What Counts As Mathematics
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What Counts as Mathematics?
Author: Gail E. FitzSimons
language: en
Publisher: Springer Science & Business Media
Release Date: 2005-12-15
JÜRGEN MAASS & WOLFGANG SCHLÖGLMANN THEORY AND PRACTICE OF MATHEMATICS EDUCATION FOR ADULTS Our world is dominated by technological developments: The philosopher Heinz Hülsmann wrote that “Atom, Gen and Bit” are the three basic principles now (see Hülsmann, 1985). Each of the so-called new technologies is based upon mathematics: The first computer was built as a part of the Manhattan Project to calculate models of the atomic bomb. The human genome project uses computers very often to find out the structure of the genome. And computers are mathematical machines, materialised mathematics. Social organisations, companies, and not least governments use computers to process information. A precondition for this is to formalise the social or economical structure which “produces” the information. This formalisation is a type of mathematisation, too. The social and economical models of organisations or companies are a part of the process of mathematising the world. Last, but not least, mathematics is a part of everyday life and work. People handle money, buy things, do handywork at home (measure areas to paint, and so on). All together, mathematics is not only the basis for technology, economy, work and everyday life, but a part of our culture. It seems clear that everyone in our society should know more about this.
Measuring What Counts
Author: National Research Council
language: en
Publisher: National Academies Press
Release Date: 1993-02-01
To achieve national goals for education, we must measure the things that really count. Measuring What Counts establishes crucial research- based connections between standards and assessment. Arguing for a better balance between educational and measurement concerns in the development and use of mathematics assessment, this book sets forth three principlesâ€"related to content, learning, and equityâ€"that can form the basis for new assessments that support emerging national standards in mathematics education.
What Counts in Teaching Mathematics
Author: Sandy Schuck
language: en
Publisher: Springer Science & Business Media
Release Date: 2011-02-04
In this book, internationally recognised scholars and practitioners synthesise current practice and research developments in the area of mathematics teacher education and mathematics education. The book’s two sections examine the role and significance of collaborations and critical friends in the self-study of mathematics teaching and teacher education; and the emerging conflicts, dilemmas and incongruities arising from the study of mathematics education practices. The book considers the insights gained from self-analysis regarding the practitioner themselves, as well as their pedagogical content, students and approaches. The contributions highlight the complexity, characteristics and features of mathematics education. The chapters reveal nuances in teaching and learning that are of particular relevance in mathematics education. In addition, the book contains ideas and suggestions on how to enhance the teaching of mathematical content to pre-service teachers. Accordingly, thebook appeals to a wide audience of educators—including education academics, teachers, student teachers and researchers. As teacher educators involved in mathematics education, reflection on practice and engagement in practitioner research is becoming increasingly important in our efforts to enhance our teaching. Teachers and student teachers also gain from the insights arising from such reflection. The knowledge and experience encapsulated in this book provides much for the mathematics education community to build on.