Using mathematics to solve real world problems: the role of enablers
Journal article
Geiger, Vince, Stillman, Gloria, Brown, Jill P., Galbraith, Peter and Niss, Mogens. (2018). Using mathematics to solve real world problems: the role of enablers. Mathematics Education Research Journal. 30(1), pp. 7 - 19. https://doi.org/10.1007/s13394-017-0217-3
| Authors | Geiger, Vince, Stillman, Gloria, Brown, Jill P., Galbraith, Peter and Niss, Mogens |
|---|---|
| Abstract | The purpose of this article is to report on a newly funded research project in which we will investigate how secondary students apply mathematical modelling to effectively address real world situations. Through this study, we will identify factors, mathematical, cognitive, social and environmental that Benable^ year 10/11 students to successfully begin themodelling process, that is, formulate and mathematise a real world problem. The 3-year study will take a design research approach in working intensively with six schools across two educational jurisdictions. It is anticipated that this research will generate new theoretical and practical insights into the role of Benablers^ within the process of mathematisation, leading to the development of principles for the design and implementation for tasks that support students’ development as modellers. |
| Year | 2018 |
| Journal | Mathematics Education Research Journal |
| Journal citation | 30 (1), pp. 7 - 19 |
| Publisher | Springer |
| ISSN | 1033-2170 |
| Digital Object Identifier (DOI) | https://doi.org/10.1007/s13394-017-0217-3 |
| Scopus EID | 2-s2.0-85041699750 |
| Page range | 7 - 19 |
| Research Group | Institute for Learning Sciences and Teacher Education (ILSTE) |
| Publisher's version | File Access Level Controlled |
| Place of publication | Netherlands |
| Editors | G. Anthony, J. Dindyal and V. Geiger |
Permalink -
https://acuresearchbank.acu.edu.au/item/87xz4/using-mathematics-to-solve-real-world-problems-the-role-of-enablers
Restricted files
Publisher's version
(1 files)
184
total views0
total downloads10
views this month0
downloads this month
Export as
Related outputs
Welcome to the era of vague news : A study of the demands of statistical and mathematical products in the COVID-19 pandemic media
Gal, Iddo and Geiger, Vince. (2022). Welcome to the era of vague news : A study of the demands of statistical and mathematical products in the COVID-19 pandemic media. Educational Studies in Mathematics. 111, pp. 5-28. https://doi.org/10.1007/s10649-022-10151-7Teachers' perception of and reflection on students' metacognitive knowledge in mathematical modelling processes
Wendt, Lisa, Krüger, Alexandra and Stillman, Gloria Ann. (2022). Teachers' perception of and reflection on students' metacognitive knowledge in mathematical modelling processes. In In Buchholtz, Nils, Schwarz, Björn and Vorhölter, Katrin (Ed.). Initiationen mathematikdidaktischer forschung : Festschrift zum 70. Geburtstag von Gabriele Kaiser pp. 137-154 Springer Spektrum. https://doi.org/10.1007/978-3-658-36766-4_7Mathematical modelling – A key to citizenship education
Maass, Katja, Artigue, Michèle, Burkhardy, Hugh, Doorman, Michiel, English, Lyn D., Geiger, Vincent, Krainer, Konrad, Potari, Despina and Schoenfeld, Alan. (2022). Mathematical modelling – A key to citizenship education. In In Buchholtz, Nils, Schwarz, Björn and Vorhölter, Katrin (Ed.). Initiationen mathematikdidaktischer Forschung pp. 31-50 Springer Spektrum. https://doi.org/10.1007/978-3-658-36766-4_2Using situated expectancy value theory to explore initial teacher education students' motivation to engage with challenging mathematical tasks
Fielding, Jill, Geiger, Vincent, Miller, Jodie, Bruder, Regina, Towara, Ulrike and Ratnayake, Iresha. (2022). Using situated expectancy value theory to explore initial teacher education students' motivation to engage with challenging mathematical tasks. Teaching and Teacher Education. 113, p. Article 103663. https://doi.org/10.1016/j.tate.2022.103663Developing a task design and implementation framework for fostering mathematical modelling competencies
