Teacher narratives in making sense of the statistical mean algorithm
Pythagoras
| Field | Value | |
| Title | Teacher narratives in making sense of the statistical mean algorithm | |
| Creator | Lampen, Erna | |
| Description | Teaching statistics meaningfully at school level requires that mathematics teachers conduct classroom discussions in ways that give statistical meaning to mathematical concepts and enable learners to develop integrated statistical thinking. Key to statistical discourse are narratives about variation within and between distributions of measurements and comparison of varying measurements to a central anchoring value. Teachers who understand the concepts and tools of statistics in an isolated and processual way cannot teach in such a connected way. Teachers’ discourses about the mean tend to be particularly processual and lead to limited understanding of the statistical mean as measure of centre in order to compare variation within data sets. In this article I report on findings from an analysis of discussions about the statistical mean by a group of teachers. The findings suggest that discourses for instruction in statistics should explicitly differentiate between the everyday ‘average’ and the statistical mean, and explain the meaning of the arithmetic algorithm for the mean. I propose a narrative that logically explains the mean algorithm in order to establish the mean as an origin in a measurement of variation discourse. | |
| Publisher | AOSIS Publishing | |
| Date | 2015-06-24 | |
| Identifier | 10.4102/pythagoras.v36i1.281 | |
| Source | Pythagoras; Vol 36, No 1 (2015); 12 pages 2223-7895 1012-2346 | |
| Language | eng | |
| Relation |
The following web links (URLs) may trigger a file download or direct you to an alternative webpage to gain access to a publication file format of the published article:
https://pythagoras.org.za/index.php/pythagoras/article/view/281/427
https://pythagoras.org.za/index.php/pythagoras/article/view/281/437
https://pythagoras.org.za/index.php/pythagoras/article/view/281/428
https://pythagoras.org.za/index.php/pythagoras/article/view/281/417
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