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Theories of Mathematical Learning
Chemists, working with only mortars and pestles, could not get very far unless they had mathematical models to explain what was happening "inside" of their elements of experience -- an example of what could be termed mathematical learning. This volume contains the proceedings of Work Group 4: Theories of Mathematics, a subgroup of the Seventh International Congress on Mathematical Education held at Université Laval in Québec. Bringing together multiple perspectives on mathematical thinking, this volume presents elaborations on principles reflecting the progress made in the field over the past 20 years and represents starting points for understanding mathematical learning today. This volume will be of importance to educational researchers, math educators, graduate students of mathematical learning, and anyone interested in the enterprise of improving mathematical learning worldwide.
Constructivism in Education
First Published in 1995. Routledge is an imprint of Taylor & Francis, an informa company.
Radical Constructivism in Mathematics Education
Mathematics is the science of acts without things - and through this, of things one can define by acts. 1 Paul Valéry The essays collected in this volume form a mosaik of theory, research, and practice directed at the task of spreading mathematical knowledge. They address questions raised by the recurrent observation that, all too frequently, the present ways and means of teaching mathematics generate in the student a lasting aversion against numbers, rather than an understanding of the useful and sometimes enchanting things one can do with them. Parents, teachers, and researchers in the field of education are well aware of this dismal situation, but their views about what causes the wide-s...
Learning Mathematics
This volume emphasizes students' inferred mathematical experiences as the starting point in the theory-building process. The book addresses conceptual constructions, including multiplicative notions, fractions, algebra, and the fundamental theorem of calculus, and theoretical constructs such as the crucial role of language and symbols, and the importance of dynamic imagery.
Encyclopedia of Mathematics Education
This single-volume reference is designed for readers and researchers investigating national and international aspects of mathematics education at the elementary, secondary, and post-secondary levels. It contains more than 400 entries, arranged alphabetically by headings of greatest pertinence to mathematics education. The scope is comprehensive, encompassing all major areas of mathematics education, including assessment, content and instructional procedures, curriculum, enrichment, international comparisons, and psychology of learning and instruction.
The Washingtons. Volume 9
This is the ninth volume of a comprehensive history that traces the "Presidential Line" of the Washingtons. Volume one began with the immigrant John Washington who settled in Westmoreland Co., Va., in 1657, married Anne Pope, and was the great-grandfather of President George Washington. It contained the record of their descendants for a total of seven generations. Subsequent volumes two through eight continued this family history for an additional eight generations, highlighting most notable members (volume two) and tracing lines of descent from the royalty and nobility of England and continental Europe (volume three). Volume nine collects over 8,500 descendants of the recently discovered line of William Wright (died in Franklin Co., Va., ca. 1809). It also provides briefer accounts of five other early Wright families of Virginia that have often been mentioned by researchers as close kinsmen of George Washington, including: William Wright (died in Fauquier Co., Va., ca. 1805), Frances Wright and her husband Nimrod Ashby, and William Wright (died in Greensville Co., Va., by 1827). A cumulative index will complete the series as volume ten.
The First Sourcebook on Nordic Research in Mathematics Education
The First Sourcebook on Nordic Research in Mathematics Education: Norway, Sweden, Iceland, Denmark and contributions from Finland provides the first comprehensive and unified treatment of historical and contemporary research trends in mathematics education in the Nordic world. The book is organized in sections co-ordinated by active researchers in mathematics education in Norway, Sweden, Iceland, Denmark, and Finland. The purpose of this sourcebook is to synthesize and survey the established body of research in these countries with findings that have influenced ongoing research agendas, informed practice, framed curricula and policy. The sections for each country also include historical articles in addition to exemplary examples of recently conducted research oriented towards the future. The book will serve as a standard reference for mathematics education researchers, policy makers, practitioners and students both in and outside the Nordic countries.
