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Development of natural differentiation in mathematics classroom
Hošpesová, A. ; Tichá, Marie
The need that pupils achieve functional mathematical literacy grows. It makes considerable demands on teachers' professional competences, including their ability to react on heterogeneity and to create conditions for developmnet of all pupils' educational prerequisites. Heterogeneity is not grasped as a problem but as something natural and in some aspects challenging.
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Geometrical imagination as a part of mathematical literacy
Roubíček, Filip
The paper deals with geometrical imagination as ability to interpret geometrical content, evoke images and manipulate with them. It describes approaches to teaching of geometry at primary school (natural geometry, principles of didactical structure of geometry) and activities for development geometrical imagination of pupils.
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Problem posing as a way to mathematical literacy
Tichá, Marie ; Hošpesová, A.
In our work we search for ways of development of students' mathematical literacy. We aim at students' ability to utilize mathematics as a suitable tool for understanding of the world. Our aim is that students will be able to develop their knowledge. We stress not only solving of various problems. Also problem posing gets in the centre of our considerations on mathematical education. We believe that problem posing should be one of central topics of teaching of mathematics. It could be understand as aim as well as means of education and in addition also as diagnostic and motivating tool.
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Substantial Learning Environments for Natural Differentiation
Tichá, Marie
In the contribution we will discuss several questions related to the creation and discovery of substantial learning environments and the potential they bear for general improvement of education. The concept of "substantial learning environment" will be characterized. We will also demonstrate what potential it has for natural differentiation as one of the forms of inner motivation.
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Problem Posing, a Way to Teachers' Change
Hošpesová, A. ; Tichá, Marie
Problem posing is an important component of a teacher's everyday activity. This contribution wants to show how problem posing may be used as a way to an increase in teachers' professionalism, to improvement of their subject didactic competence and also as a diagnostic and motivational tool.
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Representational envinonments for plane transformations
Roubíček, Filip
The paper includes some illustrations of representational environments suitable for teaching of plane transformations in lower secondary school, namely reflection, rotation, and translation. It deals with properties of transformations, composition of reflections, and in particular various forms of modelling: reflecting, pinking, tracing, printing, and patterning.
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Problem posing in frame of teacher training
Tichá, Marie
In the centre of the considerations on teachers´education is searching for the ways how to enhance their professional competence. Therefore we focus on improvement of pedagogical content knowledge. Experience based on the work with both teacher students and in/service teachers show that especially beneficial is development of ability in problem posing.
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