Investigating children's understanding of the measurement of mass

Conference item

Cheeseman, Jill, McDonough, Andrea and Clarke, Doug. (2011). Investigating children's understanding of the measurement of mass. In J. Clark, B. Kissane and J. Mousley (Ed.). Mathematics: Traditions and [new] practices: Proceedings of the 2011 AAMT-MERGA conference. Australia: AAMT and MERGA. pp. 174 - 182
AuthorsCheeseman, Jill, McDonough, Andrea and Clarke, Doug
Abstract

In this paper, we discuss the use of a framework of “growth points” in early mathematics learning and a related, task-based, one-to-one interview in assessing children’s understanding of the measurement of mass. Data are presented from a sample of 1806 children in the first three years of school. An example of a child’s responses is given to illustrate the kinds of thinking revealed by interviewing young children about their developing concepts of mass.

Year2011
PublisherAAMT and MERGA
Web address (URL)https://www.merga.net.au/publications/counter.php?pub=pub_conf&id=1661
Open accessOpen access
Publisher's version
Page range174 - 182
Research GroupSchool of Education
Place of publicationAustralia
EditorsJ. Clark, B. Kissane and J. Mousley
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McDonough, Andrea Mary and Clarke, Barbara. (2005). Professional development as a catalyst for changes in beliefs and practice :perspectives from the Early Numeracy Research Project. In P. Clarkson, A. Downton and D. Gronn (Ed.). Proceedings of the annual conference of the Mathematics Education Research Group of Australasia. Melbourne, Australia: Mathematics Education Research Group of Australasia. pp. 521 - 528
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Cheeseman, Jill and Clarke, Doug McLean. (2005). Early numeracy coordinators in Victorian primary schools: Components of the role, highlights and challenges. In P. Clarkson, A. Downton and D. Gronn (Ed.). Building connections: Research; theory and practice (Proceedings of the 28th annual conference of the Mathematics Education Research Group of Australasia). Melbourne, Australia: Mathematics Education Research Group of Australasia. pp. 225 - 232
Mathematics teaching in grades K-2: Painting a picture of challenging; supportive and effective classrooms
Clarke, Douglas McLean and Clarke, Barbara. (2004). Mathematics teaching in grades K-2: Painting a picture of challenging; supportive and effective classrooms. In In R. N. Rubenstein and G. Bright (Ed.). Perspectives on the Teaching of Mathematics (66th Yearbook) pp. 67 - 81 National Council of Teachers of Mathematics.
Investigating young children's beliefs about mathematics and learning :The use and value of a range of creative interview tasks
McDonough, Andrea Mary. (2004). Investigating young children's beliefs about mathematics and learning :The use and value of a range of creative interview tasks. ICME-10 Proceedings Editor: Mogens Niss Administrative editor: Elin Emborg ICME-10 Proceedings. Copenhagen,Denmark: International Commission on Mathematical Instruction. pp. 1 - 1
Making mathematics challenging and enjoyable in the middle years
Clarke, Doug. (2004). Making mathematics challenging and enjoyable in the middle years. Australian Journal of Middle Schooling. 4(1), pp. 1 - 8.
Students' perceptions of factors contributing to successful participation in mathematics
McDonough, Andrea Mary, Sullivan, Peter and Harrison, Robyn Turner. (2004). Students' perceptions of factors contributing to successful participation in mathematics. In M. J. Hoines and A. B. Fugelstad (Ed.). Proceedings of the 28th Conference of the International group for the psychology of mathematics education. Bergen, Norway: Bergen University College. pp. 289 - 296
Issues in the teaching of algorithms in the primary years
Clarke, Douglas McLean. (2004). Issues in the teaching of algorithms in the primary years. In In E. Clarke, L. Johansson and W. Lester (Ed.). International Perspectives on Learning and Teaching Mathematics pp. 21 - 36 National Center for Mathematics Education.
When is three quarters not three quarters? Listening for conceptual understanding in children's explanations in a fraction interview
Mitchell, Annie and Clarke, Doug. (2004). When is three quarters not three quarters? Listening for conceptual understanding in children's explanations in a fraction interview. In Ian Putt, Rhonda Farragher and Mal McLean (Ed.). Mathematics Education for the third millennium: Towards 2010, Proceedings of the 27th annual conference of the Mathematics Education Research Group of Australasia. Townsville,Australia: James Cook University. pp. 367 - 373
When does the successful comparison of decimals reflect conceptual understanding?
Clarke, Douglas McLean and Roche, Anne. (2004). When does the successful comparison of decimals reflect conceptual understanding? In Ian Putt, Rhonda Farragher and Mal McLean (Ed.). Mathematics Education for the Third Millennium: Towards 2010 (Proceedings of the 27th Annual Conference of the Mathematics Education Research Group of Australia). Townsville,Australia: James Cook University. pp. 486 - 493
Using questioning to elicit and develop children's mathematical thinking
Clarke, Barbara and Clarke, Douglas McLean. (2004). Using questioning to elicit and develop children's mathematical thinking. In In G.W. Bright and R.N. Rubenstein (Ed.). Perspectives on the teaching of mathematics pp. 5 - 10 National Council of Teachers of Mathematics.
Encouraging perseverance in elementary mathematics
Clarke, Doug and Clarke, Barbara. (2003). Encouraging perseverance in elementary mathematics. Teaching Children Mathematics.
An issue in teaching and learning subtraction: What's the difference?
Clarke, Doug. (2003). An issue in teaching and learning subtraction: What's the difference? Australian Primary Mathematics Classroom. 8(3), pp. 4 - 11.
Understanding; assessing and developing young children's mathematical thinking
McDonough, A., Clarke, Doug and Clarke, Barbara. (2003). Understanding; assessing and developing young children's mathematical thinking. 9th National Conference of the Association for Mathematics Education of South Africa. Cape Town,South Africa: Association for Mathematics Education of South Africa. pp. 11 - 31
Assessing and developing measurement with young children
Clarke, Douglas McLean, Cheeseman, Jill and McDonough, Andrea Mary. (2003). Assessing and developing measurement with young children. In In D. H. Clements and G. Bright (Ed.). Learning and Teaching Measurement pp. 68 - 80 National Council of Teachers of Mathematics.
Describing the practice of effective teachers of mathematics in the early years
McDonough, Andrea Mary and Clarke, Doug McLean. (2003). Describing the practice of effective teachers of mathematics in the early years. In N. A. Pateman, B. J. Dougherty and J. Zilliox (Ed.). Proceedings of the 27th Conference of the International Group for the Psychology of Mathematics. Honolulu, Hawaii, USA: International Group for the Psychology of Mathematics Education. pp. 261 - 268
Naïve and yet knowing: Young learners portray beliefs about mathematics and learning
McDonough, Andrea M.. (2002). Naïve and yet knowing: Young learners portray beliefs about mathematics and learning [Thesis]. https://doi.org/10.4226/66/5a8e4d814b7aa
Understanding assessing and developing young children's mathematical thinking: Research as a powerful tool for professional growth
Clarke, Doug. (2001). Understanding assessing and developing young children's mathematical thinking: Research as a powerful tool for professional growth. 24th Annual MERGA Conference. pp. 11 - 29