Teaching roles in technology-rich teaching and learning environments (TRTLE's)

Conference item

Brown, Jill. (2013). Teaching roles in technology-rich teaching and learning environments (TRTLE's). In V. Steinle, L. Ball and C. Bardini (Ed.). Mathematics Education: Yesterday, Today and Tomorrow (MERGA36). Australia: Mathematics Education Research Group of Australasia. pp. 106 - 113
AuthorsBrown, Jill
Abstract

This paper reports part of a study of secondary mathematics teachers in Technology-Rich Teaching and Learning Environment (TRTLE's). Three TRTLE's, two year 11 and one year nine class and their teachers were the focus of the study. Seven Teaching Roles were identified as teachers acted to allow students to perceive and enact affordances of TRTLE's appropriate to the learning of functions. Each role is important in allowing future independent perception and enactment of affordances by students.

Year2013
PublisherMathematics Education Research Group of Australasia
Web address (URL)http://www.merga.net.au/documents/Brown_MERGA36-2013.pdf
Open accessOpen access
Publisher's version
Journal citation1, pp. 106 - 113
Page range106 - 113
ISBN9780734048448
Research GroupSchool of Education
Place of publicationAustralia
EditorsV. Steinle, L. Ball and C. Bardini
Permalink -

https://acuresearchbank.acu.edu.au/item/85q66/teaching-roles-in-technology-rich-teaching-and-learning-environments-trtle-s

Log in to edit

Download files

Publisher's version
Brown_2013_Teaching_roles_in_technology_rich_teaching.pdf

  • 108
    total views
  • 40
    total downloads
  • 2
    views this month
  • 1
    downloads this month
These values are for the period from 19th October 2020, when this repository was created.

