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Ibrahim, Bashirah; Ding, Lin; Heckler, Andrew F.; White, Daniel R.; Badeau, Ryan – Physical Review Physics Education Research, 2017
We examine students' mathematical performance on quantitative "synthesis problems" with varying mathematical complexity. Synthesis problems are tasks comprising multiple concepts typically taught in different chapters. Mathematical performance refers to the formulation, combination, and simplification of equations. Generally speaking,…
Descriptors: Equations (Mathematics), Problem Solving, Mathematics Instruction, Task Analysis
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Heckler, Andrew F.; Bogdan, Abigail M. – Physical Review Physics Education Research, 2018
A critical component of scientific reasoning is the consideration of alternative explanations. Recognizing that decades of cognitive psychology research have demonstrated that relative cognitive accessibility, or "what comes to mind," strongly affects how people reason in a given context, we articulate a simple "cognitive…
Descriptors: Science Process Skills, Abstract Reasoning, Thinking Skills, Physics