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Sangwin, Christopher J.; Jones, Ian – Educational Studies in Mathematics, 2017
In this paper we report the results of an experiment designed to test the hypothesis that when faced with a question involving the inverse direction of a reversible mathematical process, students solve a multiple-choice version by verifying the answers presented to them by the direct method, not by undertaking the actual inverse calculation.…
Descriptors: Mathematics Achievement, Mathematics Tests, Multiple Choice Tests, Computer Assisted Testing
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Sadovsky, Patricia; Sessa, Carmen – Educational Studies in Mathematics, 2005
The purpose of the present article is to give an account of the emergence of knowledge pertaining to the transition from arithmetic to algebra in the course of a debate in a grade 7 classroom. This debate follows two other instances of work: (1) the adidactic interaction between each student and a given problem, (2) the adidactic interaction of…
Descriptors: Arithmetic, Algebra, Transitional Programs, Grade 7