The Troika of Adult Learners, Lifelong Learning, and Mathematics
This book presents a synopsis of six emerging themes in adult mathematics/numeracy and a critical discussion of recent developments in terms of policies, provisions, and the emerging challenges, paradoxes and tensions. It also offers an extensive review of the literature adult mathematics education. Why do adults want to learn mathematics? Did they...
Research on Teaching and Learning Probability
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 vie...
International Comparative Studies in Mathematics
It argues that the main purpose of educational research is to improve student learning, and that international comparative studies are no exception....
Inquiry-Based Learning - Undergraduate Research
This book provides a systematic overview of experiences with Inquiry-Based Learning (IBL) and undergraduate research (UR) in German universities, covering both research universities (Universitäten) and universities of applied sciences (Fachhochschulen). Divided into three parts, the book starts with the principles and common practices of IBL/UR at...
Global Perspectives on Recognising Non-formal and Informal Learning
This book deals with the relevance of recognition and validation of non-formal and informal learning in education and training, the workplace and society. In an increasing number of countries, it is at the top of the policy and research agenda ranking among the possible ways to redress the glaring lack of relevant academic and vocational qualificat...
Machine Learning Yearning
AI is transforming numerous industries. Machine Learning Yearning, a free ebook from Andrew Ng, teaches you how to structure Machine Learning projects. This book is focused not on teaching you ML algorithms, but on how to make ML algorithms work. After reading Machine Learning Yearning, you will be able to: - Prioritize the most promising direc...
Computational Thinking Education
This book offers a comprehensive guide, covering every important aspect of computational thinking education. It provides an in-depth discussion of computational thinking, including the notion of perceiving computational thinking practices as ways of mapping models from the abstraction of data and process structures to natural phenomena. Further, it...
Responsive Open Learning Environments
This book presents the outcomes of four years of educational research in the EU-supported project called ROLE (Responsive Online Learning Environments). ROLE technology is centered around the concept of self-regulated learning that creates responsible learners, who are capable of critical thinking and able to plan their own learning processes. ROL...
Machine Learning for Cyber Physical Systems
This book proceedings presents new approaches to Machine Learning for Cyber Physical Systems, experiences and visions. It contains some selected papers from the international Conference ML4CPS - Machine Learning for Cyber Physical Systems, which was held in Karlsruhe, October 23-24, 2018. Cyber Physical Systems are characterized by their ability to...
Invited Lectures from the 13th International Congress on Mathematical Education
The book presents the Invited Lectures given at 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...
Design Science and Its Importance in the German Mathematics Educational Discussion
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...
Theories in and of Mathematics Education
This survey provides an overview of German meta-discourse on theories and mathematics education as a scientific discipline, from the 1970s to the 1990s. Two theory strands are offered: a semiotic view related to Peirce and Wittgenstein (presented by Willibald Dörfler), and the theory of learning activity by Joachim Lompscher (presented by Regina B...
Transforming Education Outcomes in Africa
Good education changes lives. It is therefore unsurprising that improved schooling plays a central part in most development strategies. At the same time, the expansion of school attainment alone is not sufficient to guarantee improved welfare. This book focuses on one country in West Africa, Togo, to explore what a country that has successfully inc...
Collaborative Curriculum Design for Sustainable Innovation and Teacher Learning
This book provides insight into what it takes to actively involve teachers in the curriculum design process. It examines different aspects of teacher involvement in collaborative curriculum design, with specific attention to its implications for sustainable curriculum innovation and teacher learning. Divided into six sections, the book starts out b...
Teaching and Learning of Calculus
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...
Problem Solving in Mathematics Education
This survey book reviews four interrelated areas: (i) the relevance of heuristics in problem-solving approaches – why they are important and what research tells us about their use; (ii) the need to characterize and foster creative problem-solving approaches – what type of heuristics helps learners devise and practice creative solutions; (iii) t...
Interdisciplinary Mathematics Education
This book provides an essential introduction to the state-of the-art in interdisciplinary Mathematics Education. First, it begins with an outline of the field's relevant historical, conceptual and theoretical backgrounds, what "discipline" means and how inter-, trans-, and meta-disciplinary activities can be understood. Relevant theoretic...
