Smart Shopping Math

(21st Century Lifeskills Mathematics)

 Saddleback Educational Publishing | 2011 - Reprint edition | 115 páginas | rar - pdf | 1,7 Mb


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Edição anterior (2005)

Smart Shopping Math
Includes: Retail & Wholesale, Reading Ads, Rental Sales, Buying on Layaway, Getting the Best Deal, Online Shopping, Shopping for a Neighbor, Second Time Around
Contents
Unit 1: Retail & Wholesale
Preview . . . 1
Lesson 1: Retail Deals . . . 2
Lesson 2: Visiting the Outlets.  . . 4
Lesson 3: Liquidation and Closeouts  . . 6
Lesson 4: Strategic Purchases  . . 8
Lesson 5: Co-ops & Clubs .. . 10
Review . . . 12
Unit 2: Reading Ads
Preview .. . . 14
Lesson 1: Misleading Data . . . . 15
Lesson 2: Reading the Classifieds  . . 17
Lesson 3: Everyday Ads. . 19
Lesson 4: Reading the Fine Print. . . 21
Lesson 5: Stretching Dollars . . 23
Review . . 25
Unit 3: Rental Sales
Preview  . . 27
Lesson 1: On Vacation. . 28
Lesson 2: Renting Movies  . . 30
Lesson 3: Rented Out!. . . 32
Lesson 4: Temporary Help. . . 34
Lesson 5: Renting Your Home. . . 36
Review . . . 38
Unit 4: Buying on Layaway
Preview . . . 40
Lesson 1: All Sorts of Items to Layaway  . . 41
Lesson 2: Terms & Conditions . . 43
Lesson 3: Return Policies . . 45
Lesson 4: Making Payments . . 47
Lesson 5: Timing Is the Key. . . 49
Review . . 51
Unit 5: Getting the Best Deal
Preview . . . . . 53
Lesson 1: Picking the Time & the Place .. 54
Lesson 2: A Matter of Timing. . 56
Lesson 3: Vacation Deals. . 58
Lesson 4: Trade Show Opportunities . . 60
Lesson 5: Getting an Advantage. . . 62
Review . . 64
Unit 6: On-line Shopping
Preview . . . 66
Lesson 1: Making Comparisons . . 67
Lesson 2: Shopping without Dropping .  . 69
Lesson 3: Searching for Special Items . . 71
Lesson 4: What’s New?.. . 73
Lesson 5: Consulting the Experts. . 75
Review . . . 77
Unit 7: Shopping for a Neighbor
Preview  . . 79
Lesson 1: In Their Shoes  . . 80
Lesson 2: Following Their Lists .. . 82
Lesson 3: Price or Quantity . . 84
Lesson 4: Being a Good Neighbor . . 86
Lesson 5: Match It!.  . 88
Review . . . 90
Unit 8: Second Time Around
Preview . . 92
Lesson 1: Garage Sales . . 93
Lesson 2: Estate & Other Sales . . 95
Lesson 3: What’s the Missing Number? . . 97
Lesson 4: Cars, Clothes, & Books. . 99
Lesson 5: Recycling Trash. . 101
Review  . . 103

