Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/98475
標題: 台中地區某國中國一學生線型函數及其圖形單元錯誤類型分析
Analysis of the Types of Errors Found in the Linear Functions and Figure Unit among Seventh-Grade Students-A Junior High School in Taichung City as an Example
作者: 張俊傑
Chun-Chieh Chang
關鍵字: 錯誤類型分析;函數;線型函數與圖形;analysis of the types of errors;functions;linear functions and figures
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摘要: 
本研究主要目的在探討使用國中康軒版數學的國一學生在學習「線型函數及其圖形單元」後產生的錯誤類型及分析其錯誤原因,其分析方式則是依據學生在各試題實際作答之錯誤類型中,找出具代表性的錯誤類型,進行深入分析其錯誤原因,並配合題目設計架構,將所有試題從七個面向去深入詳細探討,這七個面向分別為題意解讀、試題分析、常見錯誤想法、試題統計、學生正確算式的實例、學生錯誤算式的實例、錯誤類型與錯誤原因情形分析。
研究者將試卷分成15題,共30小題,將每小題深入分析錯誤類型與錯誤原因後,歸納整理後,針對「線型函數及其圖形」單元題型,整理出學生常犯的錯誤類型與錯誤原因,分析整理後如下:
一、 學生解「線型函數與圖形」的錯誤類型
1.不清楚題意
2.不瞭解函數定義
3.數學計算錯誤
4.不瞭解函數性質的應用
5.表達運算式子的能力差
二、 學生解「線型函數與圖形」的錯誤原因
(一)數學基礎不好
1.數學算式表達上不合乎定義
2.不瞭解數學運算規則
3.四則運算混合過程沒有括號
4.運算過程和列出運算式不合
5.計算上容易粗心算錯
(二)閱讀題目問題
1.不懂名詞解釋
2.誤解題目意思
(三)缺乏概念與概念不完整
1.不瞭解自變數與應變數
2.不會判斷函數
3.不會將函數生活化
4.沒有依照題目規定方法作答

The main purpose of this study is to explore the types of errors found among seventh-grade students who use the Kang Hsuan version of junior high mathematics after learning the 'Linear Functions and Figure unit' and analyze the causes of the errors. The analysis method in this study is conducted firstly by finding the most prevalent types of errors made based on the types of errors that the students actually make in each question. Then, an in-depth analysis of the causes of the errors is conducted, and in accordance with the topic design structure, all the test questions are explored in depth from seven different aspects. These seven aspects are as follows: interpretation of the meaning of the question, analysis of the test questions, commonly mistaken ideas, statistics of the test questions, examples of the correct equations by the students, examples of the students' wrong equations, and the types of errors and the analysis of the causes of the errors.
The researcher(s) divided the test paper into 15 questions with a total of 30 sub-questions. After in-depth analysis and assortment of the types of errors and the causes of the errors for each sub-question, the types of mistakes students often make in 'Linear Functions and Figure' unit questions and causes are sorted out. The analysis is as follows:
A. The types of errors made by the students when answering Linear Functions and Figure questions
1. The student is unclear about the question's meaning
2. The student does not understand linear functions
3. The student made an error in calculation
4. The student does not understand how to apply the nature of the function
5. The student has a poor ability in expressing the equation
B. The causes of students' errors in Linear Functions and Figure questions
(A) Poor mathematical foundation
1. The student's expression of the mathematical equation does not fit the definition
2. The student does not understand mathematical rules
3. Parentheses were not included when using the four arithmetic calculations
4. The mathematical operation does not match the equation specified
5. Carelessness when calculating
(B) Trouble with reading the question
1. The student has trouble with certain word meanings
2. The student misunderstood the question
(C) Lack of concepts or fragmentary concepts
1. The student does not understand independent/dependent variables
2. The student cannot decipher functions
3. The student does not know how to apply functions
4. The student did not answer according to the question's specifications
URI: http://hdl.handle.net/11455/98475
Rights: 同意授權瀏覽/列印電子全文服務,2021-08-28起公開。
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