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771.
Generalising the pattern rule for visual growth patterns: Actions that support 8 year olds’ thinking 总被引:1,自引:0,他引:1
A common approach used for introducing algebra to young adolescents is an exploration of visual growth patterns and expressing
these patterns as functions and algebraic expressions. Past research has indicated that many adolescents experience difficulties
with this approach. This paper explores teaching actions and thinking that begins to bridge many of these difficulties at
an early age. A teaching experiment was conducted with two classes of students with an average age of eight years and six
months. From the results it appears that young students are capable not only of thinking about the relationship between two
data sets, but also of expressing this relationship in a very abstract form. 相似文献
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Carmel M. Diezmann Tom Lowrie 《International Journal of Science and Mathematics Education》2012,10(6):1469-1490
Learning to think spatially in mathematics involves developing proficiency with graphics. This paper reports on 2 investigations of spatial thinking and graphics. The first investigation explored the importance of graphics as 1 of 3 communication systems (i.e. text, symbols, graphics) used to provide information in numeracy test items. The results showed that graphics were embedded in at least 50?% of test items across 3 year levels. The second investigation examined 11??C?12-year-olds?? performance on 2 mathematical tasks which required substantial interpretation of graphics and spatial thinking. The outcomes revealed that many students lacked proficiency in the basic spatial skills of visual memory and spatial perception and the more advanced skills of spatial orientation and spatial visualisation. This paper concludes with a reaffirmation of the importance of spatial thinking in mathematics and proposes ways to capitalize on graphics in learning to think spatially. 相似文献
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- Digital preservation will never be a solved problem: it needs constant reinvention, and is going to become harder over time.
- Scholarship is changing and this is affecting what needs to be preserved and what preservation means to the future of knowledge discovery.
- The diversification of outputs means that knowledge exists in a network of contextual metadata, data, software, standards and publications—requiring multilateral management of this complex knowledge graph.
- Preservation demands new skills, technologies and resources from librarians, publishers, funders and institutions—and more joined-up thinking about archiving.
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