Abstract
In this chapter, we address the interplay between collective and individual aspects of teacher design in collaborative settings in the light of the new opportunities that digital resources (DRs) offer. Taking into account the growing research interest into the collective dimension of teachers’ design-work, our aim is to answer what are the forms, conditions, and products of teachers’ collective design-work with DRs as well as what and how the individual teacher learns by participating in collaborative work with DRs. We also aim to answer what theoretical and analytical perspectives are used by researchers to study teachers’ collective design-work with DRs. To answer these questions, we conducted a systematic literature study leading finally to 36 peer-reviewed publications. Our first thematic analysis resulted in two main themes (the process of teacher collaboration, the impact of teacher collaboration on teacher professional learning) and corresponding subthemes. The next step of our analysis focused on: the context, the product, the purpose, and the processes of the design-work; the theoretical and methodological approaches by which it was studied; and the main findings. The final synthesis indicates that (a) teachers’ collaborative design-work has usually positive learning outcomes for individual teachers, (b) the role of DRs in the collaboration depends on their affordances, and (c) the collective-individual interplay has been studied mainly by a focus on the effects of the collaboration on the individual teacher and not the other way around. Areas of further research are also discussed.
References
Adler J (2000) Conceptualising resources as a theme for teacher education. J Math Teach Educ 3:205–224
Akkerman S, Bakker A (2011) Boundary crossing and boundary objects. Rev Educ Res 81(2):132–169. https://doi.org/10.3102/0034654311404435
Alqahtani MM, Powell AB (2017) Teachers’ instrumental genesis and their geometrical understanding in a dynamic geometry environment. Digit Exp Mat Educ 3:9–38. https://doi.org/10.1007/s40751-016-0025-5
Anderson RK (2020) Social media facilitated collaboration: an analysis of in-the-moment support in a mathematics education Facebook group. In: Borko H, Potari D (eds) Proceedings of the twenty fifth ICMI study on teachers of mathematics learning and working in collaborative groups. University of Lisbon, pp 581–588
Arzarello F, Robutti O, Sabena C, Cusi A, Garuti R, Malara N, Martignone F (2014) Meta-didactical transposition: a theoretical model for teacher education programmes. In: Clark-Wilson A, Robutti O, Sinclair N (eds) The mathematics teacher in the digital era: an international perspective on technology focused professional development. Springer, Dordrecht, pp 347–372. https://doi.org/10.1007/978-94-007-4638-1_15
Bakogianni D, Potari D (2019) Re-sourcing secondary mathematics teachers’ teaching of statistics in the context of a community of practice. J Math Behav 56:100699. https://doi.org/10.1016/j.jmathb.2019.03.006
Borba MC, de Souza Chiani AS, de Almida HRFL (2018) Interactions in virtual learning environments: new roles for digital technology. Educ Stud Math 98(3):269–286. https://doi.org/10.1007/s10649-018-9812-9
Borko H, Potari D (2020) Teachers of mathematics learning and working in collaborative groups. Proceedings of the twenty-fifth ICMI study. University of Lisbon. ISBN: 978-960-466-216-6
Brown MW (2009) The teacher-tool relationship: theorizing the design and use of curriculum materials. In: Remillard JT, Herbel-Eisenmann BA, Lloyd GM (eds) Mathematics teachers at work: connecting curriculum materials and classroom instruction. Routledge, pp 17–36
Chen G, Chan CKK, Chan KKH, Clarke SN, Resnick LB (2020) Efficacy of video-based teacher professional development for increasing classroom discourse and student learning. J Learn Sci 29(4–5):642–680. https://doi.org/10.1080/10508406.2020.1783269
