Loughborough University
Leicestershire, UK
LE11 3TU
+44 (0)1509 263171
Loughborough University

Loughborough University Research Publications

Publications for Colin Foster

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Journal Articles

Foster, C (2021) Quotative and partitive models of division, Mathematics in School, 50(3), pp.24-25, ISSN: 0305-7259.

Foster, C, Francome, T, Hewitt, D, Shore, C (2021) Principles for the design of a fully-resourced, coherent, research-informed school mathematics curriculum, Journal of Curriculum Studies, ISSN: 0022-0272. DOI: 10.1080/00220272.2021.1902569.

Calleja, J, Foster, C, Hodgen, J (2021) Integrating ‘just-in-time’ learning in the design of mathematics professional development, Mathematics Teacher Education and Development, ISSN: 1442-3901.

Foster, C (2021) Editorial, International Journal of Mathematical Education in Science and Technology, 52(1), pp.1-2, ISSN: 0020-739X. DOI: 10.1080/0020739x.2021.1861701.

Foster, C (2021) On hating formula triangles, Mathematics in School, 50, pp.31-32, ISSN: 0305-7259.

Foster, C (2020) Tailoring the examples to the method, Scottish Mathematical Council Journal, 50, pp.34-35, ISSN: 2515-1347.

Foster, C (2020) Half of the sum of the others, Scottish Mathematical Council Journal, 50, pp.47-47, ISSN: 2515-1347.

Foster, C (2020) Differentiating inverse trigonometric functions, Mathematics in School, 49(5), pp.10-12, ISSN: 0305-7259.

Foster, C and Ollerton, M (2020) Mathematical white lies, Mathematics Teaching, 272, pp.24-25, ISSN: 0025-5785.

Seino, T and Foster, C (2020) Analysis of the final comments provided by a knowledgeable other in lesson study, Journal of Mathematics Teacher Education, ISSN: 1386-4416. DOI: 10.1007/s10857-020-09468-y.

Marks, R, Foster, C, Barclay, N, Barnes, A, Treacy, P (2020) A comparative synthesis of UK mathematics education research: what are we talking about and do we align with international discourse?, Research in Mathematics Education, 23(1), pp.39-62, ISSN: 1479-4802. DOI: 10.1080/14794802.2020.1725612.

Foster, C (2020) Trusting in patterns, Mathematics in School, 49(3), pp.17-19, ISSN: 0305-7259.

Foster, C (2020) Revisiting 'Four 4s', Mathematics in School, 49(3), pp.22-23, ISSN: 0305-7259.

Foster, C (2020) Twice as hot?, Mathematics in School, 49(2), pp.28-29, ISSN: 0305-7259.

Foster, C and Baldry, F (2020) Blink, and it's gone!, Mathematics Teaching, 270, pp.12-13, ISSN: 0025-5785.

Foster, C (2020) Editorial, International Journal of Mathematical Education in Science and Technology, 51(1), pp.1-2, ISSN: 0020-739X. DOI: 10.1080/0020739X.2020.1700609.

Seino, T and Foster, C (2019) Why the details matter: Learning from Japanese Kyouzai kenkyuu, Mathematics in School, 48(5), pp.2-8, ISSN: 0305-7259.

Foster, C (2019) Questions pupils ask: What counts as a random number?, Mathematics in School, 48(4), pp.30-31, ISSN: 0305-7259.

Foster, C (2019) Doing it with understanding, Mathematics Teaching, 267, pp.8-10, ISSN: 0025-5785.

Foster, C (2019) The fundamental problem with teaching problem solving, Mathematics Teaching, (265), pp.8-10, ISSN: 0025-5785.

Foster, C (2019) Editorial [International Journal of Mathematical Education in Science and Technology], International Journal of Mathematical Education in Science and Technology, 50(1), pp.1-2, ISSN: 0020-739X. DOI: 10.1080/0020739X.2019.1573786.

