1, abstract thinking: the essence of mathematics lies in abstraction, that is, extracting abstract concepts or laws from concrete things. This way of thinking can help us understand complex phenomena and simplify them into a more manageable form.
2. Logical thinking: Mathematics is a rigorous discipline and needs to follow certain logical rules. Logical thinking helps us to deduce unknown conclusions according to known conditions, thus solving problems.
3. Thinking in images: Many problems in mathematics can be solved by images. Thinking in images can help us intuitively understand abstract mathematical concepts and problems. For example, in geometry, we often use graphics to solve problems related to shape, size and position.
4. Symbolic thinking: Symbolic language in mathematics is a simple and clear expression. Symbolic thinking can help us express mathematical concepts and problems accurately and concisely, and improve the efficiency of solving problems.
5. Model thinking: Mathematical model is an important tool to solve practical problems. Model thinking can help us to transform practical problems into mathematical models, so as to better understand and solve practical problems. For example, in statistics, we use mathematical models to describe the distribution and laws of data.
Methods of cultivating basic mathematical thinking;
1. Mastering the basic knowledge of mathematics, including basic concepts, theorems and formulas, is the basis for cultivating the basic thinking of mathematics. Only when we have a deep understanding of the basic knowledge can we better use them to solve practical problems.
2. To cultivate the basic thinking of mathematics, you need to learn to ask and question. Learn to think from multiple angles when encountering problems, and question the rationality of the questions and the correctness of the answers. This helps to exercise our logical reasoning ability and critical thinking.
3. The basic thinking of mathematics needs to be exercised in practical operation. By solving practical problems, participating in mathematical competitions or exploring independently, we can combine theoretical knowledge with actual situations and better understand and apply mathematical knowledge.
4. Establishing the wrong problem set can help us find our own shortcomings better and exercise our basic thinking in mathematics. By recording the wrong questions and the reasons for the wrong questions, we can constantly reflect on and summarize the experience and lessons, so as to cultivate a more rigorous and meticulous mathematical thinking mode.
When encountering difficulties or problems, we can seek help and cooperation. Communicating and discussing with classmates, teachers or others can help us broaden our thinking and learn from others' methods and experiences, thus better exercising our basic mathematical thinking.