An investigation into children's developing mathematical abilities

 

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dc.contributor.advisor Craig, Anita en_ZA
dc.contributor.advisor Flanagan, Wendy en_ZA
dc.contributor.author Gurney, Jean Rosemarie en_ZA
dc.date.accessioned 2016-01-02T04:51:04Z
dc.date.available 2016-01-02T04:51:04Z
dc.date.issued 1997 en_ZA
dc.identifier.citation Gurney, J. 1997. An investigation into children's developing mathematical abilities. University of Cape Town. en_ZA
dc.identifier.uri http://hdl.handle.net/11427/16131
dc.description Bibliography: pages 83-85. en_ZA
dc.description.abstract This study examines children's developing mathematical abilities during the first three years of their schooling. More particularly, children in grades one, two and three of three different primary schools, in two different regions, had their performances on eleven mathematics tasks monitored over the course of 1996 to examine their developing mathematical abilities. These abilities were investigated in terms of task-particular performances and the assumed competencies (internal mental processes) underlying these performances. The data was generated through the use of a repeated measures design. The theory of the methods used to gather the data and to analyse the results is rooted in Vygotsky's (1978) experimental-developmental approach to the study of higher mental functions. This method of observation proved to be successful to the degree that it allowed for the study of changes in children's performances over a seven month period. The overall findings of the study revealed that the subjects in the sample population had the developmental readiness with which to improve their mathematical abilities. However, when this developmental readiness had to be taken further through formal instruction, their performances were inadequate. The investigation exposed the complexity and importance of language in the successful development of mathematical concepts. The data indicated that the subjects' learning was neither in advance of their development nor was it indicative of the constructivist approach to the task of teaching. Furthermore, there existed a conflict between spontaneous and formal knowledge in engaging with school mathematics tasks. en_ZA
dc.language.iso eng en_ZA
dc.subject.other Mathematics - Study and teaching (Primary) en_ZA
dc.title An investigation into children's developing mathematical abilities en_ZA
dc.type Master Thesis
uct.type.publication Research en_ZA
uct.type.resource Thesis en_ZA
dc.publisher.institution University of Cape Town
dc.publisher.faculty Faculty of Humanities en_ZA
dc.publisher.department School of Education en_ZA
dc.type.qualificationlevel Masters
dc.type.qualificationname MEd en_ZA
uct.type.filetype Text
uct.type.filetype Image
dc.identifier.apacitation Gurney, J. R. (1997). <i>An investigation into children's developing mathematical abilities</i>. (Thesis). University of Cape Town ,Faculty of Humanities ,School of Education. Retrieved from http://hdl.handle.net/11427/16131 en_ZA
dc.identifier.chicagocitation Gurney, Jean Rosemarie. <i>"An investigation into children's developing mathematical abilities."</i> Thesis., University of Cape Town ,Faculty of Humanities ,School of Education, 1997. http://hdl.handle.net/11427/16131 en_ZA
dc.identifier.vancouvercitation Gurney JR. An investigation into children's developing mathematical abilities. [Thesis]. University of Cape Town ,Faculty of Humanities ,School of Education, 1997 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/16131 en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Gurney, Jean Rosemarie AB - This study examines children's developing mathematical abilities during the first three years of their schooling. More particularly, children in grades one, two and three of three different primary schools, in two different regions, had their performances on eleven mathematics tasks monitored over the course of 1996 to examine their developing mathematical abilities. These abilities were investigated in terms of task-particular performances and the assumed competencies (internal mental processes) underlying these performances. The data was generated through the use of a repeated measures design. The theory of the methods used to gather the data and to analyse the results is rooted in Vygotsky's (1978) experimental-developmental approach to the study of higher mental functions. This method of observation proved to be successful to the degree that it allowed for the study of changes in children's performances over a seven month period. The overall findings of the study revealed that the subjects in the sample population had the developmental readiness with which to improve their mathematical abilities. However, when this developmental readiness had to be taken further through formal instruction, their performances were inadequate. The investigation exposed the complexity and importance of language in the successful development of mathematical concepts. The data indicated that the subjects' learning was neither in advance of their development nor was it indicative of the constructivist approach to the task of teaching. Furthermore, there existed a conflict between spontaneous and formal knowledge in engaging with school mathematics tasks. DA - 1997 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1997 T1 - An investigation into children's developing mathematical abilities TI - An investigation into children's developing mathematical abilities UR - http://hdl.handle.net/11427/16131 ER - en_ZA


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