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Communication and Academic Vocabulary in Mathematics: A Content Analysis of Prompts Eliciting Written Responses in Two Elementary Mathematics Textbooks.

机译:数学中的交流和学术词汇:对两本基础数学教科书中提示书面回答的提示进行的内容分析。

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摘要

The purpose of this study was to investigate how writing in mathematics is treated in one 4th grade National Science Foundation (NSF)-funded mathematics textbook titled Everyday Mathematics and one publisher-generated textbook titled enVision MATH. The developed framework provided categories to support each of the research questions. The results indicate that writing is supported in both traditional and NSF developed 4th grade mathematics textbooks.;Results also indicated the number of exercises and writing prompts was higher in the enVision MATH textbook. However, Everyday Mathematics had a higher percentage of exercises that were coded as writing prompts. The framework domains of content strand in enVision MATH and Everyday Mathematics are similar in percentages with the exception of prompts coded in the other category. Everyday Mathematics appeared to be the only textbook analyzed to support writing across different content areas. Furthermore, the content strand of number sense had the largest percentage of writing prompts coded between both textbook series. Other findings from this study suggest that the type of vocabulary coded within the writing prompts was similar in all categories between both textbook series analyzed. Additionally, vocabulary specific to the domain of mathematics and symbols appeared to have the largest percentage in this category for both textbook series.;The teacher and student editions were explored in enVision MATH and Everyday Mathematics to provide more depth to the research. An exploration of the teacher edition indicated how writing was supported for instructional purposes. The teacher editions in both textbook series had the largest percentage of support in the form of one sample response. Within the student edition category, the layout varied in the enVision MATH and Everyday Mathematics textbook series. As a result, only the language of Everyday MATH could be analyzed for patterns in the sections, sub-sections, and additional sub-sections of where the prompts were located.;Although this investigation did not involve analyzing student responses to the writing prompts, the findings provide information regarding the expectations of the writer in order to construct a mathematical response. For example, the domain specific vocabulary (DSV) and symbols category was rated the highest in percentage for both textbooks indicating that students will need to have command of the language and symbols of mathematics in order to engage in meaning making written discourse.;Because most of the math prompts were specific to the problem solving category, it was determined after a linguistic analysis that the affordance of the prompt is much more complex than then binary categories of content and process Additionally, in order for students to respond to these content writing prompts, many process words known as meta-language (i.e., explanation, description, why question, how question) need to be comprehended in order for composition to begin.;In light of these findings, I recommend that special attention be given to the teacher and student editions regarding the implementation of writing in mathematics. The development of these materials has important implications regarding instruction and learning of mathematical concepts through writing, potentially impacting student performance on national and international assessments.
机译:这项研究的目的是调查如何在美国国家科学基金会(NSF)资助的一本四年级数学教科书《每天的数学》和一本由出版商生成的教科书《 enVision MATH》中处理数学写作。开发的框架提供了类别以支持每个研究问题。结果表明,传统和NSF开发的4年级数学教科书都支持写作。结果还表明,enVision MATH教科书中的练习次数和写作提示次数更高。但是,“日常数学”中有较高百分比的练习被编码为写作提示。 enVision MATH和“日常数学”中内容链的框架域在百分比上相似,但在另一类别中编码的提示除外。日常数学似乎是唯一经过分析可以支持跨不同内容领域写作的教科书。此外,数字意义的内容链在两个教科书系列之间编码的写作提示中所占的比例最大。这项研究的其他发现表明,写作提示中编码的词汇类型在所分析的两个教科书系列的所有类别中都是相似的。此外,在教科书系列中,特定于数学和符号领域的词汇似乎在该类别中占最大比例。; enVision MATH和“日常数学”中探索了教师和学生版本,以为研究提供更多深度。对教师版本的探索表明,如何将写作用于教学目的。两个教科书系列中的教师版本以一个样本回答的形式获得的支持比例最大。在学生版类别中,enVision MATH和“日常数学”教科书系列中的版式有所不同。结果,仅可以分析Everyday MATH的语言,以查找提示所位于的部分,小节和其他小节中的模式。尽管此调查并未涉及分析学生对写作提示的反应,研究结果提供了有关作者期望的信息,以构建数学响应。例如,在两种教科书中,领域专用词汇(DSV)和符号类别的百分比均最高,表明学生将需要掌握数学的语言和符号才能从事书面话语的意义。数学提示中的一部分特定于问题解决类别,经过语言分析后确定,提示的提供要比内容和过程的二进制类别复杂得多。此外,为了让学生对这些内容写作提示做出回应,为了使写作开始,需要理解许多被称为元语言的处理词(例如,解释,描述,为什么要问,如何要问);根据这些发现,我建议特别注意老师和有关数学写作实施的学生版。这些材料的开发对于通过写作进行数学概念的指导和学习具有重要意义,可能会影响学生在国家和国际评估中的表现。

著录项

  • 作者

    Joseph, Christine M.;

  • 作者单位

    University of South Florida.;

  • 授予单位 University of South Florida.;
  • 学科 Education Mathematics.;Education Instructional Design.
  • 学位 Ph.D.
  • 年度 2012
  • 页码 268 p.
  • 总页数 268
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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