sábado, 10 de outubro de 2009
Teaching Mathematical Reasoning in Secondary School Classrooms
(Mathematics Teacher Education)
Karin Brodie
Springer | 2009 | 225 páginas | pdf | 2,39 Mb
mediafire.com
pdf | 3 Mb
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Descrição: For too many students, mathematics consists of facts in a vacuum, to be memorized because the instructor says so, and to be forgotten when the course of study is completed. In this all-too-common scenario, young learners often miss the chance to develop skills—specifically, reasoning skills—that can serve them for a lifetime. The elegant pages of Teaching Mathematical Reasoning in Secondary School Classrooms propose a more positive solution by presenting a reasoning- and discussion-based approach to teaching mathematics, emphasizing the connections between ideas, or why math works. The teachers whose work forms the basis of the book create a powerful record of methods, interactions, and decisions (including dealing with challenges and impasses) involving this elusive topic. And because this approach shifts the locus of authority from the instructor to mathematics itself, students gain a system of knowledge that they can apply not only to discrete tasks relating to numbers, but also to the larger world of people and the humanities.A sampling of the topics covered:Whole-class discussion methods for teaching mathematics reasoning.Learning mathematical reasoning through tasks.Teaching mathematics using the five strands.Classroom strategies for promoting mathematical reasoning.Maximizing student contributions in the classroom.Overcoming student resistance to mathematical conversations.Teaching Mathematical Reasoning in Secondary School Classrooms makes a wealth of cutting-edge strategies available to mathematics teachers and teacher educators. This book is an invaluable resource for researchers in mathematics and curriculum reform and of great interest to teacher educators and teachers.
Brown Paper School book: Math for Smarty Pants
Geometry for Every Kid
Janice VanCleave
Pustak Mahal | 1995 | 224 páginas | pdf | 1,9 Mb
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Descrição: This book uses simple problems, and activities to let the kids feel comfortable with geometry.
Each activity is broken down into step-by-step instructions, expected results and explanations, that kids can understand. All could be performed safely and cheaply in the classroom or at home.
Pustak Mahal | 1995 | 224 páginas | pdf | 1,9 Mb
link
link1
Descrição: This book uses simple problems, and activities to let the kids feel comfortable with geometry.
Each activity is broken down into step-by-step instructions, expected results and explanations, that kids can understand. All could be performed safely and cheaply in the classroom or at home.
sexta-feira, 9 de outubro de 2009
Architecture of Modern Mathematics: Essays in History and Philosophy
José Ferreirós Domínguez; Jeremy GrayOxford University Press, USA | 2006 | 204 páginas | PDF | 1,8 Mb
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rar - pdf | 1,93 Mb
mediafire.com
Descrição: This edited volume, aimed at both students and researchers in philosophy, mathematics and history of science, highlights leading developments in the overlapping areas of philosophy and the history of modern mathematics. It is a coherent, wide ranging account of how a number of topics in the
philosophy of mathematics must be reconsidered in the light of the latest historical research and how a number of historical accounts can be deepened by embracing philosophical questions.
Figures of Thought: Mathematics and Mathematical Texts
David Reed
Routledge | 1994 | 208 páginas | 1,82 Mb
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Descrição: Figures of Thought looks at how mathematical works can be read as texts and examines their textual strategies. David Reed offers the first sustained and critical attempt to find a consistent argument or narrative thread in mathematical texts.
Reed selects mathematicians from a range of historical periods and compares their approaches to organizing and arguing texts, using an extended commentary on Euclid's Elements as a central structuring framework. He develops fascinating interpretations of mathematicians' work throughout history, from Descartes to Hilbert, Kronecker, Dedekind, Weil and Grothendieck. Reed traces the implications of this approach to the understanding of the history and development of mathematics.
Routledge | 1994 | 208 páginas | 1,82 Mb
link
Descrição: Figures of Thought looks at how mathematical works can be read as texts and examines their textual strategies. David Reed offers the first sustained and critical attempt to find a consistent argument or narrative thread in mathematical texts.
Reed selects mathematicians from a range of historical periods and compares their approaches to organizing and arguing texts, using an extended commentary on Euclid's Elements as a central structuring framework. He develops fascinating interpretations of mathematicians' work throughout history, from Descartes to Hilbert, Kronecker, Dedekind, Weil and Grothendieck. Reed traces the implications of this approach to the understanding of the history and development of mathematics.
A to Z of Mathematicians
(Notable Scientists)McElroy Tucker
Facts on File | 2004 | 308 páginas | pdf | 3,35 Mb
It is difficult to evaluate contemporary mathematicians without the benefit of a retrospective viewpoint, separated by several decades. This comprehensive single-volume A-to-Z reference covers both the past and present scientists who have significantly contributed to the field of mathematics. Including all of the central mathematicians, as well as other lesser-known persons in the field who made serious contributions, this inclusive reference covers the major areas of algebra, analysis, geometry, and foundational statisticians.
Special features include indexes by field of specialization, nationality, and subject area; a helpful bibliography; and appendixes listing the mathematicians covered by country of birth, country of work, field of specialization, nationality, and subject area. Covering notable mathematicians from antiquity to the present, this is an ideal reference for middle and high school students.
Special features include indexes by field of specialization, nationality, and subject area; a helpful bibliography; and appendixes listing the mathematicians covered by country of birth, country of work, field of specialization, nationality, and subject area. Covering notable mathematicians from antiquity to the present, this is an ideal reference for middle and high school students.
Entries include:
- Archimedes of Syracuse
- Georg Cantor
- René Descartes
- Euclid
- Leonhard Euler
- Fibonacci
- Carl Friedrich Gauss
- Kurt Gödel
- David Hilbert
- Pythagoras
- Srinivasa Aaiyangar Ramanujan
- (George Friedrich) Bernhard Riemann
- Brook Taylor
- John Von Neumann
- Zeno of Elea
- and more.
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