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Publications

    © Copyright M. Worthington & E. Carruthers 2012

Publications by Elizabeth Carruthers and Maulfry Worthington (in date order):

2017 Carruthers, E. (2017) ‘Open mathematics: open minds: children’s thinking and mathematics’. Community Playthings. Available on http://www.communityplaythings.co.uk/learning-library/articles/open-mathematics-open-minds (Accessed 7th September 2017).
   
  Worthington, M. (2017) Mathematics and symbolic meanings: from pretend play to problem solving. In J. Moyles, J. Payler and J. Georgeson. (Eds.) Beginning Teaching, Beginning Learning: In Early Years and Primary Education 5e. Maidenhead: Open University Press.
   
2016 Worthington, M. and Van Oers, B. (2016) Pretend Play and the cultural foundations of mathematics. European Early Childhood Education Research Journal 24 (1). 51-66.
 
   
2015 Worthington, M. and Van Oers, B. (2015) Children’s social literacies: Meaning making and the emergence of graphical signs and texts in pretence. Journal of Early Childhood Literacy 16(1), 1-29.
   
  Carruthers, E. (2015). Listening to children's mathematics in school. In B. Perry., A. Gervasoni and A. MacDonald. Eds. Mathematics and Transition to School - International Perspectives. Sydney, Australia: Springer.
 
  Worthington, M. (2015). Mathematics and the ecology of pretend play. In. J. Moyles. Editor. The Excellence of Play. 4th Edition. Maidenhead: Open University Press.
 
   
2014 Worthington, M. Submission to the All Party Political Group (APPG) on Maths and Numeracy. Final report to the government on 25th November 2014 in the House of Commons, Westminster.
 
  Carruthers, E. (2014). Listening to children's mathematics in school. In Perry, B., Gervasoni, A. and MacDonald, A. Eds. Mathematics and Transition to School - International Perspectives. Springer. Forthcoming.
 
  Worthington, M. (2014) Child’s play? Does ‘subject’ learning have a role in pretend play? Presentation at TACTYC annual conference, Birmingham, November 2014.
 
  Worthington, M. (2014). 'Mathematical cultures at home and in nursery'. Key speech at Bradford Nurseries' Conference, 24th November 2014.
 
  Worthington, M. 2014. Briefing paper for APPG Maths and Numeracy Meeting: 25th June 2014: Portcullis House, Westminster
 
  BERA/TACTYC (2014) Early Years Policy Advice: Play and Pedagogy. Early Years: policy advice and future research agendas. BERA/TACTYC, (pp 8-9 prepared by M. Worthington).
   
2013 Carruthers, E. and E. Butcher. (2013) Mathematics: young children co-construct their mathematical enquiries. In P. Beckley. Ed. (2013) The New Early Years Foundation Stage: Changes, Challenges and Reflections. Maidenhead: Open University Press, (2nd ed.)
   
2012 Worthington, M. (2012) 'Pretend play and mathematics – informing the ‘school readiness’ debate'. TACTYC, Reflecting on Early Years Issues. http://tactyc.org.uk/pdfs/MAULFRY-REFLECTIONS%202012.pdf
 
  Carruthers, E. (2012) 'Are the children thinking mathematically? The pedagogy of children's mathematical graphics.' In McAteer, M. (Ed.) Improving Primary Mathematics Teaching and Learning. Maidenhead: OUP.
 
  Worthington, M. (2012) ‘Children becoming expert symbol users’ In McAteer, M. (Ed.) Improving Primary Mathematics Teaching and Learning. Maidenhead: OUP.
 
  Worthington, M. (2012) 'The power of graphicacy for the young child' in T. Papatheodorou and J. Moyles (Eds.) Cross Cultural Perspectives on Early Childhood. London: Sage Publications.
 
   
2011 Worthington, M. (2011)Coomuniceren in rekentaal: noodzakelijk voor kinderen in hun spel.’ ‘(‘Communicating mathematically – ‘necessary’ for children in their play’). Zone. No. 1. March 2011 (Dutch teachers' magazine)
 
  Carruthers, E. and Worthington, M. (2011) Understanding Children's Mathematical Graphics: Beginnings in Play. Maidenhead: Open University Press
 
  Worthington, M. (2011) 'Young Mathematicians: Global learners’ in E. Murphy (Ed.) Welcoming Linguistic and Cultural Diversity in Early Childhood Classrooms. Bristol: Multi-lingual Matters.
 
  Worthington, M. (2011) Key Speech: ‘Symbolic play and children's mathematical graphics.' Key speech: Sheffield Hallam University, Faculty of Education MaST Programme conference. July 2011.
 
