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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
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
Dobbs, David E. – International Journal of Mathematical Education in Science and Technology, 2017
Let R be a ring with identity. Then {0} and R are the only additive subgroups of R if and only if R is isomorphic (as a ring with identity) to (exactly) one of {0}, Z/pZ for a prime number p. Also, each additive subgroup of R is a one-sided ideal of R if and only if R is isomorphic to (exactly) one of {0}, Z, Z/nZ for an integer n = 2. This note…
Descriptors: Numbers, Mathematics Instruction, Mathematics, Algebra
Almeida, Rut; Bruno, Alicia – International Journal of Mathematical Education in Science and Technology, 2014
This paper analyses the strategies used by pre-service primary school teachers for solving simple addition problems involving negative numbers. The findings reveal six different strategies that depend on the difficulty of the problem and, in particular, on the unknown quantity. We note that students use negative numbers in those problems they find…
Descriptors: Preservice Teachers, Elementary School Teachers, Problem Solving, Elementary School Mathematics

Bruno, Alicia; Martinon, Antonio – International Journal of Mathematical Education in Science and Technology, 1999
Presents some results of a study on teaching negative numbers. Focuses on the identification of addition and subtraction, the use of the number line, additive problem solving, and the possibility of following several sequences of numerical extensions. Indicates the importance of previous ideas on positive numbers and how these ideas influence the…
Descriptors: Addition, Elementary Education, Mathematics Instruction, Number Concepts