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Section II B:

Summary table of dates and contexts for each kind of reasoning
 listed in the (revised) model

 

Reasoning by Analogy  

Date

Activity

Time

Line

Need

Student

Jan. 11/99

Set

3:25

2.8

EWP

Cynthia

Jan. 13/99

Set

3:19

0.2

EHT

Seren

Jan. 13/99

Set

3:50

25.6-25.9

EWN

Joline

Jan. 25/99

Doorbell Rang

12:41

9.3

EWT

Alison

Jan. 25/99

Doorbell Rang

12:48

11.4

EWX

Alison

Jan.27/99

Doorbell Rang

12:32

4.8

EWX

Jocelyn

Mar. 10/99

Growing patterns

3:45

6.2

EWT

Seth

Mar. 23/99

Paper Folding

3:33

8.4

EWT

Maurice

Mar. 29/99

Geoboards

3:25

1.7-1.8

EWT

Ira

 

 

 

 

 

 

 

Reasoning by Induction

 

Date

Activity

Time

Line

Need

Student

Jan. 11/99

Set

3:54

26.1-26.12

EHT

David, Seth, Jerome

Jan. 13/99

Set

3:50

25.6-25.9

 

Joline

Jan. 20/99

Connect 4

3:49

8.17-8.19

 

Seren, Veronica

Jan. 20/99

Connect 4

3:53

10.4-10.10

 

Jocelyn and Seren

Jan. 22/99

Connect 4

3:37

7.2

EWT

Maurice

Jan. 22/99

Connect 4

3:45

11.5

EHT

Saul

Jan. 22/99

Connect 4

4:00

21.1

EWT

Maurice

Jan. 25/99

Doorbell Rang

12:22

3.3

EWX

David

Jan. 27/99

Doorbell Rang

12:29

3.8

EWX

Preston

Jan. 27/99

Doorbell Rang

12:32

4.8

EWX

Jocelyn

Jan. 27/99

Doorbell Rang

12:37

6.4-6.6

 

Preston

Jan. 28/99

Doorbell Rang

3:54

16.3

EHT

Saul

Jan. 28/99

Doorbell Rang

3:54

16.6

EHN

Maurice

Feb. 11/99

Connect 4 Comp.

3:15

3.3

 

Preston

Feb. 11/99

Connect 4 Comp.

3:37

8.4

 

Jocelyn

Feb. 18/99

Literature

3:29

1.6

EWT

Alison

Feb. 18/99

Literature

3:30

1.8

EWT

Jared

Feb. 18/99

Literature

3:32

2.2

EHT

David

Feb. 18/99

Literature

3:32

2.4

EHT

Seren

Feb. 18/99

Literature

3:35

3.4

EHT

Seren

Feb. 18/99

Literature

3:45

6.1

EWT

Leonard

Feb. 18/99

Literature

3:45

7.1

EWT

Seren

Feb. 18/99

Literature

3:46

8.1

EHT

Maurice

Feb. 18/99

Literature

3:48

9.2

EWT

Leonard

Feb. 22/99

Base 10 Blocks

3:51

10.1-10.5

EHT

Leonard

Feb. 22/99

Base 10 Blocks

3:56

11.4-11.8

EWT

Leonard

Feb. 24/99

Base 10 Blocks

3:37

5.2-5.11

EWT

Preston

The Psychology of Students' Reasoning in School Mathematics
David A Reid
Page II-B-1

To Beginning of Section | To End of Section


Feb. 24/99

Base 10 Blocks

3:40

7.2

EWT

Preston

Feb. 24/99

Base 10 Blocks

3:58

12.1-12.5

EWT

Seren

Mar. 4/99

Mastermind

3:18

1.11

EWT

Cynthia

Mar. 8/99

Growing Patterns

3:40

3.3-3.9

EHT

Jared, Ira

Mar. 8/99

Growing Patterns

3:35

4.3

EHT

Veronica

Mar. 8/99

Growing Patterns

3:57

7.5

EWT

Leonard

Mar. 8/99

Growing Patterns

3:58

7.7

 

Leonard

Mar. 8/99

Growing Patterns

3:49

8.3

EHT

Ira

Mar. 8/99

Growing Patterns

4:00

8.5-8.7

 

Ira

Mar. 10/99

Growing Patterns

-

1.131.15

EWT

Seren

Mar. 10/99

Growing Patterns

3:43

4.4-4.5

 

