Time: Assessing understanding of core ideas

Conference item

Thomas, Margaret, McDonough, Andrea Mary, Clarkson, Philip and Clarke, Douglas McLean. (2016). Time: Assessing understanding of core ideas. In B. White, M. Chinnappan and S. Trenholm (Ed.). 39th Annual Conference of the Mathematics Education Research Group of Australasia. Australia: Mathematics Education Research Group of Australasia. pp. 600 - 607
AuthorsThomas, Margaret, McDonough, Andrea Mary, Clarkson, Philip and Clarke, Douglas McLean
Abstract

Although an understanding of time is crucial in our society, curriculum documents have an undue emphasis on reading time and little emphasis on core underlying ideas. Given this context, a one-to-one assessment interview, based on a new framework, was developed and administered to investigate students’ understanding of core ideas undergirding the notion of time: succession, duration and measurement. This paper reports on the development and implementation of the interview and initial results for Year 3/4 students.

Year2016
PublisherMathematics Education Research Group of Australasia
Web address (URL)https://www.merga.net.au/Public/Public/Publications/Annual_Conference_Proceedings/2016_MERGA_Conference_Proceedings.aspx
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File Access Level
Controlled
Book titleOpening Up Mathematics Education: Research Proceedings of the 39th Annual Conference of the Mathematics Education Research Group of Australasia
Page range600 - 607
ISBN9781920846299
Research GroupSchool of Education
Place of publicationAustralia
EditorsB. White, M. Chinnappan and S. Trenholm
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Clarkson, Philip. (2007). Lessons in Languages from Mathematics classrooms in Australia. In U.H. Cheah, Y. Wahyudi and R.P. Devadson (Ed.). Refining Learning Culture for Sustainability (Proceedings of the 2nd International Conference on Science and mathematics Education. Penang, Malaysia: SEAMEO RECSAM. pp. 20 - 28
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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
Helping Teachers to assess students' readiness to learn Mathematics
Sullivan, Peter and McDonough, Andrea Mary. (2007). Helping Teachers to assess students' readiness to learn Mathematics. In Peter L. Jeffery (Ed.). AARE 2006 International Education Research Conference Engaging Pedagogies. Melbourne, Australia: Australian Association for Research in Education. pp. 1 - 9
Ten key principles from research for the professional development of mathematics teachers
Clarke, Douglas McLean. (2007). Ten key principles from research for the professional development of mathematics teachers. In In G. C. Leder and H. J. Forgasz (Ed.). Stepping Stones for the 21st Century: Australasian Mathematics Education Research pp. 27 - 37 Sense Publishers.
Eliciting positive student motivation for learning mathematics
Sullivan, Peter and McDonough, Andrea Mary. (2007). Eliciting positive student motivation for learning mathematics. 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. 698 - 707
Making Connections Science and Mathematics :The MC SAM Project
Clarke, Douglas McLean, Hilton, Geoff, Wright, Tony and Dole, Shelley. (2007). Making Connections Science and Mathematics :The MC SAM Project. In U.H. Cheah, Y. Wahyudi and R.P. Devadson (Ed.). Refining Learning Culture for Sustainability (Proceedings of the 2nd International Conference on Science and mathematics Education. Penang, Malaysia: SEAMEO RECSAM. pp. 184 - 194
Rhyming and folk tales: Resources for mathematical thinking
Clarkson, Philip. (2006). Rhyming and folk tales: Resources for mathematical thinking. Australian Primary Mathematics Classroom. 11(4), pp. 18 - 23.
Fractions as division: The forgotten notion?
Clarke, Doug. (2006). Fractions as division: The forgotten notion? Australian Primary Mathematics Classroom. 11(3), pp. 4 - 10.
When successful comparison of decimals doesn't tell the story
Roche, Anne and Clarke, Douglas McLean. (2006). When successful comparison of decimals doesn't tell the story. 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. 425 - 432
Multicultural; classrooms: Contexts for much mathematics teaching and learning
Clarkson, Philip. (2006). Multicultural; classrooms: Contexts for much mathematics teaching and learning. In In F. Favilli (Ed.). Ethnomathematics and mathematics education pp. 9 - 16 Tipografia Editrice Pisana.
