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This research seeks to address the effect of extended triad learning model on the abilities of mathematical representation and to prove theorem when controlled by cognitive style covariate. This research applied the quasi-experimental method with a 2x2 factorial design. Data were analyzed by covariate analysis. The result of this research was: 1) The influence of extended triad model to student's mathematical representation of the real analysis more better than the conventional learning model when controlled by cognitive style covariate; 2) The influence of extended triad learning model on the students' proofing theorem ability of the real analysis more better than the conventional learning model when controlled by cognitive style covariate. Keywords—Ability Mathematical Representation, Proof Theorem, Extended Triad

The Effects of the Extended Triad Model and Cognitive Style on the Abilities of Mathematical Representation and Proving of Theorem