A Study of Geometry Solutions for the 6th Grade in Elementary Schools

碩士 === 聖約翰科技大學 === 機械與電腦輔助工程系碩士班 === 103 === ABSTRACT The purpose of this study was to investigate the geometry problem solving performance of the sixth graders in elementary school. There were 250 students invited to attend for the examination. In order to understand their misconceptions and analyz...

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Bibliographic Details
Main Authors: HUANG AI-CHING, 黃艾菁
Other Authors: 林守儀
Format: Others
Language:zh-TW
Published: 2015
Online Access:http://ndltd.ncl.edu.tw/handle/39592329681461889916
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Summary:碩士 === 聖約翰科技大學 === 機械與電腦輔助工程系碩士班 === 103 === ABSTRACT The purpose of this study was to investigate the geometry problem solving performance of the sixth graders in elementary school. There were 250 students invited to attend for the examination. In order to understand their misconceptions and analyze their performance of problem solving strategies, we took the quality as the principal, and the quantity as the subsidiary. In this research, content analysis method was employed to classify item types, problem solving strategies and mistake types. There were three types of items, plane figure, three-dimensional figure, and interactive type of plane and three-dimensional graphics. Eight problem solving strategies were used in this research, including use of formula, definition or theorem; finding the law to simplify the problem, graphic solution, cut-and-fill, symmetry, double check, blind guessing, and other strategies. The findings of this study were as follows.1. The performance of solving questions was related to the characteristic of geometry items. 2. The strategies students often used were related to different types of items. (1) To solve irregular plane figures, they often find the law to simplify the problem; use formula, definition or theorem, cut-and-fill, graphic solution, symmetry and other strategies. (2) To solve regular plane figures, they often find the law to simplify the problem; use formula, definition or theorem, graphic solution, check and other strategies. (3) To solve interactive type of plane and three-dimensional graphics, they often use formula, definition or theorem, cut-and-fill, and other strategies. 3. The mistake types students often make were confuse of geometry graphic concepts, incorrect use of the formula, misunderstand of the meaning of the item, being careless, and leaving blank.