Leveled Texts for Mathematics Data Analysis and Probability

Stephanie Paris

Shell Education | 2011 | 147 páginas | rar -pdf | 23 Mb

link (password : matav)

Highlighting data analysis and probability, this resource provides the know-how to use leveled texts to differentiate instruction in mathematics. A total of 15 different topics are featured in and the high-interest text is written at four different reading levels with matching visuals. Practice problems are provided to reinforce what is taught in the passage. The included Teacher Resource CD features a modifiable version of each passage in text format and full-color versions of the texts and image files. This resource is correlated to the Common Core State Standards.

Table of Contents
What Is Differentiation?......4
How to Differentiate Using This Product.......5
General Information About the Student Populations........6
Below-Grade-Level Students........6
English Language Learners.......6
On-Grade-Level Students........7
Above-Grade-Level Students........7
Strategies for Using the Leveled Texts......8
Below-Grade-Level Students.......8
English Language Learners....... 11
Above-Grade-Level Students..... 14
How to Use This Product...... 16
Readability Chart........ 16
Components of the Product......... 17
Tips for Managing the Product....... 18
Correlation to Mathematics Standards..... 19
Leveled Texts......... 21
Collecting Data...... 21
Creating Pictographs...... 29
Analyzing Pictographs...... 37
Creating Bar Graphs...... 45
Analyzing Bar Graphs..... 53
Creating Line Graphs...... 61
Analyzing Line Graphs....... 69
Creating Circle Graphs...... 77
Analyzing Circle Graphs...... 85
Comparing Graphs.......... 93
What Does Mean Mean?....... 101
Median in the Middle...... 109
Mode and Range.......... 117
Probability of Events....... 125
Probability Experiments..... 133
Appendices...... 141
References Cited......... 141
Contents of Teacher Resource CD...... 142

Cool Flexagon Art: Creative Activities That Make Math & Science Fun for Kids!

 

Anders Hanson e Elissa Mann

Checkerboard Library | 2013 | 34 páginas | rar - pdf | 2,45 Mb

link (password : matav)

ContentsCOOL FLEXAGON ART
HIDDEN IN THE FOLDS
POLYGON BASICS
SIDES, VERTICES, AND ANGLES
IN THE FOLD
TYPES OF FLEXAGONS
FOLDING TIPS
MAKE IT EASIER!
PROJECT 1
MAKE A HEXA-TETRA FLEXAGON
PROJECT 2
MAKE A HEXA-HEXA FLEXAGON
3-D GEOMETRY
FROM SHAPES TO SOLIDS
PROJECT 3
MAKE A 3-D FLEXAGON
PROJECT 4
TRANSFORMER STAR
MATH TERMS
GLOSSARY
WEB SITES
INDEX

The Ambitious Horse - Ancient Chinese Mathematics Problems

Lawrence Swienciki

Key Curriculum | 2000 | 135 páginas | pdf (no OCR) | 7,94 Mb

online: math.utep.edu


pdf (OCR) - 5,72 Mb - link

• Numbers and Arithmetic includes subjects such as Chinese writing; The Calculating Rods of Ancient China: and ancient Chinese multiplication.

• Geometry and Dissection problems includes subjects such as tangrams, the Measure of Heaven and Ancient Chinese Philosophy.

• Algebra Integrated with Geometry includes subjects such as Square Roots; Quadratic Equations; and mathematical treats such as the "Pillar of Delightful Contemplation", the "Exalted Treasure of Jade" and the "Precious Golden Rope".

On the one hand this book is far beyond what many 7th and 8th grader students are capable of. On the other hand, it is so interesting and so well done that it might just be that this is the book that helps transforms your child from a grudging math student to an enthusiastic one!

Filled with stories, puzzles and plenty of hands-on problems, this book is a treasure. It is divided into three sections:

Answers and solutions included.

