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Download full textBye, Jeffrey K.; Harsch, Rina M.; Varma, Sashank – Journal of Numerical Cognition, 2022
Algebraic thinking and strategy flexibility are essential to advanced mathematical thinking. Early algebra instruction uses 'missing-operand' problems (e.g., x - 7 = 2) solvable via two typical strategies: (1) direct retrieval of arithmetic facts (e.g., 9 - 7 = 2) and (2) performance of the inverse operation (e.g., 2 + 7 = 9). The current study…
Descriptors: Algebra, Problem Solving, Mathematics Instruction, Arithmetic
Direct linkDuffy, Gavin; Power, Jason; Sorby, Sheryl; Bowe, Brian – Engineering Design Graphics Journal, 2018
Spearman concluded that performance on any test of mental ability could be explained by several cognitive factors organized hierarchically as one general factor and several subordinate specific factors (Spearman, 1904, 1927). The general factor accounted for the significant amount of inter-correlation between all ability tests for any one…
Descriptors: Spatial Ability, Intelligence, Problem Solving, Word Problems (Mathematics)
McAlpin, Elizabeth; Shilane, David; Kalaycioglu, Selin – Journal of Computers in Mathematics and Science Teaching, 2018
Large foundational courses delivered in lecture halls are disadvantaged in eliciting participation from all students and maintaining engagement throughout the class session. We introduced a question-driven method facilitated by an audience response system, namely TopHat™, that allows the instructor to engage students in solving Calculus problems…
Descriptors: Audience Response Systems, Mathematics Instruction, Outcomes of Education, Instructional Effectiveness
