How Do I Choose the Best Math Curriculum?

The key to implementing quality education is to rectify education and teaching ideas, break the shackles of traditional educational concepts, and establish a new quality, education, and student outlook around "all for students, all students, and everything for students". The teacher's education concept determines the teacher's behavior. The change of teacher's education concept is the key to effective classroom teaching. Teachers should establish education concepts: curriculum, mathematics, teaching materials, students, teachers, learning, teaching, process, and evaluation.

Math Quality Class

The so-called high-quality teaching means high-quality, high-efficiency, high-level and high-level teaching. High-quality teaching is our pursuit. High-quality teaching has the following basic characteristics:

I. profound

Those who are deep, see the blood and hit the wood with three points. "In order to successfully complete his task, a teacher should have profound knowledge" (Zankov). Profound means not to understand the textbooks, but to see through and see through, so as to dig out the essence of the textbooks. An idiom is well spoken and easy to understand. The teacher drilled the textbook deep, and realized the truth thoroughly, so it was easy to talk about the lesson, that is, to be able to talk about ideas. It is so-called "a word broken, a word puzzled, a word enlightened, a word passion". A teacher's incisive words often make students linger in their minds and make them unforgettable all the time; a vivid metaphor often makes students grasp the key to knowledge and talk away; a humorous criticism often makes students put down their burdens and be ashamed. No words are too much, and your words are precise; no words are long, and you are in a timely manner; you do nt have to worry about words, but you have spirit when you are expressive. Simplicity is the sister of genius, a symbol of wisdom. A scientist once said that the secret of science is to evolve complex things into simple things to do. The teacher made the class simple. It is really a kind of wisdom, an art, a kind of ability, a kind of kung fu, a level, a state. It is by no means a simplification of teaching, but an artistic and refined It's more efficient. It's like the process of acrobats walking the tightrope. Compared with walking the tightrope, the rough and delicate differences are obvious.

In short, the teachers have studied the textbooks deeply, and since they started the class, they have been eloquent and thought-provoking, so that the students sound relaxed and chewy. Opposite the deep is the superficial, the essence of the superficial is the weakness of wisdom, superficial is like a pot of warm water at 27 degrees, which is not as hot as boiling, nor as cold as bone. Therefore, you should not expect to find unforgettable impressions from superficial teaching.

Unique

A unique person with unique wisdom. Teachers must have insights on teaching materials, be able to see novelty in ordinary, unseen, unseen. In this way, his class is like a poem, a painting, a melody, an invention, a unique creation, and students listening to this class are like enjoying a unique scenery. From a psychological perspective, original insight is actually a creative thinking, and one of the characteristics of this thinking is originality. A foreign writer said: "The first person to describe a woman like a flower is a smart person, and the second one to describe a fool like this again." Pioneering only admits the first, but ignores the second. It refuses to be similar and imitate. Mr. Lu Xun most admires the first person to eat crabs. The second characteristic is originality. Ingenuity is the most precious quality of thinking. Any new insights, new ideas, new theories, and new methods are the products of original thinking. Teachers 'creative teaching comes from teachers' original thinking.

Unique things always give a special and memorable impression. The unique opposite is mediocrity, and mediocrity is characterized by herd. The mediocre person only affirms what others affirm, and only denies what others deny. As for those things that should be affirmed but others are not affirmative, he would definitely not nod. Similarly, he would not take the lead to say no to those things that should be affirmed but others did not. So, in general, what you want to learn from the teachings of the mediocre is futile.

