Circles All Around

Allyson Valentine Schrier

Perfection Learning Corp | 2006 | 12 páginas | rar - pdf | 14,11 Mb

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Shows circle shapes in nature

Paradoxes of the Infinite

(Routledge Revivals) 

Bernard Bolzano

Routledge | 2013 | 202 páginas | rar - pdf | 3,97 Mb

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Paradoxes of the Infinite presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19^th century: Dr Bernard Bolzano’s Paradoxien. This volume contains an adept translation of the work itself by Donald A. Steele S.J., and in addition an historical introduction, which includes a brief biography as well as an evaluation of Bolzano the mathematician, logician and physicist.

Contents
SHORT TITLE KEY TO BOLZANO REFERENCES page ix
HISTORICAL INTRODUCTION
I. THE HISTORICAL CONTEXT OF THE ‘ PARADOXIEN ’ 1
II. BIOGRAPHICAL SKETCH 9
III. BOLZANO THE MATHEMATICIAN 17
IV. BOLZANO THE LOGICIAN 40
V. BOLZANO THE PHYSICIST 50
VI. THE ‘ PARADOXIEN DES UNENDLICHEN* 53
TRANSLATION
editor’s preface page 59
SYNOPSIS OF CONTENTS 61
TEXT OF TRANSLATION 75
REFERENCE NOTES TO TRANSLATION 174
SELECTED BIBLIOGRAPHY
BIBLIOGRAPHICAL WORKS page 176
BIOGRAPHICAL WORKS 176
BY BOLZANO ON LOGIC 176
BY BOLZANO ON MATHEMATICS 177

BY BOLZANO ON PHYSICS 178
BY BOLZANO ON OTHER SUBJECTS 179
ON BOLZANO THE LOGICIAN 179
ON BOLZANO THE MATHEMATICIAN 180
ON BOLZANO THE PHILOSOPHER l8l
KEY TO THE QUOTATIONS IN THE ‘ PARADOXIEN’ 182
INDEX OF PERSONS AND PLACES 185

INDEX OF TOPICS 188

Primary Teaching Assistants: Curriculum in Context

Carrie Cable

Routledge | 2005 | 254 páginas | rar - pdf | Mb

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Teaching assistants are uniquely placed to support children’s involvement with learning through the curriculum. This book explores those issues that are central to that process. Specifically it examines:

• strategies for supporting learning and assessment in English, maths and science
• inclusive and imaginative practices in all areas of learning
• home and community contexts for learning
• working practices which support professional development.

This book is written primarily for learning support staff, their teaching colleagues and those responsible for professional development and training.

