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Direct linkKieran, Carolyn; Martínez-Hernández, Cesar – ZDM: Mathematics Education, 2022
"They are the same" is a phrase that teachers often hear from their students in arithmetic and algebra. But what do students mean when they say this? The present paper researches the notion of sameness within algebraic thinking in the context of generating equivalent numerical equalities. A group of Grade 6 Mexican students (10- to…
Descriptors: Mathematical Concepts, Algebra, Equations (Mathematics), Arithmetic
Menon, Ramakrishnan – International Journal for Mathematics Teaching and Learning, 2009
Sixty four preservice teachers taking a mathematics methods class for middle schools were given 3 math problems: multiply a three digit number by a two digit number; divide a whole number by a fraction; and compare the volume of two cylinders made in different ways from the same rectangular sheet. They were to a) solve them, explaining their…
Descriptors: Preservice Teachers, Mathematics Instruction, Methods Courses, Knowledge Base for Teaching
