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A Support System for Solving Problems of TwoTriangle Congruence Using ‘Backward Chaining’
Ryosuke ONDA Yuki HIRAI Kay PENNY Bipin INDURKHYA Keiichi KANEKO
Publication
IEICE TRANSACTIONS on Information and Systems
Vol.E100D
No.10
pp.25672577 Publication Date: 2017/10/01
Online ISSN: 17451361
DOI: 10.1587/transinf.2016EDP7363
Type of Manuscript: PAPER Category: Educational Technology Keyword: secondary education, interactive learning environments, learning support system, problemsolving, backward chaining,
Full Text: PDF(1MB) >>Buy this Article
Summary:
We developed a system called DELTA that supports the students' use of backward chaining (BC) to prove the congruence of two triangles. DELTA is designed as an interactive learning environment and supports the use of BC by providing hints and a function to automatically check the proofs inputted by the students. DELTA also has coloring, marking, and highlighting functions to support students' attempts to prove the congruence of two triangles. We evaluated the efficacy of DELTA with 36 students in the second grade of a junior high school in Japan. We found that (1) the mean number of problems, which the experimental group (EG) completely solved, was statistically higher than that of the control group on the posttest; (2) the EG effectively used the BC strategy to solve problems; and (3) the students' attempt to use both the forward chaining strategy and the BC strategy led to solving the problems completely.