Note: The problems get more difficult as the book progresses and so can be used for several years. Suitable for a very math-able 7th grader, a solid 8th grader and to enthuse and inspire high school students

Writing Projects for Mathematics Courses: Crushed Clowns, Cars & Coffee to Go

Annalisa Crannell, Gavin LaRose e Thomas Ratliff

The Mathematical Association of America | 2004 | 128 páginas | rar - pdf | 621 kb


link (password: matav)


This volume is a collection of writing projects suitable in a wide range of undergraduate mathematics courses, from a survey of mathematics to differential equations. The projects vary in their level of difficulty and in the mathematics that they require, but are similar in the mode of presentation and use of applications. Students see these problems as real in a way that textbooks problems are not, even though many of the characters involved (dime–store detectives and CEOs) are obviously fictional. The stories are sometimes fanciful and sometimes grounded in standard scientific applications, but the mere existence of the story draws the students in and makes the problem relevant.

The book is the combined effort of four instructors who have used writing projects in their own courses. They provide an easy-to-use, widely applicable set of course materials that instructors can adopt and adapt to their own courses.

An extensive set of class-tested projects is included along with:

• implementation notes which highlight student difficulties,
• information about project solutions, and
• advice for grading writing projects.

Contents

1 Introduction and Supporting Information 1

1.1 Introduction 1

1.2 Motivation 2

1.3Use and Implementation of Projects 3

1.4 Grading Project Solutions 5

2 Projects 9

The Case of the Dough for the Greenhouse 10

The Case of the New Leaf 13

The Case of the Dropped Baton 15

The Case of the Falling Grapefruit 17

The Case of the Lead Poisoning 20

The Case of Darlene’s Rose 23

The Case of the Set-Up Cyclist 25

The Case of the Crushed Clown 27

A Bit of Caustic Rain 30

A Bit More Caustic Rain 33

Profitable Production 36

The Legality of the Stock Market 39

An Oily Mess 42

An Illuminating Project 44

A Question of Law 46

A Little Farming of Sorts 48
Defending Freedom, or Something Like That 51
A Jump and a Jerk 54
Fire Swamps and Rodents and Snakes (Oh, My) 58
Coffee to Go 61
A Dorm Room’s a Dorm Room, No Matter How Small 63
The Broad Side of the Barn 65
A Question of Carpeting 67
The Great Escape 69
I Guess Leonardo DiCaprio Was Booked 72
While Visions of Emus Danced in His Head 75
A Matter of Utmost Gravity 78
The X-Files Makes Me So Angry 80
The Company Picnic 82
The Restaurant 84
The Commute 86
The Raise 88
The Car 90
The Square Meal Deal 92
Stuck in Traffic in Chicago 94
3 Sample Solutions 97
3.1 Solution Paper and Checklist—Annalisa Crannell 97
3.2 Solution Paper and Rubric—Gavin LaRose 105
4 Additional Sample Checklists and Rubrics 113
5 Index by Course 117

A Fresh Start for Collegiate Mathematics: Rethinking the Courses Below Calculus

Nancy Baxter Hastings

 Mathematical Association of America | 2006 | 409 páginas | rar - pdf |2,8 Mb

link (password: matav)

Each year, over 1,000,000 students take college-level courses below calculus such as precalculus, college algebra and others that fulfill general education requirements. Most college algebra courses, and certainly all precalculus courses, were originally intended to prepare students for calculus. Most are still offered in this spirit, even though only a small percentage of students have any intention of taking calculus. This volume examines how the courses below calculus might be refocused to provide better mathematical experiences for all students. This initiative involves a greater emphasis on conceptual understanding with a de-emphasizing on rote manipulation. It encourages the use of realistic applications, math modeling and data analysis that reflect the ways mathematics is used in other disciplines. It promotes the use of active learning approaches, including group work, exploratory activities and projects. It emphasizes communication skills: reading, writing, presenting and listening. It endorses the appropriate use of technology to enhance conceptual understanding, visualization, and to enable students to tackle real-world problems.The 49 papers in this volume seek to focus attention on the problems and needs of the courses and to provide guidance to the mathematics community. Major themes include: new visions for introductory collegiate mathematics, transition from high school to college, needs of other disciplines, research on student learning, implementation issues, and ideas and projects that work.

