以單位量概念學習分數除法對國小六年級學童數學學習成效之探討

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題名:
以單位量概念學習分數除法對國小六年級學童數學學習成效之探討
著者: 蔡典安; Tsai, Tien-An
謝碧雪; Bih-Sheue Shieh; 應用數學系數學科教學碩士班
主題: 國小六年級; 分數除法; 單位量概念; 學習成效; the sixth grade students; fraction division; unit quantity concept; learning efficiency
描述: 本研究主要探討以單位量的概念為學習方式對六年級學童進行分數除法教學之學習成效。本研究採用準實驗研究法，研究對象為台南市某國小六年級學童，分為實驗班與對照班。實驗班以單位量概念為主要學習方式進行分數除法教學活動。而對照班則採用一般傳統教學方式進行教學。後測與延後測試題為研究者自編之分數除法試題，於教學活動結束後，分別針對此兩班級實施後測。後測一個月再另行對實驗班進行延後測。研究結果發現摘要如下：一、以單位量概念學習分數除法對國小六年級學童在分數除法概念的學習上，具有良好的學習成效。經獨立樣本t檢定後，實驗班與對照班後測成績，結果達顯著差異，亦即實驗班的後測成績顯著優於對照班，說明實驗班學習成效優於對照班，因此國小六年級學童以單位量概念學習分數除法有良好的學習成效。二、以單位量概念學習分數除法對國小六年級學童在分數除法概念的學習上，具有良好的概念保留效果。經由對實驗班後測與延後測的成績進行成對樣本t檢定，結果顯示實驗班兩次的成績並未達顯著的差異，六年級學童以單位量概念學習分數除法的學習有良好的保留效果。三、國小六年級學童以單位量概念學習分數除法概念的歷程，顯示以單位量概念為主的教學讓學生更容易理解分數除法的概念。由學生的課後學習單中發現，學生以單位量概念學習分數除法的方式讓學生熟悉分數除法的意義，同時透過學生課後單學習單的解題說明，表現了對分數除法的理解。單位量概念不僅可以穩固學生分數的基本概念，同時對於高分組、中分組、低分組學生學習分數除法上都有很大的助益。
The purpose of this research is to discuss the mathematical learning efficiency of using unit quantity concept for the sixth grade students on fraction division.The research is based on quasi-experimental research, with the sixth grade students in Tainan City. The experimental class is with unit quantity concept instruction for fractional division, designed by the researcher while the control class is with traditional instruction. The collected data were analyzed by t-test.According to the statistical analysis from the experiment, the research conclusions are as follows：1.Through Independent samples t-test,the post-test of experimental class and control ones have significant difference in division of fractions. It shows that the learning effects of experimental class are better than control ones with traditional instruction.2. Through paired samples t-test,the delayed post-test of experimental class and the post-test of experimental class have no significant difference in division of fractions. It shows that the unit quantity concept teaching has conservatory effect for the sixth grade students’ ability of solving mathematic problems of fractional division.3. Using unit quantity concept instruction for fraction division can help students more understand the concept of fractional division: we ask the students to write the after-class worksheet in order to look back their thoughts and strategies. We use the after-class worksheet to help students review and consolidate the right concepts. Through these ways, most students can understand and correctly solve the mathematic problems of fraction division.
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建立日期: 2014
格式: 121 bytes
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語言: 中文
識別號: http://nutnr.lib.nutn.edu.tw/handle/987654321/5818
資源來源: NUTN IR

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以單位量概念學習分數除法對國小六年級學童數學學習成效之探討

蔡典安; Tsai, Tien-An 謝碧雪; Bih-Sheue Shieh; 應用數學系數學科教學碩士班 2014

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