1, students can understand the occurrence and development of basic mathematical concepts and laws, and the relationship between basic mathematical concepts and mathematics and the real world.
2. Be able to logically explain or demonstrate the basic methods and conclusions of mathematics, and analyze and solve simple mathematical problems and practical problems.
3. Be able to explore the mathematical laws contained in natural phenomena or realistic situations and experience the process of "rediscovery" of mathematics.
4. Cultivate critical thinking of questioning and asking difficult questions, form a scientific attitude of seeking truth from facts, initially develop a reasonable and organized thinking quality, and gradually form a rational spirit.
Characteristics of mathematical thinking:
1, Agility: Agility of mathematical thinking is the speed of solving mathematical problems: How to solve a problem from multiple angles? How to choose the best scheme among these methods?
2. Profound: Mathematical thinking tells us to communicate the internal relations between various mathematical problems and their application in reality. Generally speaking, it is the ability to see the essence through phenomena.
3. Flexibility: We can find new factors from known factors and decide the thinking direction with the change of conditions. Reasoning is the embodiment of the flexibility of mathematical thinking.
4. Criticality: The criticality of mathematical thinking makes us boldly explore the unknown, solve more unknown problems and promote the continuous development of society.
5. Commonality: There are countless cases that need to be solved in life, and it is necessary to find the characteristics of these cases and extract them for research and discussion.
6. Broadness: Mathematics is related to the knowledge of various disciplines, and mathematical thinking also serves various disciplines. The broadness of mathematical thinking is not only reflected in the diversity of problem-solving methods, but also in the universality of application.
7. originality: everyone's mathematical thinking is different, and what suits them is the best.