Contents
Preface  . vii
Introduction .  .1
1 The Conference: Rethinking the Preparation for Calculus, Jack Narayan and Darren Narayan . .  3
2 Twenty Questions about Precalculus, Lynn Arthur Steen . 8
Background  13
3 Who are the Students Who Take Precalculus?, Mercedes A. McGowen . . 15
4 Enrollment Flow to and from Courses Below Calculus, Steven R. Dunbar .  . 28
5 What Have We Learned from Calculus Reform? The Road to Conceptual Understanding, Deborah Hughes Hallett . . 43
6 Calculus and Introductory College Mathematics: Current Trends and Future Directions, Susan L. Ganter .46
Theme 1. New Visions for Introductory Collegiate Mathematics . . . 55
7 Refocusing Precalculus: Challenges and Questions, Nancy Baxter Hastings . . . 57
8 Preparing Students for Calculus in the Twenty-First Century, Sheldon P. Gordon . . 64
9 Preparing for Calculus and Preparing for Life, Bernard L. Madison .. 78
10 College Algebra: A Course in Crisis, Don Small . . 83
11 Changes in College Algebra, Scott R. Herriott .  . 90
12 One Approach to Quantitative Literacy: Understanding our Quantitative World, Janet Andersen .. 101
Theme 2. The Transition from High School to College . . . 109
13 High School Overview and the Transition to College, Zalman Usiskin  . 111
14 Precalculus Reform: A High School Perspective, Daniel J. Teague . . 121
15 The Influence of Current Efforts to Improve School Mathematics on the
Preparation for Calculus, Eric Robinson and John Maceli . . 129
Theme 3. The Needs of Other Disciplines . . 151
16 Fundamental Mathematics: Voices of the Partner Disciplines, William Barker and Susan L. Ganter .153
17 Skills versus Concepts at West Point, Rich West . 160
18 Integrating Data Analysis into Precalculus Courses, Allan J. Rossman . 169
Theme 4. Student Learning and Research. . .179
19 Assessing What Students Learn: Reform versus Traditional Precalculus and Follow-up Calculus, Florence S. Gordon . .. 181
20 Student Voices and the Transition from Reform High School Mathematics to College Mathematics, Rebecca Walker .  . . 193
Theme 5. Implementation . .. .211
21 Some Political and Practical Issues in Implementing Reform, Robert E. Megginson . .. 213
22 Implementing Curricular Change in Precalculus: A Dean’s Perspective, Judy E. Ackerman .. . 219
23 The Need to Rethink Placement in Mathematics, Sheldon P. Gordon  . 224
24 Changing Technology Implies Changing Pedagogy, Lawrence C. Moore and David A. Smith .. . 229
25 Preparing for Calculus and Beyond: Some Curriculum Design Issues, Al Cuoco . 235
26 Alternatives to the One-Size-Fits-All Precalculus/College Algebra Course, Bonnie Gold 249
Theme 6. Influencing the Mathematics Community . . 255
27 Launching a Precalculus Reform Movement: Influencing the Mathematics Community, Bernard L. Madison . 257
28 Mathematics Programs for the Rest-of-Us, Naomi D. Fisher and Bonnie Saunders . . 265
29 Where Do We Go From Here? Creating a National Initiative to Refocus the Courses below Calculus, Sheldon P. Gordon . 274
Ideas and Projects that Work: Part 1  . . 283
30 College Precalculus Can Be a Barrier to Calculus: Integration of Precalculus with Calculus Can Achieve Success, Doris Schattschneider . 285
31 College Algebra Reform through Interdisciplinary Applications, William P. Fox . 295
32 Elementary Math Models: College Algebra Topics and a Liberal Arts Approach, Dan Kalman . . 304
33 The Case for Labs in Precalculus, Brigitte Lahme, Jerry Morris, and Elias Toubassi  310
34 The Fifth Rule: Direct Experience of Mathematics, Gary Simundza   320
Ideas and Projects that Work: Part 2 . . 329
35 Mathematics in Action: Empowering Students with Introductory and Intermediate College Mathematics, Ernie Danforth, Brian Gray, Arlene Kleinstein, Rick Patrick, and Sylvia Svitak . . 333
36 Precalculus: Concepts in Context, Marsha Davis .  . . 337
37 Rethinking College Algebra, Benny Evans . . . 341
38 From The Bottom Up, Sol Garfunkel .  . 345
39 The Functioning in the Real World Project, Florence S. Gordon and Sheldon P. Gordon 348
40 The Importance of a Story Line: Functions as Models of Change, Deborah Hughes Hallett 352
41 Using a Guided-Inquiry Approach to Enhance Student Learning in Precalculus, Nancy Baxter Hastings . . 355
42 Maricopa Mathematics, Alan Jacobs .  . 360
43 College Algebra/Quantitative Reasoning at the University of Massachusetts, Boston, Linda Almgren Kime . . 364
44 Developmental Algebra: The First Mathematics Course for Many College Students, Mercedes A. McGowen .. . 369
45 Workshop Precalculus: Functions, Data, and Models, Allan J. Rossman . 376
46 Contemporary College Algebra, Don Small  . 380
47 Precalculus: A Study of Functions and Their Applications, Todd Swanson . . . . 386
48 Success and Failures of a Precalculus Reform Project, David M. Wells and Lynn Tilson 390
49 The Earth Math Projects, Nancy Zumoff and Christopher Schaufele . .393

