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

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초록

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.

키워드

Perceptrondidactic transpositionXOR problemlinear separabilitymultilayer perceptronAI mathematics education
제목
Didactic Transformation and Classroom Module for the Perceptron with a Focus on the XOR Problem
저자
오세준
DOI
10.7468/jksmeb.2026.33.2.179
발행일
2026-05
유형
Article
저널명
이론수학과 교직수학
33
2
페이지
179 ~ 195