  Carruthers, E. (2011) Key Speech: 'Play and mathematics: creating a culture of mathematical enquiry and pedagogy of play (in the context of Redcliffe Children's Centre). Sheffield Hallam, Mathematics Subject Teachers' Programme (MaST) Conference. 27th Nov. 2010.
 
  Carruthers, E. and Worthington, M. (2011) Developing Children's Mathematical Graphics: Supporting Early Mathematical Thinking. Maidenhead: Open University Press.
 
  Worthington, M. (2011) 'From astronaut to calculations: tracing children’s symbolic meanings’. J. Moyles., J Georgeson and J. Payler, (Eds.) Beginning Teaching, Beginning Learning in Early Years and Primary Education. (4th Ed.) Maidenhead: Open University Press.
 
  Worthington, M. - Keynote speaker (2011) 'Mathematical potentials of imagination' at Redcliffe Children’s Centre and Maintained Nursery School, Research and Development Base: National Conference: ‘Uncovering Children’s Mathematics’. Mercure Holland House Hotel, Bristol. 10th November.
 
  Worthington, M. (2011) Paper presentation: 'The power of pretence: role-play and mathematics - informing the ‘school readiness’ debate’ TACTYC biennial research conference: 'Ready’ for School? Marriott Hotel, York. 11th and 12th November.
 
 

Moyles, J. and Worthington, M. (2011) ‘The Early Years Foundation Stage through the daily experiences of children’. TACTYC Occasional Paper no. 1.
 

   
2010 Worthington, M. (2010) 'Play is a complex landscape: imagination and symbolic meanings'; in P. Broadhead, L. Wood. and J. Howard. (Eds) Play and Learning in Educational Settings, London: Sage Publications.
 
  Carruthers, E. and Worthington, M. (2010) ‘Children’s mathematical graphics: understanding the key concept’. NRICH: University of Cambridge.
 
  Worthington, M. (2010) 'Imagination and graphicacy: young children as powerful agents of their own learning'. Paper presented at Anglia Ruskin University Conference, Chelmsford: 'Early Childhood Curriculum: Policy and Pedagogy in the 21st Century: An International Debate', April 2010.
 
  Carruthers, E. (2010) 'How children use graphics to support mathematical thinking.' Early Years Educator (EYE) June. 39-44.
 
  Worthington, M. (2010)“This is a different calculator - with computer games on”: reflecting on children’s symbolic play in the digital age’, in J. Moyles, J. (Ed.) 'Thinking About Play: Developing a Reflective Approach' , Maidenhead: Open University Press.
 
  Worthington, M. (2010) ‘Symbolic thought and graphical representations: what counts in early childhood education?’ Paper presented at the European Early Childhood Education Research Association (EECERA) conference 'Knowledge and Voice in Early Childhood', Birmingham, September 2010.
  Worthington, M. (2010) Key Speech: 'Semiotics and the young child: communicating mathematically.' Sheffield Hallam 'Wider Issues in Mathematics Conference. 3rd Nov. 2010.
 
  Carruthers, E. (2010) Key Speech: 'Play and mathematics: creating a culture of mathematical enquiry and pedagogy of play (in the context of Redcliffe Children's Centre). Sheffield Hallam University, Mathematics Subject Teachers' Programme (MaST) Conference. 27th Nov. 2010.
 
  Worthington, M. (2010) Key Speech: 'Symbolic play and children's mathematical graphics' Sheffield Hallam, Mathematics Subject Teachers' Programme (MaST) Conference. 27th Nov. 2010
 
   
2009 Carruthers, E. and Worthington, M. (2009) The inter-relationship between an Early Years' CPD initiative for mathematics and young children learning mathematics: the power of grassroots learning’, paper presented at the British Society for Research into Learning Mathematics (BSRLM) Day Conference, University of Cambridge, February 28.
 
  Worthington. M. (2009) 'Fish in the water of culture: signs and symbols in young children’s drawing', Psychology of Education Review Volume 33, Number 1, March 2009.
 
  Carruthers, E. and Worthington. M. (2009) 'An Early Years’ CPD initiative for mathematics: the power of collaborative, ‘grassroots’ learning', Proceedings of the British Society for Research into Learning Mathematics, 29 (1) March 2009.
 
  Carruthers, E. and Worthington, M. (2009) Children’s mathematical graphics: understanding the key concept’, Primary Mathematics, Autumn 2009, Volume 13, Issue 3, 3-5.
 
  Carruthers, E. and Worthington, M. (2009) ‘Learning & development: mathematics – marking time’, Nursery World, 30 September 2009.
 
