Search results

1

Kritická místa v matematice u českých žáků na základě výsledků šetření TIMSS 2007

100%

Rendl M., Vondrová N.

Pedagogická orientace (Journal of the Czech Pedagogical Society)

|

2014

|

vol. 24

|

issue 1

22-57

EN

The goal of the empirical study is to describe critical areas of primary mathematics as can be found from the Czech Grade 8 pupils’ results in TIMSS 2007 and to identify possible causes of their difficulty for pupils. In the first part, a research background is briefly given – international comparative research in mathematics and possibilities of the secondary analyses of its data. The second part describes methodology in detail. We analysed data from so called TIMSS almanacs (results of Czech pupils at the level of concrete mathematical items from TIMSS and answers of the teacher questionnaire). To interpret possible causes we also used curricular documents and the analysis of the apparently most used primary mathematics textbooks. We set up a criterion for deciding whether the Czech pupils’ results for the given item is below their standard which we determined by comparing their average success rate with that of the international sample. Thus so called weak and very weak items were identified. They were divided into three areas which can be considered critical areas for Czech pupils: Algebra (with subareas of Functions, Substitution, Equations and inequalities, Expressions), Sequences, Shapes and solids. For each of the areas, weak and very weak items are presented together with their results and an outline of the nature of their difficulty for Czech pupils and possible causes of Czech pupils’ failure to solve them. It transpires that it is necessary to get a deeper insight into the nature of problems by clinical interviews with pupils. This will be a topic of further articles.

2

„Cała matematyka to właściwie geometria”. Poglądy Gottloba Fregego na podstawy matematyki po upadku logicyzmu

100%

Bogucki K.

Internetowy Magazyn Filozoficzny Hybris

|

2019

|

vol. 44

|

issue 1

1-20

EN

Gottlob Frege abandoned his logicist program after Bertrand Russell had discovered that some assumptions of Frege’s system lead to contradiction (so called Russell’s paradox). Nevertheless, he proposed a new attempt for the foundations of mathematics in two last years of his life. According to this new program, the whole of mathematics is based on the geometrical source of knowledge. By the geometrical source of cognition Frege meant intuition which is the source of an infinite number of objects in arithmetic. In this article, I describe this final attempt of Frege to provide the foundations of mathematics. Furthermore, I compare Frege’s views of intuition from The Foundations of Arithmetic (and his later views) with the Kantian conception of pure intuition as the source of geometrical axioms. In the conclusion of the essay, I examine some implications for the debate between Hans Sluga and Michael Dummett concerning the realistic and idealistic interpretations of Frege’s philosophy.

3

A Desconstrução e as Geometrias Métricas

100%

Borges de Meneses R. D.

Prosopon. Europejskie Studia Społeczno-Humanistyczne

|

2016

|

issue 1(14)

5-20

EN

Geometry is the branch of mathematics that studies the spatial forms, structures, relationships and operational properties. But there are varying degrees of space because of the extensions of analysis: Euclidean space, non-Euclidean, Hilbert space, and differential topological spaces. As the topology requires the operation of “passage to the limit”, hence one can derive that the formal elements borrowed Mathematical Analysis and Operating (functions, variables, etc.). According to Geometry, there are a very important deconstructions.

Refine search results

1 Internetowy Magazyn Filozoficzny Hybris

1 Pedagogická orientace (Journal of the Czech Pedagogical Society)

1 Prosopon. Europejskie Studia Społeczno-Humanistyczne

1 Bogucki K.

1 Borges de Meneses R. D.

1 Rendl M.

1 Vondrová N.

1 2019

1 2016

1 2014

Kritická místa v matematice u českých žáků na základě výsledků šetření TIMSS 2007

„Cała matematyka to właściwie geometria”. Poglądy Gottloba Fregego na podstawy matematyki po upadku logicyzmu

A Desconstrução e as Geometrias Métricas