We followed the following three principles when designing:
1. Strengthen practice and jump out of homework.
The new curriculum standard points out that mathematics curriculum should follow students' psychological laws of learning mathematics, and emphasizes that students should experience the process of abstracting practical problems into mathematical models and explaining and applying them from their existing life experiences. To this end, we designed an innovative percentage application homework, which allows students to collect and sort out the percentage information in their lives extensively, and then tell the specific meaning of these percentages, so that students can think and discuss: Why do people like to use percentages in their lives? This can not only improve students' desire for independent inquiry learning, but also help students to deeply understand the meaning of percentage and feel the application value of percentage in life.
2. Three-dimensional integration, step into the homework "You have me"
The new curriculum standard pays attention to the connection of knowledge before and after, emphasizes the overall knowledge structure of mathematics and emphasizes the integration of knowledge points. Therefore, the design of math homework should also consider integration. Therefore, after learning the fractional multiplication and division method, we designed an innovative homework to sort out and review the application problems of fractional multiplication and division method.
In this innovative assignment, students can have many choices: (1) practice finding the key sentences and the first unit in the topic; (2) Students make their own questions, try to solve them themselves, and write down the analysis process, problem-solving ideas and problem-solving process; Because solving problems by multiplication and division is the key and difficult point in the application of fractional multiplication and division, students can consolidate and improve this problem when completing this innovative homework.
3. Diversified students' thinking, towards the truth, reality and beauty of mathematics.
After learning the unit of circle, we designed an innovative homework, which allowed students to make innovative designs on the basis of drawing circles with compasses, draw figures composed of circles or semicircles with the knowledge of compasses, rotation and axial symmetry, expand the rotation from a fixed angle to any angle, creatively create various circles, beautify life with colors, and feel that life is colorful.
Disadvantages:
Our shortcomings are: the sixth grade students are seriously polarized. Good students like to do innovative math homework, and they can also be satisfied and improved from the practical activities of completing innovative homework. However, it is still difficult for a small number of students to complete ordinary homework, and it is even more difficult to complete innovative homework. How to arrange innovative homework in layers is a problem we will explore.