Geiger, Vince, Galbraith, Peter, Niss, Mogens and Delzoppo, Catherine. (2022). Developing a task design and implementation framework for fostering mathematical modelling competencies. Educational Studies in Mathematics. 109(2), pp. 313-336. https://doi.org/10.1007/s10649-021-10039-yBuilding STEM in schools : An Australian cross-case analysis
Falloon, Garry, Stevenson, Michael, Beswick, Kim, Fraser, Sharon and Geiger, Vincent. (2021). Building STEM in schools : An Australian cross-case analysis. Educational Technology and Society. 24(4), pp. 110-122.PIAAC Cycle 2 assessment framework : Numeracy
Tout, Dave, Demonty, Isabelle, Diez-Palomar, Javier, Geiger, Vincent Stephen, Hoogland, Kees and Maguire, Terry. (2021). PIAAC Cycle 2 assessment framework : Numeracy. In The assessment frameworks for Cycle 2 of the Programme for the International Assessment of Adult Competencies pp. 65-153 OECD Publishing. https://doi.org/10.1787/c4221062-enGenerating a design and implementation framework for mathematical modelling tasks through researcher-teacher collaboration
Geiger, Vincent, Galbraith, Peter and Niss, Mogens. (2021). Generating a design and implementation framework for mathematical modelling tasks through researcher-teacher collaboration. In In Leung, Frederick Koon Shing, Stillman, Gloria Ann, Kaiser, Gabriele and Wong, Ka Lok (Ed.). Mathematical modelling education in east and west pp. 129-139 Springer. https://doi.org/10.1007/978-3-030-66996-6_11Modeling from a cognitive perspective : Theoretical considerations and empirical contributions
Schukajlow, Stanislaw, Kaiser, Gabriele Agnes Hildegard and Stillman, Gloria Ann. (2021). Modeling from a cognitive perspective : Theoretical considerations and empirical contributions. Mathematical Thinking and Learning. https://doi.org/10.1080/10986065.2021.2012631"Becoming" a researcher in mathematics education
Geiger, Vince. (2021). "Becoming" a researcher in mathematics education. 43rd annual conference of the Mathematics Education Research Group of Australasia. Singapore: Institute for Learning Sciences and Teacher Education, Australian Catholic University. pp. 29-46Mathematical modelling education in the cultural contexts of west and east
Leung, Frederick Koon Shing, Stillman, Gloria, Kaiser, Gabriele and Wong, Ka Lok. (2021). Mathematical modelling education in the cultural contexts of west and east. In In Leung, Frederick Koon Shing, Stillman, Gloria, Kaiser, Gabriele and Wong, Ka Lok (Ed.). Mathematical modelling education in east and west pp. 3-16 Springer. https://doi.org/10.1007/978-3-030-66996-6_1How principals can make a difference in STEM education
Likourezos, Vicki, Beswick, Kim, Geiger, Vince and Fraser, Sharon. (2020). How principals can make a difference in STEM education. Australian Educational Leader. 42(2), pp. 33-36.Facets of numeracy : Teaching, learning and practices
Geiger, Vince, Yasukawa, Keiko, Bennison, Anne, Wells, Jill and Sawatzki, Carly. (2020). Facets of numeracy : Teaching, learning and practices. In In Way, Jennife, Attard, Catherine, Anderson, Judy, Bobis, Janette, McMaster, Heather and Cartwright, Katherin (Ed.). Research in mathematics education in Australasia 2016-2019 pp. 59-89 Springer Nature. https://doi.org/10.1007/978-981-15-4269-5_4Sense-making in mathematical modelling and applications educational research and practice
Stillman, Gloria Ann, Kaiser, Gabriele and Lampen, Christine Erna. (2020). Sense-making in mathematical modelling and applications educational research and practice. In In Stillman, Gloria Ann, Kaiser, Gabriele and Lampen, Christine Erna (Ed.). Mathematical modelling education and sense-making pp. 15-29 Springer Nature. https://doi.org/10.1007/978-3-030-37673-4_2Yes, mathematicians do X so students should do X, but it’s not the X you think!
