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

그래프의 매칭을 활용한 직육면체와 정사각기둥의 전개도 개수 구하기

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

한국수학교육학회지시리즈B:순수및응용수학 / 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
이호수 (제주대학교)
최근배 (제주대학교)

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

한국수학교육학회지시리즈B:순수및응용수학