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題 名 | 原住民學生數學文字題解題行為之研究=A Study of Problem-solving in Mathematical Word Problems of Aboriginal Students |
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作 者 | 黃志賢; | 書刊名 | 明志技術學院學報 |
卷 期 | 33 2001.06[民90.06] |
頁 次 | 頁49-59 |
分類號 | 529.9 |
關鍵詞 | 原住民; 數學文字題; 代數方法; 解題路徑; Aboriginal students; Mathematical word problems; Algebraic method; Solution path; |
語 文 | 中文(Chinese) |
中文摘要 | 本研究之目的旨在利用解題路徑及應用Mayer的四個解題成分做為分析解題行為的 架構,來探討原住民學生在解數學文字題的過程中所使用的解題方法與知識、出現的數學錯 誤概念,不同得分組、不同族群學生在解題路徑的差異,以及母語能力與數學文字題解題能 力之相關。本研究以四題數學文字題及一份「文化概念與數學學習問卷」對阿美族、泰雅族 、布農族及排灣族各 12 名,共 48 名學生進行施測,所得資料經原案分析後,得到以下數 項結果: 1. 大多數原住民學生不會用代數方法解題或無法瞭解題意, 即學生在語言知識、基模知識 及策略知識等均十分匱乏。 2. 大多數原住民學生不會解方程式也不會處理有關 x 的運算,即學生缺乏程序性知識;學 生也自我認知到這部分的學習遇到最大的困難。 3. 多數原住民學生缺乏問題轉譯及問題整合的能力。 4. 入學考試數學科成績越高者,其使用代數方法解題的比例也越高。 |
英文摘要 | The purpose of this study is to investigate the problem-solving behaviors of the aboriginal students when they engage in solving mathematical word problems. Forty-eight students who live in twelve counties were stratified random sampled from four aboriginal groups. Four mathematical word problems were administered and the subjects solved the problems with pen and paper. The protocols were analyzed by means of solution path and Mayer's method. The main findings of this study are as follows: 1.The most aboriginal students either can not solve problem by algebraic method or can not understand it's meaning. 2.The most aboriginal students can not solve equations and can not handle the operation with symbol x, that is, the students are lack of the knowledge of procedure. 3.The most aboriginal students are lack of the abilities for translating and combining problem. 4.The higher mathematical scores, the higher ratio of using algebraic method to solve problems. |
本系統中英文摘要資訊取自各篇刊載內容。