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Bye, 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
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Black, W. K.; Matz, Rebecca L.; Mills, Mark; Evrard, A. E. – Physical Review Physics Education Research, 2023
Problem Roulette (PR), an online study service at the University of Michigan, offers points-free formative practice to students preparing for examinations in introductory science, technology, engineering, and mathematics courses. Using four years of PR data involving millions of problem attempts by thousands of students, we quantify the benefits…
Descriptors: Physics, Science Instruction, Teaching Methods, Introductory Courses
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Frey, Regina F.; Cahill, Michael J.; McDaniel, Mark A. – Journal of Chemical Education, 2017
One primary goal of many science courses is for students to learn creative problem-solving skills; that is, integrating concepts, explaining concepts in a problem context, and using concepts to solve problems. However, what science instructors see is that many students, even those having excellent SAT/ACT and Advanced Placement scores, struggle in…
Descriptors: Science Instruction, Problem Solving, Predictor Variables, Chemistry