1, active preview Active preview, not only can you know the content of the class in advance, but also be targeted when listening to the class, and you can also exercise your child's self-learning ability.
Specific methods: read Duncai carefully, learn to read under the guidance of teachers, and preview with teachers' carefully designed thinking questions.
For example, if you teach yourself an example, you should find out what the example is about, what the conditions are, what you want, how to answer it in the book, why you answer it like this, whether there is a new solution and what the steps are.
Grasp these important problems, think with your head, go deep step by step, and learn to use existing knowledge to explore new knowledge independently. Yuanda Xiaozhuangyuan APP can effectively improve children's preview ability.
2. Learning to think "If the height of a cuboid is removed by 2cm, it becomes a cube, and its surface area is reduced by 48cm2. What is the volume of this cube? "
Some students are familiar with formulas, properties and rules. But when they encounter practical problems, they don't know how to apply what they have learned to solve them, such as the above problems.
Although students are familiar with the formula for finding the volume, many students can't figure out the way to solve the problem because the problem involves a wide range of knowledge and requires students to gradually master the thinking method when solving the problem under the guidance of the teacher.
In terms of units, this problem involves length units and area units; Graphically speaking, it involves rectangles, squares, cuboids and cubes; From the relationship of graphic changes: rectangle → square;
In the aspect of thinking and reasoning: cuboid → reduce a part of cuboid to make its bottom square → reduce the area of four faces → find the area of one face → find the length of rectangle (that is, the side length of square) → the volume of cube.
Inspired by the teacher, after the students analyze, they can answer according to their ideas (they can draw pictures).
Some students soon figured it out: if the base length of the original cuboid is x, then 2Xx4 = 48 gives: X=6 (that is, the side length of the cube), so the volume of the cube is 6x6x6=2 16 (cubic centimeter).
Yuanda Small Champion contains the themes of People's Education Edition and Beijing Normal University Edition, which is suitable for students in most areas and can help children improve the amount of brushing questions.
3. Mastering the methods of thinking and solving mathematical problems is generally regular. When solving problems, we should pay attention to summing up the law of solving problems. After solving each exercise, we should pay attention to reviewing the following questions:
(1) What is the most important feature of this problem?
(2) What basic knowledge and graphics are used to solve this problem?
(3) How do you observe, associate and transform this problem to achieve transformation?
(4) What mathematical ideas and methods are used to solve this problem?
(5) Where is the most critical step to solve this problem?
(6) Have you ever done a topic like this? What are the similarities and differences between solutions and ideas?
How many solutions can you find to this problem? Which is the best? Which scheme is the specialty?
Can you sum up under what circumstances? Put this series of questions into every link of solving problems, gradually improve and persevere, so that students' psychological stability and adaptability to solving problems can be continuously improved and their thinking ability can be exercised and developed.
Yuanda Xiaozhuangyuan APP is divided into parent version and student version. With data synchronization, parents can discover their children's learning situation in time.
4. Broaden the thinking of solving problems. In teaching, teachers will often set questions and ask questions to students to inspire them to think more. At this time, students should actively think and expand their thinking, so that the broadness of thinking can be better developed.
For example, a 2400-meter-long canal was built, and 20% was built in five days. According to this calculation, how many days will it take to repair the rest? According to the relationship among total work, work efficiency and working hours, students can list the following formulas:
(1) 2400 ÷ (2400x20% ÷ 5)-5 = 20 (days)
(2) 2400x (1-20%)+(2400x20% ÷ 5) = 20 (days).
The teacher inspired the students to ask, "How many days will it take to repair 20% of them and the rest (1-20%)?" Students quickly think of ways to compare lists:
(3)5x( 1-20%)+20%=20 (days).
If we think from the method of "how many fractions of -m are known and find this number", we can get the following solution:
(4)5+20%-5=20 (days).
Enlighten the students again. Can you answer with proportional knowledge? Students will ask:
(5)20%: (1-20%)=5: X (assuming that the rest will be repaired in x days).
This inspires students to think more, communicate the vertical and horizontal relationship between knowledge, change the method of solving problems, broaden students' thinking and cultivate students' thinking activity.
5. Be good at questioning and asking difficult questions, learning from thinking and thinking from doubt. Students' positive thinking often begins with doubt, and learning to find and ask questions is the key to learning to innovate. Gu Mingyuan, a famous educator, said, "Students who can't ask are not good students." The concept of students in modern education requires: "Students can think independently and have the right to ask questions." To cultivate innovative consciousness and learn to learn, we should start with learning to question.
For example, when learning to "measure the angle" and know the protractor, observe the protractor carefully and ask yourself, "What have I found? What questions can I ask? " By observing and thinking, you may say, "Why are there two semi-circular scales?" "What is the use of internal and external scales?" "Only once more convenient than twice? Why is there a central point? " Wait, different students will put forward different opinions.
When measuring a shape like "V", you may think that it is not necessary to use one of the sides to coincide with the zero scale line of the protractor. In learning, we should be good at finding problems and dare to ask questions, that is, increase the subjective consciousness, dare to express our own views and opinions, stimulate the desire to create, and always maintain a high learning mood.