quinta-feira, 9 de abril de 2009

Powerful Pedagogy Self-Study of a Teacher Educator’s Practice

(Self-Study of Teaching and Teacher Education Practices)
Robyn Brandenburg

Springer | 2008 | 208 páginas | pdf | 545 kb

link

Powerful Pedagogy: Self-Study of a Teacher Educator’s Practice is the outcome of the author’s systematically questioning her assumptions about teaching and, in various ways, gives voice to the many individuals who have had an impact on the development of the author’s pedagogy as a mathematics teacher educator. Using self-study as both a lens and a methodology to research her practice over the past three years, the author examines the impact of reflection and reflective practice in pre-service teacher education; voice, silence and that which remains "unsaid"; the ways in which teacher identities emerge and develop, and the role of authority and power in learning about teaching. Pedagogy refers to the synergistic relationship which exists between learning and teaching - one informs and is impacted by the other. For me then, Powerful Pedagogy reflects the need to see teaching in new ways and to do so by placing inquiry at the centre of learning about the intricacies of teaching about teaching. Powerful Pedagogy is a "how-to-see-teaching-differently" book; one which identifies and raises for scrutiny and critique, the markers which help the learning about teaching as one attempts to enact a pedagogy of teacher education. Professor John Loughran, Foundation Chair, Curriculum & Professional Practice Associate Dean Faculty of Education Monash University


Algebra and Trigonometry: Graphs and Models Graphing

3 Ed.
Marvin L. Bittinger, Judith A. Beecher, David J. Ellenbogen, Judith A. Penna

Addison Wesley | 2005-03-12 | ISBN: 0321292642 | 1056 pages | PDF | 14,9 MB

Anos de escolaridade: secundário

Nenhum link disponível


With a visual, graphical approach that emphasizes connections among concepts, this text helps readers make the most of their study time. The authors show how different mathematical ideas are tied together through their zeros, solutions, and x-intercepts theme; side-by-side algebraic and graphical solutions; calculator screens; and examples and exercises. By continually reinforcing the connections among various mathematical concepts as well as different solution methods, the authors lead readers to the ultimate goal of mastery and success.

Basic Concepts of Algebra. Graphs, Functions, and Models. Functions, Equations, and Inequalities. Polynomial and Rational Functions. Exponential and Logarithmic Functions. The Trigonometric Functions. Trigonometric Identities, Inverse Functions, and Equations. Applications of Trigonometry. Systems of Equations and Matrices. Analytic Geometry Topics. Sequences, Series, and Combinatorics.



Instructor's Solutions Manual for Algebra & Trigonometry and Precalculus,
3 Ed.
Judith A. Beecher, Judith A. Penna, Marvin L. Bittinger

Addison-Wesley | 2008 | 704 páginas | 9,68 Mb

nenhum link disponível

Geometry and Discrete Mathematics

Harcourt Mathematics 12
Peter Crippin, Donald J. Curran, Neal E. Reid, Ronald G. Dunkley, Jock MacKay

McGraw-Hill | zip-pdf | 4,7 Mb

Ano de escolaridade: 12.º ano

Precalculus with Trigonometry Concepts and Applications


Paul A. Foerster

Key Curriculum Press | 2008 | 848 páginas | rar - pdf |

Ano de escolaridade: 11.º ano

link

Edição de 2003

scribd.com

quarta-feira, 8 de abril de 2009

Secret Life of Numbers: 50 Easy Pieces on How Mathematicians Work And Think


George G. Szpiro

Joseph Henry Press | 2006 | 210 pages | rar - PDF | 559 kb

link (password: matav)

Most of us picture mathematicians laboring before a chalkboard, scribbling numbers and obscure symbols as they mutter unintelligibly. This lighthearted (but realistic) sneak-peak into the everyday world of mathematicians turns that stereotype on its head.Most people have little idea what mathematicians do or how they think. It’s often difficult to see how their seemingly arcane and esoteric work applies to our own everyday lives. But mathematics also holds a special allure for many people. We are drawn to its inherent beauty and fascinated by its complexity—but often intimidated by its presumed difficulty. The Secret Life of Numbers opens our eyes to the joys of mathematics, introducing us to the charming, often whimsical side, of the discipline. Divided into several parts, the book looks at interesting and largely unknown historical tidbits, introduces the largerthan- life practitioners of mathematics through the ages, profiles some of the most significant unsolved conjectures, and describes problems and puzzles that have already been solved. Rounding out the table of contents is a host of mathematical miscellany—all of which add up to 50 fun, sometimes cheeky, shorttakes on the field. Chock full of stories, anecdotes, and entertaining vignettes, The Secret Life of Numbers shows us how mathematics really does affect almost every aspect of life—from the law to geography, elections to botany—and we come to appreciate the delight and gratification that mathematics holds for all of us.

