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Dae S. Hong – North American Chapter of the International Group for the Psychology of Mathematics Education, 2023
This study explores opportunities to learn definite integrals in three widely used textbooks in the U.S. Definitions, worked examples, and exercise problems were coded using research-based cognitive resources in definite integrals. The results show that limited opportunities for students to explore multiplicative relationship between two…
Descriptors: Mathematics Instruction, Teaching Methods, Calculus, Mathematical Concepts
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Wittmann, Michael C.; Black, Katrina E. – Physical Review Special Topics - Physics Education Research, 2015
Students learning to separate variables in order to solve a differential equation have multiple ways of correctly doing so. The procedures involved in "separation" include "division" or "multiplication" after properly "grouping" terms in an equation, "moving" terms (again, at times grouped) from…
Descriptors: Mathematics, Calculus, Problem Solving, Mechanics (Physics)