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principle of gradual growth of difficulty

principle of differentiated reinforcement of knowledge

During programmed training course, material is broken down into small volume, logically complete training dose, after mastering each student is responsible for the control tests. If the correct answer is given, it should be next dose of training. Wrong answer implies the necessity to repeat the training material and a new attempt to answer. Developed a training program can be implemented by computer.

The advantages of programmed instruction include:

  dosage of educational material

independent work of the student

individualization of pace of learning

Control of Learning

Problem-based learning - learning is solving non-standard problems, in which acquires new knowledge and skills. Elements of problem-based learning have been present in the conversations of the Greek philosopher Socrates.

The essence of the problem interpretation of educational material that the teacher does not report knowledge as a finished product , but gives students problem tasks , prompting the search for ways and means to address them . Problematic approach in shaping the professional thinking of students includes:

- to see the issue as a whole and to formulate its own ;

- the ability to hypothesize and find a way to test it ;

-collect data , analyze and process using computers;

-draw a conclusion and see the possibility of practical application of the results.

Important in problem-based learning - is the process of finding and choosing the best solution. The main goal - the development of creative skills , the formation of professional thinking . The greatest efficiency of problem-based approach is realized through the research work of students . Modern High School requires its graduates a high level of professional and scientific training. Therefore , one of the learning environment is not only the development of academic disciplines , but also the scientific work of students, the development of skills in research activities . Of university graduates are required to not only have expertise in the field of special and scientific , but were able to protect their ideas and suggestions , ie they must be sufficiently prepared to independently analyze and summarize scientific facts and phenomena. Solution of the problem means the problem Applied Mathematics comprises the steps of formalization, a mathematical model , interpretation of the results . It is important that students showed high creativity and independence , to find new solutions to problems. Education students research skills - a learning process of scientific knowledge . The essence of a research method I.Y. Lerner defines as the ability to search and organization of creative activity , to address new problems for them . Teacher himself must be creative , to research, scientific work , scientific work does not allow him to lag behind in development, gives him the joy of discovery , science makes his property.

Technology student-centered educational process involves the construction of special educational text, references, guidelines, forms of control in the acquisition of knowledge.

Basic requirements to ensure the development of learner-centered evolving process:

- The nature of the providing of educational material should provide reveal the content of the student learning experiences;




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