Estruturas Numéricas

Learning objectives
1. Numeral systems: 1.1 Historic evolution in the numeral systems 1.2 Egyptian system 1.3 Babylon system 1.4 Mayan system 1.5 Roman system 1.6 Indo-Arab system 1.6.1 Bases and positional value 2. Set of natural numbers 3. Integers 3.1 Operations with integers 3.2 Properties of the operations 3.3 Prime numbers 3.4 Multiples and divisors 4. Set of Integers 4.1 Operations with relative integers 4.2 Operations´ properties 5. The set of rational numbers 5.1 Operations with rational numbers 5.2 Operations´ properties 5.3 Decimal fractions 5.4 Repeating decimal 6. Set of real numbers 6.1 Problem solving

Syllabus
We intent to study in this C.U. the mathematical knowledge centered in the topic Numbers and Operations, mainly about the evolution of numeral systems throughout the civilizations while simultaneously work on calculus and estimations. Simultaneously we will mobilize all the knowledge about sets of numbers in problem-solving. These objectives are worked through the manipulation of structured materials and the stimulation of activities supported on technological tools (software) promoting thus the reflection between pairs over them.

Teaching methodologies (including evalution)

The connection is made possible by the resolution of problems that involves knowledge about sets of numbers and the capability to communicate, understand and formulate conjectures about the aforementioned resolutions. Students will have to work on different strategies when resolving the proposed activities using structured and non-structured materials as well as a software application for their resolution.

Essential Bibliography (including ISBN)

CARAÇA, B. J.(1998), Conceitos Fundamentais da Matemática, Lisboa, Gradiva. ISBN: 9789726626169 PALHARES, P. (2004), Elementos de Matemática para professores do Ensino Básico, Lisboa, Lidel. ISBN 972-757-280-4