  Worthington, M. 'Play: What do Children Learn? Investigating Imagination, Analysing Imaginative Play': Presentation at TACTYC Research into Practice Conference, 'Inspiring Practice in Early Education: Research, Reflection, Debate'. November 6-7, 2009
 
 

Carruthers, E. and Worthington, M. (2009) Chapter 14: 'Children's Mathematical Development', in T. Bruce, Early Childhood: a Guide for Students, London: Sage Publications, (2nd Ed.)

 

  Carruthers, E. and Worthington, M. (2009) Chapter 21: 'Key Stage 1 Mathematics, in T. Bruce, Early Childhood: a Guide for Students, London: Sage Publications, (2nd Ed.)
 
  DSCF (2009) Children Thinking Mathematically: PSRN essential knowledge for Early Years practitioners. London: DCSF. [Elizabeth Carruthers and Maulfry Worthington were commissioned by the DCSF to write this publication]
 
   
2008 Worthington, M. (2008) 'Play is a complex landscape: developing symbolic tools'. Presentation at TACTYC / BERA Colloquium: 'Play and Education 3-8: Moving Forward in Research, Policy, Professional Learning and Practice'. Leeds Metropolitan University. April.
 
  Carruthers, E. and Worthington, M. (2008) 'Children's mathematical graphics: young children calculating for meaning' in I. Thompson, (Ed.) (2008) Teaching and Learning Early Number, Maidenhead: Open University Press, (2nd ed.)
 
  Worthington, M. (2008) 'Children’s Mathematical Graphics: Overview'
 
  Carruthers , E. & White, L. (2008) 'Are Children's Centres in England Research Active?' Paper presented at the European Early Childhood Education Research Association (EECERA) Annual Conference, Stavanger, Norway
 
  Worthington. M. (2008) 'Playful pedagogy and transitions in children's mathematics' , The Foundation Stage Forum (December)
 
  Carruthers, E. (2008) ‘The importance of young children’s mark making: beginnings, context, meanings in mathematics’ The Foundation Stage Forum, (December).
 
   
2007 Worthington, M. (2007) ‘Exceptional children: researching the young child’s mathematics’, Primary Mathematics: Maths Coordinator File 25: Early Years Issue. May.
 
  Worthington, M. '"It's my birthday bridge": multi-modal meanings through play' in: J. Moyles (Ed.) (2007) Beginning Teaching, Beginning Learning, Maidenhead: Open University Press / McGraw Hill.
 
  Carruthers, E. (2007) ‘Children’s Outdoor Experiences: a Sense of Adventure?’,  in J. Moyles, (ed) (2007) Early Years Foundations: Meeting the Challenge, Maidenhead: Open University Press / McGraw Hill.
 
  Worthington, M. (2007) 'Multi-modality, play and children's mark-making in maths' in: J. Moyles, (Ed.) (2007) Early Years Foundations: Meeting the Challenge, Maidenhead: Open University Press / McGraw Hill.
 
  Carruthers, E. (2007) 'Under threes thinking mathematically?’ Presentation at the European Early Childhood Education Research Education Research Association (EECERA) Annual Conference, Prague.
 
  Worthington, M (2007) ‘The latitude and longitude of play in school: the development of mathematical concepts and language in early childhood.’ Paper presented at the European Early Childhood Education Research Association (EECERA) conference, September. Prague
 
   

2006

Worthington, M. (2006) 'Creativity meets mathematics' in Practical Pre-school. Issue: 66. (July)
 

 

Carruthers, E. & Worthington, M. (August 2006) (2nd ed.) 'Children's Mathematics, Making Marks, Making Meaning'. London: Sage Publications
 

 

Worthington, M. & Carruthers, E. (2006) 'Mathematical Development'` and 'Key Stage 1 Mathematics', chapters 15 & 21 in in T. Bruce (ed) Early Childhood: a Guide for Students. London: Paul Chapman.
 

 

Carruthers, E. (2006) 'Pedagogical Approaches that Support Children’s Mathematical Graphics': Paper presented at the European Early Childhood Education Research Association (EECERA) Conference (Iceland)
 

 

Worthington, M. (2006) 'Young Children’s Emerging Abstract Symbolism in Mathematics: the Role of Effective Modelling', Paper presented at the European Early Childhood Education Research Association (EECERA) Conference (Iceland)
 

   

2005

Carruthers, E. and Worthington, M. (2005) ‘Creativity and Cognition’, Paper presented at the European Early Childhood Education Research Association (EECERA) Conference, Dublin (September).
 

