Mathematics and Logical Thinking

Postgraduate Thesis uoadl:2635227 364 Read counter

Unit:
Κατεύθυνση Διδακτική και Μεθοδολογία των Μαθηματικών
Library of the School of Science
Deposit date:
2018-01-26
Year:
2018
Author:
Katsikis Anastasios
Supervisors info:
Κ. Δημητρακόπουλος, Καθηγητής, Τμήμα Ιστορίας και Φιλοσοφίας της Επιστήμης, ΕΚΠΑ
Original Title:
Μαθηματικά και Λογική Σκέψη
Languages:
Greek
Translated title:
Mathematics and Logical Thinking
Summary:
In Chapter 1 there is a brief presentation of the history of Logic. From the beginnings of Logic, where there was the need to use arguments, and Aristotle to modern symbolic Logic.
In Chapter 2, which is more "technical", Propositional Logic is studied, presenting its language, semantics and its most important laws.
Chapter 3 and Chapter 4 illustrate the correlation between Logic and teaching. In the third Chapter there is a general discussion about the history of Logic in the Greek educational system, its multifaceted role in mathematical activity and the way we can teach Logic today. In the 4th and more applied Chapter we present and analyze some studies that have been made about how students understand and use the basic concepts of Logic, such as implication, contraposition, negation.
In the 5th and final Chapter we present the Theory of Formal Discipline and its effect on the teaching of mathematics in Secondary Education.
Main subject category:
Science
Keywords:
Propositional Logic, Logic Education, Theory of Mental Models, Theory of Formal Discipline
Index:
No
Number of index pages:
0
Contains images:
No
Number of references:
47
Number of pages:
82
διπλωματική.pdf (19 MB) Open in new window