The Connotation Characteristics,Value Implications,and Cultivation Strategies of Mathematical Thinking Patterns
Mathematical thinking is a form of thinking activity that involves thinking and solving problems mathematically.Cultivating students'mathematical thinking patterns is the fundamental purpose of mathematics teaching and a necessary requirement for adapting to future social development.The mathematical way of thinking has dual dialectical characteristics such as induction and deduction,progressiveness and flexibility,abstraction and concretization.In the entire process of solving mathematical problems,mathematical thinking methods have three values:transformation and reduction,simplification and optimization,and discovery and creation.To achieve these values,one should adopt metacognitive strategies,use sequencing strategies,and use summarization and integration strategies.