Content, context, and representation: Children's measurement experiences and understandings at the start of school

[1]  A. Baroody.  Children's mathematical thinking , 1987 .

[2]  Deborah Harcourt,et al.  Informed agreement to participate: beginning the partnership with children in research , 2009 .

[3]  J. Elliott.  Using narrative in social research: qualitative and quantitative approaches , 2005 .

[4]  Olaf Zimmermann,et al.  The Future Perspective , 2003 .

[5]  Lynne Outhred,et al.  Count me into measurement: a program for the early elementary school , 2003 .

[6]  Martin Hughes,et al.  Children and Number: Difficulties in Learning Mathematics , 1986 .

[7]  J. Dewey.  Experience and Education , 1938 .

[8]  U. Bronfenbrenner.  Interacting systems in human development: Research paradigms: Present and future. , 1988 .

[9]  Richard Lehrer,et al.  Longitudinal Study of Children's Reasoning About Space and Geometry , 2012 .

[10]  Janice E. Hale.  Black Children: Their Roots, Culture, and Learning Styles , 1982 .

[11]  Cinzia Bonotto,et al.  How to connect school mathematics with students' out-of-school knowledge , 2001 .

[12]  Vanessa May,et al.  What is Narrative Analysis , 2010 .

[13]  P. Moss,et al.  Listening to Young Children: The Mosaic approach , 2011 .

[14]  M. Mitchelmore,et al.  Development of children's understanding of length, area and volume measurement principles , 2006 .

[15]  Bert van Oers,et al.  Learning Mathematics as a Meaningful Activity , 1996 .

[16]  Viviene E. Cree,et al.  Research with Children: Sharing the Dilemmas , 2002 .

[17]  Joanne Mulligan,et al.  Children's Development of Structure in Early Mathematics. , 2004 .

[18]  Thomas Lowrie.  Making mathematics meaningful, realistic and personalised: Changing the direction of relevance and applicability , 2004 .

[19]  B. Oers.  On the Narrative Nature of Young Children's Iconic Representations: Some Evidence and Implications. , 1997 .

[20]  J. Einarsdóttir,et al.  Research with children: methodological and ethical challenges , 2007 .

[21]  Samantha Punch,et al.  Research with Children , 2002 .

[22]  May Kay Kramp.  Kramp, May Kay, "Exploring Life and Experience through Narrative Inquiry," pp. 103-122 in Kathleen de Marrais and Stephen D. Lapan, eds., Foundations for Research: Methods of Inquiry in Education and the Social Sciences. Mahwah, NJ: Lawrence Erlbaum, 2004. , 2004 .

[23]  Sue Dockett,et al.  THE DEVELOPMENT OF YOUNG CHILDREN'S MATHEMATICAL UNDERSTANDING , 2008 .

[24]  Julie Sarama,et al.  The Earliest Geometry. , 2000 .

[25]  A. Stephenson.  Horses in the sandpit: photography, prolonged involvement and ‘stepping back’ as strategies for listening to children’s voices , 2009 .

[26]  Sue Dockett,et al.  ‘You Need to Know How to Play Safe’: Children's Experiences of Starting School , 2005 .

[27]  George Booker.  Teaching Primary Mathematics , 1997 .

[28]  P. Cobb,et al.  A Constructivist Alternative to the Representational View of Mind in Mathematics Education. , 1992 .

[29]  Ann Lewis.  Accessing, through Research Interviews, the Views of Children with Difficulties in Learning , 2002 .

[30]  Jayne Taylor,et al.  Doing Research with Children , 1999 .

[31]  Cheryl Greenfield,et al.  Transcript: ‘Can Run, Play on Bikes, Jump the Zoom Slide, and Play on the Swings’: Exploring the Value of Outdoor Play , 2004 .

[32]  Maureen Kendrick,et al.  Drawings as an Alternative Way of Understanding Young Children’s Constructions of Literacy , 2004 .

[33]  D. Clarke,et al.  The mathematical knowledge and understanding young children bring to school , 2006 .

[34]  S. Greene,et al.  Researching children's experiences: methods and methodological issues , 2005 .

[35]  Amos H. Hawley,et al.  Human Ecology: A Theory of Community Structure , 1950 .

[36]  H BEILIN,et al.  Logical operations in area and length measurement: age and training effects. , 1962, Child development.