Foster, C (2019) Armchair responses, Mathematics in School, 48(3), pp.26-27, ISSN: 0305-7259.

Foster, C and Inglis, M (2018) Mathematics teacher professional journals: what topics appear and how has this changed over time?, International Journal of Science and Mathematics Education, 17(8), ISSN: 1571-0068. DOI: 10.1007/s10763-018-9937-4.

Inglis, M and Foster, C (2018) Five Decades of Mathematics Education Research, Journal for Research in Mathematics Education, 49(4), pp.462-500, ISSN: 0021-8251. DOI: 10.5951/jresematheduc.49.4.0462.

Foster, C (2018) Questions pupils ask: Why can’t it be distance plus time?, Mathematics in School, 48, pp.15-17, ISSN: 0305-7259.

Foster, C (2017) Validity in educational and psychological assessment, Research in Mathematics Education, 19(2), pp.108-111, ISSN: 1479-4802. DOI: 10.1080/14794802.2017.1318086.

Foster, C and Inglis, M (2017) Teachers’ appraisals of adjectives relating to mathematics tasks, Educational Studies in Mathematics, 95(3), pp.283-301, ISSN: 0013-1954. DOI: 10.1007/s10649-017-9750-y.

Foster, C (2017) Developing mathematical fluency: comparing exercises and rich tasks, Educational Studies in Mathematics, 97(2), pp.121-141, ISSN: 0013-1954. DOI: 10.1007/s10649-017-9788-x.

Foster, C and Martin, D (2016) Two-dice horse race, Teaching Statistics, 38(3), pp.98-101, ISSN: 0141-982X. DOI: 10.1111/test.12108.

Foster, C (2016) Proof Without Words: Integer Right Triangle Hypotenuses Without Pythagoras, The College Mathematics Journal, 47(2), pp.101-101, ISSN: 0746-8342. DOI: 10.4169/college.math.j.47.2.101.

Foster, C (2016) Confidence and competence with mathematical procedures, Educational Studies in Mathematics, 91(2), pp.271-288, ISSN: 0013-1954. DOI: 10.1007/s10649-015-9660-9.

Foster, C (2015) EXPLOITING UNEXPECTED SITUATIONS IN THE MATHEMATICS CLASSROOM, International Journal of Science and Mathematics Education, 13(5), pp.1065-1088, ISSN: 1571-0068. DOI: 10.1007/s10763-014-9515-3.

Foster, C (2015) Expression Polygons, The Mathematics Teacher, 109(1), pp.62-65, ISSN: 0025-5769. DOI: 10.5951/mathteacher.109.1.0062.

Foster, C (2015) Closed but provocative questions: curves enclosing unit area, International Journal of Mathematical Education in Science and Technology, 46(5), pp.776-783, ISSN: 0020-739X. DOI: 10.1080/0020739x.2014.992989.

Wake, G, Swan, M, Foster, C (2015) Professional learning through the collaborative design of problem-solving lessons, Journal of Mathematics Teacher Education, 19(2-3), pp.243-260, ISSN: 1386-4416. DOI: 10.1007/s10857-015-9332-9.

Foster, C and De Villiers, M (2015) The definition of the scalar product: an analysis and critique of a classroom episode, International Journal of Mathematical Education in Science and Technology, 47(5), pp.750-761, ISSN: 0020-739X. DOI: 10.1080/0020739X.2015.1117148.

Foster, C (2014) 98.31 Equal volumes of revolution, The Mathematical Gazette, 98(543), pp.504-507, ISSN: 0025-5572. DOI: 10.1017/s0025557200008287.

Foster, C (2014) Reviews - How to study for a mathematics degree, by Lara Alcock, pp. 288, £12.99, ISBN 978-0-19-966132-9, Oxford University Press (2013)., The Mathematical Gazette, 98(542), pp.377-378, ISSN: 0025-5572. DOI: 10.1017/s0025557200001625.

