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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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Didactic Transformation and Classroom Module for the Perceptron with a Focus on the XOR Problem

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.179-195
https://doi.org/10.7468/jksmeb.2026.33.2.179
Oh Sejun
Oh, S. (2026). Didactic Transformation and Classroom Module for the Perceptron with a Focus on the XOR Problem, 33(2), 179-195, https://doi.org/10.7468/jksmeb.2026.33.2.179

Abstract

We develop a classroom module that introduces the perceptron through the XOR gate, a compact example that links secondary-school mathematics (coordinate geometry and systems of inequalities) to the idea that composing simple linear separators can create non-linear decision boundaries. The module is organized as three lessons and includes activity outlines, student-facing proof sketches for the limitation of single-layer perceptrons on XOR, and a minimal two-hidden-unit construction that realizes XOR. An optional computational lab visualizes a learned decision boundary of a small multilayer perceptron trained on XOR.

keywords
Perceptron, didactic transposition, XOR problem, linear separability, multilayer perceptron, AI mathematics education

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

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