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This book is open access under a CC BY 4.0 license. The book presents the Proceedings of the 13th International Congress on Mathematical Education (ICME-13) and is based on the presentations given at the 13th International Congress on Mathematical Education (ICME-13). ICME-13 took place from 24th- 31st July 2016 at the University of Hamburg in Hamburg (Germany). The congress was hosted by the Society of Didactics of Mathematics (Gesellschaft für Didaktik der Mathematik - GDM) and took place under the auspices of the International Commission on Mathematical Instruction (ICMI). ICME-13 brought together about 3.500 mathematics educators from 105 countries, additionally 250 teachers from German...
This book summarizes the vast amount of research related to teaching and learning probability that has been conducted for more than 50 years in a variety of disciplines. It begins with a synthesis of the most important probability interpretations throughout history: intuitive, classical, frequentist, subjective, logical propensity and axiomatic views. It discusses their possible applications, philosophical problems, as well as their potential and the level of interest they enjoy at different educational levels. Next, the book describes the main features of probabilistic thinking and reasoning, including the contrast to classical logic, probability language features, the role of intuitions, a...
Exploring Probability in School provides a new perspective into research on the teaching and learning of probability. It creates this perspective by recognizing and analysing the special challenges faced by teachers and learners in contemporary classrooms where probability has recently become a mainstream part of the curriculum from early childhood through high school. The authors of the book discuss the nature of probability, look at the meaning of probabilistic literacy, and examine student access to powerful ideas in probability during the elementary, middle, and high school years. Moreover, they assemble and analyse research-based pedagogical knowledge for teachers that can enhance the learning of probability throughout these school years. With the book’s rich application of probability research to classroom practice, it will not only be essential reading for researchers and graduate students involved in probability education; it will also capture the interest of educational policy makers, curriculum personnel, teacher educators, and teachers.
This publication offers a framework for the empowerment of people living in poverty throughout the world that concentrates on increasing people's freedom of choice and action to shape their own lives. Based on analysis of practical experiences, the book identifies four key elements to support empowerment: information, inclusion and participation, improved accountability and local organisational capacity. This framework is then applied to five areas of action to improve development effectiveness: provision of basic services, improved local governance, improved national governance, pro-poor market development, and access to justice and legal aid. It also offers twenty 'tools and practices' which concentrate on a wide-range of topics to support the empowerment of the poor.
Grade level: 4, 5, 6, 7, 8, 9, 10, e, i, s, t.
The Amazon basin is a key component of the global carbon cycle. Not only is the old-growth rainforests in the basin huge carbon storage with about 120 billion metric tons of carbon in their biomass, but they also process annually twice the rate of global anthropogenic fossil fuel emissions through respiration and photosynthesis. In addition, the basin is the largest global repository of biodiversity and produces about 20 percent of the world s flow of fresh water into the oceans. Despite the large CO2 efflux from recent deforestation, the Amazon rainforest is still considered to be a net carbon sink or reservoir because vegetation growth on average exceeds mortality. However, current climate...
The result is the most comprehensive elucidation of the evolutionary relationships of the Asteraceae and of the groups within it, and an exhaustive classification of the family. All available information on the phylogeny of the family has here been assembled in one volume; included are more than 50 cladograms and phylogenetic trees, many of them from new and hitherto unpublished cladistic analyses. In addition to introductory chapters on cladistics, classification, morphology, and evolution, the book also includes chapters on each of the sub-families and tribes, with illustrations of morphological details, as well as descriptions of all genera. Several of these chapters were provided by Arne A. Anderberg, Per Ola Karis, Bertil Nordenstam, Johannes Lundberg, and Olof Ryding, from the Swedish Museum of Natural History in Stockholm and from the Department of Systematic Botany at Uppsala University, Sweden.