Mastering Mathematics - Algebra

Hodder Education | 2014 | 237 páginas | rar - pdf | 9,13 Mb

link (password: matav)

Deliver outstanding lessons that build fluency, problem-solving and mathematical reasoning skills to enable sustained progress at Key Stage 3, in preparation for GCSE. Mastering Mathematics provides flexible online and print teaching and learning resources. The service focuses on strands within the curriculum to improve progression throughout Secondary Mathematics. Mastering Mathematics Student Books and Whiteboard eTextbooks are organised into progression strands in line with Mastering Mathematics Teaching and Learning Resources: - Enable students to identify appropriate remediation or extension steps they need in order to progress, through easy to follow progression charts - Clear explanations of the tools needed for the chapter followed by questions that develop fluency, reasoning and problem-solving in order to ensure transferability of skills - Show band of difficulty for each chapter and links with other areas of maths throughout the books so students know how they are doing and what they need to learn next

Contents
Strand 1 Starting algebra 01
Unit 1 Making and using word formulae 02
Unit 2 Using letters 10
Unit 3 Combining variables 19
Unit 4 Working with formulae 26
Unit 5 Setting up and solving simple equations 35
Unit 6 Using brackets 47
Unit 7 Working with more complex equations 56
Unit 8 Solving equations with brackets 64
Unit 9 Simplifying harder expressions 71
Unit 10 Using complex formulae 78
Strand 2 Sequences 89
Unit 1 What is a sequence? 90
Unit 2 Generating sequences 100
Unit 3 Linear sequences 106
Unit 4 Special sequences 118
Unit 5 Quadratic sequences 126
Strand 3 Functions and graphs 133
Unit 1 Real-life graphs 134
Unit 2 Plotting graphs of linear functions 154
Unit 3 The equation of a straight line 164
Unit 4 Plotting quadratic and cubic graphs 178
Strand 4 Algebraic methods 187
Unit 1 Trial and improvement 188
Unit 2 Linear inequalities 196
Unit 3 Solve pairs of equations by substitution 206
Unit 4 Solve simultaneous equations using elimination 212
Unit 5 Using graphs to solve simultaneous equations

Using Children’s Literature to Teach Problem Solving in Math: Addressing the Common Core in K–2

Jeanne White

Routledge | 2013 | 111 páginas | rar - pdf | 516 kb

link (password: matav)

Learn how to use children’s literature to engage students in mathematical problem solving. Teaching with children’s literature helps build a positive math environment, encourages students to think abstractly, shows students the real-world purposes of math, builds content-area literacy, and appeals to students with different learning styles and preferences. This practical book provides specific children’s book ideas and standards-based lessons that you can use to bring math alive in your own classroom.

