در ساختمان های چهار طبقه یا كمتر به جای آسانسور از پله ها استفاده كن. اچ جکسون براون (کتاب نکته‌های کوچک زندگی)

چگونه مسئله حل کنیم

چگونه مسئله حل کنیم

how to solve it

 

Contents

part1 . in the classroom

  • Helping the sttudent
  • Questons, recommendations, mental opertations
  • Generality
  • Common sense
  • Teacher and student. Imitation and practice
  • Four phases
  • Understanding the problem
  • Example
  • Carrying out the plan
  • Example
  • Looking back
  • Example
  • Various approaches
  • The teacher's method of questioning
  • Good questons and bad questions
  • A problem of construction
  • A problem to prove
  • A rate problem

part2. how to solve it

  • A dialog

Part3. short dictionary of heurustic

  • Analogy
  • Auxiliary elements 
  • Auxiliary problem 
  • Bolzano
  • Bright idea
  • Can you check the result?
  • Can you derive the result differently?
  • Can you use the result?
  • Carrying out
  • Condition
  • Contradictory
  • Corrolary
  • Could you derive something useful from the data?
  • Could you restate the problem?
  • Decomposing and recombining
  • Definition
  • Descartes
  • Determination, hope, success
  • Diagnosis
  • Did you use all the data?
  • Do you know a related problem?
  • Draw a figure
  • Examine your guess
  • Figures
  • Generalization
  • Have you seen it before?
  • Here is a problem relater to yours and solved before
  • Heuristic
  • Heuristic reasoning
  • If you cannot solve the proposed problem
  • Induction and mathematical induction
  • Inventor's paradox
  • is it possible to satisty the condition?
  • Leibnitz
  • Lemma
  • Look at the unknown
  • Modern heuristic
  • Notation
  • Pappus
  • Pedantry and mastery
  • Practical problems
  • Problems to find, problems to prove
  • Progress and achievement
  • Puzzles
  • Reductio ad absurdum and inditect proof
  • Redundant
  • Rules of descovery
  • Rules of style
  • Rules of teaching
  • Separate the various parts of the condition
  • Setting up equations
  • Signs of progress
  • Specialization
  • Subconscious work
  • Symmetry
  • Tems, old and new
  • Test by dimension
  • The future mathematician
  • The intelligent reader
  • The traditional mathematics professor
  • Variation of the problem
  • What is the unknown?
  • Why proofs?
  • Wisdom of proverbs
  • Working backwards

part4. 

  • Problems
  • Hints
  • Solutions

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ترجمه فارسی این کتاب نیز با عنوان "چگونه مسئله حل کنیم" به کتابخانه تخصصی ریاضیات رایشمند اضافه شد

 

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نوعکتاب
رشتهریاضی
مقطعدوستداران ریاضی
گرایشبدون گرایش
زبانانگلیسی
نوع کاربردغیردرسی
نویسندهG. polya
سال انتشار1973
صفحه253
نام منبعمجله علمی رایشمند
لینک منبعhttps://rayeshmand.ir/Default.aspx?tabid=33&artmid=400&articleid=664&language=fa-IR

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