Designing a curriculum based on four purposes: let mathematics speak for itself

ABSTRACT

Trends in curriculum reform recognise the need to develop skills and competencies in addition to specifying what knowledge should be taught and when. However, a balance between skills and knowledge is sometimes difficult to achieve. In this paper which takes mathematics as the focus, we consider reform currently underway in Wales, from the perspective of a ‘knowledge approach’ and from the perspective of the Successful Futures report which is, we argue, driven more by a skills approach at the heart of which are ‘four purposes’: developing young people as ambitious, capable learners; enterprising, creative contributors; ethical, informed citizens; and healthy, confident individuals. Our interest is in the contribution that mathematics makes to the four purposes; and contribution that the four purposes make (or do not make) to the development of a school mathematics curriculum. After outlining the background and context, the paper consults literature and experts to consider what mathematics is and how the learning of mathematics can be seen to fulfil the four purposes. The study contributes to understanding the difficulties of re-contextualising school subjects from the academic disciplines and proposes that operating with a curriculum driven by big ideas or overarching statements places higher demands on teacher knowledge.

KEYWORDS:

• Big ideas
• mathematics
• skills
• knowledge
• curriculum

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Notes on contributors

Sofya Lyakhova

Sofya Lyakhova is an Associate Professor in Mathematics at Swansea University, UK. Since 2010 she has been leading the Further Mathematics Support Programme Wales funded by the Welsh Government.

Marie Joubert

Marie Joubert is the research coordinator for the National Network for Excellence in Mathematics in Wales and is based in the mathematics department of Swansea University. Her research interests, located mainly in the field of mathematics education, relate to: teacher professional development; the use of technology in the mathematics classroom; and curriculum reform.

Mary Margaret Capraro

Mary Margaret Capraro is Professor of Mathematics Education at Texas A&M University and Co-Director of Aggie STEM. Her research interests include teacher beliefs about mathematics, problem solving, and cultural influences on mathematics achievement.

Robert M. Capraro

Robert M. Capraro is a Professor of Mathematics Education at Texas A&M University and Co-Director of Aggie STEM. His research interests include equity, quantitative methods, and representational factors influencing mathematics achievement.