الصفحة 2
الصفحة 2
Humans-with-media and the reorganization of mathematical thinking : Information and communication technologies, modeling, visualization and experimentation
Offers a new conceptual framework for reflecting on the role of information and communication technology in mathematics education. Borba and Villarreal provide examples from research conducted at the level of basic and university-level education, developed by their research group based in Brazil, and discuss their findings in the light of the relevant literature. Arguing that different media reorganize mathematical thinking in different ways, they discuss how computers, writing and oral discourse transform education at an epistemological as well as a political level. Modeling and experimentation are seen as pedagogical approaches which are in harmony with changes brought about by the presence of information and communication technology in educational settings. Examples of research about on-line mathematics education courses, and Internet used in regular mathematics courses, are presented and discussed at a theoretical level. In this book, mathematical knowledge is seen as developed by collectives of humans-with-media.
History of Mathematics Teaching and Learning : Achievements, Problems, Prospects
This work examines the main directions of research conducted on the history of mathematics education. It devotes substantial attention to research methodologies and the connections between this field and other scholarly fields. The results of a survey about academic literature on this subject are accompanied by a discussion of what has yet to be done and problems that remain unsolved.
Guida alla teoria degli insiemi = Guide to set theory
Teachers are in difficulty with regard to the space and emphasis to be given to set theory topics, in their preparation and in their work, because they have not been provided with adequate knowledge at the university. It is safe to say, on the basis of much experience, that the average mathematician, even the researcher, does not know what set theory is. Two prejudices stand in the way of a good knowledge of the theory: one, of a minimalist type, is its identification with an unspecified "set theory", an austere language that is too demanding if one wants to impose it prematurely; the other is of a maximalist type and consists in the supposed and effective link with the more subtle questions of the foundations of mathematics. But the theory has an important mathematical content, and with many implications of didactic interest.
From Nano to Space : Applied Mathematics Inspired by Roland Bulirsch
Graduate students and postgraduates in Mathematics, Engineering and the Natural Sciences want to understand Applied Mathematics for the solution of everyday problems. Scholars of Roland Bulirsch working at universities, at research institutions and in industry combine research and review papers in this anthology. Their work is summed up under the title "From Nano to Space – Applied Mathematics Inspired by Roland Bulirsch". More than 20 contributions are divided into scales: nano, micro, macro, space and real life. The contributions survey current research and present case studies very interesting and informative for both graduate students and postgraduates. The contributions show how modern Applied Mathematics influences our everyday lives. Several contributions include complex graphics and illustrations, many of them in color.
Framing global mathematics : The international mathematical union between theorems and politics
This book is about the shaping of international relations in mathematics over the last two hundred years. It focusses on institutions and organizations that were created to frame the international dimension of mathematical research. Today, striking evidence of globalized mathematics is provided by countless international meetings and the worldwide repository ArXiv. The text follows the sinuous path that was taken to reach this state, from the long nineteenth century, through the two wars, to the present day. International cooperation in mathematics was well established by 1900, centered in Europe. The first International Mathematical Union, IMU, founded in 1920 and disbanded in 1932, reflected above all the trauma of WW I. Since 1950 the current IMU has played an increasing role in defining mathematical excellence, as is shown both in the historical narrative and by analyzing data about the International Congresses of Mathematicians. For each of the three periods discussed, interactions are explored between world politics, the advancement of scientific infrastructures, and the inner evolution of mathematics. Readers will thus take a new look at the place of mathematics in world culture, and how international organizations can make a difference. Aimed at mathematicians, historians of science, scientists, and the scientifically inclined general public.
European Traditions in Didactics of Mathematics
This book discusses several didactic traditions in mathematics education in countries across Europe, including France, the Netherlands, Italy, Germany, the Czech and Slovakian Republics, and the Scandinavian states. It shows that while they all share common features both in the practice of learning and teaching at school and in research and development, they each have special features due to specific historical and cultural developments. The book also presents interesting historical facts about these didactic traditions, the theories and examples developed in these countries.
Empirical research in statistics education
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 statistics education; teacher preparation; students’ knowledge; students’ role in statistics education; and how students learn statistics with the help of technology. For each topic, the survey builds upon existing reviews, complementing them with the latest research.
Educational Algebra : A Theoretical and Empirical Approach
Educational Algebra: A Theoretical and Empirical Approach adds to previous developments with priority given to a pragmatic perspective on "meaning in use" over "formal meaning". The bulk of these approaches and others of similar nature have lead to a focus on competence rather than on a user’s activity with mathematical language. Such a shift in perspective has fundamental implications on the way mathematical language is studied. Essentially, Grammar—the abstract formal system—and Pragmatics—the principles of the use of language—are complementary domains in this volume. Both are related to different teaching models, whether new or traditional, used in helping students to become competent users of Algebra.
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, spatial abilities and geometric reasoning, as well as the psychological roots of geometrical thinking and teacher preparation in geometry education. It considers these issues from historical, epistemological, cognitive semiotic and educational points of view in the context of students' difficulties and the design of teaching and curricula.
