domingo, 16 de março de 2014

Resources for Preparing Middle School Mathematics Teachers


Cheryl Beaver, Laurie Burton, Maria Fung, e Klay Kruczek, Editors

The Mathematical Association of America | 2013 | páginas | rar - pdf |2,97 Mb


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Middle school mathematics teachers occupy a unique place in the mathematical development of students. These teachers need to be proficient in all elementary mathematics topics, together with some secondary mathematics topics. They demand a special kind of preparation that differs from both that of their elementary and secondary colleagues. The Mathematics Education of Teachers (MET) document published by the Conference Board of the Mathematical Sciences set forth criteria for the preparation of mathematics middle school teachers which made it critical that special programs and courses for this group emerge.
This collection of articles is in response to the MET document and the result of several gatherings of mathematics educators and mathematicians training middle school teachers. We, the editors of this volume, under the sponsorship of the Committee on the Mathematical Education of Teachers, organized two contributed paper sessions at the Joint Mathematics Meetings entitled “Content Courses for the Mathematical Education of Middle School Teachers” in 2007 and “Curriculum Materials for Pre-service Middle School Mathematics Teachers” in 2008. We invited participants from these two sessions as well as colleagues heavily involved in the mathematics education of middle school teachers to write articles on both programs and courses.
We have chosen the articles that appear in this volume for several purposes: to disseminate various middle school programs structures, to detail methods of teaching specific middle school teachers content courses, and to share materials and resources. While each article describes the unique program or course of its respective institution, each also includes a common core of information to provide some consistency to the volume. In particular, all articles describing middle school programs contain information about the host institution, a history of the program, degree and testing requirements for the program and for state licensure, learning goals and objectives for the program and courses, and any available assessment data. When applicable information is included about particular courses, for example, some articles provide sample activities or syllabi and some have a description of courses in the appendix. Most articles have links to websites containing further information about the program, courses, state requirements, or resources that can be downloaded and used directly.
We expect that the reader of this volume will be either a faculty member who is new to the teaching of courses for middle school mathematics teachers or a seasoned teacher of pre-service teachers who is interested in trying some new approaches and perhaps starting a middle school program at his or her institution.


Contents
Preface vii
I Programs for Middle School Teachers
A. Pre-service Training Programs 1
1 Preparing Middle Grades Mathematics Teachers at Georgia College & State University
Angel R. Abney, Nancy B. Mizelle, and Janet Shiver 3
2 The Mathematics forMiddle School Teachers Program atWestern Oregon University
Cheryl Beaver, Rachel Harrington, and Klay Kruczek 15
3 Connecting Middle SchoolMathematics with CollegeMathematics: A Core ofMathematics Courses for
Middle Grade Mathematics Teachers
Ira J. Papick 23
4 The Middle School Program at the University ofWisconsin Oshkosh
Jennifer Szydlik, John Beam, Eric Kuennen, and Carol Seaman 29
5 The Master of Arts in Middle School Mathematics Program at Salem (MA) State University
Julie A. Belock 39
6 The Math in the Middle Institute: Strengthening Middle Level Teachers’ Mathematical and Pedagogical
Capacities
Ruth M. Heaton, W. James Lewis, and Wendy M. Smith 47
7 A Professional Development Program forMiddle School Math Teachers in Maryland
M. Elizabeth Mayfield and Christy Danko Graybeal 59
8 Discrete Mathematics: A Course in Problem Solving for 21st Century Middle School Teachers
Tanya Cofer, Valerie A. DeBellis, Cathy Liebars, Joseph G. Rosenstein, Bonnie Saunders, and Margaret Wirth 71
9 Guided Discovery in a Discrete Mathematics Course forMiddle School Teachers
Mary Flahive and Reva Kasman 85
10 Geometry forMiddle Grades Teachers at Northern Kentucky University
Bethany Noblitt 99
11 A Number and Algebra Course for Middle School Math Teachers
Michael Mays and David Miller 119
12 Vertically Connecting Precalculus and Calculus with Middle School Mathematics
Theresa Jorgensen 135
13 Visual College Algebra for Teachers
Laurie J. Burton and Klay T. Kruczek 143
14 Probability and Statistics for Prospective Middle Grades Teachers
Jennifer Szydlik, John Beam, Eric Kuennen, and Carol Seaman 157
15 Vermont Middle Level Mathematics Initiative: Courses and Materials for Mathematics Educators
George Ashline and Marny Frantz 169
16 Challenging Yet Accessible Mathematics Courses for Middle Level Teachers
Ruth M. Heaton, W. James Lewis, Michelle R. Homp, Steven R. Dunbar, and Wendy M. Smith 181

Why Pi?


