Improving statistical skills through students’ participation in the development of resources

This paper summarizes the evaluation of a project that involved undergraduate mathematics students in the development of teaching and learning resources for statistics modules taught in various departments of a university. This evaluation regards students’ participation in the project and its impact on their learning of statistics, as characterized in terms of statistical reasoning, statistical thinking, and skills for statistical consultancy. The participation of students is evaluated from the viewpoint of communities of practice. The evaluation resulted in a characterization of the benefits of such a project and suggestions for implementations of future projects, and in addition brought to light new theoretical elements both as regards the learning of statistics and as regards communities of practice. In particular, the analysis highlighted contributions of the students involved to resource development practice in the community of university statistics teachers, as well as contributions to students’ learning as a result of participation in this community

Equations in a consumer culture: mathematical images in advertising

Affect energises the learning and use of mathematics; a key influence comes from the images of mathematics available in society. We sought advertisements containing such ‘images’ (e.g. mathematical expressions, equations or graphs) in 1600 editions of UK newspapers, over two recent three-month periods. We found that 4.7% of editions included a ‘mathematical’ advert, compared with 1.7% found in the pilot for 1994-2003. This supports the idea that mathematical images are being used more in advertising, paralleling the increase observed anecdotally in films. The incidence varied from 8.2% among the ‘quality’ papers, to 2.3% in mid-market, to 0.6% among the ‘populars’, suggesting a correlation with the social class of the readershi

Matemáticas en la educación infantil: facilitando un buen inicio. Declaración conjunta de posición

Declaración conjunta de posición de la National Association for the Education of Young Children (Asociación Nacional para la Educación Infantil, NAEYC) y el National Council of Teachers of Mathematics (Consejo Nacional de Profesores de Matemáticas, NCTM) sobre Matemáticas en la Educación Infantil. Adoptada en 2002. Actualizada en 2010

Mathematics in different settings: plenary panel.

When we think about the title “Mathematics in different settings”, a number of questions arise. For example: • How many mathematics are there – one or many? Is there a mathematics that is “prior to”, or independent of, any setting? • What (who) is it that makes settings “different”? And how does this relate to social differences among people? • What is an appropriate typology of different settings – for research or for curriculum design purposes? Relatedly, we might ask: who decides what is “important”? • What is the nature of relations among policy arrangements, research and educational institutional settings? • How are different settings represented in mathematics teaching and assessment? • What is the relationship of mathematics education researchers to any setting

わが国の数学教育について：数学教育史概観

広島経済大学経済学会　2007年度第８回研究集会〔2008年１月17日（木）〕報告要

An odd pair of axioms bring semigroups fairly near the group

It is well-known that a semigroup is a group if it has a right-identity and right-inverses. A question was raised by H. Suzuki as to whether it is the case if a semigroup has a right-identity and left-inverses. The present note shows that although it is impossible to exclude oddities, these oddities can be expelled into a plain direct-product factor

Developing mathematical fluency: comparing exercises and rich tasks

Achieving fluency in important mathematical procedures is fundamental to students’ mathematical development. The usual way to develop procedural fluency is to practise repetitive exercises, but is this the only effective way?This paper reports three quasi experimental studies carried out in a total of 11 secondary schools involving altogether 528 students aged 12–15. In each study, parallel classes were taught the same mathematical procedure before one class undertook traditional exercises while the other worked on a "mathematical etude" (Foster International Journal of Mathematical Education in Science and Technology, 44(5), 765–774, 2013b), designed to be a richer task involving extensive opportunities for practice of the relevant procedure. Bayesian t tests on the gain scores between pre- and post-tests in each study provided evidence of no difference between the two conditions. A Bayesian meta-analysis of the three studies gave a combined Bayes factor of 5.83, constituting Bsubstantial^ evidence (Jeffreys, 1961) in favour of the null hypothesis that etudes and exercises were equally effective, relative to the alternative hypothesis that they were not. These data support the conclusion that the mathematical etudes trialled are comparable to traditional exercises in their effects on procedural fluency. This could make etudes a viable alternative to exercises, since they offer the possibility of richer, more creative problem-solving activity, with comparable effectiveness in developing procedural fluency