Article ID: CBB942427938

Theory of Polygonal Numbers with Cuisenaire Rods Manipulatives: Understanding Theon of Smyrna’s Arithmetic in a History of Mathematics Classroom (2019)

unapi

This classroom note offers an interactive method of visualizing polygonal numbers in accordance with Theon of Smyrna's arithmetic in a history of mathematics classroom in a university in the US. In a multi-representational context that focused on students’ exploration of polygonal numbers for k=3, 4, 5, 6, 7, 8, 9, 10 in an inductive style, the article also provides a method of using history in the classroom via Cuisenaire rods manipulatives.

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Authors & Contributors
Stilinović, Vladimir
Schubring, Gert
Brueckler, Franka Miriam
Guimarães, Henrique Manuel
Paola Magrone
Lucken, Christopher
Journals
British Society for the History of Mathematics Bulletin
Historia Mathematica
Paedagogica Historica: International Journal of the History of Education
Médiévales
Bollettino di Storia delle Scienze Matematiche
Publishers
Springer
Docent Press
Springer Nature
Rutgers, the State University of New Jersey, New Brunswick
Princeton University Press
Concepts
Mathematics education
Teaching; pedagogy
Mathematics
Arithmetic
Textbooks
Algebra
People
Shakespeare, William
Newton, Isaac
Leibniz, Gottfried Wilhelm von
Klein, Felix
Dee, John
Davis, Robert Campbell
Time Periods
19th century
20th century, early
20th century
Modern
21st century
18th century
Places
United States
United Kingdom
Eastern Europe
Sweden
Hungary
Europe
Institutions
Habsburg, House of
Science Museum, London
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