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Polotskaia, Elena – International Journal for Mathematics Teaching and Learning, 2017
The main goal of this paper is to show how Vasily Davydov's powerful ideas about the nature of mathematical thinking and learning can transform the teaching and learning of additive word problem solving. The name Vasily Davydov is well known in the field of mathematics education in Russia. However, the transformative value of Davydov's theoretical…
Descriptors: Models, Mathematics Instruction, Foreign Countries, Problem Solving
Lai, Mun Yee; Murray, Sara – International Journal for Mathematics Teaching and Learning, 2012
In mathematics education, there has been tension between deep learning and repetitive learning. Western educators often emphasize the need for students to construct a conceptual understanding of mathematical symbols and rules before they practise the rules (Li, 2006). On the other hand, Chinese learners tend to be oriented towards rote learning…
Descriptors: Mathematics Education, Mathematics Achievement, Symbols (Mathematics), Rote Learning
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