Mathematical proof still difficult to learn and to teach in the real life. Students usually ignore the function of proofing mathematically in their daily activity. They thought that they will not need any concept of proofing in their life. However, mathematics proof is not only about mathematics theorem, but the logical thinking, creative thinking, training to use and connected their prior knowledge to build sequence of logic procedure to proof. Therefore, this study designed an instructional activity to learn integral using mathematical proof for engineering students in order to issued students’ way of proof. The activities were adopted from the meaning of proof, which are proof as verification, explanation, logical argument, justification, discovery and derivation. The result showed students still got difficulties in proving the integral problems, but successful students appears with Restrictive Cognitive levels of proof scheme, which are Contextual, Generic and Constructive. Among the three, contextual and generic are mostly done by the students by interpreting and proving the conjecture in the specific or particular context.

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