NotesFAQContact Us
Collection
Advanced
Search Tips
Publication Date
In 20250
Since 20240
Since 2021 (last 5 years)1
Since 2016 (last 10 years)1
Since 2006 (last 20 years)2
Descriptor
Heuristics2
Mathematical Logic2
Mathematics Instruction2
Validity2
Equations (Mathematics)1
Generalization1
Geometry1
High School Students1
Mathematical Concepts1
Teaching Methods1
Source
International Journal of…2
Author
Ollerton, Richard L.1
de Villiers, Michael1
Publication Type
Journal Articles2
Reports - Descriptive1
Reports - Evaluative1
Education Level
High Schools1
Secondary Education1
Audience
Location
Laws, Policies, & Programs
Assessments and Surveys
What Works Clearinghouse Rating
Showing all 2 results Save | Export
An Interesting Theorem Related to a Hexagon with Opposite Sides That Are Parallel
Peer reviewed Peer reviewed
Direct linkDirect link
de Villiers, Michael – International Journal of Mathematical Education in Science and Technology, 2021
It's often useful extending students beyond the limiting geometry of triangles and quadrilaterals to regularly consider generalizations of results for triangles and quadrilaterals to higher order polygons. A brief heuristic description is given here of the author applying this strategy, and which led to an interesting result related to the…
Descriptors: Heuristics, Mathematics Instruction, Geometry, Generalization
Lagrange Multipliers, Adjoint Equations, the Pontryagin Maximum Principle and Heuristic Proofs
Peer reviewed Peer reviewed
Direct linkDirect link
Ollerton, Richard L. – International Journal of Mathematical Education in Science and Technology, 2013
Deeper understanding of important mathematical concepts by students may be promoted through the (initial) use of heuristic proofs, especially when the concepts are also related back to previously encountered mathematical ideas or tools. The approach is illustrated by use of the Pontryagin maximum principle which is then illuminated by reference to…
Descriptors: Mathematical Concepts, Heuristics, Mathematical Logic, Validity