Browsing by Author "Sinclair, Nathalie"

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    Exploring Collective Creativity in Elementary Mathematics Classroom Settings
    (2018-04) Aljarrah, Ayman; Towers, Jo; Davis, Brent; Sinclair, Nathalie; Francis, Krista; Lock, Jennifer V.
    The purposes of this research study were to investigate the nature of collective creativity in mathematics learning, offer needed empirical findings concerning collective creativity in Canadian elementary schools, explore ways in which collective creativity might be fostered in such settings, and generate understandings about the role of teachers in this endeavor. To fulfil the objectives of this study, I adopted a design-based research methodology with(in) which I worked closely with the participant teachers and scholars in the field of mathematics education, co-developing classroom tasks that would prompt collective creativity in mathematics and studying the design, implementation, and re-design of these tasks. I used three data collection methods, selected to gain a deeper understanding of my research questions, including: classroom observations, video records, and interviews. In my analysis and interpretation of the data, the main sources of which were the video recordings of students’ problem-solving sessions and teachers’ interviews, I concentrated on the students’ (co)acting and interacting within the group and how such collaborative practices contribute to the emergence of the new. Based on an extensive review of the literature on creativity, I suggested seven metaphors of creativity. Those were then refined and (re)developed over successive iterations of data analysis and interpretation until I ended up with four metaphors to describe the experience of creativity with(in) the collective: summing forces, expanding possibilities, divergent thinking, and assembling things in new ways. These were embodied in, and a representation of, varied, emergent, yet interwoven and recursive learning acts, thus I used collaborative emergence as an overarching framework for them. Moreover, I determined four categories for features of mathematics learning environments that I believe were critical in the emergence of collective creativity in such environments, including: attendance to inquiry-based learning, cultivation of collaborative problem-solving, an engaging learning environment, and thoughtful, subtle interventions. I believe that my metaphors of creativity, their logical implications and entailments, and the construct of emergence of collective creativity, offer teachers a frame for designing, evaluating, structuring, and restructuring their practices—structured and improvised practices—that include choosing, adopting, amending and/or designing learning activities to prompt and promote effective creative learning.
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    Multidisciplinary Perspectives on a Video Case of Children Designing and Coding for Robotics
    (Taylor & Francis, 2017-05-05) Francis, Krista; Davis, Brent; Hawes, Zachary; Moss, Joan; Okamoto, Yukari; Sinclair, Nathalie; Bruce, Catherine D.; Drefs, Michelle A.; Hallowell, David A.; McGarvey, Lynn M.; Mulligan, Joanne T.; Whiteley, Walter J.; Woolcott, Geoff W.
    Spatial reasoning plays a vital role in choice of and success in science, technology, engineering, and mathematics (STEM) careers, yet the topic is scarce in grade school curricula. We conjecture that this absence may be due to limited knowledge of how spatial reasoning is discussed and engaged across STEM professions. This study aimed to address that gap by asking 19 professionals to comment on a video that documented children's progression through 5 days of building and programming robots. Their written opinions on the skills relevant to their careers demonstrated by the children revealed that spatial thinking and design thinking are central to what they see.
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    Understanding gaps in research networks: using “spatial reasoning” as a window into the importance of networked educational research
    (Springer Nature, 2015-12-30) Bruce, Catherine D.; Davis, Brent; Sinclair, Nathalie; Francis, Krista; Hawes, Zachary; McGarvey, Lynn; Moss, Joan; Okamoto, Yukari; Hallowell, David A.; Drefs, Michelle A.; Mulligan, Joanne T.; Whiteley, Walter J.; Woolcott, Geoff W.
    This paper finds its origins in a multidisciplinary research group’s efforts to assemble a review of research in order to better appreciate how “spatial reasoning” is understood and investigated across academic disciplines. We first collaborated to create a historical map of the development of spatial reasoning across key disciplines over the last century. The map informed the structure of our citation search and oriented an examination of connection across disciplines. Next, we undertook a network analysis that was based on highly cited articles in a broad range of domains. Several connection gaps—that is, apparent blockages, one-way flows, and other limitations on communications among disciplines—were identified in our network analysis, and it was apparent that these connection gaps may be frustrating efforts to understand the conceptual complexity and the educational significance of spatial reasoning. While these gaps occur between the academic disciplines that we evaluated, we selected a few examples for closer analysis. To illustrate how this lack of flow can limit development of the field of mathematics education, we selected cases where it is evident that researchers in mathematics education are not incorporating the important work of mathematicians, psychologists, and neuroscientists—and vice versa. Ultimately, we argue, a more pronounced emphasis on transdisciplinary (versus multidisciplinary or interdisciplinary) research might be timely, and perhaps even necessary, in the evolution of educational research