[37]  Jeremy Kilpatrick,et al.  Adding It Up: Helping Children Learn Mathematics , 2013 .

[38]  V. Morrow.  "It's Cool... 'cos you can't give us detentions and things, can you?!": Reflections on research with children , 1999 .

[39]  A. MacDonald.  Kindergarten Transition in a Small Rural School: From Planning to Implementation , 2008 .

[40]  G. Lansdown.  Children’s Rights , 2002 .

[41]  S. Wright.  Ways of Knowing in the Arts , 2003 .

[42]  G. Ladd.  Shifting ecologies during the 5 to 7 year period: Predicting children's adjustment during the transition to grade school. , 1996 .

[43]  Preliminaries to any Theory of Representation , 2008 .

[44]  A. Macmillan.  Take-Home Numeracy Kits for Preschool Children , 2004 .

[45]  P. Cobb.  The Tension Between Theories of Learning and Instruction in Mathematics Education , 1988 .

[46]  D. Mcphail.  Area : the big cover-up , 2007 .

[47]  R. Barker,et al.  Qualities of community life , 1976 .

[48]  R. Berndt,et al.  Transitions to School: Perceptions, Expectations, Experiences , 1988 .

[49]  Martin A. Kozlo.  Constructivism in Education: Sophistry for a New Age , 1998 .

[50]  Maureen Kendrick,et al.  Uncovering Literacy Narratives Through Children's Drawings , 2002 .

[51]  Olwen Gibson,et al.  Children learning mathematics : a teacher's guide to recent research , 1984 .

[52]  J. Bruner,et al.  Studies In Cognitive Growth , 1966 .

[53]  J. Bruner.  Acts of meaning , 1990 .

[54]  J. Belsky.  Expanding the ecology of human development: An evolutionary perspective. , 1995 .

[55]  M. Chinnappan.  Productive pedagogies and deep mathematical learning in a globalised world , 2008 .

[56]  ‘Listen to me when I have something to say’: students’ participation in research for sustainable school improvement , 2009 .

[57]  Urie Bronfenbrenner,et al.  Developmental Research, Public Policy, and the Ecology of Childhood , 1974 .

[58]  M. Windschitl.  Framing Constructivism in Practice as the Negotiation of Dilemmas: An Analysis of the Conceptual, Pedagogical, Cultural, and Political Challenges Facing Teachers , 2002 .

[59]  Alison Clark,et al.  Ways of seeing: using the Mosaic approach to listen to young children's perspectives , 2005 .

[60]  James Hiebert,et al.  Cognitive Development and Learning Linear Measurement , 1981 .

[61]  C. Ward.  'It feels like it's the end of the world' : Cape Town's youth talk about gangs and community violence , 2007 .

[62]  J. Clancy.  Ecological School Social Work: The Reality and the Vision , 1995 .

[63]  O. Saracho,et al.  Contemporary perspectives on mathematics in early childhood education , 2008 .

[64]  Anne Haas Dyson,et al.  Studying Children in Context: Theories, Methods, and Ethics , 1998 .

[65]  Measurement as a Social Process. , 1995 .

[66]  J. Barker,et al.  Geography of Methodological Issues in Research with Children , 2003 .

[67]  Delinda van Garderen.  Teaching Students With LD to Use Diagrams to Solve Mathematical Word Problems , 2007, Journal of learning disabilities.

[68]  Amy MacDonald,et al.  Drawing Stories: The Power of Children's Drawings to Communicate the Lived Experience of Starting School , 2009 .

[69]  Sue Dockett,et al.  Early childhood mathematics education research: What is needed now? , 2007 .

[70]  S. Engel,et al.  The Stories Children Tell: Making Sense of the Narratives of Childhood , 1995 .

[71]  Douglas H. Clements.  Teaching Length Measurement: Research Challenges , 1999 .

[72]  Jesse L. M. Wilkins,et al.  The development of informal counting, number, and arithmetic skills and concepts. , 1999 .

[73]  Brewis Joanna,et al.  Time After Time , 2012 .

[75]  Susan Wright,et al.  Graphic-Narrative Play: Young Children's Authoring through Drawing and Telling , 2007 .

[76]  D. R. Shaffer,et al.  Developmental Psychology: Childhood and Adolescence , 1989 .