Contents

Acknowledgements

Introduction

Carrie Cable and Ian Eyres

Section 1: Children and the curriculum

Introduction to Section 1

Carrie Cable and Ian Eyres

1 Play

Stephanie Northen

2 Talk about texts at the computer: using ICT to develop children’s oral and literate abilities

Neil Mercer, Manuel F ernandez, Lyn Dawes, Rupert Wegerif and Claire Sams

3 ICT, learning and primary mathematics

John Ralston

4 Reflections on six years of the National Literacy Strategy

Kathy Hall

5 What can teachers learn from the language that children use?

Chris Bills

6 Watching and learning: the tools of assessment

Cathy Nutbrown

7 Social constructivism in the classroom

Judith Watson

8 Constructivism and primary science

Patricia Murphy

9 Supporting science in Key Stage 1

Janet K ay

10 Learning science

Joan Solomon with Stephen Lunn

Section 2: Contexts for learning

Introduction to Section 2

Carrie Cable and Ian Eyres

11 Learning at Coombes School 83

Bob Jeffrey and Peter Woods

12 Making sense of it all: using ICT to support older bilingual new arrivals 93

Sheilagh Crowther with Ian Eyres

13 A well-equipped hamster cage: the rationalisation of primary school playtime 96

Sarah Thomson

14 The articulate playground: trainee teachers meet pocket monsters 104

Elizabeth Grugeon

15 School buildings: ‘A safe haven, not a prison . . 1 1 0

Catherine Burke and Ian Grosvenor

16 Joining Gabriel’s play 116

Kayte Brim acom be with Roger Hancock

17 The role of grandparents in children’s learning 120

Charmian Kenner, Tahera Arju, Eve Gregory, John Jessel and Mahera Ruby

18 Supplementary schools and their parents: an overlooked resource? 127

John  Bastiani

Section 3: Working together 131

Introduction to Section 3

Carrie Cable and Ian Eyres

19 Winning teams 133

Hilary Cremin, Gary Thomas and Karen Vincett

20 Supporting primary mathematics 136

Jenny Houssart

21 Reflections on practice: three bilingual teaching assistants/instructors reflect on their roles 143

Carrie Cable

22 Enabling children’s creativity 151

Lindsey Haynes with Anna Craft
23 ‘Are they teaching?’ An alternative perspective on parents as educators
Janet Atkin and John Bastiani
24 Effective home-school links
Suzanne Brown
25 Developing pupils’ skills in self-assessment in the primary classroom
Ruth Dann
Section 4: Perspectives and voices
Introduction to Section 4
Carrie Cable and Ian Eyres
26 ‘Whoops, I forgot David’: children’s perceptions of the adults
who work in their classrooms
Ian Eyres, Carrie Cable, Roger Hancock and Janet Turner
27 What do pupils and parents think?
Patricia Atkinson
28 Getting your voice heard and making a difference
Chris Scrivener
29 Bangladeshi women and their children’s reading
Adrian Blackledge
30 Social outcasts
Times Educational Supplement
31 Common sense has much to learn from moonshine
Philip Pullman
32 Beyond the tests: literacy in successful schools
Thelma Hall with Ian Eyres
33 Co-ordinating support for learning
Liz Gerschel
34 Learning through the enriched curriculum
Dympna Meikleham with Roger Hancock
Index

Where's the Wonder in Elementary Math?: Encouraging Mathematical Reasoning in the Classroom

Judith McVarish

Routledge | 2007 | páginas | rar - pdf | Mb

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This book argues that even in today's high-stakes testing environment, 'teaching to the test' need not be teachers’ only focus as they introduce young children to mathematics. Judith McVarish demonstrates how building a community of learners and using problem solving to engage students can help teachers encourage students’ disposition to creative thinking and reasoning—skills that can otherwise become lost due to the pressure of the many other expectations placed upon both teachers and students. This book offers strategies for infusing mathematics learning and reasoning into elementary school classrooms while meeting curriculum and testing mandates. The teacher researcher component of each chapter provides a vehicle for teachers to bring their own expertise and questions back into the teaching and learning equation.

Contents
Acknowledgments ix
Series Editor’s Foreword xi
Chapter 1 Setting the Stage . 1
Chapter 2 What Does the Room Teach? 25
Chapter 3 Who Asks the Questions? Who Answers Them? 43
Chapter 4 How Can I Tune Transitions to a New Key? 65
Chapter 5 What Is Real about Homework? . 79
Chapter 6 How Do I De-Fang the Test? . 99
Chapter 7 How Can We Take Critical Thinking Beyond the Classroom? 119
Chapter 8 What Do Parents Know? . 139
Chapter 9 Is Thinking about Thinking Just a Play on Words? . 155
References  173

Index 177

550 AP Calculus AB & BC Practice Questions (College Test Preparation)

Princeton Review

Princeton Review | 2013 | 448 páginas | rar - epub | 29,8 Mb

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THE PRINCETON REVIEW GETS RESULTS. Get extra preparation for an excellent AP Calculus AB & BC score with 550 extra practice questions and answers.

