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All Outputs (31)

Innovation and change within education (2023)
Book Chapter
Tymms, P., & Bolden, D. (in press). Innovation and change within education. In D. D. Preiss, M. Singer, & J. C. Kaufman (Eds.), Creativity, Innovation, and Change Across Cultures. (1). Palgrave Macmillan

‘The only constant in life is change’ (Heraclitus) and so it is with education. Children change due to maturation, culture, home and teaching. In addition, the education systems within which children find themselves also change; the systems evolve an... Read More about Innovation and change within education.

Developing ‘deep mathematical thinking’ in geometry with 3- and 4-year-olds: A collaborative study between early years teachers and University-based mathematicians (2022)
Journal Article

Mathematics in early years settings is often restricted to learning to count and identifying simple shapes. This is partly due to the narrow scope of many early years curricula and insufficient teacher training for exploring deeper mathematical conce... Read More about Developing ‘deep mathematical thinking’ in geometry with 3- and 4-year-olds: A collaborative study between early years teachers and University-based mathematicians.

Standards in Education: Reforms, Stagnation and the Need to Rethink (2020)
Journal Article
Bolden, D., & Tymms, P. (2020). Standards in Education: Reforms, Stagnation and the Need to Rethink. Oxford Review of Education, 46(6), 717-733. https://doi.org/10.1080/03054985.2020.1781608

Countries around the world are striving to improve their educational systems with a view to improving their economy and society. In this global competition, national and international test results are of considerable interest. In this paper, we show... Read More about Standards in Education: Reforms, Stagnation and the Need to Rethink.

Interdependent Cross-Age Peer Tutoring in Mathematics (2018)
Journal Article
Zeneli, M., Tymms, P., & Bolden, D. (2018). Interdependent Cross-Age Peer Tutoring in Mathematics. International journal of psychology and educational studies, 5(3), 33-50. https://doi.org/10.17220/ijpes.2018.03.004

Peer tutoring is a form of structured peer learning technique. This study develops and tests a new form of peer tutoring technique, ‘Interdependent Cross-Age Peer Tutoring’ (ICAT). The method is informed by the ‘what works literature’ within peer tut... Read More about Interdependent Cross-Age Peer Tutoring in Mathematics.

In which ways and to what extent do English and Shanghai Students Understand Linear Function' (2017)
Journal Article
Wang, Y., Barmby, P., & Bolden, D. (2017). In which ways and to what extent do English and Shanghai Students Understand Linear Function'. Research in Mathematics Education, 19(1), 66-90. https://doi.org/10.1080/14794802.2017.1287001

This study investigates how students in England and Shanghai understand linear function. Understanding is defined theoretically in terms of five hierarchical levels: Dependent Relationship; Connecting Representations; Property Noticing; Object Analys... Read More about In which ways and to what extent do English and Shanghai Students Understand Linear Function'.

Writing in Mathematics. (2017)
Book Chapter
Thompson, L., & Bolden, D. (2017). Writing in Mathematics. In A. Bushnell, & D. Waugh (Eds.), Inviting Writing: Teaching and Learning Writing Across the Primary Curriculum (32-48). SAGE Publications

The impact of interdependent cross-age peer tutoring on social and mathematics self- concepts (2016)
Journal Article
Zeneli, M., Tymms, P., & Bolden, D. (2016). The impact of interdependent cross-age peer tutoring on social and mathematics self- concepts. International journal of psychology and educational studies, 3(2), 1-13. https://doi.org/10.17220/ijpes.2016.02.001

This paper adds to the limited body of literature and concentrates on investigating the impact of a new peer tutoring framework, ‘Interdependent Cross Age-Peer Tutoring’ (ICAT), on the socio-academic process of learning of self-concepts. ICAT is info... Read More about The impact of interdependent cross-age peer tutoring on social and mathematics self- concepts.

Clustered randomised controlled trial of two education interventions designed to increase physical activity and well-being of secondary school students: The MOVE Project (2016)
Journal Article
Tymms, P., Curtis, S. E., Routen, A. C., Thomson, K. H., Bolden, D. S., Bock, S., …Kasim Adetayo, S. (2016). Clustered randomised controlled trial of two education interventions designed to increase physical activity and well-being of secondary school students: The MOVE Project. BMJ Open, 6(1), Article e009318. https://doi.org/10.1136/bmjopen-2015-009318

Objective: To assess the effectiveness of two interventions in improving the physical activity and wellbeing of secondary school children. Design: A clustered randomised controlled trial; classes, one per school, were assigned to one of three interve... Read More about Clustered randomised controlled trial of two education interventions designed to increase physical activity and well-being of secondary school students: The MOVE Project.

Understanding Linear Function: A Comparison of Selected Textbooks from England and Shanghai (2015)
Journal Article
Wang, Y., Barmby, P., & Bolden, D. (2017). Understanding Linear Function: A Comparison of Selected Textbooks from England and Shanghai. International Journal of Science and Mathematics Education, 15(1), 131-153. https://doi.org/10.1007/s10763-015-9674-x

This study describes a comparison of how worked examples in selected textbooks from England and Shanghai presented possible learning trajectories towards understanding linear function. Six selected English textbooks and one Shanghai compulsory textbo... Read More about Understanding Linear Function: A Comparison of Selected Textbooks from England and Shanghai.

How Young Children View Mathematical Representations: A study using eye-tracking technology (2014)
Journal Article
Bolden, D., Barmby, P., Raine, S., & Gardner, M. (2015). How Young Children View Mathematical Representations: A study using eye-tracking technology. Educational Research, 57(1), 59-79. https://doi.org/10.1080/00131881.2014.983718

Background: It has been shown that mathematical representations can aid children’s understanding of mathematical concepts but that children can sometimes have difficulty in interpreting them correctly. New advances in eye-tracking technology can help... Read More about How Young Children View Mathematical Representations: A study using eye-tracking technology.

Making numbers come to life: Two scoring methods for creativity in Aurora's Cartoon Numbers (2013)
Journal Article
Tan, M., Mourgues, C., Bolden, D., & Grigorenko, E. (2014). Making numbers come to life: Two scoring methods for creativity in Aurora's Cartoon Numbers. Journal of Creative Behavior, 48(1), 25-43. https://doi.org/10.1002/jocb.39

Although creativity has long been recognized as an important aspect of mathematical thinking, both for the advancement of the field and in students' developing expertise in mathematics, assessments of student creativity in that domain have been limit... Read More about Making numbers come to life: Two scoring methods for creativity in Aurora's Cartoon Numbers.

Developing the use of diagrammatic representations in primary mathematics through professional development (2013)
Journal Article
Barmby, P., Bolden, D., Raine, S., & Thompson, L. (2013). Developing the use of diagrammatic representations in primary mathematics through professional development. Educational Research, 55(3), 263-290. https://doi.org/10.1080/00131881.2013.825164

Background: The research on diagrammatic representations highlights their importance for the teaching and learning of mathematics. However, the empirical evidence to support their use in the classroom is mixed and somewhat lacking. Purpose: The aim o... Read More about Developing the use of diagrammatic representations in primary mathematics through professional development.

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.

Creativity in mathematics. (2012)
Book Chapter
Bolden, D. (2012). Creativity in mathematics. In L. Newton (Ed.), Creativity for a New Curriculum: 5-11. Routledge