Chevallard Y (1999) L’analyse des pratiques enseignantes en théorie anthropologique du didactique. Recherches en Didactique des Mathématiques 19(2):221–266
Chieu VM, Herbst P, Weiss M (2011) Effect of an animated classroom story embedded in online discussion on helping mathematics teachers learn to notice. J Learn Sci 20(4):589–624. https://doi.org/10.1080/10508406.2011.528324
Clark-Wilson A, Hoyles C (2019) From curriculum design to enactment in technology enhanced mathematics instruction – mind the gap! Int J Educ Res 94:66–76. https://doi.org/10.1016/j.ijer.2018.11.015
Cooper J, Olsher S, Yerushalmy M (2020) Didactic metadata informing teachers’ selection of learning resources: boundary crossing in professional development. J Math Teach Educ 23(4):363–384. https://doi.org/10.1007/s10857-019-09428-1
Cusi A, Swidan O, Faggiano E, Prodromou T (2020) The collaborative work on scenario design as a tool to foster teachers’ professional development. In: Borko H, Potari D (eds) Proceedings of the twenty-fifth ICMI study on teachers of mathematics learning and working in collaborative groups. University of Lisbon, pp 605–612
Dalby D (2021) Professional learning through collaborative research in mathematics. Prof Dev Educ 47(4):710–724. https://doi.org/10.1080/19415257.2019.1665571
Elbaum-Cohen A, Tabach M (2020) Possible path from teachers’ collaboration towards teachers’ change in practice. In: Borko H, Potari D (eds) Proceedings of the twenty fifth ICMI study on teachers of mathematics learning and working in collaborative groups. University of Lisbon, pp 118–125
Engeström Y (2014) Learning by expanding. Cambridge University Press, Cambridge. https://doi.org/10.1017/CBO9781139814744
Fleck L (1981) Genesis and development of a scientific fact. University of Chicago Press, Chicago. (original edition, 1934)
Goos M (2005) A sociocultural analysis of learning to teach. In: Chick H, Vincent J (eds) Proceeding of the 29th conference of the international group for the psychology of mathematics education, vol 3. University of Melbourne, Melbourne, pp 49–56
Gueudet G, Trouche L (2012) Communities, documents and professional geneses: interrelated stories. In: Gueudet G, Pepin B, Trouche L (eds) From text to ‘lived’ resources. Mathematics curriculum materials and teacher development. Springer, pp 305–322. https://doi.org/10.1007/978-94-007-1966-8_16
Gueudet G, Pepin B, Trouche L (2012) From text to ‘lived’ resources: mathematics curriculum material and teacher development. Springer, New York. https://doi.org/10.1007/978-94-007-1966-8
Gueudet G, Pepin B, Trouche L (2013) Collective work with resources: an essential dimension for teacher documentation. ZDM 45(7):1003–1016. https://doi.org/10.1007/s11858-013-0527-1
Gueudet G, Pepin B, Sabra H, Trouche L (2016) Collective design of an e-textbook: teachers’ collective documentation. J Math Teach Educ 19(2–3):187–203. https://doi.org/10.1007/s10857-015-9331-x
Guin D, Ruthven K, Trouche L (2005) The didactical challenge of symbolic calculators turning a computational device into a mathematical instrument. Springer, New York. https://doi.org/10.1007/b101602
Gulay B, Ruthven K (2015) Expert and novice teachers’ classroom practices in a technological environment. In: Krainer K, Vondrová N (eds) Proceedings of the ninth congress of the European society for research in mathematics education, Prague, pp 2319–2325
Hansen A, Mavrikis M, Geraniou E (2016) Supporting teachers’ technological pedagogical content knowledge of fractions through co-designing a virtual manipulative. J Math Teach Educ 19(2–3):205–226. https://doi.org/10.1007/s10857-016-9344-0
Hodges TE, Cady J (2013) Blended-format professional development and the emergence of communities of practice. Math Educ Res J 25:299–316. https://doi.org/10.1007/s13394-012-0065-0
Hollebrands KF, Lee HS (2020) Effective design of massive open online courses for mathematics teachers to support their professional learning. ZDM 52(5):859–875. https://doi.org/10.1007/s11858-020-01142-0
