國三學生數學觀念之研究__臺灣人文及社會科學引文索引資料庫

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題名：	國三學生數學觀念之研究
書刊名：	科學教育學刊
作者：	李浩然／柳賢
作者(外文)：	Lee, Hao-jan／Leou, Shian
出版日期：	2012
卷期：	20:3
頁次：	頁267-294
主題關鍵詞：	性別差異；數學成就；數學觀念；Gender different；Mathematics achievement；Conceptions of mathematics
原始連結：	連回原系統網址
相關次數：	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:6 共同引用:5 點閱:25

從數學教育的相關研究可發現，學生的數學觀念會影響其數學學習與解題。因此本研究的目的在於探討國中學生的數學觀念，研究者選取高雄市某國中三年級4個班級共122位學生進行研究，並將所蒐集的晤談資料以現象描述分析法進行分析。研究結果發現，學生的數學觀念包含元素、計算、工具、建模、抽象思考與理解等六個主要焦點面向，若再加以區分可以細分成十種數學觀念類型。此外在性別與數學觀念這兩個因素間並未達到顯著差異，但是在數學成就與數學觀念間，研究者發現高數學成就的學生比低數學成就的學生抱持更為寬廣的數學觀念，而中數學成就的學生之數學觀念則以應用與建模為主，且已達顯著差異(p = .000)。本研究中除了驗證先前的相關研究外，還更深入的分析國中學生的數學觀念，與初步探討國中學生數學觀念與性別和數學成就間的關係；藉此寄望研究結果能提供數學教師與研究者，更瞭解學生對於數學的看法，進而能協助其數學的學習。

以文找文

It is well established in the research literature that student’s conceptions of mathematics influence their mathematics learning and problem solving. The purpose of this study was to explore junior high school students’ conceptions of mathematics. Interview data from 122 junior high school students in Kaohsiung were collected and analyzed using phenomenographic methods. Data from the interviews suggests that students’ conceptions of mathematics focus on six dimensions: elements, calculation, instrument, modeling, abstract thinking and understanding. Analysis of the data showed no gender differences on the various dimensions; however, a significant difference between mathematics achievement and conceptions of mathematics (p = .000) was observed. The analysis also suggests that high achieving mathematics students hold broader conceptions of mathematics than low achieving mathematics students and that middle achieving mathematics students appear to focus on application and modeling. It is hoped that the results of this study will provide insight for mathematics teachers and researchers into the views students hold about mathematics and the basis for helping students improve their mathematics learning.

