南山中學 - 2010/12/8 資優數學講座
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南山中學 - 2010/12/8 資優數學講座. 【 數學之「教」與「學」 】 數學解題策略 : 以參與亞太小學數學奧林匹亞邀請賽為例 國立臺北教育大學數學暨資訊教育學系 張英傑 [email protected]. 數謎. 英文字母代表不同的印度 - 阿拉伯數字 1 ONE +1 +ONE 2 TWO. 建構數學 讓學生變笨? 數學能力 我全球第一. - PowerPoint PPT PresentationTRANSCRIPT
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- 2010/12/8
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*NTUE Department of Mathematics and Information EDucation(2010/12/08)
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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1 ONE +1 +ONE 2 TWO NTUE Department of Mathematics and Information EDucation(2010/12/08)*
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PISA2006
PISA2009?!
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PISA 3 HTTP://WWW.LIBERTYTIMES.COM.TW/2010/NEW/DEC/8/TODAY-LIFE7.HTM
NTUE Department of Mathematics and Information EDucation(2010/12/08)*
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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NTUE [email protected] FOR INTERNATIONAL STUDENT ASSESSMENT200020032006 2009
ORGANIZATION FOR ECONOMIC COOPERATION AND DEVELOPMENT (OECD) PISA
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NTUE Department of Mathematics and Information EDucation(2010/12/08)
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NTUE [email protected] AN INDIVIDUALS CAPACITY TO IDENTIFY AND UNDERSTAND THE ROLE THAT MATHEMATICS PLAYS IN THE WORLD, TO MAKE WELL-FOUNDED JUDGEMENTS AND TO USE AND ENGAGE WITH MATHEMATICS IN WAYS THAT MEET THE NEEDS OF THAT INDIVIDUALS LIFE AS A CONSTRUCTIVE, CONCERNED AND REFLECTIVE CITIZEN.
Mathematical Literacy*
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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NTUE [email protected] AN INDIVIDUALS CAPACITY TO USE SCIENTIFIC KNOWLEDGE, TO IDENTIFY QUESTIONS AND TO DRAW EVIDENCE-BASED CONCLUSIONS IN ORDER TO UNDERSTAND AND HELP MAKE DECISIONS ABOUT THE NATURAL WORLD AND THE CHANGES MADE TO IT THROUGH HUMAN ACTIVITY.
Scientific Literacy*
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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NTUE [email protected] INDIVIDUALS CAPACITY TO UNDERSTAND, USE AND REFLECT ON WRITTEN TEXTS, IN ORDER TO ACHIEVE ONES GOALS, TO DEVELOP ONES KNOWLEDGE AND POTENTIAL AND TO PARTICIPATE IN SOCIETY.Reading Literacy*
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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NTUE [email protected] INDIVIDUALS CAPACITY TO USE COGNITIVE PROCESSES TO CONFRONT AND RESOLVE REAL, CROSS-DISCIPLINARY SITUATIONS WHERE THE SOLUTION PATH IS NOT IMMEDIATELY OBVIOUS AND WHERE THE LITERACY DOMAINS OR CURRICULAR AREAS THAT MIGHT BE APPLICABLE ARE NOT WITHIN A SINGLE DOMAIN OF MATHEMATICS, SCIENCE OR READING.
