Perspectives on School Algebra

Rosamund Sutherland, Teresa Rojano, Alan Bell, Romulo Lins (Herausgeber)

Buch | Softcover

278 Seiten

2010 | Softcover reprint of the original 1st ed. 2001
Springer (Verlag)
978-90-481-5522-4 (ISBN)

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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'.

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.

Erscheint lt. Verlag	5.12.2010
Reihe/Serie	Mathematics Education Library ; 22
Zusatzinfo	VII, 278 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Geisteswissenschaften ► Psychologie ► Pädagogische Psychologie
	Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik
	Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik
	Sozialwissenschaften ► Pädagogik ► Erwachsenenbildung
	Sozialwissenschaften ► Pädagogik ► Schulpädagogik / Grundschule
ISBN-10	90-481-5522-3 / 9048155223
ISBN-13	978-90-481-5522-4 / 9789048155224
Zustand	Neuware