Foster, C (2014) Confidence Trick: The Interpretation of Confidence Intervals, Canadian Journal of Science, Mathematics and Technology Education, 14(1), pp.23-34, ISSN: 1492-6156. DOI: 10.1080/14926156.2014.874615.

Foster, C (2013) Resisting reductionism in mathematics pedagogy, The Curriculum Journal, 24(4), pp.563-585, ISSN: 0958-5176. DOI: 10.1080/09585176.2013.828630.

Foster, C (2013) Teaching with tasks for effective mathematics learning, Research in Mathematics Education, 15(3), pp.309-313, ISSN: 1479-4802. DOI: 10.1080/14794802.2013.830357.

Foster, C (2013) Mathematical études: embedding opportunities for developing procedural fluency within rich mathematical contexts, International Journal of Mathematical Education in Science and Technology, 44(5), pp.765-774, ISSN: 0020-739X. DOI: 10.1080/0020739x.2013.770089.

Foster, C (2012) Creationism as a Misconception: Socio-cognitive conflict in the teaching of evolution, International Journal of Science Education, 34(14), pp.2171-2180, ISSN: 0950-0693. DOI: 10.1080/09500693.2012.692102.

Foster, C (2012) 96.47 Squares within squares, The Mathematical Gazette, 96(536), pp.328-331, ISSN: 0025-5572. DOI: 10.1017/s002555720000468x.

Foster, C (2012) 96.30 Quadratic doublets, The Mathematical Gazette, 96(536), pp.264-266, ISSN: 0025-5572. DOI: 10.1017/s0025557200004514.

Foster, C (2012) The probability distribution for a biased spinner, Teaching Statistics, 34(1), pp.41-43, ISSN: 0141-982X. DOI: 10.1111/j.1467-9639.2011.00481.x.

Foster, C (2012) 96.08 Orthogonal mappings, The Mathematical Gazette, 96(535), pp.112-115, ISSN: 0025-5572. DOI: 10.1017/s0025557200004083.

Foster, C (2012) 96.07 Symmetrical cubics, The Mathematical Gazette, 96(535), pp.109-112, ISSN: 0025-5572. DOI: 10.1017/s0025557200004071.

Foster, C (2012) 96.19 Taking a short cut through Pascal's triangle, The Mathematical Gazette, 96(535), pp.142-145, ISSN: 0025-5572. DOI: 10.1017/s0025557200004198.

Colin Foster, (2012) Teaching Tip: How to Manipulate Test Scores, The College Mathematics Journal, 43(2), pp.121-121, ISSN: 0746-8342. DOI: 10.4169/college.math.j.43.2.121.

Foster, C (2011) A slippery slope: resolving cognitive conflict in mechanics, Teaching Mathematics and its Applications, 30(4), pp.216-221, ISSN: 0268-3679. DOI: 10.1093/teamat/hrr015.

Foster, C (2011) The Significance of a Square-Root Rule, The American Statistician, 65(4), pp.222-222, ISSN: 0003-1305. DOI: 10.1198/tas.2011.11160.

Foster, C (2011) Student-Generated Questions in Mathematics Teaching, The Mathematics Teacher, 105(1), pp.26-31, ISSN: 0025-5769. DOI: 10.5951/mathteacher.105.1.0026.

Foster, C (2011) A comment on Schnell and Mendoza, The Mathematical Gazette, 95(533), pp.357-357, ISSN: 0025-5572. DOI: 10.1017/s0025557200003284.

Foster, C (2011) Productive ambiguity in the learning of mathematics, For the Learning of Mathematics, 31(2), pp.3-7, ISSN: 0228-0671.

Foster, C (2010) Correspondence, The Mathematical Gazette, 94(530), pp.335-335, ISSN: 0025-5572. DOI: 10.1017/s0025557200006719.

Foster, C (2009) Knowing Your Limitations, Teaching Statistics, 31(2), pp.59-60, ISSN: 0141-982X. DOI: 10.1111/j.1467-9639.2009.00349.x.