Stillman, Gloria, Brown, Jill and Czocher, Jennifer. (2020). Yes, mathematicians do X so students should do X, but it’s not the X you think! ZDM. 52(6), pp. 1211-1222. https://doi.org/10.1007/s11858-020-01183-5Numeracy across the curriculum as a model of integrating mathematics and science
Bennison, Anne and Geiger, Vince. (2020). Numeracy across the curriculum as a model of integrating mathematics and science. In In Anderson, Judy and Li, Yepping (Ed.). Integrated approaches to STEM education : An international perspective pp. 117-136 Springer Nature. https://doi.org/10.1007/978-3-030-52229-2_7Utilising a research-informed instructional design approach to develop an online resource to support teacher professional learning on embedding numeracy across the curriculum
Bennison, Anne, Goos, Merrilyn and Geiger, Vince. (2020). Utilising a research-informed instructional design approach to develop an online resource to support teacher professional learning on embedding numeracy across the curriculum. ZDM. 52(5), pp. 1017 - 1031. https://doi.org/10.1007/s11858-020-01140-2Numeracy in adult education : Discussing related concepts to enrich the Numeracy Assessment Framework
Díez-Palomar, Javier, Hoogland, Kees and Geiger, Vincent Stephen. (2019). Numeracy in adult education : Discussing related concepts to enrich the Numeracy Assessment Framework. Eleventh Congress of the European Society for Research in Mathematics Education (CERME11). Utrecht University, Utrecht, Netherlands Feb 2019 Freudenthal Institute, ERME. pp. 1-8State of the art on modelling in mathematics education--lines of inquiry
Stillman, Gloria Ann. (2019). State of the art on modelling in mathematics education--lines of inquiry. In In Stillman, Gloria Ann and Brown, Jill P. (Ed.). Lines of inquiry in mathematical modelling research in education pp. 1-20 SpringerOpen. https://doi.org/10.1007/978-3-030-14931-4_1Numeracy across the curriculum: Research-based strategies for enhancing and learning
Goos, Merrilyn, Geiger, Vince, Dole, Shelley, Forgasz, Helen and Bennison, Anne. (2019). Numeracy across the curriculum: Research-based strategies for enhancing and learning Allen & Unwin.The role of mathematics in interdisciplinary STEM education
Maass, Katja, Geiger, Vince, Ariza, Marta Romero and Goos, Merrilyn. (2019). The role of mathematics in interdisciplinary STEM education. ZDM. 51(6), pp. 869 - 884. https://doi.org/10.1007/s11858-019-01100-5Using mathematics as evidence supporting critical reasoning and enquiry in primary science classrooms
Geiger, Vince. (2019). Using mathematics as evidence supporting critical reasoning and enquiry in primary science classrooms. ZDM. 51(6), pp. 929 - 940. https://doi.org/10.1007/s11858-019-01068-2Designing challenging online mathematical tasks for initial teacher education: Motivational considerations
Fielding-Wells, Jill, Geiger, Vince, Miller, Jodie, Bruder, Regina, Roder, Ulrike and Ratnayake, Iresha. (2019). Designing challenging online mathematical tasks for initial teacher education: Motivational considerations. In M. Graven, H. Venkat and A. A. Essien and P. Vale (Ed.). 43rd Annual Meeting of the International Group for the Psychology of Mathematics Education, Pretoria, South Africa, 7 - 12 July 2019. Pretoria, South Africa: The International Group for the Psychology of Mathematics Education. pp. 240 - 247Defining the characteristics of critical mathematical thinking
Monteleone, Chrissoula, White, Paul and Geiger, Vince. (2018). Defining the characteristics of critical mathematical thinking. Proceedings of the 41st annual conference of the Mathematics Education Research Group of Australasia. Auckland, New Zealand 01 - 05 Jul 2018 Adelaide, SA: Mathematics Education Research Group of Australasia. pp. 559-566Le défi de la publication en contexte Anglophone de didactiens des mathématiques dont la langue dominante n’est pas l’Anglais – version Française commenté
Geiger, Vincent Stephen, Margolinas, Claire and Straesser, Rudolf. (2018). Le défi de la publication en contexte Anglophone de didactiens des mathématiques dont la langue dominante n’est pas l’Anglais – version Française commenté. Recherches en Didactique des Mathématiques. 38(1), pp. 1-32.A modelling challenge: students modelling problems of their choice
