The transition across the cognitive gap - the case for long division - : Cognitive architecture for division : base ten decomposition as an algorithm for long division

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dc.contributor.author Du Plessis, Jacques Desmond
dc.date.accessioned 2008-11-04T12:53:01Z
dc.date.available 2008-11-04T12:53:01Z
dc.date.issued 2008-11-04T12:53:01Z
dc.identifier.uri http://hdl.handle.net/10539/5830
dc.description.abstract This is an action research study which focuses on a didactical model founded on base ten decomposition as an algorithm for performing division on naturals. Base ten decomposition is used to enhance the algebraic structure of division on naturals in an attempt to cross the cognitive divide that currently exists between arithmetic long division on naturals and algebraic long division on polynomials. The didactical model that is proposed and implemented comprises three different phases and was implemented over five one hour lessons. Learners’ work and responses which were monitored over a fiveday period is discussed in this report. The structure of the arithmetic long division on naturals formed the conceptual basis from which shorter methods of algebraic long division on polynomials were introduced. These methods were discussed in class and reported on in this study. en
dc.language.iso en en
dc.subject Long Division en
dc.subject Base Ten Decomposition en
dc.subject Division Algorithm en
dc.subject Arithmetic en
dc.subject Structure en
dc.subject Polynomials en
dc.subject Cognitive Gap en
dc.subject Variable en
dc.title The transition across the cognitive gap - the case for long division - : Cognitive architecture for division : base ten decomposition as an algorithm for long division en
dc.type Thesis en


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