Abstract
This paper presents research into closed orbits parallel to quadrilaterals inscribed in various geometric shapes that can be represented by mathematical functions: straight lines, circles, ellipses, parabolas, and hyperbolas. Mathematical proofs have been given for the existence of an infinite number of parallel orbits for each of these shapes. Quadrilaterals parallel to a quadrilateral inscribed in a circle were found to have two interesting characteristics. The mathematics was conducted with student mathematics teachers and teacher trainees, accompanied by dynamic research using computer software.
| Original language | English |
|---|---|
| Pages (from-to) | 1097-1107 |
| Number of pages | 11 |
| Journal | International Journal of Mathematical Education in Science and Technology |
| Volume | 52 |
| Issue number | 7 |
| DOIs |
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| State | Published - 2021 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2020 Informa UK Limited, trading as Taylor & Francis Group.
Keywords
- Dynamic geometry software
- GeoGebra software
- classroom activity
- geometry problem research
ASJC Scopus subject areas
- Mathematics (miscellaneous)
- Education
- Applied Mathematics