Moebius Noodles: Adventurous Math for the Playground Crowd

Yelena McManaman, Maria Droujkova, e Ever Salazar

Delta Stream Media | 2013 | 96 páginas | rar -epub | 3,3 Mb

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How do you want your child to feel about math? Confident, curious and deeply connected? Then Moebius Noodles is for you. It offers advanced math activities to fit your child's personality, interests, and needs. Can you enjoy playful math with your child? Yes! The book shows you how to go beyond your own math limits and anxieties to do so. It opens the door to a supportive online community that will answer your questions and give you ideas along the way. Learn how you can create an immersive rich math environment for your baby. Find out ways to help your toddler discover deep math in everyday experiences. Play games that will develop your child's sense of happy familiarity with mathematics. A five-year-old once asked us, "Who makes math?" and jumped for joy at the answer, "You!" Moebius Noodles helps you take small, immediate steps toward the sense of mathematical power. You and your child can make math your own. Together, make your own math!

Table of Contents
Why Play This Book
Questions & Answers 
Symmetry
Live 
Mirror
Double Doodle Zoo
Mirror Book
Special Snowflake
Two-hand Mirror Drawing 
Number
One-two-three and More
SuperAutoSimilarlyFractoalidocious
The Big Hunt for Quantities
Real Multiplication Tables 
Function
Function Machine
Walk Around in Circles
New Functions from Old
Silly Robot 
Grid
Make Your Own Grids
Grids and Chimeras
The Three Bears and the Middle Way
Multiplication Towers
Covariance Monsters 
Glossary

The Myth of Ability: Nurturing Mathematical Talent in Every Child

John Mighton

House of Anansi Press | 2007 | 216 páginas | rar - epub | 4,5 Mb

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For decades teachers and parents have accepted the judgment that some students just aren’t good at math. John Mighton—the founder of a revolutionary math program designed to help failing math students—feels that not only is this wrong, but that it has become a self-fulfilling prophecy.
A pioneering educator, Mighton realized several years ago that children were failing math because they had come to believe they were not good at it. Once students lost confidence in their math skills and fell behind, it was very difficult for them to catch up, particularly in the classroom. He knew this from experience, because he had once failed math himself.
Using the premise that anyone can learn math and anyone can teach it, Mighton’s unique teaching method isolates and describes concepts so clearly that students of all skill levels can understand them. Rather than fearing failure, students learn from and build on their own successes and gain the confidence and self-esteem they need to be inspired to learn. Mighton’s methods, set forth in The Myth of Ability and implemented in hundreds of Canadian schools, have had astonishing results: Not only have they helped children overcome their fear of math, but the resulting confidence has led to improved reading and motor skills as well.
The Myth of Ability will transform the way teachers and parents look at the teaching of mathematics and, by extension, the entire process of education.

Contents
I: How JUMP started
1. A series of fortunate events
2. Myths about math
3. Copying, counting, and comparing
4. The failure of failure
5. Breaking the cycle of ignorance
II: The JUMP method
6. Fractions
7. Multiplication and division
8. Coordinate systems
9. Ratios and percents
10. Logic and systematic search
11. Finite state automata.

A Fraction's Goal - Parts of a Whole

 (Math Is Categorical)

 Brian P. Cleary e Brian Gable

Lerner Publishing Group | 2013 | 36 páginas | rar - pdf | 6,7 Mb

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In this fun-filled look at fractions, Brian P. Cleary and Brian Gable demonstrate how fractions work by splitting whole objects into parts. The comical cats of the wildly popular Words Are CATegorical® series divide everything from pieces of pizza to groups of people into halves, thirds, tenths, and more. Peppy rhymes, goofy illustrations, and kid-friendly examples take the fear out of fractions.

100 Commonly Asked Questions in Math Class: Answers That Promote Mathematical Understanding, Grades 6-12

Alfred S. (Steven) Posamentier, William L. Farber, Terri L. (Lynn) Germain-Williams e Elaine S. Paris

Corwin | 2013 | 232 páginas | rar - epub | 2,23 Mb

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100 ways to get students hooked on math!

That one question got you stumped? Or maybe you have the answer, but it’s not all that compelling. Al Posamentier and his coauthors to the rescue with this handy reference containing fun answers to students’100 most frequently asked math questions. Even if you already have the answers, Al’s explanations are certain to keep kids hooked.

