A new way for visual reasoning in geometry education

Autor:	Josette Morinet-Lambert, Philippe Bernat
Rok vydání:	1996
Předmět:	Geometry education Adaptive reasoning business.industry Computer science Visual reasoning Plan (drawing) Open learning Machine learning computer.software_genre Mathematical proof Test (assessment) Mathematics education Artificial intelligence business computer
Zdroj:	Intelligent Tutoring Systems ISBN: 9783540613275 Intelligent Tutoring Systems
DOI:	10.1007/3-540-61327-7_143
Popis:	In this paper, we describe two open learning environments for geometry problem solving: CALQUES which is widely used in French secondary schools for mathematical courses, then CHYPRE which is an experimental improvement with reasoning tools. Our aim is not to imitate an expert method nor to implement an existing pedagogical approach but to give freedom to explore a problem in any way and to test any plan of problem-solving. Visual reasoning plays an important role in geometry and provides a far different approach of problem-solving than standard formal proofs. We will explain that a student using CHYPRE focuses only on the main statements that could be observed on the problem diagram and has the opportunity to skip the less important ones. To students, as well as to mathematicians, mathematical concepts are not mere definitions, but they consist of individuals' intuitions. These intuitions are formed by imagination and understanding.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::29370396dece50dae01cd2318e836d57 https://doi.org/10.1007/3-540-61327-7_143 Zobrazit plný text záznamu