Design of information-educational environment for the establishment of new facts in Mathematics

被引：1

作者：

Grozdev, Sava ^{[1
]}

Nenkov, Veselin ^{[2
]}

机构：

[1] DSi, Inst Math & Informat, Acad G Bonchev St 8, Sofia 1113, Bulgaria

[2] Tech Coll Lovech, Lovech 5500, Bulgaria

来源：

INTERNATIONAL CONFERENCE EDUCATION AND PSYCHOLOGY CHALLENGES - TEACHERS FOR THE KNOWLEDGE SOCIETY, 2ND EDITION (EPC -TKS 2013) | 2014年 / 128卷

关键词：

heuristics; computer; in-circle; ex-circle; conic; polygone; experience; observation; choice; analogy; supporting action; discovery;

D O I：

10.1016/j.sbspro.2014.03.145

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

The aim of the paper is to present some possibilities of the GEOMETER'S SKETCHPAD (GSP) software to realize a heuristic approach in a classroom environment. It is shown how the well-known Polya's model could be used by students to discover or rediscover Plane Geometry assertions which are new for them. The approach is applied to a property of conics, that are inscribed in polygons or, which is the same, to a property of polygons, that are circumscribed round conics. In the particular case of circles the material is from the curriculum and it is designed for extra-curriculum teaching in the general case. Since the main result (theorem 1) is of mathematical interest, the details of student behavior during the discovery process are left for discussion in another publication. (C) 2014 The Authors. Published by Elsevier Ltd.

引用

页码：211 / 216

页数：6

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