Interest in learning is one of the important components of learning motivation and plays an important role in students' learning.

Interest in learning has promoted the development of students' intelligence and achieved great success; At the same time, this pleasant spiritual feeling promotes students' understanding of

Mathematics learning produces greater interest, and the two promote each other, making mathematics learning activities more active and effective, and students' psychology

Quality has been more harmonious development. This paper discusses the characteristics, formation and development of interest and its application in teachers' teaching.

Mitchell's interest in studying structural models. The factors that affect the formation and development of interest are personal needs and years.

Age, personality and ability, the influence of others, groups and regions, etc. How to Cultivate and Stimulate Students' Learning in Mathematics Teaching

Interest is a problem that most math teachers must pay attention to. Teachers should infiltrate the cultivation of students' interest in learning into every teaching.

The learning process runs through the whole process of mathematics teaching.

Keywords: learning interest cognition

Learning interest has a certain influence on mathematics learning. Interest is an important driving force for learning activities and a necessary condition for learning to achieve good results. Mathematics learning is carried out by students according to the requirements and objectives of mathematics teaching plan.

A more lasting process of behavior change caused by experience. Because mathematics has its outstanding characteristics, students are acquiring mathematical knowledge.

Experience also has its special performance and requirements. For example, the re-creativity in mathematics learning is higher than that in other disciplines, and mathematics learning needs

Strong ability of abstraction and generalization. In this way, it is necessary for students to maintain a strong interest in learning mathematics.

The interest in learning mathematics comes from the interest and artistic emotion in the teaching process and from the success and success in the learning process.

A pleasant experience. When students' spirits are excited to carry out mathematics learning activities, students will have a strong thirst for knowledge.

Desire will develop mathematical thinking ability in pursuit and discussion, promote the development of intelligence and achieve greater success; At the same time,

This pleasant spiritual feeling promotes students' greater interest in mathematics learning, promotes each other and makes mathematics learning.

Learning activities are more active and effective, and students' psychological quality is more harmonious.

1. Learning interests and characteristics

1. 1 interest in learning

Interest is the tendency of people to like certain activities or try to understand certain things, which is related to certain emotions.

Interest is generated on the basis of needs, and it is formed and developed in the process of life practice. Students' interest in learning.

A cognitive tendency based on one's learning needs. From the form of expression, learning interest is the need of students.

The important dynamic performance is the reflection of the objective requirements of society and education on students in students' minds; Systematically speaking, learning

Learning interest is a subsystem of learning motivation system. It is the most realistic and positive component of learning motivation, and it is to strive for recognition.

Emotional tendency to know the world and acquire scientific and cultural knowledge.

Research in educational psychology shows that it doesn't matter if the nerve cells related to learning in the brain are in a state of high excitement.

When some of them are in a state of high inhibition, the nerve fiber channels related to learning can be highly unblocked, and the information transmission will be in place during learning.

In the best condition. Once students are interested in mathematical knowledge, they will have great cognitive ability and can concentrate on their studies.

Make the transmission of information reach the best state; On the other hand, if students are forced, distressed, anxious and nervous in their studies, they will

The part of nerve cells that should be inhibited becomes excited, while the part that should be excited is inhibited, thus affecting the learning effect.

1.2 characteristics of interest

1.2. 1 Interest is acquired and developed on the basis of need. People in practice, through the correct

Repeated contact and understanding of something, with the continuous accumulation of relevant knowledge and experience, gradually formed and developed an interest in something.

Fun. Interest in learning can be induced and cultivated.

1.2.2 Interest is directional. Any kind of interest is generated for an event or activity in order to achieve a certain purpose.

People are always fascinated by what they are interested in and actively focus on this kind of activity. The directionality of interest is

Based on need.

1.2.3 Interest is perceptual. In many psychology textbooks and tool books, when defining interest, it is pointed out that interest has

Emotional. Life practice also shows that when people engage in interesting activities, they are always in a happy, satisfied and enthusiastic mood.

Thread state; When a person does a job that he is not interested in, he always feels that he is doing a hard job.

1.2.4 Interest is dynamic. The motivation of interest can be summarized as: (1) supporting a person's activities.

Grasp, promote and promote the role. (2) Prepare for future activities.

1.2.5 Interest is derivative. People's understanding of things is generally expanded on the basis of the old cognitive structure.

Exhibition, and things are often interrelated, so from the old interests often produce new interests.

1.2.6 Interest is stable. The stability of interest refers to the duration of the lower body, which can be maintained according to the length of interest.

