National Professional Teacher Team 台台台台台台台台台台 台台台台台台 台台台台台台台台台台 台台台台台台 台台台台台台台台台台台台台台台台 台台台台台台台台台台台台台台台台 台台台台台台 台台台台台台 台台台 台台台 PISA PISA 台台台台台台 台台台台台台 台台台台台台台台台 台台台台台台台 、 台台台台台台台台台 台台台台台台台 、
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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