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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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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=51&artmid=1417&articleid=664&language=fa-IR

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