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Modelling Mathematics Problem Solving Item Responses Using A Multidimensional Irt Model, Margaret Wu, Ray Adams
Modelling Mathematics Problem Solving Item Responses Using A Multidimensional Irt Model, Margaret Wu, Ray Adams
Prof Ray Adams
This research examined students' responses to mathematics problem- solving tasks and applied a general multidimensional IRT model at the response category level. In doing so, cognitive processes were identified and modelled through item response modelling to extract more information than would be provided using conventional practices in scoring items. More specifically, the study consisted of two parts. The first part involved the development of a mathematics problem-solving framework that was theoretically grounded, drawing upon research in mathematics education and cognitive psychology. The framework was then used as the basis for item development. The second part of the research involved the …
Response To 'Cautions On Oecd's Recent Educational Survey (Pisa), Ray Adams
Response To 'Cautions On Oecd's Recent Educational Survey (Pisa), Ray Adams
Prof Ray Adams
This paper refers to the work of S J Prais who questioned the outcomes of the Organisation for Economic Cooperation and Development's PISA survey of the reading, mathematics and science attainments of fifteen year-olds. Prais suggested that methodological flaws in Programme for International Student Assessment (PISA) had resulted in an apparent improvement in the attainment of British students, particularly when compared to their Swiss and German counterparts. This paper responds to Prais's criticisms, noting that when Prais's conjectures are tested with empirical data they are not supported. The author argues that many of Prais's criticisms are due to an incomplete …
International Student Assessment For The New Millennium, Ray Adams
International Student Assessment For The New Millennium, Ray Adams
Prof Ray Adams
The author briefly describes the OECD initiated project, 'Program for International Student Assessment' (PISA), in which over 100,000 15 year old students from 4000 schools in 26 countries will participate. A major focus of the project is the assessment of wider knowledge, skills and competencies in literacy, mathematics and science areas.
Bias In Weighted Likelihood Estimation When Using The Rasch Model, D Roberts, Ray Adams
Bias In Weighted Likelihood Estimation When Using The Rasch Model, D Roberts, Ray Adams
Prof Ray Adams
There are three methods of maximum likelihood estimation that are commonly used with Rasch item response models: Joint maximum likelihood, which provides point estimates for both person and item parameters; conditional maximum likelihood, which produces estimates for the item parameters only, and marginal maximum likelihood, which produces estimates of the item parameters and parameters of the distribution from which it has been assumed that the persons have been sampled. A number of approaches have been suggested for obtaining ability estimates for subsequent use in reporting or analysis when either conditional or marginal methods have been used to obtain the item …