Перегляд за Автор "Hryzun L. E."
Зараз показуємо 1 - 2 з 2
Результатів на сторінці
Налаштування сортування
Документ Computer Models for Polygonal Numbers Investigation and Their Use in Mathematical Education(СумДПУ імені А. С. Макаренка, 2016) Гризун Л. Е.; Hryzun L. E.Urgent needs of society to raise level of mathematical education and falling students’ motivation to learn mathematics as well as insufficient using of its cognitive power in the educational process actualizes necessity to propose relevant didactic mechanisms, to apply computer technologies and make mathematical concepts serve educational purposes. In this context the phenomenon of polygonal numbers represents really bright example of both cognitive resource of math and its application to didactics and real life. According to the aims of the work, there were obtained and represented some relations among flat polygonal numbers based on their properties investigation; binary algebraic operations on the sets of polygonal numbers of various angularity were determined and algebraic properties of the polygonal numbers sets as algebraic systems were investigated; author’s computer models of polygonal numbers were built in GeoGebra environment and the ways in which these and other results might be used in mathematical education were determined.Документ Computer Models Using in Terms of the Realization of Holistic Approach to School Mathematics Learning(СумДПУ імені А. С. Макаренка, 2019) Білоусова Людмила Іванівна; Гризун Л. Е.; Bilousova Liudmyla Ivanivna; Hryzun L. E.Analysis of the problems of contemporary mathematical education reveals necessity of improvements of the learning approaches. Being complicated integrative science, Mathematics nowadays tends to become a bridge between various subject areas, which causes greater importance of deep understanding of mathematical basics. On the other hand, learning Mathematics appears to be really complicated for schoolchildren, as it operates by the system of concepts with high level of abstraction. Formulation of the problem. Thus, according to the studies, it seems to be necessary to implement holistic educational ideas into Mathematics teaching. It can help to form students' concentrated conceptual mathematical knowledge and facilitate their using. However, in order to apply effectively holistic approach we need to arm teachers with proper didactic aids. On balance, computer models development and their implementation for holistic learning of mathematical objects seem to be vital for contemporary education. The aim of the paper is to represent the authors' complex of computer models and their didactic facilities as for the abstract mathematical concepts mastering by schoolchildren. It is also covered the role of the models and recommendations for their classroom using in terms of holistic approach to school Mathematics learning. Materials and methods. Analysis of the number of studies enables us to cover theoretical basics as for the peculiarities of mathematical objects mastering by students, the difficulties which might happen during their learning, and instruments that can facilitate them. During the research, the set of theoretical, empirical, and modelling methods were applied. Theoretical background for the computer models elaboration made comprehensive analysis of the current mathematical curriculum, demands to the final requirements to the pupils' knowledge and skiils, and learning of related subject areas, held by the authors beforehand. In order to meet the main principles of holistic approach to mathematical education it is also necessary to reveal key mathematical objects, establish connections between them, and build chains of proper internal and transdisciplinary links. Results. The results of the theoretical analysis were used at the design of the authors' complex of computer models which can be implemented in terms of the realization of holistic approach to school Mathematics learning. The complex of the computer models embraces some groups of models directed on the facilitating the mastering of a number of abstract mathematical concepts. The process of the models elaboration is covered in the paper as well as the models functionality and didactic support to them. The potential of the elaborated complex of computer models as for their implementation in terms of holistic approach to Mathematics school learning is proved and analyzed. Conclusions. It seems to be relevant to predict positive influence of the computer models implementation on the forming of trainees' holistic system of knowledge and skills. Elaboration of proper methodology of its diagnosing and estimation might be a prospect of our further research.