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——, ‘Chapter 5: Developing Multiplicative Thinking’, Developing number sense: progression in the middle years (Continuum 2007) <https://contentstore.cla.co.uk/secure/link?id=7784ef31-2442-e711-80cb-005056af4099>
Askew M, ‘Chapter 2: Thinking about Learning’, Transforming primary mathematics: understanding classroom tasks, tools and talk (Updated and revised edition, Routledge 2016) <http://www.tandfebooks.com/isbn/9781315667256>
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Barmby P and others, ‘The Array Representation and Primary Children’s Understanding and Reasoning in Multiplication’ (2009) 70 Educational Studies in Mathematics 217
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Cotton T, ‘Chapter 7: Understanding Shape’, Understanding and teaching primary mathematics (2nd ed, Routledge 2014) <https://ebookcentral.proquest.com/lib/ucl/reader.action?docID=1682971&ppg=149>
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English R, ‘Chapter 6: Arithmetic with Fractions, Decimals, Percentages and Ratios’, Teaching arithmetic in primary schools, vol Transforming primary QTS (SAGE 2013) <https://contentstore.cla.co.uk/secure/link?id=0579766d-33e2-ea11-80cd-005056af4099>
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Gifford S, ‘Chapter 8: Number’, Teaching mathematics 3-5: developing learning in the foundation stage (Open UP 2005) <https://ebookcentral.proquest.com/lib/ucl/detail.action?docID=287879>
——, Teaching Mathematics 3-5: Developing Learning in the Foundation Stage (Open UP 2005) <https://ebookcentral.proquest.com/lib/ucl/detail.action?docID=287879>
Hansen A, ‘Chapter 2: Errors and Misconceptions: The Teacher’s Role’, Children’s errors in mathematics, vol Transforming primary QTS (3rd edition, SAGE Publications 2014) <https://contentstore.cla.co.uk/secure/link?id=bf20a351-6e1b-e711-80c9-005056af4099>
——, ‘Number: Fractions, Decimals and Percentages’, Children’s errors in mathematics, vol Transforming primary QTS (3rd edition, SAGE Publications 2014)
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Haylock D and Manning R, ‘Chapter 4: Key Processes in Mathematical Reasoning’, Mathematics explained for primary teachers (5th edition, SAGE Publications 2014) <https://contentstore.cla.co.uk/secure/link?id=1a1d5558-6e1b-e711-80c9-005056af4099>
——, ‘Chapter 5: Modelling and Problem Solving’, Mathematics explained for primary teachers (5th edition, SAGE Publications 2014) <https://contentstore.cla.co.uk/secure/link?id=1b1d5558-6e1b-e711-80c9-005056af4099>
Haylock D and Manning R, Mathematics Explained for Primary Teachers (6th edition, SAGE Publications 2019)
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Hughes M, ‘Chapter 4: What’s so Hard about Two and Two?’, Children and number: difficulties in learning mathematics (Basil Blackwell 1986) <https://contentstore.cla.co.uk/secure/link?id=f048b80f-6e1b-e711-80c9-005056af4099>
Kerslake D, ‘Visual Mathematics’ Mathematics in school 34 <https://contentstore.cla.co.uk/secure/link?id=f8f450dc-6d1b-e711-80c9-005056af4099>
Maulfry Worthington and Elizabeth Carruthers, ‘Research Uncovers Children’s Creative Mathematical Thinking’ (2003) 7 Primary Mathematics (Mathematics Association). 21 <https://www.childrens-mathematics.net/our-publications-1/>
Nunes T and others, ‘Fractions: Difficult but Crucial in Mathematics Learning’ <https://primarysite-prod-sorted.s3.amazonaws.com/stavertonwilts/UploadedDocument/9c7dd42517224ac3a064a585209fab36/fractions.pdf>
Plunkett S, ‘Decomposition and All That Rot’ Mathematics in school 2 <https://contentstore.cla.co.uk/secure/link?id=f9f450dc-6d1b-e711-80c9-005056af4099>
Richard R. Skemp, ‘Relational Understanding and Instrumental Understanding’ (2006) 12 Mathematics Teaching in the Middle School 88 <http://www.jstor.org/stable/41182357?seq=1#page_scan_tab_contents>
Rickard C, ‘Data Handling’, Primary mathematics for trainee teachers, vol Transforming primary QTS (SAGE 2014) <https://contentstore.cla.co.uk/secure/link?id=32ffa129-b846-e711-80cb-005056af4099>
Ryan J and Williams J, ‘Chapter 2: Learning from Errors and Misconceptions’, Children’s mathematics 4-15: learning from errors and misconceptions (Open University P 2007) <https://contentstore.cla.co.uk/secure/link?id=dfda47f6-6d1b-e711-80c9-005056af4099>
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Thompson I, ‘Deconstructing Calculation Methods, Part 2: Subtraction’ [2007] Mathematics teaching 6 <https://contentstore.cla.co.uk/secure/link?id=a69723d6-6d1b-e711-80c9-005056af4099>
——, ‘Deconstructing Calculation, Part 1: Addition’ [2007] Mathematics teaching 14 <https://contentstore.cla.co.uk/secure/link?id=a59723d6-6d1b-e711-80c9-005056af4099>
Thompson I, ‘Chapter 12. Getting Your Head around Mental Calculation’, Issues in teaching numeracy in primary schools (2nd ed, Open University Press 2010) <http://www.vlebooks.com/vleweb/product/openreader?id=UCL&isbn=9780335241545>
Van Hiele, Pierre M., ‘Developing Geometric Thinking through Activities That Begin with Play’ (1999) 5 Teaching Children Mathematics 310 <http://sfx.ucl.ac.uk/sfx_local?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2017-06-13T10%3A54%3A27IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-eric&rft_val_fmt=info:ofi/fmt:kev:mtx:article&rft.genre=article&rft.atitle=Developing%20Geometric%20Thinking%20through%20Activities%20That%20Begin%20with%20Play.&rft.jtitle=Teaching%20Children%20Mathematics&rft.btitle=&rft.aulast=&rft.auinit=&rft.auinit1=&rft.auinitm=&rft.ausuffix=&rft.au=van%20Hiele,%20Pierre%20M.&rft.aucorp=&rft.date=1999&rft.volume=5&rft.issue=6&rft.part=&rft.quarter=&rft.ssn=&rft.spage=310&rft.epage=16&rft.pages=310&rft.artnum=&rft.issn=1073-5836&rft.eissn=&rft.isbn=&rft.sici=&rft.coden=&rft_id=info:doi/&rft.object_id=&svc_val_fmt=info:ofi/fmt:kev:mtx:sch_svc&svc.fulltext=yes&rft_dat=%3Ceric%3EEJ580493%3C/eric%3E%3Curl%3E%3C/url%3E&rft.eisbn=&rft_id=info:oai/&req.language=eng>
‘Working with Luke’ <http://nrich.maths.org/6688>
