An Actual Research On High School Students' Mathematics Concept Representation

Mathematics concept is the objective things in the stoichiometric relation and the spatial form essential attribute. Mathematics concept is the mathematical logic beginning, is the student cognition foundation, is the student carries on mathematics thought the core. Thus it can be seen, mathematics concept in the mathematics study important status, mathematics concept teaching also more and more receives people's attention.Must a better understanding and utilizes a mathematics concept, first must establish the correct concept representation in the brains. Must better carry on mathematics concept teaching, first should understand how mathematics concept is does present in the student brains. Therefore mathematics concept representation into mathematics concept teaches with study important content.This article was unifying the psychology and the pedagogy had the research to mathematics concept representation aspect, uses the questionnaire survey the method, has carried on the investigation to the Changchun 3 high school's 317 students. Attempts to explore the high-school pupil mathematics concept representation the situation, the characteristic and the existence question.The paper divides into three parts. The first part is first chapter and the second chapter, mainly elaborated mathematics concept representation aspect had the research, is this research rationale. The second part is third chapter and the fourth chapter, mainly introduced the present paper research technique and the findings. The investigation result indicated the high-school pupil presents the following characteristic regarding mathematics concept representation: The concept representation level falls behind the student cognition level; The concept representation lacks rich, often the sole use concept prototype carries on the attribute; Different type concept in attribute existence difference; The student uses personalized the understanding to carry on the representation, but defines accurately is often neglected and so on. Last the part always unifies the forecast, unified the high-school pupil concept attribute the investigation result, the author proposed the corresponding teaching suggested, hoped with study provided the model to mathematics concept teaching.