Special Features:

• Step-by-step ideas for using children’s literature to teach lessons based on the Common Core Standards for Mathematical Content in kindergarten, first, and second grade

• Scripting, modeling, and discussion prompts for each lesson

• Information on alignment to the Standards for Mathematical Practice and how to put them into student-friendly language

• Reference to a wide variety of specific children’s literature that can provide a context for young children learning to engage in the standards

• Differentiated activities for students who are early, developing, and advanced problem solvers

Contents
About the Author ix
Acknowledgments xi
Introduction: Using Children’s Literature to Teach
Problem Solving in Math 1
Types of Problem Solvers 2
Creating a Problem-Solving Community 3
1 Make Sense and Persevere 5
Early Problem Solvers 6
Seven Blind Mice—Decomposing Numbers 6
Developing Problem Solvers 10
MATH-Terpieces: The Art of Problem Solving—Using 2 and 3 Addends to Find a Sum 10
Advanced Problem Solvers 12
Splash!—Representing Addition and Subtraction Problems 12
2 Reason Abstractly 15
Early Problem Solvers 16
Ten Flashing Fireflies—Exploring the Commutative Property of Addition 16
Rooster’s Off to See the World—Exploring the Associative Property of Addition 17
Developing Problem Solvers 19
Each Orange Had 8 Slices—Demonstrating Fluency for Addition 19
Advanced Problem Solvers 21
How Many Mice?—Representing and Solving Problems With Addition and Subtraction 21
3 Construct Arguments 23
Early Problem Solvers 24
How Many Seeds in a Pumpkin?—Skip-Counting and Comparing Three-Digit Numbers 24
Developing Problem Solvers 27
Mall Mania—Adding Two-Digit Numbers Using Various Strategies 27
Advanced Problem Solvers 29
Spaghetti and Meatballs for All!—Creating Composite Shapes 29
4 Create a Model 33
Early Problem Solvers 33
The Doorbell Rang—Representing Addition in Various Ways 33
Developing Problem Solvers 38
Bigger, Better, Best!—Using Addition With Rectangular Arrays 38
Advanced Problem Solvers 42
Alexander, Who Used to be Rich Last Sunday—Solving Word Problems With Money 42
5 Use Mathematical Tools 47
Early Problem Solvers 48
Earth Day-Hooray!—Using Place Value to Add and Subtract 48
Developing Problem Solvers 52
Mummy Math—Recognizing Attributes of 3D Objects 52
Advanced Problem Solvers 54
Measuring Penny—Measuring in Standard and Nonstandard Units 54
6 Attend to Precision 59
Early Problem Solvers 59
If You Were a Quadrilateral—Identifying Quadrilaterals 59
Developing Problem Solvers 62
Lemonade for Sale—Representing and Interpreting Data 62
Advanced Problem Solvers 65
Measuring Penny—Relating Addition and Subtraction to Length 65
7 Look for Structure 69
Early Problem Solvers 69
The Button Box—Identifying Attributes for Sorting 69
Developing Problem Solvers 73
Patterns in Peru—Describing Relative Positions 73
Advanced Problem Solvers 76
The Greedy Triangle—Exploring Attributes of Shapes 76
8 Apply Repeated Reasoning 81
Early Problem Solvers 82
Bunches of Buttons: Counting by Tens—Counting to 100 by Tens 82
Developing Problem Solvers 85
How Big is a Foot?—Iterating Length Units 85
Advanced Problem Solvers 87
The King’s Commissioners—Representing Tens and Ones 87
Next Steps 91
Appendix: Common Addition and Subtraction Situations 93
References 95

Mathematical Connections: A Companion for Teachers

(Classroom Resource Material) 

Al Cuoco

The Mathematical Association of America | 2005 | 261 páginas | pdf | 6,3 Mb

link
link1

This book is about some of the topics that form the foundations for high school mathematics. It focuses on a closely-knit collection of ideas that are at the intersection of algebra, arithmetic, combinatorics, geometry, and calculus. Most of the ideas are classical: methods for fitting polynomial functions to data, for summing powers of integers, for visualizing the iterates of a function defined on the complex plane, or for obtaining identities among entries in Pascal's triangle. Some of these ideas, previously considered quite advanced, have become tractable because of advances in computational technology. Others are just beautiful classical mathematics, topics that have fallen out of fashion and that deserve to be resurrected While the book will appeal to many audiences, one of the primary audiences is high school teachers, both practicing and prospective. It can be used as a text for undergraduate or professional courses, and the design lends itself to self-study. Of course, good mathematics for teaching is also good for many other uses, so readers of all persuasions can enjoy exploring some of the beautiful ideas presented in the pages of this book.

