- Title
- An analysis of visualization processes used by selected Grade 11 and 12 learners when solving algebraic problems: a Namibian case study
- Creator
- Josef, Joseane
- ThesisAdvisor
- Schafer, Marc
- Subject
- Visualization
- Subject
- Mathematics -- Study and teaching -- Namibia -- Case studies
- Subject
- Mathematics -- Study and teaching (Secondary) -- Activity programs
- Subject
- Algebra -- Study and teaching (Secondary) -- Namibia -- Case studies
- Date
- 2017
- Type
- Thesis
- Type
- Masters
- Type
- MEd
- Identifier
- http://hdl.handle.net/10962/7843
- Identifier
- vital:21309
- Description
- Visualisation is gaining visibility in mathematics education research. It is a powerful tool for solving different types of problems in many areas of mathematics, including Algebra - the mathematical domain of this study. The aim of this case study was to analyse the visualisation processes that selected senior secondary school learners used to solve a set of ten algebraic problems.The research was conducted at a secondary school in the Erongo region of Namibia. This is the school where the researcher is teaching. The sample consisted of six selected learners, three from Grade 11 and three from Grade 12. The learners were purposefully selected to participate in this study based on their mathematics performance in class and their willingness to participate. The participants were video recorded as they worked through the ten items of an Algebraic Visualisation Tasks (AVT) worksheet. They were also interviewed about the visualisation processes they employed when solving each of the tasks. The AVT, the videos and the interviews were analysed with the aid of an adapted visualisation template. The findings of the study show that learners used visualisations in all their problem-solving processes. These visualisations were used for different purposes such as starting points, for illustrative purposes, as organizational tools and as simplification tools. Visualisations as starting points were used when the problem was wordy and had lengthy descriptions and explanations. Illustrative visualisations enabled learners to articulate in their own way mathematical notations, mathematical equations and expressions that they then used to solve the problem. Organizational pictures provided a useful structural framework for solving the problems.This research suggests that the selected participants indeed used visualisation processes to solve algebraic problems. It is thus important for teachers to harness this aid and make the most use of these visualisation processes when teaching Algebra.
- Format
- 211 pages, pdf
- Publisher
- Rhodes University, Faculty of Education, Education
- Language
- English
- Rights
- Josef, Joseane
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| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details | SOURCE1 | Adobe Acrobat PDF | 16 MB | Adobe Acrobat PDF | View Details |