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Showing 1 to 15 of 82 results Save | Export
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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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Antonio González; Víctor Manero; Alberto Arnal-Bailera; María Luz Puertas – International Journal of Mathematical Education in Science and Technology, 2024
This work is devoted to exploring proof abilities in Graph Theory of undergraduate students of the Degree in Computer Engineering and Technology of the University of Seville. To do this, we have designed a questionnaire consisting of five open-ended items that serve as instrument to collect data concerning their proof skills when dealing with…
Descriptors: Undergraduate Students, Graphs, Validity, Mathematical Logic
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Jonathan Hoseana; Andy Leonardo Louismono; Oriza Stepanus – International Journal of Mathematical Education in Science and Technology, 2025
We describe and evaluate a method to mitigate unwanted student collaborations in assessments, which we recently implemented in a second-year undergraduate mathematics module. The method requires a list of specific pairs of students to be prevented from collaborating, which we constructed based on the results of previous assessments. We converted…
Descriptors: Graphs, Color, College Mathematics, Undergraduate Students
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Gamze Kurt; Erdinç Çakiroglu – International Journal of Mathematical Education in Science and Technology, 2025
This case study investigated the development of prospective mathematics teachers' technological pedagogical content knowledge (TPACK) in graphical data displays with (VM) within the context of a microteaching lesson study (MLS). This research investigated how five participants integrated technology and implemented a lesson plan aimed to teach…
Descriptors: Preservice Teachers, Pedagogical Content Knowledge, Technological Literacy, Graphs
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Sauerheber, Richard Dexter; Stewart, Tony – International Journal of Mathematical Education in Science and Technology, 2022
Properties of curved functions considered to be parallel over their domains are investigated. Parallel curves in a given plane may appear identical but are actually not superimposable and thus are not congruent. Translational shifted functions in a plane are not parallel curves because the shortest perpendicular distance between them is not…
Descriptors: Mathematics Instruction, Geometric Concepts, Mathematical Formulas, Concept Formation
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Koss, Lorelei – International Journal of Mathematical Education in Science and Technology, 2022
This article discusses a pedagogical technique for utilizing breakout rooms for small group discussions and synchronous drawing features in Zoom to create crowdsourced solutions to mathematical problems that involve graphing or visualization. Students begin with specific examples and then move quickly to the development of a more general…
Descriptors: Mathematics Education, Problem Solving, Electronic Learning, Cooperative Learning
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Dae S. Hong; Jae Ki Lee – International Journal of Mathematical Education in Science and Technology, 2024
This study examined college calculus instructors' preferences in solving two calculus tasks to examine college calculus instructors' use of important cognitive roots in understanding derivatives of function. Our results showed that only one instructor consistently uses cognitive roots while other instructors either focus on algebraic methods or…
Descriptors: College Mathematics, Calculus, College Faculty, Teaching Methods
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Sauerheber, Richard; Muñoz, Brandon; McCallum, Kalvin – International Journal of Mathematical Education in Science and Technology, 2021
Graphical analysis of the relationships between pairs of integrals and their corresponding derivatives resulted in the development of a procedure one may describe as 'pictorial integration'. The arctangent of the derivative of various functions was analysed to confirm that this accurately reports the magnitude of angles made by integral functions…
Descriptors: Calculus, Mathematics Instruction, Pictorial Stimuli, Graphs
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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
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Sauerheber, Richard D.; Muñoz, Brandon – International Journal of Mathematical Education in Science and Technology, 2020
A simple in-class demonstration of integral Calculus for first-time students is described for straightforward whole number area magnitudes, for ease of understanding. Following the Second Fundamental Theorem of the Calculus, macroscopic differences in ordinal values of several integrals, [delta]"F"(x), are compared to the regions of area…
Descriptors: Calculus, Mathematics Instruction, Comparative Analysis, Physics
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Paoletti, Teo; Lee, Hwa Young; Rahman, Zareen; Vishnubhotla, Madhavi; Basu, Debasmita – International Journal of Mathematical Education in Science and Technology, 2022
In this study, we examined graphical representations in several mathematics, science, and engineering textbooks and practitioner journals with the goal of identifying similarities and differences across these sources. To do this, we drew from the extant research on students interpreting graphs and reasoning covariationally to develop a framework…
Descriptors: Mathematics Education, Science Education, Engineering Education, Textbooks
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Glasser, Leslie; Doerfler, Ron – International Journal of Mathematical Education in Science and Technology, 2019
Nomographs (or nomograms, or alignment charts) are graphical representations of mathematical relationships (extending to empirical relationships of data) which are used by simply applying a straightedge across the plot through points on scales representing independent variables, which then crosses the corresponding datum point for the dependent…
Descriptors: Graphs, Mathematical Applications, Visual Aids, Computation
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Hoban, Richard A. – International Journal of Mathematical Education in Science and Technology, 2021
Many students do not have a deep understanding of slope. This paper defines what a deep understanding of slope is in terms of mathematics-education theory. The various factors which help explain why such a deep understanding is difficult to acquire are then discussed. These factors include the following: the different representations for slope;…
Descriptors: Mathematical Concepts, Concept Formation, Mathematics Instruction, College Freshmen
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Fernández-León, Aurora; Gavilán-Izquierdo, José María; Toscano, Rocío – International Journal of Mathematical Education in Science and Technology, 2021
In this paper, we investigate how a research mathematician conjectures and proves when conducting her research. To be precise, the aim of this study is to achieve a comprehensive understanding of the way this research mathematician develops these mathematical practices and thus gain insight to improve the teaching and learning of these two…
Descriptors: Case Studies, Mathematics, Mathematics Instruction, Teaching Methods
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Kertil, Mahmut; Küpcü, Ali Riza – International Journal of Mathematical Education in Science and Technology, 2021
This study investigates prospective elementary and secondary school mathematics teachers' ways of reasoning about differentiability at a point and corner points while working on a mathematical modelling activity. Adopting a multiple-case study design, the participants of the study were 68 prospective elementary school mathematics teachers enrolled…
Descriptors: Preservice Teachers, Mathematics Education, Elementary Education, Secondary Education
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