Mathematics is the language with which God wrote the universe.
Galileo Galilei
The study of humanities and hard sciences is quite different, first of all due to the peculiarities of feeding and memorizing the information. Thus, if the humanities can be taught independently, because here the most important thing is memorizing, the regular repetition and assimilation of information, than many of the hard sciences are the most difficult to be understood by you, because the formulas, equations, etc. require the explanations of qualified specialist.
The effectiveness of the learning process depends on the methodological and scientific teacher’s scholarship, activities and efforts of the trainees. Regardless of the peculiarities of the studied science the great importance is in the development of students’ cognitive abilities. Psychologists are constantly working hard to find the most effective methods of teaching aimed at the maximum absorption of the studied materials.
There is a very important rule in the study of mathematics that is based on the fact that any mental activity is a huge system of relations, which includes a variety of knowledge and information. And in this case, the necessary conditions for the development of mind and information assimilation are the knowledge increase in different directions, the maximum diversity of relations between various sections and concepts not only of the course, but also of related subjects.
Studied issues may be associated with the new ones using special “bridges” to new researches, with experience, experiment, different dimensions, constructions, calculations, associations, etc. Such experiments allow students, while remaining within the framework of the usual operations and concepts, to be convinced of the need to conduct special researches and contribute to more effective learning and memorizing of information.
The main indicator of the depth of learning provided educational material is the ability to solve problems and prove theorems. The exact understanding of the linkages and relations between concepts, results and performance is the main evidence that the student actually learned the material and can move on. Until recently, many teachers thought that during the study of hard sciences, the main indicator of successful completion of the program is the knowledge of all data and information, but it is not. The student must not remember all that, but he must understand the material, to be able to work with his own knowledge and to bear in mind a coherent picture and the system.
The actual issue during the mastering hard sciences is about the truth of the inverse dependence. This approach provides the most profound and complete understanding of the studied dependences between the variables, parameters, numbers, formulas, etc. The property can be remembered more strongly if there is a reliance on the relationship and mutual transitions. It is interesting that in this case, trying to find an inverse relationship, students not only perceive and reproduce information, but also use their creativity to realize a lot by themselves, which provides a deeper understanding of the subject, systematic knowledge and the ability to use them in any situation in solving certain problems.
Be sure that learning hard sciences opens many doors in front of you to the most exciting things. This world is incredible! Have luck!