Foster, C (2008) 92.16 Avoiding Pythagoras, The Mathematical Gazette, 92(523), pp.110-111, ISSN: 0025-5572. DOI: 10.1017/s0025557200182683.

Foster, C (2008) All my own work?, SecEd, 2008(3), sece.2008.3.1120, ISSN: 1479-7704. DOI: 10.12968/sece.2008.3.1120.

Foster, C (2007) Make maths sparkle, SecEd, 2007(5), sece.2007.5.902, ISSN: 1479-7704. DOI: 10.12968/sece.2007.5.902.

Foster, C (2006) Pointless compasses?, SecEd, 2006(9), sece.2006.9.705, ISSN: 1479-7704. DOI: 10.12968/sece.2006.9.705.

Archibald, SC, Barden, DJ, Bazin, JFY, Fleming, I, Foster, CF, Mandal, AK, Mandal, AK, Parker, D, Takaki, K, Ware, AC, et al, EA (2004) Stereocontrol in Organic Synthesis Using Silicon-Containing Compounds. Studies Directed Towards the Synthesis of Ebelactone A, ChemInform, 35(39), ISSN: 0931-7597. DOI: 10.1002/chin.200439257.


Barmby, P, Jones, I, Foster, C, Milinkovic, J (2020) Using a comparative judgement approach to assess the problem-solving skills of primary school pupils. In 29th Conference of the Southern African Association for Research in Mathematics, Science and Technology Education (SAARMSTE), Port Elizabeth, South Africa.

Wake, G, Foster, C, Nishimura, K (2019) Lesson study: A case of expansive learning. In Borko, H and Potari, D (ed) The Twenty-Fifth ICMI Study. Teachers of Mathematics Working and Learning in Collaborative Groups; The Twenty-Fifth ICMI Study. Teachers of Mathematics Working and Learning in Collaborative Groups, University of Lisbon, Lisbon, Portugal, pp.205-212.


Baldry, F and Foster, C (2019) Lesson study partnerships in initial teacher education. In Lesson Study in Initial Teacher Education: Principles and Practices, Emerald Publishing Limited, pp.147-160, ISBN: 9781787567986.

Baldry, F and Foster, C (2019) Lesson study in mathematics initial teacher education in England. In Theory and Practice of Lesson Study in Mathematics: An International Perspective, Springer International Publishing © Springer Nature, pp.577-594, ISBN: 9783030040314. DOI: 10.1007/978-3-030-04031-4.

Swan, M and Foster, C (2018) Formative assessment lessons. In Classroom assessment in mathematics: Perspectives from around the globe, © Springer, pp.11-24, DOI: 10.1007/978-3-319-73748-5_2.


Hodgen, J, Barclay, N, Foster, C, Gilmore, C, Marks, R, Simms, V (2020) Early years and key stage 1 mathematics teaching: Evidence review, Education Endowment Foundation.

Wake, G, Foster, C, Hatakenaka, S (2020) Developing a sustainable and scalable model for the professional learning of mathematics teachers: Final report of the LeMaPS (Lessons for Mathematical Problem Solving) Project.

Hodgen, J, Coe, R, Foster, C, Brown, M, Higgins, S, Küchemann, D (2020) Low attainment in mathematics: an investigation focusing on Year 9 students in England.

Hodgen, J, Coe, R, Foster, C, Brown, M, Higgins, S, Küchemann, D (2020) Low attainment in mathematics: an investigation focusing on Year 9 students in England. Technical report.

Foundation, EE, Hodgen, J, Barclay, N, Foster, C, Gilmore, C, Marks, R, Sims, V (2020) Improving mathematics in the early years and Key Stage 1: guidance report.

Hodgen, J, Foster, C, Marks, R, Brown, M (2018) Evidence for review of mathematics teaching: Improving mathematics in key stages two and three.

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Loughborough University
LE11 3TU
+44 (0)1509 222453

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Loughborough University
LE11 3TU
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