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The effect of a function-based approach to teaching pre-algebra in a 9th-grade introduction to algebra 1 course.

机译:在代数1课程的9年级入门中,基于功能的方法对预代数教学的效果。

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The purpose of this study was to examine the effects on algebra-readiness, mathematics achievement, and attitude toward mathematics of a function-based approach as compared to a traditional approach to teaching pre-algebra in a 9th-grade pre-algebra course. In addition, qualitative data was collected to describe typical lessons in each treatment group.;The subjects were 64 ninth-grade students in five sections of an Introduction to Algebra 1 course at a central Texas high school. Three sections received the function-based approach (experimental group) and two sections received the traditional approach (control group). This study used a quasi-experimental, nonequivalent control group design. Instruments used in the study were the Orleans-Hanna Algebra Prognosis Test, the Algebra 1 End-Of-Course Exam, the Mathematics Attitude Inventory, and the Classroom Observation Protocol.;The results of this study indicated that a function-based approach can be more effective than a traditional approach. As a whole, the function-based curriculum versus the traditional curriculum did not show a significant impact on the algebra-readiness of students; however, the performances of at-risk students and of special-education students within the experimental group indicated a higher degree of equity for those students who completed a function-based pre-algebra course.;Next, the data indicated that the function-based curriculum was conducive to higher mathematics achievement scores for each of the following categories: gender, ethnicity, at-risk status, and special-education status.;Finally, results concerning attitude toward mathematics indicated that the function-based pre-algebra curriculum can foster an atmosphere where males and females are fairly similar in their attitudes toward mathematics. The different treatments did not appear to affect the attitudes towards mathematics of various ethnic groups. Some differences were present within the treatment levels based on at-risk status and on special education status.;By implementing a function-based approach to teaching pre-algebra, the mathematics classroom approaches the vision for school mathematics where all students are engaged in learning rich mathematical content using appropriate tools with an emphasis on conceptual understanding. Results from this study indicate that such a move can be beneficial for the students in several areas as well as providing a higher degree of equity for certain sub-populations.
机译:这项研究的目的是检验与基于函数的方法的代数准备情况,数学成绩以及对数学态度的影响(与在9年级前的代数课程中教授预代数的传统方法相比)。此外,还收集了定性数据以描述每个治疗组中的典型课程。这些受试者是位于德克萨斯州中央高中的代数入门1课程的五个部分的64个九年级学生。三个部门接受了基于功能的方法(实验组),而两个部门接受了传统方法(对照组)。这项研究使用了准实验性,非等效性对照组设计。研究中使用的工具是奥尔良-汉纳代数预后测试,代数1课程结业考试,数学态度量表和课堂观察协议。研究结果表明,基于功能的方法可以比传统方法更有效。总体而言,基于功能的课程与传统课程相比,对学生的代数准备程度没有显着影响;然而,实验组中处于危险中的学生和特殊教育学生的表现表明,那些完成基于功能的代数预科课程的学生的平等度更高。课程有助于提高以下类别中每个类别的数学成绩:性别,种族,处境危险状态和特殊教育状态;最后,关于数学态度的结果表明,基于功能的代数课程可以促进男女对数学态度相当相似的气氛。不同的处理方式似乎并未影响各个种族对数学的态度。在基于风险状态和特殊教育状态的治疗水平上存在一些差异。;通过实施基于功能的方法进行预代数教学,数学教室实现了所有学生都参与学习的学校数学愿景使用适当的工具丰富数学内容,重点放在概念理解上。这项研究的结果表明,这样的举动可能有益于多个领域的学生,并且可以为某些子群体提供更高的公平度。

著录项

  • 作者

    Riggs, Elisabeth Beaty.;

  • 作者单位

    Baylor University.;

  • 授予单位 Baylor University.;
  • 学科 Education Mathematics.
  • 学位 Ed.D.
  • 年度 2003
  • 页码 295 p.
  • 总页数 295
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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