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- W64488928 abstract "concepts, processes and/or strategies additional to those expected as part of the understanding of the question are indicated by an open circle (o). Lines then connect these concepts or processes to the responses (n) they produce which can be intermediate or final. Intermediate responses lead back to further concepts and processes being applied. This is shown by arrows. Although the mapping procedure proved useful for visually representing the mathematical processing and cognitive demand of two upper secondary applications problems (Stillman & Galbraith, 1998), this procedure is not without limitations. For example, task analysis maps for the mathematically equivalent tasks A and B in Figure 2 show that task B, embedded in the context of bacterial levels in a swimming pool, is higher in cognitive demand as there are more data involved than in Task A (Figure 3). However, the maps do not appear to provide insight into why this context made the mathematical processing virtually inaccessible for a large number of Year 10 students who attempted the task despite previously solving decontextualised problems similar to Task A. Task A: Given C = 30t2 240t + 500 (0≤ t ≤ 4). Solve for t when C = 140. Task B: A swimming pool is treated to control the growth of harmful bacteria. Suppose for the first four days after treatment, the bacteria count, C, per cubic centimetre, is given by C = 30t2 240t + 500 (0≤ t ≤ 4) where t is the number of days after treatment. After how many days will the bacteria count be 140? Figure 2. Two mathematically equivalent tasks. 24th Annual MERGA Conference, Sydney, July 2001 461 t is no. of days after treatment Question Data Cues Concepts/" @default.
- W64488928 created "2016-06-24" @default.
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- W64488928 date "2001-01-01" @default.
- W64488928 modified "2023-09-27" @default.
- W64488928 title "Development of a new research tool: The cognitive demand profile" @default.
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