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Mathematical thinking in school

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SECONDARY SCHOOL

Jo rma Jo uts e nlahti

De partme nt o f Te ac he r Educ atio n Unive rsity o f Tampe re

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• Intro duc tio n

• The o re tic al frame wo rk

• Aim and pe rspe c tive s

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Finland and Korea, and the

partners Chinese Taipei and Hong Kong-China, outperformed all

other countries/economies in PISA 2006.

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• Intro duc tio n

• The o re tic al frame wo rk

• Aim and pe rspe c tive s

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THEORETICAL FRAM EWORK 1 / 4

[1 ]

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THEORETICAL

FRAM EWORK 4 / 4 Anthro po lo gic al

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• Intro duc tio n

• The o re tic al frame wo rk

• Aim and pe rspe c tive s

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AIM OF THE STUDY

The main pro ble m in the s tudy is to de s c ribe

fe ature s o f the s tude nt's mathe matic al thinking

The s ub pro ble ms c o ns ide r what kinds o f diffe re nc e s exis t in the mathe matic al

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Three perspectives

Que s tio nary

Inte rvie wsTe st analysis

Bac kro und knowle dge

Ite m analys is

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Societal

GRADE AT THE END OF UPPER-SECONDARY SCHOOL

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• Intro duc tio n

• The o re tic al frame wo rk

• Aim and pe rspe c tive s

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I

GRADE AT THE END OF UPPER-SECONDARY SCHOOL

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R2

R3

R1

R4

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R1 ''SUCCESSFUL STUDENTS''

Five fe ature s o f the ir mathe matic al pro fic ie nc y are we ll de ve lo pe d.

appre c iate mathe matic s as an impo rtant and ple as e nt s ubje c t.

have pe rs e ve ranc e to s truggle with c o mplex mathe matic al pro ble ms .

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The y had diffic ultie s in mathe matic s c o urs e s , but the y s tudie d hard and the ir mathe matic al pro fic ie nc y de ve lo pe d jus t be fo re matric ulatio n e xaminatio n. (e s pe c ially pro c e dural flue nc y)

The y have pe rse ve ranc e to struggle with c o mple x mathe matic s pro ble ms .

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R3 ''´ JUST DOING´ STUDENTS''

c o nc e ntrate d o n pro c e dural flue nc y.

fe lt that the re was to o fast te mpo in

mathe matic s le sso ns and the re fo re the y didn’ t unde rs tand ne w c o nc e pts de e ply.

s e lf-c o nfide nc e in mathe matic s was we ak

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Mo s t s tude nts ín the ”lo s e rs ” – gro up c ho ic e d mathe matic s as an o ptio nal te st and the y had c o nc e ntrate d o n c o mpulso ry te sts (c alc ulatio n: o ptimize re s ult, minimize wo rk)

quite go o d base (grade 6 o r 7 ) in mathe matic s to de ve lo pe the ir mathe matic al pro fic ie nc y if the y just had studie d mo re syste matic ally

se lf-c o nfide nc e in mathe matic s was we ak

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R4 ''DISAPPOINTED STUDENTS''

matric ulatio n examinatio n)

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