[77]  C. Lodge.  Regarding learning: Children’s drawings of learning in the classroom , 2007 .

[78]  Michael Schratz,et al.  Research as Social Change: New Opportunities for Qualitative Research , 1995 .

[79]  David Clemson,et al.  Mathematics in the early years , 1994 .

[80]  Thomas A. Romberg,et al.  Building on Children’s Intuitions to Develop Mathematical Understanding of Space , 1999 .

[81]  D. Clements,et al.  STUDENTS' UNDERSTANDING OF THREE-DIMENSIONAL RECTANGULAR ARRAYS OF CUBES , 1996 .

[82]  Sheila Greene,et al.  Creative Methodologies in Participatory Research with Children , 2005 .

[83]  Susan Cox,et al.  Intention and meaning in young children's drawing , 2005 .

[84]  Constance Kamii,et al.  Young children reinvent arithmetic , 1984 .

[85]  A. Hunter,et al.  Foundations of multimethod research : synthesizing styles , 2006 .

[86]  Sue Dockett,et al.  Children's drawings: experiences and expectations of school , 2005 .

[87]  J. Barker,et al.  “Is it fun?” developing children centred research methods , 2003 .

[88]  Herbert P. Ginsburg,et al.  Children's Arithmetic: How They Learn It and How You Teach It , 1977 .

[89]  Lyn D. English,et al.  Promoting the use of diagrams as tools for thinking , 2001 .

[90]  David W. Carraher,et al.  Written and Oral Mathematics. , 1987 .

[91]  J. Garbarino.  The ecology of human development: Experiments by nature and design: by Urie Bronfenbrenner Cambridge, Mass.: Harvard University Press, 1979, 330 + p. , 1980 .

[92]  Sue Dockett,et al.  Children's Views and Children's Voices in Starting School , 2003 .

[93]  L. Vygotsky,et al.  Thought and Language , 1963 .

[94]  Raymond Duval.  A Cognitive Analysis of Problems of Comprehension in a Learning of Mathematics , 2006 .

[95]  G. Boulton‐Lewis,et al.  An analysis of young children's strategies and use of devices for length measurement☆ , 1996 .

[96]  Investigating Mathematics Teaching: A Constructivist Enquiry. Studies in Mathematics Education Series: 5. , 1994 .

[97]  Alison Clark,et al.  The Mosaic Approach and Research with Young Children , 2003 .

[98]  Michael Cole,et al.  THE DEVELOPMENT OF CHILDREN. , 1925, Science.

[99]  Robert E. Reys.  Helping Children Learn Mathematics , 1984 .

[100]  U. Bronfenbrenner.  The bioecological model from a life course perspective: Reflections of a participant observer. , 1995 .

[101]  Amy MacDonald.  Heavy thinking: Young children's theorising about mass , 2010 .

[102]  Cathy A. Malchiodi,et al.  Understanding Children's Drawings , 1998 .

[103]  Sue Dockett,et al.  Researching with children: insights from the Starting School Research Project , 2005 .

[104]  Andrew Izsák,et al.  "You Have to Count the Squares": Applying Knowledge in Pieces to Learning Rectangular Area , 2005 .

[105]  J. Bruner.  Actual minds, possible worlds , 1985 .

[106]  Carmel M. Diezmann,et al.  National Numeracy Tests: A Graphic Tells a Thousand Words , 2009 .

[107]  Berry Mayall,et al.  Conversations with Children: Working with Generational Issues , 2008 .

[108]  Nigel Thomas,et al.  The ethics of participatory research with children , 1998 .

[109]  Joanne Mulligan,et al.  Mathematics for children: Challenging children to think mathematically , 2009 .

[110]  G. Goldin,et al.  A Joint Perspective on the Idea of Representation in Learning and Doing Mathematics , 2013 .

[111]  D. Clarke,et al.  Assessing and developing measurement with young children , 2003 .

[112]  S. Heath,et al.  Ways with Words: Language, Life and Work in Communities and Classrooms , 1983 .

[113]  Tina Cook,et al.  What the Camera Sees and from Whose Perspective , 2007 .

[114]  Constance Kamii,et al.  Measurement of Length: The Need for a Better Approach to Teaching , 1997 .

[115]  K. Swick,et al.  An Analysis of Bronfenbrenner’s Bio-Ecological Perspective for Early Childhood Educators: Implications for Working with Families Experiencing Stress , 2006 .

