Research On Middle And High School Mathematics Connection Under The Background Of The New Curriculum Reform

At present,there are two voices in the positioning of ordinary high school: "preparatory college of ordinary high school" and "basic + choice".In fact,high school mathematics education should be quality education,not a simple extension of compulsory education,nor a "preparatory class" to send students to universities.The new curriculum standards further clarify the positioning of ordinary high school education,and subordinate some higher mathematics knowledge to high school mathematics curriculum,and change a little curriculum content out to "reduce the burden".Compared with the old curriculum standards,the new curriculum standards attach great importance to the connection of mathematics knowledge in middle and high school.In addition to the four main knowledge lines,"preparation knowledge" is also incorporated to adjust the transition period of middle and high school mathematics.However,for students,only so,the bridging course still has some deficiencies.Therefore,in order to complete the smooth transition of students' learning segments,teachers should take cohesion teaching as a means and connecting curriculum as the carrier to improve the ability of high school students to learn independently and make up for the disconnection of knowledge structure between learning segments.After a large number of literature reading and analysis,the reasonable use of big data analysis tools for visual analysis,to capture the key elements,so as to conduct further exploration.Find a valuable research path: through big data analysis,Extract the important evaluation indicators that can help evaluate the cohesion of mathematics learning among students in the new stage;Index-oriented,Design a reasonable quantitative test questionnaire;Appropriate evaluation results were obtained through data screening and sorting,Analyze the relevant results;Prepare the interview outline in advance,Interviews with the senior teachers,Sorout and summarize interview information;For the existing problems,Based on previous studies,preliminary connection suggestions are given;Based on the previous survey and study,Design the teaching cases and improve them for many times;Through the teaching process design and classroom presets,Discover practical problems,And,along with the changes,Summarize the experience and lessons learned.In the process of questionnaire survey,the status quo of senior one students is mainly investigated.Because the data results of the electronic questionnaire are not ideal,the paper questionnaire survey is finally adopted to input the results into the spreadsheet to analyze and test the reliability and validity of the data.Take the key indicators as the modules,draw an intuitive chart,and analyze the results.By integrating the information obtained from the interview,the existing problems are summarized: first,the teachers 'research on the curriculum standards is not profound and comprehensive enough;the second,the connected knowledge points are not clear enough;the teachers' connected teaching only explains the connected knowledge points;third,the students' mathematical literacy is not high,the learning methods are unsuitable and the learning habits are bad.And summarize the following teaching suggestions: first,carefully study the curriculum standards,not only the new and old high school curriculum standards,but also contact the compulsory education curriculum standards;second,to trace the middle and high school knowledge network,find key connection points,to understand what the goal is,not just simple knowledge points;fourth,to consciously and skillfully use teaching methods and means to cultivate basic mathematics literacy and core literacy,and pay attention to help students find their own learning methods.According to the above connection teaching suggestions,select the teaching content of "basic inequality",and design the teaching connection cases.The difficulties are as follows: it is difficult to organize a large number of knowledge points,the knowledge structure is huge,the time is tight,the task is heavy,the course standards and teaching materials specify the specific hours,and the curriculum is nowhere to stand.