The goal of the present study is to investigate the relationship between pupils’problem posing and problem solving abilities,their beliefs about problem posing and problem solving,and their general mathematics abilit...The goal of the present study is to investigate the relationship between pupils’problem posing and problem solving abilities,their beliefs about problem posing and problem solving,and their general mathematics abilities,in a Chinese context.Five instruments,i.e.,a problem posing test,a problem solving test,a problem posing questionnaire,a problem solving questionnaire,and a standard achievement test,were administered to 69 Chinese fifth-grade pupils to assess these five variables and analyze their mutual relationships.Results revealed strong correlations between pupils’problem posing and problem solving abilities and beliefs,and their general mathematical abilities.展开更多
Word problems play a crucial role in mathematics education.However,the authenticity of word problems is quite controversial.In terms of the necessity of realistic considerations to be taken into account in the solutio...Word problems play a crucial role in mathematics education.However,the authenticity of word problems is quite controversial.In terms of the necessity of realistic considerations to be taken into account in the solution process,word problems have been classified into two categories:standard word problems(S-items)and problematic word problems(P-items).S-items refer to those problems involving the straightforward application of one or more arithmetical operations with the given numbers,whereas P-items call for the use of real-world knowledge and real-life experience in the problem-solving process.This study aims to explore how Chinese upper elementary school mathematics teachers think of the place and value of P-items in the elementary mathematics curriculum.展开更多
基金This research was supported by Grant Education Sciences Planning(JG10DB223)“Experimental research on the development of pupils’problem posing ability in Shenyang City”from the Research Fund of the Shenyang Educational Committeeby Grant GOA 2012/10“Number sense:Analysis and improvement”from the Research Fund of the Katholieke Universiteit Leuven,Belgium.
文摘The goal of the present study is to investigate the relationship between pupils’problem posing and problem solving abilities,their beliefs about problem posing and problem solving,and their general mathematics abilities,in a Chinese context.Five instruments,i.e.,a problem posing test,a problem solving test,a problem posing questionnaire,a problem solving questionnaire,and a standard achievement test,were administered to 69 Chinese fifth-grade pupils to assess these five variables and analyze their mutual relationships.Results revealed strong correlations between pupils’problem posing and problem solving abilities and beliefs,and their general mathematical abilities.
基金This research was supported by Grant GOA 2006/01“Developing adaptive expertise in mathematics education”from the Research Fund of the Katholieke Universiteit Leuven,Belgium.
文摘Word problems play a crucial role in mathematics education.However,the authenticity of word problems is quite controversial.In terms of the necessity of realistic considerations to be taken into account in the solution process,word problems have been classified into two categories:standard word problems(S-items)and problematic word problems(P-items).S-items refer to those problems involving the straightforward application of one or more arithmetical operations with the given numbers,whereas P-items call for the use of real-world knowledge and real-life experience in the problem-solving process.This study aims to explore how Chinese upper elementary school mathematics teachers think of the place and value of P-items in the elementary mathematics curriculum.
