Made available in DSpace on 2016-04-27T16:58:49Z (GMT). No. of bitstreams: 1 Alessandra Hissa Ferrari.pdf: 1136595 bytes, checksum: 90ed15c14b40874799469ff6806854b7 (MD5) Previous issue date: 2008-12-05 / This research aims to investigate the formation of the concept of number in children. It occurs in two perspectives: the first is the theoretical context that is dedicated to the study of two scientific approaches with different assumptions; the second is empirical in nature and focus the identification of individual differences in numerical abilities in children who start the school stage. In the first part are addressed ideas of Piaget's theory, within the psychology genetics, and ideas of the French neuroscientist Stanislas Dehaene, exposed in the piece "La Bosse des Maths." (1997), in which arguments presented show inconsistencies in the methods of Piaget on the formation of the concept of number in children. The theoretical support gives the development of the empirical which is composed of activities inspired by the experiments of Dehaene. The activities are supposed to meet individual differences in several aspects of the numerical sense of the child, in the first years of school life. We stress that in view of Piaget, logic and arithmetic are built in the mind of the infant by observation, the internalization and the abstraction of regularities of the world, denying any numerical ability in children under four years, while for Dehaene, all people have even in its first year of life, a well-developed sense of numbers, because for every thought or that calculations made, triggered activity of specific neural circuits of our cerebral cortex. Empirical activities indicate individual differences of children in most of the proposed activities, revealing different conditions of confrontation to operate their activities. You can also see differences in conceptions about the change in quantity. A study like this back to the understanding of how it is the numerical ability in children and characterizations that they have is important for the Mathematics Education, as the concept of number is fundamental to build up the concepts of mathematics / Esta pesquisa tem por objetivo investigar a formação do conceito de número na criança. Desenvolve-se em duas perspectivas: a primeira, de contexto teórico, é voltada ao estudo de duas abordagens científicas, com pressupostos distintos; a segunda, de caráter empírico, tem por foco a identificação de diferenças individuais, de habilidades numéricas, em crianças que iniciam a fase escolar. Na primeira parte são abordadas idéias da teoria de Piaget, no seio da psicologia genética, e idéias do neurocientista francês Stanislas Dehaene, expostas na obra La Bosse des Maths. (1997), na qual são apresentados argumentos que indicam inconsistências dos métodos de Piaget, sobre a formação do conceito de número na criança. Os estudos teóricos embasam o desenvolvimento da parte empírica que é composta por atividades inspiradas nos experimentos de Dehaene. As atividades têm por objetivo conhecer diferenças individuais, sob diversos aspectos, do senso numérico da criança, em início da vida escolar. Destacamos que na perspectiva de Piaget, a lógica e a aritmética são construídas na mente do bebê pela observação, pela internalização e pela abstração das regularidades do mundo, negando qualquer habilidade numérica em crianças com menos de quatro anos, enquanto para Dehaene, todas as pessoas possuem, mesmo em seu primeiro ano de vida, uma intuição bem desenvolvida de números, pois para cada pensamento ou cálculos que efetuamos, acionamos atividade de circuitos neuronais específicos do nosso córtex cerebral. As atividades empíricas indicam diferenças individuais das crianças na maioria das atividades propostas, revelando condições diferentes de enfrentamento para operar as atividades. Pode-se também perceber diferenças de concepções quanto à variação de quantidade. Um estudo como esse voltado à compreensão de como se revela a capacidade numérica na criança e que caracterizações ela tem é importante para a Educação Matemática, pois o conceito de número é basilar na constituição dos conceitos da Matemática

This research investigates the relationship between the attitude of senior secondary mathematics educators towards school and the achievement of their learners. A literature study examined research into the relationships between an educator's attitude towards his or her school management team, colleagues, learners, parents, the subject of mathematics and the factors influencing mathematics achievement. An empirical investigation used a quantitative research design to collect data from selected senior secondary schools in the Eastern Cape Province of South Africa. A questionnaire was used to gather data and a statistical data analysis was conducted to calculate frequencies and test hypotheses. Findings indicated the existence of a relationship between educators' attitudes towards school and the achievement of their learners. It was therefore recommended that school managers should be very sensitive to the climate prevailing in their schools in order to encourage mathematics educators and thus, indirectly, learners in this vital subject. / Educational Studies / M. Ed. (Didactics)

