اثبات در رياضي مدرسه اي، چرا؟

?Proof in school math, why

استدلال كردن و اثبات از جنبه هاي مهم و ارزشمند رياضي هستند. بدون آشنايي با استدلال ها و اثبات ها، درك و فهم كامل دانش آموزان از رياضي، تحقق نمي يابد. در اين مقاله نظرات برخي از رياضيدانان و آموزشگران رياضي درباره استدلال و اثبات و اهميت و ضرورت آن، بيان مي گردد. همچنين روش هاي استدلال به همراه مثال هايي شرح داده مي شود.

Argumentation and proof are important and valuable aspects of mathematics. Without realizing the arguments and proofs, the full understanding and understanding of the students of mathematics will not be realized. Understanding the methods of reasoning makes students more aware of mathematics and its beauties and develops their rational thinking and makes students do not look at mathematics as a mere procedural knowledge. Mathematicians have proven worthwhile arguments and arguments that are not worthy of consideration. In this article, the views of some mathematicians and mathematicians on the reasoning and the proof of its importance and necessity are expressed. Arguments are also described along with examples. Among the methods of reasoning that we are discussing in this article are: intuitive understanding, allegorical reasoning, inductive reasoning, mathematical induction, deductive reasoning, and the method of posterior argument. In this paper, each of them is defined and described, and the strengths of each one are expressed.