Teacher’s Notes and Answer Key . . 105

The exact sciences in antiquity

Otto Neugebauer

Copenhagen | 1957 - 2.ª edição

online: hathitrust.org

djvu - 5,49 Mb
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Based on a series of lectures delivered at Cornell University in the fall of 1949, and since revised, this is the standard non-technical coverage of Egyptian and Babylonian mathematics and astronomy, and their transmission to the Hellenistic world. Entirely modern in its data and conclusions, it reveals the surprising sophistication of certain areas of early science, particularly Babylonian mathematics.
After a discussion of the number systems used in the ancient Near East (contrasting the Egyptian method of additive computations with unit fractions and Babylonian place values), Dr. Neugebauer covers Babylonian tables for numerical computation, approximations of the square root of 2 (with implications that the Pythagorean Theorem was known more than a thousand years before Pythagoras), Pythagorean numbers, quadratic equations with two unknowns, special cases of logarithms and various other algebraic and geometric cases. Babylonian strength in algebraic and numerical work reveals a level of mathematical development in many aspects comparable to the mathematics of the early Renaissance in Europe. This is in contrast to the relatively primitive Egyptian mathematics. In the realm of astronomy, too, Dr. Neugebauer describes an unexpected sophistication, which is interpreted less as the result of millennia of observations (as used to be the interpretation) than as a competent mathematical apparatus. The transmission of this early science and its further development in Hellenistic times is also described. An Appendix discusses certain aspects of Greek astronomy and the indebtedness of the Copernican system to Ptolemaic and Islamic methods.
Dr. Neugebauer has long enjoyed an international reputation as one of the foremost workers in the area of premodern science. Many of his discoveries have revolutionized earlier understandings. In this volume he presents a non-technical survey, with much material unique on this level, which can be read with great profit by all interested in the history of science or history of culture. 14 plates. 52 figures.

From Alexandria, Through Baghdad: Surveys and Studies in the Ancient Greek and Medieval Islamic Mathematical Sciences in Honor of J.L. Berggren

Nathan Sidoli e Glen Van Brummelen

Springer | 2014 | 584 páginas | rar - pdf | 248 Mb

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This book honors the career of historian of mathematics J.L. Berggren, his scholarship, and service to the broader community. The first part, of value to scholars, graduate students, and interested readers, is a survey of scholarship in the mathematical sciences in ancient Greece and medieval Islam. It consists of six articles (three by Berggren himself) covering research from the middle of the 20th century to the present. The remainder of the book contains studies by eminent scholars of the ancient and medieval mathematical sciences. They serve both as examples of the breadth of current approaches and topics, and as tributes to Berggren's interests by his friends and colleagues.

Contents
Part I Surveys
History of Greek Mathematics: A Survey ofRcccnt Research [1984].3
Lennart Berggren
Mathematical Reconstructions Out, Textual Studies In: 30 Years in the Historiography of
Greek Mathematics [1998] . . 17
Ken Saito
Research on Ancient Greek Mathematical Sciences, 1998-2012  . 25
Nathan Sidoti
History of Mathematics in the IsWnic World: The Present State of the Art [1985] . . 51
J. Lennart Berggren
Mathematics and Her Sisters in Medieval Islam: A Selective Review of Work Done from
1985 to 1995 [1997] . 73
 Lennart Berggren
A Survey of Research in the Mathematical Sciences in Medieval Islam from 1996 to 2011. 101
Glen Van Brummelen
Part II Studies
Mechanical Astronomy: A Route to the Ancient Discovery of Epicycles and Eccentrics  . 145
James Evans and Christian Carlos Carman
Some Greek Sundial Meridians . . . . 175
Alexander Jones
An Archimedean Proof of Heron's Fonnula for the Area of a Triangle: Heuristics Reconstructed . 189
Christian Marinus Taisbak
Reading the Lost Folia. of the Archimedean Palimpsest: The Last Proposition of the Method . 199
Ken Saito and Pier Daniele Napolitani
Acts of Geometrical Construction in the Spherics ofTheodosios .  227
Roben Thomas
Archimedes Among the Ottomans: An Updated Survey.. . 239
ihsan Fazlloglu and F. Jamil Ragep
The "Second" Arabic Translation of Theodosius' Spbaerica . . . 255
Richard Lorch
More Archimedean than Archimedes: A New Trace of Abu Sahl al-Kiihi's Work in Latin  . 259
Jan P. Hogendijk
Les mathematiques en Occident musulman (IX-XVIII) : Panorama des travaux realises
entre 1999 et 2011 ... 275
Ahmed Djebbar
Ibn al-Raqqam's al-Zij al-Mustarufi in MS Rabat National Library 2461 ..... 297
Julio Samso
An Ottoman Astrolabe Full of Surprises. . 329
David A. King
Un algebriste arabe : Abu Kamil Suga ibn Aslam .. 343
Add Anbouba avec les commentaires de Jacques Sesiano)
Abu Kamil's Book on Mensuration . . 359
Jacques Sesiano
Hebrew Texts on the Regular Polyhedra  . 409
Tzvi Langermann
A Treatise by al-Biriini on the Rule of Three and its Variations ..... 469
Takanori K.usuba
Safavid Art, Science, and Courtly Education in the Seventeenth Century. .487
Sonja Brentjes
Translating Playir's Geometry into Arabic: Mathematics and Missions . . 503
Gregg De Young
Part III The Story of pi:
The Life of pi: From Archimedes to ENIAC and Beyond  531
Jonathan M. Borwein
Index of Personal Names . 563