Third, Guangbo

A broad-bodied person with broad knowledge. In his "Advice for Teachers," Sohomlinski said: "The teacher should know ten times more than what he has to say in the classroom, so that he can handle the teaching materials freely. When he arrives in the classroom, You can choose the most important from a lot of facts. "" In the ocean of your scientific knowledge, the basic knowledge in the textbooks you teach to your students should be a drop in the ocean. " Indeed, the teacher should not only be an expert in his subject area, but he should also be a full-fledged person with extensive books. He should be trekking, exploring knowledge, digging deeper, deeper, like a T-shape; horizontally, wide, like a pagoda; vertical and horizontal Combining, building in both directions, accumulating scholarship. In this way, it is possible to articulate the spirit beads, and have the ability to speak with ease. When you talk about the class, you can pick it up, pick it up, pick it up, be interesting, have a unique perspective, and speak well. This will bring a spring breeze to the students and make them look like a picture. Pure, can even smell the fragrant kingdom of knowledge, so that students will linger, and be totally intoxicated. This kind of classroom teaching activity is an artistic exquisite that teachers have accumulated after they have absorbed the rich nutrition of the history of human civilization. It allows students to receive the wonderful effect of "listening to the king and reading ten years".

Opposite to Guangbo is a thin, dry, poorly-knowledgeable teacher who talks at the beginning of the lesson. He is not good at examples and metaphors. He is not good at connecting and associating. He cannot expand and deepen his knowledge. Dullness is the main feature of his classroom teaching.

Fourth, inspiration

Enlightenment is conditional. It is not enlightening to discuss matters in light of the basics. Only when the teacher has deep and unique insights into the textbooks and is familiar with everything he wants to say, is convinced that "make his words come out of my mouth and make them come out of my heart." Only in the classroom did he have the freedom to play an active role, and he was truly flexible, well-pointed, and tempted to make the classroom teaching exude magnetism and charm. This is the real inspiration.

The highest realm of inspiration is spiritual enlightenment. Energetic teachers are good at arousing doubts and confusing, inducing students to explore the unknown fields, leading students into the dilemma of "the mountains and rivers are waterless and doubtless", and then either throwing bricks, drawing finishing touches, or dialing instructions, or nodding visually, or taking Yu Mingli makes the students understand the problem mentally, such as entering the faint realm, suddenly seeing the dark and bright flowers, suddenly bright.

Five, wit

Educational wit is a teacher's ability to respond to changes in teaching practice. Russian educator Ushensky once said: "No matter how the educator studies pedagogy, if he lacks educational tact, he cannot be a good educational practitioner." This is because classroom teaching is a complex People-people systems, it is full of change and problems. No matter how well-designed it is in advance, teachers will always encounter many new "unexpected" teaching problems. If teachers are helpless or mishandled with these problems, classroom teaching will be in trouble or deadlock, and it will even lead to teacher and student problems. confrontation. In the face of occasional problems and unexpected situations, teachers who are rich in educational wisdom and resourcefulness can always be inspired. Wonderful strategies are activated instantly, and they can flexibly implement on-the-spot contingency.

In its essence, educational tact is an art that transforms the contradiction between teachers and students. It is a technique to correctly handle the contradiction between teaching and learning. The key is to avoid its sharpness. To win with wisdom. Expressed in the art of language, it is straight talk, slow talk, hard talk, soft talk, and strict words.

Six, tricks

Famous teachers often have unique skills, which make their teaching icing on the cake.

A teacher's trick is a specialty of teacher teaching. It is the perfection of a certain teaching technique, which is refined to the point of perfection. It is an amazing, even daunting, unmatched state. For example, teachers of mathematics never need compasses and triangle plates, but the geometric figures drawn, especially the moon like fifteen, are not bad; some teachers can wave on the blackboard according to the narrative of the text. Draw lifelike pictures, reproduce the beautiful mood of the text, and amaze the students; some teachers have a dashing, smooth and beautiful blackboard, which makes students envious, copying repeatedly, can't bear to erase; some teachers have humorous and funny words , Often lead students to be able to endure Jun Jun, frequent laughter, let students understand profound philosophy in a brisk atmosphere, step into the hall of knowledge.

We look forward to teaching like this: insightful, insightful, compelling, well-introduced, intelligent, and keep improving. From effective teaching to high-quality teaching, it also means that teachers change from ordinary teachers to excellent teachers; from ordinary teachers to teaching masters; from experienced teachers to expert teachers. Any curriculum reform and teaching reform is a call for outstanding teachers, teaching masters, and expert teachers!

First of all, I will introduce a material.