Practice makes perfect—and The Princeton Review’s 550 AP Calculus AB & BC Practice Questions gives you everything you need to work your way to the top. Inside, you’ll find tips and strategies for tackling and overcoming challenging questions, plus all the practice you need to get the score you want.
Inside The Book: All the Practice and Strategies You Need• 2 diagnostic exams (one each for AB and BC) to help you identify areas of improvement• 2 comprehensive practice tests (one each for AB and BC)• Over 300 additional practice questions• Step-by-step techniques for both multiple-choice and free-response questions• Practice drills for each tested topic: Limits, Functions and Graphs, Derivatives, Integration, Polynomial Approximations, and Series• Answer keys and detailed explanations for each drill and test question• Engaging guidance to help you critically assess your progress

Enacted Mathematics Curriculum: A Conceptual Framework and Research Needs

Denisse R. Thompson e Zalman Usiskin

 Information Age Publishing | 2013 | páginas | rar - pdf | 4,41 Mb

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This volume is an outgrowth of the Conference on Research on the Enacted Mathematics Curriculum, funded by the National Science Foundation and held in Tampa, Florida in November 2010. The volume has the potential to be useful to a range of researchers, from established veterans in curriculum research to new researchers in this area of mathematics education. The chapters can be used to generate conversation about researching the enacted mathematics curriculum, including similarities and differences in the variables that can and should be studied across various curricula. As such, it might be used by a curriculum project team as it outlines a research agenda for curriculum or program evaluation. It might be used as a text in a university graduate course on curriculum research and design. The chapters in this volume are a natural complement to those in Approaches to Studying the Enacted Mathematics Curriculum (Heck, Chval, Weiss, & Ziebarth, 2012), also published by Information Age Publishing. While the present volume focuses on a range of issues related to researching the enacted mathematics curriculum, including theoretical and conceptual issues, the volume by Heck et al. provides insights into different instrumentations used by groups of researchers to study curriculum enactment

CONTENTS
Acknowledgements . .. vii
Preface. . . . ix
1. The Enacted Curriculum as a Focus of Research
Gabriel Cal and Denisse R. Thompson . . . 1
2. Examining Variations in Enactment of a Grade 7 Mathematics Lesson by a Single Teacher: Implications for Future Research on Mathematics Curriculum Enactment
Mary Ann Huntley and Daniel J. Heck. .. 21
3. Influence of Mathematics Curriculum Enactment on Student Achievement
Patricia D. Hunsader and Denisse R. Thompson . . 47
4. Teachers’ Knowledge and the Enacted Mathematics Curriculum
Ji-Won Son and Sharon L. Senk . . . 75
5. Instruments for Studying the Enacted Mathematics Curriculum
Steven W. Ziebarth, Nicole L. Fonger, and James L. Kratky . .  . 97
6. Conceptualizing the Enacted Curriculum in Mathematics Education
Janine T. Remillard and Daniel J. Heck . . 121
7. Recommendations for Generating and Implementing a Research Agenda for Studying the Enacted Mathematics Curriculum
Kathryn B. Chval, Iris R. Weiss, and Rukiye Didem Taylan. .  . . 149
Postscript

Zalman Usiskin. . . 177

Assessment in middle and high school mathematics: a teacher's guide

Daniel Brahier

Routledge | 2001 | 138 páginas | rar - pdf | 6,31 Mb

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It describes each strategy and clarifies its advantages and drawbacks. Also included is a large sample of classroom-tested examples along with sample student responses. These examples can be used "as is" - or you can customize them for your own class. This book will help prepare your students for standardized tests that include items requiring evidence of conceptual understanding. The strategies reflect the assessment Standards benchmarks established by the NCTM. In addition, an entire chapter is devoted to help teachers use these assessments to arrive at their students' grades.

