|
|
Word problems of a given structure in the perspective of teacher training
Tichá, Marie ; Hošpesová, A.
The paper reports on the results of a research study focusing on how to train prospective teachers for guiding their pupils through the process of solving word problems. The teaching experiment involved prospective teachers’ work with graphical representations called branched chains to solve and pose word problems. The paper shows the difficulties the students were facing, presents ideas from discussions during joint reflection, tries to describe the changes in the students’ skills and attitudes. It also points at the differences between prospective primary and secondary mathematics teachers.
|
|
| |
|
|
How primary school teachers posed problems for inquiry based mathematics education
Hošpesová, A. ; Samková, L. ; Tichá, Marie ; Roubíček, Filip
The paper reports on a survey whose aim is to contribute to the research in the area of inquiry based mathematics education (IBME), primary school teacher training, and problem posing. The core of the study is an empirical survey with a qualitative design. We let pre-service and in-service primary school teachers pose problems which they believe enable IBME, perform the problems with pupils, and write self-reflections on this activity. We investigated the nature of the posed problems in relation to the self-reflections.
|
|
|
Problem solving and problem posing (not only in teacher training)
Hošpesová, A. ; Tichá, Marie
Problem solving we can support by problem posing. The paper shows the different possibilities of problem posing (to a given calculation, to the given data or results, to given structure) and their illustrations through problems posed by students and teachers. It is outlined that problem posing can be understood as a goal of education, training and diagnostic tool and as a source of motivation.
|
|
|
Seven forms of inquiry-based mathematics teaching III
Tichá, Marie ; Hošpesová, A.
This article aims at using particular examples to clarify an idea of how we understand inquiry based mathematics teaching. It follows up on the contribution Regularities and dependences as an environment for inquiry-based education, which was published in the proceedings of the Setkání in 2012, and to develop and deepen the ideas presented in that contribution.
|
|
|
Posing problems with a given structure
Tichá, Marie ; Hošpesová, A.
In the contribution we present ongoing research findings concerning benefits of the activities connected with problem posing in education of teachers and student teachers as a way improving their professional skills. We remind (recall, commemorate) diagnostic, educational and motivational benefits of these activities. We justify (substantiate) the need to consciously pay attention to the structure of posed problems.
|
|
|
Posing problems with a given structure by pre-service teachers
Hošpesová, A. ; Tichá, Marie
Posing problems of given structure is considered as a way of fostering teachers’ competence. We work with schemas from two perspectives: (a) schema as visualization of process of problem solving, (b) schema as representation of the structure of problem. We focused on the question: What problems do students pose if they are given a branched chain which represents the structure problem or solving procedure? Findings of ongoing research from work with teacher students are given.
|
|
|
Regularities and dependences as an environment for inquiry based education
Hošpesová, A. ; Tichá, Marie
Requirements for teacher professional competence grow. It turns out that for deepening and improving the knowledge of future primary schools teachers occupy an important role the experience with inquiry based education. Therefore, we are trying to find and design learning environments and implement them in the preparation of teacher students so that they have the possibility to experience yourself inquiry based education from the position of the pupil and realize its benefits.
|
|
|
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.
|
|
|
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.
|
guest ::