Empirical Research in Statistics Education
This ICME-13 Topical Survey provides a review of recent research into statistics education, with a focus on empirical research published in established educational journals and on the proceedings of important conferences on statistics education. It identifies and addresses six key research topics, namely: teachers' knowledge; teachers' role in stat...
Values and Valuing in Mathematics Education
This engaging free book discusses how a values and valuing perspective can facilitate a more effective mathematics pedagogical experience, and allows readers to explore multiple applications of the values perspective across different education systems. It also clearly shows that teaching mathematics involves not only reasoning and feelings, but als...
Proceedings of the 13th International Congress on Mathematical Education
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 Societ...
Automated Machine Learning
This book presents the first comprehensive overview of general methods in Automated Machine Learning (AutoML), collects descriptions of existing systems based on these methods, and discusses the first series of international challenges of AutoML systems. The recent success of commercial ML applications and the rapid growth of the field has created ...
Lines of Inquiry in Mathematical Modelling Research in Education
This book is based on selected presentations from Topic Study Group 21: Mathematical Applications and Modelling in the Teaching and Learning of Mathematics at the 13th International Congress on Mathematical Education (ICME 13), held in Hamburg, Germany on July 24–31, 2016. It contributes to the theory, research and teaching practice concerning th...
Efficient Learning Machines
Machine learning techniques provide cost-effective alternatives to traditional methods for extracting underlying relationships between information and data and for predicting future events by processing existing information to train models. Efficient Learning Machines explores the major topics of machine learning, including knowledge discovery, cla...
Early Algebra
This survey of the state of the art on research in early algebra traces the evolution of a relatively new field of research and teaching practice. With its focus on the younger student, aged from about 6 years up to 12 years, this volume reveals the nature of the research that has been carried out in early algebra and how it has shaped the growth o...
Teaching and Learning About Whole Numbers in Primary School
This book offers a theory for the analysis of how children learn and are taught about whole numbers. Two meanings of numbers are distinguished – the analytical meaning, defined by the number system, and the representational meaning, identified by the use of numbers as conventional signs that stand for quantities. This framework makes it possible ...
Open and Distance Education in Australia, Europe and the Americas
This free book describes the history, structure and institutions of open and distance education in six countries: Australia, Brazil, Canada, Germany, the UK and the US. It discusses how open and distance education is evolving in a digital age to reflect the needs and circumstances of national higher education systems in these countries, and explore...
Open and Distance Education in Asia, Africa and the Middle East
This book describes the history, structure and institutions of open and distance education in six countries: China, India, Russia, Turkey, South Africa and South Korea. It describes how open and distance education is evolving in a digital age to reflect the needs and circumstances of the national higher education systems in these countries. It al...
Early Geometrical Thinking in the Environment of Patterns, Mosaics and Isometries
This book discusses the learning and teaching of geometry, with a special focus on kindergarten and primary education. It examines important new trends and developments in research and practice, and emphasizes theoretical, empirical and developmental issues. Further, it discusses various topics, including curriculum studies and implementation, spat...
Multiple-Aspect Analysis of Semantic Trajectories
This free book constitutes the refereed post-conference proceedings of the First International Workshop on Multiple-Aspect Analysis of Semantic Trajectories, MASTER 2019, held in conjunction with the 19th European Conference on Machine Learning and Knowledge Discovery in Databases, ECML PKDD 2019, in Würzburg, Germany, in September 2019. The 8 ful...
National Reflections on the Netherlands Didactics of Mathematics
This open access book, inspired by the ICME 13 Thematic Afternoon on "European Didactic Traditions", consists of 17 chapters, in which educators from the Netherlands reflect on the teaching and learning of mathematics in their country and the role of the Dutch domain-specific instruction theory of Realistic Mathematics Education.Written b...
Statistical Learning and Sequential Prediction
This free book will focus on theoretical aspects of Statistical Learning and Sequential Prediction. Until recently, these two subjects have been treated separately within the learning community. The course will follow a unified approach to analyzing learning in both scenarios. To make this happen, we shall bring together ideas from probability and ...
Educating Students to Improve the World
This book addresses how to help students find purpose in a rapidly changing world. In a probing and visionary analysis of the field of global education Fernando Reimers explains how to lead the transformation of schools and school systems in order to more effectively prepare students to address today’s’ most urgent challenges and to invent a be...

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