This book presents both theoretical and empirical contributions from a global perspective on problem solving and posing (PS/PP) and their application, in relation to the teaching and learning of mathematics in schools. The chapters are derived from selected presentations in the PS/PP Topical Study Group in ICME14. Although mathematical problem posing is a much younger field of inquiry in mathematics education, this topic has grown rapidly. The mathematics curriculum frameworks in many parts of the world have incorporated problem posing as an instructional focus, building on problem solving as its foundation. The juxtaposition of problem solving and problem posing in mathematics presented in this book addresses the needs of the mathematics education research and practice communities at the present day. In particular, this book aims to address the three key points: to present an overview of research and development regarding students’ mathematical problem solving and posing; to discuss new trends and developments in research and practice on these topics; and to provide insight into the future trends of mathematical problem solving and posing.

This book, the outcome of a conference organised in 2012 in Paris as a homage to Michèle Artigue, is based on the main component of this event. However, it offers more than a mere reflection of the conference in itself, as various well-known researchers from the field have been invited to summarize the main topics where the importance of Artigue’s contribution is unquestionable. Her multiple interest areas, as a researcher involved in a wider community, give to this volume its unique flavour of diversity. Michèle Artigue (ICMI 2013 Felix Klein Award, CIAEM 2015 Luis Santaló Award) is without doubt one of the most influential researchers nowadays in the field of didactics of mathematics. This influence rests both on the quality of her research and on her constant contribution, since the early 1970s, to the development of the teaching and learning of mathematics. Observing her exemplary professional history, one can witness the emergence, the development, and the main issues of didactics of mathematics as a specific research field.

Seifedine Kadry is an associate professor of applied mathematics in the American University of the Middle East, Kuwait. He received his master's degree in modeling and intensive computing (2001) from the Lebanese University, EPFL-INRIA. He did his doctoral research (2003-2007) in applied mathematics from Blaise Pascal University / Clermont-Ferrand II, France. He worked as head of software support and analysis unit of First National Bank, where he designed and implemented the data warehouse and business intelligence. He has published one book and more than fifty papers on applied math, computer science, and stochastic systems in peer-reviewed journals

Ce livre de 35 problèmes se concentre autour d'interrogations concrètes, ancrées dans le quotidien et y répond à l'aide des mathématiques. À travers une variété de situations, comme le déplacement des drones, la distance de la Terre à la Lune ou le nombre de Bitcoins, cet ouvrage de niveau lycée aborde : les fonctions usuelles ;la trigonométrie ;les vecteurs ;les probabilités ;les statistiques ;les équations et inéquations ;et bien d'autres notions encore ! Accompagné de nombreuses illustrations et explications annexes, le livre s'adresse : aux lycéens désireux d'appliquer leurs récents apprentissages à des situations réelles ;aux élèves du supérieurs souhaitant perfectionner leurs connaissances ;aux amateurs de mathématiques curieux d'en explorer les champs d'application en s'exerçant.

This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.