Three Dimensions Of Structured Instruction That Point To Deep Learning In Mathematics

The fragmented classroom and superficial teaching still exist in high school mathematics teaching today,which seriously ignore the holistic and structural development of students’ thinking and cognition.Therefore,in the current context of deepening the new curriculum reform,deep learning has become an unstoppable torrent as a new trend in the field of education.If the concept of deep learning is proposed to overcome the limitations of shallow learning,then the three dimensions of "depth","breadth" and "height" derived from the broad "depth" point to "depth","breadth" and "height".The depth teaching of mathematics,which is derived from "depth" in the broad sense,is an inevitable choice to promote deep learning to take root.Deep learning in mathematics is a complex process of knowledge generation,and the author decomposes the process into a structured construction of sinking,expansion and uplifting corresponding to the three dimensions.In the actual teaching process teachers should focus on cultivating students’ awareness of building a multidimensional and multi-level knowledge overall structure in order to help students establish a good holistic and structured concept.This study adopts the literature research method to sort out the existing research results of deep learning,unit teaching and structured teaching,and further analyze them with related teaching and learning theories.On the other hand,they still lack the transfer and application of knowledge,and lack "breadth" and "height".In the teaching of the monotonicity of functions unit,the teacher obviously also shows the lack of awareness of the overall structure of the unit and the lack of accurate positioning of different knowledge points,which makes it impossible for him to rely on a relatively "stable" teaching model and to be able to "dynamically" penetrate various types of knowledge on the basis of this model when facing the learning of different types of knowledge.The author has used the "dynamic" penetration of the learning ideas and methods of various knowledge points.Combined with the above research,the author takes "function monotonicity" and "operation of plane vectors" as examples of two different types of units to construct and explain the meaning of the corresponding three-dimensional unit structured teaching,and uses the case study method and action research method to select We also used case study method and action research method to design a structured instructional design for "monotonicity of functions",and constructed a framework and strategy for the structured instructional design of three-dimensional units for deep learning.