Contents
1. Difference tables and polynomial fits. Doing it with sums
Doing it with differences
Finding a formula: combinatorial polynomials
Making it formal: the [delta] operator
Going the other way: polynomials to tables
Conversions
From Newton to Lagrange
Agreeing to disagree
2. Form and function: the algebra of polynomials. Polynomials
The basic theorems
Coefficients and values
Up a level
Transformations
Coefficients and zeros.
3. Complex numbers, complex maps, and trigonometry. Complex numbers
The complex plane
The geometry behind multiplying
Trigonometric identities
Complex maps
Julia sets and the Mandelbrot set.
4. Combinations and locks. Combinatorial proofs and identities
The simplex lock
Some approaches to the simplex lock problem
Connections to the Mahler basis.
5. Sums of powers. Summatory polynomials
Bernoulli's method.

Mathematics Galore!, The First Five Years of the St. Mark’s Institute of Mathematics

 (Classroom Resource Materials)

James Tanton 

Mathematical Association of America | 2012 | 289 | pdf | 3,3 Mb

link

Mathematics Galore! Showcases some of the best activities and student outcomes of the St. Mark s Institute of Mathematics and invites you to engage the mathematics yourself! Revel in the delight of deep intellectual play and marvel at the heights to which young scholars can rise. See some great mathematics explained and proved via natural and accessible means.

Based on 26 essays ( newsletters ) and eight additional pieces,Mathematics Galore! offers a large sample of mathematical tidbits and treasures, each immediately enticing, and each a gateway to layers of surprising depth and conundrum. Pick and read essays in no particular order and enjoy the mathematical stories that unfold. Be inspired for your courses, your math clubs and your math circles, or simply enjoy for yourself the bounty of research questions and intriguing puzzlers that lie within.

Contents
Introduction;
Newsletters and commentaries;
1. Arctangents;
2. Benford's Law;
3. Braids;
4. CLIP Theory;
5. Dots and dashes;
6. Factor trees;
7. Folding fractions and conics;
8. Folding patterns and dragons;
9. Folding and pouring;
10. Fractions;
11. Integer triangles;
12. Lattice polygons;
13. Layered tilings;
14. The middle of a triangle;
15. Partitions;
16. Personalized polynomials;
17. Playing with Pi;
18. Pythagoras's Theorem;
19. On reflection;
20. Repunits and primes;
21. The Stern-Brocot Tree;
22. Tessellations;
23. Theon's ladder and squangular numbers;
24. Tilings and theorems;
25. The Tower of Hanoi;
26. Weird multiplication;
Appendices:
1. Numbers that are the sum of two squares;
2. Pick's theorem;
3. The Mobius function;
4. The Borsuk-Ulam theorem;
5. Galilean ratios;
6. A candy-sharing game;
7. Bending Buffon's needle;
8. On separating dots;
Indexes:
1. Index of terms;
2. Index of topics;
3. Classic theorems proved.

Outros livros do mesmo autor:

Encyclopedia of mathematics por James Stuart Tanton Idioma: Inglês   Editora: New York : Facts on File, ©2005.

Solve this : math activities for students and clubs por James Stuart Tanton Idioma: Inglês   Editora: Washington, D.C. : Mathematical Association of America, 2001.

MPJ's Ultimate Math Lessons

Chris Shore

Math Projects Journal | 2011 | 294 páginas | rar - pdf | 22 Mb


link (password : matav)

MPJ's Ultimate Math Lessons is a resource for teachers of Algebra, Pre-Algebra, and Geometry in grades 6–12. It contains 80 innovative lessons and 27 thought-provoking articles taken directly from theMath Projects Journal, a periodical that, for more than six years, has helped teachers around the world improve student performance in mathematics.

