Mathematical handwritten newspaper
Mathematical handwritten newspaper
Mathematical handwritten newspaper
Mathematical handwritten newspaper
Mathematical handwritten newspaper
Mathematical handwritten newspaper
Mathematical handwritten newspaper
Mathematical Manuscript 1 Curriculum Reform Outline of China's Basic Education clearly points out that in the course implementation, it is necessary to "advocate students' active participation, exploration and development, exchange and cooperation, pay attention to students' learning experience and interest, and change the current situation of over-reliance on textbooks, over-emphasis on learning, rote learning and mechanical training". The focus of curriculum reform is to advocate the learning mode of "independence, inquiry and cooperation", and realistic, interesting and exploratory learning activities are the main forms of students' learning. Now I will talk about some ways to enrich students' mathematics learning methods under the guidance of the new curriculum standard concept, combining my usual mathematics teaching.
First, "say" mathematics in interaction
Monotonous and rigid teaching activities will make students feel boring, what's more, we are facing curious pupils. Therefore, teachers can carry out some games and competitions in teaching, so that students can "learn while playing", practice "speaking" in the competition and develop their thinking ability in "speaking". For example, in the competition of "See who is right and who is fast", let students say that thinking is faster than speed, so that students can be handy and use it freely when applying the nature and laws of computing.
For example, "37+7" requires students to say numbers quickly and describe the calculation process. Students think positively, speak enthusiastically and say several different ideas in succession:
A, divide 37 by 30 and 7, 7 plus 7 equals 14, 14 plus 30 equals 44;
B, divide 37 into 34 and 3, 7 plus 3 equals 10, 10 plus 34 equals 44;
C Divide 7 by 3 and 4, 37 plus 3 equals 40, and 40 plus 4 equals 44.
In a tense and warm atmosphere, the way and speed of everyone's speech are improved in the competition, and the classroom atmosphere is very active. In the training of "speaking", students concentrate on listening, reading and thinking, which not only enlivens the classroom atmosphere, but also cultivates the interest in learning mathematics.
In the usual teaching, the author attaches great importance to let students learn mathematics in interactive middle schools, cooperate and communicate in class, and carry out various group research and learning activities outside class. Middle school students listen, question, persuade and even argue in activities. Sometimes tit for tat, red in the face. Sometimes I will be moved by the wonderful speeches of my colleagues, and I can't help clapping my hands and sharing the joy of success. The open and interactive classroom provides students with a lot of opportunities for cooperation and communication in mathematics learning, allowing them to express their opinions freely, learn to listen to others' opinions, supplement them reasonably, and emphasize timely reflection on their own opinions, so as to achieve a more perfect cognition. "Mathematics is for communication and mathematics is for inquiry" has laid a solid foundation for the successful experience of autonomous learning.
Second, "doing" mathematics in hands-on practice.
For example, the teaching of triangle area:
Teaching:
Teacher: How to find the area of a triangle? Let's do an experiment. Please take out two identical triangular pieces of paper (base paper).
Teacher: Look at the schematic diagram and the direction indicated by the arrow in the book and follow the teacher. After we completely overlap these two pieces of paper, we rotate a piece of paper, then translate it to this position and push it up (follow the teacher while reading). Teacher: This process can be summarized as "coincidence-rotation-translation-push-ups". Let's do it again. (Say "coincidence-rotation-translation-push-ups" again. ) Teacher: Now let's find out what shape these two triangles form. Health: parallelogram. Teacher: What is the relationship between the area of parallelogram and the area of triangle? ……
B teaching:
Teacher: How to find the area of a triangle?
Can we think about it:
1. How do we find the area of a plane figure? Will it help us? 2. What methods have we learned to calculate the area of plane graphics? Will it help us? 3. Try using triangular pieces of paper. If one is difficult, can I use two? (novice operation. ) Teacher: Can you work out the area of a triangle? Who wants to talk? ……
Teacher A's teaching has turned students' hands-on practice into a simple task to carry out teachers' tasks, which is an imitation and copy of books. Students only need hand movements without brain excitement, and its effectiveness will be greatly reduced. Teacher B's teaching embodies the combination of hands-on and brain, because hands-on practice requires a certain thinking space and thinking slope, a positive psychological state of exploration and thinking activities with distinctive personality characteristics.
