Research On The Application Of The Thinking Method Of Combining Of Numbers And Shapes In The Thematic Unit Teaching Of High School Mathematics

With the development and modernization of education,the requirements of society for talents and the training objectives of high school education have changed.In order to catch up with these changes,China has taken actions to reform the college entrance examination mode,and a new one has emerged as required.This series of actions has enabled the cultivation of students’ comprehensive quality in high school mathematics to be truly applied by teachers rather than at the expert level.In order to help students adapt to the new college entrance examination,mathematical knowledge won’t be the only focus for both teachers and students,and the improvement of students’ comprehensive mathematical quality is another indispensable focus in high school mathematics teaching and learning as well.At the same time,teachers should also pay attention to the changes in the new curriculum reforms and the new college entrance examination,carefully study them and make changes,truly achieve the "integration of morality and intelligence" and improve the teaching effect of "educating people" in class,cultivate students’ comprehensive quality,and enhance students’ motivation and ability to learn mathematics.In order to meet the requirements of the new college entrance examination,many changes have been made in the new textbooks,and one of the key points is the thematic unit teaching.Thematic unit teaching is a teaching mode that ensures students’ subjectivity,overcomes learning fragmentation,points to higher-order thinking,and cultivates students’ core quality of mathematics.It makes students more clear what direction they should work towards in the learning process."General High School Mathematics Curriculum Standards(2017)" also clearly put forward that the majority of front-line mathematics teachers should prepare lessons in the form of the main line,pay more attention to the teaching mode of "mainline--theme--core content",take students "learning" as the center in teaching,carry out "secondary development" of teaching materials,and create courses with "theme" as the unit.Integrate many scattered and closed teaching factors to carry out thematic learning.The combination of number and form is a very important thought method in high school mathematics teaching,which plays a key role in students’ learning and understanding of the relevant knowledge of high school mathematics,and is also a "sword" for students to solve problems.In order to make the combination of number and form thinking methods effectively help students solve problems and improve their problem-solving efficiency,teachers should not only be superficial in teaching,but deepen students’ understanding of the relationship between "number" and "form" systematically and repeatedly.However,through the author’s interview survey on the teaching mode of front-line mathematics teachers in the work unit,it is found that in this grade,as the first class after the new curriculum reform and the new college entrance examination,most of the teachers do not have a deep understanding of the curriculum reform,still stay in the traditional teaching mode,know little about the thematic unit teaching,and basically do not carry out the thematic unit teaching.At the same time,there are also many problems in the teaching of the combination of number and form thinking.Most teachers still rely on exercises to teach the combination of number and form thinking,and what’s more,just like a kind of cramming teaching,which doesn’t match with the requirements and expectations of the new curriculum.Even though a few teachers consciously arrange the application of the combination of number and form in teaching,it is not inevitable that there are some fragmentation,"one word",resulting in students’ learning effect can not be well reflected in the application.From this point of view,in this paper,the author analyzes and studies in detail the thematic unit teaching which is emphasized in the reform of high school mathematics teaching mode under the new college entrance examination,and the problems about the combination of number and form with thought method teaching,and puts forward the relevant strategic principles of the thematic unit teaching design,in order to be beneficial to high school mathematics teaching.After consulting relevant theoretical papers and documents on thinking method of Combining Numbers with Shapes teaching,studying the application of the thinking method of Combining Numbers with Shapes in various sections in high school mathematics teaching,combining existing research results and the author’s teaching practice experience,interviewing teachers at the author’s school,explaining relevant definition,introducing the design strategies in thematic unit teaching,giving advice to thematic unit teaching in the corresponding section of the thinking method of Combining Numbers with Shapes,and discussing common questions,this article finally obtained the following conclusions:(1)To systematically cultivate students’ cognitive level and discipline quality,thematic unit teaching should be student-centered,and teachers need to integrate knowledge from a holistic perspective;(2)The thematic unit teaching of the thinking method of Combining Numbers with Shapes requires systematic and repeated infiltration;(3)The flexible application of thinking method of Combining Numbers with Shapes should be taken gradually and taught in accordance with students’ aptitude.