1
Askew M. Chapter 2: It ain’t (just) what you do: effective teachers of numeracy. In: Thompson I, ed. Issues in teaching numeracy in primary schools. Buckingham: Open University Press 2010:31–44.
2
Brown M. Chapter 13: Debates in mathematical curriculum and assessment. Debates in mathematics education. New York, NY: Routledge 2013.
3
Aldrich R, Crook D. Mathematics, arithmetic and numeracy: an historical perspective. Why learn maths?. London: Institute of Education, University of London 2000:26–47.
4
Learning Outside the Classroom Manifesto.
5
Ernest P. Why teach mathematics? Why learn maths?. London: Institute of Education, University of London 2000:1–14.
6
Hansen A, Vaukins D. Chapter 1: Mathematics as a Core Skill. Primary mathematics across the curriculum. Los Angeles: SAGE 2012:5–29.
7
Noyes A. Mathematics counts... for what? Rethinking the mathematics curriculum in England. Philosophy of Mathematics Education Journal. ;21.
8
Carraher TN, Carraher DW, Schliemann AD. Mathematics in the streets and in schools. British Journal of Developmental Psychology. 1985;3:21–9. doi: 10.1111/j.2044-835X.1985.tb00951.x
9
Ofsted. Mathematics : made to measure : messages from inspection evidence.
10
Reynolds D, Muijs D. Numeracy matters: contemporary policy issues in the teaching of mathematics. Issues in teaching numeracy in primary schools. Maidenhead: Open University Press 2010:17–26.
11
Pitt A. Mathematical thinking? Mathematics teaching. ;181:3–5.
12
David W Stinson. Mathematics as ‘Gate-Keeper’ (?): Three Theoretical Perspectives that Aim Toward Empowering All Children With a Key to the Gate. The Mathematics Educator. 2004;14.
13
Askew M. Chapter 9: Teaching tripod: tasks. Transforming primary mathematics: understanding classroom tasks, tools and talk. London: Routledge 2016:97–108.
14
Sriraman B, English L. Problem solving for the 21st Century. Theories of mathematics education: seeking new frontiers. Heidelberg: Springer 2010.
15
Barmby P, Bolden D, Thompson L. Chapter 5: Reasoning with problems. Understanding and enriching problem solving in primary mathematics. Northwich: Critical Publishing 2014:46–61.
16
Monaghan F. ‘Don’t think in your head, think aloud’: ICT and exploratory talk in the primary mathematics classroom. Research in Mathematics Education. 2005;7:83–100. doi: 10.1080/14794800008520147
17
Pope S. The use of origami in the teaching of geometry. Proceedings of the British Society for Research into Learning Mathematics. 2002;22:67–73.
18
Back J. Creative Approaches to Mathematics Across the Curriculum : nrich.maths.org. Published Online First: 2005.
19
Barnes J. Cross-curricular learning 3-14. Third edition. London: SAGE 2015.
20
Barnes J. Chapter 5: What does neuro-science tell us about cross-curricular learning? Cross-curricular learning 3-14. London: SAGE 2015.
21
Boaler J. Chapter 9: What does neuro-science tell us about cross-cultural learning? Mathematical mindsets: unleashing students’ potential through creative math, inspiring messages, and innovative teaching. San Francisco, CA: Jossey-Bass & Pfeiffer Imprints 2016:171–208.
22
Fox S, Surtees L. Mathematics across the curriculum: problem-solving, reasoning, and numeracy in primary schools. London: Continuum 2010.
23
Hansen A, Vaukins D. Primary mathematics across the curriculum. 2nd ed. Los Angeles: SAGE 2012.
24
NicMhuirí S. Teacher, do you know the answer? Initial attempts at the facilitation of a discourse community. Proceedings of the British Society for Research into Learning Mathematics. 119–24.
25
Williams, Helen. To What Extent Might Role Play Be a Useful Tool for Learning Mathematics? Mathematics Teaching. 2012;17–20.
26
Cai J, Lester F. Why is teaching with problem solving important to student learning? Problem Solving Research Brief.
