Vary the intensity of pedagogical scaffolding along three dimensions—grouping, structure, and language—with the same rigorous prompt.
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Varying the Intensity of Scaffolding for English Learners
Haiwen Chu, Jill Neumayer DePiper, and Leslie Hamburger
GPS: Teaching Shapes Inclusively
Samuel Otten, Tiffany J. LaCroix, Faustina Baah, and Rebekah Hanak
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.
Building Equitable Math Talk Classrooms
Karen C. Fuson and Steve Leinwand
The power of Number Talks and extensions that can build to an equitable Math Talk Classroom
Keeping Your Finger on the Pulse of SEL
José Martínez Hinestroza and Vanessa Abreu
Children analyzed data to read their bodies and manage their emotions. To avoid controlling children’s bodies and emotions, the authors encourage teachers to embrace children’s unanticipated responses.
S3D: Small-Group, Student-to-Student Discourse
Sarah Quebec Fuentes
Learn about strategies and tools to examine and improve your practice with respect to fostering equitable small-group, student-to-student discourse.
Problems to Ponder
Chris Harrow and Justin Gregory Johns
Problems to Ponder provides 28 varying, classroom-ready mathematics problems that collectively span PK–12, arranged in the order of the grade level. Answers to the problems are available online. Individuals are encouraged to submit a problem or a collection of problems directly to mtlt@nctm.org. If published, the authors of problems will be acknowledged.
Math Chat Opportunities Abound!
Alice Aspinall
This article describes how fortuitous mathematical moments should be noticed, encouraged, embraced, and capitalized upon.
Revisiting Reinhart for Uncertain Teaching Times
Mindy Kalchman
Process-oriented, question-asking techniques provide a framework for approaching modern challenges, including modality pivots and student agency.
The Discovery of Wonderful Ideas
Enrique Ortiz
This article presents an example of discovering an idea through creative play. After some trial and error, I drew a wonderful image, which I later learned was a two-dimensional view of a four-dimensional shape called tesseract.
Facilitating Student-Created Math Walks
Min Wang, Candace Walkington, and Koshi Dhingra
An example of an after-school club activity gives educators some tools and suggestions to implement such an approach in their schools.