Shelley

Mar. 10/99

Growing Patterns

3:45

6.2

EWT

Seth

Mar. 10/99

Growing Patterns

3:47

8.3

EHT

Seren

Mar. 10/99

Growing Patterns

-

10.4

 

Shelley

Mar. 23/99

Paper Folding

3:24

3.2

EWT

David

Mar. 23/99

Paper Folding

3:28

6.4

EWT

David

Mar. 23/99

Paper Folding

3:29

7.3

EWT

David

Mar. 23/99

Paper Folding

3:40

10.2-10.5

EWT

David

Mar. 23/99

Paper Folding

3:45

11.7

EWT

Alison

Mar. 23/99

Paper Folding

3:56

17.3

EWT

Seren

Mar. 25/99 (a)

Paper Folding

-

1.20-1.21

EWT

Ira

Mar. 25/99 (a)

Paper Folding

-

4.2

EWP

Preston

Mar. 25/99 (a)

Paper Folding

-

4.20

EWT

Preston

Mar. 25/99 (v)

Paper Folding

3:21

1.8-1.10

EWT

Leonard

Mar. 25/99 (v)

Paper Folding

3:24

1.15

EWT

Leonard

Mar. 25/99 (v)

Paper Folding

3:24

1.16

EWT

Leonard

Mar. 25/99 (v)

Paper Folding

3:24

1.18-1.19

 

Leonard

Mar. 25/99 (v)

Paper Folding

3:38

3.9

EWT

Veronica

Mar. 25/99 (v)

Paper Folding

3:46

5.2

EWT

Jared

Mar. 26/99

Geoboards

3:36

4.2

EWT

David

Reasoning by Multi-Step Deductions  

Date

Activity

Time

Line

Need

Student

Jan. 11/99

Set

3:31

9.13

 

Jared

Jan. 11/99

Set

3:32

10.4-10.8

EWX

Alison

Jan. 11/99

Set

4:00

32.7

EWT

Alison

Jan. 13/99

Set

3:27

6.3

EWX

Preston

Jan. 13/99

Set

3:30

9.2

EWT

Preston

Jan. 13/99

Set

3:30

10.1-10.3

EHT

Preston, Leonard

Jan. 18/99

Connect 4

3:39

5.7

EWT

Cynthia

Jan. 18/99

Connect 4

3:39

5.15

EHN

David

Jan. 22/99

Connect 4

3:58

17.3

EWS

Maurice

Jan. 22/99

Connect 4

3:59

18.1

EWSW

Maurice

Jan. 25/99

Doorbell Rang

12:22

2.3-2.5

EWT

Alison

Jan. 25/99

Doorbell Rang

12:29

6.5

EWT

Alison

Jan. 25/99

Doorbell Rang

12:43

9.5

EWT

Seth

Jan. 25/99

Doorbell Rang

12:44

10.3-10.4

EHT

David

Jan. 25/99

Doorbell Rang

12:51

12.2

EHT

David

Jan. 27/99

Doorbell Rang

12:22

1.8

EWT

Jocelyn

The Psychology of Students' Reasoning in School Mathematics
David A Reid
Page II-B-2

To Beginning of Section | To End of Section


Jan. 27/99

Doorbell Rang

12:24

2.3

EWT

Jocelyn

Jan. 27/99

Doorbell Rang

12:26

2.9

EHT

Preston

Jan. 27/99

Doorbell Rang

12:28

2.11

EWT

Joline

Jan. 27/99

Doorbell Rang

12:28

2.13

EHT

Joline

Jan. 27/99

Doorbell Rang

12:29

3.5

EWX

Preston

Jan. 27/99

Doorbell Rang

12:32

4.10

EWX

Preston

Jan. 27/99

Doorbell Rang

12:52

9.3-9.5

EHT

Joline

Jan. 27/99

Doorbell Rang

12:55

11.13

 

Preston

Jan. 28/99

Doorbell Rang

3:20

2.2

EWS

Saul

Jan. 28/99

Doorbell Rang

3:21

2.6

EWT

Saul

Jan. 28/99

Doorbell Rang

3:30

8.8

EWT

Saul

Jan. 28/99

Doorbell Rang

3:30

8.9

EHN

Laura

Jan. 28/99

Doorbell Rang

3:39

11.3

EHN

Maurice

Jan. 28/99

Doorbell Rang

3:44

12.6

EHN

Ira

Jan. 28/99

Doorbell Rang

3:49

13.4

EWT

Saul

Jan. 28/99

Doorbell Rang

3:52

14.2

EWT

Saul

Jan. 28/99

Doorbell Rang

3:55

17.4-17.9

EWT

Saul

Feb. 3/99

Mastermind

3:30

1.10

EWT

Kyla

Feb. 3/99

Mastermind

3:36

2.5-2.10

EWT

Kyla

Feb. 8/99

Connect 4 Comp.