27
Cai J. What research tells us about teaching mathematics through problem solving. Research and issues in teaching mathematics through problem solving. 2003;241–54.
28
Barmby P, Bolden D, Thompson L. Understanding and enriching problem solving in primary mathematics. Northwich: Critical Publishing 2014.
29
Burkhardt H, Bell A. Problem Solving in the United Kingdon. ZDM-International Journal on Mathematics Education. 2007;39.
30
Fox S, Surtees L. Mathematics across the curriculum: problem-solving, reasoning, and numeracy in primary schools. London: Continuum 2010.
31
Pratt N. Chapter 5: Thinking, talking and acting mathematically. Interactive maths teaching in the primary school. London: Paul Chapman 2006:48–67.
32
Sangster M. The rise and fall of an investigative approach to mathematics in primary education. Proceedings of the British Society for Research into Learning Mathematics.
33
Susan J. Lamon, 1949-. Teaching fractions and ratios for understanding essential content knowledge and instructional strategies for teachers / Susan J. Lamon.
34
Wilson E. Introduction: Why should teachers do school-based research? School-based research: a guide for education students. Los Angeles: London 2012:1–10.
35
Biggs JB, Tang CS, Society for Research into Higher Education. Teaching for quality learning at university: what the student does. 4th ed. Maidenhead: McGraw-Hill/Society for Research into Higher Education & Open University Press 2011.
36
Stein MK, Engle RA, Smith MS, et al. Orchestrating Productive Mathematical Discussions: Five Practices for Helping Teachers Move Beyond Show and Tell. Mathematical Thinking and Learning. 2008;10:313–40. doi: 10.1080/10986060802229675
37
Rowland T, Turner F, Thwaites A, et al. Chapter 3: Transformation: using and understanding representations in mathematics teaching. Developing primary mathematics teaching: reflecting on practice with the Knowledge Quartet. London: SAGE 2009:41–66.
38
Ell F. Strategies and thinking about number in children aged 9-11 Years.
39
Delaney K. Making connections: teachers and children using resources effectively. Issues in teaching numeracy in primary schools. Maidenhead: Open University Press 2010:72–83.
40
Bruse CD. Student Interaction in the Math Classroom: Stealing Ideas or Building Understanding? 2007.
41
Brosnan P, Schmidlin A, Grant MR. Successful mathematics achievement is attainable. International guide to student achievement. New York: Routledge 2013.
42
Barmby P, Bolden D, Thompson L. Chapter 6: Assessing Problem Solving. Understanding and enriching problem solving in primary mathematics. Northwich: Critical Publishing 2014:74–88.
43
Scaffolding Students’ Thinking in Mathematical Investigations. Australian Primary Mathematics Classroom. 2009;14:27–32.
44
Wheeldon, Irene. Peer Talk. Mathematics Teaching Incorporating Micromath. 2006;199:39–41.
45
Askew M. Chapter 11: Teaching tripod: talk. Transforming primary mathematics. London: Routledge 2016.
46
Askew M. Chapter 10: Teaching Tripod: Tools. Transforming primary mathematics: understanding classroom tasks, tools and talk. London: Routledge 2016:109–27.
47
Kyriacou C, Issitt J. Teacher-pupil dialogue in mathematics lessons. Proceedings of the British Society for Research into Learning Mathematics. 2007.
48
Beishuizen M. The empty number line. In: Thompson I, ed. Issues in teaching numeracy in primary schools. Maidenhead: OUP 2010:174–87.
49
Wickham L. Generating mathematical talk in the key stage 2 classroom. 2008.
50
Murphy C. Comparing the use of the empty number line in England and the Netherlands. British Educational Research Journal. 2011;37:147–61. doi: 10.1080/01411920903447423
51
Barmby P, Harries T, Higgins S, et al. The array representation and primary children’s understanding and reasoning in multiplication. Educational Studies in Mathematics. 2009;70:217–41. doi: 10.1007/s10649-008-9145-1
52
Mathematical Association. Maths talk. 2nd ed. Cheltenham: The Mathematical Association and Stanley Thornes 1992.