Contents
Introduction
The MPJ Story
Acknowledgements
PRE-ALGEBRA LESSONS
How Big is Barbie
M&M Count and Crunch
Counting Fish
Donlt Break my Stride
4-Digit Problem
Wallflowers
The Postman Always Rings Twice
Piggy Banks
Candy Bars
Brownies
Beef Jerky
Playing with a Full Deck
ALGEBRA LESSONS
Number Tricks
11m Thinking of a Number...
Pig Pen Algebra
Rule Quest
Rising Water
The Student-Generated Word Problem
Algebra Walk
Staircases & Ramps
Tumbling Cars
Monster Cars
The Jogging Hare
CoolShoes.com
Land Cruiser
Stixture Problems
The Tortoise and The Hare
Rescue Mission
The X-Files
Olympic Swim Times
Robotic Disney
The Migratory Paths of Birds
Empty Box
The Pizza Box
Pool Decks
The Coin Fountain
Parabolic Pizza
Town Grid
The Billabong and the Bush
Zeno's Bouncing Ball
Calculator Logos
Original Works
GEOMETRY LESSONS
How High: Beyond a Shadow of a Doubt
How High: The Right Stuff
How High: Surveyor1s Trig Trick
How High: Do You Have the Inclination?
How High: The Chinese Difference
The Mason's Secret
The America1s Cup Sail
The Fire-Fish Story
Baseball Congruency
Shipping Conundrum
The Gum Drop
A Slice of Pi
Poison Weed
Polygon House
Swimming Pools
King Tut
The Luxor
The Shopkeeper1s Jar
Super Size ItI
Can There Be Giants?
Whatever Floats Your Boat
Shot Put Arc
Strike a Chord
Reflection Golf
Kaleidoscope
William Tell
The Selling of America
The Vector Map
Princess Dido and the Ox Skin
ARTICLES
QM14.5
TIMSS: A Call for Substance
TIMSS: A Tale of Three Countries
TIMSS: A TIMSS Primer
A Mountain of Vision
Portfolios
A Struggle Among Equals
Nuts & Bolts
Kicking the Habit
On a Good Day
Sleeping with the Enemy
Inside & Out
Measurement
Teaching Backwards
Ultimate Cosmic Power
Cannonballs and Concepts
Graphing for Meaning
Beavis and Barbie
Still All Full of Stuffinl
Godzilla or Godzuki
Sculpting Young Thinkers
Christmas Carols and Disco Tunes
Martian Math
The Economy of Thought
Universal Remote
The Railroad and the Kayak
Fluff-n-Stuff
Lesson Studies
Inspiration, Perspiration, Desperation
ADDITIONAL ACTIVITIES
The Dentists Puzzle
Psychic Probability
Around the World
Red Dot - Green Dot
The Tic-Tac Equation
The Handyman's Math Trick
Brother in the Box
Mega Translation
Age Trick
Math Walk
Twenty-One
Wipeout
Index

Leveled Texts for Mathematics: Geometry

Lori Barker

Shell Education | 2011 | 147 páginas | rar - pdf | 4,25 Mb

link (password: matav)

Highlighting geometry, this resource provides the know-how to use leveled texts to differentiate instruction in mathematics. A total of 15 different topics are featured in and the high-interest text is written at four different reading levels with matching visuals. Practice problems are provided to reinforce what is taught in the passage.

Table of Contents
What Is Differentiation?...4
How to Differentiate Using This Product...5
General Information About Student Populations...6
Below-Grade-Level Students...6
English Language Learners...6
On-Grade-Level Students....7
Above-Grade-Level Students...7
Strategies for Using the Leveled Texts.....8
Below-Grade-Level Students...8
English Language Learners.... 11
Above-Grade-Level Students.... 14
How to Use This Product.... 16
Readability Chart.... 16
Components of the Product.... 16
Tips for Managing the Product.... 18
Correlations to Mathematics Standards... 19
Leveled Texts..... 21
Angles All Around.... 21
Understanding Triangles.... 29
To Cross or Not to Cross... 37
Quadrilaterals... 45
Classifying 2-D Shapes.... 53
Irregular Shapes... 61
Congruent and Similar Figures..... 69
Understanding 3-D Shapes.... 77
Understanding Prisms... 85
The Coordinate Plane.... 93
Circles... 101
Symmetry... 109
Reflections..... 117
Rotations... 125
Translations... 133
Appendices..... 141
References Cited... 141
Contents of Teacher Resource CD... 142

