The Teaching-case Design Of Probability And Statistics In Senior High School, Which Based On A Mathematical History Perspective

Since2000the basic education curriculum reform, probability and statistics formthe basis for an important part of education mathematics curriculum, but manyteachers are not suited to the teaching of probability and statistics, probability andstatistics related to teaching and research base in recent years has become a hotresearch education math curriculum. At present, some historians of mathematics,mathematics educators into the history of mathematics and mathematics teachingintegration work, historical research related to the integration of teaching statistics andprobability in this context, probability and statistics is essential.Through literature research, combing the classical probability points to solvehistorical problems, geometric Probability Model Buffoon needle cast, dating problemsolving,Bertrand paradox of history, De Movie, Gauss two mathematicians makesnormality contribution distribution, Adrian Marie Legendry, Gauss discovered thehistory of the two mathematicians the Method of least squares; on this basis, thedevelopment of a “classical probability model”,“geometric probability model”,“TheNormal Distribution”,“The Method of Least Squares” four mathematics history andMathematics teaching integration case.Implemented in the classroom,“the classical probability”, the students practicethrough research, interviews with students and teachers analyze the results of theinterviews found that most students have some difficulty understanding of theproblem points barrier, only a few basic good, and there are math students interestedin good, try classification methods enumerated resolved, but the idea is not very clear;students in the process of resolving repeat the mistakes of history; students willing toaccept this case teaching method, called the study may pave the way to prepare for thefuture probability, but do not want to introduce too much. For such cases teachersteaching with favor, but it is recommended to maintain a high degree of consistencywith the course professor, suggested a more concise case modifications will be morepractical.