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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 d...
In Greek geometry, there is an arithmetic of magnitudes in which, in terms of numbers, only integers are involved. This theory of measure is limited to exact measure. Operations on magnitudes cannot be actually numerically calculated, except if those magnitudes are exactly measured by a certain unit. The theory of proportions does not have access to such operations. It cannot be seen as an "arithmetic" of ratios. Even if Euclidean geometry is done in a highly theoretical context, its axioms are essentially semantic. This is contrary to Mahoney's second characteristic. This cannot be said of the theory of proportions, which is less semantic. Only synthetic proofs are considered rigorous in Gr...
In many countries, the focus of school curriculum shifts back and forth between traditional subjects (such as mathematics and history) and the development of skills (such as problem solving). Rosamund Sutherland argues here that skills-focused curriculum--often seen as preparing students to work in our digital age--can actually exacerbate existing social inequalities. Arguing from a social justice perspective, she contends that schools should prioritize instruction in traditional subjects, which can provide disadvantaged students with formal knowledge they are not likely to learn outside school. Sutherland's theoretical and practical insights point toward changes in policy and practice that could help improve student's lives.
Education and Technology for a Better World was the main theme for WCCE 2009. The conference highlights and explores different perspectives of this theme, covering all levels of formal education as well as informal learning and societal aspects of education. The conference was open to everyone involved in education and training. Additionally players from technological, societal, business and political fields outside education were invited to make relevant contributions within the theme: Education and Technology for a Better World. For several years the WCCE (World Conference on Computers in Education) has brought benefits to the fields of computer science and computers and education as well ...
This book brings together mathematics education research that makes a difference in both theory and practice - research that anticipates problems and needed knowledge before they become impediments to progress.
Why do students find learning mathematics difficult? Can anything be done about this? What can we learn from mathematics lessons in which students are motivated to struggle with difficult mathematical ideas? How can teachers make sense of the research which is available, and use it to improve practice in real classrooms? This book explores the factors that influence young people’s learning of mathematics. It uses a holistic, socio-culturally informed approach to show how all young people can be encouraged to engage with and learn mathematics. Rich examples from classroom practice are used to connect theory and practice. The role of mathematical tools, including information and communications technologies, is discussed. A key focus of the book is the link between teaching and learning, including different ways in which teachers can design and orchestrate mathematical learning environments. This important, accessible and relevant book is essential reading for student teachers of mathematics as well as all qualified mathematics teachers in secondary schools.
“This is a book all mathematics teachers and teacher educators should read! It brings together a wealth of insights from a range of authors… The major issues confronting teachers of mathematics who wish to use ICT in different domains of mathematics are addressed in a clear and accessible way.” Professor Celia Hoyles OBE, Dean of Research and Consultancy, Institute of Education, University of London Teaching Secondary Mathematics with ICT shows the reader how to use Information and Communication Technology (ICT) effectively to enhance the teaching of mathematics in the secondary school. The book explains which forms of technology can be used to improve mathematics teaching and learning...
This volume emphasizes the role of effective curriculum design, teaching materials, and pedagogy to foster algebra structure sense at different educational levels. Positing algebra structure sense as fundamental to developing students’ broader mathematical maturity and advanced thinking, this text reviews conceptual, historical, cognitive, and semiotic factors, which influence the acquisition of algebra structure sense. It provides empirical evidence to demonstrate the feasibility of linking algebra structure sense to technological tools and promoting it amongst diverse learners. Didactic approaches include the use of adaptive digital environments, gamification, diagnostic and monitoring tools, as well as exercises and algebraic sequences of varied complexity. Advocating for a focus on both intuitive and formal knowledge, this volume will be of interest to students, scholars, and researchers with an interest in educational research, as well as mathematics education and numeracy.
Didactics of Mathematics as a Scientific Discipline describes the state of the art in a new branch of science. Starting from a general perspective on the didactics of mathematics, the 30 original contributions to the book, drawn from 10 different countries, go on to identify certain subdisciplines and suggest an overall structure or `topology' of the field. The book is divided into eight sections: (1) Preparing Mathematics for Students; (2) Teacher Education and Research on Teaching; (3) Interaction in the Classroom; (4) Technology and Mathematics Education; (5) Psychology of Mathematical Thinking; (6) Differential Didactics; (7) History and Epistemology of Mathematics and Mathematics Educat...