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Direct linkKaren S. Karp; Sarah B. Bush; Barbara J. Dougherty – Mathematics Teacher: Learning and Teaching PK-12, 2025
Even though there is a great temptation as teachers to share what is known, many are aware of an idea called "rules that expire" (RTE) and have realized the importance of avoiding them. There is evidence that students need to understand mathematical concepts and that merely presenting rules to carry out in a procedural and disconnected…
Descriptors: Teaching Methods, Mathematics Instruction, Arithmetic, Mathematical Concepts
Theresa Wills; Jennifer Suh; Kate Roscioli; Amanda Guzman; Jennifer Everdale; Sandra Lee – Mathematics Teacher: Learning and Teaching PK-12, 2023
This article describes "Build It!--The Rectangle Game" task that uses the context of a game to develop mathematical generalizations based on strategy. The underlying mathematics in this game-based task is for students to discover factors and prime and composite numbers through 100. The playful use of "The Rectangle Game"…
Descriptors: Educational Games, Teaching Methods, Geometric Concepts, Generalization
Hallman-Thrasher, Allyson; Strachota, Susanne; Thompson, Jennifer – Mathematics Teacher: Learning and Teaching PK-12, 2021
Inherent in the Common Core's Standard for Mathematical Practice to "look for and express regularity in repeated reasoning" (SMP 8) is the idea that students engage in this practice by generalizing (NGA Center and CCSSO 2010). In mathematics, generalizing involves "lifting" and communicating about ideas at a level where the…
Descriptors: Mathematics Instruction, Generalization, Preservice Teachers, Algebra
