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МЕТОДОЛОГІЧНІ ПІДХОДИ ДО ФОРМУВАННЯ ПРОФЕСІЙНОЇ ГОТОВНОСТІ ВЧИТЕЛЯ МАТЕМАТИКИ ДО ВИКОРИСТАННЯ ЗАСОБІВ КОМП’ЮТЕРНОЇ ВІЗУАЛІЗАЦІЇ МАТЕМАТИЧНИХ ЗНАНЬ

100%

Олена С.

Педагогічні науки: теорія, історія, інноваційні технології

2017

issue 2(66)

131-141

The aim of the article. The article reveals the question of determination of methodological basis of forming of professional readiness of the future mathematics teachers to the use of the tools of computer visualization of mathematical knowledge. Research methods: theoretical (analysis and systematization of philosophical, pedagogical and psychological literature, works of the local and foreign authors, legal documents, teaching materials) and empirical (research and compilation of the national and international teaching experience, observation, introspection) with the help of which effective approaches to teacher training in mathematics are defined. Results. Methodological bases of formation of professional readiness of mathematics teachers to use TCVMK reflect the relationship and interaction of different approaches of general scientific and specifically-scientific methodology in the context of formation of professional readiness of the mathematics teachers for the use of mathematical knowledge computer visualizationtools. Among the existing approaches to preparing teachers of mathematics in the context of formation of their professional readiness to use mathematical knowledge computer visualization tools the author has identified systems approach, activity approach, competence approach, integrated approach and acmeological approach. Conclusions. The systems approach ensures the integrity of the educational process which is characterized by hierarchy and continuity; using of integrated approach promotes the emergence of a new quality of knowledge of informatics and mathematic and technological skills; competence approach is important from the standpoint of practice learning; activity approach ensures activity skills; acmeological approach provides further reflection of our activity and professional activities of colleagues with orientation on individual self-improvement and self-development. The perspectives of further research. The further researches will be directed at defining principles of forming the professional readiness to use computer visualization tools of mathematical knowledge.

ВИКОРИСТАННЯ СКМ MAPLE ДЛЯ ВІЗУАЛІЗАЦІЇ НАБЛИЖЕНИХ РОЗВ’ЯЗКІВ ДИФЕРЕНЦІАЛЬНИХ РІВНЯНЬ ЗА ОДНОКРОКОВИМ МЕТОДОМ ЕЙЛЕРА

63%

Олена С., Володимир Ш.

Педагогічні науки: теорія, історія, інноваційні технології

2017

issue 3(67)

246-257

Purpose. The article deals with the question of visualization of approximate solutions of differential equations by the one-step Euler method in the computer mathematics system MAPLE. Methods: theoretical (analysis and systematization of research literature, works of local and foreign authors, teaching materials in the context of using of instruments SCA MAPLE); empirical (research and summarizing the experience of using SCA MAPLE in the same calculations to solving applied and mathematical problems), on the basis of which effective ways of using computer tools for visualizing SCM MAPLE approximate solutions of differential equations for the one-step method Euler are determined. Results: The importance of mastering the basic ideas of finding solutions of differential equations solvable with respect to the derivative at the level of visualization of integral curves is substantiated. The general formulation of the problem is described, the requirements imposed on the function are given, so that the one-step Euler method is applied. The possibility of using the computer toolkit SCA MAPLE is demonstrated. The importance of a visual approach to the study of numerical methods for solving differential equations and estimating the errors of such approximations is emphasized. Conclusions: MAPLE use specialized package not only simplifies and accelerates cumbersome calculation of the function at the nodes, but also allows you visualizing this approach. This visualization contributes to a better assimilation methods for solving differential equations solved relatively derivative and the formation of mathematical skills to use computer environment in professional activities during other classes of solving mathematical problems. The directions offurther researches are seen in the study of principles of forming professional readiness to use computer visualization tools of mathematical knowledge.

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2 Педагогічні науки: теорія, історія, інноваційні технології

2 2017

2 Олена С.

1 Володимир Ш.

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МЕТОДОЛОГІЧНІ ПІДХОДИ ДО ФОРМУВАННЯ ПРОФЕСІЙНОЇ ГОТОВНОСТІ ВЧИТЕЛЯ МАТЕМАТИКИ ДО ВИКОРИСТАННЯ ЗАСОБІВ КОМП’ЮТЕРНОЇ ВІЗУАЛІЗАЦІЇ МАТЕМАТИЧНИХ ЗНАНЬ

ВИКОРИСТАННЯ СКМ MAPLE ДЛЯ ВІЗУАЛІЗАЦІЇ НАБЛИЖЕНИХ РОЗВ’ЯЗКІВ ДИФЕРЕНЦІАЛЬНИХ РІВНЯНЬ ЗА ОДНОКРОКОВИМ МЕТОДОМ ЕЙЛЕРА