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Students' mental manipulation of a shape at the early educational level

Ewa SwobodaMałgorzata Zambrowska — 2019

Didactica Mathematicae

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 students, achieved a low degree of solvability, also among students achieving good results in other educational...

Analysis of students’ solutions to geometry questions forming a bundle

Monika CzajkowskaMałgorzata Zambrowska — 2016

Didactica Mathematicae

One of the main goals of mathematical education is to develop the skills for problem solving as well as skills that help carry out mathematical reasoning and argumentation.Geometric problems play here a special role. These require the person solving them to act with an inquiry attitude and a ‘specific vision’. The ‘specific vision’ is the ability one can manipulate with geometric objects in ones’ mind and perceive, separate and focus on the important information only. However, it is not enough to...

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