I. Overview of the case
"Axisymmetric phenomenon" is the seventh chapter of seventh grade mathematics in Beijing Normal University, and this section is the first section, which plays the role of opening a new lesson. In the teaching content, the main resources in the original textbook are basically retained, and a lively and interesting introduction situation is designed, which will arouse students' interest and stimulate their curiosity by using multimedia images. Students' "mathematical activities" are the main line of this class. The design of paper-cutting and ink-printing experiments provides students with opportunities to fully participate in mathematical activities and express their personal feelings and ideas, so that students can naturally form the concept of this lesson after full perception. As the organizer and guide of knowledge, teachers guide students to actively explore, discover, discuss, communicate and summarize, so that classroom teaching can truly become a rich and vivid mathematical activity in which students participate. Teachers show a large number of life scenes through multimedia courseware, so that students can form an intuitive initial understanding, and through a large number of vivid examples in life, they can lead students into the symmetrical world in graphics, deeply understand the wide application and rich cultural value of symmetry in real life, and make students' understanding of symmetry move from perceptual to rational, from shallow to deep, paving the way for learning abstract symmetrical graphics in the future.
Second, the integration of multimedia courseware and instructional design
(A) the integration of multimedia courseware and the introduction of mathematics courses
The introduction of many mathematics courses begins with abstract content. If we can combine vivid and intuitive pictures and animations and get rich perceptual knowledge from intuition, we can process thinking, establish concepts and master laws on this basis.
Case 1: 1. Enjoy the axisymmetric pictures in life (Figure 1- 1).
Design intention: By appreciating the axisymmetric pictures in life, let
Let the students appreciate and experience the axisymmetric figure, and let them have a good understanding of symmetry first.
A whole perceptual knowledge and a preliminary understanding of symmetry in life.
There are a large number of students who understand the necessity of learning symmetry and developing students.
Aesthetic ability and appreciation ability.
(B) the integration of multimedia courseware and mathematics curriculum inquiry activities
Figure 1- 1 Inquiry activity is a teaching process under the guidance of teachers, with
On the premise of students' autonomous learning and cooperative discussion, based on existing teaching materials.
As the basic exploration content, take the students' surrounding world and life reality as reference.
According to the object, arouse students' enthusiasm, develop students' intelligence, develop students' creative thinking and cultivate their self-study ability. Try to guide students to learn to learn and master scientific methods through self-inquiry, so that students can find problems, ask questions, analyze and solve problems themselves, so as to acquire knowledge and develop their abilities. Mathematical knowledge is abstract and difficult for students to understand, especially in inquiry activities. If you can design related pictures, animations, videos, etc. In the inquiry activities, some abstract knowledge will become simple and clear.
Case 2: Question: (1) What do these figures have in common? (Figure 1-2)
(2) Name some symmetrical features in life.
Object, and communicate with peers.
(3) Can you put the window grilles in the above picture along a straight line?
The line is folded in half so that the parts on both sides of the straight line completely overlap.
Really? Where is the maple leaf?
Case 3:[ Question]: Do sth.
The figure of axisymmetric feature?
1, do the "paper-cutting" activity in the textbook. (The exhibition courseware has corresponding animation) Figure 1-2 ① Fold a piece of paper in half and cut it from the crease.
Draw a picture and think about what it will be like after expansion.
② Observe the pattern, what is the relationship between the parts on both sides of the crease, and communicate with your partner.
2. Do the experiment of printing ink. (Figure 1-3)
①
Drop a few drops of ink on the paper and then fold the paper in half.
Then open it to see if the two ink forms are closed.
Is the crease symmetrical? What is its axis of symmetry?
② Observe, explore and communicate with each other.
3. Observe by analogy and find differences.
(1) Show students several groups of patterns, such as two groups.
Hey, two small footprints, two doors, and so on.
② What do you find by observing each group of patterns? and
Everyone communicates. Conclusion: These two figures form an axis symmetry:
Figure 1-3 Fold a graph along a straight line.
Go, if he can coincide with another character, just say
These two figures form an axis of symmetry, and this straight line is the axis of symmetry.
The difference between an axisymmetric figure and two figures forming an axial symmetry.
Classroom practice of mathematics course is an important part of classroom teaching, a process of forming and consolidating students' mathematical cognitive structure, and a basic activity form of cultivating students' mathematical ability. It is difficult for every student to concentrate from the first minute to the last minute of class. Therefore, it is very necessary to use multimedia to design classroom exercises.
Situation 4: (Figure 1-4, Figure 1-5, Figure 1-6, Figure 1-7)
Figure 1-4 1-5 1-6 1-7
Design intention: By appreciating pictures, national flags, Chinese characters, geometric figures and capital letters in life, we can further understand and master axisymmetric figures and develop students' aesthetic ability, appreciation ability and judgment ability.
Thirdly, reflection on the design of teaching integration.
1. This course mainly adopts experimental discovery method, supplemented by intuitive demonstration teaching method, observation method and inquiry method. Therefore, in teaching methods, students should be organized to explore the characteristics of axisymmetric phenomena through observation, experiments and other mathematical activities as much as possible, and through the design of mathematical problem situations and mathematical activity situations, students' enthusiasm for learning mathematics should be mobilized, their learning motivation and curiosity should be stimulated, and their thinking should be promoted to the best state. Through the use of multimedia intuitive demonstration, students are always in a positive state of actively exploring problems, making mathematics learning interesting, effective, confident and successful.
2. According to the cognitive characteristics of grade seven students, starting from appreciating pictures, the inquiry learning method of feeling, observation, generalization, operation and induction is the main method. When learning and understanding the concept and nature of axial symmetry, students can design axial symmetry patterns by themselves, such as punching, ink, folding, paper cutting and drawing, so as to better understand the contents of this section.
3. Starting from students' reality, create problem situations that are conducive to students' autonomous learning with the help of multimedia courseware, and guide students to acquire mathematical knowledge through practice, thinking, exploration and communication.
4. Based on teaching materials, assisted by multimedia, but not constrained by teaching materials, grasp teaching materials but not bound by them.
5. Experimental activities enable students to truly experience the formation process of mathematical knowledge. Combined with multimedia teaching, the classroom atmosphere becomes lively, allowing students to experience the application process of mathematical knowledge and cultivate their ability to solve practical problems.
Four. Concluding remarks
In a word, the integration of multimedia courseware and instructional design is a comprehensive application of interdisciplinary knowledge. Only by constantly improving personal quality can we integrate this knowledge into our actual teaching, improve teaching quality and cultivate outstanding talents.
References:
[1] Li Yongming
[2] Li Yongming
Axisymmetric phenomenon "Axisymmetric phenomenon in instructional design" courseware Gansu Institute of Education, Basic Curriculum Research Center of Ministry of Education 2012.05438+0 20110.
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