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Original Articles

Reflections on the status and nature of visual reasoning - the case of the matches

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Pages 255-265 | Published online: 11 Nov 2010

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (8)

Mathias Norqvist. (2018) The effect of explanations on mathematical reasoning tasks. International Journal of Mathematical Education in Science and Technology 49:1, pages 15-30.
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Manuel Santos-Trigo & Aaron Reyes-Rodriguez. (2016) The use of digital technology in finding multiple paths to solve and extend an equilateral triangle task. International Journal of Mathematical Education in Science and Technology 47:1, pages 58-81.
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Richard Medina & Daniel Suthers. (2013) Inscriptions Becoming Representations in Representational Practices. Journal of the Learning Sciences 22:1, pages 33-69.
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Dietmar Küchemann. (2010) Using patterns generically to see structure. Pedagogies: An International Journal 5:3, pages 233-250.
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Sergei Abramovich. (2005) How to ‘check the result’? Discourse revisited. International Journal of Mathematical Education in Science and Technology 36:4, pages 414-423.
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Kazuhiko Nunokawa. (2004) Solvers’ making of drawings in mathematical problem solving and their understanding of the problem situations. International Journal of Mathematical Education in Science and Technology 35:2, pages 173-183.
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Sergei Abramovich & Peter Brouwer. (2003) Revealing hidden mathematics curriculum to pre-teachers using technology: the case of partitions. International Journal of Mathematical Education in Science and Technology 34:1, pages 81-94.
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Steven R. Jones, Christian G. Barnett & Elizabeth G. Bailey. Students’ understanding of the ‘partitioned square' representation in mathematics and science contexts. International Journal of Mathematical Education in Science and Technology 0:0, pages 1-28.
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Articles from other publishers (15)

Karina J. Wilkie. (2022) Coordinating visual and algebraic reasoning with quadratic functions. Mathematics Education Research Journal 36:1, pages 33-69.
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Julie Alderton, Gwen Ineson, Gina Donaldson, Tim Rowland, Chronoula Voutsina & Kirsty Wilson. (2022) “You see things that you wouldn’t have seen otherwise”: enabling elementary preservice teachers to share different ways of seeing mathematics. Mathematics Education Research Journal 36:1, pages 7-32.
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Mustafa AKINCI & Murat GENÇ. (2023) Interpretations of Pre-service Elementary Mathematics Teachers on the Functions of Non-Textual Elements: Case Study on Algebra Learning Areaİlköğretim Matematik Öğretmen Adaylarının Metin Dışı Öğelerin İşlevlerine Yönelik Görüşleri: Cebir Öğrenme Alanına Ait Durum Çalışması. Sakarya University Journal of Education 13:1, pages 84-102.
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Handan DEMİRCİOĞLU & Ebru ARSLANTAŞ. (2022) Matematik Öğretmenlerinin Görsel Akıl Yürütme Becerilerinin Pisagor Teoremi Bağlamında İncelenmesi: Garfield’ın Görsel İspatıInvestigation of Visual Reasoning Skills of Mathematics Teachers in the Context of Pythagoras's Theorem: Garfield's Visual Proof. Gazi Üniversitesi Gazi Eğitim Fakültesi Dergisi 42:3, pages 1857-1878.
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Chronoula Voutsina, Julie Alderton, Kirsty Wilson, Gwen Ineson, Gina Donaldson & Tim Rowland. (2021) Preservice teachers’ expressed awarenesses: emerging threads of retro-spection of learning and pro-spection of teaching. Journal of Mathematics Teacher Education 25:2, pages 191-215.
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Karina J. Wilkie. (2022) Generalization of quadratic figural patterns: Shifts in student noticing. The Journal of Mathematical Behavior 65, pages 100917.
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Mehmet Ertürk GEÇİCİ & Elif TÜRNÜKLÜ. (2021) Visual Reasoning in Mathematics Education: A Conceptual Framework Proposal. Acta Didactica Napocensia 14:1, pages 115-126.
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Karina J. Wilkie. (2020) Seeing quadratics in a new light: secondary mathematics pre-service teachers’ creation of figural growing patterns. Educational Studies in Mathematics 106:1, pages 91-116.
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Karina J. Wilkie. (2019) Investigating secondary students’ generalization, graphing, and construction of figural patterns for making sense of quadratic functions. The Journal of Mathematical Behavior 54, pages 100689.
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Karina J. Wilkie & Michal Ayalon. (2018) Investigating Years 7 to 12 students’ knowledge of linear relationships through different contexts and representations. Mathematics Education Research Journal 30:4, pages 499-523.
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Isabel Vale, Teresa Pimentel & Ana Barbosa. 2018. Broadening the Scope of Research on Mathematical Problem Solving. Broadening the Scope of Research on Mathematical Problem Solving 243 272 .
Karina J. Wilkie & Doug M. Clarke. (2015) Developing students’ functional thinking in algebra through different visualisations of a growing pattern’s structure. Mathematics Education Research Journal 28:2, pages 223-243.
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Ajay Ramful, Siew Yin Ho & Tom Lowrie. (2015) Visual and analytical strategies in spatial visualisation: perspectives from bilateral symmetry and reflection. Mathematics Education Research Journal 27:4, pages 443-470.
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Intisar Natsheh & Ronnie Karsenty. (2013) Exploring the potential role of visual reasoning tasks among inexperienced solvers. ZDM 46:1, pages 109-122.
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Elena Nardi. 2014. Mathematics & Mathematics Education: Searching for Common Ground. Mathematics & Mathematics Education: Searching for Common Ground 193 220 .

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