Johnny Ball

DK CHILDREN | 2009 | 89 páginas | pdf | 42 Mb

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djvu - 8,5 Mb
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This entertaining follow-up to DK's popular Go Figure!, Why Pi?presents even more mind-bending ways to think about numbers. This time, author Johnny Ball focuses on how people have used numbers to measure things through the ages, from the ways the ancient Egyptians measured the pyramids to how modern scientists measure time and space. 
Johnny Ball has hosted more than 20 UK children's television series about math and science. He is known for making math not just easy to understand, but genuinely fun and fascinating. His shows and videos earned him a New York international EMMY nomination, a BAFTA, and 10 other awards. He has written five children's books, including DK's Go Figure!, and an educational musical. His academic credentials include three honorary science doctorates and fellowship of the British Mathematical Association


Outro livro do mesmo autor:

Math and Science for Young Children


Rosalind Charlesworth e Karen K. Lind

Cengage Learning | 2012 - 7ª edição | 658 páginas | rar - pdf | 22,5 Mb

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MATH AND SCIENCE FOR YOUNG CHILDREN, Seventh Edition, is a unique reference that focuses on the integration of math and science in early childhood education programs, while addressing other important areas of child development during the crucial birth-through-eight age range. It also carefully addresses the ever-changing and significant national standards of the following organizations: The National Association for the Education of Young Children (NAEYC), National Council of Teachers of Math (NCTM), National Science Teachers Association (NSTA), American Association for the Advancement of Science (AAAS), and the National Research Council (NRC). A valuable resource for working professionals and involved parents, MATH AND SCIENCE FOR YOUNG CHILDREN, Seventh Edition, is the most current volume of information of its kind available on the market today.

Contents
Part I: CONCEPT DEVELOPMENT IN MATHEMATICS AND SCIENCE.
1. How Concepts Develop.
2. How Concepts Are Acquired.
3. Promoting Young Children's Concept Development through Problem Solving.
4. Assessing the Child's Developmental Level.
5. The Basics of Science.
6. How Young Scientists Use Concepts.
7. Planning for Science.
Part II: FUNDAMENTAL CONCEPTS AND SKILLS.
8. One-to-One Correspondence.
9. Number Sense and Counting.
10. Logic and Classifying.
11. Comparing.
12. Early Geometry: Shape.
13. Early Geometry: Spatial Sense.
14. Parts and Wholes.
15. Language and Concept Formation.
16. Fundamental Concepts in Science.
Part III: APPLYING FUNDAMENTAL CONCEPTS, ATTITUDES, AND SKILLS.
17. Ordering, Seriation, and Patterning.
18. Measurement: Volume, Weight, Length, and Temperature.
19. Measurement: Time.
20. Interpreting Data Using Graphs.
21. Applications of Fundamental Concepts in Preprimary Science.
22. Integrating the Curriculum through Dramatic Play and Thematic Units and Projects.
Part IV: SYMBOLS AND HIGHER-LEVEL ACTIVITIES.
23. Symbols.
24. Groups and Symbols.
25. Higher-Level Activities and Concepts.
26. Higher-Level Activities Used in Science Units and Activities.
Part V: MATHEMATICS CONCEPTS AND OPERATIONS FOR THE PRIMARY GRADES.
27. Operations with Whole Numbers.
28. Patterns.
29. Fractions.
30. Numbers above 10 and Place Value.
31. Geometry, Data Collection, and Algebraic Thinking.
32. Measurement with Standard Units.
Part VI: USING SKILLS, CONCEPTS, AND ATTITUDES FOR SCIENTIFIC INVESTIGATIONS IN THE PRIMARY GRADES.
33. Overview of Primary Science.
34. Life Science.
35. Physical Science.
36. Earth and Space Science.
37. Environmental Awareness.
38. Health and Nutrition.
Part VII: THE MATH AND SCIENCE ENVIRONMENT.
39. Materials and Resources for Math and Science.
40. Math and Science in Action.
41. Math and Science in the Home.
Appendix A: Developmental Assessment Tasks.
Appendix B: Children's Books and Software with Math and Science Concepts.
Appendix C: The National Research Council's National Science Education Standards (1996).
Glossary.
Index.

