Table 4 Pairwise comparisons of individual characteristics by instructional style

6

How many years have you been teaching upper-division mathematics courses?

H = 7.552, n = 219, p = .023

E > M (p = .028)

E ~ L

M ~ L

How many times have you taught abstract algebra?

H = 6.370, n = 219, p = .041

E ~ M

E > L (p = .043)

M ~ L

7

I think lecture is the best way to teach.

H = 63.391, n = 215, p < .001

E > M (p < .001)

E > L (p < .001)

M > L (p < .001)

I think lecture is the only way to teach that allows me to cover the necessary content.

H = 61.125, n = 213, p < .001

E > M (p < .001)

E > L (p < .001)

M > L (p < .001)

I think there is enough time for all the content I need or want to teach.

H = 2.215, n = 216, p = .330

E ~ M

E ~ L

M ~ L

When I last taught algebra, I had enough time during class to help students understand difficult ideas.

H = 1.690, n = 216, p = .430

E ~ M

E ~ L

M ~ L

When I last taught algebra, I felt pressured to go through the material quickly to cover all the required topics.

H = 3.515, n = 215, p = .172

E ~ M

E ~ L

M ~ L

8

I think students learn better when they do mathematical work (in addition to taking notes and attending to the lecture) in class.

H = 27.508, n = 214, p < .001

E < M (p < .001)

E < L (p < .001)

M ~ L

I think students learn better when they struggle with the ideas prior to me explaining the material to them.

H = 18.045, n = 213, p < .001

E ~ M

E < L (p < .001)

M < L (p = .016)

I think students learn better if I first explain the material to them and then they work to make sense of the ideas for themselves.

H = 29.526, n = 215, p < .001

E ~ M

E > L (p < .001)

M > L (p < .001)

I think that all students can learn advanced mathematics.

H = 14.438, n = 215, p = .001

E ~ M

E < L (p < .001)

M > L (p = .015)

I think all students can learn abstract algebra.

H = 14.049, n = 214, p = .001

E ~ M

E < L (p = .001)

M ~ L

9

Interest in teaching abstract algebra.

H = 1.080, n = 215, p = .583

E ~ M

E ~ L

M ~ L

Interest in teaching other advanced classes.

H = .498, n = 214, p = .780

E ~ M

E ~ L

M ~ L

Interest in discussing/reading about how students learn key ideas in abstract algebra.

H = 7.368, n = 215, p = .025^*

E ~ M

E < L (p = .048)

M ~ L

Interest in doing/reading research that could be considered the scholarship of teaching and learning.

H = 7.307, n = 216, p = .026^*

E ~ M

E < L (p = .033)

M ~ L

Interest in doing research in abstract algebra.

H = 6.582, n = 214, p = .037^*

E ~ M

E > L (p = .033)

M ~ L