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Explanation and Proof in Mathematics
In the four decades since Imre Lakatos declared mathematics a "quasi-empirical science," increasing attention has been paid to the process of proof and argumentation in the field -- a development paralleled by the rise of computer technology and the mounting interest in the logical underpinnings of mathematics. Explanantion and Proof in Mathematics assembles perspectives from mathematics education and from the philosophy and history of mathematics to strengthen mutual awareness and share recent findings and advances in their interrelated fields. With examples ranging from the geometrists of the 17th century and ancient Chinese algorithms to cognitive psychology and current educational practi...
Technology-Enhanced Learning
Technology-enhanced learning is a timely topic, the importance of which is recognized by educational researchers, practitioners, software designers, and policy makers. This volume presents and discusses current trends and issues in technology-enhanced learning from a European research and development perspective. This multifaceted and multidisciplinary topic is considered from four different viewpoints, each of which constitutes a separate section in the book. The sections include general as well as domain-specific principles of learning that have been found to play a significant role in technology-enhanced environments, ways to shape the environment to optimize learners’ interactions and ...
Fundamental Constructs in Mathematics Education
Fundamental Constructs in Mathematics Education is a unique sourcebook which has been crafted from a collection of classic tasks, extracts and texts that have been quoted repeatedly in mathematics education literature. Linked together by the editors'' narrative, the book provides a fascinating examination of key constructs in mathematics education. The book is divided into two parts. The first part examines ''thinking about the learner'' and includes the following constructs: constructivisms, activity theory and didactics. Beginning with a chapter dedicated to the classic tasks used by researchers to ''probe'' learners'' understanding, readers are encouraged to try these theories themselves ...
Handbook of Research on Transforming Mathematics Teacher Education in the Digital Age
The digital age provides ample opportunities for enhanced learning experiences for students; however, it can also present challenges for educators who must adapt to and implement new technologies in the classroom. The Handbook of Research on Transforming Mathematics Teacher Education in the Digital Age is a critical reference source featuring the latest research on the development of educators’ knowledge for the integration of technologies to improve classroom instruction. Investigating emerging pedagogies for preservice and in-service teachers, this publication is ideal for professionals, researchers, and educational designers interested in the implementation of technology in the mathematics classroom.
Mathematics Education as a Research Domain: A Search for Identity
No one disputes how important it is, in today's world, to prepare students to un derstand mathematics as well as to use and communicate mathematics in their future lives. That task is very difficult, however. Refocusing curricula on funda mental concepts, producing new teaching materials, and designing teaching units based on 'mathematicians' common sense' (or on logic) have not resulted in a better understanding of mathematics by more students. The failure of such efforts has raised questions suggesting that what was missing at the outset of these proposals, designs, and productions was a more profound knowledge of the phenomena of learning and teaching mathematics in socially established a...
Nordic Research in Mathematics Education
This volume presents the “state-of-the-art” of Nordic research on mathematics education within four broadly defined areas: the study and design of mathematics teaching in classrooms the identity and education of mathematics teachers the use of new technology in mathematics education meanings and challenges of providing mathematical education to all citizens in modern societies. It provides the reader with insights into research done not only by scholars from the Nordic countries (Denmark, Finland, Norway, Sweden and Iceland), but also by colleagues from the rest of Europe—and even other parts of the world. While the principal research questions addressed are universal in nature, their ...
Proof Technology in Mathematics Research and Teaching
This book presents chapters exploring the most recent developments in the role of technology in proving. The full range of topics related to this theme are explored, including computer proving, digital collaboration among mathematicians, mathematics teaching in schools and universities, and the use of the internet as a site of proof learning. Proving is sometimes thought to be the aspect of mathematical activity most resistant to the influence of technological change. While computational methods are well known to have a huge importance in applied mathematics, there is a perception that mathematicians seeking to derive new mathematical results are unaffected by the digital era. The reality is...
Mathematics and Cognition
This 1990 book is aimed at teachers, mathematics educators and general readers who are interested in mathematics education from a psychological point of view.
Transactions on Edutainment IV
This journal subline serves as a forum for stimulating and disseminating innovative research ideas, theories, emerging technologies, empirical investigations, state-of-the-art methods, and tools in all different genres of edutainment, such as game-based learning and serious games, interactive storytelling, virtual learning environments, VR-based education, and related fields. It covers aspects from educational and game theories, human-computer interaction, computer graphics, artificial intelligence, and systems design. This volume contains a selection of 12 outstanding contributions from Edutainment 2010, the 5th Int. Conference on E-Learning and Games, held in China in August 2009. The main focus of these papers is on e-learning system and applications, game techniques for learning, and virtual reality techniques for entertainment. In addition, 10 regular papers are included, which focus on virtual reality and game systems for learning and animation and interaction for entertainment.
Sustaining TEL: From Innovation to Learning and Practice
These proceedings of the ?fth European Conference on Technology Enhanced Learning (EC-TEL 2010) exemplify the highly relevant and successful research being done in TEL. Because of this greatwork,this year’s conference focused on “Sustaining TEL: From Innovation to Learning and Practice.” The last decade hasseensigni?cantinvestmentintermsofe?ortandresources(i.e.,time,people, and money) in innovating education and training. The time has come to make the bold step from small-scale innovation research and development to larg- scale and sustainable implementation and evaluation. It is time to show the world (i.e., government, industry, and the general population) that our ?eld has matured t...