Contents
Preface xi
PART I - HISTORICAL TIDBITS
1 Lopping Leap Years 3
2 Is the World Coming to an End Soon? 6
3 Cozy Zurich 8
4 Daniel Bernoulli and His Difficult Family 11
PART II - UNSOLVED CONJECTURES
5 The Mathematicians’ Million Dollar Baby 17
6 A Puzzle by Any Other Name 20
7 Twins, Cousins, and Sexy Primes 24
8 Hilbert’s Elusive Problem Number 16 27
PART III - SOLVED PROBLEMS
9 The Tile Layer’s Efficiency Problem 33
10 The Catalanian Rabbi’s Problem 37
11 Even Infinite Series End Sometimes 40
12 Proving the Proof 43
13 Has Poincaré’s Conjecture Finally Been Solved? 48
PART IV - PERSONALITIES
14 Late Tribute to a Tragic Hero 55
15 The Unpaid Professor 59
16 Genius from a Different Planet 61
17 The Resurrection of Geometry 66
18 God’s Gift to Science? 69
19 Vice-President of Imagineering 75
20 The Demoted Pensioner 80
21 A Grand Master Becomes Permanent Visiting Professor 85
PART V - CONCRETE AND ABSTRACT MATTERS
22 Knots and “Unknots” 93
23 Knots and Tangles with Real Ropes 97
24 Small Mistakes May Have Large Consequences 102
25 Ignorant Gamblers 106
26 Tetris Is Hard 109
27 Groups, Monster Groups, and Baby Monsters 112
28 Fermat’s Incorrect Conjecture 116
29 The Crash of Catastrophe Theory 119
30 Deceptive Simplicity 122
31 The Beauty of Dissymmetry 125
32 Random and Not So Random 128
33 How Can One Be Sure It’s Prime? 132
PART VI - INTERDISCIPLINARY POTPOURRI
34 A Mathematician Judges the Judges (Law) 137
35 Elections Aren’t Decided by the Voters Alone (Political Science) 140
36 A Dollar Isn’t Always Worth a Dollar (Insurance) 146
37 Compressing the Divine Comedy (Linguistics) 149
38 Nature’s Fundamental Formula (Botany) 155
39 Stacking Words Like Oranges and Tomatoes (Computer Science) 158
40 The Fractal Dimension of Israel’s Security Barrier (Geography) 161
41 Calculated in Cold Ice (Physics) 164
42 Built on Sand (Physics) 167

43 Buzzing Around Corners (Biology) 170
44 Inexperienced Traders Make the Market Efficient (Economics) 172
45 The Waggle Dance of Internet Servers (Computer Science, Biology) 175
46 Turbulent Liquids and Stock Markets (Finance, Economics) 178
47 Encrypting Messages with Candles and Hot Plates (Cryptography) 180
48 Fighting for Survival (Evolutionary Theory, Finance) 184
49 Insults Stink (Neurosciences, Economics) 187
50 Bible Codes: The Not So Final Report (Theology) 190
References 195

Index 199

The Principles of Mathematics


Bertrand Russell

W. W. Norton & Company | 1996 | 534 páginas |

online: fair-use.org

University press | 1903

online: archive.org

PDF
scribd.com

djvu - 9 Mb - link

The Search for Truth

Eric Temple Bell

The Williams & Wilkins Company | 1934 | 291 páginas | Djvu | 2,16 Mb

link
link1

Contents: Looking Forward; Case Histories; The Great Pyramid; The Ancient Cambodians; The Infant Prodigy; The Treaty of Croton; Paralyzed and Petrified; Through the Tunnel; Bogged; Escape; Heathen Gods; Science and Religiosity; Old Clo'; The Great Emancipator; The Fourth Dimension; The Last Idol; Retrospect; and The Priesthood of Science.