3:52

12.3

 

Cynthia

Feb. 8/99

Connect 4 Comp.

3:52

12.4

 

Cynthia

Feb. 8/99

Connect 4 Comp.

3:58

13.5

 

Cynthia

Feb. 10/99

Connect 4 Comp.

3:31

7.3

 

Maurice

Feb. 11/99

Connect 4 Comp.

3:15

3.7

 

Preston

Feb. 18/99

Literature

3:35

2.8

EWT

Alison

Feb. 18/99

Literature

3:37

3.6

EHT

Maurice

Feb. 18/99

Literature

3:37

3.7

EHT

Preston

Feb. 18/99

Literature

3:37

3.11

EHT

Alison

Feb. 18/99

Literature

3:39

5.1

EHT

Alison

Mar. 2/99

Mastermind

12:22

1.20-1.23

EWT

Jerome

Mar. 2/99

Mastermind

12:23

1.27

EWT

Jerome

Mar. 2/99

Mastermind

12:25

1.34

EWT

Jerome

Mar. 2/99

Mastermind

12:26

2.4

EWT

Jerome

Mar. 2/99

Mastermind

12:26

2.6

EWT

Jerome

Mar. 2/99

Mastermind

12:28

2.10

EWT

Jerome

Mar. 2/99

Mastermind

12:29

2.13-2.17

EWT

Jerome

Mar. 2/99

Mastermind

12:30

2.20

EWT

Jerome

Mar. 2/99

Mastermind

12:31

3.8

EWT

Jerome

Mar. 2/99

Mastermind

12:32

3.10

EWT

Jerome

Mar. 2/99

Mastermind

12:33

3.12-3.17

EWT

Jerome

Mar. 2/99

Mastermind

12:34

3.21-3.37

EWT

Jerome

Mar. 4/99

Mastermind

3:35

3.18

EWT

Kyla

Mar. 4/99

Mastermind

3:38

3.30

EWX

Kyla

Mar. 4/99

Mastermind

3:44

4.17

EWT

Ira

Mar. 4/99

Mastermind

3:50

5.4

EWT

Jared

Mar. 4/99

Mastermind

3:56

5.12-5.17

EWT

Jared

The Psychology of Students' Reasoning in School Mathematics
David A Reid
Page II-B-3

To Beginning of Section | To End of Section


Reasoning by Simple Deduction  

Date

Activity

Time

Line

Need

Student

Jan. 11/99

Set

3:26

3.3

EWT

Alison

Jan. 11/99

Set

3:26

3.13

EWT

Alison

Jan. 11/99

Set

3:27

4.3-4.9

EWT

Jared, Alison, Cynthia

Jan. 11/99

Set

3:28

5.1

EWT

Alison

Jan. 11/99

Set

3:28

5.6

EWT

Alison

Jan. 11/99

Set

3:28

6.2

EWX

Alison

Jan. 11/99

Set

3:28

6.4-6.13

EWT

Jared, Alison, Cynthia

Jan. 11/99

Set

3:29

7.8

EWT

Cynthia

Jan. 11/99

Set

3:30

8.2

EWT

Alison

Jan. 11/99

Set

3:31

9.5

 

