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Examining relation between talent and competence through an experiment among 11th grade students
17-34Views:120The areas of competencies that are formable, that are to be formed and developed by teaching mathematics are well-usable in recognizing talent. We can examine the competencies of a student, we can examine the competencies required to solve a certain exercise, or what competencies an exercise improves.
I studied two exercises of a test taken by students of the IT specialty segment of class 11.d of Jedlik Ányos High School, a class that I teach. These exercises were parts of the thematic unit of Combinatorics and Graph Theory. I analysed what competencies a gifted student has, and what competencies I need to improve while teaching mathematics. I summarized my experience about the solutions of the students, the ways I can take care of the gifted students, and what to do to the less gifted ones. -
Teaching geometry using computer visualizations
259-277Views:85In this work we study the development of students' creativity using computer-aided-teaching during IT classroom. Teaching geometry in Bolyai Grammar School specialized natural science classes is not an easy task. Here is introduced a new didactic means of teaching geometry which nevertheless requires the same effort to understand the material, but uses a different more active method to familiarize students with the topics. Traditional methods, and the use of compasses and rulers are not omitted either, as they develop the students' motor skills. -
Learning and Knowledge: The results, lessons and consequences of a development experiment on establishing the concept of length and perimeter
119-145Views:93In the paper the four main stages of an experiment are described focusing on the question as to how much measuring the length and perimeter of various objects such as fences, buildings by old Hungarian units of measurements and standards contribute to the establishment of the concept of perimeter.
It has also been examined in what ways and to what extent the various forms of teaching such as frontal, group and pair and individual work contribute to the general knowledge, thinking, creativity and co-operation in this area.
It will also be shown to what extent folk tales, various activities and games have proved to be efficient in the teaching of the particular topic.
Every stage of the experiment was started and closed with a test in order to find out whether the development was successful and children managed to gain lasting knowledge in this particular area. -
Die Methode von Prof. Tibor Szele im Unterricht begabter Schüler
143-151Views:144Prof. Tibor Szele' has attempted to develop the mathematical problemsolving, creativity include the use of investigations and host of other devices beyond the classroom, i.e. in "mathematical circles" for talented students in secondary schools. This paper of the author – who himself has taken part in Seles1s mathematical circles – quotes from these activities according his earlier notes. This description illustrates the didactic method of Prof. T. Szele.
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