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.
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:wits/oai:wiredspace.wits.ac.za:10539/5830 |
| Date | 04 November 2008 |
| Creators | Du Plessis, Jacques Desmond |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Type | Thesis |
| Format | application/pdf, application/pdf, application/pdf |
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