This study aims to determine: Â The effect of initial mathematical ability on students' mathematical communication ability; Â The effect of initial mathematical ability on students' self-efficacy; The effect of cooperative learning model type numbered heads together and direct learning on students' mathematical communication ability; The effect of cooperative learning model type numbered heads together and direct learning on students' self-efficacy; The interaction between initial mathematical ability and learning model on mathematical communication ability; The interaction between initial mathematical ability and learning model on self-efficacy. This study is a quantitative study with a quasi-experiment. The sample of this study was 62 students of MAN 1 Medan class X, with a two-way ANOVA analysis. The results of the study showed that: Â There is an influence of initial mathematical abilities on students' mathematical communication abilities; There is an influence of initial mathematical abilities on students' self-efficacy;There is an influence of the cooperative learning model type numbered heads together and direct learning on students' mathematical communication abilities; There is an influence of the cooperative learning model type numbered heads together and direct learning on students' self-efficacy; There is no interaction between initial mathematical abilities and learning models on mathematical communication abilities; There is no interaction between initial mathematical abilities and learning models on self-efficacy.
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