53
Victoria R. Jacobs, Lisa L. C. Lamb and Randolph A. Philipp. Professional Noticing of Children’s Mathematical Thinking. Journal for Research in Mathematics Education. 2010;41:169–202.
54
RICHARD R. SKEMP. Relational Understanding and Instrumental Understanding. Mathematics Teaching in the Middle School. 2006;12:88–95.
55
Hook P, Mills J. SOLO taxonomy: a guide for schools: Book 1.  A common language of learning. Laughton: Essential Resources Ltd 2012.
56
Hook P, Mills J. SOLO taxonomy: a guide for schools: Book 2.  Planning for differentiation. Laughton: Essential Resources Ltd 2012.
57
Biggs JB, Collis KF. Evaluating the quality of learning: the SOLO taxonomy [Structure of the Observed Learning Outcome]. New York: Academic Press 1982.
58
Boaler J. Chapter 9: Teaching mathematics for a growth mindset. Mathematical mindsets: unleashing students’ potential through creative math, inspiring messages, and innovative teaching. San Francisco, CA: Jossey-Bass & Pfeiffer Imprints 2016:171–208.
59
Hattie J. Visible learning for teachers: maximizing impact on learning. London: Routledge 2012.
60
Collins S. Chapter 8: Making learning meaningful and valuing intelligence. Neuroscience for learning and development: how to apply neuroscience and psychology for improved learning and training. London: Kogan Page Limited 2016:121–38.
61
Hattie J, Yates GCR. Chapter 14: How knowledge is stored in the mind. Visible learning and the science of how we learn. London: Routledge 2014:126–35.
62
British Educational Research Association (BERA). Ethical guidelines.
63
DfES. Access and engagement in mathematics: guidance for teaching EAL learners maths (KS3 National Strategy). 2002.
64
Drews D, Hansen A. Using resources to support mathematical thinking: primary and early years. Exeter: Learning Matters 2007.
65
Fielker D. Chapter 3: Another approach. Extending mathematical ability through whole class teaching. London: Hodder & Stoughton 1997.
66
Higgs S. Chapter 5: Parlez-vous mathematics? Enhancing primary mathematics teaching. Maidenhead: Open University Press 2003:54–64.
67
Watson A, Mason J. Mathematics as a constructive activity: learners generating examples. Mahwah, N.J.: Lawrence Erlbaum Associates 2005.
68
Donaldson G. Becoming a primary mathematics specialist teacher. Abingdon: Routledge 2012.
69
NCETM. Developing mathematics in Primary Schools.
70
Tarrant P, Holt D. Chapter 10: Becoming better learners. Metacognition in the primary classroom: a practical guide to helping children understand how they learn best. London: Routledge 2016:123–34.
71
Ashby B. Exploring children’s attitudes towards mathematics. Proceedings of the British Society for Research into Learning Mathematics. 2009;29:7–12. http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.530.8962&rep=rep1&type=pdf
72
Rowland T, Turner F, Thwaites AE, et al. Chapter 2: Knowledge for Teaching Mathematics: introducing the knowledge quartet framework. Developing Primary Mathematics Teaching : Reflecting on Practice with the Knowledge Quartet. 18–40.
73
Boaler J. The ‘Psychological Prisons’ from which They Never Escaped: the role of ability grouping in reproducing social class inequalities. FORUM. 2005;47.
74
Boylan M, Povey H. Ability Thinking. Debates in mathematics education. New York, NY: Routledge 2013.
75
Brown T. Coordinating mathematics across the primary school. London: Falmer P. 1998.
76
Dweck CS. Mindset. London: Robinson 2012.
77
Elton-Chalcraft S, Hansen A, Twiselton S. Chapter 2: Moving from Reflective Practitioner to Practitioner Researcher. Doing classroom research: a step-by-step guide for student teachers. Maidenhead: Open University Press 2008:11–26.
