Gap thinking in fraction pair comparisons is not whole number thinking :is this what early equivalence thinking sounds like?

Conference item

Mitchell, Annie and Horne, Marj. (2010). Gap thinking in fraction pair comparisons is not whole number thinking :is this what early equivalence thinking sounds like? In L. Sparrow, B. Kissane and C. Hurst (Ed.). 33rd Annual Conference of the Mathematics Education Research Group of Australasia. John Curtin College of the Arts, Fremantle, Western Australia, Australia 03 - 07 Jul 2010 Australia: Mathematics Education Research Group of Australasia. pp. 414 - 421
AuthorsMitchell, Annie and Horne, Marj
KeywordsMathematics and Numeracy;--Curriculum and Pedagogy;--Learner Development
Year2010
PublisherMathematics Education Research Group of Australasia
Web address (URL)http://www.merga.net.au/documents/MERGA33_Mitchell&Horne.pdf
Open accessOpen access
Page range414 - 421
ISBN9781920846251
Research GroupSchool of Education
Place of publicationAustralia
EditorsL. Sparrow, B. Kissane and C. Hurst
Permalink -

https://acuresearchbank.acu.edu.au/item/882v2/gap-thinking-in-fraction-pair-comparisons-is-not-whole-number-thinking-is-this-what-early-equivalence-thinking-sounds-like

Log in to edit
  • 110
    total views
  • 0
    total downloads
  • 0
    views this month
  • 0
    downloads this month
These values are for the period from 19th October 2020, when this repository was created.