Galbraith, Peter L., Stillman, Gloria and Brown, Jill. (2018). A modelling challenge: students modelling problems of their choice. In In S. Schukajlow and W. Blum (Ed.). Evaluierte Lernumgebungen zum Modellieren [Evaluated Learning Environments for Modeling] pp. 193 - 214 https://doi.org/10.1007/978-3-658-20325-2Generating ideas for numeracy tasks across the curriculum
Geiger, Vince. (2018). Generating ideas for numeracy tasks across the curriculum. In J. Hunter, L. Darragh and P. Perger (Ed.). Proceedings of the 41st annual conference of the Mathematics Education Research Group of Australasia. Auckland, New Zealand 01 - 05 Jul 2018 New Zealand: MERGA. pp. 314 - 321An interdisciplinary approach to designing online learning: fostering pre-service mathematics teachers' capabilities in mathematical modelling
Geiger, Vince, Mulligan, Joanne, Date-Huxtable, Liz, Ahlip, Rehez, Jones, D. H., May, E. J., Rylands, Leanne and Wright, Ian. (2018). An interdisciplinary approach to designing online learning: fostering pre-service mathematics teachers' capabilities in mathematical modelling. ZDM: The International Journal on Mathematics Education. 50(43132), pp. 217 - 232. https://doi.org/10.1007/s11858-018-0920-xVerification and validation: what do we mean?
Czocher, Jennifer, Stillman, Gloria and Brown, Jill. (2018). Verification and validation: what do we mean? In J. Hunter, P. Perger and L. Darragh (Ed.). New Zealand: Mathematics Education Research Group of Australasia. pp. 250 - 257Learning and improving MKT through teaching and professional development mechanisms
Stillman, Gloria Ann. (2018). Learning and improving MKT through teaching and professional development mechanisms. In In Y. Li and R. Huang (Ed.). How Chinese acquire and improve mathematics knowledge for teaching pp. 263 - 274 Brill. https://doi.org/10.1163/9789463512367Empirical research on teaching and learning of mathematical modelling:a survey on the current state-of-the-art
Schukajlow, S., Kaiser, Gabriele and Stillman, Gloria. (2018). Empirical research on teaching and learning of mathematical modelling:a survey on the current state-of-the-art. ZDM: The International Journal on Mathematics Education. 50(43132), pp. 5 - 18. https://doi.org/10.1007/s11858-018-0933-5Early shared reading, socioeconomic status, and children’s cognitive and school competencies : Six years of longitudinal evidence
Shahaeian, Ameneh, Wang, Cen, Tucker-Drob, Elliot, Geiger, Vince, Bus, Adriana G. and Harrison, Linda J.. (2018). Early shared reading, socioeconomic status, and children’s cognitive and school competencies : Six years of longitudinal evidence. Scientific Studies of Reading. 22(6), pp. 485-502. https://doi.org/10.1080/10888438.2018.1482901Teaching secondary school mathematics : Research and practice for the 21st century
Goos, Merrilyn, Vale, Colleen, Stillman, Gloria, Makar, Katie, Herbert, Sandra and Geiger, Vincent. (2017). Teaching secondary school mathematics : Research and practice for the 21st century Allen & Unwin.An interdisciplinary approach to mathematical modeling in secondary schooleducation
Geiger, Vince and Mulligan, Joanne. (2017). An interdisciplinary approach to mathematical modeling in secondary schooleducation. 41st Conference of the International Group for the Psychology of Mathematics Education. Singapore, Singapore: International Group for the Psychology of Mathematics. pp. 337-344Research engagement and impact in mathematics education
Goos, Merrilyn, Geiger, Vincent Stephen, Bennison, Anne, Dole, Shelley and Forgasz, Helen. (2017). Research engagement and impact in mathematics education. 40th annual conference of the Mathematics Education Research Group of Australasia. Australian Synchotron, Clayton, Victoria, Australia 02 - 06 Jul 2017 Adelaide, SA: Mathematics Education Research Group of Australasia. pp. 633Review of the PIAAC numeracy assessment framework : Final report