The Bequest of the Greeks


Tobias Dantzig
Allen Unwin | 1955 | 201 páginas | pdf | 6,9 Mb



Contents
PREFACE 7
ACKNOWLEDGMENT
Part One THE STAGE AND THE CAST
1 On Greeks and Grecians 15
2 The Founders 20
3 On the Genesis of Geometry 34
4 Pyramids 46
5 Pentacles 55
6 The Pseudomath 72
7 The Interdiction 84
Part Two IN RETROSPECT an Anthology of the Greek Bequest
8 The Hypotenuse Theorem 95
9 Triples 108
10 The Crescents of Hippocrates 121
11 The Quadratrix of Hippias 138
12 The Algorithm of Euclid 145
13 An Archimedean Approximation 152
14 The Formula of Hero 160
15 The Chords of Hipparchus 169
EPILOGUE 180
INDEX 189

New trends in mathematics teaching, Vol. IV


The International Commission on  Mathematical Instruction (ICMI) 

UNESCO | 1979 |289 páginas | pdf

online: unesdoc.unesco.org


ICME-3    1976      Karlsruhe (Germany)

The book is based  upon the preparation for and proceedings of the Third International Congress on Mathematical 

Contents 
Introduction 
Chapter I - Mathematics education at preelementary and  primary levels 
F. Colmez 
Chapter II - Mathematics education at the fast level in post- elementary and secondary schools 
A.Z. Krygowska 
Chapter III - Mathematics education at upper secondary school, college and university transition 
D.A. Quadling 
Chapter IV - Mathematics education at university level
J.H. van Lint 
Chapter V - Adult and continuing education in mathematics 
R.M. Pengelly 
Chapter VI - The education and professional life of mathematics teachers 
Michael Otte 
Chapter VII - A critical analysis of curriculum development in mathematical education 
A.G. Howson 
Chapter VIII - Methods and results of evaluation with respect to mathematics education 
Jeremy Kilpatrick Introduction 
Chapter IX - Overall goals and objectives for mathematical education 
Ubiratan D’Ambrosio 
Chapter X - Research related to the mathematical learning process 
Heinrich Bauersfeld 
Chapter XI  - A critical analysis of the use of educational technology in mathematics teaching 
Ralph T. Heimer
Chapter XII - The interaction between mathematics and other school subjects 
H.O. Pollak 
Chapter XIII - The role of algorithms and computers in teaching mathematics at school 
A. Engel 
Institutional addresses of authors and editors

Nature and Numbers a mathematical photo shooting


Georg Glaeser

Ambra Verlag | 2014 | 377 páginas | rar - pdf | 137 Mb

link (password : matav)

Mathematicians with special interest in biology, physics, geography, astronomy, architecture, design, etc., and being prepared to take pictures at any time, might try to answer unusual questions like the followings: What do a zebra, a tiger shark, and a hard coral have in common? How is this with drying mud, wings of dragon flies, and the structures of leaves? What is the "snail king" and is there also a "worm king"? Which curves stay of the same type after being photographed? Do fishes see like we do if we look through a fisheye lens? Which geometric properties of an object have physical consequences? Which kinds of geometric patterns appear when waves are interfering?
In Nature and Numbers you can find 180 double pages with at least as many questions of this kind. The principle to attack a problem is often similar: It starts with a photo that is for some reasons remarkable. In a short description an explanation is offered, including relevant Internet links. Additionally one can frequently find computer simulations in order to illustrate and confirm.

A Female Genius: How Ada Lovelace Started the Computer Age



James Essinger

Gibson Square | 2013 | 304 páginas | rar - epub | 1,45 Mb


link (password: matav)

The daughter of Lord Byron, Ada was the visionary who recognised the true potential of Babbage's of cog-wheel computer, The Analytical Engine. She demonstrated to the world that computers wouldn't merely be adding machines, but that they would be able to think.


Contents
Preface
1. Poetic Beginnings
2. Lord Byron: A Scandalous Ancestry
3. Annabella: Anglo-Saxon Attitudes
4. The Manor of Parallelograms
5. The Art of Flying
6. Love
7. Silken Threads
8. When Ada Met Charles
9. The Thinking Machine
10. Kinship
11. Mad Scientist
12. A Window on the Future
13. The Jacquard Loom
14. A Mind with a View
15. Ada’s Offer to Babbage
16. The Enchantress of Number
17. A Horrible Death
18. Redemption
Afterword
Acknowledgement