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building thinking classrooms building thinking classrooms

building thinking classrooms - PowerPoint Presentation

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building thinking classrooms - PPT Presentation

Peter Liljedahl Students are not thinking Teachers are planning their teaching on the assumption that students either cannot or will not think begin with good problems use vertical nonpermanent surfaces ID: 644563

vertical sec min permanent sec vertical permanent min horizontal perm groups eagerness discussion time task notation students notebook 9persistence2

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Presentation Transcript

Slide1

building thinking classrooms

Peter LiljedahlSlide2
Slide3

Students are not

thinking!

Teachers are planning

their teaching

on the assumption that students either cannot or will not think. Slide4

begin with good problems

use vertical non-permanent surfaces

form visibly random groupsSlide5

VERTICAL NON-PERMANENT

SURFACESSlide6

PROXIES FOR ENGAGEMENTtime to task

time to first mathematical notation

amount of discussion

eagerness to start

participation

persistence

knowledge mobility

non-linearity of work

0 - 3Slide7

vertical

non-perm

horizontal

non-perm

vertical permanent

horizontal permanent

notebook

N (groups)

10

10

9

9

8

time

to task

12.8 sec

13.2 sec

12.1 sec

14.1 sec

13.0 sec

first notation

20

.3 sec

23.5

sec

2.4 min

2.1 min

18.2

sec

discussion

2.8

2.2

1.5

1.1

0.6

eagerness

3.0

2.3

1.2

1.0

0.9

participation

2.8

2.3

1.8

1.6

0.9

persistence

2.6

2.6

1.8

1.9

1.9

mobility

2.5

1.2

2.0

1.3

1.2

non-linearity

2.7

2.9

1.0

1.1

0.8Slide8

vertical

non-perm

horizontal

non-perm

vertical permanent

horizontal permanent

notebook

N (groups)

10

10

9

9

8

time

to task

12.8 sec

13.2 sec

12.1 sec

14.1 sec

13.0 sec

first notation

20

.3 sec

23.5

sec

2.4 min

2.1 min

18.2

sec

discussion

2.8

2.2

1.5

1.1

0.6

eagerness

3.0

2.31.21.00.9participation2.82.31.81.60.9persistence2.62.61.81.91.9mobility2.51.22.01.31.2non-linearity2.72.91.01.10.8Slide9

vertical

non-perm

horizontal

non-perm

vertical permanent

horizontal permanent

notebook

N (groups)

10

10

9

9

8

time

to task

12.8 sec

13.2 sec

12.1 sec

14.1 sec

13.0 sec

first notation

20

.3 sec

23.5

sec

2.4 min

2.1 min

18.2

sec

discussion

2.8

2.2

1.5

1.1

0.6

eagerness

3.0

2.31.21.00.9participation2.82.31.81.60.9persistence2.62.61.81.91.9mobility2.51.22.01.31.2non-linearity2.72.91.01.10.8Slide10

vertical

non-perm

horizontal

non-perm

vertical permanent

horizontal permanent

notebook

N (groups)

10

10

9

9

8

time

to task

12.8 sec

13.2 sec

12.1 sec

14.1 sec

13.0 sec

first notation

20

.3 sec

23.5

sec

2.4 min

2.1 min

18.2

sec

discussion

2.8

2.2

1.5

1.1

0.6

eagerness

3.0

2.31.21.00.9participation2.82.31.81.60.9persistence2.62.61.81.91.9mobility2.51.22.01.31.2non-linearity2.72.91.01.10.8

#VNPSSlide11
Slide12
Slide13

VISIBLY RANDOM

GROUPSSlide14

students become agreeable to work in any group they are placed in

there is an elimination of social barriers within the classroom

mobility of knowledge between students increases

reliance on co-constructed intra- and inter-group answers increases

reliance on the teacher for answers decreases

engagement in classroom tasks increase

students become more enthusiastic about mathematics classSlide15
Slide16
Slide17

THANK YOU!

liljedahl@sfu.ca

www.peterliljedahl.com/presentations

@

pgliljedahl

| #

vnps

| #thinkingclassroomGlobal Math Department