This fourth volume in the series of yearbooks by the Association of Mathematics Educators in Singapore entitled Reasoning, Communication and Connections in Mathematics is unique in that it focuses on a single theme in mathematics education. The objective is to encourage teachers and researchers to advance reasoning, communication and connections in mathematics classrooms. Several renowned international researchers in the field have published their work in this volume. The fifteen chapters of the book illustrate evidence-based practices that school teachers and researchers can experiment with in their own classrooms to bring about meaningful learning outcomes. Three major themes: mathematical tasks, classroom discourse, and connectivity within and beyond mathematics, shape the ideas underpinning reasoning, communication and connections in these chapters. The book makes a significant contribution towards mathematical processes essential for learners of mathematics. It is a good resource for mathematics educators and research students.

The articles in this volume grew out of a 2019 workshop, held at Johns Hopkins University, that was inspired by a belief that when mathematicians take time to reflect on the social forces involved in the production of mathematics, actionable insights result. Topics range from mechanisms that lead to an inclusion-exclusion dichotomy within mathematics to common pitfalls and better alternatives to how mathematicians approach teaching, mentoring and communicating mathematical ideas. This collection will be of interest to students, faculty and administrators wishing to gain a snapshot of the current state of professional norms within mathematics and possible steps toward improvements.

Making Mathematics Meaningful-For Students in the Intermediate Grades is an invaluable resource for anyone interested in helping students reach the key learning outcomes of any mathematics curriculum. Developed through live and videotaped classroom observation and through diagnostic and achievement interviews with students, Making Mathematics Meaningful is a research-based guide to mathematics education that eschews outdated models based primarily and memorization and repetition in favor of a more holistic approach that encourages students to develop their mathematical reasoning skills through problem solving. This approach not only teaches students to become critical thinkers, but also contributes to language development, reading comprehension, and evaluative skills. Author Werner W. Liedtke offers advice on developing questioning strategies and creating practice tasks to ensure that students encounter the critical components of a mathematics program. For each topic, he provides assessment strategies and identifies key prerequisite skills and ideas that can be used for pre-tests, diagnostic purposes, or introductory teaching/learning settings. Making Mathematics Meaningful teaches students to - improve written and oral communication; - connect ideas to previous learning and to settings outside the classroom; - discover strategies for personal estimation and mental mathematics; - learn through problem solving; - develop curiosity, perseverance, and confidence.

This book constitutes the thoroughly refereed post-proceedings of the ICM 2002 International Satellite Conference on Electronic Information and Communication in Mathematics, held in Beijing, China, in August 2002.The 18 revised andnbsp;reviewed papersnbsp;assess the state of the art of the production and dissemination of electronic information in mathematics. Among the topics addressed are models and standards for information and metainformation representation; data search, discovery, retrieval, and analysis; access to distributed and heterogeneous digital collections; intelligent user interfaces to digital libraries; information agents, and cooperative work on mathematical data; digital collection generation; business models; and data security and protection.

The editors and contributors of these ten articles focus on the idea that communication includes both what is happening and being said among participants in a classroom and also the politics, values and ideologies that serve as the foundation of the practice. They describe how communication thereby involves register, representation and contexts through media-human interfaces in the classroom and in interpreting mathematics as a text, how communication in mathematics teaching becomes social interaction in cooperative settings and classroom activities, and how communication translates into practice, community, identity and policy.

This book considers some of the outstanding questions regarding language and communication in the teaching and learning of mathematics – an established theme in mathematics education research, which is growing in prominence. Recent research has demonstrated the wide range of theoretical and methodological resources that can contribute to this area of study, including those drawing on cross-disciplinary perspectives influenced by, among others, sociology, psychology, linguistics, and semiotics. Examining language in its broadest sense to include all modes of communication, including visual and gestural as well as spoken and written modes, it features work presented and discussed in the Language and Communication topic study group (TSG 31) at the 13th International Congress on Mathematical Education (ICME-13). A joint session with participants of the Mathematics Education in a Multilingual and Multicultural Environment topic study group (TSG 32) enhanced discussions, which are incorporated in elaborations included in this book. Discussing cross-cutting topics it appeals to readers from a wide range of disciplines, such as mathematics education and research methods in education, multilingualism, applied linguistics and beyond.

Conversations About Anthropology & Sociology include the following 5 wide-ranging Ideas Roadshow Conversations featuring leading experts. This collection includes a detailed preface highlighting the connections between the different books. Each book is broken into chapters with a detailed introduction and questions for discussion at the end of each chapter: I. The Science of Siren Songs: Stradivari Unveiled - A Conversation with master violinmaker, acoustician and MacArthur Fellow Joseph Curtin. This wide-ranging conversation explores Curtin’s long quest to characterize the sound of a Stradivari violin and the rigorous series of double-blind tests he and his colleagues developed to probe whether or not professional musicians can really tell the difference between a Stradivari and a modern violin. This thought-provoking book also examines violin acoustics and how acoustic science can be married to the art of violin making while merging time-honoured techniques with new materials and design. II. In the Cards - A Conversation with Fred Gitelman, world-champion bridge player and co-founder of Bridge Base Online. This comprehensive conversation provides behind-the-scenes insights into the world of professional bridge, the psychological stress of top-flight competition, how the human mind can compute amazing feats of memory, bridge in schools, coaching Bill Gates and Warren Buffett and more. III. Embracing the Anthropocene: Managing Human Impact - A Conversation with Mark Maslin, Professor of Geography at University College London. This in-depth conversation explores Mark Maslin’s research on the Anthropocene which according to his definition began when human impacts on the planet irrevocably started to change the course of the Earth’s biological and geographical trajectory, leading to climate change, loss of biodiversity, deforestation, and more. IV. The Joy of Mathematics - A Conversation with Ian Stewart, Emeritus Professor of Mathematics at the University of Warwick and bestselling science and science fiction writer. For Ian Stewart, mathematics is far more than dreary arithmetic, while mathematical thinking is one of the most important—and overlooked—aspects of contemporary society. This conversation explores what mathematics is and why it’s worth doing, symmetry, networks and patterns, the relationship between logic and proof, the role of beauty in mathematical thinking, the future of mathematics, linking mathematical oscillations to animal gaits, how to deal with the peculiarities of the mathematical community, and much more. V. On Atheists and Bonobos - A Conversation with primatologist Frans de Waal, the Charles Howard Candler Professor of Primate Behavior in the Department of Psychology at Emory University and director of the Living Links Center at the Yerkes National Primate Research Center at Emory. Frans de Waal is renowned for his work on the behaviour and social intelligence of primates. This thought-provoking conversation examines fascinating questions such as: Are we born with an innate sense of “the good”? Do we learn from others what is “wrong”? Does religion determine, or is it a result of, morality? and more. Howard Burton is the founder and host of all Ideas Roadshow Conversations and was the Founding Executive Director of Perimeter Institute for Theoretical Physics. He holds a PhD in theoretical physics and an MA in philosophy. Ideas Roadshow offers an expanding series of Ideas Roadshow Collections, visit our website: https://ideas-on-film.com/ideasroadshow/ for further details.

First published in 1990. Routledge is an imprint of Taylor & Francis, an informa company.