Writing in groups as a tool for non-routine problem solving in first year university mathematics

Article


Taylor, Janet A. and McDonald, Christine. 2007. "Writing in groups as a tool for non-routine problem solving in first year university mathematics." International Journal of Mathematical Education in Science and Technology. 38 (5), pp. 639-655. https://doi.org/10.1080/00207390701359396
Article Title

Writing in groups as a tool for non-routine problem solving in first year university mathematics

ERA Journal ID20498
Article CategoryArticle
AuthorsTaylor, Janet A. (Author) and McDonald, Christine (Author)
Journal TitleInternational Journal of Mathematical Education in Science and Technology
Journal Citation38 (5), pp. 639-655
Number of Pages17
Year2007
Place of PublicationLondon, United Kingdom
ISSN0020-739X
1464-5211
Digital Object Identifier (DOI)https://doi.org/10.1080/00207390701359396
Abstract

Development of mathematical problem solving skills is an age old problem in mathematics. This paper details the design of a component of a first year university mathematics course in which group work and mathematical
communication skills, especially writing skills, are used as a tool to develop non-routine problem solving skills. In this design Polya’s problem solving framework and a writing heuristic are used synergistically with group work to develop the mathematical skills and enhance the mathematical communication skills of novice students. Students’ perceptions and performance indicate that this
strategy has been a success and has facilitated the development of some metacognitive behaviours in the students.

Keywordsmathematics; problem solving; writing; first year university
ANZSRC Field of Research 2020390109. Mathematics and numeracy curriculum and pedagogy
520499. Cognitive and computational psychology not elsewhere classified
390409. Learning sciences
Public Notes

Files associated with this item cannot be displayed due to copyright restrictions.

Byline AffiliationsLearning and Teaching Support Unit
Department of Mathematics and Computing
Permalink -

https://research.usq.edu.au/item/9y794/writing-in-groups-as-a-tool-for-non-routine-problem-solving-in-first-year-university-mathematics

  • 2225
    total views
  • 11
    total downloads
  • 1
    views this month
  • 0
    downloads this month

