Research On Teaching Strategies For The Cultivation Of Mathematical Logic Reasoning Ability

Since ancient times,education circles have attached great importance to the cultivation of students' thinking ability.In ancient times," learning without thinking is lost,thinking without learning is perilous ".The teaching goal of developing students' core accomplishment is put forward by compulsory education mathematics curriculum standard(2011 edition)and high school mathematics curriculum standard(2017 edition).The ability of logical reasoning is one of the six core qualities of mathematics and the necessary thinking ability in one's life.It is not only the premise of learning mathematics well,but also the necessary ability to learn other subjects well and deal with daily life problems.Mathematical theorem is the foundation and core of mathematics teaching,the crystallization of mathematical thinking,and plays a very important role in mathematics teaching.The mathematical methods contained therein,such as observation,comparison,analysis,analogy,synthesis,abstraction,generalization,judgment,reasoning and so on,directly affect the way of human thinking.Therefore,it is necessary to explore the teaching strategies to cultivate students' logical reasoning ability in mathematics theorem teaching.On the basis of clarifying the research background,significance,methods and main contents of the research.Through the analysis and collation of relevant literature,we understand the current research situation of logical reasoning ability,general theory of mathematical theorem teaching and teaching method of cultivating students' logical reasoning ability in theorem teaching at home and abroad.Through the definition of core concepts,the research object is clear.Through the combing of relevant theories,such as inductive reasoning ability,analogical reasoning ability,deductive reasoning ability,mathematical theorem and mathematical teaching strategy,constructivism theory,Boria's educational theory and Van Hill's theory,the research direction is clarified from the theoretical level.In order to understand the status quo of mathematics teaching in middle school,this paper makes use of the opportunity of teaching practice to understand the level of mathematical logic reasoning of 158 ninth-grade students in a school in Lhasa and the actual teaching situation of 5mathematics teachers in the middle school of the same school through the investigation of test papers and interviews,and makes a simple analysis of the survey results.The main manifestations are as follows:First,teaching preparation is inadequate.Second,in the process of teaching design,the cultivation of students' mathematical logical reasoning ability can not be accurately implemented to every link of mathematics theorem teaching.Third,ignoring the teaching reflection which is helpful to the improvement of ability,etc.Based on the general educational theory and the problems existing in the actual teaching,this paper puts forward the teaching strategies to cultivate students' mathematical logical reasoning ability in mathematics teaching,including four aspects: the strategy of teaching preparation,the strategy of teaching design,the strategy of teaching implementation and the strategy of teaching reflection.Finally,the teaching cases which embody the teaching viewpoint of this paper are given,and the different teaching designs of the property theorem of circular quadrilateral are briefly analyzed in the same way,so as to clarify that the teaching strategy proposed in this paper is operable.The construction of mathematics teaching strategy is a process of continuous improvement.Only in every link of teaching activities,can we find a way to improve students' logical reasoning ability in theorem teaching and complete the goal of developing students' core accomplishment in mathematics teaching.