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• The role of computer in the process of solving of mathematical problems (results of research)

  67-80

  Henryk Kąkol

  Tadeusz Ratusiński

  Views:

  165

  We would like to present results of an almost two years investigations about the role computer in the process of solving of mathematical problems. In these investigations took part 35 students of the secondary school (generalists) in the age 17–19 years. Each of these students solved following problem:
  Find all values of the parameter m so that the function
  f(x) = |mx + 1| − |2x − m| is:
  a) bounded,
  b) bounded only from the bottom,
  c) bounded only from above,
  first without a computer and next with a special computer program. We would like to show results of these researches.

• Forming the concept of parameter with examples of problem solving

  201-215

  Katarzyna Wadoń-Kasprzak

  Views:

  157

  Pupils are encountering difficulties with learning algebra. In order for them to understand algebraic concepts, particularly the concept of parameter it was decided by the teacher of mathematics and Information Technology to integrate the teaching of these two subjects. The aim of this study is to investigate whether, and to what degree, software can be useful in process of forming the concept of parameter. This longitudinal study was conducted in a junior high school (13-16 year old children) using different computer programs.

• Freudenthal fantasy on the bus, an American adaptation

  133-142

  Judit Kerekes

  Tünde Jakab

  Views:

  186

  In the 1960’s two mathematicians, Hans Freudenthal in the Netherlands and Tamás Varga in Hungary, had argued that people learn mathematics by being actively involved and investigating realistic mathematical problems. Their method lives on in today’s teaching and learning through the various components of cooperative and active learning, by taking ownership in learning, and learning through student dialogue. The goal is to create a welcoming classroom atmosphere in which play takes the front seat. One such scenario is visiting various (animal) stations at the zoo by bus (illustrated by pictures). Passengers are getting on and off the bus at each station (illustrated by arrows), which is modeled on the open number line. This adapted and modified action research was carried out with 5-yearl-old children in public schools of Staten Island, NY in 2019.

  Subject Classification: 97D40, 97F20, 97F30