Index of Ancient and Medieval Tides  . 577

Reading for Evidence and Interpreting Visualizations in Mathematics and Science Education

Stephen P. Norris 

Sense Publishers | 2012 | 209 páginas | pdf | 1,2 Mb

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CRYSTAL-Alberta was established to research ways to improve students' understanding and reasoning in science and mathematics. To accomplish this goal, faculty members in Education, Science, and Engineering, as well as school teachers joined forces to produce a resource bank of innovative and tested instructional materials that are transforming teaching in the K-12 classroom. Many of the instructional materials cross traditional disciplinary boundaries and explore contemporary topics such as global climate change and the spread of the West Nile virus. Combined with an emphasis on the use of visualizations, the instructional materials improve students' engagement with science and mathematics. Participation in the CRYSTAL-Alberta project has changed the way I think about the connection between what I do as a researcher and what I do as a teacher: I have learned how to better translate scientific knowledge into language and activities appropriate for students, thereby transforming my own teaching. I also have learned to make better connections between what students are learning and what is happening in their lives and the world, thereby increasing students' interest in the subject and enriching their learning experience.

TABLE OF CONTENTS
Acknowledgements vii
I. Introduction
1. CRYSTAL—Alberta: A Case of Science-Science Education Research Collaboration 3
Frank Jenkins and Stephen P. Norris
II. Reading for Evidence
2. Reading for Evidence 19
Susan Barker and Heidi Julien
3. Reading for Evidence through Hybrid Adapted Primary Literature 41
Marie-Claire Shanahan
4. Explanatory Reasoning in Junior High Science Textbooks 65
Jerine Pegg and Simon Karuku
5. The Environment as Text: Reading Big Lake 83
Susan Barker and Carole Newton
III. Visualizations in Science and Mathematics
6. Visualizations and Visualization in Mathematics Education 103
John S. Macnab, Linda M. Phillips, and Stephen P. Norris
7. Visualizations and Visualization in Science Education 123
John Braga, Linda M. Phillips, and Stephen P. Norris
8. Curriculum Development to Promote Visualization and
Mathematical Reasoning: Radicals 147
Elaine Simmt, Shannon Sookochoff, Janelle McFeetors, and Ralph T. Mason
9. Introducing Grade Five Students to the Nature of Models 165
Brenda J. Gustafson and Peter G. Mahaffy
10. Using Computer Visualizations to Introduce Grade Five Students to the Particle Nature of Matter 181
Brenda J. Gustafson and Peter G. Mahaffy
Notes on Contributors 203

