Материалдар / METHODOLOGY OF TEACHING OF THE "TRIGONOMETRY" IN ENGLISH мақаласы

METHODOLOGY OF TEACHING OF THE "TRIGONOMETRY" IN ENGLISH мақаласы

Материал туралы қысқаша түсінік

Тригонометрия тарауын меңгертуде ағылшын тіліндегі оқулықтардың көмегіне жүгініп, оқушылардың тақырыпты қос тілде меңгеруіне көмектесу мақсатында ұсынып отырмын

Сағындық Айжан Серікқызы

Автор материалды ақылы түрде жариялады. Сатылымнан түскен қаражат авторға автоматты түрде аударылады. Толығырақ

07 Қаңтар 2019

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Sagyndyk A.S.

METHODOLOGY OF TEACHING OF THE "TRIGONOMETRY" IN ENGLISH

A new era gives us many opportunities.In the century of the prosperity of science and information; each person will be able to reach the pinnacle of knowledge. To meet the requirements of time, we must strive forward.And of course this advancement can not do without new knowledge. In turn, we get knowledge from the book. Since, out of 10 million books that are published in the world, 85% are published in English and 80% of the connections between computer and man in English, we will need to know an international language that will open all doors to the world of knowledge.Now everything is available. For example, a person can order everything at home; even you can do shopping shopping without leaving home. All the same, we will not be able to list all the Internet opportunities that are subject to the modern man.Learning is the advantageous side of the Internet. Today, everyone can afford distance learning via the Internet. New technologies allow people to unite and share their experience while being at great distances from each other. From it is possible to understand that the modern world to the man, aspiring to new skills, knowledge, everywhere there are possibilities to study. If you have access to the Internet, then you can independently learn the language of the world.In our country from 2016-2017 academic year the subject of English is studied from the first grade. And also in the future it is planned to introduction of the trilingual educating in Kazakhstan schools. In turn, the question arises as to how difficult it will be for children to learn math in English, which is one of the difficult subjects for pupils in school.Mathematics in English for schoolchildren is only a difficult task at first glance, but every child can cope with it! Mathematics in English develops not only logical thinking among schoolchildren, widens vocabulary, teaches to think in English, but also gives children the ability to analyze various life situations. Knowing math is important and useful, but it is doubly more effective to teach it in English.The section "Trigonometry" of the school course of mathematics is the most difficult for students. One of the reasons for this is the insufficient number of program hours devoted to the study of this section, as well as a superficial presentation of some important issues related to the solution of trigonometric equations, the selection and study of roots, the solution of trigonometric inequalities. Considering all this, we offer electronic educational and methodological design for the school on the topic "Trigonometry."We have created an electronic textbook oriented on expanding the basic level of knowledge of the students in mathematics; it is subject-oriented and gives students the opportunity to get acquainted with interesting, non-standard questions of trigonometry, with very common methods for solving trigonometric problems, to test their abilities for mathematics in English. The questions considered in the course are beyond the scope of the mandatory content. At the same time, they closely adjoin the main course. Therefore, this textbook will contribute to the improvement and design of the most important mathematical knowledge and skills provided by the school curriculum, will help evaluate your abilities in mathematics.We examined four main sections:І.Trigonometric functions.ІІ.Trigonometric expressions.ІІІ.Trigonometric equations and systems of equations.ІV. Trigonometric inequalities.With the help of our electronic design students can independently study lectures on these sections and examining examples to solve tasks for independent work.In addition to the main sections in the textbook, students can get acquainted with the terminology on the course "Trigonometry", pass the final testing on the materials studied.And also each student has the opportunity to study the history of trigonometry and the applications of trigonometry in human life.The word "Trigonometry" means from the ancient Greek τρίγωνον - "triangle" and μετρέω "measure," that is, the measurement of triangles.Working with other subject disciplines, exploiting ICT and making sense of mathematics are some of the innovative approaches adopted by schools to enhance the learning of mathematics. In particular a number of the activities presented in the case studies include ideas for how students can apply their knowledge of trigonometry in 3 dimensions. The guide contains guidance on how to plan a compelling learning experience and some strategies for devising and working with rich mathematical activities.The electronic textbook aspects of trigonometry often used in the field of engineering. They include the use of trigonometric ratios, Pythagoras’ theorem and the sine and cosine rules. Comprehensive notes, with clear descriptions, for each resource are provided, together with relevant diagrams and examples. Students wishing to review, and consolidate, their knowledge and understanding of trigonometry will find them useful, as each topic includes a selection of questions to be completed, for which answers are provided.The logic and organization of a mathematical brain helps with problem solving and each of the pages in the electronic textbook deals with trigonometry showing why it is useful and what you can do with it.You will find that use trigonometry in the following areas typically taught in introductory geosciences classes, plus many others:

Mass wasting - Calculating slope steepness, gradients and forces on a hill slope, determining slope stability

Topographic maps - determining compass direction and orienteering, calculating slopes, locating objects and landmarks, calculating the distance to objects far away

Structural geology - measuring the tilting of rocks, determining the location of rocks in the subsurface, making geologic maps.

Oceanography - Describing ocean waves, calculating wind and current direction

Plate tectonics - Measuring the steepness of seduction zones

Seismology - measuring seismic waves, determining the nature of the interior of the Earth through refraction

Reference

Atanasyan L.S. Geometry, 10–11: Textbook for educational institutions / L.S. Atanasyan, V.F. Butuzov, S.B. Kadomtsev and others - Publishing house Enlightenment 2010 y.;

Encyclopedia of a young mathematician, 1987 y.

Yu. V. Pukhnachev, Yu.P. Popov .- "Learn to apply mathematics"

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