Huang R, Helgevold N, Lang J (2021) Digital technologies, online learning and lesson study. Int J Lesson Learn Stud 10(2):105–117. https://doi.org/10.1108/IJLLS-03-2021-0018
Johnson R, Severance S, Penuel WR, Leary H (2016) Teachers, tasks, and tensions: lessons from a research–practice partnership. J Math Teach Educ 19(2):169–185. https://doi.org/10.1007/s10857-015-9338-3
Matranga A, Silverman J (2022) An emerging community in online mathematics teacher professional development: an interactional perspective. J Math Teach Educ 25(1):63–89. https://doi.org/10.1007/s10857-020-09480-2
Misfeldt M, Zacho L (2016) Supporting primary-level mathematics teachers’ collaboration in designing and using technology-based scenarios. J Math Teach Educ 19(2):227–241. https://doi.org/10.1007/s10857-015-9336-5
Mishra P, Koehler MJ (2006) Technological pedagogical content knowledge: a new framework for teacher knowledge. Teach Coll Rec 108(6):1017–1054. https://doi.org/10.1111/j.1467-9620.2006.00684.x
Patahuddin SM (2013) Mathematics teacher professional development in and through internet use: reflections on an ethnographic study. Math Educ Res J 25(4):503–521. https://doi.org/10.1007/s13394-013-0084-5
Penteado MG, Skovsmose O (2009) How to drag with a worn-out mouse? Searching for social justice through collaboration. J Math Teach Educ 12(3):217–230. https://doi.org/10.1007/s10857-009-9103-6
Pepin B, Gueudet G (2020) Studying teacher collaboration with the documentational approach: from shared resources to common schemes? In: Borko H, Potari D (eds) Proceedings of the twenty fifth ICMI study on teachers of mathematics learning and working in collaborative groups. University of Lisbon, pp 158–165
Pepin B, Gueudet G, Trouche L (2016) Mathematics teachers’ interaction with digital curriculum resources: opportunities to develop teachers’ mathematics-didactical design capacity. AERA annual meeting, Apr 2016, Washington, DC. https://hal.archives-ouvertes.fr/hal-01312306
Pepin B, Choppin J, Ruthven K, Sinclair N (2017a) Digital curriculum resources in mathematics education: foundations for change. ZDM 49(5):645–661. https://doi.org/10.1007/s11858-017-0879-z
Pepin B, Gueudet G, Trouche L (2017b) Refining teacher design capacity: mathematics teachers’ interactions with digital curriculum resources. ZDM 49(5):799–812. https://doi.org/10.1007/s11858-017-0870-8
Pepin B, Xu B, Trouche L, Wang C (2017c) Developing a deeper understanding of mathematics teaching expertise: an examination of three Chinese mathematics teachers’ resource systems as windows into their work and expertise. Educ Stud Math 94(3):257–274. https://doi.org/10.1007/s10649-016-9727-2
Pepin B, Artigue M, Gitirana V, Miyakawa T, Ruthven K, Xu B (2019) Mathematics teachers as curriculum designers: an international perspective to develop a deeper understanding of the concept. In: Trouche L, Gueudet G, Pepin B (eds) The ‘resource’ approach to mathematics education. Advances in mathematics education. Springer, Cham, pp 121–143. https://doi.org/10.1007/978-3-030-20393-1_6
Resnick LB, Michaels S, O’Connor MC (2010) How (well structured) talk builds the mind. In: Preiss D, Sternberg R (eds) Innovations in educational psychology. Springer, pp 163–194
Robutti O, Prodromou T, Aldon G (2021) Teachers’ involvement in designing MERLO items: boundary crossing. Digit Exp Mat Educ 7:276–300. https://doi.org/10.1007/s40751-020-00081-5
Rocha KM (2018) Uses of online resources and documentational trajectories: the case of Sésamath. In: Fan L, Trouche L, Qi C, Rezat S, Visnovska J (eds) Research on mathematics textbooks and teachers’ resources, ICME-13 Monographs. Springer, Cham, pp 235–258. https://doi.org/10.1007/978-3-319-73253-4_11
Rocha K (2019) Documentational trajectory as a means for understanding teachers’ interactions with resources over time: the case of a French mathematics teacher. In: Trouche L, Gueudet G, Pepin B (eds) The ‘resource’ approach to mathematics education. Springer, Cham, pp 268–280. https://doi.org/10.1007/978-3-030-20393-1_10
