments with the book's authors, Cathery Yeh, Mark W. Ellis, and Carolee Koehn Hurtado.
Links
Reimagining the Mathematics Classroom Creating and Sustaining Productive Learning Environments
A Pathway to Equitable Math Instruction (equitablemath.org
Catalyzing Change
Youtube videos of the book chats
https://youtube.com/playlist?list=PLfzE8HAKJSYbR2iUhDKiyWXKbb1Bx1qWESpecial Guests: Carolee Koehn Hurtado, Cathery Yeh, and Mark W. Ellis.2021-02-1135 minTeaching Math Teaching PodcastEpisode 38: How to Attend a (Virtual) ConferenceLearning how to teach math teachers better by discussing how to attend a (virtual) conference. The co-hosts of the podcast, Eva Thanheiser, Dusty Jones, and Joel Amidon, share their ideas about how to virtualy "attend" the 25th Annual Conference of the Association of Mathematics Teacher Educators, and their general ideas about getting the most out of a conference experience.
Links from the Episode
AMTE.net https://amte.net/
Conference Program https://amte.net/sites/amte.net/files/2021AMTEConf_Program_FINAL.pdf2021-01-2738 minMathematics Teacher Educator PodcastEpisode 25: Creating a Third Space for Learning to Design Technology-Based Mathematics TasksIn this article, we examine the ways in which the creation of a third space can bridge the divide between coursework and practice for preservice secondary mathematics teachers (PSTs) taking a technology, pedagogy, and content course. A university-based instructor partnered with two high school teachers to create a space in which PSTs draw upon and use both academic and practitioner knowledge while creating technologybased tasks for high school students to use. Our results revealed increased focus on pedagogical decisions in areas such as technology-task design and questioning techniques. The data also indicate that the success of this collaboration was...2021-01-0535 minMathematics Teacher Educator PodcastEpisode 24: Representing Student Voice in an Approximation of Practice: Using Planted Errors in Coached Rehearsals to Support Teacher Candidate LearningApproximations of practice provide opportunities for teacher candidates (TCs) to engage in the work of teaching in situations of reduced complexity. A problem of practice for teacher educators relates to how to represent student voice in approximations to engage TCs with interactive practices in meaningful ways. In this article, we share an analysis of our use of “planted errors” in coached rehearsals with secondary mathematics TCs focused on the practice of responding to errors in whole-class discussion. We highlight how different iterations of the planted errors affect the authenticity of how student voice was represented in the rehearsals and the...2021-01-0529 minMathematics Teacher Educator PodcastEpisode 23: Exploring Real Numbers as Rational Number Sequences With Prospective Mathematics TeachersThe understandings prospective mathematics teachers develop by focusing on quantities and quantitative relationships within real numbers have the potential for enhancing their future students’ understanding of real numbers. In this article, we propose an instructional sequence that addresses quantitative relationships for the construction of real numbers as rational number sequences. We found that the instructional sequence enhanced prospective teachers’ understanding of real numbers by considering them as quantities and explaining them by using rational number sequences. In particular, results showed that prospective teachers reasoned about fractions and decimal representations of rational numbers using long division, the division algorithm, and diag...2021-01-0535 minMathematics Teacher Educator PodcastEpisode 26: Fostering Middle School Teachers’ Mathematical Knowledge for Teaching via Analysis of Tasks and Student WorkMathematical knowledge for teaching is a complex web of knowledge domains. In this article, we share findings from an 18-month professional development project that aimed to improve middle school mathematics teachers’ mathematical knowledge for teaching (MKT) of proportional reasoning by focusing on the critical analysis of mathematical tasks and student work. Although multiple studies have shown that professional development can contribute to teachers’ MKT globally, little is known about how this knowledge grows and how specific domains of MKT can be targeted through professional development. Findings in this study show how professional development positively influenced participants’ knowledge of content and te...2021-01-0536 minMathematics Teacher Educator PodcastEpisode 22: Interventions, Tools, and Equity-Oriented Resources in the MTE JournalThe Mathematics Teacher Educator journal is co-sponsored by the National Council of Teachers of Mathematics and the Association of Mathematics Teacher Educators. In June, both organizations released statements that call for mathematics teachers and mathematics teacher educators (MTEs) to “engage in anti-racist and trauma-informed education in our daily practices as processes of learning and adjustments” (NCTM, 2020) and to “actively work to be anti-racist in our acts of teaching, research, and service” (AMTE, 2020). This editorial highlights equity-related interventions and tools that can be implemented by MTEs. We reiterate statements made by NCTM and AMTE, describe key features of interventions and tools, a...2020-12-1424 minTeaching Math Teaching PodcastEpisode 37: Marrielle Myers: Supporting Preservice Teachers of ColorMarrielle Myers shares her story of becoming a mathematics teacher educator, and gives good advice about choosing service opportunities that align with professional goals, and allowing space for things that come up during the year.
