A Feasibility Study On The Mutual Penetration Of Mathematics And Physics In Senior High School

Mathematics and physics are two very important basic disciplines of high school. It isirreplaceable for students to develope thinking ability and to enhance scientific literacy.Mathematics is a tool for physics, and physics promotes the development of mathematics.The relationship between two determines the importance on the mutual penetration in highschool. Under the guidance of knowledge on transfer theory, system theory, systemcorrelation model and sub-system theory model-mathematical and physical match model,the mutual penetration of knowledge points of physics and mathematics are gatheredstatistic and matched with the learning time. Also, physics studying in high school isinvestigated with the influence on mathematics learning. It can be concluded thatmathematics and physics are positive correlation by the statistical analysis of survey. Inthis paper, the penetration and match of mathematical knowledge in different stages ofphysics learning in high school is illuminated by examples from the time matching. Theway of penetration of both mathematics and physics is explored form the mathematicalcontent and methods using in the physical learning. The promotion of mathematics abilityby the knowledge point of "mathematics first and physics second" using in physics of highschool is researched. Meanwhile, taking high school mathematics and physics textbooks asthe research objects, it is described that the preparation of physics knowledge in theelementary calculus and sequence of mathematics. The penetration of physics tomathematics is explained by the deduction of mathematical formulas with physicalknowledge, the solution of mathematics problems with the ideas and methods of physicalexperiment or the physical principles. The association of mathematics and physics isdiscussed by the vector knowledge. Finally, the penetration is proved between mathematics and physics by the detailed examples and we can conclude that:(1) The effect of mathematics and physics are positive correlation with each other,indicating the possibility and necessary of match and penetration.(2) The mutual knowledge penetration and time matching of physics and mathematicsare gathered statistic.(3) The penetration way of mathematical knowledge to physics is researched by casestudy.(4) The promotion of mathematics ability and the preparation of mathematicalknowledge are derived from physics, further exhibiting the the penetration way ofmathematics to physics.(5) The penetration way of mathematics to physics is introduced by multiple cases.(6) The penetration of mathematics and physics is discussed taking the vectorknowledge for example.