Table 6.9 GLMM comparison regarding students’ understanding of generality in relation to conviction and comprehension (Model 1 regarding empirical arguments; Models 2–4 regarding generic and ordinary proofs)
From: Results
Dependent variable: | ||||
|---|---|---|---|---|
Understanding generality | ||||
Model 1 | Model 2 | Model 3 | Model 4 | |
(Intercept) | 0.652** | 0.145 | 0.161 | −0.632* |
(0.202) | (0.176) | (0.194) | (0.285) | |
completely convincing | −0.258 | 0.744*** | 0.352 | |
(0.278) | (0.180) | (0.226) | ||
not at all convincing | 0.899* | 0.519 | 1.069** | |
(0.365) | (0.316) | (0.375) | ||
understood completely | 0.697*** | 0.423\(^{+}\) | ||
(0.193) | (0.245) | |||
understood not at all | −0.288 | −0.793\(^{+}\) | ||
(0.351) | (0.410) | |||
ordinary proofs | 0.050 | 0.105 | 0.184 | |
(0.184) | (0.188) | (0.183) | ||
familiar | 0.173 | |||
(0.166) | ||||
meaning generality | 0.634** | |||
(0.221) | ||||
CRT score | 0.554** | |||
(0.204) | ||||
LK | 0.232 | |||
(0.207) | ||||
SD (Intercept id) | 0.978 | 0.631 | 0.658 | 0.505 |
Observations | 431 | 760 | 760 | 760 |
AIC | 538.9 | 973.4 | 971.9 | 949.5 |
BIC | 555.2 | 996.5 | 995.1 | 1000.5 |