:::

詳目顯示

回上一頁
題名:探討高中數學教學融入建模活動的支撐策略及促進參與教師反思的潛在機制
書刊名:科學教育學刊
作者:楊凱琳林福來
作者(外文):Yang, Kai-linLin, Fou-lai
出版日期:2006
卷期:14:5
頁次:頁517-543
主題關鍵詞:反思機制教師專業成長數學建模Mathematical modelingTeachers' professional developmentMechanism of reflection
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(9) 博士論文(4) 專書(0) 專書論文(0)
  • 排除自我引用排除自我引用:8
  • 共同引用共同引用:0
  • 點閱點閱:133
在台灣不利於數學建模教學的環境中,透過參與協同行動研究的過程,本文分析可支撐高中數學教師在既有的上課時間與教材內容中融入數學建模教學活動的策略,由參與教師的改變評估支撐策略可能的成效,並進一步探討可促進教師反思的潛在機制。一年半的研究過程中,由一位研究者先以參與的研究者之角色和參與教師共同討論,設法解決在協同行動研究過程中所面臨的障礙。之後,再由兩位研究者分別以參與和觀察研究者的角度來詮釋此行動研究的歷程。研究發現參與教師所顯現的成長,包含對教材設計的考量從課本教材的相關性、問題情境的多元性與子活動順序的流暢性已逐漸擴充至關心學生既有經驗的聯結性與教材是否引動學生發展多樣的建模策略;教學方法的使用從主導者、旁觀提示者、經營管理者逐漸展現有預謀的參與討論者;對學生建模思維的瞭解,也從數學解題的觀點轉化成數學建模的思維模式。檢視參與教師在各學習脈絡中的成長後,也驗證了提供教材資源有助於建立參與教師實作的信心,利用一次觀摩其他教師的教學可突破其反思的侷限,而開放討論數學建模思維的分析模式也激發參與教師設計新的教學活動。此外,透過「解惑」的觀點來分析參與教師與研究者的互動歷程後,「雙重體驗為憑的交流」、「同理心的投射」和「不確定感的激發」被認定為促進教師反思成長可能的潛在機制。本文在實作上可提供師資培育者或教師進行專業發展時一些新的支撐策略,在理論上則基於「解惑」觀點來探討可促進參與教師反思的潛在機制,此探討可以讓教育學者更有效地掌握教師專業發展的歷程,也希望未來的研究可以從本文所探討的潛在機制來擬定適合不同特質教師的支撐策略。
This paper reports on how the researchers assisted a senior high school teacher to insert mathematical modeling into his teaching in the context of time and content constraints. The paper examines the effects of the teaching strategies as well as the latent mechanism of promoting teachers’ reflection in terms of the “solving doubt” theory. During the research process of one and half years, one researcher collaborated with the participating teacher with aim of helping this teacher overcome obstacles in teaching mathematical modeling. Subsequently, both researchers interpreted the data from this process. The teacher’s growth during the participating process was demonstrated by (a) teaching materials: consideration of the relevance of textbooks, the diversity of problem situations, movement from the fluency of sequential activities to consideration for the association with students’ experience and the variety of students’ modeling strategies initiated by the teaching material; (b) teaching method: playing the leading role in the beginning, the hinting and observing role, the managing role followed by the premeditating and discussing role; (c) students’ modeling thought: changing the perspective from problem solving to mathematical modeling. After examining the teacher’s growth under each learning context, it is confirmed that providing the source of teaching material is helpful in establishing the teachers’ confidence, inspecting and learning from another teacher’s teaching can break through the limitation of teachers’ reflection, and openly discussing the analysis framework of students’ modeling thought encourages teachers to design new activities. This paper provides educators or teachers with new strategies for professional development in practice. This analysis of the latent mechanism underlying this teacher’s reflection may help educators elaborate the process of professional development.
期刊論文
1.Doerr, H. M.、English, L. D.(2003)。A Modeling perspective on students’ mathematical reasoning about data。Journal of Research in Mathematics Education,34(2),110-136。  new window
2.Lin, F. L.、Yang, K. L.(2005)。Distinctive Charateristics of Mathematical Thinking in a Nonmodeling Friendly Environment。Teaching Mathematics and Its Applications,24(2/3),97-106。  new window
3.Heaton, R. M.、Mickelson, W. T.(2002)。The Learning and Teaching of Statistical Investigation in Teaching and Teacher Education。Journal of Mathematics Teacher Education,5(1),35-59。  new window
4.Colton, A. B.、Sparks-Langer, G. M.(199103)。Synthesis of Research on Teachers' Reflective Thinking。Educational Leadership,48(6),37-44。  new window
