Mathematical intuitive thinking is a way of thinking that people use all their experience and knowledge quickly when analyzing and solving problems. After observing and analyzing the object as a whole, they directly touch the essence of things, make assumptions, and then test or prove the assumptions.
Mainly manifested in the keen insight into mathematical objects, so as to directly guess and grasp the overall situation. Before we find a solution and proof, intuition has helped us to foresee the conclusion or the way to solve the problem. However, at present, middle school mathematics teaching often emphasizes the training of deductive reasoning and strengthens the logic of formal argumentation.
Ignoring the predictive guidance and insight of intuitive thinking in solving problems will lose the intuitive and vivid side of mathematical thinking, which limits the improvement of students' thinking quality to a certain extent and runs counter to the requirements of modern quality education. Therefore, cultivating students' intuitive thinking in middle school is one of the goals of middle school mathematics teaching.
Association and conjecture. Association is a psychological process of recalling another person from the current perception. In mathematical thinking activities, association can communicate the connection between mathematical objects and related knowledge. Associative thinking is a psychological process in which people connect one thing with another according to some connection between things in the process of understanding things.
It is a kind of thinking activity. Associative thinking plays a role as a bridge and link in the process of cognitive activities. For some unknown mathematical knowledge, some unknown mathematical problems can be solved through the connection between known knowledge and unknown knowledge.
In the concrete process of solving mathematical problems, through the analysis of the conditions, graphic characteristics and problem-solving objectives in the problem setting, we associate the known definitions, theorems and rules, and finally find the ideas and methods of solving problems. This paper will study associative thinking in mathematics, including its function and how to cultivate it.