Divided into lasting interests and short-term interests. Intuitive interest is a temporary interest, the interest and practicality of mathematical content, and the beauty of mathematics.

The conscious interest and potential interest caused by interest are lasting interests.

2 factors affecting the formation and development of interest

2. 1 Relationship between interests and needs

Piaget pointed out: "Interest is actually an extension of needs, which shows the relationship between objects and needs, because."

Because we are interested in an object because it can meet our needs. "People's needs are diverse,

Interests also vary according to needs. Research shows that people with high cognitive needs generally prefer complex tasks; And the cognitive needs are low.

Important people prefer simple tasks.

2.2 the relationship between interest and age

People of different ages have different interests. The growth of age directly affects the quantity and quality of people's interests.

The research on the change of reading tendency with central significance in interest shows that children of different ages have their own reading interests.

Have the characteristics of. Children aged 9- 13 are the most active readers, and the reading activity rate of teenagers is gradually decreasing. But as we get older,

Growth, the stronger the selectivity, the sharper the sensitivity and understanding, and the quality of reading interest is improving.

2.3 the relationship between interest and personality and ability

People with different personalities have different interests. For example, people with stable emotions have stable interests. In addition, interest is restricted by ability.

When you think the problem is too difficult or too small, it is difficult for individuals to be interested in it.

2.4 Interest is related to the influence of others, collectives and regions.

Students' interests are often influenced by teachers' interests. Personal interests are also influenced by collectives, regions and groups.

2.5 the relationship between interest and gender

From the survey, we can know that interest is often influenced by gender. Tanaka studied in 9 schools in 6 counties and cities of Suzhou, Wuxi and Zhenjiang.

A survey conducted in the third grade counties and cities of the school shows that boys are more interested in math scores than girls, and they claim that they are not interested in math.

There are more boys than girls who hate math.

3 the formation process of interest

At first, children's interests were mainly related to stimulation. First of all, some inherent characteristics of the stimulus itself precede.

Experience can attract attention and interest. Secondly, interesting activities and experiences will also arouse people's interest.

Attention and interest.

To arouse or cultivate a person's interest, we should follow the following two steps: (1) Find out what individuals or groups are interested in at present.

Specific areas and existing levels; (2) directly or through intermediate steps, the activities he wants to engage in are related to his current interests.

Connect.

Zhang Kai and Zhang Biyin put forward the interest theory of "information-goal". According to this theory, the development of individual psychology is based on negation.

Based on information obtained from the environment; When individuals interact with the environment, they hope to get information from the environment to eliminate the original or

The new psychological uncertainty and the psychological process of realizing the formation, evolution and development of psychological goals are interest.

4 the role of interest

Interest plays an important role in students' learning activities. Ushinski, a great Russian educator, pointed out: "There is no interest."

Compulsory learning of interest will stifle students' desire to seek truth. "Educational practice has proved that students are interested in learning itself and learning.

If you are interested in learning subjects, you can stimulate his enthusiasm for learning and make him get good grades in his studies.

Interest plays a preparatory role in future activities, promotes ongoing activities, and has a creative attitude towards activities.

Has a promoting effect. Interest is an important driving force to promote cognitive activities, and it is also an important factor affecting the learning effect.

As the content or direction of people's activities, interest is not fixed. Interest can be cultivated and "implanted"

In a person's character. Due to the directionality and concentration of interest-attention, the interaction between human interest and cognition

It often leads to a persistent and stable interest cognitive tendency. When cognitive tendency is internalized and constantly manifested in individuals

When, show a stable interest and personality tendency.

5 the development law of interest

5. 1 Interest development is gradually deepening.

The development of people's interests generally goes through three stages: fun-fun-interest. What's interesting is the low level of interest development,

It is often the direct interest caused by some new external phenomena. It is short-lived, intuitive and blind.

Sex and universality.

Interest is the intermediate level of interest development, and it is gradually oriented on the basis of interest. At this stage, learning

Students' interests will develop in a specific and in-depth direction, that is, they will have a special interest in an object. The fund are concrete,

The characteristics of spontaneity and persistence.

Interest is the highest level of interest development. It is fun to combine with lofty ideals and lofty goals.

Developed on the basis of. It is characterized by sociality, consciousness, directionality and stronger persistence, even for life.

5.2 Mutual transformation of direct interests and indirect interests

Interest is generally divided into direct interest and indirect interest. Direct interest is the interest arising from the need of the thing itself.

