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Abboud, Elias – International Journal of Mathematical Education in Science and Technology, 2023
In this article, we consider certain minimization problems. If d[subscript 1], d[subscript 2] and d[subscript 3] are the distances of a boundary or inner point to the sides of a given triangle, find the point which minimizes d[subscript 1][superscript n] + d[subscript 2][superscript n] + d[subscript 3][superscript n] for positive integer n. These…
Descriptors: Computer Software, Mathematics Instruction, Geometry, Calculus
Tanvir Prince – International Journal of Mathematical Education in Science and Technology, 2025
This study investigates the impact of GeoGebra, a dynamic, accessible, and easy-to-use mathematics software, on student confidence and perceptions of its helpfulness in the context of Calculus III courses. A quasi-experimental design was employed to compare four sections of Calculus III, with two sections integrating GeoGebra for in-class…
Descriptors: Computer Software, Technology Uses in Education, Mathematics Instruction, Calculus
Brian John Winkel – International Journal of Mathematical Education in Science and Technology, 2024
We present a complete, soup to nuts, modeling activity of a falling column of water. Many colleagues have used this material in teaching applications of first order separable differential equations. We describe how the material can be presented with students collecting their own data from online videos. One can then either offer the differential…
Descriptors: Calculus, Learner Engagement, Video Technology, Mathematical Concepts
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
Ala' J. Alnaser; Justin Hoffmeier – International Journal of Mathematical Education in Science and Technology, 2024
Differential equations are widely used tools for modelling the world around us, making a course in differential equations a natural place for students to connect concrete mathematical applications to abstract concepts. Since students grasp the concepts better by applying them, introducing differential equations through modelling becomes essential.…
Descriptors: Mathematics Instruction, Mathematical Models, Advanced Courses, Mathematical Concepts
Gabour, Manal – International Journal of Mathematical Education in Science and Technology, 2022
In this article special sequences involving the Butterfly theorem are defined. The Butterfly theorem states that if M is the midpoint of a chord PQ of a circle, then following some definite instructions, it is possible to get two other points X and Y on PQ, such that M is also the midpoint of the segment XY. The convergence investigation of those…
Descriptors: Mathematics Instruction, Computer Software, Secondary School Mathematics, College Mathematics
Maria Fahlgren; Mats Brunström – International Journal of Mathematical Education in Science and Technology, 2025
This paper provides some insights into the use of example-generating tasks in the design of a technology-rich learning environment to enhance students' mathematical thinking. The paper reports on an early stage of a design-based research project concerning the design of tasks and associated feedback utilising the affordances provided by a combined…
Descriptors: Mathematics Instruction, Educational Technology, Technology Uses in Education, Computer Software
Rivera-Figueroa, Antonio; Lima-Zempoalteca, Isaías – International Journal of Mathematical Education in Science and Technology, 2021
In differential equations textbooks, the motion of a simple pendulum for small-amplitude oscillations is analyzed. This is due to the impossibility of expressing, in terms of simple elementary functions, the solutions of the nonlinear differential equation (NLDE) that models the pendulum, which is why the authors usually choose the linearized…
Descriptors: Motion, Mathematical Models, Educational Technology, Technology Uses in Education
da Fonseca, Vilmar Gomes; Henriques, Ana Cláudia Correia Batalha – International Journal of Mathematical Education in Science and Technology, 2023
This study is based on an exploratory teaching experiment, integrating the use of GeoGebra, carried out with Brazilian pre-service mathematics teachers that were attending a Pre-Calculus course. We focus on the contributions of GeoGebra to the learning that the students evidence about the 'instantaneous rate of change', in this teaching experiment…
Descriptors: Preservice Teachers, Teacher Education Programs, Mathematics Teachers, Calculus
Hoseana, Jonathan; Stepanus, Oriza; Octora, Elvina – International Journal of Mathematical Education in Science and Technology, 2023
As educational systems move from onsite to online due to the COVID-19 pandemic, teachers face the difficulty of designing online examination formats which minimize opportunities for dishonesty. In this paper, we expose our design of such a format: a protected Microsoft Excel spreadsheet containing short-answer questions, which was implemented in a…
Descriptors: Plagiarism, Calculus, Algebra, Computer Software
Dayal, Vikram – International Journal of Mathematical Education in Science and Technology, 2023
Epidemiological models have enhanced relevance because of the COVID-19 pandemic. In this note, we emphasize visual tools that can be part of a learning module geared to teaching the SIR epidemiological model, suitable for advanced undergraduates or beginning graduate students in disciplines where the level of prior mathematical knowledge of…
Descriptors: Biology, Visual Aids, Epidemiology, Science Instruction
Gordon, Sheldon P. – International Journal of Mathematical Education in Science and Technology, 2017
This article uses dynamic software in Excel to demonstrate several ways in which graphical and numerical approaches can be introduced both to enhance student understanding of l'Hopital's Rule and to explain why the Rule actually works to give the "right" answers. One of the approaches used is to visualize what is happening by examining…
Descriptors: Computer Software, Visualization, Calculus, Spreadsheets
Çekmez, Erdem – International Journal of Mathematical Education in Science and Technology, 2020
This study aimed to explore the effects of an instructional intervention in which GeoGebra and the think-pair-share method were used to teach the relationship between the graph of a parametric curve and the derivatives of its component functions. The participants in the study were 19 prospective mathematics teachers. To assess the understanding of…
Descriptors: Graphs, Calculus, Mathematics Teachers, Pedagogical Content Knowledge
Fung, Chak Him; Poon, Kin Keung – International Journal of Mathematical Education in Science and Technology, 2021
This study consisted of two stages. In stage A, 38 students were divided randomly into an experimental and a control group. The experimental group received lectures assisted by dynamic geometry software (DGS) and the control group received lectures using chalk and blackboard. The effects of DGS on metacognition and its components were…
Descriptors: Metacognition, Learning Activities, Teaching Methods, Comparative Analysis
Swidan, Osama – International Journal of Mathematical Education in Science and Technology, 2020
This study sets for itself the task of constructing a learning trajectory for the fundamental theorem of calculus (FTC) that takes into account the interaction with an educational digital tool. Students were asked to explain the connections between interactive and multiple-linked representations in an educational digital tool, and to conjecture…
Descriptors: Calculus, Mathematics Instruction, Validity, Mathematical Logic