Problem Solving, Spyros Kalomitsines

Name: Problem Solving, Spyros Kalomitsines
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Problem Solving – Effective methods for High School
and University students – How to become better problem solvers

ΖΗΤΗΣΤΕ ΤΑ ΣΕ ΟΛΑ ΤΑ ΒΙΒΛΙΟΠΩΛΕΙΑ

και ONLINE https://24grammata.com/product/3256/

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Μοναδικές κριτικές για το βιβλίο του Σπ. Καλομιτσίνη από μαθηματικούς διεθνούς φήμης

Problem Solving – Effective methods for High School

1.8. COMMENTS REGARDING KALOMITSINES’ IDEAS 151

About the author

Dr. Spyros Kalomitsines is a former director of the Experimental School of the

University of Athens. He has also taught problem solving at the University of

Athens. His problem solving Methods have been tested many times at the above

Experimental School of the University of Athens, as well as in USA by making

computer models.

This book is dedicated to my family: My wife Matina (for her contribution in

step 3, page 148 ), my son Panagiotis and to my daughter Alexandra (Epilogue on

page 150 ).

1.8 Comments regarding Kalomitsines’ ideas

(−) Professor W. Wickelgren – he has worked on problem solving at the MIT

and he has written a book on problem solving. After reading the methods

wrote to Mr. Kalomitsines:

. . . Let me emphasize that I believe your ideas are ingenious and of great

value in improving peoples problem solving. The students of the world will

be the losers if you are too modest to publish your ideas in prominent outlets

. . .

(−) Professor Steve Krantz (May 18, 2016, e-mail), Washington Uni-

versity:

. . . quite interesting and dierent from anything else I have seen. (e-mail to

Sp. Kalomitsines)

(−) Professor D. Bergeles, rst winner in a dicult mathematical com-

petition, (November 10, 2014, e-mail):

. . . when we try to solve a dicult problem, Mr. Kalomitsines managed to de-

scribe, explicitely and succesfully, the steps that very often and unconciously we

follow, trying to surpass dead ends or trying to get out of any loops . . .

(−) Professor J. Greeno – University of Pittsburgh and Stanford University:

(i) . . . The progress made in developing new theoretical analysis was much

greater than any I have ever observed, due to Mr. Kalomitsines very in-

tensive eorts and the thoroughness he has previously done, on the topic of

problem solving . . .

(−) Professor A. Posamentier – Journal: The Mathematics Teacher

. . . the instruction of Mathematics would be greatly strengthened if every

mathematics teacher would incorporate the many valuable ideas . . . (review

for the book “Attack your problem”)

(−) Professor Melas A., a talented mathematician, gold medalist in two Mathematical

Olympiads, who is currently a celebrated mathematician at the

152 CHAPTER 1. PROBLEM SOLVING & ARTIFICIAL INTELLIGENCE

University of Athens, when rst read the method, said:

This is the way I think when I solve problems.

(−) G. Leondiadis, a researcher in bio-medicine in Canada, sent an e-mail to

Mr. Kalomitsines

. . .Your methods hooked me. They are ingenious, especially the How to

get out of loops.

I am sure they will be helpful in my research.

(−) An Olympiad medalist, K. Demetriou, once said to Spyros Kalomitsines:

I had gotten stuck, with a problem in Functional Analysis. Then, I decided to

try your methods and I found the solution easily. This these methods mean to

me: “Pat” the problem and it will respond!

(−) Professor H. Simon (Nobel 1978) . . . The method “how to get out of loops”

is very interesting . . .

(−) Read also a review from the Mathematical Association of America (MAA)

by David A. Hackaby, on 31~3~2009) for Kalomitsine’s book: How to solve

problems: New methods and Ideas

An extract from this review is:

Anyone who applies these methods to solve the many examples and

problems in this book cannot help but become a better problem

solver.

(−) Top review from a reviewer in the United States on January 22, 2015: A

must read book for people training for International Mathematical Olympiad

and Putnam. Fantastic book! Honestly, I wonder why this book is not so

popular in the problem solving community . . . . . . . . . It has the practices that are

necessary for an aspiring problem solver to cultivate with time as he matures

into the problem solving tradition. That material is not found ANYWHERE.

. . . . . . . . . The description method says that you must write down everything

related to a problem and the “coded information” hidden in the problem comes

out. He also talks about method of getting out of loops. . . . . . . . . . Honestly,

with enough hard work, and following Kalomitsines’ ideas, almost anyone can

become a very good problem solver. This book is especially useful for people

training for the International Mathematical Olympiad.

1.8. COMMENTS REGARDING KALOMITSINES’ IDEAS 153

short CV

Personal Data

Spyros Kamolitsines

22 Kapodistriou Str, N. Penteli, 15236, Athens, Greece

e-mail: [email protected]

tel: +30210 8048144, +306944 365929

Dr. Spyros Kalomitsines is former director of the Experimental

School of the University of Athens.

− He has also taught problem solving at the University

of Athens, Greece (retired now). He was awarded a Fulbright

scholarship in 1980 and went to USA (LRDC of

Pittsburgh University) where he made some computer

programs (based on Cognitive Psychology) on problem

solving using his methods (read comments on section

1.8 Part III).

In 2012 he started adapting Aristotle’s Logic to his

problem solving methods, so they became much better

and more dynamic. This quite new form is included

in this book: Read comments, S. Krantz, D. Bergeles.

November 18, 2020

ΣΕΙΡΑ / SERIES: ΕΚΠΑΙΔΕΥΣΗ / EDUCATION (αρ. σειράς 56)
Τίτλος / Title: Problem Solving – Effective methods for High School
and University students – How to become better problem solvers
Συγγραφέας / Author: Σπύρος Καλομιτσίνης / Spyros Kalomitsines
Τόπος και Χρονολογία πρώτης έκδοσης:
Αθήνα, Μάρτιος 2020
Σελίδες: 176
Διάσταση σελίδας: 17x25cm
Γραμματοσειρά: Minion Pro
Χαρτί: γραφής 100gr
ISBN: 978 6185 469 184
Εκδόσεις: 24γράμματα / Γιώργος Δαμιανός
Διεύθυνση / Address:
Λεωφόρος Πεντέλης 77, Χαλάνδρι 152 34
Leoforos Pentelis 77, Chalandri 152 34
Tel.: +30 210 612 70 74
Email: [email protected]
Web site / e-shop: www. 24grammata.com
Copyright © 2020 24γράμματα

Problem Solving, Spyros Kalomitsines

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