Designing the process of teaching students in construction of flat sections of polyhedrons The relevance of the research topic lies in the fact that the problem of constructing a cross section of
polyhedrons is widely used in architecture and construction, mechanical engineering, cartography and
in many other fields of science and technology. In this article, it is established that when solving prob-
lems involving plotting flat sections of a polyhedron, students perform assignments; apply axioms and
geometric properties; form and develop spatial representations; and develop divergent and algorithmic
thinking, the ability to reason logically, and the ability to make the right arguments and inferences. The
paper presents the simplest construction tasks, which is the basis for the study of this work. The designed
tasks allow the formation and development of divergent and algorithmic thinking, spatial representa-
tions.
The existing system of content components of the future teacher’s readiness for the system of content
components of the readiness of the future mathematics teacher to teach schoolchildren methods of con-
structing sections of polygons has been adapted. The stages of the formation of the readiness of future
mathematics teachers to teach schoolchildren how to construct flat sections of polyhedron are revealed.
A model of the process of forming the professional readiness of future mathematics teachers in teaching
schoolchildren how to construct flat sections of polyhedrons, the development of their thinking abilities,
spatial representations, divergent thinking as an integral system has been built. In the experimental and
pedagogical work on approbation of the model, 31 students took part – the future teacher in mathemat-
ics of the Zhetysu State University named after I. Zhansugurova.
Key words: stages of the learning process, components of readiness, divergent thinking, spatial rep-
resentation, cross-section of polyhedron.
139
Д.Н. Нургабыл, К.С. Нурпеисов
Д.Н. Нұрғабыл
*
, Қ.С. Нұрпейісов
І. Жансүгіров атындағы Жетісу университеті, Қазақстан, Талдықорған қ.
*e-mail: kebek.kz@mail.ru