Contents
1 WHY CHANGE ASSESSMENT PRACTICES? 1
EXAMPLES OF STUDENT ASSESSMENTS 3
SQUARE ROOT OF A NUMBER 3
SOLVING PROPORTIONS 4
COMPUTATION AND NUMBER SENSE 5
STANDARDIZED TESTING 7
THE ASSESSMENT STANDARDS 8
THE IDEAL LINE OF INFERENCE 11
2 ALTERNATIVES FOR ASSESSMENT 17
OPEN-ENDED QUESTIONS AND RUBRICS 18
ADVANTAGES TO USING OPEN-ENDED QUESTIONS AND RUBRICS 22
POSSIBLE DRAWBACKS TO USING OPEN-ENDED QUESTIONS AND RUBRICS 22
JOURNALS 23
ADVANTAGES TO USING JOURNALS . 24
POSSIBLE DRAWBACKS TO USING JOURNALS 25
PROJECTS/PRESENTATIONS 26
ADVANTAGES TO USING PROJECTS/PRESENTATIONS 27
POSSIBLE DRAWBACKS TO USING PROJECTS/PRESENTATIONS . 27
OBSERVATIONS 28
ADVANTAGES TO USING OBSERVATIONS 28
POSSIBLE DRAWBACKS TO USING OBSERVATIONS 29
CONCLUSION 29
3 SAMPLE ASSESSMENTS 33
SAMPLE OPEN-ENDED QUESTIONS AND RUBRICS 33
NUMBER AND OPERATIONS 41
ALGEBRA 42
GEOMETRY 43
MEASUREMENT 43
DATA ANALYSIS AND PROBABILITY 44
SAMPLE JOURNAL PROMPTS 46
SAMPLE PROJECTS AND PRESENTATIONS 54
FUNCTIONS LEARNING STATIONS PROJECT - PATTERNS, ALGEBRA 54
REAL-LIFE FUNCTIONS PROJECT - FUNCTIONS, ALGEBRA 57
GRAPHING PROJECT - GRAPHS, FUNCTIONS, ALGEBRA, GEOMETRY /TRANSLATIONS 59
ANALYTIC GEOMETRY PROJECT - COORDINATE GEOMETRY (PYTHAGOREAN THEOREM, SLOPE, DISTANCE, MIDPOINT) 64
FRACTAL PROJECT - GEOMETRY, ALGEBRAIC EXPRESSIONS, ITERATION 67
GRAPHING CALCULATOR PROGRAMING PROJECT - WRITING ALGORITHMS, LOGICAL THINKING AND REASONING, USING A GRAPHING CALCULATOR . 69
SAMPLE OBSERVATION TIPS AND CHECKLISTS 73
CONCLUSION 79
4 DETERMINING FINAL GRADES . 81
WHY Do WE ASSESS STUDENT PROGRESS? . 81
ASSESSMENT AND FINAL GRADES . 84
TEST SCORES AND QUIZ SCORES 85
HOMEWORK SCORES 86
JOURNAL RUBRIC SCORES . 88
PROJECT GRADES 89
OPEN-ENDED QUESTION RUBRIC SCORES . 89
THE FINAL GRADE 92
ASSESSMENTS FOR OTHER PURPOSES 93
5 TAKING THE FIRST STEP . 99
THE ASSESSMENT PLAN 99
RATIONALE 100
GENERAL FRAMEWORK 101
SPECIFICS (TASKS, RUBRICS) . 103
THE NCTM ASSESSMENT STANDARDS AS BENCHMARKS 104
THE MATHEMATICS STANDARD 104
THE LEARNING STANDARD 105
THE EQUITY STANDARD . 105
THE OPENNESS STANDARD 105
THE INFERENCES STANDARD 105
THE COHERENCE STANDARD 106
ASSESSING YOUR ASSESSMENT PLAN .. 107
ApPENDIX 113
BOOKS 113
INTERNET RESOURCES 115
JOURNAL ARTICLES 117
VIDEO MATERIALS 120

Outros livros de Daniel Brahier:

Teaching secondary and middle school Mathemathics por Daniel Brahier Idioma: Inglês   Editora: Boston, Mass : Pearson Education, ©2012.

Today's mathematics : concepts, methods, and classroom activities por James W Heddens; William R Speer; Daniel J Brahier   Idioma: Inglês   Editora: Hoboken, NJ : Wiley, ©2009