When she was the coordinator for a large teacher preparation program, Marrielle noticed that preservice teachers of color were facing microaggressions that went unrecognized by their supervisors. She worked to create structural supports, supports for students, and training to help address these issues. Special Guest: Marrielle Myers.2020-12-1035 minTeaching Math Teaching PodcastEpisode 36: Colleen Eddy, Rick Hudson, and Michael Steele - AMTE 2021 Virtual ConferenceLearning how to teach math teachers better by discussing the Association of Mathematics Teacher Educators (AMTE), getting a picture of what this year's AMTE annual conference (Thursday - Saturday, Feb 11-13, 2021 and Thursday - Saturday, February 18-20, 2021 ) will look like this year as a virtual event, and sharing why listeners to this podcast should attend.
Also a quick note on the end of the episode about the #NoGuiltBookClub featuring Reimaginging the Mathematics Classroom by Cathery Yeh, Mark W. Ellis and Carolee Koehn Hurtado.
Links
AMTE Conference Page https://amte.net/conferences/conf2021
...2020-12-0357 minTeaching Math Teaching PodcastEpisode 35: Crystal Kalinec-Craig: Engaging in Humanistic Practices in Field ExperiencesCrystal Kalinec-Craig shares her experiences with teaching math teachers, and how she has benefitted from resources shared by colleagues. She recommends that mathematics teacher educators stay humble. Teaching during the pandemic is not normal, and she works to set the conditions for her class to let students be successful. She hopes that the practices of caring she's using now will continue when we return to face-to-face instruction.
Google Slide Deck
Jamboard
Olga Torres’s Casio Webinar, located at https://www.todos-math.org/casio-webinarsSpecial Guest: Crystal Kalinec-Craig.2020-11-1940 minTeaching Math Teaching PodcastEpisode 34: Yolanda Parker: Helping Teachers Develop a Relationship with MathematicsYolanda Parker shares how she helps her students, including prospective mathematics teachers, get more comfortable with their mathematical identity and develop a relationship with mathematics. She advocates for the use of manipulative materials, and works to engage students in discussion to build their understanding.
Yolanda is a Professor in the Mathematics Department at Tarrant County College, South Campus. In 2017, she was one of ten women selected by the National Society of Black Engineers DFW chapter for the "Hidden Figures of Dallas: Top Women of of Color in STEM" award.
Women Who Count: Honoring African American...2020-11-1225 minTeaching Math Teaching PodcastEpisode 33: Nico Gomez: Foregrounding Issues and Questions to Work on Our IdentityCarlos Nicolas (Nico) Gomez shares some thoughts and questions from his work on mathematical identity to help teachers (including mathematics teacher educators) be more purposeful in their teaching. These questions include "Who am I as a teacher?" "What should we be doing?" "Why should we be doing these things?"
Nico also shares about his role as a member of TODOS: Mathematics for ALL, and the importance of groups within professional organizations that are based on particular expressions of identity (e.g., race) to help members navigate places of belonging within the profession.
TODOS: Mathematics for ALL...2020-11-0541 minTeaching Math Teaching PodcastEpisode 32: Niral Shah & Daniel Reinholz: Observing Participation and Recognizing EquityLearning to teach math teachers better with Niral Shah and Daniel Reinholz as we discuss their background in mathematics teacher education and their work with EQUIP, a customizable observation tool for tracking patterns in student participation, with the intent being to empower teachers in building more equitable classrooms.
EQUIP: An Equity-focused Classroom Observation Tool https://www.equip.ninja
Racial Noticing Framework in Shah, N. & Coles, J. (2020). Preparing teachers to notice race in classrooms: Contextualizing the competencies of pre-service teachers with anti-racist inclinations. Journal of Teacher Education.
Daniel Reinholz Homepage: Access pre-prints of his...2020-10-2841 minTeaching Math Teaching PodcastEpisode 31: Babette Benken: Serving and LeadingBabette Benken shares advice about serving in an organization, and also about how to prepare oneself to lead others. She emphasizes the importance of considering passions when pursuing leadership roles. Volunteering is a great way to see how your passions fit within the activities and goals of an organization.
Within AMTE, she is the current Vice President for Publications. From this vantage point, she shares tips about writing for various AMTE publications, including Connections, Mathematics Teacher Educator, CITE Journal and book-length projects.
Volunteer form for AMTE
AMTE Publications overview
Submission Guidelines for Connections Newsletter2020-10-2227 minTeaching Math Teaching PodcastEpisode 30: Stephanie Casey: Teaching People to Teach StatisticsStephanie Casey describes her path from a mathematics teacher to a statistics teacher to a teacher educator who teaches people to teach statistics. She provides some helpful distinctions between mathematics and statistics, and shares the details about some projects she is working on. She reminds us that statistics involves numbers in a context, and recommends that people who teach statistics get familiar with statistics standards and get up-to-date with technology. Furthermore, she encourages the use of large data sets with multiple variables, and the use of simulation-based inference.
Here are links to some of the projects Stephanie...2020-10-1522 minTeaching Math Teaching PodcastEpisode 29: Keith Nabb: Teaching Mathematics in a Two-Year CollegeKeith Nabb shares his experiences in preparing teachers and teaching mathematics in two-year colleges. He has involved his students as co-authors in research. One example is a recent article about the Condo Problem, published in the September 2020 issue of Mathematics Teacher: Learning and Teaching PK-12 (Volume 113, Issue 9).