Case: "Education, don't make students more stupid"

There is a simple problem, but it has stumped many people. This problem is the most popular and most thought-provoking. This is the question that Zhang Dianzhou, a professor at East China Normal University, said on the "21st Century Innovation Education Forum"-"A boat has 75 cows, 32 sheep, how old is the captain? "In France, 64% of the students got the answer: 75-32 = 43 years old. In fact, there is no answer to this question. The reason why students answer this is because they are used to having standard answers to all questions. An American educator therefore commented that this is a typical example of schools that make students more and more stupid. In China's elementary and junior high school tests, more than 90% of the students got this answer, and even in the senior year of a key middle school, some students still got the 43-year-old answer.

Therefore, Professor Zhang strongly appealed at the forum to encourage students to think independently and dare to put forward different opinions. He emphasized: "Creation should start with problems." Li Zhengdao once said that our Chinese tradition is "learning". Why do you always do "learning"? It means that in today's schools, students are required to answer the questions in the test papers, that is, "doing study and answering". However, learning starts with "questioning". Without your own questions, you will never create.

The call for "don't make students more stupid" won the approval, and a professor from the University of Connecticut extended Professor Zhang's speech. The professor Achim Bolt believes that the key to education reform is to change teachers. He said: "To cultivate talents, we must first train teachers. Teachers must continue to improve their education. School management must also be improved. In the classroom, the role of the teacher must be changed. He should be an equal communicator in the classroom." The American professor also excitedly recalled one of the best teachers in his mind. He said: "That is an English teacher. He graduated from Yale University. He encouraged me to develop my personality and told me to dare to accept challenges and to start from Looking at things from different angles, he guided me to open the door to literature and let me appreciate all kinds of great ideas. He is one of the best and happy teachers. "

Can the words of Professor Zhang and Professor Achim Bolt inspire our teachers to become "the most happy teachers", and then the more the students are taught the more intelligent they are?

Establishing an Equal Teacher-Student Relationship in Quality Mathematics

The starting point and purpose of education is human life. The formation, richness, and complexity of the new round of basic education curriculum reform in China have deeply revealed its inherent vitality. The "three dimensions" of the curriculum standards reflect the three unity of life development: the unity of knowledge and ability, the unity of process and method, and the unity of emotional attitude and values. It is in this sense that education must enter the lives of students.

Education is the process of life-to-life communication, as well as the process of autonomous and active development of life. From this point of view, education is to protect human talent, protect human autonomy, protect human creative personality, and protect human integrity. That is to say, education should be based on the characteristics of human life, follow the rules and principles of human life development, promote human life to a more complete, harmonious and infinite realm, and guide human life into a new world of practice, creation and development.

In teaching, we must bring harmonious teacher-student relationships into the classroom. In teaching activities, only by loving, respecting, understanding, and trusting primary school students can we give play to students' initiative and enthusiasm. Teachers should be good at using friendly eyes, subtle movements, kind attitudes, warm praises, etc. to reduce the gap between teachers and students, so that students get spiritual satisfaction. Especially poor students, they should be less critical and encouraged. In order to establish a harmonious and democratic teaching atmosphere, students will have the desire to cooperate with teachers. The pleasant and harmonious classroom atmosphere created by the teacher for the children will inevitably create good psychological conditions for the children, which is conducive to the cultivation of healthy psychological qualities. It is actively advocated in classroom teaching: wrong answers are allowed to be re-answered; incomplete answers are allowed to be supplemented; unresolved is allowed to be re-thought; unclear is allowed to be questioned; disagreements are allowed to be disputed; teachers are allowed to supplement when wrong; Students are free to express their opinions without raising their hands. Students are encouraged to dare to ask questions, be good at asking valuable questions, and be able to solve all kinds of problems, especially many practical problems. Let students be trained since childhood to use different methods to solve different problems under different conditions, thereby effectively promoting the development of students' creative ability and the cultivation of subjective spirit.

