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PISA 數學素養的評量設計與 台灣學生的表現 PowerPoint PPT Presentation


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PISA 數學素養的評量設計與 台灣學生的表現. 國立臺南大學 測驗統計研究所 林素微 [email protected] PISA.

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PISA 數學素養的評量設計與 台灣學生的表現

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PISA

[email protected]


PISA

  • The Programme for International Student Assessment (PISA) is a triennial world-wide test of 15-year-old schoolchildren's scholastic performance, the implementation of which is coordinated by the Organisation for Economic Co-operation and Development (OECD). PISA was first mooted in 1997.


What is the OECD?

  • 30

  • -

  • -

  • -

  • -


OECD Member Countries


Comparison with TIMSS and PIRLS

  • Trends in International Mathematics and Science Study (TIMSS)

  • Progress in International Reading Literacy Study ( PIRLS )


PISA

  • 15



PISA

  • 200043200341200656PISA 200967

  • 800~1,200

  • 4,500~10,000


PISA

  • 20002015

  • 2000 () 2003 () 2006 () 2009


.PISA


.PISA

  • (mathematising)

    1.

    2.

    3.(trimming away the reality)

    4.

    5.


  • M537

  • = 220 -

  • = 208 - ( 0.7 )


  • NubenKado


  • ZoeAngazKadoLapat300km

  • ZoeKadoLapatZoe


(Situations)

(CONTEXT)

(Overarching ideas)

(CONTENT)

(PROBLEM)

(SOLUTION)

(Problem format)

(Process)

(COMPETENCY CLUSTER)

(Competencies)

.


.

  • PISA


  • 10004%3%10


  • 35


.(overarching ideas)

  • OECD/PISA

    1.

    2.

    3.

    4.




  • A3750.5B2500.75C2003502001.02

  • 1

    400600


  • 60000

    60000


  • ()


  • 1

    (predator)(prey)predatorprey

    Prey-predatorpredatorprey


  • Karl Friedrich Gauss(1777-1855)1100Gauss


  • 1+2+3+.+98+99+100

  • 100+99+98++3+2+1

  • 101+101+.+101+101

  • 100101101100

  • 5050


  • 100

  • 1221201400

  • ()98


  • Carl50Zedland5%5%Carl5%


  • 40%6030


  • Zedland197034200198030500199031200197013500198013850199015777

  • Zedland


  • Zedland

  • 100 000


  • 1

  • 1960100 000



  • 2


(Real world)

(Mathematical world)

Mathematical solutions

Real solutions

5

5

4

Mathematical problem

Real-world problem

1,2,3

.

  • ()mathematisation


  • ()(the competencies)

  • mathematisationPISA(competencies)

  • Thinking and Reasoning

  • Argumentation

  • Communication

  • Modelling


5.Problem posing and solving

6.Representation,

7.Using symbolic, formal and technical language and operations

8.Use of aids and tools


.(competency clusters)

1.(reproduction)

2.(connection)

3.(reflection)


(1)reproduction cluster


  • 7x-3=13x+15

  • 7,12,8,14,15,9

  • 10004%


  • M432:


  • 2

    2000Zedlandzeds

    (A) 1.8 zeds

    (B) 2.3 zeds

    (C) 2.4 zeds

    (D) 3.4 zeds

    (E) 3.8 zeds


(2)connection cluster


  • 25


  • zeds

A

58-95

475zeds

100-120

800zeds

B

35-260

90zeds

  • 110AB


  • 30304040

  • 1


(3)reflection cluster

  • ( reflectiveness)()


  • 1

    A. 2

    B. 3

    C. 5

    D. 12


.

  • ()

  • 1.PISA

  • PISA1515


  • 2.

  • PISA


Martin8

3

  • A.

    B.

    C.

    D.


  • 1:

  • ABCD

    ABCD =


  • ()

  • (reproduction, connections and reflection)121


2006

  • 2005 Field Trail

    • 2005/03/15 ~ 2005/04/15

  • 2006 Main Study

    • 2006/04/15 ~ 2006/05/15


Sampling (Main Study)


  • 2

  • 20-30

  • 20


  • 13 (booklet)

  • 4(cluster)

  • (cluster) 6-9

  • 48

  • http://pisa-sq.acer.edu.au/


Test Booklet Design PISA 2006 MS


  • 13

    • 12 13 1 2

  • 40

    • 3 (40/13)

  • 236

    • 8815(318691)

    • 678 (8815/13)




31.924.427.727.1


54.352.553.252.6


11.95.99.58.8


(OECD)




(%)



  • (549)(311)238


  • 103(106)(105)

  • 595373707334





PISA:


PISA 2000 PISA 2003




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