Keith is also interested in expanding the construct of Mathematical Knowledge for Teaching to early college mathematics, particularly in remedial and developmental mathematics settings. See here for the article in Connections.
Keith's website is https://www.keithnabb.com/
Other links mentioned in this podcast:
Dan Meyer's 3 Act...2020-10-0829 minTeaching Math Teaching PodcastEpisode 28: Aris Winger: Finding Discomfort in the Hard QuestionsListen in as we learn how to teach mathematics teachers better in this discussion with Aris Winger, Assistant Professor of Mathematics from Georgia Gwinnett College. In the discussion we learn about how Aris uses his position and professional development opportunities to shape mathematics teaching toward a better, more just world.
Books mentioned by Aris:
Privilege, Power, and Difference
by Allan G. Johnson
How to Be an Antiracist (Random House Large Print)
by Ibram X. Kendi
If you have enjoyed listening to this podcast and are interested in ohter episodes you...2020-09-3035 minMathematics Teacher Educator PodcastEpisode 21: Undergraduate Research in Mathematics Education: Using Qualitative Data About Children’s Learning to Make Decisions About TeachingUndergraduate research is increasingly prevalent in many fields of study, but it is not yet widespread in mathematics education. We argue that expanding undergraduate research opportunities in mathematics education would be beneficial to the field. Such opportunities can be impactful as either extracurricular or course-embedded experiences. To help readers envision directions for undergraduate research experiences in mathematics education with prospective teachers, we describe a model built on a design-based research paradigm. The model engages pairs of prospective teachers in working with faculty mentors to design instructional sequences and test the extent to which they support children’s learning. Undergraduates le...2020-09-1830 minTeaching Math Teaching PodcastEpisode 27: Carrie Cutler and Math Positive MindsetsCarrie Cutler is an award-winning Clinical Assistant Professor in the Department of Curriculum and Instruction at the University of Houston. She talks about how being a parent of eight children has helped her become a better teacher of math teachers. She describes her journey to today, and offers good advice about being humble, creating routines, and maintaining connections with students.
Carrie's book is Math Positive Mindsets: Growing a Child's Mind without Losing Yours: Amazon link
Carrie Cutler on YouTube: https://www.youtube.com/channel/UC_jdt7liCrGwCOkTM1Lowwg
Carrie's website: https://www.carriecutler...2020-09-1728 minMathematics Teacher Educator PodcastEpisode 20: Learning to Launch Complex Tasks: How Instructional Visions Influence the Exploration of the PracticeThis study investigates how the exploration phase of the teacher learning cycle provides 11 novice mathematics teachers with the opportunity to learn about the high-leverage practice of launching a complex task. Findings suggest that the exploration phase of the teacher learning cycle provides novice teachers with opportunities to reflect on how
to launch a complex task within the context of their own instructional practice. Because of this opportunity to deeply consider the pedagogical resource and reflect on it, novice teachers’ instructional visions were a filter through which they interpreted key instructional strategies offered up during the exploration phase of th...2020-09-1125 minTeaching Math Teaching PodcastEpisode 26: Cathery Yeh: Advocacy in Mathematics Education and BeyondCathery talks about family activism; her family with others in her community created their own community-based organization, Los Alamitos Community United, and they in partnership with ACLU sued their own city. They won a lawsuit against the city's anti-sanctuary policies. In addition, they won the inclusion of ethnic studies curriculum implementation through K-12, as well as a High School graduation requirement. Cathery states that activism has transformed her view of mathematics education. Cathery also co-authored the book re-imagining the mathematics classroom and talks about that.
Miseducasian on Twitter: @MisEducAsian
Chapman's #MathPlay Activity Series on YouTube: https://ww...2020-09-1031 minMathematics Teacher Educator PodcastEpisode 19: Do You See What I See? Formative Assessment of Preservice Teachers’ Noticing of Students’ Mathematical ThinkingDeveloping expertise in professional noticing of students’ mathematical thinking takes time
and meaningful learning experiences. We used the LessonSketch platform to create a learning
experience for secondary preservice teachers (PSTs) involving an approximation of teaching
practice to formatively assess PSTs’ noticing skills of students’ mathematical thinking.