以文找文

期刊論文
1.	House, J. D.(2006)。Mathematics beliefs and achievement of elementary school students in Japan and the United States: Results from the Third International Mathematics and Science Study。Journal of Genetic Psychology，167，31-45。
2.	Agudelo-Valderrama, C.(2008)。The power of Colombian mathematics teachers’ conceptions of social/institutional factors of teaching。Educational Studies in Mathematics，68(1)，37-54。
3.	McLeod, D. B.(1994)。Research on affect and mathematics learning in the JRME: 1970 to the present。Journal for Research in Mathematics Education，25(6)，637-647。
4.	Li, Q.(1999)。Teachers' beliefs and gender differences in mathematics: A review。Educational Research，41(1)，63-76。
5.	Schunk, D. H.(1996)。Goal and self-evaluative influences during children's cognitive skill learning。American Educational Research Journal，33(2)，359-382。
6.	Thompson, A. G.(1984)。The relationship of teachers' conceptions of mathematics and mathematics teaching to instructional practice。Educational Studies in Mathematics，15(2)，105-128。
7.	Petocz, Peter、Reid, Anna、Wood, Leigh N.、Smith, Geoff H.、Mather, Glyn、Harding, Ansie、Engelbrecht, Johann、Houston, Ken、Hillel, Joel、Perrett, Gillian(20070900)。Undergraduate Students' Conceptions of Mathematics: An International Study。International Journal of Science and Mathematics Education，5(3)，439-459。
8.	黃國清(2008)。數學學習成就之性別差異研究--以九年一貫課程七年級數學綱要為例。中等教育，59(4)，40-56。延伸查詢
9.	Garofalo, J.(1989)。Beliefs a1nd their influence on mathematical performance。The Mathmatics Teacher，82(7)，502-505。
10.	Reid, A.、Petocz, P.、Smith, G. H.、Wood, L. N.、Dortins, E.(2003)。Mathematics students' conceptions of mathematics。New Zealand Journal of Mathematics，32，163-172。
11.	Cano, F.、Cardelle-Elawar, M.(2004)。An integrated analysis of secondary school students' conceptions and beliefs about learning。European Journal of Psychology of Education，19(2)，167-187。
12.	Crawford, K.、Gordon, S.、Nicholas, J.、Prosser, M.(1994)。Conceptions of mathematics and how it is learned: The perspectives of students entering university。Learning and Instruction，4(4)，331-345。
13.	Crawford, K.、Gordon, S.、Nicholas, J.、Prosser, M.(1998)。University mathematics students' conception of mathematics。Studies in Higher Education，23(1)，87-94。
14.	Akerlind, G. S.(2005)。Variation and commonality in phenomenographic research methods。Higher Education Research & Development，24(4)，321-334。
15.	Brunner, M.、Krauss, S.、Kunter, M.(2008)。Gender differences in mathematics: Does the story need to be rewritten?。Intelligence，36(5)，403-421。
16.	Geist, E. A.、King, M.(2008)。Different, not netter: Gender differences in mathematics learning and achievement。Journal of Instructional Psychology，35(1)，43-52。
17.	Eklund-Myrskog, G.(1997)。The influence of the educational context on student nurses' conceptions of learning and approaches to learning。British Journal of Educational Psychology，67(3)，371-381。
18.	Marton, F.(1981)。Phenomenography-Describing conceptions of the world around us。Instructional Science，10，177-200。
19.	Simon, M. A.、Tzur, R.(2004)。Explicating the role of mathematical tasks in conceptual learning: An elaboration of the hypothetical learning trajectory。Mathematical Thinking and Learning，6(2)，91-104。
20.	Knuth, E.(2002)。Teachers' conceptions of proof in the context of secondary school mathematics。Journal of Mathematics Teacher Education，5(1)，61-88。
21.	Stage, F. K.、Kloosterman, P.(1995)。Gender, beliefs and achievement in remedial college-level mathematics。Journal of Higher Education，66(3)，294-311。
22.	Mason, L.(2003)。High school students' beliefs about maths, mathematical problem solving, and their achievement in maths: A cross-sectional study。Educational Psychology，23(1)，73-85。
23.	Nyaumwe, L.(2004)。The impact of full time student teaching on preservice teachers' conceptions of mathematics teaching and learning。Mathematics Teacher Education and Development，6，19-23。
24.	Ponte, J. P.、Matos, J. F.、Guimaraes, H. M.、Leal, L. C.、Canavarxo, A. P.(1994)。Teachers' and students' views and attitudes towards a new mathematics curriculum: A case study。Educational Studies in Mathematics，26(4)，347-365。
25.	Richardson, J. E. T.(1999)。The concepts and methods of phenomenographic research。Review of Educational Research，69(1)，53-82。
26.	Reid, A.、Wood, L. N.、Smith, G. H.、Petocz, P.(2005)。Intention, approach and outcome: University mathematics students' conceptions of learning mathematics。International Journal of Science and Mathematics Education，3(4)，567-586。
27.	Star, J. R.、Hoffmann, A. J.(2005)。Assessing the impact of standards-based curricula: Investigating students' epistemological conceptions of mathematics。The Mathematics Educator，15(2)，25-34。
28.	Tsai, C. C.(2009)。Conceptions of learning versus conceptions of web-based learning: The differences revealed by college students。Computers & Education，53(4)，1092-1103。
29.	Tsai, C. C.、Kuo, P. C.(2008)。Cram school students。conceptions of learning and learning science in Taiwan，30(3)，353-375。
30.	Zakaria, E.、Musiran, N.(2010)。Beliefs about the nature of mathematics, mathematics teaching and learning among trainee teachers。The Social Sciences，5(4)，346-351。

會議論文
1.	Wong, N. Y.(2000)。The conception of mathematics among Hong Kong students and teachers。The MAVI-9 European workshop。Duisburg：Gerhard Mercator Universität Duisburg。103-108。
2.	da Ponte, J. P.(1994)。Knowledge, beliefs and conceptions in mathematics teaching and learning。Pavia, Italy。169-177。
3.	Grootenboer, P. J.(2003)。The affective views of primary school children。Honolulu, HI。
4.	Grouws, D. A.、Howald, C. L.、Colangelo, N.(1996)。Student conceptions of mathematics: A comparison of mathematically talented students and typical high school algebra students。New York。
5.	Lepmann, L.、Afanasjev, J.(2005)。Conceptions of mathematics in different ability and achievement groups among 7th grade students。Linkoping, Sweden。185-194。
6.	Tall, D.(2002)。Differing modes of proof and belief in mathematics。Taipei, Taiwan。
7.	Tall, D.(2004)。Thinking through three worlds of mathematics。Bergen, Norway。
8.	Young-Loveridge, J.、Taylor, M.、Sharma, S.、Hawera, N.(2006)。Students' perspectives on the nature of mathematics。Adelaide, Australia。1，583-590。

