國中生在動態幾何軟體輔助下臆測幾何性質之研究__臺灣人文及社會科學引文索引資料庫

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題名：	國中生在動態幾何軟體輔助下臆測幾何性質之研究
書刊名：	臺灣數學教育期刊
作者：	鄭英豪／陳建誠／許慧玉
作者(外文)：	Cheng, Ying-hao／Chen, Jian-cheng／Hsu, Hui-yu
出版日期：	2017
卷期：	4:1
頁次：	頁1-34
主題關鍵詞：	動態幾何軟體；幾何性質；程序性反駁模式；臆測；DGS；PRM；Dynamic geometry software；Geometric property；Proceduralized refutation model；Conjecture
原始連結：	連回原系統網址
相關次數：	被引用次數:期刊(1) 博士論文(0) 專書(0) 專書論文(0) 排除自我引用:1 共同引用:9 點閱:40

期刊論文
1.	Fischbein, E.、Nachlieli, T.(1998)。Concepts and figures in geometrical reasoning。International Journal of Science Education，20(10)，1193-1211。
2.	Fischbein, E.(1993)。The theory of figural concepts。Educational Studies in Mathematics，24(2)，139-162。
3.	Koedinger, K. R.、Anderson, J. R.(1990)。Abstract planning and perceptual chunks: Elements of expertise in geometry。Cognitive Science，14(4)，511-550。
4.	Koehler, M. J.、Mishra, P.(2009)。What is technological pedagogical content knowledge?。Contemporary Issue in Technology and Teacher Education，9(1)，60-70。
5.	陳英娥、林福來(19980600)。數學臆測的思維模式。科學教育學刊，6(2)，191-218。延伸查詢
6.	Selden, J.、Selden, A.(1995)。Unpacking the logic of mathematical statements。Educational Studies in Mathematics，29(2)，123-151。
7.	Stein, M. K.、Grover, B. W.、Henningsen, M.(1996)。Building student capacity for mathematical thinking and reasoning: An analysis of mathematical tasks used in reform classrooms。American Educational Research Journal，33(2)，455-488。
8.	Cañadas, M. C.、Deulofeu, J.、Figueiras, L.、Reid, D.、Yevdokimov, O.(2007)。The conjecturing process: Perspectives in theory and implications in practice。Journal of Teaching and Learning，5(1)，55-72。
9.	Gal, H.、Linchevski, L.(2010)。To see or not to see: Analyzing difficulties in geometry from the perspective of visual perception。Educational Studies of mathematics，74(2)，163-183。
10.	Tall, D.、Vinner, S.(1981)。Concept image and concept definition in mathematics with particular reference to limits and continuity。Educational Studies in Mathematics，12(2)，151-169。
11.	Michener, E. R.(1978)。Understanding understanding mathematics。Cognitive Science，2，361-383。
12.	De Villers, M.(2004)。Using dynamic geometry to expand mathematics teachers' understanding of proof。International Journal of Mathematical Education in Science and Technology，35(5)，703-724。
13.	De Villiers, M.(1994)。The role and function of a hierarchical classification of quadrilaterals。For the Learning of Mathematics，14(1)，11-18。
14.	Healy, L.、Hoyles, C.(2001)。Software tools for geometrical problem solving: potential and pitfalls。International Journal of Computers for Mathematical Learning，6(3)，235-256。
15.	Laborde, C.(2001)。Integration of Technology in the Design of Geometry Tasks with Cabri-Geometry。International Journal of Computers for Mathematical Learning，6(3)，283-317。
16.	Laborde, C.(2000)。Dynamic geometry environments as a source of rich learning contexts for the complex activity of proving。Educational Studies in Mathematics，44，151-161。
17.	Mariotti, M. A.(2001)。Justifying and proving in the Cabri environment。International Journal of Computers for Mathematical Learning，6(3)，257-281。
18.	Yerushalmy, M.、Chazan, D.(1990)。Overcoming visual obstacles with the aid of the Supposer。Educational Studies in Mathematics，21(3)，199-219。
19.	Arzarello, F.、Olivero, F.、Paola, D.、Robutti, O.(2002)。A congnitive analysis of dragging practises in Cabri environments。ZDM--The International Journal on Mathematics Education，34(3)，66-72。
20.	Chazan, D.(1993)。High school geometry students' justification for their views of empirical evidence and mathematical proof。Educational Studies in Mathematics，24(4)，359-387。
21.	de Villiers, M.(1999)。A sketchpad discovery involving areas of inscribed polygons。Mathematics in School，28(2)，18-21。
22.	Erez, M. M.、Yerushalmy, M.(2006)。"If you can turn a rectangle into a square, you can turn a square into a rectangle..." Young students experience the dragging tool。International Journal of Computers for Mathematical Learning，11(3)，271-299。
23.	González, G.、Herbst, P.(2009)。Students' conceptions of congruency through the use of dynamic geometry software。International Journal of Computers for Mathematical Learning，14(2)，153-182。
24.	Haspekian, M.(2005)。An "instrumental approach" to study the integration of a computer tool into mathematic teaching: The case of spreadsheets。International Journal of Computers for Mathematical Learning，10(2)，109-141。
25.	Klaczynski, P. A.、Narasimham, G.(1998)。Representations as mediators of adolescent deductive reasoning。Developmental Psychology，34(5)，865-881。
26.	Leung, A.(2008)。Dragging in a dynamic geometry environment through the lens of variation。International Journal of Computers for Mathematical Learning，13(2)，135-157。
27.	Olivero, F.、Robutti, O.(2007)。Measuring in dynamic geometry environments as a tool for conjecturing and proving。International Journal of Computers for Mathematical Learning，12(2)，135-156。
28.	Reid, D. A.(2002)。Conjectures and refutations in grade 5 mathematics。Journal for Research in Mathematics Education，33(1)，5-29。
29.	Ruthven, K.、Laborde, C.、Leach, J.、Tiberghien, A.(2009)。Design tools in didactical research: Instrumenting the epistemological and cognitive aspects of the design of teaching sequences。Educational Researcher，38(5)，329-342。