Our study showed that approximations of teaching practice embedded within platforms
like LessonSketch can enable mathematics teacher educators (MTEs) to carry out effective
formative assessment of PSTs’ professional noticing of students’ mathematical thinking
that is meaningful for both PSTs and MTEs. The experience itself as well as its des...2020-09-0437 minTeaching Math Teaching PodcastEpisode 25: Lyndsi Hampton, a 5th-grade math and science teacher at Highland Elementary School.In our latest TMT podcast, we are talking with Lyndsi Hampton who is a 5th-grade math and science teacher and discusses various ways teachers can connect with students in their classroom, especially right now. She touches on
• Homemade manipulatives
• Place value chart
• Hundreds-charts
• Multiplication charts
• Fraction bars
• Creating videos and having students react to it
• Youtube video with instructions to make the materials
• Students could potentially create better videos
• Youtube video where the teacher looks silly
• Infographics
• Graph ocean levels (climate change)
• Data from rising ocean levels
• Then look a...2020-09-0435 minMathematics Teacher Educator PodcastEpisode 18: Design Principles for Examining Student Practices in a Technology-Mediated EnvironmentIn this article, we present a set of design principles to guide the development of
instructional materials aimed to support preservice secondary mathematics teachers
(PSMTs) examining student practices in technology-mediated environments. To
develop design principles, we drew on the literature related to technological
pedagogical content knowledge (TPACK; Niess, 2005), video cases as learning objects
(Sherin & van Es, 2005), and professional noticing (Jacobs, et al., 2010). After presenting
the design principles, we share a task created using these design principles. Finally, we
share PSMTs’ reflections about changes in their own understanding after examining
students’ practices. Thei...2020-08-2836 minTeaching Math Teaching PodcastEpisode 24: Math Ed Podcast: Alternative Field Experiences for Secondary Math TeachersThis is a special cross-over episode, where we share a recording from the Math Ed Podcast.
Math Ed Podcast is hosted by Sam Otten, and is available on most podcast apps and also at MathEdPodcast.com
In this episode, guests Michelle Cirillo and Kristen Bieda discuss their recent article about alternative field experiences for secondary math teachers. More information about this episode is available at https://www.podomatic.com/podcasts/mathed/episodes/2020-08-17T11_54_28-07_00Special Guest: Math Ed Podcast.2020-08-2631 minTeaching Math Teaching PodcastEpisode 22: Tiffany Tynes Curry: Discover voices, Find passion, Rewrite narrative, Create a culture in which everyone has something to contributeIn this episode, Dr. Curry, a former elementary mathematics teacher at Weinland Park Elementary and a current district instructional coach and leader, describes her four goals: Discover voices, Find a passion, Rewrite narrative, and Create a culture that everyone has something to contribute. Her goal is to utilize student voices, utilize their own thinking, as well as their identity.Special Guest: Tiffany D Tynes Curry.2020-08-1236 minTeaching Math Teaching PodcastEpisode 20: Theodore (Teddy) Chao: Technology, Twitter, and Balance in Teaching Math Teachers with Teddy ChaoTheodore (Teddy) Chao is Associate Professor, in the Department of Teaching and Learning, at The Ohio State University. In the episode we engage in a broad discussion of topics including technology, twitter and maintaining a healthy balance in doing the work of teaching math teachers.
Associated Links/Links mentioned in the episode
Teddy's website
Radical Cram SchoolSpecial Guest: Theodore Chao.2020-07-2934 minTeaching Math Teaching PodcastEpisode 19: Chris Bartlo: High School Math Teacher Discusses Math and Data Science in High SchoolChris is a High School Math and Computer Science teacher. Wilson, his school, is currently the only Portland Public Schools high school offering a comprehensive Computer Science program. We have a "standard" 4-year program along with many opportunities for independent study/projects. Please feel free to contact me if you have any questions about what we do here and you are welcome to check out the links to the left to see more of what we do in class!
Chris also won the Paul Allen Distinguished Educator Award and Presidential Awards for Excellence in Mathematics and Science Teaching...2020-07-2240 minTeaching Math Teaching PodcastEpisode 18: Ruth Heaton: Chief Executive Officer at Teachers Development GroupRuth Heaton is the Chief Executive Officer at Teachers Development Group, a nonprofit organization dedicated to improving all students’ mathematical understanding and achievement through meaningful, effective professional development for teachers and school leaders. We discuss TDGs' professional development with Ruth. Special Guest: Ruth Heaton.2020-07-1537 minTeaching Math Teaching PodcastEpisode 17: Nick Wasserman: Connecting Secondary Teaching to Advanced MathematicsDr. Nick Wasserman, Associate Professor at Teachers College, Columbia University, discusses his work in making explicit connections for secondary mathematics teachers about how the work of teaching (say, Algebra I) is related to advanced mathematics courses (such as Abstract Algebra).
Among other items, we discuss the book he recently edited, Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers, and his collaborative work on the NSF-funded project ULTRA: Upgrading Learning for Teachers in Real Analysis. Special Guest: Nick Wasserman.2020-07-0833 minMathematics Teacher Educator PodcastEpisode 17: Editorial: Analyzing Eight Years of Mathematics Teacher Educator Articles: Where We Were, Where We Are, and Where We Are GoingIn this editorial, an analysis of articles published in the Mathematics Teacher Educator journal (MTE) from 2012 to 2020, which describes the knowledge base for mathematics teacher educators addressed by MTE authors, is presented. This analysis builds on similar work conducted four years ago (Bieda, 2016). These more recent findings demonstrate that articles focusing on teacher knowledge; mathematical content; student thinking and reasoning;
and models of teacher preparation or in-service professional development (PD) have been the most frequently published in MTE. In contrast, a limited number of articles have focused on discourse; diversity, equity, and language; technology; and methods of research...2020-06-2934 minTeaching Math Teaching PodcastEpisode 15: Amanda Jansen: Summer Book Club - Rough Draft MathWrapping up the June edition of our Teaching Math Teaching Podcast Summer Book Club with a conversation about the book Rough Draft Math: Revising to Learn with the book's author Amanda Jansen.
