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One of the main views which appears throughout prof. Pawlak's paper is one initially expressed by Anna Zofia Krygowska, the most influential researcher of mathematics education in Poland. According to this view - the teacher and his preparation, and thus the problems of teaching mathematics, are never "ahistorical" (Krygowska, 1981, as quoted by Pawlak, 2019). In other words, the problems...
In this article we present results of research aiming at describing the strategies used by 10-year-old children while solving one geometric task. The research was lead through three different stages. In May 2015 the Educational Research Institute in Poland carried out a survey titled Competences Of Third Grades. One task, related to the domain "the geometric imagination", solved by 199 361...
The article presents the results of research on milestones (significant events, critical points, and crystallizing experiments) in the course of life of outstanding mathematicians and mathematically talented adolescents. The work covers the period of approximately the last 80 years. Four distinct group of mathematicians had received their education and pursued their scientific careers at that time:...
Professor Z. Krygowska in her article, opening the frst issue of the PTM (Polish Mathematical Society) journal Didactics of mathematics (Dydaktyka Matematyki), (Krygowska, 1981) noted that the teacher and his preparation, and thus the problems of teaching mathematics, are never ahistorical. We live here and now, our pupils (students, doctoral students) are immersed in the contemporary time and in...
On September 3-7, 2019, in Krakow, the Jubilee Congress of Polish Mathematicians took place, organized to celebrate the 100th anniversary of the Polish Mathematical Society. The congress became an opportunity to meet mathematicians who are active in the country. Additionally, mathematicians who, for various reasons, went abroad and conduct their activities there, were also present. Finally, the congress...
Mathematics and Music - two dierent aspects of human creativity, seemingly belonging to separate areas: science and humanities. Despite this, there are multiple well-known common elements and analogies between the two. Especially well explored is the use of mathematics in music. The opposite, which is the use of music in mathematics, seems unusual and is rarely discussed, including the educational...
The study presented in this paper is a part of a substantive analysis of different didactical phenomena in relation to several mathematical concepts, conducted at the preparatory stage of a project aimed at investigating substantive and didactical competencies of pre-service teachers of mathematics. What I report here, relates to the exploration of didactical phenomena in relation to the tangent concept...
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