78
Lorenz JH. On some psychological aspects of mathematics achievement assessment and classroom interaction. Educational Studies in Mathematics. 1982;13:1–19. doi: 10.1007/BF00305495
79
What We Can Do about Achievement Disparities. Educational Leadership. 2007;65:54–9.
80
Scaffolding Students’ Thinking in Mathematical Investigations. Australian Primary Mathematics Classroom. 2009;14:27–32.
81
Marks R. ‘Ability’ in primary mathematics education: patterns and implications. Research in Mathematics Education. 2011;13:305–6. doi: 10.1080/14794802.2011.624753
82
NCETM. Mathematics Matters Final Report.
83
Beyond levels: alternative assessment approaches developed by teaching schools - GOV.UK.
84
Radford J, Blatchford P, Webster R. Opening up and closing down: comparing teacher and TA talk in mathematics lessons.
85
Ruthven K. Ability stereotyping in mathematics. Educational Studies in Mathematics. 1987;18:243–53. doi: 10.1007/BF00386197
86
WATSON A. Paradigmatic Conflicts in Informal Mathematics Assessment as Sources of Social Inequity. Educational Review. 1999;51:105–15. doi: 10.1080/00131919997551
87
Whitehorn, Tara. School support staff topic paper.
88
Anghileri J. Teaching number sense. 2nd ed. London: Continuum 2006.
89
Askew M. Transforming primary mathematics: understanding classroom tasks, tools and talk. Updated and revised edition. London: Routledge 2016.
90
Boaler J. The Elephant in the Classroom: Helping Children Learn and Love Maths. New York: Souvenir Press 2015.
91
Boaler J. Mathematical mindsets: unleashing students’ potential through creative math, inspiring messages, and innovative teaching. San Francisco, CA: Jossey-Bass & Pfeiffer Imprints 2016.
92
Briggs S. Meeting special educational needs in primary classrooms: inclusion and how to do it. Second edition. London: Routledge 2016.
93
Burton L. Children learning mathematics: patterns and relationships. Hemel Hempstead: Simon & Schuster Education 1994.
94
Donaldson G. Becoming a primary mathematics specialist teacher. Abingdon: Routledge 2012.
95
Haylock D, Manning R. Mathematics explained for primary teachers. 5th edition. London: SAGE Publications 2014.
96
Hook P, Gravett C, Howard M, et al. SOLO taxonomy in mathematics: strategies for thinking like a mathematician. Laughton, United Kingdom: Essential Resources 2014.
97
Hughes M. Children and number: difficulties in learning mathematics. Oxford: Basil Blackwell 1986.
98
Leslie D, Mendick H. Debates in mathematics education. New York, NY: Routledge 2013.
99
Pratt N. Interactive maths teaching in the primary school. London: Paul Chapman 2006.
100
Sutherland R. Teaching for learning mathematics. Maidenhead: Open University P. 2007.
101
Proceedings of the British Society for Research into Learning Mathematics (BSRLM). http://www.bsrlm.org.uk/
102
Association of Teachers of Mathematics - ATM. https://www.atm.org.uk/
103
British Society for Research into Learning Mathematics. Research in mathematics education.
104
Educational studies in mathematics.
105
National Council of Teachers of Mathematics. Journal for research in mathematics education. Published Online First: 1970.
106
Denby N. Masters level study in education. Maidenhead: Open University Press 2008.
107
Bell J, Waters S. Doing your research project: a guide for first-time researchers. Sixth edition. Maidenhead: Open University Press 2014.
108
Bonnett A. How to argue. 3rd ed. Harlow: Pearson Education 2011.
109
Bryan H, Carpenter C, Hoult S. Learning and teaching at M-level: a guide for student teachers. London: SAGE 2010.
110
Cohen L, Bell R, Manion L, et al. Research methods in education. 7th ed. London: Routledge 2011.
111
Cottrell S. Critical thinking skills: developing effective analysis and argument. 3rd ed. Basingstoke: Palgrave Macmillan 2017.
