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Stephan, Michelle; Akyuz, Didem – Journal for Research in Mathematics Education, 2012
This article presents the results of a 7th-grade classroom teaching experiment that supported students' understanding of integer addition and subtraction. The experiment was conducted to test and revise a hypothetical learning trajectory so as to propose a potential instructional theory for integer addition and subtraction. The instructional…
Descriptors: Mathematics Education, Numbers, Concept Formation, Subtraction
Timmermans, Rudolf E.; Van Lieshout, Ernest C. D. M.; Verhoeven, Ludo – Learning and Instruction, 2007
Effects of guided (GI) and direct instruction (DI) in solving subtraction problems for mathematically low performers in regular schools were compared. In the GI condition, self-development of solution procedures was encouraged whereas in the DI condition one prescribed strategy was to be used. Forty children (M[subscript age] = 9.3 years) were…
Descriptors: Subtraction, Constructivism (Learning), Gender Differences, Mathematics Instruction
Bergeron, Jacques C., Ed.; And Others – 1987
The Proceedings of PME-XI has been published in three separate volumes because of the large total of 161 individual conference papers reported. Volume I contains four plenary papers, all on the subject of "constructivism," and 44 commented papers arranged under 4 themes. Volume II contains 56 papers (39 commented; 17 uncommented)…
Descriptors: Addition, Affective Behavior, Algebra, Arithmetic

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