Dinaric Perspectives on TIMSS 2019 : Teaching and Learning Mathematics and Science in South-Eastern Europe
This book brings together national experts from across the Dinaric region to rigorously review IEA’s Trends in International Mathematics and Science Study (TIMSS) 2019 grade four data to develop a multidimensional and culturally sensitive perspective on their TIMSS 2019 primary-level results. The Dinaric region, named after the Dinaric Alps, is located in South-eastern Europe, and stretches through Croatia, Bosnia and Herzegovina, Serbia, Montenegro, Kosovo[1], Albania, and North Macedonia. IEA’s TIMSS has been an invaluable resource for monitoring international trends in mathematics and science achievement at grades four and eight since 1995. The TIMSS 2019 administration of the test to grade four students, provided a unique opportunity for analysis within shared regional settings and enabled the construction of this first report based on international study results from the region, prepared by the National Research Coordinators in collaboration with IEA.
Developing Students Statistical Reasoning : Connecting Research and Teaching Practice
This book is written for mathematics and statistics educators and researchers. It summarizes the research and highlights the important concepts for teachers to emphasize, and shows the interrelationships among concepts. It makes specific suggestions regarding how to build classroom activities, integrate technological tools, and assess students’ learning.
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 conceptualised within design science. Lastly, it explores developments in design science from a national and international perspective, while also discussing current trends in design research. Within the German-language tradition, considering ‘mathematics education as a design science’ primarily draws on the works of Wittmann.
Current and Future Perspectives of Ethnomathematics as a Program
This survey on the modernity of ethnomathematics addresses numerous themes related to both ethnomathematics and mathematics education. It offers a broader view of mathematics, including ideas, procedures, concepts, processes, methods, and practices rooted in distinct cultural environments. In addition, by reflecting on the social and political dimensions of ethnomathematics, another important aspect of this research program is the development of innovative approaches for a dynamic and glocalized society. Ethnomathematics recognizes that members of different cultures develop unique mathematical techniques, methods, and explanations that allow for an alternative understanding and transformation of societal norms. The theoretical basis of ethnomathematics offers a valid alternative to traditional studies of history, philosophy, cognition, and pedagogical aspects of mathematics.
Critical Questions in STEM Education
This volume is divided into three sections: the first one describes the nature of the component disciplines of STEM. The next section presents work from leaders representing all STEM disciplines and deals with aspects such as K-12 and post-secondary education. The last section draws conclusions regarding the natures of the disciplines, challenges and advantages of STEM education in terms of theoretical and practical implications. The two final chapters compile arguments from the research chapters, describing themes in research results, and making recommendations for best STEM education practice, and examining areas for future research in STEM education.
Critical Issues in Mathematics Education : Major Contributions of Alan Bishop
Critical Issues in Mathematics Education presents the significant contributions of Professor Alan Bishop within the mathematics education research community. Six critical issues, each of which have had paramount importance in the development of mathematics education research, are reviewed and include a discussion of current developments in each area.A comprehensive discussion of each of these topics is realized by offering the reader a classic research contribution of Professor Bishop’s together with commentary and invited chapters from leading experts in the field of mathematics education.
Contemporary Qualitative Research : Exemplars for Science and Mathematics Educators
This volume offers a unique set of research exemplars for science, mathematics and technology educators. The volume explores the important challenge of how to translate leading-edge methodologies into practical research strategies and techniques. The book is divided into three major sections, The Golden Age of Research, Meeting the Research Crises and A New Era of Research, with chapters exploring a variety of methodologies and representational forms and texts. These include historical, narrative, literary, phenomenological, autobiographical, virtual and performance texts, among others. Qualitative Research in Postmodern Times is an exciting and accessible book that will be essential reading for science, mathematics and technology educators interested in new forms of educational research. Beginning researchers will find it practically helpful in planning and conducting their research studies, while experienced researchers will welcome new theoretical insights into postmodern methodologies.
Connecting Mathematics and Mathematics Education : Collected Papers on Mathematics Education as a Design Science
This book features a selection of articles written by Erich Ch. Wittmann between 1984 to 2019, which shows how the “design science conception” has been continuously developed over a number of decades.
Computational Turbulent Incompressible Flow: Applied Mathematics : Body and Soul 4
This is Volume 4 of the book series of the Body & Soul mathematics education reform program, and presents a unified new approach to computational simulation of turbulent.
Matematica e cultura 2007 = Mathematics and culture 2007
We talk about theater even if the page cannot tell about Bustric's unforgettable show. And about art, and applied arts, such as geometric structure and spiritual meaning of the Zen garden of Ryoanji in Kyoto, and of soap bubbles, which are almost never lacking in Venetian encounters, Four-dimensional bubbles and gigantic bubbles that serve as a model for the Olympic swimming pool in Bejing
Lines of Inquiry in Mathematical Modelling Research in Education
The book addresses the “balancing act” between developing students’ modelling skills on the one hand, and using modelling to help them learn mathematics on the other, which arises from the integration of modelling into classrooms. In addition the book highlights professional learning and development for in-service teachers, particularly in systems where the introduction of modelling into curricula means reassessing how mathematics is taught.