Book -- https://www.stenhouse.com/content/rough-draft-math
Mathematics Teacher Educator article -- https://www.nctm.org/Publications/Mathematics-Teacher-Educator/2016/Vol4/Issue2/Inviting-Prospective-Teachers-to-Share-Rough-Draft-Mathematical-Thinking/
Mathematics Teaching in the Middle School article -- one of these links
https://www.jstor.org/stable/10.5951/mathteacmiddscho.22.5.0304#metadata_info_tab_contents
https://www.nctm.org/Publications/Mathematics-Teaching-in-Middle-School/2016/Vol22/Issue5/Rough-Draft-Talk-in-Mathematics-Classrooms/
Rough Draft Math video -- https://evathanheiser.wor...2020-06-2544 minMathematics Teacher Educator PodcastEpisode 16: Diverge then Converge: A Strategy for Deepening Understanding through Analyzing and Reconciling Contrasting Patterns of ReasoningOne of the challenges of teaching content courses for prospective elementary teachers (PTs) is engaging PTs in deepening their conceptual understanding of mathematics they feel they already know (Thanheiser, Philipp, Fasteen, Strand, & Mills, 2013). We introduce the Diverge then Converge strategy for orchestrating mathematical discussions that we claim (1) engenders sustained engagement with a central conceptual issue and (2) supports a deeper understanding of the issue by engaging PTs in considering both correct and incorrect reasoning. We describe a recent implementation of the strategy and present an analysis of students’ written responses that are coordinated with the phases of the discussion. We cl...2020-06-1831 minTeaching Math Teaching PodcastEpisode 16: Don Berg: Deeper LearningDon Berg is the Executive Director of Deeper Learning Advocates, which is on a mission to embed the psychology of learning in K-12 policy so that policy stops undermining learning. His expertise is in the psychology of motivation. It turns out that appropriate motivation is not a nice add-on for learning, it is a fundamental pre-requisite to the kind of learning we all want our children to do. I assume no one actually wants shallow and fake learning. 2020-06-1825 minTeaching Math Teaching PodcastEpisode 14: Jackie Murawska: STEM Coaching - Resources & Professional NetworksJackie Murawska talks about her position as a STEM Instructional Coach at a school district, along with resources that she has found helpful and the impact of professional networks and organizations. Jackie has also been a classroom teacher and university professor, and is the past president of the Illinois Council of Teachers of Mathematics.
During the podcast, Jackie mentioned these online resources:
NCTM Illuminations - https://illuminations.nctm.org/
Principles to Actions Professional Learning Toolkit - https://www.nctm.org/PtAToolkit/
Great Minds, Eureka Math - https://greatminds.org/math
Illustrative Mathematics...2020-06-1821 minMathematics Teacher Educator PodcastEpisode 15: Noticing Aloud: Uncovering Mathematics Teacher Noticing in the MomentUnderstanding mathematics teacher noticing has been the focus of a growing body of research, in which student work and classroom videos are often used as artifacts for surfacing teachers’ cognitive processes. However, what teachers notice through reflecting on artifacts of teaching may not be parallel to what they notice in the complex and demanding environment of the classroom. This article used a new technique, side-by-side coaching, to uncover teacher noticing in the moment of instruction. There were 21 instances of noticing aloud during side by side coaching which were analyzed and classified, yielding 6 types of teacher noticing aloud, including instances in...2020-05-2823 minTeaching Math Teaching PodcastBONUS: Announcing TMT Podcast Summer Book ClubWhat better way to grow as teachers of math teachers then to engage in professional learning together through the first ever Teaching Math Teaching Podcast Summer Book Club. In June we are reading Rough Draft Math: Revising to Learn by Amanda Jansen and in July we are reading High School Mathematics Lessons to Explore, Understand and Respond to Social Injustice, by Robert Q. Berry III, Basil Conway IV, Brian R. Lawler, John W. Staley, and colleagues. Get the books, start reading, join our social media engagements through Twitter and Instagram, and listen to our culminating episodes of the podcast...2020-05-2701 minTeaching Math Teaching PodcastEpisode 13: Lydia Klespis: Coaching Elementary Teachers during COVID-19Lydia Klespis talks about her experiences as an Instructional Coach for math and science at an elementary school. She describes how she continues to support teachers once the school building closed and instruction moved online.
In her 30-year career in education, she has embraced three responsibilities for good instructional coaching: (1) building strong interpersonal relationships with teachers, (2) understanding the vertical alignment of curriculum standards, and (3) sharing and modeling best practices for teaching.
