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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
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)
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
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
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
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
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