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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.33 No.2

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Enumerating the Nets of a Cube and a Square Prism Using Graph Matchings

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2026, v.33 no.2, pp.143-160
https://doi.org/10.7468/jksmeb.2026.33.2.143
Hosoo Lee
Choi Keunbae
Hosoo, L. , & Choi, K. (2026). Enumerating the Nets of a Cube and a Square Prism Using Graph Matchings, 33(2), 143-160, https://doi.org/10.7468/jksmeb.2026.33.2.143

Abstract

In this paper, we examine the process of mathematization from the instructor’s perspective, based on lessons related to the nets of a cube and a regular octahedron for elementary gifted students in an advanced program. Specifically, we investigate how the number of nets considered by students, based on the adjacency and parallelism of faces in the nets (represented respectively by the concepts of trees and partitions of sets), leads to a process of mathematization by the instructor using the concept of matchings in graphs to determine the number of nets for a rectangular prism and a square prism.

keywords
Freudenthal’s mathematising, net, graph, graph matching

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics

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