Export as

Related outputs

Ten simple rules for learning the language of statistics
Richardson, Alice M., Dunn, Peter K., Carey, Michael D. and McDonald, Christine. 2016. "Ten simple rules for learning the language of statistics." MacGilivray, Helen, Martin, Michael A. and Phillips, Brian (ed.) OZCOTS 2016: Satellite to ASC 2016 Australian Statistical Conference. Canberra, Australia 08 - 09 Dec 2016 Australia.
Introductory statistics textbooks and the GAISE recommendations
Dunn, Peter K., Carey, Michael D., Farrar, Michael B., Richardson, Alice M. and McDonald, Christine. 2017. "Introductory statistics textbooks and the GAISE recommendations." The American Statistician. 71 (4), pp. 326-335. https://doi.org/10.1080/00031305.2016.1251972
Learning the language of statistics: challenges and teaching approaches
Dunn, Peter K., Carey, Michael D., Richardson, Alice M. and McDonald, Christine. 2016. "Learning the language of statistics: challenges and teaching approaches." Statistics Education Research Journal. 15 (1), pp. 8-27.
Instructor perceptions of using a mobile phone-based, free classroom response system in first-year statistics undergraduate courses: implications for teaching practice
Dunn, Peter K., Richardson, Alice, McDonald, Christine, Oprescu, Florin and Fairweather, Helen. 2011. "Instructor perceptions of using a mobile phone-based, free classroom response system in first-year statistics undergraduate courses: implications for teaching practice." Hannah, John and Thomas, Mike (ed.) 8th Southern Hemisphere Conference on the Teaching and Learning of Undergraduate Mathematics and Statistics: Volcanic Delta 2011. Rotorua, New Zealand 27 Nov - 02 Dec 2011
Conceptualising, implementing and evaluating the use of digital technologies to enhance mathematical understanding: reflections on an innovation–development cycle
Galligan, Linda, McDonald, Christine, Hobohm, Carola, Loch, Birgit and Taylor, Janet. 2015. "Conceptualising, implementing and evaluating the use of digital technologies to enhance mathematical understanding: reflections on an innovation–development cycle." Lock, Jennifer, Danaher, Patrick and Redmond, Petrea (ed.) Educational developments, practices and effectiveness: global perspectives and contexts. United Kingdom. Palgrave Macmillan. pp. 137-160
CRiSP: an instrument for assessing student perceptions of classroom response systems
Richardson, Alice M., Dunn, Peter K., McDonald, Christine and Oprescu, Florin. 2015. "CRiSP: an instrument for assessing student perceptions of classroom response systems." Journal of Science Education and Technology. 24 (4), pp. 432-447. https://doi.org/10.1007/s10956-014-9528-2
StatsCasts: screencasts for complementing lectures in statistics classes
Dunn, Peter K., McDonald, Christine and Loch, Birgit. 2015. "StatsCasts: screencasts for complementing lectures in statistics classes." International Journal of Mathematical Education in Science and Technology. 46 (4), pp. 521-532. https://doi.org/10.1080/0020739X.2014.990530
StatsCasts: supporting student learning of introductory statistics
McDonald, Christine, Dunn, Peter K., Loch, Birgit and Weiss, Vida. 2013. "StatsCasts: supporting student learning of introductory statistics." Deborah, King, Birgit, Loch and Leanne, Rylands (ed.) 9th Delta Conference of Teaching and Learning of Undergraduate Mathematics and Statistics 2013: Shining Through the Fog. Kiama, Australia 24 - 29 Nov 2013 Sydney, Australia.
Mobile-phone-based classroom response systems: students' perceptions of engagement and learning in a large undergraduate course
Dunn, Peter K., Richardson, Alice, Oprescu, Florin and McDonald, Christine. 2013. "Mobile-phone-based classroom response systems: students' perceptions of engagement and learning in a large undergraduate course." International Journal of Mathematical Education in Science and Technology. 44 (8), pp. 1160-1174. https://doi.org/10.1080/0020739X.2012.756548
Instructor perceptions of using a mobile-phone-based, free classroom response system in first-year statistics undergraduate courses
Dunn, Peter K., Richardson, Alice, McDonald, Christine and Oprescu, Florin. 2012. "Instructor perceptions of using a mobile-phone-based, free classroom response system in first-year statistics undergraduate courses." International Journal of Mathematical Education in Science and Technology. 43 (8), pp. 1041-1056. https://doi.org/10.1080/0020739X.2012.678896
Case study: real-time communication in a mathematics online learning community
Loch, Birgit and McDonald, Christine. 2011. "Case study: real-time communication in a mathematics online learning community." Kear, Karen (ed.) Online and social networking communities: a best practice guide for educators . New York, NY. United States. Routledge. pp. 129-131
Bridging a discipline divide through the lens of community of inquiry
Redmond, Petrea and McDonald, Christine. 2011. "Bridging a discipline divide through the lens of community of inquiry." Abawi, Lindy, Conway, Joan M. and Henderson, Robyn (ed.) Creating connections in teaching and learning. Charlotte, NC, United States. Information Age Publishing. pp. 249-263
