First, it is no longer limited to textbooks, but combines teaching with practice.
The requirement of the new curriculum standard is to let students start from the reality of life, turn the problems in life into mathematical models, and make reasonable explanations and flexible applications. This is the requirement of the new curriculum standard for mathematics curriculum. Its purpose is to cultivate students' knowledge beyond textbooks, but to strengthen practical operation, make the classroom and society closely combined, and cultivate their ability to solve practical problems in life and study by using mathematical knowledge.
Therefore, practice is an important way to design math homework, so that students can learn and master knowledge through experience, and at the same time use knowledge in practice, so as to use knowledge flexibly.
For example, after teaching the weight unit, students can be arranged to investigate the weight of washing powder, eggs, rice, TV sets and other items; You can also organize activities for students to make an hourly time chart after the teaching of time understanding. After teaching "how to count", students can be designed and guided to count the traffic conditions on the main traffic roads in the city, and it can also provide reference for the traffic bureau to formulate the vehicle diversion plan in the future. ...
This kind of practical homework enables students not only to learn the theoretical knowledge of mathematics itself, but also to cultivate their comprehensive qualities of observation, analysis, communication, innovation and practice.
Second, the subject is three-dimensional, so that the homework is "you and I depend on each other"
Mathematics is not an independent subject, it is closely related to other subjects, which is the main reason why the new curriculum standard emphasizes interdisciplinary learning. The new curriculum standard emphasizes the overall cooperation between courses, so the design of mathematics homework should also start from the perspective of overall cooperation.
For example, when teaching the topic of "the proportion of a number", we can design an overall cooperative homework: "Haw, Haw, Mulan will do the homework. I can't hear the loom, but I hear the woman sigh. " You can ask: (1) Which word appears most frequently? (2) How many times does the word "Ji" appear in this poem? (3) What is the proportion of the word "Ji" in the whole poem? (4) Try to find a poem by yourself. The requirement is that one of the words appears at least 0/6 of the total number of words.
This unique homework design can not only help students to learn mathematics knowledge, but also appreciate the beautiful language and writing in China, so that students can have a multi-angle and wide-ranging three-dimensional broad vision.
Mathematics itself has the characteristics of concreteness, overall cooperation and universality of disciplines. The overall cooperation of mathematical homework design can not be limited to one way. We should grasp the relationship between mathematics and other disciplines from many angles, so that the subject knowledge can be comprehensively used and reorganized, and mathematics homework can become an interesting activity for students to develop their intelligence, learn knowledge and cultivate their sentiments.
Third, highlight the openness of homework, so that students' thinking can be better developed.
The key to the good development of students' thinking is to be able to use knowledge creatively, comprehensively and flexibly, which is very necessary for students to divergent thinking, dare to seek common ground while reserving differences, make bold assumptions, seriously verify and ask various questions. This requires teachers to extract the potential factors contained in knowledge and design them into open-ended homework with divergent thinking reasonably, skillfully and flexibly.
For example, after "percentage" teaching, you can assign homework like this: "There are 47 students in our class. In the reading corner activities organized by all classes in the school, the class committee discussed and decided to buy a book at the price of 5 yuan. Bookstores stipulate that those who buy more than 50 books at one time will get a 15% discount. According to the information given, make your own book purchase plan. " In this way, students' thinking will not be limited to one answer. They can have the following schemes: the first scheme, if the whole class buys 50 copies at a time, the cost that the whole class needs to pay should be 5×85%×47= 199.75 yuan; The second scheme, if students buy it separately, then the whole class will spend 5×47=235 yuan. In this case, scheme 1 is obviously more cost-effective than scheme 2, not only buying three more books, but also leaving 35.25 yuan; Of course, there is a third scheme, that is, buy three more books and resell the remaining three books at a 15% discount, so the whole class has to pay, 5× 85 %× 50-5× 85 %× 3 = 199.75 (yuan); The fourth scheme is to buy three more copies and resell them at the original price, so the whole class needs to pay: 5 × 85% × 50-5 × 3 = 197.5 yuan. It is not difficult to see that the most suitable of the above schemes should belong to the fourth scheme. Of course, it is not excluded that students will come up with other better schemes.
This kind of open homework can not only enable students to exercise their thinking ability in their study, but also enable them to gain a sense of accomplishment and satisfaction in their study. They can also constantly innovate while diverging their thinking and find different solutions from the existing information, so as to find the most efficient solution.
Fourth, broaden the study space and make homework come alive.
As the truth that has been passed down to this day says, "Life and education are interdependent". This is also the case. Mathematics is everywhere in life, and even inexhaustible mathematics education resources are found in life. Therefore, if we can combine theoretical knowledge with practical application and assign homework with students' life as a template, then we can train students to use their learned mathematical knowledge to solve practical problems, consolidate what they have learned, get a broader extension and expansion, and let students experience how knowledge occurs and develops.
For example, before the teaching of interest and interest rate calculation, students can be assigned homework to know what savings are, what are the ways of saving, and how to calculate interest and interest rate. After teaching the surface area calculation of cuboids and cubes, students can be assigned homework and let them go home to make corresponding packaging models according to the design of their own washing machines, color TVs, refrigerators and other household appliances. And exchange their feelings and sentiments after the completion. These feelings can be the feelings of the charm of innovative design, but also the understanding of digital beauty. Students can also collect, sort out and summarize the percentage materials that exist in life after the teaching of "The Meaning of Percent Existence". Of course, these materials are not limited to family life, but can also be found in social life, and let everyone exchange these materials in the form of exhibitions. ...
The life-oriented model of mathematics homework can not only help students consolidate what they have learned in class, but also make their learning space broader, so that they can broaden their horizons and increase their knowledge at the same time.
Improving students' learning style is an important goal put forward by the new curriculum standard, and its starting point lies in constantly enriching the forms of mathematics homework. Teaching is not only an assignment, but also a design assignment. Reform and innovation are simultaneously reflected in the content and form of homework, and mathematics homework is diversified into reality step by step, so that students' homework exercises are no longer boring, boring and single.