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Preservice mathematics teachers' conceptions and enactments of modeling standards

机译:职前数学教师的概念和建模标准的制定

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Mathematical modeling has been highlighted recently as Common Core State Standards for Mathematics (CCSSM) included Model with Mathematics as one of the Standards for Mathematical Practices (SMP) and a modeling strand in the high school standards. This common aspect of standards across most states in the United States intended by CCSSM authors and policy makers seems to mitigate the diverse notions of mathematical modeling. When we observed secondary mathematics preservice teachers (M-PSTs) who learned about the SMP and used CCSSM modeling standards to plan and enact lessons, however, we noted differences in their interpretations and enactments of the standards, despite their attendance in the same course sections during a teacher preparation program. This result led us to investigate the ways the M-PSTs understood modeling standards, which could provide insights into better preparing teachers to teach mathematical modeling. We present the contrasting ways in which M-PSTs presented modeling related to their conceptions of mathematical modeling, choices of problems, and enactments over an academic year, connecting their practices to extant research. We consider this teaching and research experience as an opportunity to make significant changes in our instruction that may result in our students enhanced implementation of mathematical modeling.
机译:最近,数学建模受到关注,因为通用数学国家核心标准(CCSSM)包括数学模型作为数学实践标准(SMP)之一,并且是高中标准中的建模链。 CCSSSM作者和政策制定者打算在美国大多数州使用这种标准,这似乎减轻了数学建模的各种观念。当我们观察中学数学预科教师(M-PST)并了解SMP并使用CCSSM建模标准来计划和实施课程时,尽管他们参加了相同的课程部分,但我们注意到他们对标准的解释和颁布有所不同在教师预备课程中。这个结果使我们研究了M-PST理解建模标准的方式,这可以为更好地准备教师教授数学建模提供见解。我们介绍了M-PST提出与之相反的方式,这些方式与他们的数学建模概念,问题的选择以及整个学年的制定相关,并将其实践与现有研究联系起来。我们认为这种教学和研究经验是对教学进行重大更改的机会,这可能导致我们的学生增强对数学建模的实施。

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