Jared

Jan. 11/99

Set

3:31

9.6/9.7

EWX

Alison

Jan. 11/99

Set

3:32

10.11

EWX

Alison

Jan. 11/99

Set

3:32

10.2

EWX

Alison

Jan. 11/99

Set

3:36

11.14

EWT

Jared

Jan. 11/99

Set

3:36

11.16

EWT

Alison

Jan. 11/99

Set

3:35

11.7

EWX

Alison

Jan. 11/99

Set

3:36

12.2-12.9

EWT

Jared, Alison, Cynthia

Jan. 11/99

Set

3:43

14.9

EWT

Seth

Jan. 11/99

Set

3:44

15.20

EWT

David

Jan. 11/99

Set

3:46

16.12

EWT

David

Jan. 11/99

Set

3:46

16.7

EWT

Seth

Jan. 11/99

Set

3:47

17.1-17.3

EWT

Seth

Jan. 11/99

Set

3:48

18.12-18.14

EWT

Seth and David

Jan. 11/99

Set

3:47

18.4

EWX

Seth

Jan. 11/99

Set

3:49

19.3

EWT

Jerome

Jan. 11/99

Set

3:49

20.3

EWT

David

Jan. 11/99

Set

3:50

21.5

EWX

Seth

Jan. 11/99

Set

3:51

22.7

EWT

Jerome

Jan. 11/99

Set

3:51

23.4

EWT

Jerome

Jan. 11/99

Set

3:52

24.5

EWX

Seth

Jan. 11/99

Set

3:52

25.2

EWX

Jerome

Jan. 11/99

Set

3:55

27.4

EWT

Jerome

Jan. 11/99

Set

3:57

28.6

EWT

Jerome

Jan. 11/99

Set

3:57

29.2

EWT

Seth

Jan. 11/99

Set

3:57

29.6

EWT

Seth

Jan. 11/99

Set

3:59

32.3

EWX

Alison

Jan. 13/99

Set

3:23

1.2-1.5

EHT

Preston, Leonard

Jan. 13/99

Set

3:25

4.5

EWT

Leonard

Jan. 13/99

Set

3:28

7.1-7.5

EWT

Seren

Jan. 13/99

Set

3:29

8.5-8.10

EWX

Preston, Leonard

Jan. 13/99

Set

3:30

9.1

 

Leonard

Jan. 13/99

Set

3:31

11.2

 

Preston

Jan. 13/99

Set

3:31

11.3

EWX

Leonard

Jan. 13/99

Set

3:31

12.2

EWX

Leonard

Jan. 13/99

Set

3:33

13.12

 

Preston

Jan. 13/99

Set

3:33

13.13

EWX

Leonard

Jan. 13/99

Set

3:33

13.4-13.6

EWX

Leonard, Preston

Jan. 13/99

Set

3:34

14.12

EWT

Preston

The Psychology of Students' Reasoning in School Mathematics
David A Reid
Page II-B-4

To Beginning of Section | To End of Section


Jan. 13/99

Set

3:34

14.2

 

Preston

Jan. 13/99

Set

3:34

14.3

 

Seren

Jan. 13/99

Set

3:36

15.3-15.7

EWT

Leonard, Seren

Jan. 13/99

Set

3:38

17.1

EWX

Preston

Jan. 13/99

Set

3:38

18.19-18.20

EWX

Preston, Leonard

Jan. 13/99

Set

3:38

18.2

EWT

Leonard

Jan. 13/99

Set

3:38

18.34

EWT

Leonard

Jan. 13/99

Set

3:38

19.13

EWT

Leonard

Jan. 13/99

Set

3:38

19.3

EWX

Leonard

Jan. 13/99

Set

3:38

19.7

EWT

Leonard

Jan. 13/99

Set

3:45

20.4

EWT

Veronica

Jan. 13/99

Set

3:48

24.1

EWT

Veronica

Jan. 13/99

Set

3:48

24.12

EWT

Veronica

Jan. 13/99

Set

3:48

24.13

EWS

Jocelyn

Jan. 13/99

Set

3:48

24.3

EWT

Veronica

Jan. 13/99

Set

3:50

25.1-25.2

EWX

Veronica, Joline

Jan. 13/99

Set

3:52

26.4

EWX

Veronica

Jan. 13/99

Set

3:52

27.4

EWT

Joline

Jan. 13/99

Set

3:53

28.3

EWX

Jocelyn

Jan. 13/99

Set

3:55

30.8

EWT

Veronica

Jan. 13/99

Set

3:55

30.2-30.3

EWX

Veronica

Jan. 13/99

Set

3:57

31.2

EWX

Jocelyn

Jan. 15/99

Set

12:22

1.3

EWX

Kirstin

Jan. 15/99

Set

12:23

2.1

EWT

Laura

Jan. 15/99

Set

12:24

3.1-3.3

EWX

Kirstin, Laura, Kyla

Jan. 15/99

Set

12:24

3.4

EWX

Kirstin

Jan. 15/99

Set

12:25

4.3

EWT

Kirstin

Jan. 15/99

Set

12:26

4.8-4.11

EWT

Kirstin, Laura

Jan. 15/99

Set

12:27

5.2

 

