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[[alternative]]The Study of mixed Rasch model analysis on mathematical content knowledge and cognitive abilities for junior high school students

By [[author]]鄭蕙如, [[author]]Huey-Ru Cheng, 鄭蕙如 and Huey-Ru Cheng

Abstract

[[abstract]]The purpose of this study is to understand the performance of junior high students’ mathematical content knowledge and cognitive abilities. The assessment framework of mathematics will be built and the performance types of students’ mathematical content knowledge and cognitive abilities will be understood based on the Basic Competence Test for Junior High School Students (BCTEST). In the research methods, we collect and analyze the definitions of mathematical content knowledge and cognitive abilities as defined by assessment institutes and use mixed Rasch model to analyze the students’ mathematical response patterns for the BCTEST. The findings were listed as follows: (a) a framework of mathematical content knowledge and cognitive abilities was built based on the BCTEST; (b)students had better performance in data analysis, statistics and probability than in geometry and spatial sense on the mathematical content knowledge; and on the mathematical cognitive abilities performed better in conceptual understanding, procedure knowledge and execution than in problem solving; (c)the results of mixed Rasch model showed that students had different performance in mathematical content knowledge and cognitive abilities who belong to different latent classes. Finally, some suggestions were provided in further instructions and researches based on the results.

Topics: 國中基本學力測驗, 數學內容知識, 數學認知能力, 項目反應理論, 混合Rasch模式, The Basic Competence Test for Junior High School Students, mathematical content knowledge, mathematical cognitive abilities, item response theory, mixed Rasch model, [[classification]]10
Year: 2010
OAI identifier: oai:ir.lib.ntnu.edu.tw:309250000Q/12325
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