Designing for mathematical applications and modelling tasks in technology rich environments
Book chapter
Geiger, Vince. (2016). Designing for mathematical applications and modelling tasks in technology rich environments. In In A. Leung and A. Baccaglini-Frank (Ed.). Digital technologies in designing mathematics education tasks pp. 285 - 301 Springer International Publishing. https://doi.org/10.1007/978-3-319-43423-0_14
| Authors | Geiger, Vince |
|---|---|
| Editors | A. Leung and A. Baccaglini-Frank |
| Abstract | Mathematical modelling and applications is a well-established field within mathematics education. Research in mathematical modelling and applications has maintained a focus on how to enhance students’ capabilities in using mathematics learnt in school to solve problems identified in, or derived from, the real world. While significant progress has been made in understanding the processes that underpin the successful applications of mathematics in real world contexts, there has been limited research into how to design tasks that are authentic reflections of the role of digital technologies in solving problems situated in the work place or daily life. This chapter draws on data sourced from a research and development project that investigated the use of digital technologies in teaching and learning mathematical modelling and applications to identify principles of effective task design. The instantiation of these principles within classroom practice is illustrated through a classroom vignette. This chapter concludes with a reflection on the research needed to further develop understanding of the role of technology as an enabler of principles of design for mathematical modelling tasks. |
| Page range | 285 - 301 |
| Year | 2016 |
| Book title | Digital technologies in designing mathematics education tasks |
| Publisher | Springer International Publishing |
| Place of publication | Switzerland |
| ISBN | 9783319434230 |
| Digital Object Identifier (DOI) | https://doi.org/10.1007/978-3-319-43423-0_14 |
| Research Group | Institute for Learning Sciences and Teacher Education (ILSTE) |
| Publisher's version | File Access Level Controlled |
Permalink -
https://acuresearchbank.acu.edu.au/item/86104/designing-for-mathematical-applications-and-modelling-tasks-in-technology-rich-environments
Restricted files
Publisher's version
(1 files)
178
total views0
total downloads3
views this month0
downloads this month
Export as
Related outputs
The need for a critical orientation to mathematical modelling times of disruption
Geiger, Vincent Stephen. (2024). The need for a critical orientation to mathematical modelling times of disruption. In Researching Mathematical Modelling Education in Disruptive Times pp. 15 - 24 Springer International Publishing. https://doi.org/10.1007/978-3-031-53322-8_2A critical turn in numeracy education and practice
Geiger, Vincent Stephen and Schmid-Eugster, Mirjam. (2024). A critical turn in numeracy education and practice. Frontiers in Education. 9, pp. 1-12. https://doi.org/10.3389/feduc.2024.1363566Learning contexts and visions for STEM in schools
Jones, Mellita Mary, Geiger, Vincent Stephen, Falloon, Garry, Fraser, Sharon, Beswick, Kim, Holland-Twining, Benjamin and Hatisaru, Vesife. (2024). Learning contexts and visions for STEM in schools. International Journal of Science Education. pp. 1-21. https://doi.org/10.1080/09500693.2024.2323032The Role of Digital Technologies in Transforming Student Learning Landscapes
Rezat, Sebastian and Geiger, Vincent Stephen. (2023). The Role of Digital Technologies in Transforming Student Learning Landscapes. In In Pepin, Birgit, Gueudet, Ghislane and Choppin, Jeff (Ed.). Handbook of Digital Resources in Mathematics Education pp. 1 Springer Cham. https://doi.org/10.1007/978-3-030-95060-6_21-1The Role of Digital Resources in Mathematical Modelling in Extending Mathematical Capability
Siller, Han-Stefan, Geiger, Vincent Stephen and Greefrath, Gilbert. (2023). The Role of Digital Resources in Mathematical Modelling in Extending Mathematical Capability. In Handbook of Digital Resources in Mathematics Education pp. 1-24 Springer Nature. https://doi.org/10.1007/978-3-030-95060-6_18-1Enhancing Learner Communication and Collaboration Through Digital Resources : Affordances, Constraints, and Possibilities
Geiger, Vincent Stephen, Bennison, Anne and Abidin, Zaenal. (2023). Enhancing Learner Communication and Collaboration Through Digital Resources : Affordances, Constraints, and Possibilities. In Handbook of Digital Resources in Mathematics Education pp. 1-27 Springer International Publishing. https://doi.org/10.1007/978-3-030-95060-6_24-1The connections between citizenship education and mathematics education - Survey Paper
Geiger, Vince, Gal, Iddo and Graven, Mellony. (2023). The connections between citizenship education and mathematics education - Survey Paper. ZDM Mathematics Education. 55(5), pp. 923-940. https://doi.org/10.1007/s11858-023-01521-3Boys’ motivation profiles in mathematics : Relations with contextual factors, wellbeing and engagement in a boys-only school
Beswick, Kim, Watt, Helen M. G., Granziera, Helena, Geiger, Vince and Fraser, Sharon. (2023). Boys’ motivation profiles in mathematics : Relations with contextual factors, wellbeing and engagement in a boys-only school. ZDM Mathematics Education. 55(2), pp. 315-329. https://doi.org/10.1007/s11858-022-01464-1A model for principals' STEM leadership capability
Geiger, Vince, Beswick, Kim, Fraser, Sharon and Holland-Twining, Ben. (2023). A model for principals' STEM leadership capability. British Educational Research Journal. pp. 1-25. https://doi.org/10.1002/berj.3873A Typology for Instructional Enablers of Mathematical Modelling
Geiger, Vincent Stephen, Galbraith, Peter, Niss, Mogens and Holland-Twining, Benjamin. (2022). A Typology for Instructional Enablers of Mathematical Modelling. Proceedings of the 44th Annual Conference of the Mathematics Education Research Group of Australasia. University of Tasmania, Launceston. 2022 - 2023 Australia: Mathematics Education Research Group of Australasia. pp. 1-8A typology for instructional enablers of mathematical modelling
Geiger, Vince, Galbraith, Peter, Niss, Mogens and Holland-Twining, Ben. (2022). A typology for instructional enablers of mathematical modelling. 44th annual conference of the Mathematics Education Research Group of Australasia. Launceston, Tasmania, Australia 03 - 07 Jul 2022 Mathematics Education Research Group of Australasia (MERGA). pp. 226-233Supporting English non-dominant language authors’ efforts to publish : Perspectives from the editors-in-chief of highly recognised journals in mathematics education
Geiger, Vince, Delzoppo, Catherine and Straesser, Rudolf. (2022). Supporting English non-dominant language authors’ efforts to publish : Perspectives from the editors-in-chief of highly recognised journals in mathematics education. Educational Studies in Mathematics. 111(3), pp. 543-565. https://doi.org/10.1007/s10649-022-10174-0Welcome 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/s10649-022-10151-7Mathematical 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_11"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. 29-46How 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_4Numeracy 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. 1-8Numeracy 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.Generating 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-xUsing mathematics to solve real world problems : The role of enablers
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/s13394-017-0217-3Early 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, South Australia: Mathematics Education Research Group of Australasia (MERGA). 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/10.1007/978-3-319-62968-1Opening 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. 37(2), pp. 16 - 18.