The Nature and Role of Algebra in the K-14 Curriculum

The Nature and Role of Algebra in the K-14 Curriculum

Proceedings of a National Symposium

  • Publisher: National Academies Press
  • ISBN: 9780309061476
  • eISBN Pdf: 9780309522458
  • eISBN Epub: 9780309173681
  • Place of publication:  United States
  • Year of digital publication: 1998
  • Month: September
  • Pages: 207
  • DDC: 507
  • Language: English

With the 1989 release of Everybody Counts by the Mathematical Sciences Education Board (MSEB) of the National Research Council and the Curriculum and Evaluation Standards for School Mathematics by the National Council of Teachers of Mathematics (NCTM), the "standards movement" in K-12 education was launched. Since that time, the MSEB and the NCTM have remained committed to deepening the public debate, discourse, and understanding of the principles and implications of standards-based reform. One of the main tenets in the NCTM Standards is commitment to providing high-quality mathematical experiences to all students. Another feature of the Standards is emphasis on development of specific mathematical topics across the grades. In particular, the Standards emphasize the importance of algebraic thinking as an essential strand in the elementary school curriculum.

Issues related to school algebra are pivotal in many ways. Traditionally, algebra in high school or earlier has been considered a gatekeeper, critical to participation in postsecondary education, especially for minority students. Yet, as traditionally taught, first-year algebra courses have been characterized as an unmitigated disaster for most students. There have been many shifts in the algebra curriculum in schools within recent years. Some of these have been successful first steps in increasing enrollment in algebra and in broadening the scope of the algebra curriculum. Others have compounded existing problems. Algebra is not yet conceived of as a K-14 subject. Issues of opportunity and equity persist. Because there is no one answer to the dilemma of how to deal with algebra, making progress requires sustained dialogue, experimentation, reflection, and communication of ideas and practices at both the local and national levels. As an initial step in moving from national-level dialogue and speculations to concerted local and state level work on the role of algebra in the curriculum, the MSEB and the NCTM co-sponsored a national symposium, "The Nature and Role of Algebra in the K-14 Curriculum," on May 27 and 28, 1997, at the National Academy of Sciences in Washington, D.C.

  • Front Matter
  • Acknowledgments
  • Preface
  • Contents
  • Introduction
  • Opening Remarks*
  • Algebra with Integrity and Reality
  • Making Algebra Dynamic and Motivating: A National Challenge
  • Transforming Algebra from an Engine of Inequity to an Engine of Mathematical Power by “Algebrafying” the K-12 Curriculum
  • Developing a Coherent and Focused K-12 Algebra Curriculum
  • Enhancing Algebraic Reasoning with Technology
  • Algebra for Everyone? With or Without Technology?
  • How Might Technology Enhance Algebraic Reasoning?
  • What Do We Know about K-14 Students’ Learning of Algebra?
  • Algebra: What All Students Can Learn
  • Improving K-14 Algebra Instruction: A Discussion of Teachers’ Responsibilities and Students’ Opportunities
  • Synthesis of Day One*
  • Capturing Patterns and Functions: Variables and Joint Variation
  • Functions and Relations: A Unifying Theme for School Algebra in Grades 9-12
  • Middle School Algebra from a Modeling Perspective
  • Why Modeling Matters
  • Modeling: Changing the Mathematics Experience in Postsecondary Classrooms
  • Algebraic Structure in the Mathematics of Elementary-School Children
  • Structure in School Algebra (Middle School)
  • The Role of Algebraic Structure in the Mathematics Curriculum of Grades 11-14
  • Language and Representation in Algebra: A View from the Middle
  • Teaching Algebra: Lessons Learned by a Curriculum Developer
  • The Nature and Role of Algebra: Language and Representation
  • Remarks*
  • Appendix A The Nature and Role of Algebra in the K-14 Curriculum A National Symposium
  • Appendix B List of Participants*
  • Appendix C Speaker Biographies
  • Appendix D Invited Papers
  • Appendix E A Framework for Constructing a Vision of Algebra: A Discussion Document

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