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Showing 1 to 15 of 53 results Save | Export
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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
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Moshe Stupel; Jay M. Jahangiri – International Journal of Mathematical Education in Science and Technology, 2025
In this article, we state an interesting geometric conservation property between the three angle bisectors of three similar right triangles and provide a proof without words for its justification. A GeoGebra applet is also presented to help with the understanding of the progression of the proof from inductive to deductive stage.
Descriptors: Geometry, Mathematics Instruction, Computer Software, Teaching Methods
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Detchat Samart – International Journal of Mathematical Education in Science and Technology, 2024
For a given rational number r, a classical theorem of Niven asserts that if cos(rp) is rational, then cos(rp) [element-of] {0,±1,±1/2}. In this note, we extend Niven's theorem to quadratic irrationalities and present an elementary proof of that.
Descriptors: Mathematics Instruction, Teaching Methods, Validity, Mathematical Logic
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Wes Maciejewski – International Journal of Mathematical Education in Science and Technology, 2025
Calculus is perhaps the most widely taught and researched upper-secondary/post-secondary mathematics subject the world over. The research literature is amassing greater clarity around students' understandings of calculus, yet calculus instruction tends to be at odds with this literature, maintaining a focus on procedural aspects of the subject.…
Descriptors: Calculus, Mathematics Instruction, College Students, College Mathematics
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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
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Charity N. Watson; Pablo Duran; Adam Castillo; Edgar Fuller; Geoff Potvin; Laird Kramer – International Journal of Mathematical Education in Science and Technology, 2025
College calculus plays an important role in STEM students' degree and career aspirations. One of the key factors considered in assessing a student's ability to be successful in calculus is their proficiency in topics from prior mathematics courses such as algebra and precalculus. This study set out to examine the impact of students' precalculus…
Descriptors: Active Learning, Calculus, Mathematics Instruction, Teaching Methods
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James S. Wolper – International Journal of Mathematical Education in Science and Technology, 2024
Adjusting the Calculus I curriculum by putting modelling and differential equations literally at its centre leads to a better-organised and better-motivated course. The biggest change is including a section on "qualitative" and "numerical" solutions to ordinary differential equations between the customary sections on…
Descriptors: Mathematics Instruction, Teaching Methods, Advanced Courses, Calculus
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Arilín Haro; Mario Sánchez Aguilar – International Journal of Mathematical Education in Science and Technology, 2025
This literature review covers 42 years and has two main objectives: to identify the obstacles to learning the polar coordinate system and to explore the teaching proposals suggested to overcome them. These questions are answered by locating and analysing articles related to the topic published in research and practitioner journals specialising in…
Descriptors: Mathematics Instruction, Mathematical Concepts, Barriers, Teaching Methods
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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
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Mitra Jazayeri; Xia Li; Eric Morris; Dan Laurence; Birgit Loch – International Journal of Mathematical Education in Science and Technology, 2024
Statistics anxiety is a significant problem for students' learning experience in the psychological sciences. This article explores a novel teaching methodological approach during the global pandemic to improve students' performance by reducing their statistics anxiety. The subject design and teaching methodological approach were developed based on…
Descriptors: Statistics, Anxiety, Teaching Methods, COVID-19
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Ismael Cabero; Carl Winsløw – International Journal of Mathematical Education in Science and Technology, 2025
The notion of function is central in all of the secondary curriculum, and indeed functional models appear in almost all higher education that is based on mathematics. However, in secondary education, functions usually appear in restricted and somewhat sterile forms. In this (mostly theoretical) paper, we present a proposal -- exemplified by a…
Descriptors: Mathematics Instruction, Mathematical Models, Teaching Methods, Secondary School Mathematics
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Rimma Nyman; Kajsa Bråting; Cecilia Kilhamn – International Journal of Mathematical Education in Science and Technology, 2025
In the wake of the present inclusion of programming in mathematics education, which is a feature of curricular revisions in many countries, we have analysed newly inserted programming activities in mathematics textbooks. The aim was to investigate how such activities relate to and potentially affect students' opportunities to learn mathematics.…
Descriptors: Secondary School Students, Mathematics Instruction, Programming, Computer Science Education
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Carolyn Johns – International Journal of Mathematical Education in Science and Technology, 2024
Undergraduate peer drop-in mathematics tutoring is a common form of support at the university level, yet research regarding how to train this specific group of tutors is underspecified. This paper aims to describe a training program for this population that is grounded in mathematics education research. It serves as a first step in conducting a…
Descriptors: Mathematics Teachers, Mathematics Instruction, Tutors, Undergraduate Students
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Jennifer A. Czocher; Elizabeth Roan; Abigail Quansah; Andrew Baas – International Journal of Mathematical Education in Science and Technology, 2024
Students exit calculus with understandings of change that want for conceptual depth and are disconnected from real-world contexts. In this paper, we present a problem that will develop their skills in using "change" concepts for learning differential equations through modelling. The problem comes from a qualitative study of how STEM…
Descriptors: STEM Education, Calculus, Undergraduate Students, Modeling (Psychology)
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Li Zhang – International Journal of Mathematical Education in Science and Technology, 2024
We present an intriguing topic in a mathematical modelling course where Lanchester models are taught to our students. Lanchester models are some of the earliest and most important models used for combat modelling. We describe modelling activities and the use of technology that can be implemented in teaching this topic in this paper.
Descriptors: Mathematical Models, Equations (Mathematics), Simulation, Mathematics Instruction
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