Many students have a dominant part-whole conception of fractions. We examine why this is problematic and explore strategies to move students beyond this limitation.
Beware of “Gaps” in Students’ Fraction Conceptions
Patrick L. Sullivan, Joann E. Barnett, and Kurt Killion
Building Algebraic Procedures From Concepts: Like Terms
Leah M. Frazee and Adam R. Scharfenberger
This task sequence for adding and subtracting like terms—grounded in the concepts of equivalence and algebra as generalized arithmetic—helps students see connections between concepts and procedures in algebra.
Digital Learning Routes: An Example of Mathematical Modeling
Salomé Martínez, Flavio Guiñez, and Darío González
An online activity provides instructional strategies that can help students engage in mathematical modeling and autonomous learning.
Encouraging Students to LOVE MATH with One-Straight-Cut Letters
Yi-Yin (Winnie) Ko, Connor A. Goodwin, Lauren Ream, and Grace Rebber
One-straight-cut activities engage middle-school students in learning about symmetry and geometric transformations.
GPS: Composing and Decomposing Shapes Across the Grades
Kyle Carpenter and Sarah Roller Dyess
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.
Modeling exponential growth with crochet.
Teaching Is a Journey: Evolving Mathematician
Taajah Felder Witherspoon
Math mentors, challenging math problems, and empowered students are crucial for math growth in both students and educators.
Varying the Intensity of Scaffolding for English Learners
Haiwen Chu, Jill Neumayer DePiper, and Leslie Hamburger
Vary the intensity of pedagogical scaffolding along three dimensions—grouping, structure, and language—with the same rigorous prompt.
The Beauty of Regular Hexagons
The author shares geometry that inspires him.
Broken Ceiling Lights: Circular Area Without the Radius
Nicholas J. Gilbertson
A customer walks in to a lighting store with a broken ceiling light, and the solution to finding a replacement glass illuminates an alternative approach to finding the circumference and area of a circle without knowing the circle’s center, radius, or diameter.