• Teach to the Common Core’s math content standards

• Promote inquiry and process in mathematical thinking

• Build procedural skills and conceptual understanding

• Encourage flexibility in problem solving

• Emphasize efficient test-taking strategies

Contents
Introduction
Chapter One   General Questions
1. Why do I have to learn mathematics?
2. Is there a language connection between mathematical terms and common English words?
3. How many leaves are on a tree?
4. Why do we have to learn about the history of mathematics?
5. Who introduced the Hindu-Arabic numbers to the Western world, and when?
6. What are the three famous problems of antiquity?
7. What are the Fibonacci numbers?
8. What is the golden ratio?
9. Is there a smallest number, and is there a largest number?
10. Why is infinity not a number?
11. How large is infinity?
12. Is there anything larger than infinity?
13. Can the union of two sets ever be equal to the intersection of the two sets?
14. How can we determine how many subsets a given set has?
15. How can we avoid making an error in a “proof” that leads to a generalization?
16. How does a calculator function?
17. Which is correct—my calculating, the calculator, or the computer?
18. What are conic sections?
19. What is a mathematical group?
20. What is a mathematical ring?
21. What is a mathematical field?
22. What are the three famous laws that Johannes Kepler discovered about planetary motion involving the ellipse?
Notes
Chapter Two   Arithmetic Questions
23. What is the difference between a number and a digit?
24. What are the differences between cardinal, ordinal, and nominal numbers?
25. What are the natural numbers, and does the number zero belong to the natural numbers?
26. How can we remember the order of operations using PEMDAS?
27. What is a fraction?
28. What is a rational number?
29. How can one convert a decimal number to a fraction?
30. What is so special about the Pascal triangle?
31. How can the product of two numbers be smaller than both of its factors?
32. If the temperature rises from 80°F to a temperature of 88°F, why is it wrong to say it became 10% warmer?
33. How do the values of the following differ: abc, (ab)c, (ab)c, abc?
34. Why is division by zero not permissible?
35. Why is x· 0 = 0?
36. What is 0!?
37. What is the largest number that can be represented in the decimal system with three digits (and without using any other symbols)?
38. What is a prime number?
39. Does the number 1 belong to the prime numbers?
40. How many prime numbers are there?
41. What is a palindrome?
42. What are successive percentages?
Notes
Chapter Three   Algebra Questions
43. Why is the product of two negative numbers positive?
44. Why must a and b be positive in order for the following to hold true?
45. Why is it advantageous to rationalize the denominator?
46. What is meant by the “absolute value” of a variable?
47. What is a variable? A term? An expression? An equation?
48. How can we have students realize that the average of rates is not simply the arithmetic mean?
49. Why does 0.99999 . . .= 1?
50. Is a road with a slope of 20% twice as steep as a road with a 10% slope?
51. Is there a number that differs from its reciprocal by 1?
52. What is a determinant, and how can it be used to solve a system of linear equations?
53. How do the arithmetic, geometric, and harmonic means compare in magnitude?
54. What is a function?
55. What is meant by the inverse of a function?
56. Can a function be equal to its inverse?
57. What is a 1–1 onto function?
58. Where does the quadratic formula come from?
59. What is a parabola?
60. How can you find the turning point of a parabola?
61. What is an ellipse?
62. What is a hyperbola?
63. When does one use the Law of Sines?
64. When does one use the Law of Cosines?
65. What is the difference between y= arccos x and y= cos–1 x?
66. What is a vector?
67. Why can a vector not be divided by a vector?
68. What is i?
69. What is e?
Notes
Chapter Four   Geometry Questions
70. Why is the diagonal of a square longer than its side?
71. How can you demonstrate that the circumference of a circle is 2πr?
72. How can you demonstrate that the area of a circle is equal to πr2?
73. Can a triangle contain two right angles?
74. Why must the sum of any two sides of a triangle be greater than the third side?
75. How do the terms “acute angle” and “obtuse angle” relate to the English language?
76. Can trigonometry be used to prove the Pythagorean theorem?
77. How is the distance formula derived?
78. How can the Pythagorean theorem be used to determine if an angle of a triangle is acute or obtuse?
79. What is a Platonic solid?
80. What is a golden rectangle?
81. What is a golden triangle?
82. From which point in a triangle is the sum of the distances to the three vertices smallest?
83. What is the sum of the distances from a point in a triangle to its three sides?
84. What is President James A. Garfield’s proof of the Pythagorean theorem?
85. What is the nine-point circle?
86. How can the Pythagorean theorem be proved by paper folding?
87. How can we prove that the sum of the measures of the angles of any triangle is 180° using paper folding?
88. What figure is created by joining the midpoints of any quadrilateral?
89. How can the concurrency of the medians of a triangle be proved in one step?
Notes
Chapter Five   Probability Questions
90. What is the fundamental principle of counting?
91. What does it mean when the probability of an event is 1? Is 0?
92. What are mutually exclusive events?
93. What is the probability of either or both of two events happening?
94. What is the difference between combinations and permutations?
95. What is the difference between correlation and causation?
96. What is the Pascal triangle?
97. What is binomial probability?
98. What is the birthday problem?
99. How can algebra help us to understand a probability question?
100. What kind of averages are batting averages?

