National Professional Teacher Team PISA

2011/2/17*(Mathematical Literacy)

PISA()200616412009231252012

PISA *

PISA 2000 PISA 2003PISA 2006 PISA 2009

1. (557)1. (550) 1. (549)1.(600)2. (547)2. (544))2. (548)2.(562)3. (537)3. (542)3. (547)3.(555)4. (536)4. (538)3. (547)4.(546)5. (533)5. (536)5. (531)5.(543)5. (533)6. (534)6. (530)6.(541)7. (529)7. (533)7. (527)7.(536)7. (529)8. (529)8. (525)8.(534)9. (520)9. (527)8. (525)9.(529)10. (517)9. (527)10 (523)10.(527)

2011/2/17*

Carl50Zedland5%5%Carl5%

1 2 1 7 7 (Nash, J.F.1951 Shapley L.S.)

2 1 7/2 2 2 14/3 7/3 3() 7214 4 4 3

3 4 5

4

OECDPISA

NRC (Conceptual understanding) (Procedural fluency) (Strategic competence) (Adaptive reasoning) (Productive disposition)

PISAPISA

PISA *PISA ?

PISA ?

PISA PISA2000PISA *2000 - 2003 - 2006 - 2009 - 2012 - 2015

PISA (Mathematical content knowledge) (Mathematical processes and the underlying mathematical capabilities) (Contexts)

(Mathematical content Knowledge)(Change and relationships)(Space and shape)(Quantity)Uncertainty

PISA (Mathematical content knowledge) (Mathematical processes and the underlying mathematical capabilities) (Contexts)

(Formulating situations mathematically) (Employing mathematical concepts, facts, procedures and reasoning) (Interpreting, applying, and evaluating mathematical outcomes)

PISA (Mathematical content knowledge) (Mathematical processes and the underlying mathematical capabilities) (Contexts)

(Communication) (Mathematising) (Representation) (Reasoning and argument) (Devising strategies) (Using symbolic, formal, and technical language and operations) (Using mathematical tools)

1.

2.

3.

4.

5.

6.

7. Excel

PISA (Mathematical content knowledge) (Mathematical processes and the underlying mathematical capabilities) (Contexts)

(Personal)/ (Occupational) (Societal) (Scientific)PISA15

*

PISA)

123456789101112131415161718192410142086641002242222456323124019060245327

8.5

8.5

Change and relationshipSpace and shape QuantityUncertainty1. C1S1Q1U12./C2S2Q2U23.C3S3Q3U34.C4S4Q4U4

(

(F) (E) (I)

1.F1E1I12.F2E2I23.F3E3I34.F4E4I45.F5E5I56.F6E6I67.F7E7I7

()() X X

* (669)

PISA

PISA

*

PISA http://pisa.nutn.edu.tw PISA

PISA http://pisa.nutn.edu.tw/sample_era_tw.htm

2011 &

*~

.PISA

.PISA(mathematising) 1.2.3.(trimming away the reality)4.5.

M037 (1/4)

M037 (2/4)

M037 (3/4)

M037 (4/4)

M047 (1/6)

M047 (2/6)

M047 (3/6)

M047 (4/6)

M047 (5/6)

M047 (6/6)

*

xy

*

Why ? Find out CHECK ?PISA 2000PISA 2003

M148Q02 M159Q01 M159Q04 M179Q01 0.190.670.280.26 (0.30)0.180.570.410.33

M148 (1/4)

M148 (2/4)

M148 (3/4)

M148 (4/4)

-1 1

-22 2 1

14400km2(5+2)/2+(5+2)/2+2*2*400=5000

PISA

1501000.7200

PISA

M159 (1/4)

M159 (2/4)

(17.6%A)(12.7%C )(1.5km~2.3km)

M159 (3/4)

M159 (4/4)

8

(17.6% E) (19.5% A) () () (B D)

M179 (1/4)

1010 508 515 199719981999 2%

M179 (2/4)

M179 (3/4)

M179 (4/4)

!19991998

PISA(xy) ()

1 M505Q01 - 0 1 9

13 13 0.5 2025 100

100.05 1-320-25

*

22/7

PISA

*

M509 (1/2)

M509 (2/2)

M552

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