Publication Date
In 2025 | 0 |
Since 2024 | 1 |
Since 2021 (last 5 years) | 8 |
Since 2016 (last 10 years) | 15 |
Since 2006 (last 20 years) | 53 |
Descriptor
Source
International Journal of… | 66 |
Author
Dobbs, David E. | 7 |
Oxman, Victor | 3 |
Donnell, William A. | 2 |
Fukawa-Connelly, Timothy | 2 |
Guyker, James | 2 |
Rensaa, Ragnhild Johanne | 2 |
Stupel, Moshe | 2 |
Abramovich, S. | 1 |
Aidoo, Anthony Y. | 1 |
Austin, Homer W. | 1 |
Barabe, Samuel | 1 |
More ▼ |
Publication Type
Journal Articles | 65 |
Reports - Descriptive | 50 |
Reports - Research | 11 |
Reports - Evaluative | 4 |
Education Level
Higher Education | 25 |
Postsecondary Education | 9 |
Secondary Education | 6 |
High Schools | 3 |
Grade 10 | 1 |
Junior High Schools | 1 |
Middle Schools | 1 |
Audience
Teachers | 3 |
Location
Australia | 1 |
New Zealand | 1 |
Norway | 1 |
Oklahoma | 1 |
Laws, Policies, & Programs
Assessments and Surveys
What Works Clearinghouse Rating
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
Laudano, Francesco – International Journal of Mathematical Education in Science and Technology, 2021
We propose an algorithm that allows calculating the remainder and the quotient of division between polynomials over commutative coefficient rings, without polynomial long division. We use the previous results to determine the quadratic factors of polynomials over commutative coefficient rings and, in particular, to completely factorize in Z[x] any…
Descriptors: Mathematics Instruction, Division, Algebra, Mathematical Logic
Oxman, Victor; Sigler, Avi – International Journal of Mathematical Education in Science and Technology, 2021
In this article we consider two triangles: one inscribed in another. We prove that the area of the central triangle is at least the harmonic mean of the areas of corner triangles. We give two proofs of this theorem. One is based on Rigby inequality and the other is based on the known algebraic inequality, to which we bring a new, geometric, proof.…
Descriptors: Geometry, Mathematics Instruction, Validity, Mathematical Logic
Yan, Xiaoheng; Zazkis, Rina – International Journal of Mathematical Education in Science and Technology, 2022
Windmill images and shapes have a long history in geometry and can be found in problems in different mathematical contexts. In this paper, we share and discuss various problems involving windmill shapes and solutions from geometry, algebra, to elementary number theory. These problems can be used, separately or together, for students to explore…
Descriptors: Mathematics Instruction, Teaching Methods, Geometry, Algebra
Tupouniua, John Griffith – International Journal of Mathematical Education in Science and Technology, 2022
A growing emphasis on computational thinking worldwide necessitates student proficiency in creating algorithms. Focusing on the use of counterexamples for developing student-invented algorithms, I reanalyze two pieces of data from previously published research, pertaining to two different cases of students' algorithmatizing activity. In both…
Descriptors: Computation, Thinking Skills, Mathematics, Logical Thinking
Nigmatulin, Ravil; Vaguina, Mariya – International Journal of Mathematical Education in Science and Technology, 2022
The topic of recurrence relations has recently been introduced in many discrete mathematics textbooks. Recurrence relations are efficient modelling and problem-solving techniques used in mathematics. Combinatorial problems are often used to introduce recurrence relations. However, many textbooks consider problems that can be reduced only to the…
Descriptors: Teaching Methods, Mathematics Instruction, Problem Solving, Textbooks
Oxman, Victor; Stupel, Moshe; Weissman, Shula – International Journal of Mathematical Education in Science and Technology, 2021
The present paper describes beautiful conservation relations between areas formed by different geometrical shapes and area relations formed by algebraic functions. The conservation properties were investigated by students at an academic college of education using a computerized technological tool and were subsequently accompanied by justified…
Descriptors: Mathematics Instruction, Teaching Methods, Computer Assisted Instruction, Geometry
