1. komponenta

Lecture type	Total
Lectures	30

* Load is given in academic hour (1 academic hour = 45 minutes)

COURSE AIMS AND OBJECTIVES:
The aim of this course is to raise students' awareness about the applications of mathematics in everyday life and natural sciences, solidify their use of mathematical language and reading of mathematical proofs.

COURSE DESCRIPTION AND SYLLABUS:
1.-7. Mathematization. Examples of using mathematics in physics, chemistry, biology and economy. Applications of mathematics in everyday life. Process of mathematization.
8.-15. Proof. Types of proofs (direct proof, proof by contradiction). Examples of proofs in school mathematics. Construction of examples and counterexamples. Mathematical induction. Reading and constructing proofs.

1. udžbenici iz matematike za osnovnu i srednje škole.
2. The Art and Craft of Problem Solving, P. Zeitz, Wiley, 2007.
3. Oblici matematičkog mišljenja, Z. Kurnik, 2013.
4. Posebne metode rješavanja matematičkih problema, Z. Kurnik, 2010.
5. udžbenici, zbirke zadataka i ostali didaktički materijal za osnovnu i srednju školu.
6. časopisi Matka i Matematičko-fizički list.
7. Discovering Geometry: An Inductive Approach, M. Serra, Key Curriculum Press, 2001.
8. Discovering Advanced Algebra: An Investigative Approach, J. Murdock, Ellen Kamischke, Eric Kamischke, Key Curriculum Press, 2002.
9. Problem Solving Strategies - Crossing the River with Dogs and Other Mathematical Adventures, K. Johnson, T. Herr, Key Curriculum Press, 2002.

Izborni predmet 1 - Regular study - Mathematics and Physics Education