學位論文
1.	Agudelo-Valderrama, C.(2004)。Explanations of attitudes to change: Colombian mathematics teachers' conceptions of their own teaching practices of beginning algebra。Monash University，Melbourne, Australia。
2.	Kesler, R. J.(1985)。Teachers' instructional behavior related to their conceptions of teaching and mathematics and their level of dogmatism: Four case studies。University of Georgia，Athens, GA。

圖書
1.	Lesh, R.、Doerr, H. M.(2003)。Beyond Constructivism: Models and Modeling Perspectives on Mathematics Teaching, Learning, and Problem Solving。Mahwah, NJ：Lawrence Erlbaum Associates, Inc.。
2.	Mullis, I. V. S.、Martin, M. O.、Foy, P.、Olson, J. F.、Preuschoff, C.、Erberber, E.、Arora, A.、Galia, J.(2008)。TIMSS 2007 international mathematics report: Findings from IEA's trends in international mathematics and science study at the fourth and eighth grades。Chestnut Hill, MA：TIMSS & PIRLS International Study Center, Boston College。
3.	Ernest, Paul(1991)。The Philosophy of Mathematics Education。London。
4.	Mullis, I. V. S.、Martin, M. O.、Gonzalez, E. J.、Chrostowski, S. J.(2004)。TIMSS 2003 International Mathematics Report: Findings from IEA's Trends in International Mathematics and Science Study at the Fourth and Eighth Grades。TIMSS & PIRLS International Study Center, Boston College。
5.	Hughes, M.(1986)。Children and number: Difficulties in learning mathematics。Oxford, UK。
6.	Gurian, M.、Henley, P.、Trueman, T.(1999)。Boys and girls learn differently! A guide for teachers and parents!。San Francisco, CA。
7.	Lakatos, I.(1986)。A renaissance of empiricism in the recent philosophy of mathematics?。New directions in the philosophy of mathematics。Boston, MA。
8.	Noddings, N.(1990)。Constructivism in mathematics education。Constructivist views on the teaching and learning of mathematics (Journal for Research in Mathematics Education: Monograph 4)。Reston, VA。
9.	Putnam, H.(1986)。What is mathematical truth?。New directions in the philosophy of mathematics。Boston, MA。
10.	Hersh, R.(1986)。Some proposals for revising the philosophy of mathematics。New directions in the philosophy of mathematics。Boston, MA。
11.	Marton, F.(1988)。Phenomenography: exploring different conceptions of reality。Qualitative approaches to evaluation in education: The silent scientific revolution。New York。

其他
1.	Hall, R. D. G.(2002)。An analysis of views of the nature of mathematics by gender，http://people.exeter.ac.uk/PErnest/pomel6/docs/hall.pdf， 20110817。

圖書論文
1.	Kehle, P. E.、Lester, F. K.(2003)。A semiotic look at modeling behavior。Beyond constructivism: Models and modeling perspectives on mathematics problem solving, learning, and teaching。Mahwah, NJ：Lawrence Erlbaum Association。
2.	Ernest, P.(1989)。The impact of beliefs on the teaching of mathematics。Mathematics teaching: The state of the art。New York：Falmer Press。
3.	Leder, G. C.(1992)。Mathematics and gender: Changing perspectives。Handbook of research on mathematics teaching and learning: A project of the National Council of Teachers of Mathematics。New York：Macmillan。
4.	Thompson, A. G.(1992)。Teachers' beliefs and conceptions: A synthesis of the research。Handbook of research on mathematics teaching and learning。New York, NY：Macmillan Press。
5.	歐用生(1991)。內容分析法。教育研究法。臺北：師大書苑。延伸查詢
6.	Johansson, B.、Marton, F.、Svensson, L.(1985)。An approach to describing learning as change between qualitatively different conceptions。Cognitive structure and conceptual change。Academic Press。

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