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Karakus, Fatih – International Journal for Mathematics Teaching and Learning, 2018
Although the topic of division by zero has been widely discussed in the literature, this subject is still confusing for students, pre-service teachers and teachers. Because of this, teachers at various grade levels may encounter difficulties in conveying the concept to their students. Therefore, in order to provide students with a strong…
Descriptors: Preservice Teachers, Pedagogical Content Knowledge, Arithmetic, Mathematics Instruction
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
Preservice Elementary Teachers' Understanding of Operations for Fraction Multiplication and Division
Whitehead, Ashley; Walkowiak, Temple A. – International Journal for Mathematics Teaching and Learning, 2017
This study examined preservice elementary teachers' change in their understanding of fraction operations while taking a mathematics methods course focused on grades 3-5. The preservice teachers (n = 48) completed an assessment before and after the course's unit on the teaching and learning of fractions. Specifically, the preservice teachers were…
Descriptors: Preservice Teachers, Elementary School Teachers, Fractions, Multiplication
Cheng, Lu Pien – International Journal for Mathematics Teaching and Learning, 2015
In this study, ways in which 9-year old students from one Singapore school solved 1-step and 2-step word problems based on the three semantic structures were examined. The students' work and diagrams provided insights into the range of errors in word problem solving for 1- step and 2-step word problems. In particular, the errors provided some…
Descriptors: Foreign Countries, Elementary School Students, Elementary School Mathematics, Word Problems (Mathematics)
Lai, Mun Yee; Murray, Sara – International Journal for Mathematics Teaching and Learning, 2014
Mathematics educators have had a long standing interest in students' understanding of decimal numbers. Most studies of students' understanding of decimals have been conducted within Western cultural settings. Similar research in other countries is important for a number of reasons, perhaps most importantly because it can provide insights that may…
Descriptors: Foreign Countries, Mathematical Concepts, Numbers, Cultural Differences