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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

Shahbari, Juhaina Awawdeh – International Journal for Mathematics Teaching and Learning, 2017

The study investigates the mathematical and the pedagogical content knowledge among in-service and pre-service first- and second-grade mathematics teachers. The sample of 300 subjects consisted of 150 first- and second-grade in-service teachers and 150 pre-service teachers studying in a college of education, 75 of whom were first-year students and…

Descriptors: Mathematics Skills, Pedagogical Content Knowledge, Mathematics Instruction, Elementary School Teachers

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

Çelik, Derya – International Journal for Mathematics Teaching and Learning, 2015

Linear algebra is one of the most challenging topics to learn and teach in many countries. To facilitate the teaching and learning of linear algebra, priority should be given to epistemologically analyze the concepts that the undergraduate students have difficulty in conceptualizing and to define their ways of reasoning in linear algebra. After…

Descriptors: Algebra, Mathematics Instruction, Mathematical Concepts, Concept Formation

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)

Ortiz, Enrique – International Journal for Mathematics Teaching and Learning, 2014

Students start to memorize arithmetic facts from early elementary school mathematics activities. Their fluency or lack of fluency with these facts could affect their efforts as they carry out mental calculations as adults. This study investigated participants' levels of brain activation and possible reasons for these levels as they solved…

Descriptors: Brain Hemisphere Functions, Arithmetic, Problem Solving, Measurement Equipment

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

Muir, Tracey; Livy, Sharyn – International Journal for Mathematics Teaching and Learning, 2012

The main aim of this paper is to report on an investigation into primary pre-service and inservice teachers' content knowledge of decimals. The participants were asked to complete four decimal tasks including the ordering of decimals, operating with decimals and converting a fraction to a decimal. The results from both sets of participants are…

Descriptors: Number Concepts, Comparative Analysis, Misconceptions, Knowledge Base for Teaching

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

Cheng, Qiang; Wang, Jian – International Journal for Mathematics Teaching and Learning, 2012

As a key concept in early mathematics curriculum, number sense is crucial for children's learning of other mathematics concepts. An earlier curriculum with a strong focus on number sense development presumably helps children perform better in mathematics later on. Chinese students outperformed their United States (U.S.) peers on number sense at…

Descriptors: Mathematics Curriculum, Textbooks, Foreign Countries, Number Concepts

Samuelsson, Joakim – International Journal for Mathematics Teaching and Learning, 2011

In this study, we investigated to what extent arithmetic ability and self-regulated learning skills in the beginning of lower secondary school predicts measures of students' performance in mathematics at the end of lower secondary school. Arithmetic ability and self-regulated learning skills were tested the first two weeks in lower secondary…

Descriptors: Mathematics Achievement, Academic Achievement, Numbers, Arithmetic

Skoumpourdi, Chrysanthi – International Journal for Mathematics Teaching and Learning, 2010

The aim of this paper is to investigate the ways in which the number line can function in solving mathematical tasks by first graders (6 year olds). The main research question was whether the number line functioned as an auxiliary means or as an obstacle for these students. Through analysis of the 32 students' answers it appears that the number…

Descriptors: Grade 1, Mathematics Instruction, Problem Solving, Mathematical Applications

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

Samo, Mashooque Ali – International Journal for Mathematics Teaching and Learning, 2009

Algebra uses symbols for generalizing arithmetic. These symbols have different meanings and interpretations in different situations. Students have different perceptions about these symbols, letters and signs. Despite the vast research by on the students' difficulties in understanding letters in Algebra, the overall image that emerges from the…

Descriptors: Student Attitudes, Word Problems (Mathematics), Algebra, Misconceptions