My thesis is about functions, like linear functions, quadratic functions, goniometric functions etc. Goal of my work ist to design appropriate tasks with focus on function links. Students can with help of matematic program GeoGebra discover and adopt needed properties of functions. In this work you can find Cartesian coordinates and overview of basic properties of functions too.

Inequalities as a diagnostical tool for discovering formalism in various domains of school mathematics Abstract: This thesis targets various types of errors and their causes, in particular formal using of mathematical symbolism, appearing in students solutions of specific inequalities. The theoretical part refers on articles dea- ling with the difficulties manifested in students solutions of inequalities and with factors influencing appearence of these difficulties, on the basic publi- cation dealing with the theory of errors and the factors that influence the occurrence of these. In the practical part, I analyze works of students from one secondary school in Prague. The aim of the diploma is to detect domains where negative transfer of knowledge influence the domain of inequalities. Errors identified in these solutions are closely linked with domain of equati- ons, but they are also influenced by knowledge from the domain of function, sets, algebraic expressions, mathematical logic and numbers. Keywords: Work with errors, typology of errors, inequalities, mathemati- cal symbolism, transfer of knowledge, goniometric inequalities, strategies in solving inequalities 1