Export as

Related outputs

Yes, 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/s11858-020-01183-5
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/10.1007/978-3-658-20325-2
Using 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/s13394-017-0217-3
Verification 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 - 257
Context 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/10.1007/978-3-319-62968-1
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.2016.1245875
Teachers' 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.2017.01.022
The 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
Research into mathematical applications and modelling
Stillman, Gloria Ann, Brown, Jill Patricia, Galbraith, Peter and Ng, Kit Ee Dawn. (2016). Research into mathematical applications and modelling. In In K. Makar, S. Dole and J. Visnovska, M. Goos, A. Bennison & K. Fry (Ed.). Research in mathematics education in Australasia 2012-2015 pp. 281 - 304 Springer Science and Business Media. https://doi.org/10.1007/978-981-10-1419-2_14
Visualisation tactics for solving real world tasks
Brown, Jill. (2015). Visualisation tactics for solving real world tasks. In In G.A. Stillman, W. Blum and M.S. Biembengut (Ed.). pp. 431 - 442 Springer.
Facilitating mathematisation in modelling by beginning modellers in secondary school
Stillman, Gloria, Brown, Jill and Geiger, Vince. (2015). Facilitating mathematisation in modelling by beginning modellers in secondary school. In In G. A. Stillman, W. Blum and M. S. Biembengut (Ed.). Mathematical modelling in education research and practice: Cultural, social and cognitive influences pp. 93 - 104 Springer. https://doi.org/10.1007/978-3-319-18272-8_7
Complexities of digital technology use and the teaching and learning of function
Brown, Jill. (2015). Complexities of digital technology use and the teaching and learning of function. Computers and Education. 87, pp. 112 - 122. https://doi.org/10.1016/j.compedu.2015.03.022
Mathematical applications and modelling in the teaching and learning of mathematics
Brown, Jill and Ikeda, Toshikazu. (2015). Mathematical applications and modelling in the teaching and learning of mathematics. In In S.J. Cho (Ed.). Proceedings of the 12th International Congress on Mathematical Education: Intellectual and Attitudinal Challanges pp. 469 - 474 Springer. https://doi.org/10.1007/978-3-319-12688-3
Student strategies in enacting affordances
Brown, Jill P.. (2014). Student strategies in enacting affordances. In P Liljedahl, S Oesterle and C Nicol (Ed.). Proceedings of the 38th Conference of the International Group for the Psychology of Mathematics Education and the 36th Conference of the North American Chapter of the Psychology of Mathematics Education. Canada: International Group for the Psychology of Mathematics Education. pp. 201 - 208
Affordances: Ten Years On
Brown, Jill and Stillman, Gloria. (2014). Affordances: Ten Years On. In J Anderson, M Cavanagh and A Prescott (Ed.). Curriculum in focus: Research guided practice (Proceedings of the 37th annual conference of the Mathematics Education Research Group of Australasia). Australia: Mathematics Education Research Group of Australasia. pp. 111 - 118
Evidence of implemented anticipation in mathematising by beginning modellers
Stillman, Gloria and Brown, Jill. (2014). Evidence of implemented anticipation in mathematising by beginning modellers. Mathematics Education Research Journal. 26(4), pp. 763 - 789. https://doi.org/10.1007/s13394-014-0119-6
Mathematical modelling: Connecting to teaching and research practices - the impact of globalisation
Stillman, Gloria, Kaiser, Gabriele, Blum, Werner and Brown, Jill P.. (2013). Mathematical modelling: Connecting to teaching and research practices - the impact of globalisation. In In GA Stillman, G Kaiser and W Blum & JP Brown (Ed.). Teaching mathematical modelling: connecting to research and practice pp. 1 - 24 Springer. https://doi.org/10.1007/978-94-007-6540-5_1
Challenges in modelling challenges: Intents and purposes
Stillman, Gloria, Brown, Jill P. and Galbraith, Peter. (2013). Challenges in modelling challenges: Intents and purposes. In In GA Stillman, G Kaiser and W Blum & JP Brown (Ed.). Teaching mathematical modelling: connecting to research and practice pp. 217 - 227 Springer. https://doi.org/10.1007/978-94-007-6540-5_19
The role of textbooks in developing a socio-critical perspective on mathematical modelling in secondary classrooms
Stillman, Gloria, Brown, Jill P., Faragher, Rhonda Muriel, Geiger, Vince and Galbraith, Peter. (2013). The role of textbooks in developing a socio-critical perspective on mathematical modelling in secondary classrooms. In In GA Stillman, G Kaiser and W Blum & JP Brown (Ed.). Teaching mathematical modelling: connecting to research and practice pp. 361 - 373 Springer. https://doi.org/10.1007/978-94-007-6540-5_30
Inducting year 6 students into a culture of mathematising as a practice
Brown, Jill P.. (2013). Inducting year 6 students into a culture of mathematising as a practice. In In G. A. Stillman, G. Kaiser and W. Blum & J. P. Brown (Ed.). Teaching mathematical modelling: connecting to research and practice pp. 295 - 306 Springer. https://doi.org/10.1007/978-94-007-6540-5_24
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
Empirical evidence for Niss' implemented anticipation in mathematising realistic situations
Stillman, Gloria and Brown, Jill P.. (2012). Empirical evidence for Niss' implemented anticipation in mathematising realistic situations. In J. Dindyal, L. P. Cheng and S. F. Ng (Ed.). Mathematics education: Expanding horizons. Melbourne, Australia: Mathematics Education Research Group of Australasia. pp. 682 - 689
Editorial: To engage or not to engage
Stillman, Gloria and Brown, Jill. (2012). Editorial: To engage or not to engage. Australian Senior Mathematics Journal. 26(1), pp. 1 - 5.