This study investigated teachers' and learners' perceptions of the causes of poor performance in Mathematics among Grade 9 learners in Durban's Ethusini Circuit of KwaZulu-Natal Province. By using a phenomenographic research design, a sample of 15 Grade 9 learners who take Mathematics, one Grade 9 Mathematics teacher and one Mathematics head of department was selected purposively from three high schools in the Ethusini Circuit. The three schools are one former model C school, one ordinary government school and one private school. Focus group and semi-structured interviews were used to collect data from the participants. The data were analysed by transcribing the focus group and semi-structured interviews; thereafter, the transcriptions were coded into themes and categories. The results of this study indicate that teachers and learners perceive that poor performance in Mathematics in Grade 9 is due to CAPS curriculum challenges, such as overloaded and advanced content, and insufficient time to complete the curriculum. Parental support, English (first additional language) as a language of learning and teaching, methods of teaching (such as the talk and chalk method), and learners' negative attitude towards Mathematics were also cited. From these findings, recommendations for revisiting the CAPS curriculum and other areas of need, as well as topics for future research were suggested. / Dinyakišišo tše di nyakišišitše ka ga maikutlo a barutiši le a baithuti ka ga dilo tšeo di bakago go se šome gabotse ka thutong ya Dipalo gareng ga baithuti ba Kreiti ya 9 ka Sedikothutong sa Ethusini ka Durban ka Phrobentsheng ya KwaZulu-Natal. Ka go šomiša mokgwa wa dinyakišišo wa fenomenokrafiki, sampole ya baithuti ba 15 ba Kreiti ya 9 bao ba ithutelago Dipalo, morutiši o tee wa Dipalo ka go Kreiti ya 9 le morutiši o tee yo e lego hlogo ya lefapha la Dipalo o kgethilwe ka maikemišetšo go tšwa dikolong tše di phagamego tše tharo ka Sedikothutong sa Ethusini. Dikolo tše tharo tše ke sekolo se tee seo se bego se le sa motlolo wa C, se tee sa tlwaelo sa mmušo le se tee ke sekolo sa phraebete. Sehlopha seo se nepišitšwego le dipoledišano tša dipotšišo tšeo di beakantšwego peleng di šomišitšwe go kgoboketša tshedimošo go tšwa go bakgathatema. Tshedimošo e sekasekilwe ka go ngwalolla dipoledišano tša dipotšišo tša sehlopha seo se nepišitšwego le tšeo di beakantšwego peleng; ka morago ga fao, dingwalollo tše di filwe dikhoutu go ya ka merero le magoro a tšona. Dipoelo tša dinyakišišo tše di laetša barutiši le baithuti ba bona gore go se šome gabotse ga baithuti ka thutong ya Dipalo ka go Kreiti ya 9 ke ka lebaka la ditlhohlo tša lenaneothuto la Setatamente sa Melawana ya Tekolo ya Lenaneothuto (CAPS), go swana le diteng tša thuto tšeo di tletšego kudu le tšeo di gatetšego pele kudu, le nako ye e sego ya lekana ya go fetša lenaneothuto. Thekgo ya batswadi, Seisemane (polelo ya gae ya tlaleletšo) bjalo ka polelo ya go ithuta le ya go ruta, mekgwa ya go ruta (ya go swana le mokgwa wa go bolela le go ngwala ka tšhooko letlapeng), le maikutlo ao a sego a loka a baithuti go Dipalo le tšona di filwe bjalo ka dilo tšeo di bakago se. Go dikutollo tše, ditšhišinyo tša go etela leswa lenaneothuto la CAPS le makala a mangwe ao o hlokago šedi, gammogo le dihlogotaba tša dinyakišišo tša ka moso le tšona di ile tša šišinywa. / Lolu cwaningo luphenye imibono yothisha kanye neyabafundi yezimbangela zokungasebenzi kahle esifundweni seziBalo kubafundi beBanga le-9 kuSekhethi yase-Ethusini eThekweni esifundazweni saKwaZulu-Natali. Ngokusebenzisa isakhiwo sokucwaninga esisezingeni eliphezulu, isampula yabafundi abayi -15 beBanga le-9 abathatha iziBalo, uthisha oyedwa weBanga le-9 kanye nomphathi oyodwa womnyango weziBalo bakhethwa ngenhloso ezikoleni ezintathu eziphezulu kuSekhethi yase-Ethusini. Lezi zikole ezintathu esisodwa semodeli C, esisodwa sikahulumeni ojwayelekile kanye nesisodwa isikole esizimele. Iqembu lokugxila kanye nezingxoxo ezihlelwe kahle zisetshenzisiwe ukuqoqa imininingwane evela kubahlanganyeli. Imininingwane yahlaziywa ngokubhalwa kweqembu okugxilwe kulo kanye nezingxoxo ezihlelwe kahle; emva kwalokho, imibhalo ivezwe ngendlela engaqondile ezindikimbeni nasezigabeni. Imiphumela yalolu cwaningo ikhombisa ukuthi othisha kanye nabafundi babona ukuthi ukungasebenzi kahle esifundweni seziBalo kuBanga lesi-9 kungenxa yezinselela yezifundo ezibandakanya isifundo esifundwayo seCAPS, njengokuqukethwe okugcwele kakhulu nokuthuthukile, kanye nesikhathi esinganele sokuphothula izifundo ezibandakanya isifundo esifundwayo. Ukusekelwa kwabazali, isiNgisi (ulimi lokuqala olwengeziwe) njengolimi lokufunda nokufundisa, izindlela zokufundisa (njengeyokufundisa lapho uthisha ebhala ebhodini), kanye nesimo sengqondo esingesihle sabafundi maqondana neziBalo nakho kuveziwe. Ukusuka kulokhu okutholakele, kuphakanyiswe ukuphinda kuphinde kufundwe izifundo ezibandakanya isifundo esifundwayo seCAPS kanye nezinye izindawo ezidingeka, kanye nezihloko zocwaningo lwakusasa ziphakanyisiwe. / Curriculum and Instructional Studies / M. Ed. (Curriculum and Instructional Studies)

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