低年級學童使用數的分解紀錄對解決加減問題效性之研究

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題名:
低年級學童使用數的分解紀錄對解決加減問題效性之研究
著者: 李貞慧; Lee, Chen-hui
葉啟村; none; 數學教育學系
主題: 數的分解紀錄; 加減問題; numeric separate record; addition and subtraction problem
描述: 本研究係為了協助學生形成加減互逆概念的過程能夠更有效的學習，以獲得較正確的加減互逆概念，因而運用此概念進行數學解題活動，本研究依此目的作為實驗教學設計的準繩。在實驗教學設計中，藉由「數的分解紀錄」（a＝b＋c）引入，協助學生了解加減問題背後的「部份－全體」基模，引導學生形成加減互逆概念。因此，本研究有以下兩項研究方向：一、研究者擬設計將「數的分解紀錄」引入實際教學課程中，欲探討此一課程是否有助於學生形成加減互逆概念。二、研究者欲探討進行實驗教學後，不同數學成就表現的學生在加減互逆概念運用的情形為何。本研究針對台南市安平國小二年級的學生，選擇二個班在八次的成績考查平均相當，且班級教師願意協助的班級進行研究，其中一班作為實驗班進行「數的分解紀錄」引入教學，另一班則作為對照班依課程內容進行教學，在教學前先進行前測，教學後隨即進行後測，並在一個月後進行延後測；還挑選高分組、中分組、低分組學生進行訪談。在教學實驗處理後，將所得的成績，以前測為共變量的因素下，以單因子共變數分析加以考驗，其結論如下：一、在後測表現上，實驗班與對照班在成績表現上並未達顯著差異，亦即「數的分解紀錄」引入對學生學習加減互逆概念上並未有明顯的影響。二、在延後測表現上，實驗班與對照班在成績表現上達顯著差異，亦即「數的分解紀錄」引入對學生學習加減互逆概念的保留概念上有顯著影響。三、實驗班高分組學生已可以掌握加減問題的「部份－全體」基模，並運用此基模進行解題；對照班高分組、實驗班中分組、對照班中分組學生則能在形成階段；實驗班低分組與對照班低分組的學生解數學加減文字題易從題目的關鍵字作答，對加減互逆概念的形成沒有幫助。根據上述教學實驗之研究結果，提出下列建議：一、教師可在教學中試著引入「數的分解紀錄」，引導學生思考，協助學生形成概念。二、教科書編輯委員們亦可試著將此教案（如：附錄七）引入課程中，或把此課程放置教學指引中提供教師教學參考用。
This research is based on the concept wants to help students learn the concept of correlated with addition and subtraction more efficiently, acquire the concept of correlated with addition and subtraction more correct, and adopt the concept to proceed the activity of solving mathematics questions. The objective of this research is to be the guide of the experimental course.In the design of the experimental course, it will assist students to understand the part-whole schema behind the addition and subtraction problem by adopting the numeric separate record（a＝b＋c）. Therefore, there are two researching directions in this research. First, researcher plans to adopt the numeric separate record in the experimental course and to research whether this course helps students form the concept of correlated with addition and subtraction. Second, researcher would like to research how students with different mathematics performance will apply the concept of correlated with addition and subtraction after taking the experimental course.The experimenters of this research are the second grade students of An-Ping elementary school in Tainan. This research picks two classes that have the commensurate grade in eight times of examinations and the preceptors of the classes are willing to help this research to perform this experiment. One of the two classes is the experimental team to adopt the numeric separate record into the courses, and the other is the contrastive team and takes the original courses. Students will take the pre-test before taking the courses, take the post-test after taking the courses immediately and take the follow-up test after one month. Students will be divided into high-grade, medium-grade, low-grade groups and interviewed respectively.After the experiment, the grades will be proofed by one-way analysis of covariance with using the pre-test for factor of the covariate. Below are the conclusions :First, in the performance of the post-test, the grade of the test is no specific difference between experimental class and the contrastive class. It means there is no conspicuous influence on students to understand the concept of correlated with addition and subtraction after adopting the numeric separate record. Second, in the performance of follow-up test, there is a conspicuous difference between the experimental class and the contrastive class. It means there is conspicuous influence on students to understand the concept of correlated with addition and subtraction after adopting the numeric separate record. Third, the students in the high-grade group of the experimental class has captured the idea of the part-whole schema in the addition and subtraction problem; Students of the high-grade group in the contrastive class and the students of the medium-grade group in the experimental class are in the forming stage; Students of the low-grade group in the experimental class and the students of the low-grade group in the contrastive class are used to solve the question according to the key words in the question instead using the concept of correlated with addition and subtraction.Based on the result of the teaching experiment, here are some suggestions. First, teachers can try to adopt the “numeric separate record” into the courses to guide the students to think and help students form the concept. Second, schoolbook committees can try to innovate the teaching plan (appendix 7) into the course or put this course into the teaching direction for teachers to use.
碩士
建立日期: 2002
格式: 121 bytes
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語言: 中文
識別號: http://nutnr.lib.nutn.edu.tw/handle/987654321/5031
資源來源: NUTN IR

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低年級學童使用數的分解紀錄對解決加減問題效性之研究

李貞慧; Lee, Chen-hui 葉啟村; none; 數學教育學系 2002

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