Problem-solving Skills*
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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NTUE [email protected]*
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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NTUE [email protected](SIMSS)1990(TIMSS) THIRD INTERNATIONAL MATHEMATICS AND SCIENCE STUDY1999 (TIMSS-R) 4 (REPEAT)
TIMSS 2003 TREND INTERNATIONAL MATHEMATICS AND SCIENCE STUDY TIMSS 2007
International Association for the Evaluation of Educational AchievementIEA
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NTUE Department of Mathematics and Information EDucation(2010/12/08)
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NTUE [email protected]*
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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NTUE Department of Mathematics and Information EDucation(2010/12/08)*
(2010)< NTUppt>
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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,!!20101116
http://www.youtube.com/watch?v=FhSCF_OlY1k
*NTUE Department of Mathematics and Information EDucation(2010/12/08)
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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*NTUE Department of Mathematics and Information EDucation(2010/12/08)
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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*NTUE Department of Mathematics and Information EDucation(2010/12/08)
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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HTTP://WWW.LIBERTYTIMES.COM.TW/2010/NEW/DEC/7/TODAY-LIFE10.HTM
*NTUE Department of Mathematics and Information EDucation(2010/12/08)
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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12 32 2 *NTUE Department of Mathematics and Information EDucation(2010/12/08)
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*NTUE Department of Mathematics and Information EDucation(2010/12/08)
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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*NTUE Department of Mathematics and Information EDucation(2010/12/08)
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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*NTUE Department of Mathematics and Information EDucation(2010/12/08)
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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*NTUE Department of Mathematics and Information EDucation(2010/12/08)
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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*NTUE Department of Mathematics and Information EDucation(2010/12/08)
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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SEQUENCEFUNCTION)671,2,4, 8, 16, ?, ?,
x = 1,2,3,4,5 y = 1, 2, 4, 8, 16 (1) x =6, y = ? (2) x =7, y = ?
*NTUE Department of Mathematics and Information EDucation(2010/12/08)
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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(GENERALIZATION)223448(1) 66(2) 77(3) nn*NTUE Department of Mathematics and Information EDucation(2010/12/08)
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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(TOWER OF HANOI)
64()64(1)(2)
*NTUE Department of Mathematics and Information EDucation(2010/12/08)
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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Geroge Ploa How to solve it?
() WIN: What- If- Not*NTUE Department of Mathematics and Information EDucation(2010/12/08)
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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*http://www.naer.edu.tw/study/math/ana/index.htmhttp://content.edu.tw/primary/math/tp_pc/main.htm-http://mathseed.ntue.edu.tw/http://www.shes.hcc.edu.tw/~oddest/http://www.mathland.idv.tw/http://sctnet.edu.tw/index.phpHercules ttp://residence.educities.edu.tw/mario123/http://www.paps.kh.edu.tw/aspx/math_menu/math_source.aspx/
NTUE Department of Mathematics and Information EDucation(2010/12/08)
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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200996 95/12/15
--Benchmark 2010: Collaborative Inquiry and Co-create Quality Elementary Mathematics and Science Teacher Education Program
*NTUE Department of Mathematics and Information EDucation(2010/12/08)
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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2009
3 444////:////:////:////
*NTUE Department of Mathematics and Information EDucation(2010/12/08)
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EX1-5: 2009
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*NTUE Department of Mathematics and Information EDucation(2010/12/08)
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Test1-3:
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*NTUE Department of Mathematics and Information EDucation(2010/12/08)
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*NTUE Department of Mathematics and Information EDucation(2010/12/08)
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*NTUE Department of Mathematics and Information EDucation(2010/12/08)
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EX2-6: 12244812.........
*NTUE Department of Mathematics and Information EDucation(2010/12/08)
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*NTUE Department of Mathematics and Information EDucation(2010/12/08)
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Test1-4: 25
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*NTUE Department of Mathematics and Information EDucation(2010/12/08)
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*NTUE Department of Mathematics and Information EDucation(2010/12/08)
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*NTUE Department of Mathematics and Information EDucation(2010/12/08)
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*NTUE Department of Mathematics and Information EDucation(2010/12/08)
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EX2-3:
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*NTUE Department of Mathematics and Information EDucation(2010/12/08)
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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*NTUE Department of Mathematics and Information EDucation(2010/12/08)
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Ex1-1: ?
*NTUE Department of Mathematics and Information EDucation(2010/12/08)
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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*NTUE Department of Mathematics and Information EDucation(2010/12/08)
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EX1-2: 199111
*NTUE Department of Mathematics and Information EDucation(2010/12/08)
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() *NTUE Department of Mathematics and Information EDucation(2010/12/08)
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*NTUE Department of Mathematics and Information EDucation(2010/12/08)
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1.2.3.4.5.6.7.8.
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9.10.11.12.13.14.15.
*NTUE Department of Mathematics and Information EDucation(2010/12/08)
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http://model.math.scu.edu.tw/ (2010 March
*NTUE Department of Mathematics and Information EDucation(2010/12/08)
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*NTUE Department of Mathematics and Information EDucation(2010/12/08)
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NTUE Department of Mathematics and Information EDucation(2010/12/08)*
Question:?
