Unit:
Κατεύθυνση Διδακτική και Μεθοδολογία των ΜαθηματικώνLibrary of the School of Science
Author:
Peppas Anastasios
Supervisors info:
Διονύσιος Λάππας, Καθηγητής Τμήματος Μαθηματικών ΕΚΠΑ
Ευάγγελος Ράπτης, Καθηγητής Τμήματος Μαθηματικών ΕΚΠΑ
Παναγιώτης Σπύρου, πρ, Αναπλ. Καθηγητής Τμήμ. Μαθηματικών ΕΚΠΑ
Original Title:
Οι ρητοί αριθμοί και η διδασκαλία τους
Translated title:
Teaching of rational numbers
Summary:
Rational numbers play a very important role in our lives as they are used in our everyday life. We learn to communicate with rational numbers from preschool years in the concept of partitioning. During preschool years, the understanding of rational numbers comes through visualisation. The child embraces the meaning of the part and the whole of a number only by using tangible examples, i.e. cutting food into equal parts.
During the school years children come in contact with the various expressions of rational numbers, which are the decimals, the fractions and the percentages. They learn to distinguish their structures and how they can move from one form to another. They also use algebraic actions to solve problems.
Rational numbers are also important in a person's life after school. They are included in everyday activities. In addition, rational numbers are the basis of many sciences. In Algebra, one has to fully understand rational numbers in order to be able to manage algorithms. Rational numbers are used in science that entail mathematics, i.e. Physics, Chemistry, Biology, etc., but also in theoretical sciences through statistical analysis.
This work presents the concept of rational numbers and rational functions as well as their properties. It analyses the way in which the rationals are taught from preschool to school years and the problems included at the sequence of the curriculum.
Main subject category:
Science
Keywords:
rational numbers, decimals, fractions, integers, part, whole
Number of references:
109
