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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
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
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
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