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The Application Of Naive Of Mathematical Thinking In High School Math Problem

Posted on:2018-10-17Degree:MasterType:Thesis
Country:ChinaCandidate:S Q LiFull Text:PDF
GTID:2417330548967725Subject:Subject teaching
Abstract/Summary:PDF Full Text Request
Naive of mathematical thinking is a teaching art means.In the bilateral activity of teaching and learning,teachers put out students' learning psychology,cognitive status,background knowledge,experience and learning situation,consciously stand in the students' thinking development area recently perspective and design teaching,with students as early scholars,as strange and familiar by the same,and students' curiosity and thirst for knowledge,and the students think,learn together and progress together,to overcome difficulties,to complete the task of teaching,so as to achieve the same resonance frequency of teacher and student cognition and thinking,teaching and learning to create a fusion.Problem solving is a required course in senior high school mathematics learning.The general high school mathematics curriculum standard(Experiment)emphasizes that senior high school mathematics curriculum should pay attention to training students' good mathematical problem-solving ability.Solving mathematical problems is a necessary condition for learning mathematics well.Mathematics teaching is to make students in mathematics knowledge,mathematical ability,mathematical quality(including non intelligence factors,emotion,will and attitude)to obtain the full development and other aspects,to promote the formation of good character.Problem solving is a powerful means to establish and develop the structure of mathematical knowledge,to form and improve the ability of mathematical thinking,to cultivate and bring up the spirit of innovation,and to achieve the above goal.The problem solving teaching is placed in the central position of mathematics teaching,which is determined by the purpose of mathematics teaching and the meaning of solving problem itself.In solving the problems of teaching,teachers and thinking specifically teachers from the students' existing problem solving experience,cognitive level,thinking characteristics,from the perspective of the students,laying the "why" step,build"unexpected" idea of scaffolding,from the recent development area in the light of its general trend,organization design students to simplify the students easy to understand and problem-solving strategies can effectively grasp,let the students feel like methods such as freely flowing style of writing "ripe" for solving strategies to improve the ability of problem-solving thinking internalization.In this paper,the first senior high school mathematics teachers in Shangshui Senior High School as the research object,using the method of literature research,case analysis and questionnaire investigation method,using the implementation of teaching methods of childish thinking in the teaching of problem solving teaching in senior high school.The conclusions are as follows:1.Mathematics teachers of mathematics problem solving teaching is divided into mathematics teaching preparation,teaching design in mathematics,the three dimensions of mathematics reflective teaching of problem-solving teaching after acceptance of around 0.7,the high degree of recognition.2.The use of childish thinking in mathematics problem solving teaching is not very sufficient.In the preparation of teaching problem solving for preschool teachers is still relatively full,textbook preparation,preparation methods,preparation of students,thinking of how to use the childish thinking of problem solving teaching;but in the classroom teaching,classroom environment,classroom atmosphere,students' ability to understand,accept all kinds of unexpected factors affect the ability of teaching,using the childish thinking in the teaching of the affected;in problem-solving teaching,some teachers on the title topic,and no reflection of problem solving,students only problem problem,problem solving ability and not improved,nor to the development of thinking ability.3.Math problems is the basis of mathematical knowledge,mathematical knowledge is a typical representative,is a specific form of abstract knowledge,is the communication link between mathematics knowledge and mathematics principle,is the key to palace of mathematical knowledge.It bears the mathematics culture,mathematics thought,relates the student to mathematics emotion,the manner,the values.In mathematics teaching,we should pay attention to the use of juvenile thinking to enable students to master the math problems,but also focus on students'all-round development and long-term development,in the problem-solving teaching to stimulate students' interest in learning mathematics,promote the students' creative thinking,cultivating good mathematics accomplishment of students.According to the research results,this paper puts forward the strategies of applying the thinking method of infant thinking to the teaching of problem solving in senior high school:(1)teachers must prepare lessons;(2)to forecast the childish thinking;(3)the discovery process of exposure solution;(4)give full play to the dominant position of students;(5)design problems on guiding students to reflect;(6)to help students summarize the rules of solving;(7)should be based on "through law",both”clever method";(8)to have but not only mode.The innovation of this research is to use the book "how to generalize the static problem solving table of general theory" of G· Polya,the mathematics problem solving teaching process into the following four stages:(1)analysis to understand the questions;(2)to explore the way of solving problem;(3)the implementation process of problem solving;(4)inspection and reflection review stage.According to how childish thinking teaching these four stages are examples of cases showing each stage,and gives the childish thinking teaching design strategies,in order to improve the teaching level of senior high school mathematics,make a little contribution to the development of students' ability of solving problems.
Keywords/Search Tags:infant thinking, mathematical problem solving, problem solving teaching
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