The big benefits? You’ll discover high-interest ways to

The Abel Prize: 2003-2007 The First Five Years

Helge Holden e Ragni Piene

Springer | 2010 | 245 páginas | pdf | 2,9 Mb 

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The book presents the winners of the first five Abel Prizes in mathematics: 2003 Jean-Pierre Serre; 2004 Sir Michael Atiyah and Isadore Singer; 2005 Peter D. Lax; 2006 Lennart Carleson; and 2007 S.R. Srinivasa Varadhan.

Each laureate provides an autobiography or an interview, a curriculum vitae, and a complete bibliography. This is complemented by a scholarly description of their work written by leading experts in the field and by a brief history of the Abel Prize.

Livro relacionado

Abel prize 2008-2012 Idioma: Inglês   Editora: [S.l.] : Springer-Verlag Berlin An, 2013

Reading And Writing The World With Mathematics, Toward a Pedagogy for Social Justice

Eric Gutstein 


Routledge | 2005 | 274 páginas | pdf | 7,2 Mb

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Mathematics education in the United States can reproduce social inequalities whether schools use either "basic-skills" curricula to prepare mainly low-income students of color for low-skilled service jobs or "standards-based" curricula to ready students for knowledge-intensive positions. And working for fundamental social change and rectifying injustice are rarely included in any mathematics curriculum. Reading and Writing the World with Mathematics argues that mathematics education should prepare students to investigate and critique injustice, and to challenge, in words and actions, oppressive structures and acts. Based on teacher-research, the book provides a theoretical framework and practical examples for how mathematics educators can connect schooling to a larger sociopolitical context and concretely teach mathematics for social justice.

Contents
Series Editor’s Introduction ix
Acknowledgments xiii
Chapter 1 Social Justice, Equity, and Mathematics Education 1
Chapter 2 Education for Liberation: Toward a Framework for Teaching Mathematics for Social Justice 21
Chapter 3 Reading the World with Mathematics: Developing Sociopolitical Consciousness 39
Chapter 4 Writing the World with Mathematics: Developing a Sense of Social Agency 71
Chapter 5 The Relationship of Teaching for Social Justice and Mathematics in Context 101
Chapter 6 Co-Creating a Classroom for Social Justice: Possibilities and Challenges 129
Chapter 7 “Lucha Is What My Life Is About”: Students’ Voices on Social Justice Mathematics with Maria Barbosa, Adrián Calderón, Grisel Murillo, and Lizandra Nevárez 165
Chapter 8 “The Real World As We Have Seen It”: Parents’ Voices on Social Justice Mathematics 179
Chapter 9 Conclusion: Revisiting Mathematics Education for a Global Context 199
Notes 223
References 227
Appendix 1: Real-World Projects 237
Appendix 2: Methodology 251
Index 253

Ball of Confusion: Puzzles, Problems and Perplexing Posers

Johnny Ball

Icon Books |  2012 | 254 páginas | rar - epub |2,4 Mb

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From how to cheat in a coin toss to why it is that some parts of a high speed train travelling at 125 mph are actually going backwards, Ball of Confusion is designed to twist your brain into enjoyable knots of empuzzlement—from puzzles solved in a twinkling of an eye to some that will knit your brow for hours.

Contents

How Ball of Confusion was born …

Introduction

1: Kitchen Capers and Domestic Problems

2: ‘I Can Hear You Thinking’ Puzzles

3: Any Number of Puzzles – About Numbers

4: Easy Peasy Puzzles and Catchy Watchy Questions

5: Geometric Shape and Angle Puzzles

6: Dear Old Faves from Days Gone By

7: Even More Thoughtful Thinking Puzzles

8: Party Puzzles and Tricks to Show Off With

Answers

Bibliography

Outros livros do mesmo autor:

Why pi? por Johnny Ball Livro : Público juvenil Idioma: Inglês   Editora: New York, N.Y. : DK Pub., 2009.

Think of a number por Johnny Ball Público juvenil Idioma: Inglês   Editora: London : Dorling Kindersley, 2005.