Learner-centred mathematics and statistics education using netbook tablet PCs
Loch, Birgit, Galligan, Linda, Hobohm, Carola and McDonald, Christine. 2011. "Learner-centred mathematics and statistics education using netbook tablet PCs." International Journal of Mathematical Education in Science and Technology. 42 (7), pp. 939-949. https://doi.org/10.1080/0020739X.2011.611910
Adjusting the community of inquiry approach to a synchronous mathematical context
McDonald, Christine and Loch, Birgit. 2008. "Adjusting the community of inquiry approach to a synchronous mathematical context." Atkinson, Roger J. and McBeath, Clare (ed.) 25th Annual Conference of the Australasian Society for Computers in Learning in Tertiary Education (ASCILITE 2008). Melbourne, Australia 30 Nov - 03 Dec 2008 Melbourne, Australia.
Managing diversity in first year service mathematics course: integration of effective numeracy teaching principles and management theory
Taylor, Janet A. and Mander, David. 2002. "Managing diversity in first year service mathematics course: integration of effective numeracy teaching principles and management theory." 6th Pacific Rim First Year in Higher Education Conference (FYHE 2002). Christchurch, New Zealand 08 - 10 Jul 2002
Assessment: a tool for development and engagement in the first year of university study
Taylor, Janet A.. 2006. "Assessment: a tool for development and engagement in the first year of university study." 9th Pacific Rim First Year in Higher Education Conference (FYHE 2006). Gold Coast, Australia 12 - 14 Jul 2006
Bridging the divide by screencasting in an introductory statistics class at an Australian university
Khan, Shahjahan, Loch, Birgit and McDonald, Christine. 2010. "Bridging the divide by screencasting in an introductory statistics class at an Australian university." Amin, Zeinab and Hadi, Ali S. (ed.) 10th Islamic Countries Conference on Statistical Sciences. Cairo, Egypt 20 - 23 Dec 2009 Lahore, Pakistan.
Interaction in synchronous chat tutorials to facilitate learning in introductory statistics
McDonald, Christine, Loch, Birgit and Lloyd, Margaret. 2010. "Interaction in synchronous chat tutorials to facilitate learning in introductory statistics." Reading, Chris (ed.) ICOTS8: Data and Context in Statistics Education: Towards an Evidence-Based Society. Ljubljana, Slovenia 11 - 16 Jul 2010 Voorburg, The Netherlands.
The use of tablet and related technologies in mathematics teaching
Galligan, Linda, Loch, Birgit, McDonald, Christine and Taylor, Janet A.. 2010. "The use of tablet and related technologies in mathematics teaching." Australian Senior Mathematics Journal. 24 (1), pp. 38-51.
Distance education teaching and tutoring: two evolving Australian models
Fuller, Anne, McFarlane, Penney, Cretchley, Patricia, McDonald, Christine and Lam, Cam Le. 2005. "Distance education teaching and tutoring: two evolving Australian models." 8th IFIP World Conference on Computers in Education (WCCE 2005): 40 Years of Computers in Education: What Works?. Stellenbosch, South Africa 04 - 07 Jul 2005 Irene, South Africa.
Perceived mathematical proficiencies required for first year study at The University of Southern Queensland
Taylor, Janet A., Galligan, Linda and Van Vuuren, Peter. 1998. Perceived mathematical proficiencies required for first year study at The University of Southern Queensland. Toowoomba, Australia. University of Southern Queensland.
Assessment in first year university: a model to manage transition
Taylor, Janet A.. 2008. "Assessment in first year university: a model to manage transition ." Journal of University Teaching and Learning Practice. 5 (1), pp. 19-33.
Learning approaches, personality and concepts of knowledge of first-year students: mature-age versus school leaver
Burton, Lorelle J., Taylor, Janet A., Dowling, David G. and Lawrence, Jill. 2009. "Learning approaches, personality and concepts of knowledge of first-year students: mature-age versus school leaver." Studies in Learning Evaluation Innovation and Development. 6 (1), pp. 65-81.
Adults returning to study mathematics
Galligan, Linda and Taylor, Janet A.. 2008. "Adults returning to study mathematics." Forgasz, Helen, Barkatsas, Anastasios, Bishop, Alan, Clarke, Barbara, Keast, Stephen, Seah, Wee Tiong and Sullivan, Peter (ed.) Research in mathematics education in Australasia 2004-2007. Rotterdam, Netherlands. Sense Publishers. pp. 99-118
Mathematics support program for commencing engineering students between 1990 and 1996: an Australian case study
Taylor, Janet A. and Morgan, Michael J.. 1999. "Mathematics support program for commencing engineering students between 1990 and 1996: an Australian case study." International Journal of Engineering Education. 15 (6), pp. 486-492.
Mathematics for math anxious students studying at a distance
Taylor, Janet A. and Mohr, Joan. 2001. "Mathematics for math anxious students studying at a distance ." Journal of Developmental Education. 25 (1), pp. 30-41.
Making students AWARE: an online strategy for students given academic warning