In this episode, Lydia mentions using free apps from The Math Learning Center: mathlearningcenter.org/appsSpecial Guest: Lydia Klespis.2020-05-2024 minMathematics Teacher Educator PodcastEpisode 14: Supporting Teachers to Use Formative Assessment for Adaptive Decision MakingFormative assessment helps teachers make effective instructional decisions to support students to learn mathematics. Yet, many teachers struggle to effectively use formative assessment to support student learning. Therefore, teacher educators must find ways to support teachers to use formative assessment to inform instruction. This case study documents shifts in teachers’ views and reported use of formative assessment that took place as they engaged in professional development (PD). The PD design considered the formative assessment cycle (Otero, 2006; Popham, 2008) and embedded it within a pedagogical framework (Lamberg, 2013, in press) that took into account the process of mathematics planning and teaching while su...2020-05-1832 minTeaching Math Teaching PodcastEpisode 12: Patti Voelker: Teaching Math to Students with Dyslexia in Regular and Online EnvironmentsPatti talks about how to address Dyslexia, ADHD, processing speed etc in the mathematics classroom. She talks about how to adapt mathematics lessons to be inclusive in regular and online classrooms.
Here are some links that Patti shared with us durin gthe conversation.
Virtual manipulatives from Didax https://www.didax.com/math/virtual-manipulatives.html
Kami https://www.kamiapp.com/
Open Up Resources https://access.openupresources.org/curricula/our6-8math
youcubed https://www.youcubed.org/Special Guest: Patti Voelker.2020-05-0331 minTeaching Math Teaching PodcastEpisode 11: Jen Wolfe: Teaching Math Teachers during Covid-19Jen Wolfe shares how she teaches her content courses for future elementary school teachers online. She discusses Complex Instruction in Synchronous Settings. Special Guest: Jennifer Wolfe.2020-04-2927 minMathematics Teacher Educator PodcastEpisode 13: Visions of the Possible: Using Drawings to Elicit and Support Visions of Teaching MathematicsMathematics Teacher Educators (MTEs) help preservice teachers in transitioning from students to teachers of mathematics. They support PSTs in shifting what they notice and envision to align with the collective vision encoded in the AMTE and NCTM standards. This study analyzes drawings and descriptions completed at the beginning and end of a one-year teacher education program—snapshots depicting optimized visions of teaching and learning mathematics. This study analyzed drawings-and-descriptions by cohort and by participants. The findings suggest that the task can be used as formative assessment to inform supports for specific PSTs such as choosing a cooperating teacher or co...2020-04-2226 minTeaching Math Teaching PodcastEpisode 10: Zandra de Araujo: Equity in Synchronous Online TeachingZandra discusses equity issues in synchronous online teaching.
Links
Two Minute Teacher's GuideSpecial Guest: Zandra de Araujo.2020-04-2021 minTeaching Math Teaching PodcastEpisode 9: Mandy Jansen: Rough Draft Math in Regular and Online ClassroomsMandy Jansen discusses the use of rough draft math in both regular classrooms and online classrooms.
Links
Mandy's book Rough Draft Math: Revising to LearnSpecial Guest: Amanda Jansen.2020-04-1625 minTeaching Math Teaching PodcastEpisode 8: Abi Leaf & Brian Lawler: Mutually Beneficial Collaborations between Mathematics Content Specialist and University EducatorBrian and Abi discuss a mutually beneficial collaborative partnership between a university math educator and a mathematics content specialist. The focus of this podcast is the overhaul of a school district's math program. Special Guests: Abi Leaf and Brian Lawler.2020-04-1526 minTeaching Math Teaching PodcastEpisode 7: Toya Frank: Examining the Trajectories of Black Mathematics TeachersExamining the Trajectories of Black Mathematics Teachers seeks to better understand the promise and challenges of encouraging more black educators to choose mathematics teaching as a career.
If you have enjoyed listening to this podcast and are interested in ohter episodes you can see all episodes listed on this website or search by categries at https://evathanheiser.wordpress.com/tmt-podcast/Special Guest: Toya Frank.2020-04-0820 minMathematics Teacher Educator PodcastEpisode 12: Complex and Contradictory Conversations: Prospective Teachers Interrogating Dominant Narratives Within Mathematics Education DiscourseIn this conceptual piece, I explore complex and contradictory conversations during an idea mapping task in which prospective elementary teachers interrogated dominant discourses within mathematics education, such as “mathematics is everywhere” and “being a math person.” I argue that this exercise of engaging with contradictions provided prospective teachers with opportunities to tease out nuances for reconstructing ideas that generate new perspectives for teaching and learning mathematics. Sharing my experience with the idea mapping task as a case study, I offer an alternative role for mathematics teacher educators to consider—as facilitators who create spaces for prospective teachers to interrogate complex an...2020-04-0426 minTeaching Math Teaching PodcastEpisode 6: Rapidly Moving Instruction Online - Part 2The three hosts of the podcast follow up on their experience teaching online over the last week. They share things that went well such as creating a reminder video, creating a self-grading check-list, etc. and things that they wish had gone better.
