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題名：數學表徵及數學自我效能對國小學生樣式推理學習成效之影響
書刊名：數位學習科技期刊
作者：許瑋芷／陳明溥 引用關係
作者(外文)：Hsu, Wei-chih／Chen, Ming-puu
出版日期：2010
卷期：2:3
頁次：頁42-60
主題關鍵詞：樣式推理；數學表徵；數學教學；虛擬教具；數學自我效能；Pattern reasoning；Mathematical representation；Virtual manipulative；Mathematics self-efficacy
原始連結：連回原系統網址new window
相關次數：
  • 被引用次數被引用次數:期刊(6) 博士論文(0) 專書(0) 專書論文(0)
  • 排除自我引用排除自我引用:6
  • 共同引用共同引用:22
  • 點閱點閱:15
本研究旨在探討不同數學表徵設計之虛擬教具及數學自我效能對國小學生樣式推理思考表現和數學學習態度之影響。研究樣本為台灣中部121位國小五年級學生。研究設計採因子設計之準實驗研究法，自變項包含數學表徵和數學自我效能，數學表徵依教材所使用之表徵方式分為「圖形類型教材」及「數字類型教材」兩種；數學自我效能則依據數學自我效能量表之得分區分為高、低數學自我效能兩組。依變項為「樣式推理思考表現」及「數學學習態度」，樣式推理思考表現包含數字序列推理及圖形序列推 理；數學學習態度則包括：學習興趣、學習動機、及數學焦慮等三個面向。 研究發現：（1）樣式推理學習過程中使用圖形類型教材，可以促進學習者樣式推理思考表現；（2）運用虛擬教具於教學中，可以提升學習者數學學習態度；及（3）高數學自我效能者具有較正向的數學學習態度。
The purpose of this study was to investigate the effects of type of mathematical representation and mathematics self-efficacy on fifth graders’ pattern reasoning and mathematics attitudes. Participants were 121 fifth graders from four classes of an elementary school located in the middle part of Taiwan. A quasi-experimental design with factorial design was employed in the study. The independent variables were type of representation (figural representation vs. symbolic representation) and self-efficacy toward mathematics (high mathematics self-efficacy vs. low mathematics self-efficacy). The dependent variables were pattern reasoning performance, including (a) number patterns and (b) figure patterns, and mathematics attitudes, including (a) enjoyment, (b) motivation, and (c) anxiety. The results showed that (a) the application of figural representation enhanced participants’ pattern reasoning performance, (b) the use of virtual manipulative for teaching mathematics enhanced students’ mathematics attitudes, and (c) students with higher mathematics self-efficacy obtained more positive mathematics attitudes.
期刊論文
1.Steen, K.、Brooks, D.、Lyon, T.(2006)。The impact of virtual manipulatives on first grade geometry instruction and learning。Journal of Computers in Mathematics and Science Teaching，25(4)，373-391。  new window
2.Moyer, P. S.、Bolyard, J. J.、Spikell, M. A.(2002)。What are virtual manipulatives?。Teaching Children Mathematics，8(6)，372-377。  new window
3.Fernandez, M.、Anhalt, C.(2001)。Transition toward algebra。Mathematics Teaching in the Middle School，7(4)，236-241。  new window
4.Anjum, R.(2006)。The impact of self-efficacy on mathematics achievement of primary school children。Pakistan Journal of Psychological Research，21(3)，61-78。  new window
5.Bouffard-Bouchard, T.(1989)。Influence of self-efficacy of performance in a cognitive task。Journal of Social Psychology，130(3)，353-363。  new window
6.Reimer, K.、Moyer, P. S.(2005)。Third-graders learn about fractions using virtual manipulatives: A classroom study。The Journal of Computers in Mathematics and Science Teaching，24(1)，5-25。  new window
7.Rivera, F.、Becker, J. R.(2008)。Middle school children’s cognitive perceptions of constructive and deconstructive generalizations involving linear figural patterns。ZDM: International Journal in Mathematics Education，40，65-82。  new window
8.Siegle, D.、McCoach, D. B.(2007)。Increasing student mathematics self-efficacy through teacher training。Journal of Advanced Academics，18，278-312。  new window