Export as

Related outputs

International osteoporosis foundation and European calcified tissue society working group. Recommendations for the screening of adherence to oral bisphosphonates
Diez-Perez, Aldolfo, Naylor, K. E., Abrahamsen, Bo, Agnusdei, D., Brandi, Maria L., Cooper, Cyrus, Dennison, Elaine M., Eriksen, E. F., Gold, D. T., Guañabens, N., Hadji, P., Hiligsmann, Mickaël, Horne, R., Josse, R. G., Kanis, John, Obermayer-Pietsch, Barbara, Prieto-Alhambra, D., Reginster, Jean Y., Rizzoli, Rene, ... Eastell, Richard. (2017). International osteoporosis foundation and European calcified tissue society working group. Recommendations for the screening of adherence to oral bisphosphonates. Osteoporosis International. 28(3), pp. 767 - 774. https://doi.org/10.1007/s00198-017-3906-6
Schools and Families in Partnership for Learning in Faith-Based Schools
Mitchell, Annie, Chapman, Judith, McNamara, Sue and Horne, Marjorie. (2014). Schools and Families in Partnership for Learning in Faith-Based Schools. In In J. D. Chapman, S. McNamara and M. J Reiss & Y. Waghid (Ed.). International Handbook of Learning, Teaching and Leading in Faith-Based Schools pp. 657 - 674 Springer. https://doi.org/10.1007/978-94-017-8972-1_38
Career change teachers: Pragmatic choice or a vocation postponed?
Mattarozzi Laming, Madeleine Hazel and Horne, Marj. (2013). Career change teachers: Pragmatic choice or a vocation postponed? Teachers and Teaching: Theory and Practice. 19(3), pp. 326 - 343. https://doi.org/10.1080/13540602.2012.754163
Measuring inviting school climate: A case study of a public primary school in an urban low socioeconomic setting in Kenya
Okaya, Tom Mboya, Horne, Marj, Laming, Madeleine and Smith, Kenneth H.. (2013). Measuring inviting school climate: A case study of a public primary school in an urban low socioeconomic setting in Kenya. Journal of Invitational Theory and Practice. 19, pp. 15 - 29.
Demonstration lessons in mathematics education: Teachers' observation foci and intended changes in practice
Clarke, Doug, Roche, Anne, Wilkie, Karina, Wright, Vince, Brown, Jill, Downton, Ann, Horne, Marjorie, Knight, Rose, McDonough, Andrea, Sexton, Matthew and Worrall, Chris. (2013). Demonstration lessons in mathematics education: Teachers' observation foci and intended changes in practice. Mathematics Education Research Journal. 25(2), pp. 207 - 230. https://doi.org/10.1007/s13394-012-0058-z
The four-three-four model: Drawing on partitioning, equivalence, and unit-forming in a quotient sub-construct fraction task
Mitchell, Annie. (2012). The four-three-four model: Drawing on partitioning, equivalence, and unit-forming in a quotient sub-construct fraction task. In J Dindyal, L P Cheng and S F Ng (Ed.). Mathematics education: Expanding horizons. Proceedings of the 35th annual conference of the Mathematics Education Research Group of Australasia. Australia: Mathematics Education Research Group of Australasia. pp. 513 - 520
The four-three-four model: Drawing on partitioning, equivalence, and unit-forming in a quotient sub-construct fraction task
Mitchell, Annie. (2012). The four-three-four model: Drawing on partitioning, equivalence, and unit-forming in a quotient sub-construct fraction task. In J Dindyal, L P Cheng and S F Ng (Ed.). Mathematics education: Expanding horizons. Proceedings of the 35th annual conference of the Mathematics Education Research Group of Australasia. Australia: Mathematics Education Research Group of Australasia. pp. 513 - 520
Measurement matters: Fraction number lines and length concepts are related
Mitchell, Annie and Horne, Marj. (2011). Measurement matters: Fraction number lines and length concepts are related. In In J. Way and J. Bobis (Ed.). pp. 52 - 62 Australian Association of Mathematics Teachers.
Listening to children's explanations of fraction pair tasks: When more than an answer and an initial explanation are needed
Mitchell, Annie and Horne, Marj. (2011). Listening to children's explanations of fraction pair tasks: When more than an answer and an initial explanation are needed. 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. 515 - 522
One-to-one student interviews provide powerful insights and clear focus for the teaching of fractions in the middle years
Clarke, Doug, Roche, Anne and Mitchell, Annie. (2011). One-to-one student interviews provide powerful insights and clear focus for the teaching of fractions in the middle years. In In Way, Jenni and Bobis, Janette (Ed.). Fractions : Teaching for understanding pp. 23-32 Australian Association of Mathematics Teachers.
Students provide information on affective domain and learning environment through interview
Horne, Marjorie. (2009). Students provide information on affective domain and learning environment through interview. In M. Tzekaki, M. Kaldrimidou and H. Sakonidis (Ed.). In Search for Theories in Mathematics Education: Proceedings of the 33rd Conference of the International Group for the Psychology of Mathematics Education. Thessaloniki, Greece: International Group for the Psychology of Mathemati.... pp. 185 - 192
There are more than part-whole strategies at work in understanding non-equal-parts fraction-area-models
Mitchell, Annie and Horne, Marjorie. (2009). There are more than part-whole strategies at work in understanding non-equal-parts fraction-area-models. In R. Hunter, B. Bicknell and T. Burgess (Ed.). Crossing Divides: Proceedings of the 32nd Annual Conference of the Mathematics Education Research Group of Australasia (MERGA). Palmerston North, New Zealand: Mathematics Education Research Group of Australasia. pp. 371 - 378
