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Applying Matrix Diagonalisation in the Classroom with GeoGebra: Parametrising the Intersection of a Sphere and Plane
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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
Mathematical Inquiry with the Steiner Ellipse Using GeoGebra and Numerical Analysis
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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