In our classroom, we should try our best to create opportunities for students to "do" math instead of "listening" math. This requires our teachers to design the process of mathematics teaching into colorful practical activities, so that students can experience mathematical activities such as observation, operation, guessing, reasoning and communication, so that students can fully mobilize their visual and auditory senses in the process of "doing", feel and understand the formation and development of new knowledge, experience the methods and processes of learning mathematics, gain the experience of mathematical knowledge and promote the development of students' personality. In this way, students are in high spirits during the whole process of study and practice, and can quickly enter the role of autonomous learning.
Third, "understanding" mathematics in life situations
For example, when teaching "the sum of two sides of a triangle is greater than the third side", I ask students to choose three sticks from 10 cm, 6 cm, 5 cm and 4 cm to make triangles, and see who makes more triangles. The students took action as soon as they received the task. During the exhibition, some students found that three sticks of 10 cm, 5 cm and 4 cm or three sticks of 10 cm, 6 cm and 4 cm could not form a triangle, and then compared the enclosed with the non-enclosed, and realized that to form a triangle, the sum of any two sides must be greater than the third side.
In the practice of the new curriculum, we can't understand one-sidedly and only use a certain learning method, which makes students' learning experience extremely monotonous and their learning life very poor. We should actively seek the integration of learning methods, so that the goals of knowledge and skills, mathematical thinking, problem solving, emotional attitude and so on can be realized in diversified learning methods and colorful mathematical activities. As a teacher, we should try our best to provide students with a living situation for their mathematics learning activities, provide sufficient opportunities for hands-on operation and cooperative communication for the basic learning content, and let students experience the thinking process of "realistic topics-putting forward mathematical problems-establishing mathematical models-researching or using mathematical methods-solving problems" in person, thus enriching students' mathematics learning methods, cultivating students' innovative ability and practical ability, and cultivating students' all-round, healthy and sustainable development.
Some people describe it this way: Music can stimulate or soothe feelings, painting can make people happy, poetry can touch people's hearts, philosophy can make people gain wisdom, science and technology can improve material life, but mathematics can provide all the above. Let's talk about the beauty of mathematics from one aspect.
Einstein said, "Beauty is simple in essence." He also believes that only with the help of mathematics can we achieve simple aesthetic standards. In mathematics, it is also recognized by most people. Simplicity and simplicity are its external forms. Only simple, delicate and profound can be called the most beautiful. The formula given by Euler: V-E+F = 2 is a model of "simple beauty". In mathematics, there are many theorems with simple form, profound content and great effect, such as Euler formula.
For example:
The circumference formula of a circle: C=2πR
Pythagorean theorem: the sum of squares of two right angles of a right triangle is equal to the square of the hypotenuse.
Average inequality: For any positive number
Sine theorem: the radius r of the circumscribed circle of ABC, then
Concise, effective and economical gives people a sense of beauty, while tedious, bloated and unnecessary consumption gives people the opposite feeling. Mathematics is unwilling to write 1 100 million as 1000000. The beauty of simplicity of mathematics does not mean that the content of mathematics itself is simple, but that the expression form, proof method and theoretical system of mathematics are simple. Such as "1", as small as an atom or particle; As big as the sun, a universe ... everything in the universe can be represented by "1". For example, the circumference and radius in the formula "c = 2π r" have a simple and harmonious relationship, and a legendary number "π" connects them closely.
This concise beauty of mathematics cannot be explained clearly by several theorems. Every progress in the history of mathematics makes the existing theorems more concise. As the great Hilbert once said, "every step of real progress in mathematics is closely related to the discovery of more powerful tools and simpler methods." The beauty of mathematics can be viewed from more angles. Every beauty is not isolated. They are complementary and inseparable. She needs people's heart and wisdom to dig deep in order to better understand her aesthetic value. In life, I hope everyone will stand at another height to discover beauty and reap beauty.