 

Worthington, M. (2005) ‘Issues of collaboration and co-construction within an online discussion forum: information ecology for Continuing Professional development’, Reflecting Education, Vol. 1, No 1-2 (2005) pp. 76 – 98, http://reflectingeducation.net/index.php/reflecting/article/view/15/22
 

 

Carruthers, E. & Worthington, M. (2005) ‘Making sense of mathematical graphics: the development of understanding abstract symbolismEuropean Early Childhood Education Research Association Journal, (EECERA) Vo 13, No.1 (pp. 57 – 79).
 

 

Worthington, M. (2005) ‘Reflecting on creativity and cognition: visual representations and mathematics in early childhood – some evidence from research’, Reflections – TACTYC, http://www.tactyc.org.uk/pdfs/worthington.pdf
 

 

Worthington, M. and Carruthers, E.The art of children’s mathematics: the power of visual representation’: Paper presentation at the Roehampton ‘Art in Early Childhood’ conference, July 7th – 9th, 2005
 

   

2004

Carruthers, E. & Worthington, M. (2004), ‘Young children exploring early calculation’, Mathematics Teaching, 187, pp. 30 – 34, June.
 

   
2003 Carruthers, E. and Worthington, M. (2003) ‘‘Making sense of mathematical graphics: the development of understanding abstract symbolism’. Presentation at the European Early Childhood Education Research Association (EECERA) Conference, September 2003 at University of Strathclyde.
 

 

Worthington, M. & Carruthers, E. (2003), Children’s Mathematics, Making Marks, Making Meaning. London: Paul Chapman Publishing.
 

 

Worthington, M. (2003) ‘Children make many meanings with their marks’, Hundred Languages (South West), July. pp. 8 – 10.
 

 

Worthington, M. & Carruthers, E. (2003) ‘Research uncovers children’s creative mathematical thinking’, Primary Mathematics. Volume 7, Issue 3. (Autumn), pp. 21 – 25.
 

 

Worthington, M. & Carruthers, E. (2003) ‘Becoming Bi-Numerate: a study of teachers’ practices concerning children’s early ‘written’ mathematics’: paper presented at the European Early Childhood Education Research Association (EECERA) Conference, September 2003 at University of Strathclyde.
 

  Worthington, M. & Carruthers, E. (2003) 'Research uncovers children's creative mathematical thinking', Primary Mathematics (Mathematics Association). November 2003. Vol. 7. Issue 3. pp. 21 - 25.
 
   

1999

Carruthers, E. (1999) ‘It all adds up: the Numeracy Strategy approach in Reception classes.Nursery World. 28th October, 1999.
 

   

1998

Worthington, M. (published as Hayton) (1998) ‘Solving problems together: emerging understanding’, Mathematics Teaching. 162, pp.18 – 21, March.
 

 

Carruthers, E. (1998) ‘A pattern of children’s learning in number – developmental theory’, Mathematics Teaching (ATM) 162. March, 1998, pp. 15 -17.
 

 

Worthington, M. (published as Hayton) & Carruthers, E., (1998) ‘Emergent Mathematics: a collaborative approach', Mathematics Teaching. 162, pp. 11 - 15, March.
 

 

Worthington. M. (published as Hayton) (1998) ‘Emergent mathematics: personal views of learning’, Mathematics Teaching. 162, p. 17.
 

  Worthington, M. (1998) 'Personal views of learning,' Mathematics Teaching. 162. March 1998.
 
   

1997

Worthington, M. & Murchison, P. (1997) Mathslines: a Mathematical framework for Four Year Olds. Devon: Devon Curriculum Advice.
 

 

Carruthers, E. (1997) ‘Talking numbers – a developmental link between literacy and numeracy’, Early Education (BAECE), Summer, 1997, pp. 5-6.
 

 

Carruthers, E. (1997) ‘A numberline in the nursery – a vehicle for understanding children’s number developmentEarly Years - (TACTYC), Vol. 18. No.1. Autumn 1997, pp. 9 – 14.
 

 

Carruthers, E. (1997) Number: a Developmental Link between Literacy and Numeracy. A Case-Study of a Child from Twenty to Forty-four months. MEd. Dissertation, University of Plymouth, (unpublished).
 

   

1996

Worthington, M. (published as Hayton) & Carruthers, C. (1996) ‘Emergent and developmentally appropriate learning: the relationship to personal views of learning’, Primary Practice (5). pp.16 -17, June
 

  Worthington, M. (1996) Play in the Reception Class: a Domain of Cognitive Challenge, MEd. Dissertation, University of Exeter, (unpublished).
 
   
1995 Worthington, M. (published as Hayton) (1995) ‘Science in early childhood’ and ‘Talking it through: young children thinking science’. In S. Atkinson & M. Fleer. (Eds.) Science with Reason. London: Hodder & Stoughton

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