112
Denscombe M. The good research guide: for small-scale social research projects. 6th ed. Maidenhead: Open University Press 2017.
113
Godfrey J. How to use your reading in your essays. 2nd ed. Basingstoke: Palgrave Macmillan 2013.
114
McMillan K, Weyers JDB. How to cite, reference & avoid plagiarism at university. Harlow: Pearson Education 2013.
115
McMillan K, Weyers JDB. How to Write for University. Harlow, England: Pearson 2014.
116
Pears R, Shields GJ. Cite them right: the essential referencing guide. 10th ed. London: Palgrave 2016.
117
Sewell K. Doing your PGCE at M-level: a guide for students. 2nd ed. Los Angeles: SAGE 2012.
118
Swatridge C. The Oxford guide to effective argument and critical thinking. Oxford: Oxford University Press 2014.
119
Wallace M, Wray A. Critical reading and writing for postgraduates. 3rd edition. Los Angeles: SAGE 2016.
120
Wyse D. The good writing guide for education students. 3rd ed. Thousand Oaks, Calif: SAGE 2012.
121
Aubrey K, Riley A. Understanding and using educational theories. Los Angeles: SAGE 2016.
122
Bates B. Learning theories simplified: - and how to apply them to teaching. Los Angeles: SAGE 2016.
123
Collins S. Neuroscience for learning and development: how to apply neuroscience and psychology for improved learning and training. London: Kogan Page Limited 2016.
124
Bruner JS. Toward a theory of instruction. Cambridge, Mass: Belknap Press 1966.
125
Cozolino LJ. The social neuroscience of education: optimizing attachment and learning in the classroom. New York: Norton 2013.
126
Colwell J, Pollard A. Readings for reflective teaching in early education. London: Bloomsbury Academic 2015.
127
Arthur J, Cremin T. Learning to teach in the primary school. Third edition. London: Routledge 2014.
128
Dewey J. Experience and education. 60th anniversary ed. West Lafayette, Ind: Kappa Delta Pi 1998.
129
Carol Dweck. Mindset: Changing the way you think to fulfil your potential. Updated edition. London: Robinson 2017.
130
Gagné RM. The conditions of learning and theory of instruction. 4th ed. New York: Holt, Rinehart and Winston 1986.
131
Gardner H. Multiple intelligences: new horizons in theory and practice. Revised and updated edition. New York: BasicBooks 2006.
132
Geake JG. The brain at school: educational neuroscience in the classroom. Maidenhead: Open University Press 2009.
133
Gray C, MacBlain S. Learning theories in childhood. 2nd edition. Los Angeles: SAGE 2015.
134
Hansen A. Primary professional studies. Third edition. London: Learning Matters 2015.
135
Hattie J, Yates GCR. Visible learning and the science of how we learn. London: Routledge 2014.
136
Illeris K. Contemporary theories of learning: learning theorists - in their own words. London: Routledge 2009.
137
Maslow, Abraham H. The farther reaches of human nature. The Journal of Transpersonal Psychology. ;1.
138
Miller L, Pound L. Theories and approaches to learning in the early years. Los Angeles: SAGE 2011.
139
Moore A. Teaching and learning: pedagogy, curriculum and culture. Second edition. London: Routledge 2012.
140
Piaget J. The construction of reality in the child. New York: Basic Books 1954.
141
Pollard A. Readings for reflective teaching in schools. Second edition. London: Bloomsbury Academic 2014.
142
Agbah F. Ways of learning. Leeds: Printing and Publishing Unit for Continuing Education 1987.
143
Sancisi L, Edgington M. Developing high quality observation, assessment and planning in the early years: made to measure. Abingdon, Oxon: Routledge 2015.
144
Sousa DA. Mind, brain, and education: neuroscience implications for the classroom. Bloomington, IN: Solution Tree Press 2010.
145
Vygotsky L. Thought and language. Cambridge, Mass: MIT Press 1962.
146
Vygotskii LS, Cole M, Luriia AR. Mind in society: the development of higher psychological processes. Cambridge, Mass: Harvard University Press 1978.