Investigation on Rule Usage for Proportional Reasoning based on Latent Class Analysis

Autor: Chung-Ying Wang, 王中瓔
Rok vydání: 2013
Druh dokumentu: 學位論文 ; thesis
Popis: 101
The purpose of this study is to investigate the strategies of problem-solving as to proportional problems for the sixth graders of. The study shows the correct ratio of each item, and comparisons between gender. This study adopts latent class analysis (LCA) and discusses the characteristics in each latent class. In this study, there are four types of items based on the ratio of numbers. In the data analysis, each latent classes rule is discussed. Through the procedure of the analysis, some conclusions are as follows. 1. For the correct ratio in four types of items, students perform the best in type A problems, the second is type B problems, the third is in type C problems, and the lowest is in type D problems. 2. There are no differences on correct ratio of items between gender. For the correct ratio, Female students perform better than male students in type A items and type D items. However, male students perform better than female students in type B items. 3. According to LCA, there exist two classes in four types of items. Students of class mainly use the fourth rule, the first rule and the third rule. On the contrary, students of class Ⅱ mainly use the eighth rule and ninth rule. Based on the results and findings, some recommendations and suggestions are discussed for future research.
Databáze: Networked Digital Library of Theses & Dissertations