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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 Dissertation, University of Exeter, (unpublished).
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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 Dissertation, University of Plymouth, (unpublished).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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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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1999 |
Carruthers, E.
(1999) ‘It
all adds up: the Numeracy Strategy approach in Reception
classes.’ Nursery World. 28th October, 1999. |
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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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2004 |
Carruthers, E. & Worthington, M.
(2004), ‘Young
children exploring early calculation’, Mathematics
Teaching, 187, pp. 30 – 34, June. |
|
2005 |
Carruthers, E. and Worthington, M.
(2005) Paper presented at the European Early Childhood
Education Research Association (EECERA) Conference
(Dublin) 'Creativity and Cognition: the Pedagogy of
Children's Mathematics'
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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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|
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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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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) |
|
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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|
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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'.
Presentation at the European Early Childhood Education
Research Education Research Association (EECERA) Annual
Conference, Prague |
|
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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|
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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). |
|
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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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. and
Worthington, M. (2010)
‘Children’s mathematical graphics: understanding the key
concept’. NRICH: University of Cambridge.
|
|
|
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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