Appendix III -  Quantitative Analysis for Specific Populations

 

     Tables 7 a, b, and c show the average scores of students on the Exam Question by activity score and by gender.

 

TABLE 7a

 

Calculus Conversation Grade on Problem 1

Mean

N

Standard Deviation

                 Male

1               Female

0.00

33.33

1

3

---

28.87

                 Male

2               Female

---

---

---

---

---

---

                 Male

3               Female

52.83

29.25

6

4

52.04

15.75

                 Male

4               Female

59.61

78.17

26

36

38.01

25.97

 

 

TABLE 7b

 

Calculus Conversation Grade on Problem 2

Mean

N

Standard Deviation

                Male

1              Female

83.00

--

2

--

.00

--

                Male

2              Female

--

79.00

--

4

--

8.00

                 Male

3               Female

81.22

77.67

9

6

5.33

17.11

                 Male

4               Female

92.13

89.65

15

26

10.71

11.62

 

TABLE 7c

 

Calculus Conversation Grade on Problem 3

Mean

N

Standard Deviation

                  Male

1                Female

53.50

50.00

4

1

37.12

---

                  Male

2                Female

--

--

--

--

--

--

                  Male

3                Female

57.87

50.18

8

11

34.69

29.54

                  Male

4                Female

62.71

65.21

14

24

22.87

25.27

 

 

     Tables  8 a, b, and c show the average score of students on the Exam Question by activity score and their status as a High School or College student.

 

TABLE 8a

 

Calculus Conversation Grade on Problem 1

Mean

N

Standard Deviation

             College

1           High School

.00

50.00

2

2

.00

.00

             College

2           High School

--

--

--

--

--

--

             College

3           High School

43.40

--

10

--

41.66

--

             College

4           High School

73.49

87.11

39

9

34.12

19.95

 

TABLE 8b

 

Calculus Conversation Grade on Problem 2

Mean

N

Standard Deviation

             College

1           High School

83.00

--

2

--

.00

--

             College

2           High School

79.00

--

4

--

8.00

--

             College

3           High School

79.8

--

15

--

11.14

--

             College

4           High School

90.47

90.82

30

11

11.32

11.48

 

 

 

TABLE 8c

 

Calculus Conversation Grade on Problem 3

Mean

N

Standard Deviation

 

 

             College

1           High School

52.80

--

5

--

32.18

--

 

             College

2           High School

--

--

--

--

--

--

 

             College

3           High School

53.42

--

19

--

31.11

--

 

             College

4           High School

60.81

72.82

27

11

25.10

20.09

 

 

     Tables 9 a, b, and c show the average score of students on the Exam Question by activity score and their status as a first time Calculus student or as a repeating student.  A repeating student is one who has typically taken Calculus in High School and is repeating the experience at the college level.

 

TABLE 9a

 

Calculus Conversation Grade on Problem 1

Mean

N

Standard Deviation

              First-time

1            Repeater

33.33

.00

3

1

28.87

--

              First-time

2            Repeater

--

--

--

--

--

--

              First-time

3            Repeater

52.12

8.5

8

2

42.14

12.02

              First-time

4            Repeater

76.55

73.38

27

21

28.93

36.75

 

TABLE 9b

 

Calculus Conversation Grade on Problem 2

Mean

N

Standard Deviation

              First-time

1            Repeater

83.00

83.00

1

1

--

--

              First-time

2            Repeater

79.00

--

4

--

8.00

--

              First-time

3            Repeater

77.55

83.17

9

6

11.61

10.44

              First-time

4            Repeater

88.79

93.06

24

17

11.69

10.35

 

TABLE 9c

 

Calculus Conversation Grade on Problem 1

Mean

N

Standard Deviation

                First-time

1              Repeater

53.50

50.00

4

1

37.11

--

                First-time

2              Repeater

--

--

--

--

--

--

                First-time

3              Repeater

51.07

58.50

13

6

30.37

35.01

                First-time

4              Repeater

59.67

70.00

21

17

22.72

25.27

 

 


     Tables 10 a, b, and c show the distribution of Calculus Conversation scores by section.

 

TABLE 10a

 

Coded Calculus Conversation Activity Score for Question 1

                                                                                   

Section

Problem Grade = 1

Problem Grade = 2

Problem Grade = 3

Problem Grade = 4

1

4

 

 

21

2

 

 

3

18

3

 

 

7

9

 

 

TABLE 10b

 

                        Coded Calculus Conversation Activity Score for Question 2             

 

Section

Problem

Grade = 1

Problem

Grade = 2

Problem

Grade = 3

Problem

Grade = 4

1

 

 

 

25

2

 

 

6

13

3

 

4

9

3

 

TABLE 10c

 

Coded Calculus Conversation Activity Score for Question 3

 

Section

Problem Grade = 1

Problem Grade = 2

Problem Grade = 3

Problem Grade = 4

1

3

 

 

22

2

 

 

8

13

3

2

 

11

3

 

 

 

One can see that the distribution of scores does vary by section, especially in the percent of the class receiving the highest score for the Calculus Conversation activity.