MODERN TEACHING METHODS IN MATHEMATICS WITHIN THE FRAMEWORK OF THE NEW FEDERAL STATE EDUCATIONAL STANDARD (FSES)

СОВРЕМЕННЫЕ МЕТОДИКИ ПРЕПОДАВАНИЯ МАТЕМАТИКИ В РАМКАХ НОВОГО ФГОС

Гончарова Анна Анатольевна

студент, Белгородский государственный национальный исследовательский университет,

РФ, г. Белгород.

ABSTRACT

This article discusses modern teaching methods in mathematics within the framework of the new Federal State Educational Standard (FSES).

The authors emphasize that contemporary education must respond to the challenges of the modern world, and teaching methods in mathematics should be appropriate. They highlight the key changes introduced in the FSES regarding mathematics education.

The article describes new methods and approaches to teaching mathematics, including the active use of information technologies, interactive lessons, problem-solving tasks, and project-based activities. The authors stress the importance of an individual approach to each student, as well as the use of various forms of feedback and self-assessment. Special attention is given to the development of student creativity and critical thinking, as well as the application of interdisciplinary connections for a deeper understanding of mathematical concepts.

In conclusion, the authors summarize and draw conclusions about the necessity of continuously updating teaching methods in mathematics in accordance with the demands of modern education and FSES.

They identify key factors for effective mathematics teaching and provide recommendations for educators on applying innovative methods in their practice. Thus, this article presents an overview of modern teaching methods in mathematics within the framework of the new FSES, highlighting the need for innovation and the active use of modern technologies in the educational process, as well as offering practical recommendations for their application.

АННОТАЦИЯ

В данной статье рассматриваются современные методики преподавания математики в рамках нового Федерального государственного образовательного стандарта (ФГОС).

Авторы статьи обращают внимание на то, что современное образование должно отвечать вызовам современного мира, и методики преподавания математики должны быть соответствующими. Они освещают основные изменения, внесенные в ФГОС в отношении обучения математике.

В статье описываются новые методы и подходы к преподаванию математики, включая активное использование информационных технологий, интерактивные уроки, проблемные задачи и проектную деятельность. Авторы подчеркивают важность индивидуального подхода к каждому ученику, а также использование различных форм обратной связи и самооценки.

Особое внимание в статье уделяется развитию ученического творчества и критического мышления, а также применению межпредметных связей для более глубокого понимания математических концепций.

В заключении авторы статьи подводят итоги и делают выводы о необходимости постоянного обновления методик преподавания математики в соответствии с требованиями современного образования и ФГОС. Они выделяют ключевые факторы эффективного обучения математике и предлагают рекомендации для преподавателей по применению инновационных методик в своей практике.

Таким образом, данная статья представляет обзор современных методик преподавания математики в рамках нового ФГОС, обращает внимание на необходимость инноваций и активного использования современных технологий в образовательном процессе, а также дает рекомендации по их практическому применению.

Keywords: FGOS, methods, techniques, teaching, modern technologies, problem-based learning, problem-based learning, problem-oriented learning.

Ключевые слова: ФГОС, методы, методики, преподавание, современные технологии, проблемное обучение, проблемное обучение, проблемно-ориентированное обучение.

Modern education faces numerous challenges related to the rapidly changing world and the demands for quality knowledge. In this context, the Federal State Educational Standard (FSES) has become the foundation for updating curricula, including in the field of mathematics education. This article examines modern teaching methods in mathematics that meet the requirements of the new FSES, which help develop mathematical thinking and critical perception among students.

The FSES emphasizes the formation of not only knowledge but also skills necessary for a successful life in modern society. In particular, it focuses on:

• Development of critical thinking: students should be able to analyze, compare, and draw conclusions.
• Problem-oriented learning: in mathematics lessons, students face real tasks that require the application of mathematical knowledge.
• Integration of subjects: connecting mathematics with other sciences for a deeper understanding and application of knowledge. Integrated learning involves:

Mathematics is one of the key subjects in the school curriculum. However, over time, new approaches and methods have emerged that help teachers convey material more effectively and develop students' mathematical thinking. With the introduction of the new Federal State Educational Standard (FSES), it is essential to use modern teaching methods in mathematics to implement the curriculum.

One of the approaches that has gained widespread popularity in modern mathematics teaching methods is problem-oriented learning [3]. The main idea of this approach is to present students with real problems that require the application of mathematical skills to solve them. This method helps students realize how mathematics can be applied in real life and develops their critical thinking and problem-solving skills.

Problem-oriented learning involves students working on real tasks that require the application of mathematical skills. This not only develops critical thinking but also helps students see the practical significance of mathematics. For example, students can solve problems related to economics, physics, or engineering, making lessons more interesting and relevant [2].

Another modern method is the use of interactive technologies and online resources. This allows teachers to diversify lessons and make them more engaging for students. Various mathematical programs, games, and tasks enable students to practice their skills in a playful manner, helping them better grasp the material and develop logical thinking. The use of interactive technologies, such as interactive whiteboards, educational platforms, and mathematical applications, enriches the learning process. Teachers can apply games, simulations, and visualizations, making the study of mathematics more exciting [1]. For instance, using geometric programs helps students better understand spatial relationships and properties of figures.

Project-based activities allow students to work in groups on long-term projects that require the application of mathematical knowledge. This fosters teamwork, responsibility, and creativity. Projects can include research, model creation, or solving complex problems, helping students see the practical application of mathematics.

Modern teaching methods emphasize an individual approach to each student. This means that teachers should consider the level of preparedness, interests, and needs of students. The use of various forms of feedback and self-assessment helps students better understand their strengths and weaknesses and work on them [4].

Additionally, the focus in modern mathematics teaching methods shifts from simple memorization of formulas and algorithms to understanding mathematical concepts and studying fundamental ideas and properties. This approach helps students better comprehend mathematics and apply their knowledge in practice [5].

Modern teaching methods in mathematics within the framework of the new FSES aim to develop not only knowledge but also skills necessary for a successful life in the modern world. Problem-oriented learning, the use of interactive technologies, project-based activities, and an individual approach—all these methods contribute to a deeper understanding of mathematics and the development of critical thinking among students. It is important for teachers to actively apply these methods in their practice, making lessons more interesting and effective.

When implementing the working program in accordance with the new FSES, it is crucial to consider and use these modern teaching methods in mathematics. They will help teachers make lessons more engaging and understandable for students, as well as develop their mathematical skills and thinking.

References:

1. Lebedeva, O. N. Modern Teaching Methods in Mathematics in Light of the New FSES. – Moscow: Prosveshchenie, 2018.
2. Kuzmenko, M. V. Problem-Oriented Learning in Mathematics: Theory and Practice. – St. Petersburg: Piter, 2019.
3. Solovyova, O. V. Interactive Technologies in Mathematics Teaching. – Moscow: Drofa, 2017.
4. Nikolaeva, E. I. Teaching Mathematics Based on Understanding and Research. – Moscow: BINOM, 2016.
5. Ovsyannikov, L. D. Psychological and Pedagogical Foundations of Mathematics Teaching. – Moscow: Prosveshchenie, 2015.