Search results for author:"Nathalie Sinclair"
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Re-constructing a Painting with Geometric Eyes
Nathalie Sinclair
For the Learning of Mathematics Vol. 22, No. 3 (2002) pp. 19–22
Describes episodes from work with a small group of 8th grade students who were working independently on a geometry course. Uses Geometer's Sketchpad for the tasks. Discusses students' reasoning skills and their interpretation of the painting in...
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Generations of Research on New Technologies in Mathematics Education
Nathalie Sinclair
Teaching Mathematics and Its Applications: An International Journal of the IMA Vol. 33, No. 3 (September 2014) pp. 166–178
This article traces some of the influential ideas and motivations that have shaped a large part of the research on the use of new technologies in mathematics education over the past 40 years. Particular attention is focused on Papert's legacy,...
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Aesthetic Values in Mathematics: A Value-Oriented Epistemology
Nathalie Sinclair
International Group for the Psychology of Mathematics Education 4 (July 2005) pp. 199–205
Much has been said on matter of aesthetics and mathematics--perhaps most commonly articulated in relation to properties such as "beauty" and "elegance," which are used to distinguish good from not-so-good mathematical products. Despite its...
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The more it changes, the more it becomes the same: The development of the routine of shape identification in dynamic geometry environment
Nathalie Sinclair; Joan Moss
International Journal of Educational Research Vol. 51, No. 1 (2012) pp. 28–44
The overall aim of our research project is to explore the impact of dynamic geometry environments (DGEs) on children's geometrical thinking. The point of departure for the study presented in this paper is the analytically and empirically grounded...
Language: English
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Dragon Play: Microworld Design in a Whole-Class Context
Nicholas Jackiw; Nathalie Sinclair
Journal of Educational Computing Research Vol. 27, No. 1 (2002) pp. 111–45
Proposes a whole-class view of microworld design in which the total ecology of students, technology, and teacher is considered by the decisions and choices of the design. Presents a case study analysis of a secondary school classroom implementation...
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Learning Mathematics in Dynamic Computer Environments
Nathalie Sinclair; Sandra Crespo
Teaching Children Mathematics Vol. 12, No. 9 (May 2006) pp. 436–444
This article describes ways in which technology-supported mathematical investigation can engage students with substantive mathematics. It focuses particularly on the ways in which the NCTM Process and Content Standards for the elementary grades can...
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Tell a Piecewise Story
Nathalie Sinclair; Alayne Armstrong
Mathematics Teaching in the Middle School Vol. 16, No. 6 (February 2011) pp. 346–353
Piecewise linear functions and story graphs are concepts usually associated with algebra, but in the authors' classroom, they found success teaching this topic in a distinctly geometrical manner. The focus of the approach was less on learning...
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The cognitive labour of mathematics dis/ability: Neurocognitive approaches to number sense
Elizabeth de Freitas; Nathalie Sinclair
International Journal of Educational Research Vol. 79, No. 1 (2016) pp. 222–230
In this paper we discuss neurocognitive research into number sense to show how it reconfigures the cognitive labour of the mathematics student. Neurocognitive research is redefining mathematical proficiency and student agency in terms of the...
Language: English
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Learning Number with Touchcounts: The Role of Emotions and the Body in Mathematical Communication
Nathalie Sinclair; Einat Heyd-Metzuyanim
Technology, Knowledge and Learning Vol. 19, No. 1 (July 2014) pp. 81–99
In this paper we describe a touchscreen application called "TouchCounts," which is designed to support the development of number sense in the early years. We first provide an a priori analysis of its affordances. Then, using Sfard's...
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Using Dynamic Geometry Software to Explore Eigenvectors: The Emergence of Dynamic-Synthetic-Geometric Thinking
Shiva Gol Tabaghi; Nathalie Sinclair
Technology, Knowledge and Learning Vol. 18, No. 3 (October 2013) pp. 149–164
This article analyses students' thinking as they interacted with a dynamic geometric sketch designed to explore eigenvectors and eigenvalues. We draw on the theory of instrumental genesis and, in particular, attend to the different dragging...
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Young Children Reasoning about Symmetry in a Dynamic Geometry Environment
Oi-Lam Ng; Nathalie Sinclair
ZDM: The International Journal on Mathematics Education Vol. 47, No. 3 (June 2015) pp. 421–434
In this paper, we investigate children's learning of reflectional symmetry in a dynamic geometry environment. Through a classroom-based intervention involving two 1-h lessons, we analyse the changes in the children's thinking about reflectional...
