Step 1 sense of order and the cultivation of action logic and ability
The second step is the opening of logical mathematics thinking and the establishment of concepts.
From concrete to abstract, intensive teaching strategies and teaching AIDS
The sense of order in the sensitive period is the ability of logical thinking (when I see the teacher handing out tableware at school, I will also give bowls to my family after I go home). This is the mathematical concept of one-to-one correspondence; Old ladies who haven't read can count)
Children's first year of school is daily and sensory education, and the sensory area is to prepare for mathematics, which hides a lot of mathematical significance.
Logic, mathematics and thinking all start with pairing, classification and sequencing.
Mathematics in foreign countries begins at the age of 4, and it will be earlier in China.
Why do many people have difficulty remembering math instead of speaking language?
Which is more abstract, language or mathematics? Language is also very abstract, but adults will pair words with objects and often talk to children. But math, adults provide the wrong way. Montessori mathematics education will prepare enough physical objects.
The first teaching aid to enter mathematics: red and blue counting sticks, learn to count. Use a specific quantity to calculate and count points. It wouldn't be so difficult.
Characteristics of Montessori Mathematics Education
Feel things through the sensory organs and summarize their attributes (size, depth ...). There are many things, but their attributes are limited.
Powder tower is closely related to the study of large beaded frame.
The pink tower in sensory education is actually a cube concept, and the first row across the beaded frame in mathematics education is a cube. The volume formula is: length? Wide? High, so there are 1000 beads in it.
The brown ladder is an indirect preparation for learning a square, and its lateral area ranges from 10 to 1.
When four groups of cylinders are combined, five groups are the same, which is actually the concept of coordinates. The way of coordinates, the horizontal axis is the diameter and the vertical axis is the height. If you put them all together, you will find that five groups overlap. This is the concept of coordinates.
Cylinders with sleeves can also be used in this way.
Conservation of volume: when the shape changes, the volume remains the same.
The zeroth power of any number is equal to 1
Binomial is derived from the formula of binomial.
First classify by color, different shapes, and then divide by shape.
(a+b)？ =a+3a？ b+3ab？ +b？
The volume of the red cube, assuming the side length is a, then the volume is a? The side length of the cube behind the red is a a b, and B is the side length of the blue cube, so the volume of the red arranged behind is A? B, similarly, what is the volume of the blue all-blue cube? What are the volumes of three blue cuboids? The volume formula of the formula cube is obtained.
Trinomial?
Naming: in the form of a game: three kings are going to have a party, the red king, the blue king and the yellow king. There are two black ministers each, and the minister cannot be higher than the king, so he should be placed at the same height as the king. Each king also brought a pair of fat guards and a pair of thin guards. Then each of them has a name.
Two lines of calculus are equivalent to telling him something, without explanation, and finally taking him to read it again.
decathlon
Just tell him this is its name, and don't tell him how ab came from.
sense of touch
Yes, it is rough and can be reordered, rough and rough.
Weight plate?
Mystery bag
Pressure sensor, spring in the stick.
Children can count and sometimes sing, but they don't know which is bigger, three or four.
For example, carry is not easy for children to understand, and Montessori mathematics uses concrete beads to help children understand.
Look, is there a 10 on this blackboard? There are ten in a hundred, and there are many ten in a hundred. How many/much? count
How many hundreds are there in a thousand miles? It's all specific quantities. Include sum of squares and cube.
Pay attention to the relationship among quantity, number (sound) and number (writing)
Traditional teaching begins with numbers directly.
Quantity represents a kind of physical knowledge, and differences can be found from the appearance characteristics, such as more and less, big and small. Montessori mathematics education first teaches children to feel and distinguish the similarities and differences between new objects. After having a deep and concrete muscle memory, they add symbols recognized by social groups, such as words. This kind of cognition is implemented in experience and life.
Three stages: the first step: naming, the second step: recognition, and the third step: pronunciation.
For printing, try to use handwriting instead of printing (6 and 9).
Sandpaper board trains the correct strokes of numbers.
Attach importance to the concept of "0"
Use different colors to represent the names of different numbers
One digit is green, ten digits are blue, one hundred digits are red, one thousand digits are green, ten thousand digits are blue and one hundred thousand digits are red.
Design of replacing error control in teaching AIDS with correction board and calculus
The error control of cylinder with socket is itself, and the error control of powder tower and brown ladder is the smallest.
Why should there be error control? Ability to learn independently, without the guidance and correction of adults.
Mathematical calculation problems, there is a correcting board to give answers, let him correct and check himself.
The course has a fixed process and its own system. Teaching AIDS demonstrate orderly
Concept of conservation of quantity: building blocks are arranged in two rows, which row do you think is more? Actually, there are many.
Children's mathematics is cross-learning, accumulation, and then outbreak.
The process of mathematics learning is not the answer.
Carefully make a systematic study schedule for children, and each child has his teaching progress.
The sum of squares and cubes are continuous numbers.
Cross-learning of continuous numbers and decimals
Conclusion: Stan Ding: I have never seen any children in Montessori's classroom who don't love mathematics.