A Comparative Study on the Influences that 3 Faces of Intellect of Guilford Interact to Mathematics Teaching Patterns of 5 Categories of Higgins in a Viewpoint of Constructivism

Guilford의 지능 이론이 Higgins의 수업 형식에 미치는 영향에 대한 구성주의적 비교 연구

What do our mathematics teachers now do in the classroom？ What does it actually mean to teach mathematics？ Every preparatory mathematics teacher is confronted with these questions since they have studied to become a teacher. Almost all in-service teachers are faced by of questions, too, as they evaluate their teaching in the light of that of their colleagues. In this sense, Jon L. Higgins has proposed mathematics teaching patterns of five categories, i. e., exploring, modeling, underlining, challenging, and practicing, for the sake of our all teachers. Next, J. P. Guilford has suggested three faces of intellect presented by a single solid model, which we call the 'structure of intellect' Each dimension represents one of the modes of variation of the factors. It is found that the various kinds of operations are in one of the dimensions, the various kinds of products are in another, and the various kinds of contents are in the other one. In order to provide a better basis for understanding this model and regarding it as a picture of human intellect, I've explored it systematically and shown some concrete examples for its tests. Each cell in the model stands for a certain kind of ability that can be described in terms of operation, content, and product, for each cell is at the intersection uniquely combined with kinds of ope- ration, content, and product. In conclusion, how could we use the teaching patterns of five categories, that is, exploring, modeling, underlining, challenging, and practicing, according to the given mathematics learning substances？ And also, how could children constitute the learning sub- stances well in their mind with a viewpoint of constructivism if teachers would connect the mathematics teaching patterns of five categories with any factors among the three faces of intellect？ I've made progress this study focusing on such problems.

Higgins의 탐구하기, 모형화하기, 강조하기, 도전하기, 그리고 실행하기 등 다섯 가지 범주의 수업 형식에 Guilford의 지능 구조에 있는 사고의 소재인 내용과 조작 그리고 산출의 세 요인 중 어떤 것을 결부되는지 알아보았다. 또 구성 주의적 수학 교수-학습 원리인 학생 중심적 개별화의 원리, 발문 중심적 상호 작용의 원리, 의미 지항적 활동의 원리, 그리고 반영적 추상화의 원리 중에서 어떤 것들이 관계를 하면 아동 스스로가 주어진 학습을 자기 마음속에 가장 잘 구성할 수 있겠는가 하는 문제를 분석하였다.