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This volume examines how the history of mathematics can find application in the teaching of mathematics itself.
In the four decades since Imre Lakatos declared mathematics a "quasi-empirical science," increasing attention has been paid to the process of proof and argumentation in the field -- a development paralleled by the rise of computer technology and the mounting interest in the logical underpinnings of mathematics. Explanantion and Proof in Mathematics assembles perspectives from mathematics education and from the philosophy and history of mathematics to strengthen mutual awareness and share recent findings and advances in their interrelated fields. With examples ranging from the geometrists of the 17th century and ancient Chinese algorithms to cognitive psychology and current educational practi...
This is the first comprehensive International Handbook on the History of Mathematics Education, covering a wide spectrum of epochs and civilizations, countries and cultures. Until now, much of the research into the rich and varied history of mathematics education has remained inaccessible to the vast majority of scholars, not least because it has been written in the language, and for readers, of an individual country. And yet a historical overview, however brief, has become an indispensable element of nearly every dissertation and scholarly article. This handbook provides, for the first time, a comprehensive and systematic aid for researchers around the world in finding the information they need about historical developments in mathematics education, not only in their own countries, but globally as well. Although written primarily for mathematics educators, this handbook will also be of interest to researchers of the history of education in general, as well as specialists in cultural and even social history.
Enables teachers to learn the history of mathematics and then incorporate it in undergraduate teaching.
Grounded in research and theory, this text for secondary mathematics methods courses provides useful models of how concepts typically found in a secondary mathematics curriculum can be delivered, so that students develop a positive attitude about learning and using mathematics in their daily lives.
This book is the first to trace the origins and significance of positivism on a global scale. Taking their cues from Auguste Comte and John Stuart Mill, positivists pioneered a universal, experience-based culture of scientific inquiry for studying nature and society—a new science that would enlighten all of humankind. Positivists envisaged one world united by science, but their efforts spawned many. Uncovering these worlds of positivism, the volume ranges from India, the Ottoman Empire, and the Iberian Peninsula to Central Europe, Russia, and Brazil, examining positivism’s impact as one of the most far-reaching intellectual movements of the modern world. Positivists reinvented science, claiming it to be distinct from and superior to the humanities. They predicated political governance on their refashioned science of society, and as political activists, they sought and often failed to reconcile their universalism with the values of multiculturalism. Providing a genealogy of scientific governance that is sorely needed in an age of post-truth politics, this volume breaks new ground in the fields of intellectual and global history, the history of science, and philosophy.
This book comprises the Proceedings of the 12th International Congress on Mathematical Education (ICME-12), which was held at COEX in Seoul, Korea, from July 8th to 15th, 2012. ICME-12 brought together 3500 experts from 92 countries, working to understand all of the intellectual and attitudinal challenges in the subject of mathematics education as a multidisciplinary research and practice. This work aims to serve as a platform for deeper, more sensitive and more collaborative involvement of all major contributors towards educational improvement and in research on the nature of teaching and learning in mathematics education. It introduces the major activities of ICME-12 which have successfull...
This ground-breaking book investigates how the learning and teaching of mathematics can be improved through integrating the history of mathematics into all aspects of mathematics education: lessons, homework, texts, lectures, projects, assessment, and curricula. It draws upon evidence from the experience of teachers as well as national curricula, textbooks, teacher education practices, and research perspectives across the world. It includes a 300-item annotated bibliography of recent work in the field in eight languages.
The book presents the history of ICMI trough a prosopographical approach. In other words, it pays a lot of attention to the actors of the International movement. The portraits of the members of the ICMI Central Committees (1908-1936) and ICMI Executive Committees (1952-2008), and other eminent figures in ICMI history, who have passed away in the first 100 years of its life, are the guiding thread of the volume. Each portrait includes: · Biographical information · An outline of the various contributions made by the individual in question to the study of problems pertaining to mathematics teaching/education · Primary bibliography · Secondary with particular attention to the publications co...
These essays draw on recent and versatile work by museum staff, science educators, and teachers, showing what can be done with historical scientific instruments or replicas. Varied audiences - with members just like you - can be made aware of exciting aspects of history, observation, problem-solving, restoration, and scientific understanding, by the projects outlined here by professional practitioners. These interdisciplinary case studies, ranging from the cinematic to the hands-on, show how inspiration concerning science and the past can give intellectual pleasure as well as authentic learning to new participants, who might include people like you: students, teachers, curators, and the interested and engaged public. Contributors are Dominique Bernard, Paolo Brenni, Roland Carchon, Elizabeth Cavicchi, Stéphane Fischer, Peter Heering, J.W. Huisman, Françoise Khantine-Langlois, Alistair M. Kwan, Janet Laidla, Pierre Lauginie, Panagiotis Lazos, Pietro Milici, Flora Paparou, Frédérique Plantevin, Julie Priser, Alfonso San-Miguel, Danny Segers, Constantine (Kostas) Skordoulis, Trienke M. van der Spek, Constantina Stefanidou, and Giorgio Strano.