Volume 15 · Number 1 · Pages 69–71
Problem Posing and Solving: Wayfarers Making their Way Along Problem Pathways

Victor V. Cifarelli

Download the full text in
PDF (126 kB)

> Citation > Similar > References > Add Comment

Abstract

Open peer commentary on the article “Problematizing: The Lived Journey of a Group of Students Doing Mathematics” by Robyn Gandell & Jean-François Maheux. Abstract: Gandell and Maheux present an interesting analysis of the problem posing (PP) and problem solving (PS) of a group of students playing a throwing game. The analysis builds on recent studies that explain how PP and PS co-evolve as students interpret and ultimately complete the tasks that we give them. I will make some preliminary comments on the researchers’ enactivist approach to studying PP and PS, draw some comparisons with constructivist approaches, and then comment on the analysis of the student work.

Handling Editor: Alexander Riegler (Vrije Universiteit Brussel)

Citation

Cifarelli V. V. (2019) Problem posing and solving: Wayfarers making their way along problem pathways. Constructivist Foundations 15(1): 69–71. https://constructivist.info/15/1/069

Export article citation data: Plain Text · BibTex · EndNote · Reference Manager (RIS)

References

Ärlebäck J. B. & Doerr H. M. (2015) Moving beyond a single modelling activity. In: Stillman G., Blum W. & Salett Biembengut M. (eds.) Mathematical modelling in education research and practice: International perspectives on the teaching and learning of mathematical modelling. Springer, New York: 293–303. ▸︎ Google︎ Scholar
Cifarelli V. V. & Cai J. (2005) The evolution of mathematical explorations in open-ended problem-solving situations. Journal of Mathematical Behavior 24(3–4): 302–324. ▸︎ Google︎ Scholar
Cifarelli V. V. & Sevim V. (2015) Problem posing as reformulation and sense-making within problem solving. In: Singer F. H., Ellerton N. F. & Cai J. (eds.) Mathematical problem posing: From research to effective practice. Springer, New York: 177–194. ▸︎ Google︎ Scholar
Cifarelli V. V. (2017) Dynamic connections between problem posing and problem solving: On the usefulness of multiple perspectives. Constructivist Foundations 13(1): 172–173 https://constructivist.info/13/1/172
Ingold T. (2009) Against space: Place, movement, knowledge. In: Kirby P. W. (ed.) Boundless worlds: An anthropological approach to movement. Berghahn Books, New York: 29–43. ▸︎ Google︎ Scholar
Lesh R. & Zawojewski J. (2007) Problem solving and modeling. In: LesterF. (ed.) Second handbook of research on mathematics teaching and learning. Information Age, Charlotte NC: 763–804. ▸︎ Google︎ Scholar
Maheux J. F. & Proulx J. (2014) De la résolution de problème à problématiser mathématiquement: Vers une nouvelle approche de l’activité mathématique de l’élève. Education et Francophonie 42(2): 24–43. ▸︎ Google︎ Scholar
Pask G. (1985) Problematic situations. Cybernetic 1: 79–87 https://cepa.info/6140
Proulx J. & Maheux J. F. (2017) From problem-solving to problem-posing, and from strategies to laying down a path in solving – Taking on Varela’s ideas for mathematics education research. Constructivist Foundations 13(1): 160–167 https://constructivist.info/13/1/160
Sevim V. & Cifarelli V. V. (2013) The co-evolution of problem posing and problem solving in the course of Sarah’s on-going solution activity. In: Lindmeier A. M. & Heinze A. (eds.) Proceedings of the 37th meeting of the International Group for the Psychology of Mathematics Education. Volume 5. PME, Kiel: 165. ▸︎ Google︎ Scholar

Comments: 0

To stay informed about comments to this publication and post comments yourself, please log in first.