The Future of the Teaching and Learning of Algebra

Kaye Stacey Helen Chick and Margaret Kendal The University of Melbourne Australia Abstract: This section reports on the organisation procedures and publications of the ICMI Study The Future of the Teaching and Learning of Algebra. Key words: Study Conference organisation procedures publications The International Commission on Mathematical Instruction (ICMI) has since the 1980s conducted a series of studies into topics of particular significance to the theory and practice of contemporary mathematics education. Each ICMI Study involves an international seminar the Study Conference and culminates in a published volume intended to promote and assist discussion and action at the international national regional and institutional levels. The ICMI Study running from 2000 to 2004 was on The Future of the Teaching and Learning of Algebra and its Study Conference was held at The University of Melbourne Australia fromDecember to 2001. It was the first study held in the Southern Hemisphere. There are several reasons why the future of the teaching and learning of algebra was a timely focus at the beginning of the twenty first century. The strong research base developed over recent decades enabled us to take stock of what has been achieved and also to look forward to what should be done and what might be achieved in the future. In addition trends evident over recent years have intensified. Those particularly affecting school mathematics are the massification of educationcontinuing in some countries whilst beginning in othersand the advance of technology.

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This book presents a wide-ranging, international perspective on the state of the field of algebra from invited participants to the 12th ICMI Study Conference held in Melbourne, Australia in 2001. The authors are renowned academics from all around the world who have written individual chapters associated with the teaching and learning of algebra that relate to their particular areas of research and teaching expertise. The book includes information about different approaches to the teaching and learning of algebra - from early algebra to tertiary algebra, the impact of tools and technology (including Computer Algebra Systems), the role of symbols and language, teachers of algebra, and the history of algebra.

The Future of the Teaching and Learning of Algebra: the 12th ICMI Study is of interest to researchers, curriculum developers, educational policy makers, teachers of mathematics, and trainee mathematics teachers.

Inhalt
Solving the Problem with Algebra.- The Core of Algebra: Reflections on its Main Activities.- Responses to 'The Core of Algebra'.- The Early Development of Algebraic Reasoning: The Current State of the Field.- A Toolkit for Analysing Approaches to Algebra.- Research on the Role of Technological Environments in Algebra Learning and Teaching.- Computer Algebra Systems and Algebra: Curriculum, Assessment, Teaching, and Learning.- The History of Algebra in Mathematics Education.- Symbols and Language.- Teachers' Knowledge and the Teaching of Algebra.- The Teaching and Learning of Tertiary Algebra.- Goals and Content of an Algebra Curriculum for the Compulsory Years of Schooling.- Algebra: A World of Difference.