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Carney, Michele B.; Smith, Everett; Hughes, Gwyneth R.; Brendefur, Jonathan L.; Crawford, Angela – Mathematics Education Research Journal, 2016
Proportional reasoning is important to students' future success in mathematics and science endeavors. More specifically, students' fluent and flexible use of scalar and functional relationships to solve problems is critical to their ability to reason proportionally. The purpose of this study is to investigate the influence of systematically…
Descriptors: Cognitive Style, Learning Strategies, Problem Solving, Mathematical Aptitude
Bofferding, Laura; Richardson, Sue Ellen – North American Chapter of the International Group for the Psychology of Mathematics Education, 2013
Fifteen elementary and secondary teacher candidates solved sixteen integer addition and subtraction problems during think-aloud interviews. Investigators further probed participants' solution strategies as well as what they noticed first when starting a new problem. Task analyses of participants' solutions led to the creation of two distinct maps…
Descriptors: Task Analysis, Addition, Subtraction, Numbers

Demby, Agnieszka – Educational Studies in Mathematics, 1993
A class of 32 fourth graders, who studied inverse operations in grades 1-3, was given 3 written tests, each followed by an interview, to see how well they could simplify computations using inverse operations. Most could not evaluate 28 + 75 - 75, for example, without performing all operations. (GW)
Descriptors: Arithmetic, Computation, Elementary Education, Elementary School Mathematics