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• Teaching Fourier series, partial differential equations and their applications with help of computer algebra system

  51-68

  Ildikó Perjési-Hámori

  Csaba Sárvári

  Views:

  211

  In this paper, some examples of Fourier series and partial difference equations will be shown to demonstrate opportunities for CAS use in various circumstances. The well-known white-box – black-box teaching-learning techniques and the modularization will be used to allow the use of the same worksheet in different ways.

• Problem-solving in mathematics with the help of computers

  405-422

  András Kovács

  Views:

  117

  One of the most important tasks of the didactics of mathematics is the describing of the process of problem-solving activity and problem-solving thinking. The psychological theories concerning the problem-solving thinking leave the special demand of school subjects out of consideration, and search for connections of universal validity. In this article we attempt to connect an abstract theory of psychology concerning problem-solving thinking and a more practical conception of the problem-solving activity of mathematics, which is based on Polya's idea. In this way we can get a structure of problem-solving, which has scientific bases and at the same time it is useful in computer aided learning. Our result was developed and tested in Hungary so this is suitable especially for the Hungarian conditions of mathematics teaching.

• MRP tasks, critical thinking and intrinsic motivation to proving

  149-168

  Zdenko Takáč

  Views:

  209

  The lack of students' need for proof is often discussed. This is an important topic, on which quite a few others have written ([26], [27], [28], [17], [8]). Nevertheless, there is limited research knowledge about how teacher can participate in process of raising of students' intrinsic motivation to proving. In this article, we discuss relationships between intrinsic motivation to proving, critical thinking and special activity – engaging with so-called MRP tasks. We present here results of a research carried out by author in two elementary schools (21 classes, grade 5-9) in Ruzomberok, Slovakia. We identified the interesting relationship between students' dealing with MRP tasks and increasing of their intrinsic motivation to proving.

• Mechanisms for teaching introductory programming using active learning

  407-421

  Michael Wirth

  Views:

  123

  One of the requirements of teaching introductory programming to students whose branch of learning is engineering or science is bridging the gap between in-class lectures and real-world applications. Traditional passive approaches to lecturing often focus on the syntax of a language with little or no discussion of the process involved in using the language to design algorithms to solve real-world problems. One way of overcoming the limitations of traditional lecturing is by tailoring lectures towards becoming more student-oriented, a pedagogical methodology known as active learning. This paper explores mechanisms for implementing active learning in introductory programming courses in computer science.

• Problems of computer-aided assessment of mathematical knowledge

  41-52

  István Vajda

  Views:

  210

  Although conventional written and oral exams are dominant in assessment nowadays, computer-aided assessment is developing dynamically. There are several assessment systems, but most of them evaluate only multiple choice questions and even the most sophisticated ones cannot follow the process of thinking of students in detail. Why is it? In this article I will analyse the difficulties of the implementation of assessment system focused primarily on mathematics questions and present some of my experience related to the eMax system, developed at Óbuda University.

• Pólya’s influence on (my) research

  161-171

  Benjamin Rott

  Views:

  314

  In this article, I outline the influence of George Pólya's work on research in different areas and especially on mathematics education, namely heuristics and models of the problem-solving process. On a more personal note, I will go into some details regarding Pólya's influence on my own work in mathematical problem solving with a focus on the research project for my PhD thesis.

  Subject Classification: 97xxx