Teacher Dong mentioned in "Multiple Representation, Making Implicit Thinking Explicit" that when teaching "Understanding within 100", he brought a glass bowl with 100 beans from home. The class begins with "How many beans can you catch with one hand", then estimate the beans, count the beans, catch the beans and compare the numbers. After a series of student activities. With the help of 100 Doudou, the class is engaged in learning in interesting activities, and students gradually have a more accurate grasp and judgment in the activities.
In the whole class, with the help of physical counting, students experience learning by comparing abstract numbers with numbers in activities, which makes them feel extremely happy. This is the wisdom classroom, which deserves my deep thought.
Mathematical thoughts and methods are an important part of general principles of mathematics. Consciously infiltrating mathematical ideas and methods in teaching can help students better understand and master mathematical content.
In Highlighting Mathematics and Forming a General Mathematical Model, Mr. Dong talked about the idea of "transformation". Indeed, when learning the area formula, it is particularly important to change ideas. The area calculation formula of parallelogram is in the process of "highlighting mathematics and forming a general mathematical model". Teacher Dong talked about the idea of "conversion", which is especially important when learning the formula of area. The area calculation formula of parallelogram is obtained by converting it into rectangle, and the area calculation formula of triangle and trapezoid is obtained by converting it into parallelogram or rectangle. For a circle, its area formula is obtained by cutting, splicing and transforming into an approximate rectangle.
The mathematical thought of "transformation" will accompany students in the whole process of learning mathematics and affect children's life.
For the problem of planting trees, Mr. Dong refined the mathematical thought of "one-to-one correspondence". Three common mathematical problems, namely "planting at both ends", "planting at both ends" and "planting for a while", should make students understand the corresponding relationship between points and intervals. After teaching "Tree Planting Problem", students should jump out of the framework of "Tree Planting Problem" and look at the problems in life, such as "street lamp problem", "queuing problem", "climbing stairs" and "sawing wood", all of which have the same mathematical structure and contain the mathematical idea of "one-to-one correspondence".
With this mathematical model, the brain will actively mobilize and migrate when encountering such problems in the future, thus achieving analogy.
What kind of thoughts have what kind of emotional attitude, what kind of emotional attitude has what kind of teaching behavior. Teacher Dong's wisdom class will lead me to the road of wisdom. ......