terça-feira, 28 de maio de 2013
Reconceptualizing Early Mathematics Learning (Advances in Mathematics Education)
Lyn D. English, Joanne T. Mulligan
Springer | 2013 | 339 páginas
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This book emanated primarily from concerns that the mathematical capabilities of young children continue to receive inadequate attention in both the research and instructional arenas. Research over many years has revealed that young children have sophisticated mathematical minds and a natural eagerness to engage in a range of mathematical activities. As the chapters in this book attest, current research is showing that young children are developing complex mathematical knowledge and abstract reasoning a good deal earlier than previously thought. A range of studies in prior to school and early school settings indicate that young learners do possess cognitive capacities which, with appropriately designed and implemented learning experiences, can enable forms of reasoning not typically seen in the early years. Although there is a large and coherent body of research on individual content domains such as counting and arithmetic, there have been remarkably few studies that have attempted to describe characteristics of structural development in young students’ mathematics. Collectively, the chapters highlight the importance of providing more exciting, relevant, and challenging 21st century mathematics learning for our young students. The chapters provide a broad scope in their topics and approaches to advancing young children’s mathematical learning. They incorporate studies that highlight the importance of pattern and structure across the curriculum, studies that target particular content such as statistics, early algebra, and beginning number, and studies that consider how technology and other tools can facilitate early mathematical development. Reconceptualising the professional learning of teachers in promoting young children’s mathematics, including a consideration of the role of play, is also addressed.
Índice
Contents
Perspectives on Reconceptualizing Early Mathematics Learning . . . . . 1
Lyn D. English and Joanne T. Mulligan
Early Mathematics Learning in Perspective: Eras and Forces of Change . 5
Kristie J. Newton and Patricia A. Alexander
Early Awareness of Mathematical Pattern and Structure . . . . . . . . . 29
Joanne T. Mulligan and Michael C. Mitchelmore
Reconceptualizing Early Mathematics Learning: The Fundamental Role of Pattern and Structure . 47
Joanne T. Mulligan, Michael C. Mitchelmore, Lyn D. English, and Nathan Crevensten
Reconceptualizing Statistical Learning in the Early Years . . . . . . . . . 67
Lyn D. English
Cognitive Guidelines for the Design and Evaluation of Early Mathematics Software: The Example of MathemAntics . . . . . . . . 83
Herbert P. Ginsburg, Azadeh Jamalian, and Samantha Creighan
Rethinking Early Mathematics: What Is Research-Based Curriculum for Young Children? . . . 121
Douglas H. Clements and Julie Sarama
Reflecting on Young Children’s Mathematics Learning . . . . . . . . . . 149
Bob Perry and Sue Dockett
Practices that Support Mathematics Learning in a Play-Based Classroom 163
Anita A. Wager
Communicating About Number: Fostering Young Children’s Mathematical Orientation in the World . . . 183
Bert van Oers
A Framework for Examining Technologies and Early Mathematics Learning . 205
Kristy Goodwin and Kate Highfield
The Role of Picture Books in Young Children’s Mathematics Learning . . 227
Marja Van den Heuvel-Panhuizen and Iliada Elia
Improving Numeracy Outcomes for Young Australian Indigenous Children . . 253
Marina M. Papic
Enhancing Teacher Professional Development for Early Years Mathematics TeachersWorking in Disadvantaged Contexts . . . . . 283
Elizabeth Warren and Janine Quine
Mathematical Modeling at the Intersection of Elementary Mathematics,Art, and Engineering Education . . . 309
Heidi A. Diefes-Dux, Lindsay Whittenberg, and Roxanne McKee
sábado, 28 de julho de 2012
The Mathematical Collage
Ronald Staszkow, Robert Bradshaw
Custom Publishing | 2006 |
Versão draft
online: ohlone.edu (capítulos)
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ohlone.edu (link direto)
The Mathematical Collage has been written to meet an Associate Degree general education requirement of a mathematics course with a Beginning Algebra prerequisite. The text shows that mathematics is alive in today's world and helps students see the beauty and power of mathematics. Its contents consists of chapters on the lore of numbers, finance matters, measurement geometry and trigonometry, probability and statistics, and math in sports, It also includes Mathematical Excursions, short trips into various areas where mathematics is used, such as math and the tourist, math and the internet, math and voting, math and nursing, math and the automobile, math and cooking, math and the angler, math and the World Series of Poker.
quinta-feira, 26 de julho de 2012
Complex Numbers from A to ...Z
Titu Andreescu , Dorin Andrica
Birkhäuser Boston | 2006 | 321 páginas
Birkhäuser Boston | 2006 | 321 páginas
It is impossible to imagine modern mathematics without complex numbers. Complex Numbers from A to . . . Z introduces the reader to this fascinating subject that, from the time of L. Euler, has become one of the most utilized ideas in mathematics.
