The learning process is inseparable from the strategies and learning models used. The application of the learning model is an effort to improve student's abilities and learning outcomes. This research aims to determine the effect of the STAD and Jigsaw cooperative learning models in terms of numerical abilities on learning outcomes. Data collection was carried out using a test instrument to see students' mathematics learning outcomes. Data analysis is carried out by using a two-way ANOVA statistical test and further testing using the Tukey test. Based on the results of the research, it can be concluded that there is a significant effect between the STAD type cooperative learning model in terms of numerical abilities on mathematics learning outcomes, but for the Jigsaw model there is no effect of the learning model in terms of numerical abilities on mathematics learning outcomes and there is no difference between classes that using the STAD model with a class that uses the JIGSAW model in terms of numerical abilities on students' mathematics learning outcomes.

This quasi-experiment aims to determine the influence of the Problem Based Learning (PBL) model and verbal-visual abilities on Grade VIII students’ learning outcomes. The population in this study were all students of SMPN 7 Kerinci and the sample of the study was 27 students from class VIII A as the experimental class and 26 students from class VIII B as the control class.  Research data collection through test instruments to see students’ mathematics learning outcomes.  Statistical analysis using two-way ANOVA with SPSS 21 software with a significance of 0.05. The results showed that there was an influence of the Problem Based Learning (PBL) model and verbal-visual ability on the mathematics learning outcomes of Grade VIII students with sig. 0,001 0,005,  there is an influence of verbal-visual ability on mathematics learning outcomes of class VIII students with sig. 0,000 0.05 and there is no interaction between the PBL model and verbal-visual ability in influencing students’ learning outcomes in class VIII with sig. 0.341 0.05.

The low ability to think critically can affect the student's learning process. In overcoming the problem of critical thinking, teachers must first observe students' self-regulation. This quasi-experimental study aims to determine the effect of the CORE and PBL models on students' critical thinking skills based on self-regulation and interactions. The population is all 8th grade students of SMP N 1 Tungkal Ulu. Random sampling technique was used to choose class VIII B as experimental class 1 with 34 students, VIII D as experiment class 2 with 32 students, and VIII E as control class with 33 students. Data were collected using test questions. Statistical test using two-way ANOVA with SPSS software version 21 with a confidence level of 0.05. The results of the study based on hypothesis testing in the three classes obtained that Fcount was 18.693 while the value of Ftable was 4.00, meaning that Fcount was greater than Ftable. These results indicate that H1 is accepted (there are differences in critical thinking). It was concluded that CORE and PBL learning had an effect on improving students' critical thinking skills compared to traditional learning. However, there is no interaction between learning treatment and critical thinking skills.