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New Opportunities in Geometry Education at the Primary School
Nathalie Sinclair; Catherine D. Bruce
ZDM: The International Journal on Mathematics Education Vol. 47, No. 3 (June 2015) pp. 319–329
This paper outlines the new opportunities that that will be changing the landscape of geometry education at the primary school level. These include: the research on spatial reasoning and its connection to school mathematics in general and school...
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"Area without Numbers": Using Touchscreen Dynamic Geometry to Reason about Shape
Oi-Lam Ng; Nathalie Sinclair
Canadian Journal of Science, Mathematics and Technology Education Vol. 15, No. 1 (2015) pp. 84–101
In this article, we report on two lessons aimed at introducing junior high school students to the idea of shearing in a touchscreen dynamic geometry environment. By using shearing, we hoped to shift students' attention away from a formula-driven,...
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The Quantum Mind: Alternative Ways of Reasoning with Uncertainty
Elizabeth de Freitas; Nathalie Sinclair
Canadian Journal of Science, Mathematics and Technology Education Vol. 18, No. 3 (2018) pp. 271–283
Human reasoning about and with uncertainty is often at odds with the principles of classical probability. Order effects, conjunction biases, and sure-thing inclinations suggest that an entirely different set of probability axioms could be developed...
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Using Dynamic Geometry Software in the Mathematics Classroom: A Study of Teachers' Choices and Rationales
Sarah E. Kasten; Nathalie Sinclair
International Journal for Technology in Mathematics Education Vol. 16, No. 4 (2009) pp. 133–143
Over the past decade, research on the use of technology in the mathematics classroom has focused primarily on issues of student learning and engagement. In this article, we focus on middle grades mathematics teachers' use of The Geometer's Sketchpad,...
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Connect-ME: Building and Sustaining A Local, On-Line Professional Learning Community for Elementary Mathematics Educators
Lynda Colgan; Nathalie Sinclair; William Higginson
Society for Information Technology & Teacher Education International Conference 2000 (2000) pp. 2290–2295
This paper discusses a World Wide Web site (Connect-ME: http://hydra.educ.queensu.ca/CM/) that is being piloted for preservice and beginning elementary mathematics teachers. It describes the year-long development of the electronic learning...
Topics: Teachers, Mathematics
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A Coloured Window on Pre-Service Teachers' Conceptions of Rational Numbers
Nathalie Sinclair; Peter Liljedahl; Rina Zazkis
International Journal of Computers for Mathematical Learning Vol. 11, No. 2 (October 2006) pp. 177–203
In undergraduate mathematics courses, pre-service elementary school teachers are often faced with the task of re-learning some of the concepts they themselves struggled with in their own schooling. This often involves different cognitive processes...
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Number Worlds: Visual and Experimental Access to Elementary Number Theory Concepts
Nathalie Sinclair; Rina Zazkis; Peter Liljedahl
International Journal of Computers for Mathematical Learning Vol. 8, No. 3 (April 2004) pp. 235–263
Recent research demonstrates that many issues related to the structure of natural numbers and the relationship among numbers are not well grasped by students. In this article, we describe a computer-based learning environment called "Number Worlds"...
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Number Concepts with "Number Worlds": Thickening Understandings
Peter Liljedahl; Nathalie Sinclair; Rina Zazkis
International Journal of Mathematical Education in Science and Technology Vol. 37, No. 3 (Apr 15, 2006) pp. 253–275
This study focuses on the nature of preservice elementary school teachers' understandings of several concepts in elementary number theory that are evoked by a computer-based microworld called "Number Worlds". In particular, the focus is on the...
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Recent Research on Geometry Education: An ICME-13 Survey Team Report
Nathalie Sinclair; Maria G. Bartolini Bussi; Michael de Villiers; Keith Jones; Ulrich Kortenkamp; Allen Leung; Kay Owens
ZDM: The International Journal on Mathematics Education Vol. 48, No. 5 (2016) pp. 691–719
This survey on the theme of Geometry Education (including new technologies) focuses chiefly on the time span since 2008. Based on our review of the research literature published during this time span (in refereed journal articles, conference...