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Bradley Graeme Welch; Juan Carlos Ponce Campuzano – International Journal of Mathematical Education in Science and Technology, 2025
In this paper, we explore how the typical second year undergraduate topic of matrix diagonalisation can be applied to solve a geometric problem which arises frequently in Vector Calculus: to find the curve of intersection of a plane and a surface. We use GeoGebra, which offers a cost-free and dynamic interface, to explore a specific variant of…
Descriptors: Geometry, Computer Software, Computer Assisted Instruction, Undergraduate Students
Özlem Çeziktürk – International Journal of Mathematical Education in Science and Technology, 2025
I explore some facts about the area, position, etc. of the Steiner ellipse using GeoGebra and numerical analysis. Students can use these for mathematical inquiry.
Descriptors: Computer Software, Mathematics Instruction, Elective Courses, Teacher Education Programs
Victor Oxman; Moshe Stupel – International Journal of Mathematical Education in Science and Technology, 2024
We present an investigation of the infinite sequences of numbers formed by calculating the pairwise averages of three given numbers. The problem has an interesting geometric interpretation related to the sequence of triangles with equal perimeters which tend to an equilateral triangle. Investigative activities of the problem are carried out in…
Descriptors: Mathematics Instruction, Geometry, Problem Solving, Preservice Teachers