Herzinger, K.; Kunselman, C.; Pierce, I. – International Journal of Mathematical Education in Science and Technology, 2018
Theon's ladder is an ancient method for easily approximating "n"th roots of a real number "k." Previous work in this area has focused on modifying Theon's ladder to approximate roots of quadratic polynomials. We extend this work using techniques from linear algebra. We will show that a ladder associated to the quadratic…
Descriptors: Algebra, Mathematics Instruction, Mathematical Formulas, Mathematics
Dobbs, David E. – International Journal of Mathematical Education in Science and Technology, 2018
Let R be an integral domain with quotient field F, let S be a non-empty subset of R and let n = 2 be an integer. If there exists a rational function ?: S [right arrow] F such that ?(a)[superscript n] = a for all a ? S, then S is finite. As a consequence, if F is an ordered field (for instance,[real numbers]) and S is an open interval in F, no such…
Descriptors: Numbers, Mathematics Instruction, Algebra, Mathematical Formulas
Rensaa, Ragnhild Johanne; Hogstad, Ninni Marie; Monaghan, John – International Journal of Mathematical Education in Science and Technology, 2021
This paper reports on themes that arose in an investigation of university lecturers' views on the teaching of linear algebra. This focus on themes was the initial part of a study concentrating on four areas: What is important to teach in a first course in linear algebra? Are there teaching methods which are particularly suited for such a course?…
Descriptors: Teaching Methods, Algebra, College Faculty, Advanced Courses
Gkioulekas, Eleftherios – International Journal of Mathematical Education in Science and Technology, 2017
We present the basic theory of denesting nested square roots, from an elementary point of view, suitable for lower level coursework. Necessary and sufficient conditions are given for direct denesting, where the nested expression is rewritten as a sum of square roots of rational numbers, and for indirect denesting, where the nested expression is…
Descriptors: Numbers, Mathematical Logic, Validity, Mathematics Instruction
Dobbs, David E. – International Journal of Mathematical Education in Science and Technology, 2017
The set of functions {x[superscript q] | q[element of][real numbers set]} is linearly independent over R (with respect to any open subinterval of (0, 8)). The titular result is a corollary for any integer n = 2 (and the domain [0, 8)). Some more accessible proofs of that result are also given. Let F be a finite field of characteristic p and…
Descriptors: Mathematics Instruction, Mathematical Concepts, Mathematical Logic, Calculus
Oxman, Victor; Stupel, Moshe – International Journal of Mathematical Education in Science and Technology, 2018
A geometrical task is presented with multiple solutions using different methods, in order to show the connection between various branches of mathematics and to highlight the importance of providing the students with an extensive 'mathematical toolbox'. Investigation of the property that appears in the task was carried out using a computerized tool.
Descriptors: Mathematics Instruction, Problem Solving, Geometry, Algebra
Gauthier, N. – International Journal of Mathematical Education in Science and Technology, 2013
We study the following family of integral-valued alternating sums, where -infinity equal to or less than m equal to or less than infinity and n equal to or greater than 0 are integers [equation omitted]. We first consider h[subscript m](n) for m and n non-negative integers and show that it is of the form 2[superscript n + 2m] - P[subscript m](n),…
Descriptors: Numbers, Algebra, Mathematical Concepts, Mathematical Logic
Hawthorne, Casey; Rasmussen, Chris – International Journal of Mathematical Education in Science and Technology, 2015
While a significant amount of research has been devoted to exploring why university students struggle applying logic, limited work can be found on how students actually make sense of the notational and structural components used in association with logic. We adapt the theoretical framework of unitizing and reification, which have been effectively…
Descriptors: College Students, Logical Thinking, Mathematical Logic, Abstract Reasoning