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題 名 | 國二生多項式四則運算錯誤類型之調查研究=A Study of Error Patterns in Polynomials Operation by Eighth Graders in Kaohsiung City |
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作 者 | 郭正仁; 謝哲仁; | 書刊名 | 科學教育研究與發展季刊 |
卷 期 | 31 2003.06[民92.06] |
頁 次 | 頁54-77 |
分類號 | 524.32 |
關鍵詞 | 多項式; 錯誤類型; Polynomials; Error pattern; |
語 文 | 中文(Chinese) |
中文摘要 | 多項式四則運算為代數運算的基礎,也是算術與代數之間的重要橋樑。本研究藉由高市58位數學教師的專業知識及262名國二生的紙筆測驗,來分析學生的錯誤情形與類型,伴隨非結構性的面談,來探究其原因。研究發現學生在圖形題方面最易產生錯誤,文字題的空白佔有率最高,除法逆運算的認知最難,而常有定義認知、類推、括號、移項等方面的錯誤類型。問題結構的表徵錯誤、定義公式等基模知識的認知不足及舊經驗的不當類推,是形成錯誤的主要原因,而語言轉譯、基模、策略、程序知識的缺乏與圖形的直覺映像,更憑添文字題與圖形題在轉換成代數表徵時的錯誤。 |
英文摘要 | Polynomials operation serves as the foundation of algebraic operation. This study explores the errors patterns in polynomials operation and analyzes the causes for errors made by the eighth graders in Kaohsiung city as the basis for providing maximal benefits to teachers' (remedial) instruction, assessment, and future study. Subjects in this study include 58 mathematics teachers and 262 eighth graders in four junior high schools. Students are first surveyed for identifying their errors and asked for an unstructured interview to further explore the causes for errors. This study indicates that students are easiest to cause errors in the question of graph, the rate of space is highest in the question of character, and the cognizance of inverse operation of division is most hard. Students exhibit dominant errors in: definition, analogy, term move, and sign of aggregation. |
本系統中英文摘要資訊取自各篇刊載內容。