[116]  J. Piaget.  Science of education and the psychology of the child , 1970 .

[117]  Thomas Lowrie,et al.  Developing measurement concepts within context: Children’s representations of length , 2011 .

[118]  Mike Askew.  Numeracy and beyond, applying mathematics in the primary school , 2002 .

[119]  A. Clark,et al.  Listening to and involving young children: a review of research and practice , 2005 .

[120]  Sharne Aldridge,et al.  What's the Time Ms White? , 2002 .

[121]  J. Bruner.  The course of cognitive growth. , 1964 .

[122]  Mary Gilbert.  Considering representational choices of fourth graders when solving division problems , 2007 .

[123]  Deborah Harcourt,et al.  Informed assent: ethics and processes when researching with young children , 2005 .

[124]  Urie Bronfenbrenner,et al.  Lewinian Space and Ecological Substance , 1977 .

[125]  Lewis P. Hinchman,et al.  Memory, Identity, Community: The Idea of Narrative in the Human Sciences , 1997 .

[126]  J. Piaget,et al.  Child's Conception Of Geometry , 1960 .

[127]  Understanding linear measurement: A comparison of filipino and new zealand children , 2004 .

[128]  A. Crouter,et al.  The Family Contexts of Gender Development in Childhood and Adolescence , 2003 .

[129]  A. MacDonald,et al.  Time for Talk: The Drawing-telling Process , 2009 .

[130]  Robyn Levenia Zevenbergen,et al.  Teaching Mathematics in Primary Schools , 2005 .

[131]  David W. Carraher,et al.  Chapter 8: Is Everyday Mathematics Truly Relevant to Mathematics Education? , 2002 .

[132]  W. O. Berry,et al.  Preface , 1988, Brain Research Bulletin.

[133]  M. Brooks.  Drawing: The Social Construction of Knowledge , 2004 .

[134]  B. Leadbeater,et al.  The effects of family, school, and classroom ecologies on changes in children's social competence and emotional and behavioral problems in first grade. , 2004, Developmental psychology.

[135]  J. Garbarino,et al.  Children and families in the social environment , 1982 .

[136]  Robert L. Russell,et al.  The Development of Mental Addition as a Function of Schooling and Culture , 1981 .

[137]  L. S. Vygotksy.  Mind in society: the development of higher psychological processes , 1978 .

[138]  Elizabeth Carruthers,et al.  Children's Mathematics: Making Marks, Making Meaning , 2006 .

[139]  D. Clandinin,et al.  Narrative and Story in Practice and Research. , 1989 .

[140]  V. Morrow,et al.  The Ethics of Social Research with Children: An Overview† , 1996 .

[141]  Lyn Fasoli,et al.  Reading Photographs of Young Children: Looking at Practices , 2003 .

[142]  U. Bronfenbrenner.  Developmental ecology through space and time: A future perspective. , 1995 .

[143]  Jean Piaget,et al.  The child's conception of time; , 1969 .

[144]  A. A. Elvin,et al.  Developing understanding of structural implications of dynamic loading in engineering students through the egg drop contest - theory and measurements : technical paper , 2006 .

[145]  J. Einarsdóttir,et al.  Playschool in pictures: children’s photographs as a research method , 2005 .

[146]  J. Garbarino,et al.  Urban Environments and Urban Children. , 1980 .

[147]  Ann M. Anderson,et al.  Supporting multiple literacies: Parents’ and children’s mathematical talk within storybook reading , 2005 .

[148]  N. Mirzoeff.  An Introduction to Visual Culture , 2023 .

[149]  Bob Perry,et al.  trusting children's accounts in research , 2007 .

[150]  G. Goldin.  Representational systems, learning, and problem solving in mathematics , 1998 .

[151]  I. Opie,et al.  The Oxford dictionary of nursery rhymes , 1951 .

[152]  Julie Sarama,et al.  Engaging Young Children in Mathematics: Standards for Early Childhood Mathematics Education. Studies in Mathematical Thinking and Learning Series. , 2003 .

[153]  Sue Palmer,et al.  Time to talk. , 2004, Nature.

[154]  Kim Rasmussen.  Om fotografering og fotografi som forskningsstrategi i barndomsforskning , 2006 .