If you have enjoyed listening to this podcast and are interested in ohter episodes you can see all episodes listed on this website or search by categries at https://evathanheiser.wordpress.com/tmt-podcast/2020-04-0124 minMathematics Teacher Educator PodcastEpisode 11: Using Coordinated Measurement with Future Teachers to Connect Multiplication, Division, and Proportional RelationshipsWe report results from a mathematics content course intended to help future teachers form a coherent perspective on topics related to multiplication, including whole-number multiplication and division, fraction arithmetic, proportional relationships, and linear functions. We used one meaning of multiplication, based in measurement and expressed as an equation, to support future teachers’ understanding of these topics. We also used 2 types of length- based math drawings—double number lines and strip diagrams—as media with which to represent relationships among quantities and solve problems. To illustrate the promise of this approach, we share data in which future secondary mathematics teachers genera...2020-03-2629 minTeaching Math Teaching PodcastEpisode 5: Rapidly moving instruction onlineThe three hosts of the podcast reflect on rapidly moving their courses online. They tackle the following questions:
What classes are you teaching?
How are you moving them online?
What resources were especially helpful?
How did it go?
They provide a list of resources they used and what has been particularly helpful to them.
If you have enjoyed listening to this podcast and are interested in ohter episodes you can see all episodes listed on this website or search by categries at https://evathanheiser.wordpress.com/tmt-podcast/2020-03-2536 minTeaching Math Teaching PodcastEpisode 4: Courtney Koestler & Matthew Felton-Koestler: How to run math summer camps for kidsMatt Felton-Koestler and Courtney Koestler discuss how they run summer camps for elementary and middle school children.
If you have enjoyed listening to this podcast and are interested in ohter episodes you can see all episodes listed on this website or search by categries at https://evathanheiser.wordpress.com/tmt-podcast/Special Guests: Courtney Koestler and Matt Felton-Koestler.2020-03-2218 minMathematics Teacher Educator PodcastEpisode 10: Engaging Preservice Secondary Mathematics Teachers in Authentic Mathematical Modeling: Deriving Ampere’s LawIncorporating modeling activities into classroom instruction requires flexibility with pedagogical content knowledge and the ability to understand and interpret students’ thinking, skills that teachers often develop through experience. One way to support preservice mathematics teachers’ (PSMTs) proficiency with mathematical modeling is by incorporating modeling tasks into mathematics pedagogy courses, allowing PSMTs to engage with mathematical modeling as students and as future teachers. Eight PSMTs participated in a model-eliciting activity (MEA) in which they were asked to develop a model that describes the strength of the magnetic field generated by a solenoid. By engaging in mathematical modeling as students, these PSMT...2020-03-2119 minTeaching Math Teaching PodcastEpisode 3: Brian Buckhalter and Candies Cook: Becoming a Math Coach in a School DistrictBrian and Candies are sharing their perspectives, one leaving the job of math coach the other starting.
If you have enjoyed listening to this podcast and are interested in ohter episodes you can see all episodes listed on this website or search by categries at https://evathanheiser.wordpress.com/tmt-podcast/Special Guests: Brian Buckhalter and Candies Cook.2020-02-2732 minMathematics Teacher Educator PodcastEpisode 9: The Three-Minute-Rehearsal Cycle of Enactment and InvestigationIn the last decade, mathematics teacher educators have begun to design learning opportunities for preservice mathematics teachers using a pedagogies-of-practice perspective. In particular, learning cycles provide a structure for engaging PSTs in learning to teach through the use of representations, approximations, and decompositions of practice (Grossman et al., 2009). In this article, we provide details of one learning cycle designed to support secondary mathematics preservice teachers’ learning to elicit and use evidence of student thinking and pose purposeful questions (National Council of Teachers of Mathematics, 2014). Through qualitative analyses conducted on learning reflections, we provide evidence of the impact on engagement of...2020-02-2621 minTeaching Math Teaching PodcastEpisode 2: Keith Leatham: Mentoring PhD Students and Early Career FacultyKeith gives advice to junior faculty and students on various elements of being a mathematics educator.
If you have enjoyed listening to this podcast and are interested in ohter episodes you can see all episodes listed on this website or search by categries at https://evathanheiser.wordpress.com/tmt-podcast/Special Guest: Keith Leatham.2020-02-2023 minTeaching Math Teaching PodcastEpisode 1: Bob Glasgow: Lone Mathematics Educator in a Math DepartmentBob Glasgow is the lone mathematics educator in his math department shares some tricks of the trade. He shared that he went out to classrooms a lot and collaborated with classroom teachers.