Rocha KM, Trouche L (2017) Documentational trajectory: a tool for analyzing the genesis of a teacher’s resource system across her collective work. In: Dooley T, Gueudet G (eds) Proceedings of the tenth congress of the European society for research in mathematics education (CERME 10). DCU Institute of Education and ERME, Dublin, pp 3732–3739
Rocha K, Wang C, Trouche L (2017) Documentation expertise and its development with documentation experience in collectives: a French case of collective lesson preparation on algorithmic. In: Aldon G, Trgalova J (eds) Proceedings of the 13th international conference on technology in mathematics teaching. ENS de Lyon, pp 285–292. https://hal.archives-ouvertes.fr/hal-01632970
Schoenfeld AH, Kilpatrick J (2008) Toward a theory of proficiency in teaching mathematics. In: Wood T, Tirosh D (eds) International handbook of mathematics teacher education, Tools and processes in mathematics teacher education, vol 2. Sense Publishers, Rotterdam, pp 321–354
Segal R, Shriki A, Movshovitz-Hadar N (2020) RAMZOR – A digital environment that constitutes opportunities for mathematics teachers collaboration. In: Borko H, Potari D (eds) Proceedings of the twenty fifth ICMI study on teachers of mathematics learning and working in collaborative groups. University of Lisbon, pp 692–699
Sfard A (2008) Thinking as communicating: Human development, the growth of discourses, and mathematizing. Cambridge University Press, Cambridge. https://doi.org/10.1017/CBO9780511499944
Sinclair N, Chorney S, Güneş C, Bakos S (2020) Disruptions in meanings: teachers’ experiences of multiplication in TouchTimes. ZDM 52(7):1471–1482. https://doi.org/10.1007/s11858-020-01163-9
Suh J, Gallagher MA, Capen L, Birkhead S (2021) Enhancing teachers’ noticing around mathematics teaching practices through video-based lesson study with peer coaching. Int J Lesson Learn Stud 10(2):150–167. https://doi.org/10.1108/IJLLS-09-2020-0073
Taranto E, Robutti O, Arzarello F (2020) Learning within MOOCs for mathematics teacher education. ZDM 52(7):1439–1453. https://doi.org/10.1007/s11858-020-01178-2
Tatar D (2007) The design tensions framework. Hum-Comput Interac 22(4):413–451. https://doi.org/10.1080/07370020701638814
Trouche L, Gitirana V, Miyakawa T, Pepin B, Wang C (2019a) Studying mathematics teachers’ interactions with curriculum materials through different lenses: towards a deeper understanding of the processes at stake. Int J Educ Res 93:53–67. https://doi.org/10.1016/j.ijer.2018.09.002
Trouche L, Gueudet G, Pepin B (eds) (2019b) The ‘Resource’ approach to mathematics education. Springer, New York. https://doi.org/10.1007/978-3-030-20393-1
Trouche L, Rocha K, Gueudet G, Pepin B (2020) Transition to digital resources as a critical process in teachers’ trajectories: the case of Anna’s documentation work. ZDM 52(7):1243–1257. https://doi.org/10.1007/s11858-020-01164-8
Wang C (2018) Mathematics teachers’ expertise in resources work and its development in collectives: a French and a Chinese cases. In: Fan L et al (eds) Research on mathematics textbooks and teachers’ resources, ICME-13 monographs. https://doi.org/10.1007/978-3-319-73253-4_9
Wenger E (1998) Communities of practice. Learning, meaning, identity. Cambridge University Press, New York. https://doi.org/10.1017/CBO9780511803932
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Psycharis, G., Potari, D., Skott, C.K. (2023). Addressing Collective and Individual Aspects of Teacher Design with Digital Resources in Collaborative Settings. In: Pepin, B., Gueudet, G., Choppin, J. (eds) Handbook of Digital Resources in Mathematics Education. Springer International Handbooks of Education. Springer, Cham. https://doi.org/10.1007/978-3-030-95060-6_42-1
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