Askew, M. (2018) ‘Multiplicative Reasoning: Teaching Primary Pupils in Ways That Focus on Functional Relations’, Curriculum Journal, 29(3).
Austen, J. (2024) Small numbers, big ideas : essential concepts for teaching early maths [print]. Melton: John Catt. Available at: https://linker2.worldcat.org/?jHome=https%3A%2F%2Foxfordbrookes.idm.oclc.org%2Flogin%3Furl%3Dhttp%3A%2F%2Fwww.vlebooks.com%2Fvleweb%2Fproduct%2Fopenreader%3Fid%3DOxfBrookes%26isbn%3D9781036003722%26uid%3D%5Eu&linktype=best&jHomeSig=1eafe5f70f13cb5b499c1c8b3d653e98c4c015bfede8e145615d8ab42d442e7c.
Balbir, A. (2014a) ‘Multiplication and Division (Chapter 5)’, in Primary mathematics for trainee teachers. London: SAGE Publications, pp. 77–98.
Balbir, A. (2014b) ‘Multiplication and Division (Chapter 5)’, in Primary mathematics for trainee teachers. London: SAGE Publications, pp. 77–98.
Benson, D. (2014) ‘Division: what do we mean by “efficient methods”?’, Mathematics Teaching, (239), pp. 31–34. Available at: https://oxfordbrookes.idm.oclc.org/login?url=https://search.ebscohost.com/login.aspx?direct=true&db=a9h&AN=94752484&site=ehost-live.
Boaler, J. (2015) ‘Fluency Without Fear: Research Evidence on the Best Ways to Learn Math Facts’. Available at: https://www.youcubed.org/wp-content/uploads/2017/09/Fluency-Without-Fear-1.28.15.pdf.
Carpenter, T.P. (198302) ‘The effect of instruction on children’s solutions of addition and subtraction word problems’, Educational Studies in Mathematics : An International Journal, 14(1). Available at: https://doi.org/10.1007/BF00704702.
Cockburn, A. and Littler, G.H. (2008) Mathematical misconceptions: a guide for primary teachers. London: SAGE.
Department for Education (2015) National curriculum in England: primary curriculum. Available at: https://www.gov.uk/government/publications/national-curriculum-in-england-primary-curriculum.
Department for Education (2021) Teaching mathematics in primary schools: Guidance for teaching mathematics at key stages 1 and 2 to help pupils progress through the national curriculum. Available at: https://www.gov.uk/government/publications/teaching-mathematics-in-primary-schools.
Department for Education (no date) ‘Early years foundation stage (EYFS) statutory framework for group and school-based providers’. London: Department for Education. Available at: https://assets.publishing.service.gov.uk/media/687105a381dd8f70f5de3ea9/EYFS_framework_for_group_and_school_based_providers_.pdf.
Effie, M. (2008) ‘Chapter 6 - Counting: what it is and why it matters’, in Teaching and Learning Early Number. Maidenhead: McGraw-Hill International (UK) Ltd, pp. 73–81.
Gates, P. (2001) Issues in mathematics teaching. London: RoutledgeFalmer.
Gelman, R. and Gallistel, C.R. (no date) ‘The counting model’, in The child’s understanding of number. Cambridge, Mass: Harvard University Press, pp. 73–82. Available at: https://ebookcentral.proquest.com/lib/brookes/reader.action?docID=3300437&ppg=90.
Haylock, D. (2024) Mathematics explained for primary teachers. 7th edition. London: SAGE.
Learning Trajectories (no date). Available at: https://www.learningtrajectories.org/.
Mackle, K. (2017) Tackling misconceptions in primary mathematics: preventing, identifying and addressing children’s errors. London: Routledge, Taylor & Francis Group.
‘Mental Maths: just about what we do in our heads?’ (no date). Available at: https://bura.brunel.ac.uk/bitstream/2438/22440/2/FullText.pdf.
Mulligan, J.T. and Mitchelmore, M.C. (1997) ‘Young Children’s Intuitive Models of Multiplication and Division.’, Journal for Research in Mathematics Education, 28(3).
National Centre for Excellence in the Teaching of Mathematics (2015) ‘Calculation guidance for primary schools’. Available at: https://www.ncetm.org.uk/media/k20boquz/ncetm-calculation-guidance-october-2015.pdf.
NCETM (no date a) Exemplification of ready-to-progress criteria. Available at: https://www.ncetm.org.uk/classroom-resources/exemplification-of-ready-to-progress-criteria/.
NCETM (no date b) Fractions: Spine 3 of the Primary Mastery Professional Development Materials. Available at: https://www.ncetm.org.uk/teaching-for-mastery/mastery-materials/primary-mastery-professional-development/fractions/.
NCETM (no date c) Number Facts. Available at: https://www.ncetm.org.uk/classroom-resources/lv-number-facts/.
Newstead, K. (no date) ‘Aspects of Children’s Mathematics Anxiety’, Educational Studies in Mathematics, 36(1).
OFSTED (2011) Good practice in primary mathematics: evidence from successful schools. Available at: https://www.gov.uk/government/publications/good-practice-in-primary-mathematics-evidence-from-successful-schools.
Resourceaholic: Topics in Depth Project (no date). Available at: https://www.resourceaholic.com/p/topics-in-depth.html.
Thompson, I. (2003a) ‘Place value: the English disease?’, in Enhancing primary mathematics teaching. Buckingham: Open University Press, pp. 181–190. Available at: https://ebookcentral.proquest.com/lib/brookes/reader.action?docID=295497&ppg=196.
Thompson, I. (2003b) ‘Putting place value in its place’, Mathematics Teaching, (184), pp. 14–15. Available at: https://oxfordbrookes.idm.oclc.org/login?url=https://search.ebscohost.com/login.aspx?direct=true&db=a9h&AN=10798529&site=ehost-live.
Thompson, I. (2008) Teaching and Learning Early Number, Chapter 2: Children’s beliefs about counting. Maidenhead: McGraw-Hill International (UK) Ltd.
Thompson, I. and Bramald, R. (no date) ‘An investigation of the relationship between young children’s understanding of the concept of place value and their competence at mental addition’. ATM. Available at: https://atm.org.uk/write/MediaUploads/Journals/MT184/Non-Member/ATM-MT184-14-15-Extra.pdf.
Wilkie, K.J. and Roche, A. (2022) ‘Primary teachers’ preferred fraction models and manipulatives for solving fraction tasks and for teaching’, Journal of Mathematics Teacher Education, 26(6), pp. 703–733. Available at: https://doi.org/10.1007/s10857-022-09542-7.
Winch, C., Oancea, A. and Orchard, J. (2015) ‘The contribution of educational research to teachers’ professional learning: philosophical understandings’, Oxford Review of Education, 41(2), pp. 202–216.
Witt, M. (ed.) (2014) Primary mathematics for trainee teachers. Los Angeles: Learning Matters.
Young-Loveridge, J. (no date) ‘The acquisition of numeracy’. Available at: https://www.nzcer.org.nz/system/files/journals/set/downloads/set1999_1_012.pdf.