How to optimize the middle school mathematics classroom board design

How to optimize the design of junior high school mathematics classroom board

Homework is a regular practical activity for students to learn mathematics and develop their thinking, and it is an important criterion to test students' mastery of the knowledge they have learned and their application of the knowledge they have acquired, and it is an indispensable and important part of the teaching process. However, for a long time, due to the traditional teaching model of the constraints, the teacher in the arrangement of homework, has always used the textbook configuration of the workbook, little regard for the learning level of students, intelligence, and personality development of the differences in the use of a "one-size-fits-all" approach to allow students to "equalize" to complete the teacher's daily work. All students are given an "across-the-board" approach, allowing them to "equally" complete the homework problems assigned by their teachers every day. As a result, students who are good learners feel "underfed", and students with an average level of learning are difficult to improve, especially those with learning difficulties who "can't eat". Homework often plagiarism, sloppy coping, can not be completed on time, or to buy some matching answers to after-school exercises to copy these phenomena, over time, not interested in learning mathematics, and even produce a boredom or resentment, learning performance can not be improved. Homework can enable students to master the systematic basic knowledge of mathematics, training students' skills, techniques, cultivate students' learning ability, the development of students' intelligence, and its effect has a direct impact on the quality of education and teaching. Therefore, mathematics extracurricular homework should strive to avoid repetition, prevent homogenization, overcome the closed, carefully designed and arranged training content, give full play to the function of mathematics homework. When designing, pay attention to the shallow to deep, gradually improve, highlight the key and key, reasonable with the type of questions, while strengthening the fun and training exercises, hierarchy and comprehensiveness, exploratory and openness, so that students "can fly up", "can run up", "should help a hand up". "The help to help a hand", so that students do carefully designed and arranged homework, not only can actively grasp the mathematical knowledge, and creative thinking can be cultivated and developed.

First, math homework to avoid repetition, pay attention to the fun and training.

In order to arouse students' interest in learning, homework design to get rid of mechanical repetition, boring, tedious rote memorization, no thinking value of the exercise. Homework questions should be "live" a little, "new" a little, "interesting" a little, "strange" a little, through a variety of channels. A variety of channels, the enrichment of knowledge, training and development of creative thinking in the fun, to broaden students' knowledge, so that the vivid and interesting content of the work to replace the repetition of dull mechanical exercises to stimulate students' interest in homework, so that it produces a sense of internal demand for self-conscious initiative to complete the homework. For example, in the form of questions or modules, for all students, suitable for different levels of each student to experience success.

Example, the parabola y = x2 + (2-k) x-2k and x-axis intersected at two points A, B, intersecting the y-axis and point C, the vertex is D.

①When k = , the vertex of the parabola on the y-axis. ② When k= , the vertex of the parabola is on the x-axis.

③When points A and B lie on either side of the origin, the range of values of k is ,

④When k= , the area of △ABD is 4. ⑤When k= , △ABD is a right triangle.

6 When k= , △ABC is a right triangle. ⑦ (Optional) When k= , △ABC is an isosceles triangle. This multi-level homework, not by the number of questions or complex calculations to train students' ability to calculate, but the knowledge melted in the scenario, so that the students according to their own life experience, interests, knowledge mastery, rely on the flexible use of methods to solve practical problems. This form of homework not only achieves the purpose of training, but also stimulates the students' inner intellectual potential and interest in learning mathematics, which better motivates students to accept knowledge and re-create learning.

Second, the math homework to prevent homogenization, highlighting the hierarchy and comprehensiveness.

Teachers should change the shortcomings of monotonous homework, adhere to the theory of difference, find the most recent development area of student learning, design and layout of suitable for different levels of students in the graded homework, so that students are free to choose. In this way, it can effectively stimulate the students' strong desire to learn and win, so that they can do their best, each show their thoughts, and improve the quality of students' work. Graded homework is classified according to the level of student learning, so that students can be based on their own learning level and problem-solving ability, choose to be able to independently complete the homework, and can complete the homework process, undaunted by the difficulties, and strive to higher levels of homework challenges, homework questions designed to do "not the top of the bottom of the bottom of the ceiling," the content of the fixed and not the number of students, so that students of different levels of homework. Uncertainty about the number of students, so that students at different levels in the process of "jumping a jump" each gain, and constantly improve their learning ability, learning to have fun. Realize the reduction of students' excessive burden of coursework and psychological pressure, deeper awakening of students' interest in mathematics learning, and ultimately achieve the full, free and harmonious development of all students, everyone has his or her own gain, and everyone gets to develop. The arrangement and design of graded assignments generally follow the following guidelines for low-level students: low starting point, make up steps, pulling along, and more encouragement: for middle-level students: variations, more thinking, small steps, and more feedback; and for high-level students: more variations, synthesizing, taking the initiative to walk, and promoting competence. Design questions according to the following requirements:

Basic practice questions: the content of the assignment belongs to the most basic knowledge and the most basic skills training related to the knowledge of this lesson. This column of homework comes from the adjustment of the B grade homework (a slight change in the number of topics to reduce the difficulty of the more basic topics can be strengthened training). This type of topic is used in the class of students with learning difficulties, through training, so that students with learning difficulties can eat, learn the most basic knowledge and master the most basic skills. Really reduce the psychological pressure of students with learning difficulties, experience the joy of learning success.

Knowledge expansion questions: the content of the assignment belongs to the training of basic knowledge and basic skills related to the knowledge of this section of the class (including variations, judgment and comparison and general synthesis questions, etc.). This class of homework from the post-course work and the corresponding study guide training questions. This class of homework questions facing the majority of students in the class, through training, so that students master the knowledge of the lesson and related basic skills, to complete the learning objectives, and through a certain amount of thinking training, improve the learning level of students.

Innovative improvement questions: homework questions belong to the intellectual training questions related to the knowledge of the class, improve the questions (which includes a wide range of comprehensive, flexible degree of depth, a strong sense of innovation, etc.), homework from the class and the corresponding study guide training in the asterisk questions or teachers to compile their own supplemental questions. This type of topic faces the students who have the capacity to learn more in the class, and they will complete the A-grade homework on the basis of completing the B-grade homework. Through training, so that students with spare capacity to eat, to achieve practice makes perfect, broaden students' thinking and knowledge. Cultivate the ability to learn to be creative.

Third, math homework to overcome the closed, the pursuit of exploration and openness.

In the past, students were asked to do exercises in the textbook, in order to have good results in the exam, which is a short-sighted behavior. We must liberate students from the "sea of questions" that are not conducive to their development, and carefully design exploratory and open practice questions that reflect the learning of mathematics. Emphasis on the design of extracurricular homework arrangement, the students from too much too indiscriminate homework to free, so that the students homework to fun training, experience success, exploration and innovation, independent choice based on the students' knowledge of homework sublimation, skills in homework mastery, ability to form homework in homework, thinking about homework in the development of the homework. Students' emotions, will, interest, habits, methods, in the weaving of exquisite homework training to be cultivated, students can be independent, lively development.