Interest, indirect interest is only important to the future outcome of such things or activities, but not interested in the things themselves. indirect

Interests can be transformed into direct interests under certain conditions. When students encounter slightly simple, easy and interesting knowledge, they will

There will be a direct interest; But once you encounter complex, difficult and boring knowledge, you need indirect interest to keep learning.

Xi。 When students overcome the difficulties in learning through tenacious study, they will have a direct interest in this kind of knowledge.

5.3 Mutual promotion of central interests and broad interests

Central interest refers to a strong and stable interest in a certain aspect of things or activities; A wide range of interests means interest in many aspects.

Interest in things or activities. Broad interests are the basis of central interests.

5.4 Curiosity, thirst for knowledge and interest are closely linked and gradually developed.

Horizontally, curiosity, thirst for knowledge and interest promote and reinforce each other; From a vertical perspective, three

Learners develop in the direction of curiosity-thirst for knowledge-interest.

Curiosity is the psychological tendency of people to explore new things actively, which can be said to be an instinct. Curious children

The period is the strongest. Curiosity is a kind of desire for people to actively explore new knowledge, with a certain emotional color. When I was a teenager

Period is the most vigorous period of thirst for knowledge. If a person's thirst for knowledge is shown repeatedly, it will form someone's desire for something.

Interest in things or activities.

5.5 Interest and effort are inseparable.

Interest and effort can promote each other, not two opposites. Students' learning activities are inseparable from their interest in learning.

It is also inseparable from hard work, interest and hard work constantly promote each other, so that learning can reach the best state.

6 to stimulate and cultivate students' interest in learning mathematics

Mathematics is characterized by abstraction, preciseness and wide application. Xu Dexiong told Jiangshan Middle School, Wuhan Middle School, Jinling Middle School and Pucheng.

A survey of senior three students in No.1 Middle School shows that 45.4% of the students think that the subject with heavy academic burden is mathematics, and 32.8%.

% of the students think that mathematics is the most frequently tested. Therefore, in mathematics teaching, how to cultivate and stimulate students' interest in learning,

It is a problem that the majority of mathematics teachers must attach great importance to, and the cultivation of learning interest should permeate every teaching link.

Run through the whole process of mathematics teaching.

6. 1 Ask students to establish a positive state of psychological preparation.

Teachers should teach students to have positive psychological hints when they encounter things they don't understand in their studies, and encourage students to use one creatively.

Several methods to improve learning interest. Interest can be cultivated by yourself, and the key is to have a positive attitude.

6.2 Help students form correct learning values

Learning values enable students to form clear learning needs and lay the foundation for interest. In teaching, teachers should fill in

Excavate the utilitarian value and spiritual value of teaching content, and deliver it to students in time and accurately to help them form a correct learning purpose.

Clarify the value and significance of learning, so as to awaken students' inner learning impulse and passion and promote the generation of learning interest. study

Learning values stimulate learning motivation and curiosity, and inject power into the in-depth development of interest. Teachers should be good at helping students build

Only by taking scientific and reasonable learning values as the starting point and cultivating students' correct learning concepts and excellent learning quality as the starting point can they prosper.

Interest is rooted in lofty ideals and beliefs and correct values. Only in this way can students form a real and stable.

With a deep and lasting interest in learning, we can really achieve the purpose of promoting learning with interest.

6.3 Improve the teaching level and stimulate students' interest in learning.

6.3. 1 Set the suspension to stimulate interest.

Creating suspense means that teachers set question situations according to the mathematics content of textbooks, which makes students have a strong desire for knowledge and stimulates their interest in learning. For example, when teaching the knowledge of "positive proportion", the teacher asks the students a practical question: Who can measure it?

What is the height of maple trees in our school playground? The students suddenly became interested and argued endlessly, but they couldn't think of any good way. this

At that time, the teacher said to the students, "I have a very simple measurement method." I can measure trees without climbing or cutting them down. "

"The height. The students were in an uproar and had suspense: what method did the teacher use to measure the height of the tree? It is natural to have knowledge.

Desire, students take the initiative to learn from it, full of interest, so as to achieve the expected teaching purpose. Received good results, suspense is also.

Be solved.

6.3.2 Practice Stimulates Interest

In mathematics teaching, students are provided with opportunities and conditions for creative thinking and guided to observe in practice.

In fact, use your mind to gain new knowledge. "Mathematics Curriculum Standard" points out: "Students can realize that mathematics exists in real life.

Live, and widely used in the real world, in order to truly appreciate the application value of mathematics. "Learning mathematics knowledge is for the sake of.

In order to better serve life. Apply knowledge to life, apply what you have learned, and let students fully experience the application value of mathematics.

