Research On The Learning Situation Of Trigonometric Functions From The Perspective Of Mathematics Core Literacy

Core literacy is placed on the basis of deepening the curriculum reform and implementing the goal of moral education,which is the basis and target of the next curriculum design,development and practice.The teaching design of trigonometric function based on mathematics core accomplishment also meets the requirements of mathematics teaching of the new curriculum,which is beneficial to the cultivation of students' mathematics core accomplishment.Therefore,it is very necessary to understand the students' current learning level of trigonometry and the core literacy of mathematics contained in trigonometry.This study can not only understand students' learning status of trigonometric functions,but also enrich the teaching design of trigonometric functions to improve students' mathematical core literacy.Make the students observe the world with mathematical eyes,will think about the world with mathematical thinking,will use mathematical language to express the world.This research adopts literature research method,test paper method,questionnaire survey method and interview analysis method to carry out research.This paper investigates the students of two high schools in a prefecture-level city of Jiangsu Province,analyzes the students' use of trigonometric function formula,the proof of trigonometric function formula,and the comprehensive problems about trigonometric function and the types of errors.To SOLO taxonomy,guang-ming wang master level theory and the curriculum as the guiding ideology,the high school level for the trigonometric functions and trigonometric function of the mathematical core literacy level,and then summed up to promote students' mathematics accomplishment,mathematical abstraction,the logical reasoning and mathematical modeling of trigonometric function teaching strategy.The research conclusions are as follows:(1)Students have a good command of trigonometric functions,but there is still room for improvement;Students have a general command of trigonometric function related formula proof;Students are not good at comprehensiveness of trigonometric functions,and there is a trend of polarization.(2)The main types of mistakes in students' answers are as follows:(1)calculation mistakes(2)unskillful use of trigonometric function formulas(3)unable to represent the images of trigonometric functions(4)ignoring the basic proofs of trigonometric Function formulas in books(3)Most of the students have the correct level of solving the medium operation difficulty,but the operational literacy still needs to be improved;The students' mathematical modeling accomplishment is mostly at level 1 and level 5,and the individual differences are great.The logical reasoning level of students is mostly in level three,and they have good logical reasoning accomplishment.Meanwhile,the difficulty of the questions has a great influence on logical reasoning.(4)For simple abstract problems,the distribution of students at Level 1,Level 2and Level 3 is relatively equal;For more complex abstract problems,students mostly at level one;It shows that students have a lot of room for improvement in mathematical abstraction.