5.Pedersen, S.、Liu, M.(2003)。Teachers' beliefs about issues in the implementation of a student-centered learning environment。Educational Technology Research and Development,51(2),57-76。  new window
6.Fullan, M. G.、Miles, M. B.(1992)。Getting reform right: What works and what doesn't。Phi Delta Kappan,73(10),745-752。  new window
7.Carpenter, T. P.、Fennema, E.、Franke, M. L.、Levi, L.、Jacobs, V. R.、Empson, S. B.(1996)。A Longitudinal Study of Learning to Use Children's Thinking in Mathematics Instruction。Journal for Research in Mathematics Education,27(4),16-32。  new window
8.Blum, W.(2002)。ICMI Study 14: Applications and Modeling in Mathematics Education-Discussion Document。Educational Studies in Mathematics,51(1),149-171。  new window
9.Burrill, G.(1997)。The NCTM Standards: Eight Years Later。School Science and Mathematics,97,335-339。  new window
10.Cai, J.、Lo, J. J.(2002)。Intended Treatments of Arithmetic Average in U.S. and Asian School Mathematics Textbooks。School Science and Mathematics,102(8),391-404。  new window
11.Campbell, P. F.(1997)。Connecting Instructional Practice to Students Thinking。Teaching Children Mathematics,4(2),106-111。  new window
12.Dorward, J.(2002)。Intuition and Research: Are They Compatible?。Teaching Children Mathematics,8,329-332。  new window
13.Herman, W. E.(1998)。Promoting Pedagogical Reasoning as Preservice Teachers Analyze Case Vignettes。Journal of Teacher Education,49(5),391-397。  new window
14.Hiebert, J.、Wearne, D.(1993)。Instructional Tasks, Classroom Discourse and Students' Learning in Second-grade Arithmetic。American Educational Research Journal,30,393-425。  new window
15.Kaiser, G.、Willander, T.(2005)。Development of Mathematical Literacy: Results of an Empirical Study。Teaching Mathematics and Its Applications,24(2/3),48-60。  new window
16.Lege, J.(2005)。Approaching Minimal Conditions for the Introduction of Mathematical Modeling。Teaching Mathematics and its Applications,24(2/ 3),48-60。  new window
17.Lesh, R.、Lehrer, R.(2003)。Models and Modeling Perspectives on the Development of Students and Teachers。Mathematical Thinking and Learning,5,109-129。  new window
18.Lin, P. J.(2002)。On Enhancing Teachers' Knowledge by Constructing Cases in Classrooms。Journal of Mathematics Teacher Education,5(4),317-349。  new window
19.Ponte, J. P.、Oliveira, H.、Varandas, J. M.(2002)。Development of Pre-service Mathematics Teachers' Professional Knowledge and Identity Working with Information and Communication Technology。Journal of Mathematics Teacher Education,5(2),93-115。  new window
20.Potari, D.、Jaworski, B.(2002)。Tackling Complexity in Mathematics Teaching Development: Using the Teaching Triad as a Tool for Reflection and Analysis。Journal of Mathematics Teacher Education,5(4),351-380。  new window
21.Rogers, C. R.(1964)。Toward a Modern Approach to Values: The Valuing Process in the Mature Person。Journal of Abnormal and Social Psychology,68,160-167。  new window
22.Van Zoest, L.、Bohl, J. V.(2002)。The Role of Reform Curricular Materials in an Internship: The Case of Alice and Gregory。Journal of Mathematics Teacher Education,5(3),265-288。  new window
會議論文
1.Duval, R.(2000)。Basic Issues for Research in Mathematics Education。The 24th Conference of the International Group for the Psychology of Mathematics Education。Hiroshima。55-69。  new window
2.Kieren, T. E.、Pirie, S. E. B.(1992)。The Answer Determines the Question: Interventions and the Growth of Mathematical Understanding。0。  new window
3.Lin, F. L.(2003)。Issues of Integrating Mathematics into Pedagogical Knowledge。Annual Conference of the Korean Mathematics Education Society。0。  new window
研究報告
1.大學入學考試中心(1999)。指定科目考試規畫研究(一)研究報告。0。  延伸查詢new window
2.林福來、楊凱琳、陳嘯虎、呂又寧(2003)。透過數學建模活動培養高中生的數學創造力。0。  延伸查詢new window
圖書
