Child-centered. Oppose the adult-centered teaching concept and regard children as independent individuals different from adults.

Education without teaching. Oppose cramming teaching, advocate starting with daily life training, with a good learning environment and rich teaching AIDS, let children learn spontaneously and actively, and build a perfect personality by themselves.

Children develop the concept of number and its calculation ability through learning; Develop mathematical logical thinking ability; Cultivate the ability to understand things as a whole; Develop the ability of abstraction, imagination, understanding and judgment.

main content

1. Basic principles: giving priority to sensory education, teaching names in three stages and correcting errors;

2. Conceptual characteristics of number: it is divided into the concept of attaching importance to number, the relationship between several names and number, and the concept of zero, and the comprehensive decomposition is based on "10";

3. Decimal features: gold beads, digital cards and exchange games;

4. Progressive characteristics: from specific operation to mental arithmetic, from basic concepts to mastery.

fundamental principle

Part one: Sensory-based education.

Through personal sensory organs, through pairing, sorting, classification and other ways, let children concentrate, master the abstract elements and relationships of teaching AIDS, and cultivate logical thinking attitude.

Part II: Three stages of name teaching.

Children learn new things every day. What method can be simple and easy? Montessori divided name learning into three stages: for example, knowing graphics.

The first stage-be worthy of the name.

Let the children hear the clear and accurate name introduction. If this is a triangle and this is a circle,

The second stage-find the figure corresponding to the name.

To confirm whether the child can match the name with the object, ask the child: Where is the circle? Where is the triangle?

The third stage-remember names and numbers

To confirm whether the child remembers the name, you can ask the child, "What is this number?"

The third part: the method of error correction.

The error correction in Montessori's mathematics education is different from that in sensory education, and the function of prompting is realized in the form of "checking calculation" or "correcting table".

For example, multiplication boards include multiplication correction boards and multiplication mental arithmetic boards.

Take the topic 4×3= 12 as an example. After doing the problem on the multiplication board, find 4×3= 12 on the error correction board to test the answer. Find the blue number 4, the red number 3, and the intersection point 12 on the eccentric calculation board, which is the corresponding answer of 4×3.

Characteristics of the concept of numbers

The first part: the relationship between quantity, number and number.

Montessori's mathematics learning generally begins with the perception of quantity, then goes to quantity and number, and then to quantity, number and number. Take the number of bars as an example: according to the advanced order of the number of bars, first practice the name of the bar, then recognize the number, and finally combine the number with the bar, first decompose and then integrate, step by step.

Part II: Focus on the concept of zero.

"0" is an abstract concept, and it is not easy to understand this abstract concept, especially if you get the "0" card, you will not get the real thing. Montessori designs teaching AIDS and games to help children learn.

For example, there is a number 0 on the headstock, which is here to help children understand that "0" means no.

Use the game of "0" to make children understand that they can't take the real thing if they get the card of "0".

Part III: Synthetic decomposition is based on "10"

Here, the benchmark of synthetic decomposition is determined as "10" instead of "5".

For example:

Synthesis of several "10": Based on 10, what is the combination of 9 and several numbers? All the way to 5 in turn, several forms 10.

Decimal arithmetic mechanism

The first part: Jin Zhu:

Include beads, beads, sheets and blocks.

Want to know what these beads can do? Montessori uses golden beads to let children perceive decimals on the basis of intuition, concreteness and image.

Part II: Digital Card

Montessori's digital card is very distinctive:

Digital design

The size of the digital card is designed according to the number of digits, which is convenient for classification. It can be used singly or overlapped to form a carry relationship.

colourway

If three colors are used to distinguish numbers, one digit is green, ten digits are blue, one hundred digits are red and one thousand digits are green. Cards are different in size and easy to remember.