Inductive thinking:
Inductive thinking is the ability to sum up universal laws from concrete examples. For example, given a series of 1, 3, 5, 7, ..., ask students to infer what the next number is. Ask children to find out the relationship between numbers through specific numbers, and then verify whether this rule conforms to the rest of the numbers. This thinking process is to get the law through inductive thinking, that is, each number is 2 larger than the previous one, then the next number is 9.
2. Inferential thinking: Inferential thinking is the ability to draw conclusions according to known conditions. For example, given an arithmetic series 2, 5, 8, 1 1, ..., how many students do you need to infer the number 10? Students can draw a conclusion through reasoning, each number is 3 larger than the previous one, so the number 10 is 2+3 * (10- 1) = 29.
3. Classified thinking: Classified thinking is the ability to classify things according to certain characteristics or attributes. For example, given a set of numbers 2, 4, 6, 8, 10, let students divide them into odd arrays and even arrays. Students first need to understand the classification conditions given by the topic, that is, divide by parity. Then, by judging the attributes of each number, the numbers 2, 4, 6, 8, 10 are divided into even arrays, and the odd arrays are empty.
4. Abstract thinking: Abstract thinking is the ability to transform specific problems or concepts into abstract forms for thinking. This is very important for solving exam application problems. Through abstract thinking, children can identify the mathematical information in the topic, correctly understand the words and expressions of the topic, and then calculate.
For example, "Xiao Ming had five apples, and Xiao Hong took two of his apples. How many apples does Xiaoming have left now? " Students can use the words "take away" and "remain" to turn the question into a mathematical expression with abstract thinking, that is, 5-2 = 3, and children can get the answer smoothly. Xiaoming has three apples now.
5. Logical thinking: Logical thinking is the ability to reason according to known conditions and logical relationships. "if A > B, b > C, then is A > C established? " Students can draw a conclusion through logical thinking because A > B, B > C, according to transitivity, A >； can be deduced; C.
6. Spatial geometric thinking: Spatial geometric thinking refers to people's ability to understand and describe geometric concepts and relationships such as shape, position, direction, size, similarity and symmetry in space through observation, analysis and reasoning. Children are required to have the ability to perceive, imagine and think about space, so as to carry out geometric reasoning in space and solve geometric problems. For example, "Which of the following floor plans can be stacked into a cube?" There is no paper to fold in the examination room, and you can only imagine it in your mind by your child's spatial geometric thinking.