9.張英傑(20010800)。發展九年一貫數學領域課程之省思。國民教育，41(6)，29-38。  延伸查詢new window
10.Hackett, G.、Betz, N. E.(1989)。An exploration of the mathematics self efficacy/mathematics performance correspondence。Journal for Research in Mathematics Education，20(3)，261-273。  new window
11.Lewis, A. B.、Mayer, R. E.(1987)。Students' miscomprehension of relational statements in arithmetic word problems。Journal of Educational Psychology，79(4)，363-371。  new window
12.Sherer, M.、Maddux, J. E.、Mercandante, B.、Prentice-Dunn, S.、Jacobs, B.、Rogers, R. W.(1982)。The self-efficacy scale: Construction and validation。Psychological Reports，51(2)，663-671。  new window
13.Willis, Gordon B.、Fuson, K. C.(1988)。Teaching Children to Use Schematic Drawings to Solve Addition and Subtraction Word Problems。Journal of Educational Psychology，80(2)，192-201。  new window
學位論文
1.吳知賢(1996)。歸因再訓練在國小班級情境實施之研究：錄影媒體教學實驗(博士論文)。國立政治大學。new window  延伸查詢new window
2.蔡志仁(2000)。動態連結多重表徵視窗環境下橢圓學習之研究(碩士論文)。國立臺灣師範大學。  延伸查詢new window
3.鄭千佑(2008)。虛擬教具對國小學生等值分數彈性思考表現之影響(碩士論文)。國立臺灣師範大學。  延伸查詢new window
4.謝孟珊(2000)。以不同表徵表示方程式的未知數對國二學生解題表現(碩士論文)。國立台北師範學院。  延伸查詢new window
5.洪明賢(2003)。國中生察覺數形規律的現象初探(碩士論文)。國立臺灣師範大學。  延伸查詢new window
6.黃芳玉(2003)。國小六年級學生數學表徵能力與計算能力之研究(碩士論文)。國立嘉義大學。  延伸查詢new window
7.楊瑞智(1994)。國小五、六年級不同能力學童數學解題的思考過程(博士論文)。國立師範大學。new window  延伸查詢new window
8.劉信雄(1992)。國小學生認知風格、學習策略、自我效能、與學業成就關係之研究(博士論文)。國立政治大學。  延伸查詢new window
圖書
1.Schunk, D. H.(2007)。Learning theories: An educational perspective。Upper Saddle River, NJ：Prentice Hall。  new window
2.曹亮吉(2003)。阿草的數學聖杯。台北：天下文化。  延伸查詢new window
3.Char, C. A.(1989)。Computer graphics feltboard: New soft-ware approaches for young children's mathematical exploration。San Francisco：American Education Research Association。  new window
4.Bruner, J. S.(1966)。Toward a theory of instruction。New York, NY：W. W. Norton and Company。  new window
5.National Council of Teachers of Mathematics(2000)。Principles and standards for school mathematics。Reston, Virginia：National Council of Teachers of Mathematics。  new window
6.Bandura, Albert(1986)。Social Foundations of Thought and Action: A Social Cognitive Theory。Prentice-Hall, Inc.。  new window
7.Heddens, J. W.(1984)。Today’s Mathematics。Chicago：Science Research Associate。  new window
其他
1.Young, D.(20060613)。Virtual manipulatives in mathematics education，http://plaza.ufl.edu/youngdj/talks/vms.htm， 2008/11/11。  new window
圖書論文
1.Lesh, R.、Post, T.、Behr, M.(1987)。Representations and translations among representations in mathematics learning and problem solving。Problems of Representation in the Teaching and Learning of Mathematics。Hillsdale, New Jersey：Lawrence Erlbaum Associates。  new window
2.Owen, A.(1995)。In search of the unknown: A review of primary algebra。Children's mathematical thinking in the primary years: Perspectives on children's learning。London：Cassell。  new window
3.Kaput, J. J.(1987)。Representation systems and mathematics。Problems of representation in the teaching and learning of mathematics。Hillsdale, NJ：Lawrence Erlbaum。  new window
4.Dreyfus, T.、Eisenberg, T.(1996)。On different facets of mathematical thinking。The nature of mathematical thinking。Mahwah, NJ：Erlbaum。  new window
 
 
 
 
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