Well-designed blackboard for math quality

It is a written language. In the teaching process, the texts and symbols written by the teacher on the blackboard, the geometric shapes and sketches drawn by the teacher, as well as the notes and wall charts that are required to meet the teaching needs are all written on the blackboard. It is an organic part of classroom teaching, which complements and complements the teacher's spoken language, performing its own duties and doing its best. The successful blackboard writing was carefully conceived by teachers combining teaching content with the actual situation of teaching. Some are concise, like a miniature lesson plan; others are clear, showing the formation and derivation of concepts, rules, formulas, laws, and properties, and analyzing the relationship between quantities, at a glance, easy to understand and remember; some finishing touches, Reveal the law, highlight the key points, and leave a deep impression. Note on the blackboard: (1) Pay attention to the integrity of the contents of the blackboard. (2) Pay attention to the generality of the contents of the blackboard. (3) Pay attention to the organization of the contents of the blackboard. (4) Pay attention to the intuitiveness of the contents of the blackboard. (5) Pay attention to the planning in the content of the blackboard.

Combining high-quality mathematics teaching with education

Promoting the comprehensive development of students in terms of knowledge, ability and ideology is not only another essential feature of quality education, but also a core task of it. Learning to be a person is the foundation of building a harmonious society.

Primary school is the first stage of implementing compulsory education, and it is the foundation project to promote the comprehensive development of human psychology. Throughout the elementary school, the mastery of mathematics knowledge, the cultivation of mathematics ability, the heavy burden of schoolwork, and the development of psychological quality all directly affect the overall development of their personality and have a profound impact on their lives.

Strengthen the awareness of teaching and educating people

Teachers must fully understand the importance of teaching and educating people, understand the connotation of ideological and moral education, and consciously and purposefully combine ideological and moral education with mathematical teaching.

First of all, teachers should enhance the consciousness of moral education and moral education in mathematics teaching. Secondly, the factors of spiritual quality education in primary school mathematics textbooks are deeply explored, and the content and requirements of education are clarified. Primary school mathematics textbook, as a comprehensive carrier integrating knowledge transmission, ability training and ideological and moral education, has its own educational function to promote the all-round development of students. Teachers can combine relevant content of teaching materials, timely select educationally meaningful, vivid illustrations, persuasive data and statistical materials, and the fine traditions in the history of mathematics in China, so that students are loved by the motherland, socialism, and science Education. For example, China has a vast territory, with an east-west distance of about 5,000 kilometers, a north-south distance of about 5,500 kilometers, and a territorial area of about 9.6 million square kilometers. Our Yangtze River is the third largest river in the world, with a length of 6,300 kilometers. When speaking about "perceived percentages", I quoted data such as: "The Chinese people use 7% of the world's arable land to feed more than 21% of the world's population." The simple two percentages naturally carried out the national conditions. Education, population education. You can also introduce Zu Chongzhi's calculation of pi between 3.1415926 and 3.1415927 1500 years ago, 1,000 years earlier than Europe, so as to enhance students' national pride and self-confidence, and to carry out patriotic education.

Education penetrating dialectical materialism

Since the generation and development of numbers depend on people's practical activities, some concepts and calculation methods in mathematics are closely related to practice. The formation of mathematical concepts is not only due to the quantitative nature of the objective world itself, but also depends on people's measurement and measurement. , Measurement and operation practice, therefore, in the concept teaching, it is closely connected with reality and infiltrates some "practice first" ideas to students. For example, the teacher consciously prompts the connections of addition and subtraction, multiplication and division, product and quotient, positive and negative proportions, equality and inequality, decomposition and composition, etc., or allows students to discover and infiltrate the contradictory unified viewpoints; By guiding students to discover the interrelationships between concepts, formulas, geometric figures, quantities and quantities, ratios and divisions and fractions, and permeating the point of view of the interconnection between things; , "Multiple solutions to one problem", "Multiple solutions to one problem", "Multiple solutions to one problem" and other training, penetrate the perspective of things movement, change, and development.

develop good study habits

In combination with classroom teaching, teachers should purposefully and consciously cultivate students' serious study attitudes, independent thinking, and the spirit of fearlessness, and develop careful calculation, serious thinking, neat writing, inspection meticulous, attentive listening, methodical questions, and lessons. Good study habits of self-conscious preview, active participation in class, and timely review after class.