Editorial: Envisioning the future of the mathematical sciences and mathematics teaching
Brown, Jill and Stillman, Gloria. (2012). Editorial: Envisioning the future of the mathematical sciences and mathematics teaching. Australian Senior Mathematics Journal. 26(2), pp. 4 - 5.
Mathematical Modelling Challenge
Brown, Jill and Stillman, Gloria. (2011). Mathematical Modelling Challenge. Vinculum. 26(4), pp. 16 - 19.
Mathematical Modelling Challenge
Brown, Jill and Stillman, Gloria. (2011). Mathematical Modelling Challenge. Prime Number. 26(4), pp. 15 - 16.
Modelling tasks: insight into mathematical understanding
Brown, Jill P. and Edwards, Ian. (2011). Modelling tasks: insight into mathematical understanding. In In G. Kaiser, W. Blum and R. Borromeo Ferri & G.Stillman (Ed.). pp. 187 - 197 Springer. https://doi.org/10.1007/978-94-007-0910-2_20
Mathematical Modelling and Applications
Stillman, Gloria and Brown, Jill. (2011). Mathematical Modelling and Applications. Vinculum. 48(2), pp. 20 - 20.
'Get down and get dirty in the mathematics': Technology and mathematical modelling in senior secondary
Stillman, Gloria and Brown, Jill. (2011). 'Get down and get dirty in the mathematics': Technology and mathematical modelling in senior secondary. 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. 711 - 718
Editorial: To err is human
Brown, Jill and Stillman, Gloria. (2011). Editorial: To err is human. Australian Senior Mathematics Journal. 25(2), pp. 4 - 5.
Editorial: Historical sources and historical development of statistical ideas
Brown, Jill and Stillman, Gloria. (2011). Editorial: Historical sources and historical development of statistical ideas. Australian Senior Mathematics Journal. 25(1), pp. 4 - 6.
Pre-service secondary mathematics teachers' affinity with using modelling tasks in teaching years 8-10
Stillman, Gloria and Brown, Jill P.. (2011). Pre-service secondary mathematics teachers' affinity with using modelling tasks in teaching years 8-10. In In G. Kaiser, W. Blum and R. Borromeo Ferri & G.Stillman (Ed.). pp. 289 - 298 Springer. https://doi.org/10.1007/978-94-007-0910-2_29
Turning ideas into modeling problems
Galbraith, Peter L., Stillman, Gloria and Brown, Jill P.. (2010). Turning ideas into modeling problems. In pp. 133 - 144 Springer. https://doi.org/10.1007/978-1-4419-0561-1_11
Identifying challenges within transition phases of mathematical modeling activities at Year 9
Stillman, Gloria, Brown, Jill and Galbraith, Peter. (2010). Identifying challenges within transition phases of mathematical modeling activities at Year 9. In In R. Lesh, P. L. Galbraith and C. R. Haines & A. Hurford (Ed.). Modeling students' mathematical modeling competencies: ICTMA13 pp. 385 - 398 Springer.
Preservice secondary teachers' competencies in proof
Brown, Jill Patricia and Stillman, Gloria. (2009). Preservice secondary teachers' competencies in proof. In Fuo-Lai Lin, Feng-Jui Hsieh and Gila Hanna (Ed.). Proof and Proving in Mathematics Education: ICMI Study 19 Conference Proceedings. Taipei, Taiwan: National Taiwan Normal University. pp. 94 - 99
Concept Maps: Implications for the Teaching of Function for Secondary School Students
Brown, Jill Patricia. (2009). Concept Maps: Implications for the Teaching of Function for Secondary School Students. 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, NZ: Mathematics Education Research Group of Australasia. pp. 65 - 72
Research into the teaching and learning of applications and modelling in Australasia
Stillman, Gloria, Brown, Jill Patricia and Galbraith, Peter. (2008). Research into the teaching and learning of applications and modelling in Australasia. In Research in Mathematics Education in Australasia 2004-2007 pp. 141 - 164 Sense Publishers.
Competencies in argumentation and proof :A comparative study of future mathematics teachers from Australia, Germany and Hong Kong
Schwarz, Bjorn, Vale, Colleen, Brown, Jill Patricia, Stillman, Gloria, Kaiser, Gabriele, Buchholtz, Nils and Leung, Issic. (2008). Competencies in argumentation and proof :A comparative study of future mathematics teachers from Australia, Germany and Hong Kong. In Gabriele Kaiser (Ed.). Discussion Group 14: International Comparisons in Mathematics Education. Monterrey, Mexico: International Commission on Mathematical Instruction. pp. 1 - 6
Future teachers' professional knowledge on argumentation and proof: A case study from universities in three countries
Schwarz, Bjorn, Leung, Issic K. C., Bucholtz, Nils, Kaiser, Gabriele, Stillman, Gloria, Brown, Jill Patricia and Vale, Colleen. (2008). Future teachers' professional knowledge on argumentation and proof: A case study from universities in three countries. ZDM. 40(5), pp. 791 - 811. https://doi.org/10.1007/s11858-008-0150-8
The case of mathematical proof in lower secondary school :Knowledge and competencies of pre-service teachers
Brown, Jill Patricia, Stillman, Gloria, Schwarz, Bjorn and Kaiser, Gabriele. (2008). The case of mathematical proof in lower secondary school :Knowledge and competencies of pre-service teachers. In Merrilyn Goos, Ray Brown and Katie 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. 85 - 91
Early notions of functions in a technology-rich teaching and learning environment (TRTLE)
Brown, Jill Patricia. (2007). Early notions of functions in a technology-rich teaching and learning environment (TRTLE). 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. 153 - 162
A framework for success in implementing mathematical modelling in the secondary classroom
Stillman, Gloria, Brown, Jill Patricia, Edwards, I. and Galbraith, Peter. (2007). A framework for success in implementing mathematical modelling in the secondary classroom. 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. 688 - 707
Challenges in formulating an extended modelling task at Year 9
