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Aaron E. Naiman – International Journal of Mathematical Education in Science and Technology, 2024
We automate and randomize the building of linear systems with a parameter, appropriate for assigning to students. When the parameter takes on a specific value, the system has no solutions. When the parameter takes on a different value, the system has an infinite number of solutions.
Descriptors: Mathematics Instruction, Advanced Courses, Teaching Methods
Joanna Mamona-Downs – International Journal of Mathematical Education in Science and Technology, 2024
This paper initiates a teaching sequence that focuses on building up equivalent definitions to the standard ones for the limit concept in Real Analysis. It comprises two parts: The first provides a classroom assignment where students, guided by Analysis lecturers, are led to develop an alternative definition to the [epsilon] - [delta] one for…
Descriptors: Mathematics Instruction, Teaching Methods, Definitions, Mathematical Concepts
Xiaoheng Yan; Gila Hanna – International Journal of Mathematical Education in Science and Technology, 2025
As new technological developments continue to change the educational landscape, it is not an exception in the area of proof and proving. This classroom note introduces the use of one of the trending proofs assistants -- the Lean theorem prover. We first provide a technical account of Lean, then exemplify Lean proofs in propositional logic, number…
Descriptors: Mathematics Instruction, Undergraduate Students, Mathematical Logic, Validity
Man, Yiu-Kwong – International Journal of Mathematical Education in Science and Technology, 2020
A simple forward approach for solving linear Diophantine equations is presented, which does not involve using backward substitutions. It is suitable for teaching undergraduate students as an alternative to the backward substitution method commonly described in mathematics textbooks.
Descriptors: Problem Solving, Equations (Mathematics), Mathematics Instruction, Undergraduate Students
Miles, Richard – International Journal of Mathematical Education in Science and Technology, 2020
A key motivational tactic in undergraduate mathematics teaching is to launch topics with fundamental questions that originate from surprising or remarkable phenomena. Nonetheless, constructing a sequence of tasks that promotes students' own routes to resolving such questions is challenging. This note aims to address this challenge in two ways.…
Descriptors: Undergraduate Students, College Mathematics, Mathematics Instruction, Teaching Methods
Pinheiro, André O.; Alvarinhas, José Pedro; Silva, Manuela Ramos – International Journal of Mathematical Education in Science and Technology, 2021
It is generally agreed that making real-world connections in mathematics teaching increases students' motivation and interest and contributes to meaningful and permanent learning. In this paper we propose a simple and fast activity to find a rectangular hyperbola in real life and we show how to operate the data to retrieve a straight line. Since…
Descriptors: Mathematics Instruction, Teaching Methods, Student Motivation, Student Interests
Caglayan, Gunhan – International Journal of Mathematical Education in Science and Technology, 2016
The purpose of this article is to offer teaching ideas in the treatment of the definite integral concept and the Riemann sums in a technology-supported environment. Specifically, the article offers teaching ideas and activities for classroom for the numerical methods of approximating a definite integral via left- and right-hand Riemann sums, along…
Descriptors: Teaching Methods, Technology Integration, Mathematics, Mathematics Education
Marzocchi, Alison S. – International Journal of Mathematical Education in Science and Technology, 2016
This article suggests that logic puzzles, such as the well-known Tower of Hanoi puzzle, can be used to introduce computer science concepts to mathematics students of all ages. Mathematics teachers introduce their students to computer science concepts that are enacted spontaneously and subconsciously throughout the solution to the Tower of Hanoi…
Descriptors: Puzzles, Mathematics Instruction, Teaching Methods, Computer Science
Winkel, Brian – International Journal of Mathematical Education in Science and Technology, 2012
We present background and an activity meant to show both instructors and students that mere button pushing with technology is insufficient for success, but that additional thought and preparation will permit the technology to serve as an excellent tool in the understanding and learning of mathematics. (Contains 5 figures.)
Descriptors: Educational Technology, Computer Assisted Instruction, Mathematics Instruction, Teaching Methods
Stewart, Sepideh; Stewart, Wayne – International Journal of Mathematical Education in Science and Technology, 2013
Over the past decade, many researchers have discussed the effectiveness of clickers and their potential to change the way we teach and interact with students. Although most of the literature revolves around elementary usage of clickers, the deeper questions of how to integrate this technology into teaching are largely unanswered. In this paper, we…
Descriptors: Audience Response Systems, Handheld Devices, Educational Technology, Teaching Methods
Evans, Ryan; Lindner, Brett; Shi, Yixun – International Journal of Mathematical Education in Science and Technology, 2011
This article presents a few methods for generating Sudoku puzzles. These methods are developed based on the concepts of matrix, permutation, and modular functions, and therefore can be used to form application examples or student projects when teaching various mathematics courses. Mathematical properties of these methods are studied, connections…
Descriptors: Student Projects, Student Interests, Puzzles, Mathematics Instruction
Antequera, A. T.; Espinel, M. C. – International Journal of Mathematical Education in Science and Technology, 2011
The aim of this study is twofold. The first is to investigate the ability of secondary school students to understand the different distribution schemes and thus, indirectly, to contribute to the educational discussion and approach to be used for distribution problems so as to lessen reliance on the ubiquitous cross-multiplication rule in…
Descriptors: Game Theory, Academically Gifted, Teaching Methods, Secondary School Students
Chang, J.-M. – International Journal of Mathematical Education in Science and Technology, 2011
Linear algebra has become one of the most useful fields of mathematics since last decade, yet students still have trouble seeing the connection between some of the abstract concepts and real-world applications. In this article, we propose the use of thought-provoking questions in lesson designs to allow two-way communications between instructors…
Descriptors: Inquiry, Mathematics Instruction, College Mathematics, Teaching Methods
Milovanovic, Marina; Takaci, Durdica; Milajic, Aleksandar – International Journal of Mathematical Education in Science and Technology, 2011
This article presents the importance of using multimedia in the math classes by an example of multimedia lesson about definite integral and the results of the research carried out among the students of the first years of faculty, divided into two groups of 25. One group had the traditional lecture about the definite integral, while the other one…
Descriptors: Information Sources, Mathematics Instruction, Teaching Methods, Mass Media
Wares, Arsalan – International Journal of Mathematical Education in Science and Technology, 2010
The purpose of this article is to provide examples of "non-traditional" theorems that can be explored in a dynamic geometry environment by university and high school students. These theorems were encountered in the dynamic geometry environment. The author believes that teachers can ask their students to construct proofs for these theorems. The…
Descriptors: Geometry, Mathematical Logic, Validity, Mathematics Instruction