Reverting to English to teach mathematics: How are Malaysian teachers and students changing in response to a new language context for learning?
Clarkson, Philip and Indris, Noraini. (2006). Reverting to English to teach mathematics: How are Malaysian teachers and students changing in response to a new language context for learning? Journal of Science and Mathematics Education in Southeast Asia. 29(2), pp. 69 - 96.
Perhaps the decision of some students not to engage in learning mathematics in school is deliberate
Sullivan, Peter, Tobias, Steve and McDonough, Andrea Mary. (2006). Perhaps the decision of some students not to engage in learning mathematics in school is deliberate. Educational Studies in Mathematics. 62(1), pp. 81 - 99. https://doi.org/10.1007/s10649-006-1348-8
Student Engagement in the Middle Years :Describing Influences and Possible Teacher Actions
Prain, Vaughan, Sullivan, Peter and McDonough, Andrea Mary. (2006). Student Engagement in the Middle Years :Describing Influences and Possible Teacher Actions. Australian Association for Research in Education 2005 Conference Papers. Melbourne, Australia: Australian Association for Research in Education. pp. 1 - 8
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
Examining the changed role of numeracy coordinators
Clarke, Douglas McLean and Cheeseman, Jill. (2006). Examining the changed role of numeracy coordinators. In P. Grootenboer, R. Zevenbergen and M. Chinnappan (Ed.). Identities; Cultures; and Learning: Proceedings of the 29th annual conference of the Mathematics Education Research Group of Australasia. Canberra, Australia: Mathematics Education Research Group of Australasia. pp. 123 - 130
Written algorithms in the primary years: Undoing the good work?
Clarke, D.. (2005). Written algorithms in the primary years: Undoing the good work? In M. Coupland, J. Anderson and T. Spencer (Ed.). Making mathematics vital (Proceedings of the 20th biennial conference of the Australian Association of Mathematics Teachers). Adelaide, Australia: Australian Association of Mathematics Teachers. pp. 93 - 98
Professional development as a catalyst for changes in beliefs and practice :perspectives from the Early Numeracy Research Project
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
The feasibility and effectiveness of pram walking groups for postpartum women in western Sydney
Watson, Natalie, Milat, Andrew, Thomas, Margaret and Currie, Janet. (2005). The feasibility and effectiveness of pram walking groups for postpartum women in western Sydney. Health Promotion Journal of Australia. 16(2), pp. 93 - 99.
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
Teaching mathematics in multilingual classrooms :The global importance of contexts
Clarkson, Philip. (2004). Teaching mathematics in multilingual classrooms :The global importance of contexts. In I.P. Cheong, H.S. Dhindsa and I.J. Kyeleve (Ed.). Globalisation trends in Science; Mathematics and Technical Education. Brunei Darussalam,Brunei: Universiti Brunei Darussalam. pp. 9 - 23
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.
Multilingual contexts for teaching mathematics
Clarkson, Philip. (2004). Multilingual contexts for teaching mathematics. In M.J. Hoines and A.B. Fuglestad (Ed.). Proceedings of the 28th Conference of the International group for the psychology of mathematics education. Bergen,Norway: International Group for the Psychology of Mathematics Education. pp. 236 - 239
Mathematics education in international and global contexts
Clarkson, Philip, Atweh, Bill and Nebres, Bienvenido. (2003). Mathematics education in international and global contexts. In In A. Bishop, M. Clements and C. Keitel et al. (Ed.). Second international handbook of mathematics education pp. 185 - 232 Kluwer Academic Publishers.
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
Language; logical thinking and communication in school mathematics: Whose responsibility?
Clarkson, Philip. (2003). Language; logical thinking and communication in school mathematics: Whose responsibility? In In H. S. Dhindsa, L. S. Bee and P. Achleitner et al. (Ed.). Studies in science; mathematics and technical education pp. 99 - 116 Universiti Brunei Darussalam.
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