Index 207

Famous geometrical theorems and problems, with their history

William Whitehead Rupert

Boston, D.C. Heath & Co. | 1900

online: 
archive.org
hathitrust.org
forgottenbooks.org

The author, having derived much pleasure and inspiration from the brief historical notes in some of the mathematical text-books that he studied when a student in college, has thought that, by giving the history of a few of the most celebrated geometrical theorems and problems, he might place a light in the window which may throw a cheerful ray adown the long and sometimes dusty pathway that leads to geometrical truth. In the preparation of this little book most valuable assistance has been derived from Florian Cajori sHistory of Mathematics, James Gows History of Greek Mathematics, and G, J. Allmans Greek Geometry from Thales to Euclid, It is, however, toW. W.Rourse Balls reniarkably interesting Short History of Mathematics that Famous Geometrical Theorems and Problems owes the largest debt. To Professor A, D. Eisenhower, Principal of the Norristown High School, George Q.Sheppard, Professor of Mathematics, Hill School, Pottstown, Pa., Dr. George M.Philips, Principal West Chester State Normal School, and Daniel Carhart, Ce., Dean and Professor of Civil Engineering, Western University of Pennsylvania, who have read this book in manuscript, the author is indebted for valuable, suggestions and many kind words of encouragement.

Second Handbook of Research on Mathematics Teaching and Learning

Frank K. Jr. Lester

Information Age Publishing | 2007 | 1381 páginas | rar - pdf | 11,4 Mb

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The audience remains much the same as for the 1992 Handbook, namely, mathematics education researchers and other scholars conducting work in mathematics education. This group includes college and university faculty, graduate students, investigators in research and development centers, and staff members at federal, state, and local agencies that conduct and use research within the discipline of mathematics.
The intent of the authors of this volume is to provide useful perspectives as well as pertinent information for conducting investigations that are informed by previous work. The Handbook should also be a useful textbook for graduate research seminars. In addition to the audience mentioned above, the present Handbook contains chapters that should be relevant to four other groups: teacher educators, curriculum developers, state and national policy makers, and test developers and others involved with assessment.

Taken as a whole, the chapters reflects the mathematics education research community's willingness to accept the challenge of helping the public understand what mathematics education research is all about and what the relevance of their research fi ndings might be for those outside their immediate community.
The intent of the authors of this volume is to provide useful perspectives as well as pertinent information for conducting investigations that are informed by previous work. The Handbook should also be a useful textbook for graduate research seminars. In addition to the audience mentioned above, the present Handbook contains chapters that should be relevant to four other groups: teacher educators, curriculum developers, state and national policy makers, and test developers and others involved with assessment.
Taken as a whole, the chapters reflects the mathematics education research community's willingness to accept the challenge of helping the public understand what mathematics education research is all about and what the relevance of their research fi ndings might be for those outside their immediate community.
Taken as a whole, the chapters reflects the mathematics education research community's willingness to accept the challenge of helping the public understand what mathematics education research is all about and what the relevance of their research fi ndings might be for those outside their immediate community. 

