Mathematics curriculum standard puts forward that "everyone should learn valuable mathematics" and points out that students' mathematics learning content should be realistic, meaningful and challenging. Real mathematics is colorful, not a complex number game, it has a real and vivid life background. Mathematics from life is "living" mathematics and meaningful mathematics. Therefore, the design of homework should be linked to the reality of children's lives and be loved by children. In addition, mathematics plays a unique role in improving people's reasoning ability, abstract ability, imagination and creativity. Therefore, in the design of homework, some exploratory and open topics should be introduced according to the age characteristics and knowledge level of students, which is not only conducive to the formation of students' application consciousness and ability, but also enables students to form a psychological situation of active exploration and creation in the process of solving problems. For example, after teaching the "Basic Understanding of Kilogram", the students' homework is: (1) Go to the supermarket to find items weighing 1 kg. (2) Survey: 1 weight of ham sausage, a pack of instant noodles, a bottle of mineral water, a bag of yellow wine, an egg, etc. (3) Let's guess with mom and dad how many peanuts are in 1 kg. Then weigh and count. Another example is the homework after teaching the "percentage application problem": (1) Xiaohong's mother is going to buy 4 kilograms of apples, each kilogram of which is 6.5 yuan. If she buys 5 kilograms or more, she can get a 20% discount. How to buy Xiaohong's mother?
Second, the assignment should be practical.
"Activity is the foundation of knowledge, and wisdom begins with action". Only in the process of activities can students realize the true meaning of mathematics, gradually develop the habit of independent exploration, personal practice, cooperation and exchange, and be brave in innovation, and cultivate students' innovative consciousness and practical ability. The theoretical knowledge that students have learned in class and books can only become vivid if they are combined with rich social practice. Only through your own personal practice can you become rich and profound. Therefore, students' math homework should be active and practical, so that students can experience, feel, explore and apply what they have learned in practical activities and improve their knowledge construction independently.
For example, after learning "How high is a big tree", ask students to measure the height of some tall buildings or buildings near their home, and write down the main data and calculation process. (This question requires students to cooperate with at least two people to find an object that is highly easy to measure under sunlight, put it upright on the ground, measure the length of its shadow, and measure the shadow length of the object to be measured at the same time.
Another example: After learning "Find the surface area of a cube", assign this assignment: "If you need 2 kilograms of paint per square meter of wall, if you repaint the bedroom, will 100 kilograms of paint be enough?" Students should first know how to measure the length, width and height of their bedroom, and then calculate the sum of the areas of their bedroom walls and ceilings. It is best to deduct the area of doors and windows, and then calculate whether 100 kg of paint is enough. )
Through the practical operation of these two questions, students can further understand the application of mathematics in real life, deepen their understanding of the value of mathematics, consolidate their knowledge, develop the depth and breadth of thinking, improve their practical ability and cooperation ability, and fully feel the joy of success in operation practice.
Third, homework should be "operable"
Students will feel happy and tireless when learning anything they are interested in, and the more they learn, the more they love learning. Colorful mathematics provides us with a lot of intuitive and interesting materials. As long as it is carefully designed, it will make the content of math homework interesting. Arrange some production or creative work to achieve "combination of work and creation".
For example, after the teaching of "Triangle Classification", students are arranged to set triangle figures: five sticks with a length of 65,438+00 cm, two sticks with a length of 65,438+05 cm, nine centimeters and 65,438+0 sticks with a length of 65,438+02 cm, and the following triangle figures are set. Then classify the triangles.
1, talk about the function of triangle. Give examples to illustrate which objects are triangles in our daily life and what kind of triangles they are. Think about it: why triangles are so widely used in our real life.
This kind of homework that students are willing to do is conducive to cultivating students' spatial concept and various abilities.
Fourth, pay attention to "reading" in the assigned homework.
The new textbook pays attention to the value of mathematical culture. From the first grade, it is in a vivid, interesting and easy-to-read form, accompanied by "Do you know?" According to the topic, introduce some stories about mathematicians, interesting stories about mathematics, mathematical discoveries, mathematical history knowledge and so on. Through the presentation of these colorful contents, students can understand that the generation and development of mathematical knowledge stems from the needs of human life and enrich their overall understanding of mathematical development. In addition to making full use of the cultural characteristics of new mathematics textbooks in class, students can truly appreciate the cultural value of mathematics, and they can also be assigned various forms of comprehensive homework after class.
For example, arrange students to read some mathematical stories and knowledge, such as stories of mathematicians in newspapers and books such as Primary School Mathematics Newspaper and Times Journal, mathematical fairy tales, mathematical games, mathematical discoveries, mathematical history and so on. Instruct students to write math diary and record the dribs and drabs in mathematics study and life experience; Run a "math tabloid" and write a math paper.
Let students stimulate their enthusiasm for exploration, develop their thinking ability, cultivate their temperament, further feel the cultural value of mathematics, and receive profound humanistic education.
Homework, if students feel happy, and can increase their knowledge and cultivate their ability in happy homework, this is a successful homework, and this is an effective homework.