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2018 |
Worthington, M. (2018)
Funds of knowledge: children’s cultural ways of knowing
mathematics. In V. Kinnear., M-Y Lai., and T. Muir. (Eds.)
Forging Connections in Early Mathematics Teaching and
Learning. Singapore: Springer, 239-258. |
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2017 |
Carruthers, E., Keane, C. and
Ingleby, J. (2017) Young Children’s Experimental
Cookery. London: Routledge. |
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Carruthers, E. (2017)
Editorial: early years mathematics. Early Education
Journal; (special issue, Early Years Mathematics). 83:
Autumn 2017, 3. |
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Carruthers, E. (2017)
Children’s mathematics. Early Education Journal;
(special issue, Early Years Mathematics). 83: Autumn 2017,
4-6. |
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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). |
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Worthington, M. (2017)
Respecting
children’s personal symbolism. Early Education
Journal; (special issue, Early Years Mathematics). 83:
Autumn 2017, 13-15. |
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Worthington, M. (2017)
Mathematics and symbolic meanings: from pretend play to
problem solving. In J. Moyles, J. Georgeson and J.
Payler (Eds.) Beginning Teaching, Beginning Learning,
pp.131-143. Maidenhead: Open University Press. 5th Edn. |
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Worthington, M. and Van Oers, B.
(2017)
Children’s social literacies: Meaning making and the
emergence of graphic symbols in pretence. Journal of Early Childhood Literacy
24(1), 51-66. Online first, 2015. |
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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. |
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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.
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2015 |
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.
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Worthington, M. (2015).
Mathematics and the ecology of pretend play. In. J. Moyles.
Editor. The Excellence of Play. 4th Edition.
Maidenhead: Open University Press.
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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.
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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.
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Worthington, M. (2014)
Child’s play?
Does ‘subject’ learning have a role in pretend play?
Presentation at TACTYC annual conference, Birmingham,
November 2014.
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Worthington, M. (2014).
'Mathematical cultures at home and in nursery'. Key speech
at Bradford Nurseries' Conference, 24th November
2014.
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Worthington, M. 2014.
Briefing paper
for APPG Maths and Numeracy Meeting: 25th June 2014:
Portcullis House, Westminster
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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). |
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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.) |
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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
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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.
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Worthington, M. (2012)
‘Children becoming expert symbol users’ In McAteer, M.
(Ed.) Improving Primary Mathematics Teaching and Learning.
Maidenhead: OUP.
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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.
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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)
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Carruthers, E. and
Worthington, M. (2011)
Understanding Children's Mathematical Graphics: Beginnings
in Play. Maidenhead: Open University Press
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Worthington, M. (2011)
'Young Mathematicians: Global learners’ in E. Murphy (Ed.)
Welcoming Linguistic and Cultural Diversity in Early
Childhood Classrooms. Bristol: Multi-lingual Matters.
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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.
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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.
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Carruthers, E. and
Worthington, M. (2011)
Developing Children's Mathematical Graphics: Supporting
Early Mathematical Thinking. Maidenhead: Open
University Press.
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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.
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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.
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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.
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Moyles, J.
and Worthington, M. (2011)
‘The Early Years Foundation
Stage through the daily experiences of children’. TACTYC
Occasional Paper no. 1.
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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.
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Carruthers, E. and
Worthington, M. (2010) ‘Children’s
mathematical graphics: understanding the key concept’.
NRICH: University of Cambridge.
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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.
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Carruthers, E. (2010)
'How children use graphics to support mathematical
thinking.' Early Years Educator (EYE) June. 39-44.
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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.
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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. |
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Worthington, M. (2010) Key Speech:
'Semiotics and the young child: communicating
mathematically.' Sheffield Hallam 'Wider Issues in
Mathematics Conference. 3rd Nov. 2010.
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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.
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Worthington, M. (2010) Key Speech:
'Symbolic play and children's mathematical graphics'
Sheffield Hallam, Mathematics Subject Teachers' Programme
(MaST) Conference. 27th Nov. 2010
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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.
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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.
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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.
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Carruthers, E. and Worthington, M. (2009)
‘Children’s
mathematical graphics: understanding the key concept’,
Primary Mathematics, Autumn 2009, Volume 13, Issue 3,
3-5.
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Carruthers, E. and Worthington, M.
(2009) ‘Learning & development:
mathematics – marking time’,
Nursery World, 30 September 2009.
