A Study On The Evaluation Of Mathematical Reasoning Ability Of Grade Three Students

Mathematical reasoning are students remained essential core of mathematics ability,especially in the current implementation of the compulsory education mathematics curriculum standards(2011 edition)",the reasoning is listed as one of ten core concepts,and in the ordinary high school mathematics curriculum standards(2017 edition)",the logic reasoning is listed as one of the six core literacy,once again stressed the importance of mathematical reasoning ability in mathematics learning.In addition,the current mathematics new round curriculum reform is to foster the core quality as the core,can effectively carry out science pointing at the core of mathematics accomplishment evaluation directly affect the success of curriculum reform,so how to develop the students' ability of mathematical reasoning test research in the new curriculum reform of mathematics problems needed to resolve.The aim of this study is through the third grade students' mathematical reasoning ability level evaluation,for the evaluation of mathematical reasoning ability in mathematics education provides a new research idea,at the same time also for a line of mathematics teachers in the education teaching process,to provide the reference to the evaluation of students' mathematical reasoning ability,thus to play a role in promoting the current junior middle school mathematics teaching.This study mainly adopts literature analysis method,testing method and content analysis method,and takes mathematical reasoning ability as the core to build a relatively comprehensive evaluation system: literature research ? framework construction ? test preparation ?assessment implementation ? result analysis ? result discussion ? conclusion summary,and mainly conducts research on these aspects.Firstly,according to the components of mathematical reasoning ability and the division of the content modules of mathematics teaching materials in junior high school,and referring to relevant theories,the evaluation framework of "four dimensions and multiple levels" of mathematical reasoning ability of junior high school students is constructed.Then the corresponding test questions are compiled according to the evaluation framework,and specific scoring standards are formulated for each test question.After that,feedback information is obtained through the test of a small range of students,and the test questions and scoring standards are modified and improved accordingly,so as to ensure the reliability and validity of the test.Finally is the formal test,according to the actual situation of the students answer,in strict accordance with the "trinity" data rate coding,coding system and Excel statistical software SPSS 18.0 to analyze the results,to determine the third grade studentsoverall level of mathematical reasoning,and the third grade students' mathematical reasoning ability under different dimension level,and the different class type,students of different gender difference analysis,finally according to the results of the analysis put forward reasonable effective teaching Suggestions.Through the analysis and discussion of the test results,the following conclusions are drawn:(1)From the content module dimensions,third grade student number and algebra,graphics and geometric part of the overall level of mathematical reasoning ability has reached the level of the three,and part of statistics and probability between level 2 to level 3,and the third grade students mathematical reasoning by approaching the weak part of sequence is the number and algebra,graphics and geometry,statistics and probability.(2)From the dimension of structure form,the third grade students reasoning part of mathematical reasoning ability level reached level 3,and deductive reasoning in mathematical reasoning ability that some of the whole between level 2 to level 3,the third grade students the mathematical reasoning of reasoning part is stronger than the deductive reasoning.(3)From the perspective of cognitive stage,junior three students are in the stage of reflection and verification in mathematical reasoning.(4)From the level level dimension,the overall level of mathematical reasoning ability of junior three students is basically level 3;The overall performance of junior three students in level1 and level 2 is better than level 3,and there is not much difference between the students in level1 and level 2.(5)From the perspective of difference,there is a significant difference in the performance of mathematical reasoning ability between the students in the key class of junior three and the students in the regular class,and the overall level of mathematical reasoning ability of the students in the key class is significantly higher than that of the students in the regular class.There is no significant difference between male and female students,but female students perform slightly better than male students in mathematical reasoning ability.(6)From the students' actual response situation,the third grade students in mathematical reasoning in the main problems are:(1)the expression is not clear,not standard;(2)problem solving is not detailed enough;(3)wrong use of knowledge,reasoning logic chaos.The reasons are as follows:(1)the basic knowledge is not in place;(2)did not develop a good habit of solving problems;(3)bad attitude towards study.Finally,in view of the above analysis,this study puts forward some advice,hoping to be helpful to junior middle school mathematics teaching.