Stillman, Gloria and Brown, Jill Patricia. (2007). Challenges in formulating an extended modelling task at Year 9. In H. Reeves, K. Milton and T. Spencer (Ed.). Mathematics: Essential for learning, essential for life Proceedings of the 21st Biennial Conference of the Australian Association of Mathematics Teachers Inc.. Adelaide, Australia: Australian Association of Mathematics Teachers. pp. 224 - 231
Identifying challenges within transition phases of mathematical modelling activity at Year 9
Stillman, Gloria, Brown, Jill and Galbraith, Peter. (2007). Identifying challenges within transition phases of mathematical modelling activity at Year 9. Conference Proceedings Of the Thirteenth International Conference on the Teaching of Mathematical Modelling and Applications. International Conference on the Teaching of Mathematical Modelling and Applications. pp. 1 - 10
Facilitating middle secondary modelling competencies
Galbraith, Peter, Stillman, Gloria, Brown, Jill Patricia and Edwards, I. (2007). Facilitating middle secondary modelling competencies. In In C. Haines, P. Galbraith and W. Blum et al. (Ed.). Mathematical modelling (ICTMA12): Education, engineering and economics pp. 130 - 140 Horwood Press.
Looking through zones at the teacher's role in technology-rich teaching and learning environments (TRTLE's)
Brown, Jill Patricia. (2006). Looking through zones at the teacher's role in technology-rich teaching and learning environments (TRTLE's). In C. Hoyles, J-b. Lagrange and L. H. Son (Ed.). Digital technologies and mathematics teaching and learning: Rethinking the terrain, Proceedings of the seventeenth ICMI Study: 'Technology revisited'. Hanoi, Vietnam: International Commission on Mathematical Instruction. pp. 56 - 65
Manifestations of affordances of a technology-rich teaching and learning environment (TRTLE)
Brown, Jill Patricia. (2006). Manifestations of affordances of a technology-rich teaching and learning environment (TRTLE). In J. Novotna, H. Moraova and M. Kratke (Ed.). Proceedings of the 30th annual conference of the International Group for the Psychology of Mathematics Education (PME),. Prague, Czech Republic: International Group for the Psychology of Mathemati.... pp. 241 - 248
Defining moments in the graphing calculator solution of a cubic function task
Brown, Jill and Stillman, Gloria. (2006). Defining moments in the graphing calculator solution of a cubic function task. Nordisk Matematikkdidaktikk (Nordic Studies in Mathematics). 11(3), pp. 57 - 84.
Identifying key transition activities for enhanced engagement in mathematical modelling
Galbraith, Peter, Stillman, Gloria Ann and Brown, Jill Patricia. (2006). Identifying key transition activities for enhanced engagement in mathematical modelling. In P.Grootenboer, R. Zevenbergen and M. Chinnappan (Ed.). Identities, cultures and learning spaces, Proceedings of the Twenty Ninth annual conference of the Mathematics Education Research Group of Australasia (MERGA). Adelaide, Australia: Mathematics Education Research Group of Australasia. pp. 237 - 245
Affordances of a technology-rich teaching and learning environment
Brown, Jill Patricia. (2005). Affordances of a technology-rich teaching and learning environment. In P. Clarkson, A. Downton and D. Gronn (Ed.). Building Connections, Theory, Research and Practice: Proceedings of the 28th Annual Conference of the Mathematics Education Research Group of Australasia. Adelaide, Australia: Mathematics Education Research Group of Australasia. pp. 177 - 184
Identification of affordances of a technology-rich teaching and learning environment (TRTLE)
Brown, Jill Patricia. (2005). Identification of affordances of a technology-rich teaching and learning environment (TRTLE). In H. Chick and J. Vincent (Ed.). Proceedings of the 29th annual conference of the International Group for the Psychology of Mathematics Education (PME). Melbourne, Australia: International Group for the Psychology of Mathemati.... pp. 185 - 192
Enabling teachers to perceive the affordances of a technologically rich learning environment for linear functions in order to design units of work incorporating best practice
Brown, Jill Patricia. (2004). Enabling teachers to perceive the affordances of a technologically rich learning environment for linear functions in order to design units of work incorporating best practice. In W. C. Yang, S. C. Chu and T. de Alwis (Ed.). Proceedings of the 9th Asian Technology Conference in Mathematics. Singapore, Singapore: Advanced Technology Council in Mathematics Inc. pp. 242 - 251
A difficult function
Brown, Jill. (2004). A difficult function. Australian Mathematics Teacher. 60(2), pp. 6 - 11.
Teacher approaches to graphing a difficult cubic function
Brown, Jill Patricia. (2004). Teacher approaches to graphing a difficult cubic function. In I. Putt, R. Faragher and M. 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: Mathematics Education Research Group of Australasia. pp. 111 - 118
Can the notion of affordances be of use in the design of a technology enriched mathematics curriculum?
Stillman, Gloria, Brown, Jill Patricia and Herberts, Sandra. (2004). Can the notion of affordances be of use in the design of a technology enriched mathematics curriculum? In I. Putt, R. Faragher and M. 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: Mathematics Education Research Group of Australasia. pp. 119 - 126
Defining moments in determining a complete graph in a graphing calculator teaching and learning environment
Brown, Jill Patricia. (2003). Defining moments in determining a complete graph in a graphing calculator teaching and learning environment. In L. Bragg, C. Campbell and G. Herbert (Ed.). Mathematics Education Research: Innovation, networking, opportunity. Proceedings of the 26th annual conference of the Mathematics Education Research Group of Australasia (MERGA). Geelong, Australia: Mathematics Education Research Group of Australasia. pp. 168 - 175