Improving school geometry learning through rigidity reduction by the instruction of a heuristic problem solving model
作者:
Ron Hoz†,
期刊:
International Journal of Mathematical Education in Science and Technology
(Taylor Available online 1986)
卷期:
Volume 17,
issue 6
页码: 715-732
ISSN:0020-739X
年代: 1986
DOI:10.1080/0020739860170607
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Rigidity has shown to exert negative effects on the solution of geometrical problems. A reduction of rigidity was attempted by the instruction of a geometry‐specific heuristic problem solving model, the Geometric Proof Finder (GPF). Four groups of highly rigid students (Gl, G2, F and N) were formed within each of four ninth grade classes. Groups Gl and G2 were taught to solve proof problems by the GPF model, group F had extra practice with the regular mathematics class model, and group N received no instruction. The instruction of the GPF model reduced the rigidity, and had facilitated subsequent learning of school geometry: (1) immediate geometry achievement improved in group Gl and in the combined groups Gl and G2, but no change was observed in groups F and N; (2) at the end of the year, geometry achievement was higher in groups Gl and G2 than in groups F and N; (3) at the end of the year geometry achievement of groups Gl and G2 equalled that of their non‐rigid classmates; (4) the inferior geometry achievement of groups F and N relative to their non‐rigid classmates persisted over the year. These results render the GPF model a powerful instructional means to remedy deficient school geometry learning.
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