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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
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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.)
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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.)
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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]
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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.
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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.)
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Worthington, M. (2008) 'Children’s
Mathematical Graphics: Overview'
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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
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Worthington. M.
(2008) 'Playful pedagogy and transitions in children's
mathematics' , The Foundation Stage Forum
(December)
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Carruthers, E. (2008)
‘The importance of young children’s mark making: beginnings,
context, meanings in mathematics’ The Foundation Stage
Forum, (December).
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2007 |
Worthington, M.
(2007)
‘Exceptional children: researching the young child’s
mathematics’, Primary Mathematics: Maths Coordinator
File 25: Early Years Issue. May.
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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.
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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.
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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.
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Carruthers, E. (2007) 'Under
threes thinking mathematically?’ Presentation at the
European Early Childhood Education Research Education
Research Association (EECERA) Annual Conference, Prague.
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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
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2006 |
Worthington, M.
(2006) 'Creativity meets mathematics' in Practical
Pre-school. Issue: 66. (July)
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Carruthers, E. & Worthington, M.
(August 2006) (2nd ed.) 'Children's
Mathematics, Making Marks, Making Meaning'. London:
Sage Publications
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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.
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Carruthers, E.
(2006) 'Pedagogical Approaches that Support Children’s
Mathematical Graphics': Paper presented at the European
Early Childhood Education Research Association (EECERA)
Conference (Iceland)
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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)
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2005 |
Carruthers, E. and Worthington, M. (2005) ‘Creativity
and Cognition’, Paper presented at the European Early
Childhood Education Research Association (EECERA)
Conference, Dublin (September).
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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
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Carruthers, E. & Worthington, M.
(2005) ‘Making
sense of mathematical graphics: the development of
understanding abstract symbolism’ European Early
Childhood Education Research Association Journal,
(EECERA) Vo 13, No.1 (pp. 57 – 79).
|
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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
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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
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2004 |
Carruthers, E. & Worthington, M.
(2004), ‘Young
children exploring early calculation’, Mathematics
Teaching, 187, pp. 30 – 34, June.
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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.
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Worthington, M. & Carruthers, E.
(2003), Children’s Mathematics, Making Marks, Making
Meaning. London: Paul Chapman Publishing.
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Worthington, M.
(2003) ‘Children
make many meanings with their marks’, Hundred
Languages (South West), July. pp. 8 – 10.
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Worthington, M. & Carruthers, E.
(2003) ‘Research
uncovers children’s creative mathematical thinking’,
Primary Mathematics. Volume 7, Issue 3. (Autumn), pp. 21
– 25.
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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.
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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.
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1999 |
Carruthers, E.
(1999) ‘It
all adds up: the Numeracy Strategy approach in Reception
classes.’ Nursery World. 28th October, 1999.
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1998 |
Worthington, M.
(published as Hayton)
(1998) ‘Solving
problems together: emerging understanding’,
Mathematics Teaching. 162, pp.18 – 21, March.
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Carruthers, E.
(1998) ‘A
pattern of children’s learning in number – developmental
theory’, Mathematics Teaching (ATM) 162. March,
1998, pp. 15 -17.
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Worthington, M.
(published as Hayton)
& Carruthers, E.,
(1998) ‘Emergent
Mathematics: a collaborative approach', Mathematics
Teaching. 162, pp. 11 - 15, March.
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Worthington. M.
(published as Hayton)
(1998) ‘Emergent
mathematics: personal views of learning’, Mathematics
Teaching. 162, p. 17.
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Worthington, M. (1998) 'Personal
views of learning,' Mathematics Teaching. 162. March
1998.
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1997 |
Worthington, M. & Murchison, P.
(1997) Mathslines: a Mathematical framework for Four Year
Olds. Devon: Devon Curriculum Advice.
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Carruthers, E.
(1997) ‘Talking
numbers – a developmental link between literacy and numeracy’,
Early Education (BAECE), Summer, 1997, pp. 5-6.
|
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Carruthers, E.
(1997) ‘A
numberline in the nursery – a vehicle for understanding
children’s number development’ Early Years -
(TACTYC), Vol. 18. No.1. Autumn 1997, pp. 9 – 14.
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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).
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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
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Worthington, M. (1996) Play in
the Reception Class: a Domain of Cognitive Challenge,
MEd. Dissertation, University of Exeter, (unpublished).
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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 |
