Perspectives on School Algebra

2001
ISBN: 978-90-481-5522-4
Verlag: Springer Netherlands

Buch, Englisch, Band 22, 278 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 446 g

Reihe: Mathematics Education Library

This book confronts the issue of how young people can find a way into the world of algebra. The contributions represent multiple perspectives which include an analysis of situations in which algebra is an efficient problem-solving tool, the use of computer-based technologies, and a consideration of the historical evolution of algebra. The book emphasises the situated nature of algebraic activity as opposed to being concerned with identifying students' conceptions in isolation from problem-solving activity. The chapters emerged from a working group of the International Group for the Psychology of Mathematics Education. The authors are drawn from an international community and the work highlights the differences in school algebra around the world. The group invited Nicolas Balacheff to write a provocative postscript and he suggests that `there is no possible entrance to the world of algebra without a strong push or guidance from the teacher, because there is no natural passage from the problématique accessible from the child's world to the mathematical problématique'.

Zielgruppe

Research

Autoren/Hrsg.

Sutherland, Rosamund

Lins, Romulo

Rojano, Teresa

Bell, Alan

Fachgebiete

• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Ausbildung, Jobs, Karriere: Naturwissenschaften, Technik, Medizin
• Mathematik | Informatik Mathematik Mathematik Allgemein Geschichte der Mathematik
• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Robotik
• Mathematik | Informatik EDV | Informatik Informatik Künstliche Intelligenz Wissensbasierte Systeme, Expertensysteme
• Sozialwissenschaften Pädagogik Lehrerausbildung, Unterricht & Didaktik Allgemeine Didaktik
• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Geschichte der Naturwissenschaften, Formalen Wissenschaften & Technik

Inhaltsverzeichnis

Approaches to Algebra.- The Historical Origins of Algebraic Thinking.- The Production of Meaning for Algebra: A Perspective Based on a Theoretical Model of Semantic Fields.- A Model for Analysing Algebraic Processes of Thinking.- The Structural Algebra Option Revisited.- Transformation and Anticipation as Key Processes in Algebraic Problem Solving.- Historical-Epistemological Analysis in Mathematics Education: Two Works in Didactics of Algebra.- Curriculum Reform and Approaches to Algebra.- Propositions Concerning the Resolution of Arithmetical-Algebraic Problems.- Beyond Unknowns and Variables - Parameters and Dummy Variables in High School Algebra.- From Arithmetic to Algebraic Thinking by Using a Spreadsheet.- General Methods: A Way of Entering the World of Algebra.- Reflections on the Role of the Computer in the Development of Algebraic Thinking.- Symbolic Arithmetic vs Algebra the Core of a Didactical Dilemma.