Mathematical Omnibus: Thirty Lectures on Classic Mathematics
American Mathematical Society | 465 páginas | PDF | 7 Mb
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The book consists of thirty lectures on diverse topics, covering much of the mathematical landscape rather than focusing on one area. The reader will learn numerous results that often belong to neither the standard undergraduate nor graduate curriculum and will discover connections between classical and contemporary ideas in algebra, combinatorics, geometry, and topology. The reader's effort will be rewarded in seeing the harmony of each subject. The common thread in the selected subjects is their illustration of the unity and beauty of mathematics. Most lectures contain exercises, and solutions or answers are given to selected exercises. A special feature of the book is an abundance of drawings (more than four hundred), artwork by an award-winning artist, and about a hundred portraits of mathematicians. Almost every lecture contains surprises for even the seasoned researcher.
terça-feira, 17 de julho de 2012
Minilessons for Math Practice, Grades 3-5
Math Solutions | 2006 | 176 páginas | PDF | 920 Kb
These two books present an innovative approach to reinforcing students' math skills. The 27 engaging lessons in each book are easy to implement, require little or no preparation, and take only 5 to 15 minutes to teach. Designed for use during transition times, the minilessons help students practice math concepts, skills, and processes by applyingthem in a variety of problem-solving contexts throughout the school day. Content areas explored include: number and operations; algebra; geometry; data analysis and probability; and measurement. Each activity includes a materials list, teaching directions, a list of key questions, and ideas for extending the activity throughout the year.
segunda-feira, 16 de julho de 2012
Reform in School Mathematics and Authentic Assessment
(SUNY Series, Reform in Mathematics Education)
Thomas A. Romberg
State University of New York Press | 1995 | 299 páginas | PDF | 2,29 Mb
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ERIC (13,2 MB)
This volume is concerned with the alignment between the way the mathematical performance of students is assessed and the reform agenda in school mathematics. The chapters in this book have been prepared to raise a set of issues that scholars are addressing during this period of transition from traditional schooling practices toward the reform vision of school mathematics. Chapters are: (1) "Issues Related to the Development of an Authentic Assessment System for School Mathematics" (T. A. Romberg and L. D. Wilson), (2) "A Framework for Authentic Assessment in Mathematics" (S. P. Lajoie), (3) "Sources of Assessment Information for Instructional Guidance in Mathematics" (E. A. Silver and P. A. Kenney), (4) "Assessment: No Change without Problems" (J. De Lange), (5) "The Invalidity of Standardized Testing for Measuring Mathematics Achievement" (R. E. Stake), (6) "Assessment Nets: An Alternative Approach to Assessment in Mathematics Achievement" (M. Wilson), and (7) "Connecting Visions of Authentic Assessment to the Realities of Educational Practice
Contents
Preface vii
1 Issues Related to the Development of an Authentic Assessment System for School Mathematics
THOMAS A. ROMBERG AND LINDA D. WILSON
2 A Framework for Authentic Assessment in Mathematics
SUSANNE P. LAJOIE
3 Sources of Assessment Information for Instructional Guidance in Mathematics
EDWARD A. SILVER AND PATRICIA ANN KENNEY
4 Assessment: No Change without Problems
JAN DE LANGE
5 The Invalidity of Standardized Testing for Measuring Mathematics Achievement
ROBERT E. STAKE
6 Assessment Nets: An Alternative Approach to Assessment in Mathematics Achievement
MARK WILSON
7 Connecting Visions of Authentic Assessment to the Realities of Educational Practice
M. ELIZABETH GRAUE
Contributors 277
Index
segunda-feira, 9 de julho de 2012
Curves and Their Properties
(NCTM Classics in Mathematics Education A Series, Volume 4)
Robert C. Yates
National Council of Teachers of Mathematics | 1974 (reimpressão de 1952) | djvu | 2,6 Mb
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eric.ed.gov (link direto)
This volume, a reprinting of a classic first published in 1952, presents detailed discussions of 26 curves or families of curves, and 17 analytic systems of curves. For each curve the author provides a historical note, a sketch or sketches, a description of the curve, a discussion of pertinent facts, and a bibliography. Depending upon the curve, the discussion may cover defining equations, relationships with other curves (identities, derivatives, integrals), series representations, metrical properties, properties of tangents and normals, applications of the curve in physical or statistical sciences, and other relevant information. The curves described range from the familiar conic sections and trigonometric functions through the less well known Deltoid, Kieroid and Witch of Agnesi. Curve related systems described include envelopes, evolutes and pedal curves. A section on curve sketching in the coordinate plane is included.
A Handbook on Curves and their Properties (1947)
online: archive.org
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