Outputs (16)

A representational approach to developing primary ITT students' confidence in their mathematics (2013)
Journal Article
Bolden, D., Barmby, P., & Harries, A. (2013). A representational approach to developing primary ITT students' confidence in their mathematics. International Journal of Mathematical Education in Science and Technology, 44(1), 70-83. https://doi.org/10.1080/0020739x.2012.690899

Representations of mathematical concepts play an important role in understanding: both in helping learners understand the to-be-learned material and in facilitating teachers’ understanding of pedagogical processes which, in turn, are involved in deve... Read More about A representational approach to developing primary ITT students' confidence in their mathematics.

Teaching for understanding/understanding for teaching (2010)
Book Chapter
Barmby, P., Harries, A., & Higgins, S. (2010). Teaching for understanding/understanding for teaching. In I. Thompson (Ed.), Issues in teaching numeracy in primary schools (45-57). McGraw-Hill

Pre-service primary teachers’ conceptions of creativity in mathematics (2010)
Journal Article
Bolden, D., Harries, A., & Newton, D. (2010). Pre-service primary teachers’ conceptions of creativity in mathematics. Educational Studies in Mathematics, 73(2), 143-157. https://doi.org/10.1007/s10649-009-9207-z

Teachers in the UK and elsewhere are now expected to foster creativity in young children (NACCCE, 1999; Ofsted, 2003; DfES, 2003; DfES/DCMS, 2006). Creativity, however, is more often associated with the arts than with mathematics. The aim of the stud... Read More about Pre-service primary teachers’ conceptions of creativity in mathematics.

Primary mathematics: Teaching for understanding. (2009)
Book
Barmby, P., Bilsborough, L., Harries, T., & Higgins, S. (2009). Primary mathematics: Teaching for understanding. Oxford Univesity Press

Realistic contexts, mathematics assessment and social class: lessons for assessment policy from an English research programme. (2009)
Book Chapter
Cooper, B., & Harries, A. (2009). Realistic contexts, mathematics assessment and social class: lessons for assessment policy from an English research programme. In L. Verschaffel, B. Greer, W. Dooren, & S. Mukhopadhyay (Eds.), Words and worlds: modelling verbal descriptions of situations (93-110). Sense Publishers

The array representation and primary children's understanding and reasoning in multiplication (2009)
Journal Article
Barmby, P., Harries, T., Higgins, S., & Suggate, J. (2009). The array representation and primary children's understanding and reasoning in multiplication. Educational Studies in Mathematics, 70(3), 217-241. https://doi.org/10.1007/s10649-008-9145-1

We examine whether the array representation can support children’s understanding and reasoning in multiplication. To begin, we define what we mean by understanding and reasoning. We adopt a ‘representational-reasoning’ model of understanding, where u... Read More about The array representation and primary children's understanding and reasoning in multiplication.

Representing multiplication. (2008)
Journal Article
Harries, A., & Barmby, P. (2008). Representing multiplication. Mathematics teaching, 206, 37-41

What's in a picture? Understanding and Representation in Early Mathematics. (2008)
Book Chapter
Harries, A., Barmby, P., & Suggate, J. (2008). What's in a picture? Understanding and Representation in Early Mathematics. In I. Thompson (Ed.), Teaching and Learning Early Number (160-175). (2nd ed.). Open Univesity Press

Representing and Understanding Multiplication (2007)
Journal Article
Harries, A., & Barmby, P. (2007). Representing and Understanding Multiplication. Research in Mathematics Education, 9(1), 33-46. https://doi.org/10.1080/14794800008520169

In this paper, we examine the importance of representations, in particular with respect to the understanding of multiplication by primary school pupils. We first of all look at the theoretical background to representations in mathematics. In particul... Read More about Representing and Understanding Multiplication.

Exploring links across representations of numbers with young children (2006)
Journal Article
Harries, A., & Suggate, J. (2006). Exploring links across representations of numbers with young children. The international journal for technology in mathematics education, 13(2), 53-64

Numbers can be represented in a variety of ways – through pictures, diagrams, symbols. Each representation highlights different features of the number and the number system. This study aims to explore pupil understanding of number both within and acr... Read More about Exploring links across representations of numbers with young children.