Mathematics And The Search For Knowledge

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Mathematics And The Search For Knowledge

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Author : Morris Kline
language : en
Publisher: Oxford University Press, USA
Release Date : 1985-07-18

Mathematics And The Search For Knowledge written by Morris Kline and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-07-18 with Mathematics categories.

Requires a minimum of technical knowledge and gives an illuminating oversight of the historical developments...with many interesting observations along the way.--Proceedings of the Edinburgh Mathematical Society The lively writing makes this suitable supplementary reading for advanced undergraduates from many disciplines. An extensive and often technical bibliography is included for those who want to go further.

Mathematics And The Search For Knowledge

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Author : Morris Kline
language : en
Publisher:
Release Date : 1985

Mathematics And The Search For Knowledge written by Morris Kline and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Knowledge, Theory of categories.

Mathematics The Loss Of Certainty

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Author : Morris Kline
language : en
Publisher:
Release Date : 2009

Mathematics The Loss Of Certainty written by Morris Kline and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.

How To Enhance Your Mathematics Subject Knowledge Number And Algebra For Secondary Teachers

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Author : Jemma Sherwood
language : en
Publisher: Oxford University Press - Children
Release Date : 2018-07-12

How To Enhance Your Mathematics Subject Knowledge Number And Algebra For Secondary Teachers written by Jemma Sherwood and has been published by Oxford University Press - Children this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-12 with Education categories.

Written by an award-winning teacher, this guide equips teachers with the depth of knowledge they need to talk confidently and competently about maths to students of all attainment levels - in short, to be an expert in secondary-level mathematical concepts, regardless of how recently they studied themselves, or their own subject specialism. How To Enhance Your Mathematics Subject Knowledge: - Explores a broad range of the trickiest concepts and misconceptions in the number and algebra topics of secondary maths - Packed with diagrams and questions to allow readers to check their own understanding of concepts - Supports a mastery approach by laying bare the underlying architecture in Secondary maths, giving teachers the confidence to pass on that understanding to their students - Builds on teachers' knowledge and experience, supporting them in answering those awkward but brilliant questions that crop up in class.

Mathematics Education As A Research Domain A Search For Identity

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Author : Anna Sierpinska
language : en
Publisher: Springer
Release Date : 2013-03-14

Mathematics Education As A Research Domain A Search For Identity written by Anna Sierpinska and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Education categories.

No one disputes how important it is, in today's world, to prepare students to un derstand mathematics as well as to use and communicate mathematics in their future lives. That task is very difficult, however. Refocusing curricula on funda mental concepts, producing new teaching materials, and designing teaching units based on 'mathematicians' common sense' (or on logic) have not resulted in a better understanding of mathematics by more students. The failure of such efforts has raised questions suggesting that what was missing at the outset of these proposals, designs, and productions was a more profound knowledge of the phenomena of learning and teaching mathematics in socially established and culturally, politically, and economically justified institutions - namely, schools. Such knowledge cannot be built by mere juxtaposition of theories in disci plines such as psychology, sociology, and mathematics. Psychological theories focus on the individual learner. Theories of sociology of education look at the general laws of curriculum development, the specifics of pedagogic discourse as opposed to scientific discourse in general, the different possible pedagogic rela tions between the teacher and the taught, and other general problems in the inter face between education and society. Mathematics, aside from its theoretical contents, can be looked at from historical and epistemological points of view, clarifying the genetic development of its concepts, methods, and theories. This view can shed some light on the meaning of mathematical concepts and on the difficulties students have in teaching approaches that disregard the genetic development of these concepts.

Mathematics For The Nonmathematician

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Author : Morris Kline
language : en
Publisher: Courier Corporation
Release Date : 2013-04-15

Mathematics For The Nonmathematician written by Morris Kline and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-15 with Mathematics categories.

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.

Knowledge Spaces

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Author : Jean-Paul Doignon
language : en
Publisher: Springer
Release Date : 1999

Knowledge Spaces written by Jean-Paul Doignon and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Computers categories.

Knowledge spaces offer a rigorous mathematical foundation for various practical systems of knowledge assessment. An example is offered by the ALEKS system (Assessment and LEarning in Knowledge Spaces), a software for the assessment of mathematical knowledge. From a mathematical standpoint, knowledge spaces generalize partially ordered sets. They are investigated both from a combinatorial and a stochastic viewpoint. The results are applied to real and simulated data. The book gives a systematic presentation of research and extends the results to new situations. It is of interest to mathematically oriented readers in education, computer science and combinatorics at research and graduate levels. The text contains numerous examples and exercises and an extensive bibliography.

Mathematics Mathematics Education Searching For Common Ground

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Author : Michael N. Fried
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-29

Mathematics Mathematics Education Searching For Common Ground written by Michael N. Fried and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-29 with Education categories.

This book is the fruit of a symposium in honor of Ted Eisenberg concerning the growing divide between the mathematics community and the mathematics education community, a divide that is clearly unhealthy for both. The work confronts this disturbing gap by considering the nature of the relationship between mathematics education and mathematics, and by examining areas of commonality as well as disagreement. It seeks to provide insight into the mutual benefit both stand to gain by building bridges based on the natural bonds between them.

Mathematics Education As A Research Domain

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Author : Anna Sierpinska
language : en
Publisher: Springer Science & Business Media
Release Date : 1998

Mathematics Education As A Research Domain written by Anna Sierpinska and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.

I: The ICMI Study Conference.- Discussion Document.- List of Participants.- What is the Specific Object of Study in Mathematics Education? Report of Working Group 1.- What are the Aims of Research in Mathematics Education? Report of Working Group 2.- What are the Specific Research Questions or Problématiques of Research in Mathematics Education? Report of Working Group 3.- What are the Results of Research in Mathematics Education? Report of Working Group 4.- What Criteria Should Be Used to Evaluate the Results of Research in Mathematics Education? Report of Working Group 5.- Research, Effectiveness, and the Practitioners' World.- II: Mathematics Education as a Research Discipline.- A Glance Over the Evolution of Research in Mathematics Education.- Balancing Complex Human Worlds: Mathematics Education as an Emergent Discipline in its Own Right.- A Postmodern Perspective on Research in Mathematics Education.- Mathematics Education as a 'Design Science'.- What is Mathematics Education? A Survey of Mathematics Educators in Canada.- Programs for the Education of Researchers in Mathematics Education.- III: Goals, Orientations and Results of Research in Mathematics Education.- The Aims of Research.- Aiming Research Toward Understanding: Lessons We Can Learn From Children.- Transforming the International Mathematics Education Research Agenda.- Clarifying the Meaning of Mathematical Objects as a Priority Area for Research in Mathematics Education.- Research and Results in Mathematics Education: Some Contradictory Aspects.- Models in Mathematics Education Research: A Broader View of Research Results.- Towards a Cognitive Theory of Practice.

Mathematical Knowledge Management

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Author : Jonathan Borwein
language : en
Publisher: Springer
Release Date : 2006-09-30

Mathematical Knowledge Management written by Jonathan Borwein and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-30 with Computers categories.

This book constitutes the refereed proceedings of the 5th International Conference on Mathematical Knowledge Management, MKM 2006, held in Wokingham, UK, August 2006. The book presents 22 revised full papers. Coverage extends to the mathematical knowledge management at the intersection of mathematics, computer science, library science, and scientific publishing. The papers are organized in topical sections on proof representations, proof processing, knowledge extraction, knowledge representation, as well as systems and tools.