Teaching Research On Improving Students' Ability Of Number Sequence Transfer Based On CPFS Structure

The research of Yu Ping et al.shows that the CPFS frame,as an excellent mathematical cognitive structure,is helpful for middle school students' mathematical knowledge transfer,mathematical understanding and mathematical ability development.Therefore,the CPFS frame should also play an important role in transfer promotion,but no one has yet made detailed research in this field.Then we chose the chapter of sequence in senior high school to study the transfer effect of CPFS frame,which is not only a necessary supplement to the related research of CPFS frame theory,but also has more specific guiding significance for mathematics teaching.First of all,the research took the literature research method as the theoretical basis,including Yu Ping's CPFS frame theory,Bruner's cognitive structure learning theory,Ausubel's cognitive structure transfer theory,and the relationship between cognitive structure and transfer,that is,an excellent cognitive structure can promote transfer.Secondly,according to the theoretical basis,the paper developed teaching strategies that can promote students' construction of CPFS frame: deepen students' learning of concepts and propositions from the perspective of learning concepts and propositions;starting from typical concepts and propositions,expand students' concept domain and proposition domain through equivalent variants;help students extend concept system and proposition system by using unequal variants;help students consolidate the CPFS frame and increase the "activity" of the CPFS frame through the overall generalization.Finally,the following conclusions were drawn through the comparative teaching experiment of sequence content in senior high school.The formulated teaching strategies can improve students' sequence transfer ability;The formulated teaching strategies can help students construct excellent sequence CPFS frames;Excellent sequence CPFS frame can improve students' sequence transfer ability.