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題名 | 國民小學數學科乘法、除法教材類型之分析與研究= |
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作者 | 陳春杏; |
期刊 | 國教學報 |
出版日期 | 19890600 |
卷期 | 2 1989.06[民78.06] |
頁次 | 頁183-220 |
分類號 | 523.42 |
語文 | chi |
關鍵詞 | 乘法; 除法; 國小; 教材; 數學科; 類型; |
中文摘要 | 本研究依Usiskin之乘法和除法的使用意義類型,將現行國民小學數學科乘法和除法教材中之文字題加以歸額分析。其中乘法有三種使用意義,分別是(一)大小改變,(二)交叉運作,(三)比例因子。除法中則有五種使用意義,分別是(一)求同單位量間的比率,(二)求異單位量間的比率,(三)除數為異單位比率的除法,(四)除數為大小改變因子的除法,(五)民求因子。 研究中發現下列情形: (一)乘法中以比例因子型最多,大小改變型最少。除法中則以除數為異單位比率的除法最多,反求因子型最少。 (二)最抽象的三個類型:(一)乘法的大小改變型,(二)求同單位量間比率,(三)除數為大小改變因子的除法,多集中在第十二冊中。 (三)在大部份類型中,試算題皆僅佔示例題的三分之一左右。 (四)教材中所採用的情境常重複。在不同的單元、不同冊中常出現類似或完全相同的情境。 |
英文摘要 | A classification and analysis of the multiplication and division word problems in the current elementary school mathematics curriculum was made according to the scheme developed by Usiskin. In this scheme, multiplication has three use meanings: (1) size change, (2) acting across, (3) rate factor; and division has five use meanings: (1) ratio, (2) rate, (3) rate divisor, (4) size change divisor, (5) recovering factor. The results were as follows: 1. The majority of multiplication problems were rate factor problems with size change problems being the fewest. Most division problems were of the rate divisor type with recovering factor problems being the least common problem type. 2. The most abstract use meanings: (1) size change, (2) ratio, (3) size change divisor were mostly found In the twelfth level text. 3. In most classes of problems, worked examples represent only one-third of the examples. 4. The plots used in the problems were often repeated so that the exact plot or very similar plots appeared in different units at different levels. |
本系統之摘要資訊系依該期刊論文摘要之資訊為主。