The Teaching Of Mathematical Key Concepts And The Investigation

The key of mathematical concepts is the basic unit of the knowledgesystem of mathematical curriculum, the teaching of mathematical concepts isthe important content of mathematics teaching. It’s the foundation of thedevelopment of mathematical thinking and mathematical ability. Jianyue Zhanghad conducted in-depth research about it, According to the reach, the authorContinue to discuss the teaching of mathematical key concepts.The first part is composed of the first two chapters, which is anintroduction to the background of key concept teaching, the purpose andsignificance of the study; The third chapter analyzes the concept teaching withthe very typical “sequence” and “oval” by comparison with different textbook.By introduction the concepts into daily life, reveals the core concepts containabundant mathematical though.The fourth chapter shows four teaching cases for the concept of ellipseteaching design. The exploration teaching; the analogical teaching; the previewteaching and the appreciation teaching, which explain the teaching ofmathematical key concepts should advocate the methods of independentexploration, self-study, cultural appreciation etc, achieves the purpose of “learnmathematics well” by “recreation”.The fifth chapter mainly makes empirical analysis with the teacherquestionnaire through the teachers’ self evaluation to the concept teaching. it reveals the Contact ratio of the difficulty and emphasis concepts is very high.The instructional design of core concepts mainly conforms to the newcurriculum idea.In the sixth chapter, through the existing core concepts teaching theory andthe survey of teachers’ concept teaching, the following several suggestions aregot: teachers should hold the relationship between the concept of source and theconcept of after, construct the concept map which is centering on the coreconcept and form a knowledge network from the perspective of knowledge ofcohesion; in the teaching process of core concepts, the focus should be on"process" and cultivating the students’ curiosity and the desire of unknown;what’s more, the introduction of the problem should be paid attention for thesake of improving the students’ learning initiative, developing the confidence ofmathematics, and strengthening the cultivation of students’ mathematicalthinking from the angle of humanity.