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Math in Society is a survey of contemporary mathematical topics, appropriate for a college-level topics course for liberal arts major, or as a general quantitative reasoning course.This book is an open textbook; it can be read free online at http://www.opentextbookstore.com/mathinsociety/. Editable versions of the chapters are available as well.
This World Bank report is a rich compilation of information on teaching learning materials (TLM) in Africa based on the extensive and multi-faceted experience of the author's work in the education sector in Africa. The study examines a wide range of issues around TLM provision including curriculum, literacy and numeracy, language of instruction policy, procurement and distribution challenges, TLM development and production and their availability, management and usage in schools. It also looks at the role of information and communication technology (ICT) based TLMs and their availability. The study recognizes that improved TLM system management is a critical component in achieving affordable and sustainable TLM provision for all students. This study, which draws from more than 40 Anglophone, Francophone, Lusophone, and Arabic-speaking countries will be particularly useful for policymakers, development partners, and other stakeholders attempting to understand the wide range of issues surrounding the complexity of textbook provision in Sub Saharan Africa.
Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.
Praise for the first edition: 'This book should be of interest to anyone interested in sustainable development, and especially sustainability indicators. Bell and Morse easily succeed in exposing the fundamental paradoxes of these concepts and, more importantly, they offer us a way forward. Readers ... will find their practical recommendations for those attempting to do sustainability analysis in the field most welcome, which is also the book's greatest strength.' Local Environment: The International Journal of Justice and Sustainability 'This book makes a valuable contribution to the theory and practice of using indicators for sustainability. It introduces systems ideas and a range of tools and techniques that have the potential to broaden and deepen our understanding of a whole range of complex situations. Well worth a closer look.' Christine Blackmore, Open University 'This is a book that explores new ways of thinking about how to measure sustainability... It offers stimulating food for thought for environmental educators and researchers.' Environmental Education Research 'This book tells me, as an SI 'practitioner', where I have been and why, and more importantly how I should be thinking in order to effectively present to and empower the local community in the years ahead.' David Ellis, Principal Pollution Monitoring Officer, Norwich City Council 'A practical guide to the development of sustainability indicators which offers a systemic and participative way to use them at local scale. Our preliminary results are highly positive and the approach is applicable in many contexts.' Elisabeth Coudert, Programme Officer Prospective and Regional Development, Blue Plan The groundbreaking first edition of Sustainability Indicators reviewed the development and value of sustainability indicators and discussed the advantage of taking a holistic and qualitative approach rather than focusing on strictly quantitative measures. In the new edition the authors bring the literature up to date and show that the basic requirement for a systemic approach is now well grounded in the evidence. They examine the origins and development of Systemic Sustainability Analysis (SSA) as a theoretical approach to sustainability which has been developed in practice in a number of countries on an array of projects since the first edition. They look at how SSA has evolved into the practical approaches of Systemic Prospective Sustainability Analysis (SPSA) and IMAGINE, and, in particular, how a wide range of participatory methodologies have been adopted over the years. They also provide an assessment of the strengths and weaknesses of projects that undertake work in the general field of sustainable development.
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.
