Mathematics And The Search For Knowledge PDF Download
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Author | : Morris Kline |
Publisher | : Oxford University Press, USA |
Total Pages | : 270 |
Release | : 1985-07-18 |
Genre | : Mathematics |
ISBN | : 0198020619 |
Download Mathematics and the Search for Knowledge Book in PDF, ePub and Kindle
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.
Author | : Morris Kline |
Publisher | : |
Total Pages | : 0 |
Release | : 2009 |
Genre | : Mathematics |
ISBN | : 9781435108479 |
Download Mathematics, the Loss of Certainty Book in PDF, ePub and Kindle
Author | : Tim Rowland |
Publisher | : Springer Science & Business Media |
Total Pages | : 300 |
Release | : 2011-01-06 |
Genre | : Education |
ISBN | : 904819766X |
Download Mathematical Knowledge in Teaching Book in PDF, ePub and Kindle
The quality of primary and secondary school mathematics teaching is generally agreed to depend crucially on the subject-related knowledge of the teacher. However, there is increasing recognition that effective teaching calls for distinctive forms of subject-related knowledge and thinking. Thus, established ways of conceptualizing, developing and assessing mathematical knowledge for teaching may be less than adequate. These are important issues for policy and practice because of longstanding difficulties in recruiting teachers who are confident and conventionally well-qualified in mathematics, and because of rising concern that teaching of the subject has not adapted sufficiently. The issues to be examined in Mathematical Knowledge in Teaching are of considerable significance in addressing global aspirations to raise standards of teaching and learning in mathematics by developing more effective approaches to characterizing, assessing and developing mathematical knowledge for teaching.
Author | : Morris Kline |
Publisher | : Courier Corporation |
Total Pages | : 514 |
Release | : 2012-03-15 |
Genre | : Mathematics |
ISBN | : 0486136310 |
Download Mathematics and the Physical World Book in PDF, ePub and Kindle
Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations, and non-Euclidean geometries. Also describes how math is used in optics, astronomy, and other phenomena.
Author | : Philip Kitcher |
Publisher | : Oxford University Press, USA |
Total Pages | : 300 |
Release | : 1984 |
Genre | : Electronic books |
ISBN | : 0195035410 |
Download The Nature of Mathematical Knowledge Book in PDF, ePub and Kindle
This book argues against the view that mathematical knowledge is a priori, contending that mathematics is an empirical science and develops historically, just as natural sciences do. Kitcher presents a complete, systematic, and richly detailed account of the nature of mathematical knowledge and its historical development, focusing on such neglected issues as how and why mathematical language changes, why certain questions assume overriding importance, and how standards of proof are modified.
Author | : Jennifer M. Bay-Williams |
Publisher | : Corwin |
Total Pages | : 265 |
Release | : 2021-03-02 |
Genre | : Education |
ISBN | : 1071818430 |
Download Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8 Book in PDF, ePub and Kindle
Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. Real fluency involves reasoning and creativity, and it varies by the situation at hand. Figuring Out Fluency in Mathematics Teaching and Learning offers educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. In a friendly and accessible style, this hands-on guide empowers educators to support students in acquiring the repertoire of reasoning strategies necessary to becoming versatile and nimble mathematical thinkers. It includes: "Seven Significant Strategies" to teach to students as they work toward procedural fluency. Activities, fluency routines, and games that encourage learning the efficiency, flexibility, and accuracy essential to real fluency. Reflection questions, connections to mathematical standards, and techniques for assessing all components of fluency. Suggestions for engaging families in understanding and supporting fluency. Fluency is more than a toolbox of strategies to choose from; it’s also a matter of equity and access for all learners. Give your students the knowledge and power to become confident mathematical thinkers.
Author | : Peter Liljedahl |
Publisher | : Corwin Press |
Total Pages | : 454 |
Release | : 2020-09-28 |
Genre | : Education |
ISBN | : 1544374844 |
Download Building Thinking Classrooms in Mathematics, Grades K-12 Book in PDF, ePub and Kindle
A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.
Author | : Mary Leng |
Publisher | : Oxford University Press, USA |
Total Pages | : 199 |
Release | : 2007-11-15 |
Genre | : Language Arts & Disciplines |
ISBN | : 0199228248 |
Download Mathematical Knowledge Book in PDF, ePub and Kindle
What is the nature of mathematical knowledge? Is it anything like scientific knowledge or is it sui generis? How do we acquire it? Should we believe what mathematicians themselves tell us about it? Are mathematical concepts innate or acquired? Eight new essays offer answers to these and many other questions. Written by some of the world's leading philosophers of mathematics, psychologists, and mathematicians, Mathematical Knowledge gives a lively sense of the current state of debate in this fascinating field.
Author | : Paul Ernest |
Publisher | : Routledge |
Total Pages | : 295 |
Release | : 2012-10-12 |
Genre | : Education |
ISBN | : 1136364722 |
Download Constructing Mathematical Knowledge Book in PDF, ePub and Kindle
First published in 1994. This book and its companion volume, Mathematics, Education and Philosophy: An International Perspective are edited collections. Instead of the sharply focused concerns of the research monograph, the books offer a panorama of complementary and forward-looking perspectives. They illustrate the breadth of theoretical and philosophical perspectives that can fruitfully be brough to bear on the mathematics and education. The empathise of this book is on epistemological issues, encompassing multiple perspectives on the learning of mathematics, as well as broader philosophical reflections on the genesis of knowledge. It explores constructivist and social theories of learning and discusses the rile of the computer in light of these theories.
Author | : National Research Council |
Publisher | : National Academies Press |
Total Pages | : 53 |
Release | : 2002-07-31 |
Genre | : Education |
ISBN | : 0309131987 |
Download Helping Children Learn Mathematics Book in PDF, ePub and Kindle
Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.