At the same time, let students experience the endless fun of exploring mathematics when solving mathematical problems in real life, thus forming a long-term

Interest.

6.3.3 Competition arouses interest

In classroom teaching, teachers should pay attention to students' competitive characteristics, give full play to their learning enthusiasm, and provide them with sufficient

Plenty of opportunities to encourage them to compete.

Stimulation of operation

Perception-representation-concept is the process of children's understanding of mathematics, from concrete to abstract, from perceptual to rational. teaching

We should attach importance to students' operation training, stimulate their interest in learning, develop their thinking, and turn abstract knowledge into concrete content.

Make students' understanding rise from perceptual basis to rational understanding.

6.3.5 Evaluation arouses interest

In teaching, students' ability to accept and understand knowledge is not considered. Teachers should use friendly language to evaluate and guide.

Avoid using simple and rude language to dampen students' learning knowledge;

First, stimulate interest with successful evaluation. If students get pi through their own study and practice, teachers will evaluate students and say:

"Pi is an ancient algebra scientist in China. He spent a long time trying to figure it out through repeated experiments, but now you use your own reality.

Surprisingly, Jane also succeeded in solving this problem. I hope that students will study hard and have a successful career since childhood. "

So as to stimulate students' interest in learning.

Second, use induced language to stimulate interest. When individual students encounter difficulties in the learning process, they should be given timely guidance.

Let them jump over and get the fruit. Give them friendly language, such as "try" and "think again", to encourage them to succeed in their studies.

Get interested.

6.3.6 Strengthen intuition and guide hands-on operation.

In classroom teaching, vivid teaching methods such as visual AIDS and projectors can make static mathematics knowledge move.

Modality can not only stimulate students' enthusiasm for learning, but also make students impressed with what they have learned and unforgettable for life. get to work

Operation can effectively stimulate students' interest in learning.

6.4 Establish an equal and harmonious relationship between teachers and students

Education is the art of the soul and should embody the modern consciousness of democracy and equality. Students' interest and enthusiasm in class

The level often depends on the feelings for the teacher. It can be seen that noble love is the channel of teachers and students' hearts and inspires students.

The key to the heart is a road sign to guide students forward. Teachers should not only have personality charm, but also have teaching enthusiasm.

My heart loves students and treats them sincerely. Only by treating students equally can we win their trust. Care about life

They help them in their studies, praise them more and criticize them less in class, and often walk among them and talk to them.

Participate in their activities and serve them, so as to become their bosom friends, especially for students with learning difficulties.

We should pay more attention to them, find out their bright spots and cultivate their self-confidence. Only in this way can we establish an equal and harmonious relationship between teachers and students.

Department, students will be close to the teacher, believe in the teacher's way, learn from the teacher's knowledge and become interested.

6.5 the application of modern teaching methods to cultivate interest in learning

Whether students' cognitive ability will make great progress often depends on whether we can provide a good external condition.

In the past, most teaching was cramming. Teachers only talk and write, students only listen, only remember and only learn knowledge.

Many improvements in understanding and cognition are abstract and vague, which is difficult to really understand, but the application of modern teaching methods is just right.

It makes up for this deficiency very well.

With the development of science and technology, modern media gradually enter the classroom and are widely used in teaching. Applied modern teaching hand

Fragments, such as movies and television, especially multimedia computer-aided teaching, have replaced the blackboard and chalk as teaching AIDS in the past.

Teaching mode can not only improve students' cognitive ability, but also cultivate students' interest in learning, so that students can combine animation, images,

Three-dimensional integration, truly "illustrated", brings students into a relaxed and happy state and has an immersive feeling.

Sense, feel lively and interesting, thus stimulating students' enthusiasm for learning, thus receiving good results.

References:

[1] Note by Chen Zairui and Lu. Psychology of mathematics education. Beijing: Renmin University of China Press, 1995.

[2] Li Hongyu, He Yisu. Learning motivation. Wuhan: Hubei Education Press, 1999.

[3] Li Hongyu, He Yisu. Psychology of learning ability development. Hefei: Anhui Education Press, 2004.

[4] Liu. The art of stimulate interest in learn. Beijing: China Forestry Press, 2004.

[5] Tanaka. Questionnaire survey and analysis on the relationship between junior middle school students' gender and mathematics learning. Bulletin of Mathematics, 2000(6).

[6] Xu Dexiong. Investigation and countermeasures of mathematics academic burden in senior high school. Middle school mathematics teaching reference, 1997(3).