Tout, Dave, Coben, Diana, Geiger, Vince, Ginsburg, Lynda, Hoogland, Kees, Maguire, Terry, Thomson, Sue and Turner, Ross. (2017). Review of the PIAAC numeracy assessment framework : Final report Australia: Australian Council for Educational Research.A case study of effective practice in mathematics teaching and learning informed by Valsiner's zone theory
Geiger, Vince, Anderson, Judy, Anderson, Judy and Hurrell, Derek. (2017). A case study of effective practice in mathematics teaching and learning informed by Valsiner's zone theory. Mathematics Education Research Journal. 29(2), pp. 143 - 161. https://doi.org/10.1007/s13394-017-0191-9Exploring the notion of mathematical literacy in curricula documents
Frejd, Peter and Geiger, Vince. (2017). Exploring the notion of mathematical literacy in curricula documents. In In G.A. Stillman, W. Blum and G. Kaiser (Ed.). Mathematical Modelling and Applications: Crossing and Researching Boundaries in Mathematics Education pp. 255 - 263 Springer International Publishing. https://doi.org/10.1007/978-3-319-62968-1Context and understanding: the case of linear models
Brown, Jill. (2017). Context and understanding: the case of linear models. In In G. A. Stillman, W. Blum and G. Kaiser (Ed.). Mathematical Modelling and Applications: Crossing and Researching Boundaries in Mathematics Education pp. 211 - 221 Springer International Publishing. https://doi.org/10.1007/978-3-319-62968-1Crossing boundaries in mathematical modelling and applications educational research and practice
Stillman, Gloria, Blum, Werner and Kaiser, Gabriele. (2017). Crossing boundaries in mathematical modelling and applications educational research and practice. In In G. A. Stillman, W. Blum and G. Kaiser (Ed.). Mathematical Modelling and Applications: Crossing and Researching Boundaries in Mathematics Education pp. 1 - 22 Springer International Publishing. https://doi.org/10.1007/978-3-319-62968-1Enabling anticipation through visualisation in mathematising real-world problems in a flipped classroom
Stillman, Gloria. (2017). Enabling anticipation through visualisation in mathematising real-world problems in a flipped classroom. In In G. A. Stilman, W. Blum and G. Kasier (Ed.). Mathematical Modelling and Applications: Crossing and Researching Boundaries in Mathematics Education pp. 163 - 173 Springer International Publishing. https://doi.org/10.1007/978-3-319-62968-1Opening real science: evaluation of an online module on statistical literacy for pre-service primary teachers
Bilgin, Ayse A.B., Date-Huxtable, Elizabeth, Coady, Carmel, Geiger, Vince, Cavanagh, Michael, Mulligan, Joanne and Petocz, Peter. (2017). Opening real science: evaluation of an online module on statistical literacy for pre-service primary teachers. Statistics Education Research Journal. 16(1), pp. 120 - 138.On the challenges of multi-linguisme in mathematics education research
Geiger, Vince, Margolinas, Claire and Sträßer, Rudolf. (2017). On the challenges of multi-linguisme in mathematics education research. For the Learning of Mathematics: an international journal of mathematics education. 37(2), pp. 16 - 18.Developing the roots of modelling conceptions: 'mathematical modelling is the life of the world'
Brown, Jill and Stillman, Gloria. (2017). Developing the roots of modelling conceptions: 'mathematical modelling is the life of the world'. International Journal of Mathematical Education in Science and Technology. 48(3), pp. 353 - 373. https://doi.org/10.1080/0020739X.2016.1245875Teachers' perspectives of changes in their practice during a technology in mathematics education research project
Brown, Jill. (2017). Teachers' perspectives of changes in their practice during a technology in mathematics education research project. Teaching and Teacher Education. 64, pp. 52 - 65. https://doi.org/10.1016/j.tate.2017.01.022The primacy of 'noticing': a key to successful modelling
Galbraith, Peter, Stillman, Gloria and Brown, Jill. (2017). The primacy of 'noticing': a key to successful modelling. In In G. A. Stillman, W. Blum and G. Kaiser (Ed.). Mathematical Modelling and Applications: Crossing and Researching Boundaries in Mathematics Education pp. 83 - 94 Springer International Publishing. https://doi.org/10.1007/978-3-319-62968-1