Taylor, Janet A. and Lawrence, Jill. 2007. "Making students AWARE: an online strategy for students given academic warning." Studies in Learning Evaluation Innovation and Development. 4 (2), pp. 39-52.
Studying at university: early perceptions and experiences of first year service mathematics students
Taylor, Janet A. and Mander, Alison. 2007. "Studying at university: early perceptions and experiences of first year service mathematics students ." Studies in Learning Evaluation Innovation and Development. 4 (3), pp. 29-43.
Managing staff development for online education: a situated learning model
Taylor, Janet A.. 2003. "Managing staff development for online education: a situated learning model." Journal of Higher Education Policy and Management. 25 (1), pp. 75-87. https://doi.org/10.1080/13600800305742
Self test: a flexible self assessment package for distance and other learners
Taylor, Janet. 1998. "Self test: a flexible self assessment package for distance and other learners." Computers and Education. 31 (3), pp. 319-328. https://doi.org/10.1016/S0360-1315(98)00044-X
Research into research on adults in Bridging Mathematics: the past, the present and the future
Taylor, Janet A. and Galligan, Linda. 2006. "Research into research on adults in Bridging Mathematics: the past, the present and the future." Horne, M. and Marr, B. (ed.) 12th Annual International Conference of Adults Learning Mathematics-A Research Forum (ALM) jointly with the Australian Council for Adult Literacy. Melbourne, Australia 03 - 07 Jul 2005 Melbourne, Australia.
A web 2.0/web3D hybrid platform for engaging students in e-learning environments
de Byl, Penny and Taylor, Janet. 2007. "A web 2.0/web3D hybrid platform for engaging students in e-learning environments." Turkish Online Journal of Distance Education. 8 (3), pp. 108-127.
Analysis of student beliefs in a tertiary preparatory mathematics course
Carmichael, Colin S. and Taylor, Janet A.. 2005. "Analysis of student beliefs in a tertiary preparatory mathematics course." Kingfisher Delta '05: 5th Southern Hemisphere Conference on Undergraduate Mathematics and Statistics Teaching and Learning. Fraser Island, Australia 22 - 26 Nov 2005 London, United Kingdom. https://doi.org/10.1080/00207390500271065
Staff perceptions of factors related to non-completion in higher education
Taylor, Janet A. and Bedford, Tasman. 2004. "Staff perceptions of factors related to non-completion in higher education ." Studies in Higher Education. 29 (3), pp. 375-394. https://doi.org/10.1080/03075070410001682637
Mathematics for maths anxious tertiary students: integrating the cognitive and affective domains using interactive multimedia
Taylor, Janet and Galligan, Linda. 2006. "Mathematics for maths anxious tertiary students: integrating the cognitive and affective domains using interactive multimedia." Literacy and Numeracy Studies. 15 (1), pp. 23-43.
Synchronous chat and electronic ink for distance support in mathematics
Loch, Birgit and McDonald, Christine. 2007. "Synchronous chat and electronic ink for distance support in mathematics." Innovate: Journal of Online Education. 3 (3), pp. 1-5.
Undergraduate mathematics and the role of mathematics learning support
Taylor, Janet A.. 1999. "Undergraduate mathematics and the role of mathematics learning support." Spunde, Walter, Cretchley, Patricia and Hubbard, R. (ed.) Delta '99, the Second Symposium on Undergraduate Mathematics. Laguna Quays, Australia 21 - 24 Nov 1999 Queensland.
Identifying at-risk students: is it possible in a tertiary preparation course for adults?
Carmichael, Colin S., Dunn, Peter K. and Taylor, Janet A.. 2006. "Identifying at-risk students: is it possible in a tertiary preparation course for adults?" Grootenboer, Peter, Zevenbergen, Robyn and Chinnappan, Mohan (ed.) 29th Annual Conference of the Mathematics Education Research Group of Australasia (MERGA29). Canberra, Australia 01 - 05 Jul 2006 Wahroonga, Sydney, Australia.
The evolution of online learning in bridging mathematics at a distance: the tension between learning needs, technological innovation and access restrictions in an Australian regional university
Taylor, Janet A.. 2002. "The evolution of online learning in bridging mathematics at a distance: the tension between learning needs, technological innovation and access restrictions in an Australian regional university." Statham, M. (ed.) Crossing the Bridge: Proceedings of the 10th Australasian Bridging Mathematics. Auckland, New Zealand. UNITEC. pp. 67-74
Learning styles among mature age students: some comments on the approaches to studying inventory (ASI-S)
Fogarty, Gerard J. and Taylor, Janet A.. 1997. "Learning styles among mature age students: some comments on the approaches to studying inventory (ASI-S)." Higher Education Research and Development. 16 (3), pp. 321-330. https://doi.org/10.1080/0729436970160306
Developing study skills in a first year mathematics course
Taylor, Janet A. and Mander, David. 2003. "Developing study skills in a first year mathematics course." New Zealand Journal of Mathematics. 32 (Supplementary issue), pp. 217-225.