Study on Third Grade Students' Representation and Number Concept Knowledge Structure:Using Decimal Division as An Example

Autor: Yang, Yafang, 楊雅芳
Rok vydání: 2013
Druh dokumentu: 學位論文 ; thesis
Popis: 101
The purpose of the study is to analyze elementary school students’ knowledge structure of representation and numeral concepts by probing into the activity of “divide unit” based on ACT-R (Adaptive Control Thought- Rational) theory. The study was performed on a class of the 3rd graders at an elementary school. A total of 26 students participated in this survey. The researcher designed “Specific Material Representation Test”, “Abstract Representation Test”, ”Mathematical Representation Test” to evaluate the participants. The evaluation results were used to explore ”Mathematical Representation Test” the relationship of their performances between other tests. “Cognitive Work Analysis" was also adopted to investigate the students’ performances on representation and numeral concept qualitatively. The general conclusion of this study are: I. There was significant relation Mathematical Representation Test performance between the grades Specific Material Representation Test and Abstract Representation Test display significant relationship. II. According Cognitive Work Analysis, it can establish the production rule of how the students’ representation and numeral concept. III. Generally speaking, students’ have best scores on the Specific Material Representation Test among three Representation Tests. IV. The higher accuracy was caught when the students used Specific Material Representation Test. In Abstract Representation Test can find easily when circle numbers appear mistake concept. In Mathematical Representation Test find with no difficulty number concept isn’t total preparation when students’ respond isn’t good enough. According to the above experimental design and findings, teachers could be adopted Cognitive Task Analysis promote students’ numbers concept. In order to raise students’ interesting and elevate teachers’ effectiveness of teaching.
Databáze: Networked Digital Library of Theses & Dissertations
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