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題 名 | 正整數乘法問題解題活動類型之變化--以一個國小二年級學童為例=The Process of Types of Solution Activities of Multiplication Word Problems--A Case Study of Second |
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作 者 | 許美華; | 書刊名 | 國教學報 |
卷 期 | 12 2000.07[民89.07] |
頁 次 | 頁143-178 |
分類號 | 523.42 |
關鍵詞 | 正整數乘法問題; 解題活動類型之變化; 國小二年級學童個案研究; Multiplication word problems; Process of types of solution activities; Case study of second graders; |
語 文 | 中文(Chinese) |
中文摘要 | 本研究的目的在深入探討國小二年級學童正整數乘法問題解題活動類型在不同時間的變化情形。資料蒐集以筆試與訪談為主,其他文件為輔,資料分析則採文件分析法。筆者以一位國小二年級學童-琦琦 (假名)為個案,以自編的乘法問題為工具,來蒐集琦琦在六個不同階段 (教學前、第三單元教學後、第五單元教學後、第七單元教學後、總結教學表現階段、確認期) 的乘法問題解題活動記錄和想法。 從琦琦的筆試及訪談資料中發現: 1. 琦琦乘法問題解題活動類型是從教學前使用加法轉變成教學後使用乘法的,更詳細的說,是從連加法經由兩兩相加法、重複相加法、一位數直接乘法進入二堆乘法的。 2. 乘法問題的類型會影響琦琦解題活動的類型,也就是說,琦琦會選用不同的解題活動類型,來分別解決等組型、直積型與比較型乘法問題。 3. 數字大小對琦琦選用解題活動類型也有影響,例如琦琦在乘法教學以後大多以直接乘法來解決一位數乘以一位數問題;以二堆乘法解決一位數與二位數相乘的問題;對於二位數乘以二位數問題,琦琦則沒有固定的解題活動類型。 |
英文摘要 | The main purpose of this study was to explore the process of types of solution activities of multiplication word problems in the second grades. A student-Chi-chi (pseudo name) was asked to write down her solution activities in written tests and interviewed individually to probe her process in six different stages. Document analysis was used for these collected data. The result of written tests and interviews of Chi-chi indicated that: 1. The types of solution activities of Chi-chi were transformed from addition used before instruction to multiplication used after instruction. In more detail, the process of Chi-chi's types of solution activities was repeated addition, two-group addition, additive doubling, direct multiplication, and two-group multiplication. 2. The types of solution activities of Chi-chi were different in three different types of problems' situation: equal groups, Cartesian product and multiplicative comparison. 3. Chi-chi used different types of solution activities to solve four different numbers' sizes problems: I × I, I × X, X × I, and X × X ( I: 1-9, X: 10-99). |
本系統中英文摘要資訊取自各篇刊載內容。