Growing Problem Solvers provides four original, related, classroom-ready mathematical tasks, one for each grade band. Together, these tasks illustrate the trajectory of learners’ growth as problem solvers across their years of school mathematics.
GPS: Good Measures
Daniel K. Siebert and Monica G. McLeod
Building Coherence and Progression on Sound Frameworks
Travis Lemon and Scott Hendrickson
A robust framework can support teachers and their students’ learning.
Are We Preparing Agents of Change or Instruments of Inequity? Teaching Toward Antiracist Mathematics Teacher Education
Joel Amidon, Anne Marie Marshall, and Rebecca E. Smith
The authors began this work with the understandings that (a) there is no “neutral” when it comes to the teaching of mathematics, and (b) mathematics teacher educators need to do something to help produce teachers of mathematics that develop students’ relationships with mathematics and push against the inequities that exist both within and outside of the classrooms in which they will teach. In response, the authors created, deployed, and studied a learning module in an attempt to enact antiracist mathematics teacher education. The learning module activities, the findings about the learning from the prospective teachers who engaged in the module, and messages for mathematics teacher educators who want to engage in this work are shared.
“Rahul is a Math Nerd” and “Mia Can Be a Drama Queen”: How Mixed-Reality Simulations Can Perpetuate Racist and Sexist Stereotypes
Liza Bondurant and Daniel Reinholz
This 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 were afforded lower-quality opportunities to participate. We discuss how to mitigate potential harm caused and offer guidance for redesigning more equitable and antiracist simulations. Our goal is to raise critical questions for our field around the use of simulations of practice.
Fostering Quantitative Reasoning Through a Question of Fairness
An instructional activity positions students’ quantitative reasoning as the central mechanism of problem solving based on the notions of fairness and reasonableness.
“Reflections on High-Quality Math Instruction”
Blake E. Peterson, Douglas L. Corey, Benjamin M. Lewis, Jared Bukarau, and Introduction by: Wendy Cleaves
From the Archives highlights articles from NCTM’s legacy journals, previously discussed by the MTLT Journal Club.
Same Task but Different Learning Goals
Stephanie D. Sigmon, Kelly Q. Halpin, Damien J. Ettere, and Jennifer Suh
This article models how to plan and facilitate implementing the same task in two sixth-grade classrooms with two different learning goals using the Five Practices structure.
Using Number Talks to Compare Fractions
George J. Roy, Kristin E. Harbour, Christie Martin, and Matthew Cunningham
Using this strategy, a teacher facilitates a short conversation during which students verbally explain and justify reasoning. We have found that a coordinated series of number talks supports students’ reasoning when comparing fractions.
Tackling Tangential Student Contributions
Blake E. Peterson, Shari L. Stockero, Keith R. Leatham, and Laura R. Van Zoest
Do your students ever share ideas that are only peripherally related to the discussion you are having? We discuss ways to minimize and deal with such contributions.
Learning Trajectories for Vertical Coherence
Jere Confrey, Meetal Shah, and Alan Maloney
Three learning trajectories and their connections show how to promote vertical coherence in PK–12 mathematics education.