CONTENTS

Preface. 
Acknowledgements.
Part I: Foundations. 
Putting Philosophy to Work: Coping With Multiple Theoretical Perspectives, Paul Cobb.
Theory in Mathematics Education Scholarship, Edward A. Silver & Patricio G. Herbst
Method, Alan H. Schoenfeld. 
Part II: Teachers and Teaching. 
Assessing Teachers' Mathematical Knowledge: What Knowledge Matters and What Evidence Counts? Heather C. Hill, Laurie Sleep, Jennifer M. Lewis, & Deborah Loewenberg Ball. 
The Mathematical Education and Development of Teachers, Judith T. Sowder.
Understanding Teaching and Classroom Practice in Mathematics, Megan Loef Franke, Elham Kazemi and Daniel Battey. 
Mathematics Teachers' Beliefs and Affect, Randolph A. Philipp. 
Part III: Influences on Student Outcomes. 
How Curriculum Influences Student Learning, Mary Kay Stein, Janine Remillard and Margaret Smith. 
The Effects of Classroom Mathematics Teaching on Students' Learning, James S. Hiebert and Douglas A. Grouws. 
Culture, Race, Power, and Mathematics Education, Diversity in Mathematics Education Center for Learning and Teaching. 
The Role of Culture in Teaching and Learning Mathematics, Norma G. Presmeg. 
Part IV: Students and Learning. 
Early Childhood Mathematics Learning, Douglas H. Clements and Julie Sarama. 
Whole Number Concepts and Operations, Lieven Verschaffel, Brian Greer, and Erik DeCorte.
Rational Numbers and Proportional Reasoning: Toward a Theoretical Framework for Research, Susan J. Lamon. Early Algebra, David W. Carraher and Analucia D. Schliemann. 
Learning and Teaching of Algebra at the Middle School through College Levels: Building Meaning for Symbols and Their Manipulation, Carolyn Kieran. 
Problem Solving and Modeling, Richard Lesh and Judith Zawejewski. 
Toward Comprehensive Perspectives on the Learning and Teaching of Proof, Guershon Harel and Larry Sowder. 
The Development of Geometric and Spatial Thinking, Michael T. Battista. 
Research in Probability: Responding to Classroom Realities, Graham A. Jones, Cynthia W. Langrall and Edward S. Mooney. 
Research on Statistics Learning and Reasoning, J. Michael Shaughnessy. 
Mathematics Thinking and Learning at Post-secondary Level, Michele Artigue, Carmen Batanero and Phillip Kent. 
Part V: Assessment. 
Keeping Learning on Track: Classroom Assessment and the Regulation of Learning, Dylan Wiliam. 
High Stakes Testing in Mathematics, Linda Dager Wilson. 
Large-scale Assessment of Mathematics Education, Jan DeLange. 
Part VI: Issues and Perspectives. 
Issues in Access and Equity in Mathematics Education, Alan J. Bishop and Helen J. Forgasz. 
Research on Technology in Mathematics Education: The Perspective of Constructs, Rose Mary Zbiek, M. Kathleen Heid, Glendon Blume and Thomas P. Dick. 
Engineering Change in Mathematics Education: Research, Policy, and Practice, William F. Tate and Celia Rousseau. 
Educational Policy Research and Mathematics Education, Joan Ferrini-Mundy & Robert Floden. 
Mathematics Content Specification in the Age of Assessment, Norman L. Webb. 
Reflections on the State and Trends in Research on Mathematics Teaching and Learning: From Here to Utopia, Mogens Niss.

Third International Handbook of Mathematics Education

M.A. (Ken) Clements, Alan Bishop, Christine Keitel-Kreidt e Jeremy Kilpatrick

Springer | 2013 | 1119 páginas | pdf | 9 Mb

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The four sections in this Third International Handbook are concerned with: (a) social, political and cultural dimensions in mathematics education; (b) mathematics education as a field of study; (c) technology in the mathematics curriculum; and (d) international perspectives on mathematics education. These themes are taken up by 84 internationally-recognized scholars, based in 26 different nations. Each of section is structured on the basis of past, present and future aspects. The first chapter in a section provides historical perspectives (“How did we get to where we are now?”); the middle chapters in a section analyze present-day key issues and themes (“Where are we now, and what recent events have been especially significant?”); and the final chapter in a section reflects on policy matters (“Where are we going, and what should we do?”). Readership: Teachers, mathematics educators, ed.policy makers, mathematicians, graduate students, undergraduate students. Large set of authoritative, international authors.​

