Handbook of Research Design in Mathematics and Science Education

Handbook of Research Design in Mathematics and Science Education PDF Author: Anthony Edward Kelly
Publisher: Routledge
ISBN: 1135705828
Category : Education
Languages : en
Pages : 984

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Book Description
The Handbook of Research Design in Mathematics and Science Education is based on results from an NSF-supported project (REC 9450510) aimed at clarifying the nature of principles that govern the effective use of emerging new research designs in mathematics and science education. A primary goal is to describe several of the most important types of research designs that: * have been pioneered recently by mathematics and science educators; * have distinctive characteristics when they are used in projects that focus on mathematics and science education; and * have proven to be especially productive for investigating the kinds of complex, interacting, and adapting systems that underlie the development of mathematics or science students and teachers, or for the development, dissemination, and implementation of innovative programs of mathematics or science instruction. The volume emphasizes research designs that are intended to radically increase the relevance of research to practice, often by involving practitioners in the identification and formulation of the problems to be addressed or in other key roles in the research process. Examples of such research designs include teaching experiments, clinical interviews, analyses of videotapes, action research studies, ethnographic observations, software development studies (or curricula development studies, more generally), and computer modeling studies. This book's second goal is to begin discussions about the nature of appropriate and productive criteria for assessing (and increasing) the quality of research proposals, projects, or publications that are based on the preceding kind of research designs. A final objective is to describe such guidelines in forms that will be useful to graduate students and others who are novices to the fields of mathematics or science education research. The NSF-supported project from which this book developed involved a series of mini conferences in which leading researchers in mathematics and science education developed detailed specifications for the book, and planned and revised chapters to be included. Chapters were also field tested and revised during a series of doctoral research seminars that were sponsored by the University of Wisconsin's OERI-supported National Center for Improving Student Learning and Achievement in Mathematics and Science. In these seminars, computer-based videoconferencing and www-based discussion groups were used to create interactions in which authors of potential chapters served as "guest discussion leaders" responding to questions and comments from doctoral students and faculty members representing more than a dozen leading research universities throughout the USA and abroad. A Web site with additional resource materials related to this book can be found at http://www.soe.purdue.edu/smsc/lesh/ This internet site includes directions for enrolling in seminars, participating in ongoing discussion groups, and submitting or downloading resources which range from videotapes and transcripts, to assessment instruments or theory-based software, to publications or data samples related to the research designs being discussed.

Philosophy of Mathematics and Natural Science

Philosophy of Mathematics and Natural Science PDF Author: Hermann Weyl
Publisher: Princeton University Press
ISBN: 9780691141206
Category : Mathematics
Languages : en
Pages : 338

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Book Description
History of mathematics.

Mathematics And The Natural Sciences: The Physical Singularity Of Life

Mathematics And The Natural Sciences: The Physical Singularity Of Life PDF Author: Giuseppe Longo
Publisher: World Scientific
ISBN: 1908977795
Category : Science
Languages : en
Pages : 337

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Book Description
This book identifies the organizing concepts of physical and biological phenomena by an analysis of the foundations of mathematics and physics. Our aim is to propose a dialog between different conceptual universes and thus to provide a unification of phenomena. The role of “order” and symmetries in the foundations of mathematics is linked to the main invariants and principles, among them the geodesic principle (a consequence of symmetries), which govern and confer unity to various physical theories. Moreover, an attempt is made to understand causal structures, a central element of physical intelligibility, in terms of both symmetries and symmetry breakings. A distinction between the principles of (conceptual) construction and of proofs, both in physics and in mathematics, guides most of the work.The importance of mathematical tools is also highlighted to clarify differences in the models for physics and biology that are proposed by continuous and discrete mathematics, such as computational simulations.Since biology is particularly complex and not as well understood at a theoretical level, we propose a “unification by concepts” which in any case should precede mathematization. This constitutes an outline for unification also based on highlighting conceptual differences, complex points of passage and technical irreducibilities of one field to another. Indeed, we suppose here a very common monist point of view, namely the view that living objects are “big bags of molecules”. The main question though is to understand which “theory” can help better understand these bags of molecules. They are, indeed, rather “singular”, from the physical point of view. Technically, we express this singularity through the concept of “extended criticality”, which provides a logical extension of the critical transitions that are known in physics. The presentation is mostly kept at an informal and conceptual level./a

