Thinking About Circles

  1. Syllabus
  2. Class Test
  3. Outcomes

More About Circular Reasoning

Research

  1. Design Problem
  2. Literature Review
  3. Work Models
  4. Design Patterns
  5. Design Experiments
  6. Lesson Ideas
  7. Montessori Computes
  8. Thinking About Circles

Related Links

Patterns and Design

Montessori

 

Outcomes

Questions 3-9 were multiple-choice questions.  Questions 3-6 were administered nationally to 8th graders in 1990 and 1992 as part of the National Assessment of Educational Progress (NAEP).  Questions 4, 7, 8, and 9 were administered to 12th graders in 1990 and 1992 as part of the NAEP.

 

Comparative Scores

Test Question

3

4

5

6

7

8

9

CR Pretest

 

 

 

 

 

 

 

Correct

31%

8%

15%

69%

31%

23%

31%

Incorrect

62%

54%

85%

23%

54%

54%

46%

Omitted Item

8%

38%

0%

8%

15%

31%

23%

8th Grade Scores

 

 

 

 

 

 

 

Correct

32%

23%

33%

74%

-

-

-

Incorrect

67%

73%

66%

25%

-

-

-

Omitted Item

10%

4%

1%

1%

-

-

-

12th Grade Scores

 

 

 

 

 

 

 

Correct

-

44%

-

-

70%

49%

79%

Incorrect

-

53%

-

-

29%

49%

20%

Omitted Item

-

3%

-

-

1%

2%

1%

CR Posttest

 

 

 

 

 

 

 

Correct

46%

46%

31%

92%

46%

54%

77%

Incorrect

54%

23%

69%

8%

36%

46%

23%

Omitted Item

0%

31%

0%

0%

15%

0%

0%

 

Pretest

 

 

 

 

 

 

 

Test Question

 

3

4

5

6

7

8

9

 

Age

Grade

C

B

A

A

B

A

B

Correct

9:04

3

C

D

C

D

D

A

C

29%

9:05

3

B

A

C

D

C

A&C

B

14%

9:01

3

A

C

C

A

A

D

C

14%

8:11

3

A

A

C

A

E

D

C

14%

9:04

3

D

B

C

A

A

C

B

43%

9:06

3

A

E

A

B

14%

10:06

4

C

A

A

C

14%

10:01

3

D

A

A

A

B

A

B

71%

9:03

3

C

A

A

B

B

71%

9:05

3

A

E

C

A

D

14%

9:03

3

A

C

C

E

B

0%

8:07

3

C

C

A

B

A

A

57%

9:00

3

C

C

C

D

14%

Average

 

 

 

 

 

 

 

 

29%

 

Posttest

Test Question

 

3

4

5

6

7

8

9

 

Age

Grade

C

B

A

A

B

A

B

Correct

9:05

3

C

B

C

A

C

C

D

43%

9:07

3

C

D

A

A

B

B

B

71%

9:02

3

A

C

A

A

C

29%

9:01

3

A

D

A

A

E

D

B

43%

9:05

3

D

B

C

A

B

A

B

71%

9:08

3

A

B

E

A

B

A

B

71%

10:07

4

C

D

A

A

C

43%

10:02

3

C

C

A

B

A&D

B

57%

9:04

3

C

A

A

A

B

A

B

86%

9:07

3

A

B

A

A

D

A

B

71%

9:05

3

B

B

C

A

B

A

B

71%

8:09

3

C

C

A

D

D

B

43%

9:02

3

A

B

C

B

C

B

B

29%

Average

 

 

 

 

 

 

 

 

56%