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Lineere programmering op skoolvlak
Thesis (MEd) -- Stellenbosch University, 1994.
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| Other Authors: | |
| Format: | Thesis |
| Language: | Afrikaans |
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Stellenbosch : Stellenbosch University
2012
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| _version_ | 1867613743623438336 |
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| access_status_str | Open Access |
| author | Groenewald, Marlien |
| author2 | Human, P. G. |
| author_browse | Groenewald, Marlien Human, P. G. |
| author_facet | Human, P. G. Groenewald, Marlien |
| author_sort | Groenewald, Marlien |
| collection | Thesis |
| dc_rights_str_mv | Stellenbosch University |
| description | Thesis (MEd) -- Stellenbosch University, 1994. |
| format | Thesis |
| id | oai:scholar.sun.ac.za:10019.1/58455 |
| institution | Stellenbosch University (South Africa) |
| language | Afrikaans |
| last_indexed | 2026-06-10T12:41:00.180Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository |
| publishDate | 2012 |
| publishDateRange | 2012 |
| publishDateSort | 2012 |
| publisher | Stellenbosch : Stellenbosch University |
| publisherStr | Stellenbosch : Stellenbosch University |
| record_format | dspace |
| source_str | SUNScholar — Stellenbosch University Repository |
| spelling | oai:scholar.sun.ac.za:10019.1/58455 Lineere programmering op skoolvlak Groenewald, Marlien Human, P. G. Stellenbosch University. Faculty of Education. Dept. of Curriculum Studies. Linear programming Linear programming -- Study and teaching (Secondary) Dissertations -- Education Thesis (MEd) -- Stellenbosch University, 1994. Linear programming is a mathematical technique with a wide range of applicability to various areas. It is utilised in the solution of problems aimed at maximising or minimising the linear function of more than one variable where the values of the variables are restricted in order to satisfy a system of linear constraints. The study of linear programming is of potential value to the pupils by developing in them an appreciation of the role and application of mathematics in the everyday world. As a field of study at school level, linear programming is eminently suited to serve as an introduction to pupils of the formulation of a mathematical model, the mathematical solution and its practical interpretation. Linear programming is used at school level as a method of solving problems which have only two variables. Possible solution techniques which can be utilised include a graphic-algebraic, a graphic and a numerical method. Quite a number of linear programming problems appearing in final examination papers and school textbooks are often so simplified and the constraints so limited that they can be solved without utilising the afore-mentioned techniques. Such problems which are set as linear programming problems but which can be solved by easier methods are classified as non-real linear programming problems. The non-real problems are discussed together with relevant examples. Requirements for the classification of problems as real linear programming problems are stipulated. An analysis of linear programming problems which appeared in the Higher Grade Senior Certificate examination papers set by various education departments from 1987 to 1993 has been carried out. This has revealed that many non-contextual questions were set in which the inequalities of the constraints and/or the graph were given without a practical problem situation. Furthermore the number of non-real linear programming problems has increased during the past few years. Frequently guidance was offered in the case of many of these questions along with a high degree of prescription. The inequalities and/or the graphs were often provided. A study of the presentation of linear programming at school level at present has been effected by an investigation of its presentation in text books. This presentation emphasises mainly a graphic solution technique. The question remains whether the graphic method is the best and whether pupils will not derive more insight through a presentation which also accentuates algebraic solutions. A presentation designed to promote insight into and comprehension of the nature and structure of linear programming problems through medium of a numerical solution technique has consequently been developed and is recommended. This method may possibly facilitate the pupils' ability to formulate the mathematical model for the linear programming problem. It will hopefully develop in them a positive attitude and give them the confidence to solve linear programming problems. Therefore linear programming as a field of study will possibly become available to more pupils. Masters 2012-08-27T11:38:59Z 2012-08-27T11:38:59Z 1994 Thesis http://hdl.handle.net/10019.1/58455 af Stellenbosch University 159 pages : ill. application/pdf Stellenbosch : Stellenbosch University |
| spellingShingle | Linear programming Linear programming -- Study and teaching (Secondary) Dissertations -- Education Groenewald, Marlien Lineere programmering op skoolvlak |
| title | Lineere programmering op skoolvlak |
| title_full | Lineere programmering op skoolvlak |
| title_fullStr | Lineere programmering op skoolvlak |
| title_full_unstemmed | Lineere programmering op skoolvlak |
| title_short | Lineere programmering op skoolvlak |
| title_sort | lineere programmering op skoolvlak |
| topic | Linear programming Linear programming -- Study and teaching (Secondary) Dissertations -- Education |
| url | http://hdl.handle.net/10019.1/58455 |
| work_keys_str_mv | AT groenewaldmarlien lineereprogrammeringopskoolvlak |