Research On The Cultivation Of Mathematical Problem Solving Ability Based On Intuitive Imagination Literacy

This study to the "ordinary high school mathematics curriculum standards(2017 editio n,revised in 2020)"(hereafter the "curriculum" for short)put forward the cultivation of high school students six core literacy of intuitive imagination core literacy in a s a research starting point,the high three students as the research object,through explori ng high three students on high school vector subject problem situation,on the basis of culti vating high school students intuitive imagination literacy,improve the ability of high schoo l mathematics problem-solving teaching Suggestionsare put forward.The following questions are mainly studied: 1.What characteristics and levels of visual i magination literacy do high school students show in solving vector problems?2.Reasons for h igh school students’ problem solving obstacles in vector problem solving and teaching suggest ions on students’ mathematical problem solving ability based on the cultivation of intuitive im agination literacy.First determined by related literature status of high school mathematics problem-solving ability,visualize the current situation of literacy cultivation,and high school teaching status quo of vector,according to friedman’s structure and the problem solving process of poly a pr oblem solving theory to analyze the students’ problem solving process,the "curriculum" are d efined in the accomplishment of intuitive imagination to the three levels to develop new "intui tive thought core literacy level analysis table",through the tests on the problem of high schoo l vector volume to understand a student of the present status of the intuitive imagination litera cy cultivation,based on the cultivation of the high three students that the status quo,on the b asis of cultivating high school students intuitive imagination literacy,Suggestions on how to i mprove students’ mathematical problem-solving ability are given.By analyzing the specific problem solving situation of senior high school students in the retrieved vector test papers and the results of data statistics,the research shows that :(1)the o verall level of intuitive imagination literacy of senior high school students is low,the majorit y of students are in the first level,the second is in the second level,and a few students have r eached the third level;(2)Teachers mostly use the traditional cramming classroom teaching m ethod when teaching;In the evaluation of the vector exercises,just let the students directly ap ply the formula;There are some problems in the teaching method about vector,which is not based on cultivating students’ visual imagination quality.(3)High school students do not have a solid grasp of vector knowledge;Can not flexibly use other mathematical knowledge;Poor operational skills;Inability to understand mathematical knowledge deeply and thoroughly.In a word,high school students’ ability to solve math problems is poor.Based on the above research status,this paper puts forward corresponding teaching sugg estions :(1)teaching is student-oriented,pay attention to the cultivation of students’ mathemat ical problem-solving ability,and let high school students master the weapons of problem-solv ing;(2)Teachers should change the traditional teaching mode and try new teaching methods;(3)Guide students to use the combination of numbers and shapes,so as to improve the teachi ng efficiency,improve the effectiveness of high school students to solve problems.