This paper attempts to summarize a number of research studies on numbers.The purpose of this study was to investigate and identify the obstacles encountered by students when they are dealing with number reasoning(whol...This paper attempts to summarize a number of research studies on numbers.The purpose of this study was to investigate and identify the obstacles encountered by students when they are dealing with number reasoning(whole numbers,integers,and rational numbers)and the difficulties faced by pre-service teachers in teaching arithmetic,including their misconceptions and weaknesses when they teach arithmetic and operations.There are two main sections in this paper:students’cognitive obstacles for number reasoning,and pre-service teachers’misconceptions of arithmetic.With the summarized misconceptions and obstacles of both,students and teachers,this paper provides efficient and effective thinking strategies that may help both,learners and instructors overcome obstacles,revise misconceptions,and strengthen their understanding,in order to develop proficiency in number reasoning and arithmetic operations.展开更多
This paper attempted to summarize and depict a 50-minutes class for preservice elementary teachers regarding to how would they teach the number zero to students.The class was designed to promote conceptual understandi...This paper attempted to summarize and depict a 50-minutes class for preservice elementary teachers regarding to how would they teach the number zero to students.The class was designed to promote conceptual understanding of zero and to remove learners’cognitive obstacles and misconceptions of arithmetic.Preservice teachers should first be prepared with the subject matter not only how to perform arithmetic operations but how to explain why the formula works like that.展开更多
文摘This paper attempts to summarize a number of research studies on numbers.The purpose of this study was to investigate and identify the obstacles encountered by students when they are dealing with number reasoning(whole numbers,integers,and rational numbers)and the difficulties faced by pre-service teachers in teaching arithmetic,including their misconceptions and weaknesses when they teach arithmetic and operations.There are two main sections in this paper:students’cognitive obstacles for number reasoning,and pre-service teachers’misconceptions of arithmetic.With the summarized misconceptions and obstacles of both,students and teachers,this paper provides efficient and effective thinking strategies that may help both,learners and instructors overcome obstacles,revise misconceptions,and strengthen their understanding,in order to develop proficiency in number reasoning and arithmetic operations.
文摘This paper attempted to summarize and depict a 50-minutes class for preservice elementary teachers regarding to how would they teach the number zero to students.The class was designed to promote conceptual understanding of zero and to remove learners’cognitive obstacles and misconceptions of arithmetic.Preservice teachers should first be prepared with the subject matter not only how to perform arithmetic operations but how to explain why the formula works like that.
