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Rajib Mukherjee – International Journal of Mathematical Education in Science and Technology, 2025
I provide a visual proof for the "Convergence of a Hyper power sequence," which generalises a beautiful result; also proved visually by Azarpanah in 2004.
Descriptors: Mathematical Logic, Visualization, Generalization, Equations (Mathematics)
Ponce Campuzano, J. C. – International Journal of Mathematical Education in Science and Technology, 2019
Undergraduate students usually study Laurent series in a standard course of Complex Analysis. One of the major applications of Laurent series is the classification of isolated singular points of complex functions. Although students are able to find series representations of functions, they may struggle to understand the meaning of the behaviour of…
Descriptors: Undergraduate Students, Mathematics Education, Mathematical Concepts, Classification
Lee, Yujin; Capraro, Robert M.; Bicer, Ali – International Journal of Mathematical Education in Science and Technology, 2019
Gender difference on spatial visualization has been considered an important factor that impacts the gender gap in academic performance in STEM-related disciplines. The purpose of this meta-analysis was to examine the gender difference on spatial visualization between STEM and non-STEM undergraduate majors. Twenty effect sizes representing STEM…
Descriptors: Gender Differences, Spatial Ability, Visualization, College Students
Shongwe, Benjamin – International Journal of Mathematical Education in Science and Technology, 2022
This study used a modified mathematical knowledge for teaching (MKT) framework to compare the "common content knowledge" (CCK) of two groups of purposively selected pre-service primary mathematics teachers (n = 86) in relation to spatial visualization. Specifically, thirty-five pre-service teachers (n[subscript 1] = 35) with a pure…
Descriptors: Mathematics Skills, Pedagogical Content Knowledge, Spatial Ability, Visualization
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
Ponce Campuzano, J. C.; Roberts, A. P.; Matthews, K. E.; Wegener, M. J.; Kenny, E. P.; McIntyre, T. J. – International Journal of Mathematical Education in Science and Technology, 2019
In this paper we present two simulations designed with GeoGebra that illustrate dynamically a key concept in Vector Calculus: line integrals of vector fields, along with other associated mathematical properties and applications. Students are not required to know the GeoGebra environment: a user-friendly interface with buttons, functionalities and…
Descriptors: Visualization, Computer Simulation, Calculus, Mathematical Concepts
Dello Iacono, Umberto; Ferrara Dentice, Eva – International Journal of Mathematical Education in Science and Technology, 2022
This work refers to a research project named 'Math walks', whose aim is to investigate a few students' common conceptions and difficulties related to symmetries as well as to guide the student in the transition from visualization to conceptualization. As far as this issue is concerned, we designed a learning activity (LA) according to Dina van…
Descriptors: Mathematics Instruction, Teaching Methods, Learning Activities, Visualization
Cumber, Peter S. – International Journal of Mathematical Education in Science and Technology, 2017
It is well known that mechanical engineering students often find mechanics a difficult area to grasp. This article describes a system of equations describing the motion of a balanced and an unbalanced roller constrained by a pivot arm. A wide range of dynamics can be simulated with the model. The equations of motion are embedded in a graphical…
Descriptors: Visualization, Mechanics (Physics), Engineering Education, Equations (Mathematics)
Dockendorff, Monika; Solar, Horacio – International Journal of Mathematical Education in Science and Technology, 2018
This case study investigates the impact of the integration of information and communications technology (ICT) in mathematics visualization skills and initial teacher education programmes. It reports on the influence GeoGebra dynamic software use has on promoting mathematical learning at secondary school and on its impact on teachers' conceptions…
Descriptors: Information Technology, Technology Integration, Mathematics Instruction, Preservice Teacher Education
Poon, Kin Keung – International Journal of Mathematical Education in Science and Technology, 2018
GeoGebra is a mathematics software system that can serve as a tool for inquiry-based learning. This paper deals with the application of a fraction comparison software, which is constructed by GeoGebra, for use in a dynamic mathematics environment. The corresponding teaching and learning issues have also been discussed.
Descriptors: Mathematics Instruction, Computer Software, Computer Assisted Instruction, Active Learning