Ten practical tips for making fractions come alive and make sense
Clarke, Doug, Roche, Anne and Mitchell, Annie. (2008). Ten practical tips for making fractions come alive and make sense. Mathematics Teaching in the Middle School. 13(7), pp. 373 - 380.
Developing understanding of triangle
Horne, Marjorie and Watson, Kelly. (2008). Developing understanding of triangle. In Olimpia Figueras, Jose Luis Cortina and Silvia Alatorre (Ed.). Proceedings of the Joint Meeting of PME32 and PME-NA XXX. Morelia, Mexico: Cinvestav-UMSNH. pp. 177 - 184
Fraction number line tasks and the additivity concept of length measurement
Mitchell, Annie and Horne, Marjorie. (2008). Fraction number line tasks and the additivity concept of length measurement. In M. Goos, R. Brown and K. Makar (Ed.). Proceedings of the 31st Annual Conference of the Mathematics Education Research Group of Australasia. Brisbane, Australia: Mathematics Education Research Group of Australasia. pp. 353 - 360
Using education research to inform Mathematics teaching in a school
Horne, Marjorie. (2008). Using education research to inform Mathematics teaching in a school. In Olimpia Figueras, Jose Luis Cortina and Silvia Alatorre (Ed.). Proceedings of the Joint Meeting of PME32 and PME-NA XXX. Morelia, Mexico: Cinvestav-UMSNH. pp. 81 - 86
Sprouting of dopamine terminals and altered dopamine release and uptake in parkinsonian dyskinaesia
Lee, Joohyung, Zhu, Wen-Mei, Stanic, Davor, Finkelstein, David, Horne, Marj, Henderson, Jasmine, Lawrence, Andrew, O'Connor, Louise, Tomas, Doris, Drago, John and Horne, Malcolm. (2008). Sprouting of dopamine terminals and altered dopamine release and uptake in parkinsonian dyskinaesia. Brain: a journal of neurology. 131(6), pp. 1574 - 1587. https://doi.org/10.1093/brain/awn085
Year Six Fraction Understanding :A Part of the Whole Story
Clarke, Douglas McLean, Mitchell, Annie and Roche, Anne. (2007). Year Six Fraction Understanding :A Part of the Whole Story. In J Watson and K Beswick (Ed.). 30th annual conference of the Mathematics Education Research Group of Australasia. Wrest Point Hotel Casino, Hobart, Tasmania, Australia 02 - 06 Jul 2007 Adelaide,Australia: Mathematics Education Research Group of Australasia. pp. 207 - 216
Young children developing place value understandings
Horne, Marjorie and Livy, Sharyn. (2006). Young children developing place value understandings. In Jarmila Novotna, Hana Moraova and Magdalena Kratka (Ed.). Proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education. Prague, Czech Republic: Charles University. pp. 313 - 320
A longitudinal study of children's mental computation skills
Clarke, Douglas McLean, Clarke, Barbara and Horne, Marjorie. (2006). A longitudinal study of children's mental computation skills. In J. Novotna, H. Moraova and M. Kratka (Ed.). Proceedings of the 30th Conference of the International Group of Psychology of Mathematics. Prague, Czech Republic: Charles University. pp. 329 - 336
Assessing student understanding of fractions using task-based interviews
Clarke, Douglas McLean, Roche, Anne, Mitchell, Annie and Sukenik, Michal. (2006). Assessing student understanding of fractions using task-based interviews. In J. Novotna, H. Moraova and M. Kratka (Ed.). Proceedings of the 30th Conference of the International Group of Psychology of Mathematics Education. Prague, Czech Republic: Charles University. pp. 337 - 344
Algebra revisited
Horne, Marjorie. (2005). Algebra revisited. In M. Coupland, J. Anderson and T. Spencer (Ed.). Making Mathematics Vital: The Proceedings of the Twentieth biennial conference of the Australian Association of Mathematics Teachers Inc.. Adelaide, Australia: Australian Association of Mathematics Teachers. pp. 308 - 315
The effects of number knowledge at school entry on subsequent number development: A five-year longitudinal study
Horne, Marjorie. (2005). The effects of number knowledge at school entry on subsequent number development: A five-year longitudinal study. 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. 443 - 450
Gender and mathematics
Horne, Marjorie, Vale, Colleen and Forgasz, Helen. (2004). Gender and mathematics. In In B. Berry, G. Anthony and C. Diezmann (Ed.). Research in Mathematics Education in Australasia; 2000-2003 pp. 75 - 100 Post Pressed.
Early Gender Differences
Horne, Marjorie. (2004). Early Gender Differences. In Marit Johnsen Hoines and Anne Berit Fuglestad (Ed.). Proceedings of the 28th Conference of the International group for the psychology of mathematics education. Bergen, Norway: Bergen University College. pp. 23802 - 25993
Class grouping for mathematics: What do we know?
Horne, Marjorie. (2004). Class grouping for mathematics: What do we know? In In E. Clarke, L. Johansson and W. Lester (Ed.). International Perspectives on Learning and Teaching of Mathematics pp. 395 - 410 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
Properties of shape
Horne, Marj. (2003). Properties of shape. Australian Primary Mathematics Classroom. 8(2), pp. 8 - 13.
Gender differences in the early years in addition and subtraction
Horne, Marjorie. (2003). Gender differences in the early years in addition and subtraction. In N. A. Pateman, B. J. Dougherty and J. Zilliox (Ed.). Proceedings of the 2003 Joint Meeting of PME and PMENA. Honolulu, United States: Curriculum Research and Development Group - University of Hawaii. pp. 79 - 86