Faculty of Education - Research Publications

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Now showing 1 - 10 of 957
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    Reflection, Evaluation and Metacognition: One Teacher’s Personal Journey
    Acquaro, D (Teacher Learning Network, 2006)
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    Speaking as 'Other'
    Illesca, B ; DOECKE, B ; Homer, D ; Nixon, H (Wakefield Press, 2003)
    As a Chilean born Australian, Septmeber 11th holds a significance for me that is perhaps different to the significance that is currently a part of the media created collective consciousness. It was on this date in 1973 that the world's first democratically elected socialist government was toppled in a bloody coup. These events set in train processes that eventually lead to the murder and displacement of hundreds of thousands of Chilean citizens. My family was amongst those sent into exile.
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    Student inclination to work with unfamiliar challenging problems: The role of resilience
    WILLIAMS, G (The Mathematical Association of Victoria, 2003)
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    Teacher Research can Enrich Teaching Practice: An Example
    WILLIAMS, G ; CAVALLIN, N (The Mathematical Association of Victoria, 2004)
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    Teaching and Learning in the Middle Years of Schooling: Having Faith in Students
    TADICH, B ; WILLIAMS, G (The Mathematical Association of Victoria, 2004)
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    The Nature of Spontaneity in High Quality Learning Situations
    WILLIAMS, G (Bergen University College, 2004)
    Spontaneity has been linked to high quality learning experiences in mathematics (Csikszentmihalyi & Csikszentmihalyi, 1992; Williams, 2002).This paper shows how spontaneity can be identified by attending to the nature of social elements in the process of abstracting (Dreyfus, Hershkowitz, & Schwarz, 2001). This process is elaborated through an illustrative example—a Year 8 Australian male student who scaffolded his learning by attending to images in the classroom that were intended for other purposes. Leon’s cognitive processing was not ‘observable’ (Dreyfus et al., 2001) in classroom dialogue because Leon ‘thought alone’. Post-lesson videostimulated reconstructive interviews facilitated study of Leon’s thought processes and extended methodological techniques available to study thinking in classrooms..
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    Abstracting by Constructing and Revising a 'Partially Correct Construct': A Case Study
    Williams, GW (Mathematics Education Research Group of Australasia, 2010)
    This study draws on data from a broader video-stimulated interview study of the role of optimism in collaborative problem solving. It examines the activity of a Grade 5 student, Tom, whose initial constructing activity resulted in a ‘Partially Correct Construct’. Insistent questioning from another group member pressuring for clarification led to Tom developing a ‘more correct construct’ with further potential for revision. This paper raises questions about influences that can stimulate or inhibit construct refinement.
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    Symbiosis between creative mathematical thinking accompanied by high positive affect, and optimism
    Williams, G ; Pinto, MMF ; Kawasaki, TF (The International Group for the Psychology of Mathematics Education (PME), 2010-01-01)
    Video-stimulated post-lesson interviews captured changes in a Grade 5 elementary school student, Tom's, orientation to problem solving. Whilst participating in small group problem solving including reports to the class ('Engaged to Learn' pedagogy), Tom changed from self-focused (Task 1), to group focused (Task 2), and taskfocused (Task 3). He experienced surprise as complexities became apparent in what had appeared to be simple (Task 2), and displayed positive affect during his creative thinking leading to insight (Task 3). Consistent with Seligman's (1995) findings, 'flow' (Csikszentmihalyi, 1992), a state of high positive affect accompanying creative activity was associated with optimism building. Instead of needing to be valued by others to feel successfol, Tom began to internalise his successes as attributes of self.
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    Australia: Significant Characteristics of the School System and the Mathematics Curriculum
    Williams, G ; Mesiti, C ; Clarke, D ; Clarke, D ; Keitel, C ; Shimizu, Y (Sense Publishers, 2006)
    In Australia, states and territories regulate their own education systems, however, national benchmarks representing minimum standards for Numeracy (in the areas of number sense, measurement and data sense, and spatial sense) help inform the individual state curricula. Australia has three school sectors: Government, Independent, and Catholic. As data collection in the Learner's Perspective Study (LPS) was restricted to Government schools, this overview focuses primarily on the types of schools from which the Learner's Perspective Study (LPS) data from Year 8 mathematics lessons was collected: Victorian government secondary schools.
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    Comparing and contrasting methodologies: A commentary
    Bikner-Ahsbahs, A ; Williams, G ; Zaslavsky, O ; Sullivan, P (Routledge, 2009-04-15)
    The term ‘methodology’ is discussed before we consider the methodological contributions of each team of chapter authors (Cobb, Gresalfi & Hodge; Nathan, Eilam & Kim; and Saxe, Gearhart, Shaughnessy, Earnest, Cremer, Itabkhan, Platas & Young) and examine links between them. We generate questions arising from our analyses of the three chapters in this section and formulate views on classroom learning in mathematics that could be researched through complementary analyses. The subsequent discussion of data-collection instruments appropriate to further analyses is informed by our own research perspectives. This commentary concludes with a summary of what we have learnt through comparing the three methodologies and how simultaneously focusing on data from different theoretical perspectives might help to show the way forward in researching the richness of learning in classrooms.