Influence Of The Application Of The History Of Mathematics To Develop The Mathematics Innovative Consciousness Of Sixth Graders Students

Significance of the history of mathematics applications in teaching comesfrom its value in education, and it is needed to spread our culture. Innovativeconsciousness is the foundation stage of education and need to be traineddeliberately, it is a strong psychological qualities pillar to make our countrywealthy and strong, and it can be developed in the process of mathematicsteaching. It is the research center of this paper that application of the history ofmathematics is how to affect on the cultivation of mathematics innovation.In this thesis, the author from a new perspective—centre on all stages ofclassroom teaching (including preparation before class，introduction of newknowledge, teaching of new lesson, explanation of example, explanation ofexercise)一with additional type, copy type, adaptation type, reconstruction typeto deliberately reference the related content of the history of mathematics. At thesame time to explore what effects can these measures produce for cultivating thestudents’ mathematics innovation consciousness? Operating methods roughly asshown below: First, reference history of the appearance and formation of themathematics knowledge，based on the historical facts to guide teachers to designthe teaching work，so that we can meet the demand of the students’ psychologicalcognitive development more，and it is easy for students to find questions and tosolve it; Second, search for mathematics questions in history, search for differentproblem solving methods of mathematicians, and on this basis，made teachingdesigns from mathematics questions in history, all is good for them to train theirdivergent thinking and multi-method to solve questions; Third, collect the lifestoires of mathematicians in the history or small stories related to themathematicians’ life or study, and make them as materials for teaching design，tomotivate the students dare to doubt and take the courage of practice. Fourth,according to the history of mathematics knowledge’s produce process ormethods’ produce process, we can downsize it and then use it in the teachingdesign, let the students summed up the problem solving method and mathematicalthinking，and enjoy the joy of innovation,The author mainly from the questionnaire survey analysis，observation of student works, observation of students’ classroom performances to explore theinfluence of the application of the history of mathematics on the studenfsmathematics innovative consciousness. From the school assignment analysis andclassroom observation, we can ifnd that Student’s mathematics innovativeconsciousness changed, and although is not very obvious, but is, indeed, have theeffect. From the analysis results of the total score of the questionnaire we can seethat the overall level of student’s mathematics innovative consciousness improvedsignificantly, explaining this experiment is effective. And from the analysis ofvariance, the students’ mathematics innovation test score is fluctuate small afterthe test, the mathematical innovation consciousness on students tend to be morestable.In this paper, the author analysis on different dimensionality of mathematicsinnovation consciousness: The first, there was no significant change in the powersystem of student’s mathematics innovative consciousness after the experiment,we can say the student’s mathematics innovative consciousness is not improveclearly in this area, b’ut students mathematics innovative consciousness、performance in this aspect have a obvious stable trend; The second, inintelligence system the average score of the analysis has significantly increasedafter the experiment, but the stability is not very ideal. The third, there was nosignificant change in the action system of student’s mathematics innovativeconsciousness after the experiment, we can say the student’s mathematicsinnovative consciousness is not improve clearly in this area, and need to continueto work hard, but there was a significant reduction in the value of variance of thisdimensionality, the stability has significantly increased, progress in the stable is agood phenomenon.