1.Gravemeijer, K. P. E.(1994)。Developing realistic mathematics education。Utrecht, the Netherlands:CD β Press。  new window
2.Brookfield, S.(1995)。Becoming a critically reflective teacher。San Francisco:Jossey-Bass。  new window
3.Manson, J.、Burton, L.、Stacey, K.(1985)。Thinking Mathematically。Addison-Wesley Publishers。  new window
4.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.。  new window
5.Schön, Donald A.、夏林清、鄭村棋(2004)。反映的實踐者:專業工作者如何在行動中思考。台北:遠流。  延伸查詢new window
6.Piaget, Jean、Piercy, M.、Berlyne, D. E.(1950)。The Psychology of Intelligence。Routledge and Kegan Paul。  new window
7.Lin, F. L.、Cooney, T. J.(2001)。Making sense of mathematics teacher education。  new window
8.Dewey, John(1933)。How We Think: A Restatement of the Relation of Reflective Thinking to the Educative Process。D. C. Heath and Company。  new window
9.Argyris, C.、Putnam, R.、Smith, D.(1985)。Action science。San Francisco:Jossey-Bass。  new window
10.沈翔、趙小平、康合太(2001)。用高中數學解日常生活的問題。用高中數學解日常生活的問題。臺北市。  延伸查詢new window
11.Dreyfus, T.(1990)。Advanced Mathematical Thinking。Mathematics and Cognition: A Research Synthesis by the International Group for the Psychology of Mathematics Education。Cambridge。  new window
12.English, C.(1999)。Modelling for the New Millennium。Rethinking the Mathematics Curriculum。London, UK。  new window
13.Frank, S.、Hartzler, J. S.(1991)。Mathematical Modeling in the Secondary School Curriculum: A Resource Guide of Classroom Exercises。Mathematical Modeling in the Secondary School Curriculum: A Resource Guide of Classroom Exercises。0。  new window
14.Garfunkel, S.、Godbold, L.、Pollack, H.、Bellman, A.(1998)。Mathematics: Modeling Our World。Mathematics: Modeling Our World。0。  new window
15.Henner, E. K.、Shestakov, A. P.(1997)。The Mathematical Modelling Course for Russia's Schools: Its Aims, Methods and Content。Teaching and Learning Mathematical Modelling。Chichester, UK。  new window
16.(1997)。Teaching and Learning Mathematical Modelling。Teaching and Learning Mathematical Modelling。Chichester, UK。  new window
17.Ikeda, T.(1997)。A Case Study of Instruction and Assessment in Mathematical Modeling - The Delivering Problem。Teaching and Learning Mathematical Modelling。Chichester, UK。  new window
18.Jaworski, B.(2001)。Developing Mathematics Teaching: Teacher, Teacher-educators and Researchers as Co-learners。Making Sense of Mathematics Teacher Education。0。  new window
19.Laborde, C.(2001)。The Use of New Technologies as a Vehicle for Restructuring Teachers' Mathematics。Making Sense of Mathematics Teacher Education。Netherlands。  new window
20.Lesh, R.、Cramer, K.、Doerr, H.、Post, T.、Zawojewski, J.(2003)。Using a Translation Model for Curriculum Development and Classroom Instruction。Beyond Constructivism. Models and Modeling Perspectives on Mathematics Problem Solving, Learning, and Teaching。Mahwah, NJ。  new window
21.Lin, F. L.、Tsao, L. C.(1999)。Exam Maths Re-examined。Rethinking the Mathematics Curriculum。London, UK。  new window
22.Tirosh, T.、Stavy, R.、Tsamir, P.(2001)。Using the Intuitive Rules Theory as a Basis for Educating Teachers。Making Sense of Mathematics Teacher Education。Dordrecht, Netherlands。  new window
其他
1.Niss, M.(2002)。Mathematical competencies and the learning of mathematics: The Danish KOM project,http://www7.nationalacademies.orgmseb/mathematicalcompetencies_and_the_leaming_of_mathematics.pdf, 2004/10/15。  new window
2.Organisation for Economic Co-operation and Development(2003)。PISA 2003 Assessment Framework: Mathematical Literacy,0。  new window
圖書論文
1.Cooney, T. J.(2001)。Considering the Paradoxes, Perils, and Purposes of Conceptualizing Teacher Development。Making Sense of Mathematics Teacher Education。London, UK:Kluwer Academic。  new window
 
 
 
 
第一頁 上一頁 下一頁 最後一頁 top
:::
無相關書籍
 
無相關著作
 
QR Code
QRCODE