Scaling Up Innovative Technology-Based Mathematics

We report on the initial attempts at evaluating at scale a particular technological/curricular innovation that enables more students to develop deeper knowledge. The methods, issues, and findings of the current pilot experiment speak not only to the success of SimCalc MathWorlds, the focus of our research program, but also to the evaluation at scale of a broad class of representationally innovative technologies and to the merit of long-term investment in design-based research. In particular, we present conditions and findings from a completed pilot experiment involving 21 seventh-grade mathematics teachers from Texas. Pilot outcomes suggest that (a) innovative representational technologies can have an important impact on student learning, (b) considerable impact can be found across a wide range of teachers and conditions, and (c) these gains can be detected even in the absence of other desirable conditions. In particular, detection of student gains does not, in our case, depend on having a long-term context of learning, long-term teacher professional development, or a shift to learner-centered constructivist pedagogy. The full experiment will replicate and extend our experimental design with a wider range of teachers and schools, model the factors that contribute to classroom success with such technology, and explore what happens as research support fades away.     

No science today—the demise of primary science

In this second article on the theory of ‘ground rules for talk’ I extend a debate between myself and Professor Neil Mercer over the introduction of ‘ground rules’ into classrooms. I critique ground rules through the use of sociological theory and argue that advocates of the ground rules perspective need to recognise the ideological nature of their theoretical position. In making this article a clear extension of my previous argument I introduce the work of Bernstein and Fairclough to support my new arguments. I use Bernstein's theory of pedagogy as cultural relay and Fairclough's appropriateness model of language variation to critique ‘ground rules perspectives’. In doing so, I draw out the political nature of educational theory and curriculum within the context of a specific socio-economic society.     

MATURE STUDENTS IN HIGHER EDUCATION

The performance in the two major courses of the Dip H.E. at Doncaster Metropolitan Institute is compared between matriculated and non‐matriculated students, and between those with and without recent previous study experience. While in the first year of the course a difference is found between the performance of matriculated and non‐matriculated students, this disappears when tuition in examination techniques is provided. Pre‐entry study is not found to affect performance.     

Demystifying the rubric: a five-step pedagogy to improve student understanding and utilisation of marking criteria

Marking-criteria rubrics are commonly used to judge the quality of student work, but few students receive instruction to effectively use and apply rubrics. This study investigates an intervention designed to encourage effective utilisation of rubrics. The study, completed over two years (2011: n?=?189 respondents; 2012: n?=?464 respondents) in a large first-year course, explored how five instructional activities, used formatively and sequentially impacted student learning. This intervention comprised: (1) deconstruction of the rubric and standardising the marking method; (2) examples and exemplars; (3) peer review; (4) self-review; and (5) a reflective diary. Results showed an increase in student confidence with marking criteria and assessment (89% in 2011) and a statistically significant improvement in marks. Most students (77% in 2011 and 90% in 2012) rated each intervention as useful. Student feedback indicated that substantial changes occurred between initial drafts and final submission, which resulted in improvements in student performance scores.