Contents
Part I Introduction to Section A: Social, Political and Cultural Dimensions in Mathematics Education .. 1
Christine Keitel
1 From the Few to the Many: Historical Perspectives on Who Should Learn Mathematics... 7
M. A. (Ken) Clements, Christine Keitel, Alan J. Bishop, Jeremy Kilpatrick, and Frederick K. S. Leung
2 Theories for Studying Social, Political and Cultural Dimensions of Mathematics Education ... 41
Eva Jablonka, David Wagner, and Margaret Walshaw
3 Understanding and Overcoming “Disadvantage” in Learning Mathematics.... 69
Lulu Healy and Arthur B. Powell
4 Beyond Deficit Models of Learning Mathematics: Socio-cultural Directions for Change and Research .... 101
Cristina Frade, Nadja Acioly-Régnier, and Li Jun
5 Studying Learners in Intercultural Contexts ... 145
Yoshinori Shimizu and Gaye Williams
6 Learners in Transition Between Contexts.... 169
Tamsin Meaney and Troels Lange
7 Critical Perspectives on Adults’ Mathematics Education ... 203
Jeff Evans, Tine Wedege, and Keiko Yasukawa
8 The Politics of Equity and Access in Teaching and Learning Mathematics..... 243
Neil A. Pateman and Chap Sam Lim
Part II Introduction to Section B: Mathematics Education as a Field of Study ... 265
Alan J. Bishop
9 From Mathematics and Education, to Mathematics Education .... 273
Fulvia Furinghetti, José Manuel Matos, and Marta Menghini
10 Theories in Mathematics Education: Some Developments and Ways Forward .... 303
Bharath Sriraman and Elena Nardi
11 Research Methods in Mathematics Teacher Education ... 327
Uwe Gellert, Rosa Becerra Hernández, and Olive Chapman
12 Linking Research to Practice: Teachers as Key Stakeholders in Mathematics Education Research ..... 361
Carolyn Kieran, Konrad Krainer, and J. Michael Shaughnessy
13 Teachers Learning from Teachers ... 393
Allan Leslie White, Barbara Jaworski, Cecilia Agudelo-Valderrama, and Zahra Gooya
14 Developing Mathematics Educators .... 431
Jarmila Novotná, Claire Margolinas, and Bernard Sarrazy
15 Institutional Contexts for Research in Mathematics Education ...... 459
Tony Brown and David Clarke
16 Policy Implications of Developing Mathematics Education Research .... 485
Celia Hoyles and Joan Ferrini-Mundy
Part III Introduction to Section C: Technology in the Mathematics Curriculum ..... 517
Frederick K. S. Leung
17 From the Slate to the Web: Technology in the Mathematics Curriculum .... 525
David Lindsay Roberts, Allen Yuk Lun Leung, and Abigail Fregni Lins
18 Modelling with Mathematics and Technologies .. 549
Julian Williams and Merrilyn Goos
19 Technology and the Role of Proof: The Case of Dynamic Geometry ... 571
Nathalie Sinclair and Ornella Robutti
20 How Might Computer Algebra Systems Change the Role of Algebra in the School Curriculum?.... 597
M. Kathleen Heid, Michael O. J. Thomas, and Rose Mary Zbiek
21 Technology for Enhancing Statistical Reasoning at the School Level .... 643
Rolf Biehler, Dani Ben-Zvi, Arthur Bakker, and Katie Makar
22 Learning with the Use of the Internet ... 691
Marcelo C. Borba, Philip Clarkson, and George Gadanidis
23 Technology and Assessment in Mathematics .... 721
Kaye Stacey and Dylan Wiliam
24 Technology-Driven Developments and Policy Implications for Mathematics Education .... 753
L. Trouche, P. Drijvers, G. Gueudet, and A. I. Sacristán
Part IV Introduction to Section D: International Perspectives on Mathematics Education .... 791
Jeremy Kilpatrick
25 From the Local to the International in Mathematics Education .... 797
Alexander Karp
26 International Collaborative Studies in Mathematics Education ... 827
Parmjit Singh and Nerida F. Ellerton
27 Influence of International Studies of Student Achievement on Mathematics Teaching and Learning... 861
Vilma Mesa, Pedro Gómez, and Ui Hock Cheah
28 International Organizations in Mathematics Education .... 901
Bernard R. Hodgson, Leo F. Rogers, Stephen Lerman, and Suat Khoh Lim-Teo
29 Toward an International Mathematics Curriculum .... 949
Jinfa Cai and Geoffrey Howson
30 Methods for Studying Mathematics Teaching and Learning Internationally .... 975
Mogens Niss, Jonas Emanuelsson, and Peter Nyström
31 Implications of International Studies for National and Local Policy in Mathematics Education .. 1009
John A. Dossey and Margaret L. Wu
Brief Biographical Details of Authors .... 1043
Names of Reviewers .. 1063