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Lou, Hongwei – International Journal of Mathematical Education in Science and Technology, 2023
In current teaching materials, when using Dedekind cuts to construct real numbers, the definition of a Dedekind cut is always involved in defining addition and multiplication. In this paper, as it is done in many current textbooks, Dedekind cuts are used to construct the set of real numbers. Then the order in it is defined, and the…
Descriptors: Mathematics Instruction, Addition, Multiplication, Arithmetic
Hamdan, May – International Journal of Mathematical Education in Science and Technology, 2019
The literature dealing with student understanding of integration in general and the Fundamental Theorem of Calculus in particular suggests that although students can integrate properly, they understand little about the process that leads to the definite integral. The definite integral is naturally connected to the antiderivative, the area under…
Descriptors: Calculus, Mathematics Instruction, Teaching Methods, Mathematical Logic
Passarella, Simone – International Journal of Mathematical Education in Science and Technology, 2022
Introducing the distributivity property of multiplication over addition is a well-known challenge in mathematics education, especially in primary school. As a contribution, this paper presents the results of a cycle of design research that focuses on the design, implementation and evaluation of a modelling activity in which 2nd-grade students are…
Descriptors: Multiplication, Mathematics Instruction, Elementary School Students, Mathematical Concepts
Wessman-Enzinger, Nicole M.; Mooney, Edward S. – International Journal of Mathematical Education in Science and Technology, 2021
In this article, we report the findings of a study conducted with 6 Grade 8 students in the United States. The students posed stories for open number sentences involving addition and subtraction of integers. We analysed the stories posed by the students to build models that describe the conceptual structures behind these posed stories -- the…
Descriptors: Addition, Subtraction, Mathematics Instruction, Numbers
Li, Hui-Chuan – International Journal of Mathematical Education in Science and Technology, 2014
This study examines students' procedural and conceptual achievement in fraction addition in England and Taiwan. A total of 1209 participants (561 British students and 648 Taiwanese students) at ages 12 and 13 were recruited from England and Taiwan to take part in the study. A quantitative design by means of a self-designed written test is adopted…
Descriptors: Comparative Analysis, Addition, Mathematics Instruction, Foreign Countries