اثبات در ریاضی مدرسه ای، چرا؟

نوع مقاله : مقاله پژوهشی

نویسنده

گروه آموزشی علوم - استادیار ریاضی دانشگاه فرهنگیان/ پردیس بنت الهدی صدر رشت

چکیده

استدلال کردن و اثبات از جنبه های مهم و ارزشمند ریاضی هستند. بدون آشنایی با استدلال ها و اثبات ها، درک و فهم کامل دانش آموزان از ریاضی، تحقق نمی یابد. در این مقاله نظرات برخی از ریاضیدانان و آموزشگران ریاضی درباره استدلال و اثبات و اهمیت و ضرورت آن، بیان می گردد. همچنین روش های استدلال به همراه مثال هایی شرح داده می شود.

کلیدواژه‌ها


عنوان مقاله [English]

Proof in school math, why?

نویسنده [English]

  • Mansooreh Moosapoor
Professor Assistant of Farhangian University/ Pardis Bentolhoda Sadr, Rasht, Iran
چکیده [English]

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.

کلیدواژه‌ها [English]

  • Proof
  • reasoning
  • school mathematics
  • Mathematical education