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Samuel B. Allan; Peter K. Dunn; Robert G. McDougall – International Journal of Mathematical Education in Science and Technology, 2024
In this note we demonstrate two instances where matrix multiplication can be easily verified. In the first setting, the matrix product appears as matrix element concatenation, and in the second, the product coincides with matrix addition. General proofs for some results are provided with a more complete description for 2×2 matrices. Suggested for…
Descriptors: Mathematics Instruction, Teaching Methods, Multiplication, Addition
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
Birgin, Osman; Gürbüz, Ramazan; Memis, Kafiye Zeynep – International Journal of Mathematical Education in Science and Technology, 2022
The aim of this study was to investigate second-grade elementary school students' performance related to their counting skills, place value understanding, and addition operation in natural numbers. A total of 205 second-grade elementary school students from Turkey participated in this study. The data were collected through a 'Personal Information…
Descriptors: Grade 2, Elementary School Students, Computation, Number Concepts
Sahin, Ömer; Danaci, Dönsel – International Journal of Mathematical Education in Science and Technology, 2022
This study aims to investigate the effect of history-of-mathematics activities on the development of mental computation of middle-grade students and to determine the students' views on the history of mathematics. This study was carried out as an action research project. The participants of the study consisted of 19 seventh-grade students studying…
Descriptors: Mathematics Education, History, Mathematics Activities, Middle School Students
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