The nature and development of experts’ strategy flexibility for solving equations
The nature and development of experts’ strategy flexibility for solving equations
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柔性求解方程专家策略的本质与发展
DOI：
10.1007/s11858-009-0185-5
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
K. Newton
中科院分区：
文献类型：
--
作者：
J. Star;K. Newton
在新兴的关于灵活性的文献中，很大程度上缺少对专家灵活性的考虑。专家是否像人们想象的那样表现出战略灵活性？如果是这样，专家们是如何看待这种能力在他们自己身上发展起来的？专家们认为灵活性是学校数学教学的重要成果吗？在本文中，我们描述了几次专家访谈的结果，以探索求解方程的策略灵活性。我们对8位内容专家进行了采访，在采访中我们问了一些关于灵活性的问题，并让这些专家参与解决问题。我们的分析表明，接受采访的专家确实在线性方程求解领域表现出策略灵活性，但他们并没有一致地选择最有效的方法来解决给定的方程。然而，不管这些专家是否在给定的问题上使用了最好的方法，他们仍然表现出对有效和优雅的问题解决方案的意识和欣赏。与我们交谈的专家能够根据对策略的心理和快速测试、问题解决者的目标（例如，效率、无错误执行、优雅）以及对给定问题类型的熟悉程度等因素，对给定问题的最合适策略做出微妙的判断。讨论了未来研究灵活性和数学教学的意义。
Largely absent from the emerging literature on flexibility is a consideration of experts’ flexibility. Do experts exhibit strategy flexibility, as one might assume? If so, how do experts perceive that this capacity developed in themselves? Do experts feel that flexibility is an important instructional outcome in school mathematics? In this paper, we describe results from several interviews with experts to explore strategy flexibility for solving equations. We conducted interviews with eight content experts, where we asked a number of questions about flexibility and also engaged the experts in problem solving. Our analysis indicates that the experts that were interviewed did exhibit strategy flexibility in the domain of linear equation solving, but they did not consistently select the most efficient method for solving a given equation. However, regardless of whether these experts used the best method on a given problem, they nevertheless showed an awareness of and an appreciation of efficient and elegant problem solutions. The experts that we spoke to were capable of making subtle judgments about the most appropriate strategy for a given problem, based on factors including mental and rapid testing of strategies, the problem solver’s goals (e.g., efficiency, error-free execution, elegance) and familiarity with a given problem type. Implications for future research on flexibility and on mathematics instruction are discussed.
影响因子：
4.1
作者：
Siegler, RS;Lemaire, P
通讯作者：
Lemaire, P