A study on problem solving in quadratic equations with different representations

碩士 === 國立中山大學 === 教育研究所 === 103 === This study investigates grade 8 students solving quadratic equations in two representation formats (word problem with diagram, word problem) and relationships to problem solving and problem-solving process. The investigator developed instruments for collecting da...

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Bibliographic Details
Main Authors: Yong-Zheng Liou, 劉永政
Other Authors: Shuk-Kwan, Susan, Leung
Format: Others
Language:zh-TW
Published: 2015
Online Access:http://ndltd.ncl.edu.tw/handle/60472644880448641919
Description
Summary:碩士 === 國立中山大學 === 教育研究所 === 103 === This study investigates grade 8 students solving quadratic equations in two representation formats (word problem with diagram, word problem) and relationships to problem solving and problem-solving process. The investigator developed instruments for collecting data on problem solving by referring and revising to materials from one textbook series, resulting a set of 6 problems. A total of 20 students solved word problems and 20 solved word problems with diagrams. When collecting data on problem-solving processes the investigator used one textbook problem (revised into 2 formats) then interviewed 6 students (3 solved word problem with diagram, 3 solved word problem). The investigator reported findings on total score and results on each of 6 problems, then results on the comparison on processes using percentage of time in Schoenfeld’s Six Problem-Solving Stages. Results are as follow: 1. On problem solving, results on total score revealed that the percentage of students (Word) is higher than the percentage of students (Word with Diagram) for lower score groups (0-9; 10-19 out of 60). For results on individual problem, the direction of difference on two formats was different among problems. 2. On problem-solving processes, and according to Schoenfeld, when Word-with-Diagram compared to Word; students spent less time me on Reading Stage; more on Analysis Stage, and also less time on total time used in solving.