Science and Mathematics

by David Bressoud, Imène Ghedamsi, Victor Martinez-Luaces, Günter Törner

This survey focuses on the main trends in the field of calculus education. Despite their variety, the findings reveal a cornerstone issue that is strongly linked to the formalism of calculus concepts and to the difficulties it generates in the learning and teaching process. As a complement to the main text, an extended bibliography with some of the...

by Ghislaine Gueudet, Marianna Bosch, Andrea diSessa, Oh Nam Kwon, Lieven Verschaffel

This book examines the kinds of transitions that have been studied in mathematics education research. It defines transition as a process of change, and describes learning in an educational context as a transition process. The book focuses on research in the area of mathematics education, and starts out with a literature review, describing the epist...

by Kathrin Glau, Matthias Scherer, Rudi Zagst

Quantitative models are omnipresent - but often controversially discussed - in todays risk management practice. New regulations, innovative financial products, and advances in valuation techniques provide a continuous flow of challenging problems for financial engineers and risk managers alike. Designing a sound stochastic model requires findin...

by Marilyn Strutchens, Rongjin Huang, Leticia Losano, Despina Potari, Márcia Cristina de Costa Trindade Cyrino, João Pedro da Ponte, Rose Mary Zbiek

This volume shares and discusses significant new trends and developments in research and practices related to various aspects of preparing prospective secondary mathematics teachers from 2005–2015. It provides both an overview of the current state-of-the-art and outstanding recent research reports from an international perspective. The authors co...

by Klaas Landsman

This book studies the foundations of quantum theory through its relationship to classical physics. This idea goes back to the Copenhagen Interpretation (in the original version due to Bohr and Heisenberg), which the author relates to the mathematical formalism of operator algebras originally created by von Neumann. The book therefore includes compr...

by Stephen Hegedus, Colette Laborde, Corey Brady, Sara Dalton, Hans-Stefan Siller, Michal Tabach, Jana Trgalova, Luis Moreno-Armella

This survey addresses the use of technology in upper secondary mathematics education from four points of view: theoretical analysis of epistemological and cognitive aspects of activity in new technology mediated learning environments, the changes brought by technology in the interactions between environment, students and teachers, the interrelation...

by Alexander Karp, Fulvia Furinghetti

This work examines the main directions of research conducted on the history of mathematics education. It devotes substantial attention to research methodologies and the connections between this field and other scholarly fields. The results of a survey about academic literature on this subject are accompanied by a discussion of what has yet to be do...

by Gabriele Kaiser, Norma Presmeg

The purpose of this Open Access compendium, written by experienced researchers in mathematics education, is to serve as a resource for early career researchers in furthering their knowledge of the state of the field and disseminating their research through publishing. To accomplish this, the book is split into four sections: Empirical Methods, Impo...

by Brian Doig, Julian Williams, David Swanson, Rita Borromeo Ferri, Pat Drake

This book is the first major publication on the topic of "Interdisciplinary Mathematics Education" and arose from the work of the first International Topic Study Group of the same name at the ICME-13 conference in Hamburg in 2016. It offers extensive theoretical insights, empirical research, and practitioner accounts of interdisciplinary ...

by Marcus Nührenbörger, Bettina Rösken-Winter, Chun Ip Fung, Ralph Schwarzkopf, Erich Christian Wittmann, Kathrin Akinwunmi, Felix Lensing, Florian Schacht

This ICME-13 Topical Survey reviews the state-of-the-art by first exploring the roots and scope of design science. Second, it presents two examples of current design science projects that focus on substantial learning environments including a student and a teacher perspective. Subsequently, the book elaborates on how empirical research can be conce...