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The Infinite Union

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Making The Connection

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Author : Marilyn Paula Carlson
language : en
Publisher: MAA
Release Date : 2008

Making The Connection written by Marilyn Paula Carlson and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.

The chapters in this volume convey insights from mathematics education research that have direct implications for anyone interested in improving teaching and learning in undergraduate mathematics. This synthesis of research on learning and teaching mathematics provides relevant information for any math department or individual faculty member who is working to improve introductory proof courses, the longitudinal coherence of precalculus through differential equations, students' mathematical thinking and problem-solving abilities, and students' understanding of fundamental ideas such as variable and rate of change. Other chapters include information about programs that have been successful in supporting students' continued study of mathematics. The authors provide many examples and ideas to help the reader infuse the knowledge from mathematics education research into mathematics teaching practice. University mathematicians and community college faculty spend much of their time engaged in work to improve their teaching. Frequently, they are left to their own experiences and informal conversations with colleagues to develop new approaches to support student learning and their continuation in mathematics. Over the past 30 years, research in undergraduate mathematics education has produced knowledge about the development of mathematical understandings and models for supporting students' mathematical learning. Currently, very little of this knowledge is affecting teaching practice. We hope that this volume will open a meaningful dialogue between researchers and practitioners toward the goal of realizing improvements in undergraduate mathematics curriculum and instruction.

Research In Collegiate Mathematics Education Vii

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Author : Fernando Hitt
language : en
Publisher: American Mathematical Soc.
Release Date : 2010-03-05

Research In Collegiate Mathematics Education Vii written by Fernando Hitt and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-05 with Mathematics categories.

The present volume of Research in Collegiate Mathematics Education, like previous volumes in this series, reflects the importance of research in mathematics education at the collegiate level. The editors in this series encourage communication between mathematicians and mathematics educators, and as pointed out by the International Commission of Mathematics Instruction (ICMI), much more work is needed in concert with these two groups. Indeed, editors of RCME are aware of this need and the articles published in this series are in line with that goal. Nine papers constitute this volume. The first two examine problems students experience when converting a representation from one particular system of representations to another. The next three papers investigate students learning about proofs. In the next two papers, the focus is instructor knowledge for teaching calculus. The final two papers in the volume address the nature of ``conception'' in mathematics. Whether they are specialists in education or mathematicians interested in finding out about the field, readers will obtain new insights about teaching and learning and will take away ideas that they can use.

Nicholas Of Cusa S On Learned Ignorance

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Author : Karsten Harries
language : en
Publisher: CUA Press
Release Date : 2024-06-07

Nicholas Of Cusa S On Learned Ignorance written by Karsten Harries and has been published by CUA Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-07 with Philosophy categories.

This is the first commentary to have been written on Nicholas of Cusa's most famous work, On Learned Ignorance. This fact testifies to the difficulty of what has long been recognized to be the most significant philosophical text produced by the Renaissance. While there are many passages in the work that can be cited in support of Cassirer's celebration of Cusanus as the first modern philosopher, that judgment is challenged by the way his work is rooted in a faith and a tradition likely to strike us as thoroughly medieval. This commentary shows how closely the two are linked. Despite the many ways in which what the cardinal has to say belongs to a past that the progress of reason would seem to have left irrecoverably behind, it yet provides us with a continuing challenge. Key to On Learned Ignorance is the incommensurability of the infinite and the finite, of God and creation. Cusanus lets us recognize the essential transcendence of reality, so different from the ontology implied by Descartes' insistence on clear and distinct understanding, which has presided over the progress of science and has helped shape our world. What makes Cusanus’ thought important is not the way it anticipates modernity, but the way it challenges often taken-for-granted presuppositions of our worldview, most importantly a distinctly modern self-assertion or self-elevation that has made our human reason the measure of reality. If it is impossible to deny the countless ways in which our science and technology have given us ever deeper insights into the mysteries of nature and improved our lives, it is equally impossible to deny that this very progress today endangers this fragile earth and the quality of our lives. Cusanus can help us preserve our humanity.