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NTUE Department of Mathematics and Information EDucation(2010/12/08)*
http://mag.udn.com/mag/campus/storypage.jsp?f_ART_ID=21240
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NTUE Department of Mathematics and Information EDucation(2010/12/08)*:Formosahttp://www.nownews.com/2007/11/15/515-1768980.htm
?? !!
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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NTUE Department of Mathematics and Information EDucation(2010/12/08)*1x1x1x1 = ?
11
1
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NTUE Department of Mathematics and Information EDucation(2010/12/08)* 1.1x1.1x1.1x1.1 = ?
1.11.1
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NTUE Department of Mathematics and Information EDucation(2010/12/08)
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NTUE Department of Mathematics and Information EDucation(2010/12/08)*1.11.12.591.1x1.1= 1.211.1x1.1x1.1 = 1.3311.1x1.1x1.1x1.1 = 1.46411.1x1.1x1.1x1.1x1.1 = 1.610511.1x1.1x1.1x1.1x1.1 x1.1 = 1.7715611.1x1.1x1.1x1.1 x1.1x1.1x1.1 = 1.94871711.1x1.1x1.1x1.1 x1.1x1.1x1.1x1.1 = 2.1435866 1.1x1.1x1.1x1.1 x1.1x1.1x1.1x1.1x1.1 = 2.35794761.1x1.1x1.1x1.1 x 1.1x1.1x1.1x1.1x1.1 x1.1 = 2.5937423
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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NTUE Department of Mathematics and Information EDucation(2010/12/08)* 0.9x0.9x0.9x0.9 = ?
0.90.9
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NTUE Department of Mathematics and Information EDucation(2010/12/08)
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NTUE Department of Mathematics and Information EDucation(2010/12/08)*0.90.90.35 0.9x0.9 = 0.810.9x0.9x0.9 = 0.7290.9x0.9x0.9x0.9 = 0.65610.9x0.9x0.9x0.9x0.9 = 0.590490.9x0.9x0.9x0.9x0.9x0.9 = 0.5314410.9x0.9x0.9x0.9x0.9x0.9x0.9= 0.47829690.9x0.9x0.9x0.9 x0.9x0.9x0.9x0.9= 0.43046720.9x0.9x0.9x0.9x0.9x0.9x0.9x0.9x0.9 = 0.38742040.9x0.9x0.9x0.9 x0.9x0.9x0.9x0.9x0.9x0.9= 0.3486783
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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NTUE Department of Mathematics and Information EDucation(2010/12/08)*: ? 1.11.12.59
0.90.90.35
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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NTUE Department of Mathematics and Information EDucation(2010/12/08)*:
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NTUE Department of Mathematics and Information EDucation(2010/12/08)
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NTUE Department of Mathematics and Information EDucation(2010/12/08)*: 3CCompetence Cooperation Confidence
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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NTUE Department of Mathematics and Information EDucation(2010/12/08)*ATTITUDE: WAY OF THINKING OR BEHAVING
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NTUE Department of Mathematics and Information EDucation(2010/12/08)
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NTUE Department of Mathematics and Information EDucation(2010/12/08)*
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Putting Together!
Making Difference!
Showing Significance!
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NTUE Department of Mathematics and Information EDucation(2010/12/08)
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NTUE Department of Mathematics and Information EDucation(2010/12/08)*() M.(Mathematics)A.(Art)T.(Test)H.(Head)
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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NTUE Department of Mathematics and Information EDucation(2010/12/08)* (JANE GOODALL)Only if we can understand can we care.Only if we care will we help.Only if we help shall we be saved.
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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NTUE Department of Mathematics and Information EDucation(2010/12/08)* Just do it >>>
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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NTUE Department of Mathematics and Information EDucation(2010/12/08)*Ing-Jye Chang*
NTUE Department of Mathematics and Information EDucation(2010/12/08)
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*NTUE Department of Mathematics and Information EDucation(2010/12/08)
NTUE Department of Mathematics and Information EDucation(2010/12/08)