會議論文
1.	Baccaglini-Frank, A.、Mariotti, M. A.、Antonini, S.(2009)。Different perceptions of invariants and generality of proof in dynamic geometry。The 33rd Conference of the International Group for the Psychology of Mathematics Education。Thessaloniki：PME。89-96。
2.	Boero, P.(2006)。Habermas' theory of rationality as a comprehensive frame for conjecturing and proving in school。The 30th Conference of the International Group for the Psychology of Mathematics Education。Prague：PME。185-192。
3.	Cheng, Y. H.、Lin, F. L.(2006)。Using reading and coloring to enhance incomplete prover's performance in geometry proof。The 30th Conference of the International Group for the Psychology of Mathematics Education。Prague：PME。289-296。
4.	Cheng, Y. H.、Lin, F. L.(2007)。The effectiveness and limitation of reading and coloring strategy in learning geometry proof。The 31st Conference of the International Group for the Psychology of Mathematics Education。Seoul：PME。113-120。
5.	Cheng, Y. H.、Lin, F. L.(2008)。A study on left behind students for enhancing their competence of geometry argumentation。The Joint Meeting of 32nd Conference of the International Group for the Psychology of Mathematics Education and PME-NA XXX。Morelia：PME。305-312。
6.	Hegarty, M.(2004)。Diagrams in the mind and in the world: Relations between internal and external visualizations。Berlin：Springer-Verlag。1-13。
7.	Hsu, H. Y.(2008)。Learning opportunity of reasoning: The interplay between gestures and diagrammatic properties。The 11th International Congress on Mathematical Education。Monterrey。
8.	Lin, F. L.、Wu Yu, J. Y.(2005)。False proposition-As a means for making conjectures in mathematics classrooms。The Invited speech in Asian Mathematical Conference。Singapore。
9.	Wu Yu, J. Y.、Hsu, H. Y.、Lin, C. J.、Chin, E. C.(2009)。Validating a conditional statement: The role of empirical examples。The 33rd Conference of the International Group for the Psychology of Mathematics Education。Thesalloniki：PME。

研究報告
1.	林福來(2010)。數學臆測活動的設計、教學與評量：總計畫。嘉義：國立嘉義大學。延伸查詢

學位論文
1.	Hsu, H. Y.(2010)。The study of Taiwanese students' experiences with geometric calculation with number (GCN) and their performance on GCN and geometric proof (GP)(博士論文)。University of Michigan，Ann Arbor, MI.。

圖書
1.	Lakatos, Imre(1976)。Proof and Refutations: The Logic of Mathematical Discovery。Cambridge：Cambridge University Press。
2.	National Council of Teachers of Mathematics(2000)。Principles and Standards for School Mathematics。National Council of Teachers of Mathematics。
3.	Mason, J.、Burton, L.、Stacey, K.(1982)。Thinking Mathematically。London：Addison Wesley。
4.	Resnick, L. B.(1975)。Task analysis in instructional design: Some cases from mathematics。Pittsburgh, PA：Learning Research and Development Center。
5.	Merriam, Sharan B.(1998)。Qualitative research and case study applications in education。Jossey-Bass。
6.	Strauss, Anselm L.、Corbin, Juliet M.(1998)。Basics of qualitative research: Techniques and procedures for developing grounded theory。Sage。

圖書論文
1.	Ball, D. L.、Bass, H.(2003)。Making mathematics reasonable in school。A research companion to principles and standards for school mathematics。Reston, VA：National Council of Teachers of Mathematics。
2.	Duval, R.(1995)。Geometrical pictures: Kinds of representation and specific processings。Exploiting mental imagery with computers in mathematics education。Springer-Verlag。
3.	Greeno, J. G.(1980)。Some examples of cognitive task analysis with instructional implications。Aptitude, learning and instruction。Hillsdale, N. J.：Lawrence Erlbaum。
4.	鄭英豪(2010)。數學臆測與證明學習連續性的教與學研究。數學臆測活動的設計、教學與評量。臺北：國立臺灣師範大學。延伸查詢
5.	Erickson, F.(2006)。Definition and analysis of data from videotape: Some research procedures and their rationales。Handbook of complimentary methods in education research。Mahwah, NJ：Lawrence Erlbaum Associates。
6.	Laborde, C.(2005)。The hidden roleof diagrams in students' construction of meaning in geometry。Meaning in mathematics education。New York, NY：Springer。

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