A good teacher can always find a common language with the student. In this case, learning mathematics will become a fascinating process.
A few tips for the teacher.
1.You can’t punish a child for wrong answers. If the punishment is severe, the student will not be able to do even the simplest task for fear of making a mistake.
Focus on achievements. Let the successful completion of the task bring joy and satisfaction. And difficulties are the desire to act and try.
2.The questions “Why?” and “How?” leave room for reflection for the student. There will be a useful dialogue between the pupil and the teacher. It will help strong pupils to form their point of view on the question, while the weak will be able to understand the material well. Let the child ask all the questions he is interested in.
3.Mathematics is an exact science. You need to understand what happens at each stage of the decision or evidence.
The school mathematics curriculum is based on axioms and definitions. They are the basis for various theorems that help us solve problems.
So do not spare time repeating what you have learned. Stop and take apart anything that raises even the slightest doubt.
Strong knowledge of the basics is the key to successful mastering of new material. You can only learn math by consistently mastering different areas, strengthening the links between them. Then in a head of the schoolboy the harmonious system of knowledge is formed.
- Make sure that the child competently draws up their decisions. Each step must be justified, each theorem – accurately formulated. This will give him confidence in the correctness of his own decisions.
- For effective work, a good teacher should show the child that working with numbers is interesting and exciting.
6.Remembering formulas saves time.
Some formulas are quite simple, so it is easier to remember them than to deduce their basic ones. There may also be errors during the conversion, which certainly leads to wrong final results.
- If a student does not apply some facts from mathematics for a long time, they will surely be forgotten. And after summer holidays teachers often meet the fact that schoolchildren do not remember even elementary theorems.
At school, very little attention is paid to repetition.
Another effective method – combining the tasks of several topics for repetition.
7.There are several types of memory, but each person is individual, and one remembers perfectly by hearing, the other – visually, and the third understands only what he himself will write. It is difficult to memorize formulas in any case.
Every person remembers what he sees, hears, speaks and writes.
All important information should accumulate in one place, where it will be much easier to find. Let it be a notebook – a hint to which it is possible to add printouts, tables and the whole theoretical cards.
Advice to students.
Mathematics is one of the most basic sciences. Without basic mathematical knowledge, one cannot expect to succeed in any other technical field. Without mathematics, you cannot solve physical and chemical problems, write programs and manage complex techniques. So how can you learn mathematics quickly and effectively?
Strive for a higher level of material understanding.
Mathematics has several levels of understanding. As you learn, aim to rise as high as possible:
1.Elementary. Expressed in the ability to solve problems in accordance with the model, to present theory according to the material in the textbook. For this level it is enough to solve several typical problems and to learn firmly what is written in the mathematics textbook.
2.Advanced. Solve the problems which are marked with an asterisk in the textbook? This is an advanced level. Common core math example for students. Elementary knowledge is not enough here anymore, because you will face many small and unobvious problems when performing such tasks.
- Creative. There comes a moment when a student understands the subject so well that there is no need to remember all the formulas and theorems that are mentioned in it. If necessary, the student will derive the formula or prove the theorem himself.
The only way to get to a higher level is through practice. Study the material carefully, try to solve one problem in several ways – and the results will not be long awaited.
Here are some specific methods for students:
1.Go more often to the board. This is very useful: communicating with your teacher is an effective way to learn the topic.
2.When discussing math with other students, focus on expressing your opinion in a competent manner.
- a well-designed solution is the basis for shaping your own style.
4.When solving problems, think aloud: a person speaks slower than he or she thinks, so it is easier for you to notice your own mistakes and inaccuracies.
Advice for parents.
Mathematics, from a psychological point of view, can have many different barriers to the child’s learning:
It is difficult to give this subject if the child is a humanitarian (with a natural propensity for humanities), and mathematics is presented by the teacher in an abstract way, without stimulating the interest of the child, without linking its importance to the creation of the most amazing in the world. It is necessary to try to illuminate the aesthetic and philosophical aspects of mathematics for such a child.
The child’s uncertainty, dependence on someone else’s opinion, makes him experience stress at every new task.
Mathematical tasks force the child to often come across such notions as “required”, “unknown”, “proof”, and others. They all unconsciously activate inner problems, including inner fears.
These are only the main reasons, common. In each case, under the child’s constant mathematical errors, there is an individual psychological problem, often unrelated to intellectual abilities. And any alarm causes the blockage of the mind, resulting in chronic failure in mathematics.
How to help the child. Some tips
Encourage curiosity and initiative, the emergence of new educational requests.
Play didactic 1st grade math games.
Together, read, watch and listen to educational programmes and discuss them.
Experiment, experiment, observe together.
Give the child the opportunity to be “stronger and smarter,” delegate responsibilities in the family, ask for explanations, help, “invite” to object.
Try to encourage reflection and productive activities (e.g., through joint plans, asking “What would you do if you were a school principal, salesperson, bank manager, etc.).
Use any time (going to school, walking, playing, etc.) to solve oral problems, examples, etc.
Pay attention to your child’s account skills
Common core math example that might help:
1.Represent numbers as a sum of two sums of two sums by all possible means:
= 1 + 9, 10 = 2 + 8, 10 = 3 + 7, 10 = 4 + 5, 10 = 5 + 5.
2.Useful exercises: for example, to count as three from 1 to 50 and back, seven from 20 to 100 and back, etc. or to name numbers divisible by three from 1 to 100, or less than 100 (3, 6, 9, 12, 15,…96, 99), divisible by 5, etc.
3.Methods of rational counting:
48 + 19 = 48 + 20 – 1 = 67
73 * 9 = 73 * 10 – 73 = 730 – 73 = 730 – 70 – 3 = 657 or
73 * 9 = 70 * 9 + 3 * 9 = 630 + 27 = 657
4.It is useful to involve life situations: calculate the cost of purchase, what should be the delivery, how much can be bought with the available amount, calculate the cost of tickets, make an estimate of the trip or purchase, etc.