Limit search to available items
Book Cover
Author Kanbir, Sinan, author

Title Using design research and history to tackle a fundamental problem with school algebra : improving the quality of algebra education at the middle-school level / Sinan Kanbir, M.A. (Ken) Clements, Nerida F. Ellerton ; foreword by A. Eamonn Kelly
Published Cham, Switzerland : Springer, [2018]
Online access available from:
Springer eBooks    View Resource Record  


Description 1 online resource
Series History of mathematics education
History of mathematics education.
Contents Identifying a Problem with School Algebra -- Historical Reflections on How Algebra Became a Vital Component of Middle- and Secondary-School Curricula -- Framing a Classroom Intervention Study in a Middle-School Algebra Environment -- Document Analysis: The Intended CCSSM Elementary- and Middle-School Algebra Curriculum -- Review of Pertinent Literature -- Research Design and Methodology -- Quantitative Analyses of Data -- Qualitative Analyses of Data -- Answers to Research Questions, and Discussion -- Postscript: Framing Research Aimed at Improving School Algebra
Summary In this well-illustrated book the authors, Sinan Kanbir, Ken Clements, and Nerida Ellerton, tackle a persistent, and universal, problem in school mathematics--why do so many middle-school and secondary-school students find it difficult to learn algebra well? What makes the book important are the unique features which comprise the design-research approach that the authors adopted in seeking a solution to the problem. The first unique feature is that the authors offer an overview of the history of school algebra. Despite the fact that algebra has been an important component of secondary-school mathematics for more than three centuries, there has never been a comprehensive historical analysis of factors influencing the teaching and learning of that component. The authors identify, through historical analysis, six purposes of school algebra: (a) algebra as a body of knowledge essential to higher mathematical and scientific studies, (b) algebra as generalized arithmetic, (c) algebra as a prerequisite for entry to higher studies, (d) algebra as offering a language and set of procedures for modeling real-life problems, (e) algebra as an aid to describing structural properties in elementary mathematics, and (f) algebra as a study of variables. They also raise the question whether school algebra represents a unidimensional trait. Kanbir, Clements and Ellerton offer an unusual hybrid theoretical framework for their intervention study (by which seventh-grade students signifi cantly improved their elementary algebra knowledge and skills). Their theoretical frame combined Charles Sanders Peirce's triadic signifier-interpretant-signified theory, which is in the realm of semiotics, with Johann Friedrich Herbart's theory of apperception, and Ken Clements' and Gina Del Campo's theory relating to the need to expand modes of communications in mathematics classrooms so that students engage in receptive and expressive modes. Practicing classroom teachers formed part of the research team. This book appears in Springer's series on the "History of Mathematics Education." Not only does it include an important analysis of the history of school algebra, but it also adopts a theoretical frame which relies more on "theories from the past," than on contemporary theories in the field of mathematics education
Bibliography Includes bibliographical references and index
Notes Online resource; title from PDF title page (EBSCO, viewed November 3, 2017)
Subject Algebra -- Study and teaching (Middle school)
Form Electronic book
Author Clements, M. A. (McKenzie Alexander), 1942- author
Ellerton, Nerida F. (Nerida Fay), 1942- author
Kelly, Anthony E., author of foreword
ISBN 3319592041 (electronic bk.)
9783319592046 (electronic bk.)