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Title: Teachers’ appraisals of adjectives relating to mathematics tasks
Authors: Foster, Colin
Inglis, Matthew
Keywords: Mathematical knowledge for teaching
Task appraisals
Task characteristics
Task design in mathematics
Issue Date: 2017
Publisher: Springer © The Authors
Citation: FOSTER, C. and INGLIS, M., 2017. Teachers’ appraisals of adjectives relating to mathematics tasks. Educational Studies in Mathematics, 95 (3), pp. 283–301.
Abstract: Curricular implementations are unlikely to deliver the anticipated benefits for mathematics learners if written guidance to teachers is interpreted and enacted differently from the ways that policymakers and curriculum designers intend. One way in which this could happen is in relation to the mathematics tasks that teachers deploy in the classroom. Teachers and curriculum designers have developed an extensive vocabulary for describing tasks, using adjectives such as ‘rich’, ‘open’, ‘real-life’, ‘engaging’ and so on. But do teachers have a shared understanding of what these adjectives mean when they are applied to mathematics tasks? In Study 1 we investigated teachers’ appraisals of adjectives used to describe mathematics tasks, finding that task appraisals vary on seven dimensions, which we termed engagement, demand, routineness, strangeness, inquiry, context and interactivity. In Study 2, focusing on the five most prominent dimensions, we investigated whether teachers have a shared understanding of the meaning of adjectives when applied to mathematics tasks. We found that there was some agreement about inquiry and context, some disagreement about routineness, and clear disagreement about engagement and demand. We conclude that at least some adjectives commonly used to describe tasks are interpreted very differently by different teachers. Implications for how tasks might be discussed meaningfully by teachers, teacher educators and curriculum designers are highlighted.
Description: This is an Open Access Article. It is published by Springer under the Creative Commons Attribution 4.0 Unported Licence (CC BY). Full details of this licence are available at: http://creativecommons.org/licenses/by/4.0/
Sponsor: This work was partly funded by a Royal Society Worshipful Company of Actuaries Research Fellowship (to MI).
Version: Published version
DOI: 10.1007/s10649-017-9750-y
URI: https://dspace.lboro.ac.uk/2134/24156
Publisher Link: http:dx.doi.org/10.1007/s10649-017-9750-y
ISSN: 0013-1954
Appears in Collections:Published Articles (Maths)

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