If you have enjoyed listening to this podcast and are interested in ohter episodes you can see all episodes listed on this website or search by categries at https://evathanheiser.wordpress.com/tmt-podcast/Special Guest: Bob Glasgow.2020-02-0321 minTeaching Math Teaching PodcastEpisode 0: Introducing Teaching Math Teaching PodcastMeet Eva Thanheiser, Dusty Jones, and Joel Amidon as they introduce the new Teaching Math Teaching podcast. Learn a little bit about each of their backgrounds and what will be covered on the shows. 2020-02-0310 minMathematics Teacher Educator PodcastEpisode 8: Engaging Teachers in the Powerful Combination of Mathematical Modeling and Social Justice: The Flint Water TaskTwo major challenges in mathematics teacher education are developing teacher understanding of (a) culturally responsive, social justice–oriented mathematics pedagogies and (b) mathematical modeling as a content and practice standard of mathematics. Although these challenges may seem disparate, the innovation described in this article is designed to address both challenges in synergistic ways. The innovation focuses on a mathematical modeling task related to the ongoing water crisis in Flint, Michigan. Through qualitative analysis of instructor field notes, teacher- generated mathematical models, and teacher survey responses, we found that teachers who participated in the Flint Water Task (FWT) engaged in ma...2019-09-1226 minMathematics Teacher Educator PodcastEpisode 7: Noticing and Wondering: A Language Structure to Support Mentoring ConversationsTeachers and mathematics teacher education scholars have identified field experiences and quality mentoring as influential components of math teacher preparation and development. Yet, quality mentoring is a complex and demanding practice. Providing educative feedback to novices, particularly that which encourages reflection versus evaluation, can be challenging work for mentors. To study the potential of an intervention for providing professional development for mentors, I worked with pairs of mentors and prospective teachers (PSTs) offering Smith’s (2009) noticing and wondering language as a way of structuring mentoring conversations that maintain both descriptive and interpretive analytic stances. Analysis of before and after co...2019-08-1225 minMathematics Teacher Educator PodcastEpisode 6: The Decision-Making Protocol for Mathematics CoachingMore than ever, mathematics coaches are being called on to support teachers in developing effective classroom practices. Coaching that influences professional growth of teachers is best accomplished when mathematics coaches are supported to develop knowledge related to the work of coaching. This article details the implementation of the Decision-Making Protocol for Mathematics Coaching (DMPMC) across 3 cases. The DMPMC is a framework that brings together potentially productive coaching activities (Gibbons & Cobb, 2017) and the research-based Mathematics Teaching Practices (MTPs) in Principles to Actions: Ensuring Mathematical Success for All (NCTM, 2014) and aims to support mathematics coaches to purposefully plan coaching interactions. The...2019-08-0232 minMathematics Teacher Educator PodcastEpisode 5: The Student Discourse Observation Tool: Supporting Teachers in Noticing Justifying and GeneralizingIn classrooms, students engage in argumentation through justifying and generalizing. However, these activities can be difficult for teachers to conceptualize and therefore promote in their classrooms. In this article, we present the Student Discourse Observation Tool (SDOT) developed to support teachers in noticing and promoting student justifying and generalizing. The SDOT serves the purpose of (a) focusing teacher noticing on student argumentation during classroom observations, and (b) promoting focused discussion of student discourse in teacher professional learning communities. We provide survey data illustrating that elementary-level teachers who participated in professional development leveraging the SDOT had richer conceptions of justifying...2019-06-1224 minMathematics Teacher Educator PodcastEpisode 4: Preservice Teachers’ Mathematical Visual Implementation for Emergent BilingualsUsing visuals is a well-known strategy to teach emergent bilinguals (EBs). This study examined how preservice teachers (PSTs) implemented visuals to help EBs understand mathematical problems and how an innovative intervention cultivated PSTs’ capability of using visuals for EBs. Four middle school mathematics PSTs were engaged in a field experience with EBs to work on mathematical problems; during the field experience, the PSTs received interventions. In one intervention session, the PSTs were asked to make sense of a word problem written in an unknown language with different visuals. After this intervention, they changed their use of visuals when modifying ta...2019-03-0721 minMathematics Teacher Educator PodcastEpisode 3: Assessing Prospective Teachers’ Analysis of Teaching: How Well Can They Link Teaching and Learning?One goal in teacher education is to prepare prospective teachers (PTs) for a career of systematic reflection and learning from their own teaching. One important skill involved in systematic reflection, which has received little research attention, is linking teaching actions with their outcomes on student learning; such links have been termed hypotheses. We developed an assessment task to investigate PTs’ ability to create such hypotheses, prior to instruction. PTs (N = 16) each read a mathematics lesson transcript and then responded to four question prompts. The four prompts were designed to vary along research-based criteria to examine whether different contexts influenced PT...2019-02-0222 minMathematics Teacher Educator PodcastEpisode 2: Using Narrative Writing to Learn What Beginning Teachers NoticeThis article shares the authors’ use of written teaching replays as part of a professional development experience for beginning secondary mathematics teachers. This form of narrative writing is inspired by Horn’s (2010) descriptions of teachers sharing their practice in professional learning communities. In this study, written teaching replays are used to gain insights about what beginning teachers noticed about their teaching practice and whether these noticings highlighted dilemmas or successes in their teaching practice. The analysis of teaching replays indicated that, despite being in their first years of teaching, these beginning teachers’ narrative writings focused least on management issues. Instea...2019-02-0227 minMathematics Teacher Educator PodcastEpisode 1: Encouraging Teachers to Make Use of Multiplicative StructureThe literature has shown that preservice elementary school teachers (PSTs) struggle to adequately attend to a number’s multiplicative structure to determine divisibility. This study describes an intervention aimed at strengthening preservice and in-service teachers’ procedural knowledge with respect to using a number’s prime factorization to identify its factors, and presents evidence of the impact of the intervention. Results point toward improved abilities to use a number’s prime factorization to sort factors and nonfactors across four factor subtypes, to create factor lists, and to construct numbers with particular divisibility properties. Implications for mathematics teacher education include providing specific...2019-01-3029 min