Mosquito

Mosquito PDF Author: Andrew Spielman
Publisher:
ISBN: 9780571209804
Category : Diseases
Languages : en
Pages : 247

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Book Description
'Consider the most common mosquito on Earth. This soft, little, dusty-brown insect is Culex Pipiens. You've seen her land on your arm. You have caught her just at the end of her feeding, her translucent belly swelling red with your very own blood. At such a moment, you can be forgiven for failing to notice what an elegant and hardy thing she is. But she is . . . ' No creature has touched directly the lives of more human beings than the mosquito. She has been a nuisance, a pollinator of plants and an angel of death all over the globe. And throughout history, much of our trouble with the mosquito has been caused by man himself. Professor Andrew Spielman has dedicated his life to understanding this insect. In Mosquito he tells the story of man's struggle to live with the mosquito, from the defeat of Sir Francis Drake's fleet, to the death of thousands of Frenchmen working on the Panama Canal and to the recent panic over the West Nile Virus in New York. And he shows us how we have accelerated the spread of disease, describing the catastrophic failures of mosquito control which have ensured that - even now - one person dies of malaria every twelve seconds.

Mathematics for the Nonmathematician

Mathematics for the Nonmathematician PDF Author: Morris Kline
Publisher: Courier Corporation
ISBN: 0486316130
Category : Mathematics
Languages : en
Pages : 676

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Book Description
Erudite and entertaining overview follows development of mathematics from ancient Greeks to present. Topics include logic and mathematics, the fundamental concept, differential calculus, probability theory, much more. Exercises and problems.

The Nature-study Review

The Nature-study Review PDF Author:
Publisher:
ISBN:
Category : Nature study
Languages : en
Pages : 348

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Book Description


The Nature-study Review

The Nature-study Review PDF Author: Maurice Alpheus Bigelow
Publisher:
ISBN:
Category : Nature study
Languages : en
Pages : 708

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Book Description


Calculus

Calculus PDF Author: Morris Kline
Publisher: Courier Corporation
ISBN: 0486134768
Category : Mathematics
Languages : en
Pages : 962

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Book Description
Application-oriented introduction relates the subject as closely as possible to science with explorations of the derivative; differentiation and integration of the powers of x; theorems on differentiation, antidifferentiation; the chain rule; trigonometric functions; more. Examples. 1967 edition.

Research and Development in University Mathematics Education

Research and Development in University Mathematics Education PDF Author: Viviane Durand-Guerrier
Publisher: Routledge
ISBN: 1000369285
Category : Education
Languages : en
Pages : 249

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Book Description
In the last thirty years or so, the need to address the challenges of teaching and learning mathematics at university level has become increasingly appreciated by university mathematics teachers, and beyond, by educational institutions around the world. Indeed, mathematics is both a condition and an obstacle to success for students in many educational programmes vital to the 21st century knowledge society, for example in pure and applied mathematics, engineering, natural sciences, technology, economics, finance, management and so on. This breadth of impact of mathematics implies the urgency of developing research in university mathematics education, and of sharing results of this research widely. This book provides a bespoke opportunity for an international audience of researchers in didactics of mathematics, mathematicians and any teacher or researcher with an interest in this area to be informed about state-of-the-art developments and to heed future research agendas. This book emerged from the activities of the research project INDRUM (acronym for International Network for Didactic Research in University Mathematics), which aims to contribute to the development of research in didactics of mathematics at all levels of tertiary education, with a particular concern for the development of early-career researchers in the field and for dialogue with university mathematicians. The aim of the book is to provide a deep synthesis of the research field as it appears through two INDRUM conferences organised in 2016 and 2018. It is an original contribution which highlights key research perspectives, addresses seminal theoretical and methodological issues and reports substantial results concerning the teaching and learning of mathematics at university level, including the teaching and learning of specific topics in advanced mathematics across a wide range of university programmes.

ERIC Clearinghouse Publications

ERIC Clearinghouse Publications PDF Author:
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 80

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Book Description


Research in Education

Research in Education PDF Author:
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 1208

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Book Description