Laura

Jan. 15/99

Set

12:28

6.1

 

Kyla

Jan. 15/99

Set

12:29

7.3

EWT

Kirstin

Jan. 15/99

Set

12:30

8.17

 

Kyla

Jan. 15/99

Set

12:30

8.7-8.9

EWX

Kirstin

Jan. 15/99

Set

12:30

8.14

EWX

Kyla

Jan. 15/99

Set

12:33

9.2

EWT

Kyla

Jan. 15/99

Set

12:34

10.4

 

Kirstin

Jan. 15/99

Set

12:34

11.1

EWX

Laura

Jan. 15/99

Set

12:34

11.5

 

Kyla

Jan. 15/99

Set

12:34

11.6

 

Kirstin

Jan. 15/99

Set

12:34

11.7

EWX

Kyla

Jan. 15/99

Set

12:35

13.8

 

Kirstin

Jan. 15/99

Set

12:35

13.11

EWT

Kirstin

Jan. 15/99

Set

12:35

12.1

EWX

Kyla

Jan. 15/99

Set

12:35

13.10

 

Kirstin

Jan. 15/99

Set

12:38

14.1

EWX

Laura

Jan. 15/99

Set

12:38

14.12

EWT

Kirstin

Jan. 15/99

Set

12:38

14.7

EWT

Laura

Jan. 15/99

Set

12:44

16.3

EWT

Maurice

Jan. 15/99

Set

12:45

17.4-17.6

EWX

Saul, Ira

Jan. 15/99

Set

12:45

17.2

 

Saul

The Psychology of Students' Reasoning in School Mathematics
David A Reid
Page II-B-5

To Beginning of Section | To End of Section


Jan. 15/99

Set

12:46

18.1

EWX

Ira

Jan. 15/99

Set

12:46

19.1

EWT

Saul

Jan. 15/99

Set

12:47

20.2

EWX

Maurice

Jan. 15/99

Set

12:48

21.2

EWT

Saul

Jan. 15/99

Set

12:48

22.4

EWT

Maurice

Jan. 15/99

Set

12:48

22.6

 

Maurice

Jan. 15/99

Set

12:50

23.1

EWX

Saul

Jan. 15/99

Set

12:50

24.2

EWX

Maurice

Jan. 15/99

Set

12:51

25.5

EWS

Maurice

Jan. 15/99

Set

12:52

26.1-26.2

EWT

Saul

Jan. 15/99

Set

12:55

29.3

EWT

Maurice

Jan. 15/99

Set

12:57

31.2

 

Saul

Jan. 15/99

Set

12:57

31.3

EHT

Maurice

Jan. 18/99

Connect 4

3:30

2.22

EWT

David

Jan. 18/99

Connect 4

3:36

4.5

EHN

David

Jan. 18/99

Connect 4

3:39

5.9

EWX

Cynthia

Jan. 18/99

Connect 4

3:39

5.21

EHN

David

Jan. 18/99

Connect 4

3:44

6.17

EHN

Jared

Jan. 18/99

Connect 4

3:44

6.20

EHN

Jared

Jan. 18/99

Connect 4

3:48

7.7

EHN

Jared

Jan. 18/99

Connect 4

3:50

8.6

EHN

Jared

Jan. 18/99

Connect 4

3:53

9.7

EHN

Jared

Jan. 18/99

Connect 4

3:53

9.21

EWS

Jared

Jan. 18/99

Connect 4

3:53

9.26

EWT

Jared

Jan. 18/99

Connect 4

3:53

9.34

EHN

Jared

Jan. 18/99

Connect 4

3:53

9.42

EHN

Jared

Jan. 20/99

Connect 4

3:22

1.4

EWS

Leonard

Jan. 20/99

Connect 4

3:22

1.19

EWS

Leonard

Jan. 20/99

Connect 4

3:25

1.30

EHN

Leonard

Jan. 20/99

Connect 4

3:26

2.15

EHN

Preston

Jan. 20/99

Connect 4

3:26

2.21

EHT

Leonard

Jan. 20/99