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A Districtwide Study of Automaticity When Included in Concept-Based Elementary School Mathematics Instruction

机译:在基于概念的小学数学教学中纳入自动性的区域范围研究

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摘要

While conceptual understanding of properties, operations, and the base-ten number system is certainly associated with the ability to access math facts fluently, the role of math fact memorization to promote conceptual understanding remains contested. In order to gain insight into this question, this study looks at the results when one of three elementary schools in a school district implements mandatory automaticity drills for 10 minutes each day while the remaining two elementary schools, with the same curriculum and very similar demographics, do not. This study looks at (a) the impact that schoolwide implementation of automaticity drills has on schoolwide computational math skills as measured by the ITBS and (b) the relationship between automaticity and conceptual understanding as measured by statewide standardized testing. The results suggest that while there may be an association between automaticity and higher performance on standardized tests, caution should be taken before assuming there are benefits to promoting automaticity drills. These results are consistent with those that support a process-driven approach to automaticity based on familiarity with properties and strategies associated with the base-ten number system; they are not consistent with those that support an answer-driven approach to automaticity based on memorization of answers.
机译:虽然对属性,运算和十进制数系统的概念性理解确实与流利地访问数学事实的能力相关联,但数学事实记忆在促进概念性理解方面的作用仍然存在争议。为了深入了解这个问题,本研究着眼于一个学区中的三所小学中的一所每天执行10分钟的强制性自动操练而其余两所具有相同课程和非常相似的人口统计结果的小学的结果,不要。这项研究着眼于(a)ITBS衡量的在学校范围内实施自动操练对学校范围内的计算数学技能的影响,以及(b)州范围内的标准化测试所衡量的自动化程度与概念理解之间的关系。结果表明,尽管自动化与标准化测试的更高性能之间可能存在关联,但在假设推广自动化演习会有好处之前,应谨慎行事。这些结果与那些基于对与十进制数字系统相关的属性和策略的熟悉,支持过程驱动的自动化方法的结果一致;它们与支持基于答案记忆的答案驱动的自动化方法的不一致。

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