Using and Applying Mathematics at Key Stage 1: A Guide to Teaching Problem Solving and Thinking Skills

Elaine Sellars e Sue Lowndes

David Fulton Publishers | 2003 | 63 páginas | rar - pdf | 3,1 Mb

link (password: matav)


All pupils - able children included - need to be taught strategies to enable their thinking skills to progress. They also need help with developing different approaches to problem solving. A sustained piece of work that requires perseverance, logical strategies, and refinement of method and extension of the original task is not the same as a straightforward quick-fix type problem. Both types of problem solving need to be taught. This book presents a series of activities that can be used with whole classes to provide a curriculum for the teaching of problem solving and the development of thinking skills. Each tried and tested investigation is clearly explained with ideas on how to introduce the task to a class, full solutions and resource sheets.
Activities include making 10p: a task to encourage systematic listing; tables and chairs: working systematically and spotting patterns; polygons and polyhedra: investigating diagonals, triangles, faces, edges and vertices; hidden faces: investigating different shapes and sizes of dice; and pond borders: investigating area and perimeter.

Leveled Texts for Mathematics: Fractions, Decimals, and Percents

 Lori Barker

Shell Education | 2011 | 147 páginas | rar -pdf | 58,4 Mb

link (password: matav)


With a focus on fractions, decimals, and percents, this resource provides the know-how to use leveled texts to differentiate instruction in mathematics. A total of 15 different topics are featured in and the high-interest text is written at four different reading levels with matching visuals. Practice problems are provided to reinforce what is taught in the passage

sample pages

Table of Contents
What Is Differentiation?..4
How to Differentiate Using This Product......5
General Information About the Student Populations.......6
Below-Grade-Level Students.....6
English Language Learners.....6
On-Grade-Level Students....7
Above-Grade-Level Students......7
Strategies for Using the Leveled Texts.......8
Below-Grade-Level Students....8
English Language Learners.. 11
Above-Grade-Level Students...... 14
How to Use This Product...... 16
Readability Chart...... 16
Components of the Product..... 16
Tips for Managing the Product... 18
Correlation to Standards...... 19
Leveled Texts.... 21
What Is a Fraction?...... 21
Fractions Have Their Place..... 29
Finding a Place for Decimals.... 37
Some Are More, Some Are Less...... 45
Different but the Same...... 53
As Simple as Possible.... 61
When It’s Greater Than One....... 69
Together or Apart....... 77
Thinking About Different Sizes..... 85
Multiplication and Division of Fractions..... 93
Addition and Subtraction of Decimals.... 101
Multiplying and Dividing Decimals...... 109
Fractions to Decimals....... 117
Understanding Percents.... 125
Fractions, Decimals, and Percents..... 133
Appendices...... 141
References Cited....... 141
Contents of Teacher Resource CD... 142

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

link (password : matav)

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

30 Mathematics Lessons Using the TI-15

Christine Dugan 

Shell Education | 2009 | 258 páginas | rar- pdf | Mb

link (password: matav)

This book is designed for grades 3-5 instruction and provides step-by-step mathematics lessons that incorporate the use of the TI-15 calculator throughout the learning process. The 30 lessons included present mathematics in a real-world context and cover each of the five strands: number and operations, geometry, algebra, measurement, and data analysis and probability.

Table of contents

Young Mathematicians at Work: Constructing Algebra

Catherine Twomey Fosnot e William Jacob 

 Heinemann | 2010 | 220 páginas | pdf | 3,4 Mb

link
link1

The first three volumes of this popular series help teachers support children's development in number sense and operation, from addition and subtraction through fractions, decimals, and percents. Catherine Twomey Fosnot and Maarten Dolk's signature approach uses classroom vignettes to illustrate the investigations and minilessons students engage in as they build their mathematical knowledge.

The hallmarks of their approach include:

• Supporting children as they construct mathematical strategies and big ideas

• Creating realistic contexts and representational models that develop children's capacity to mathematize their world

• Building a collaborative community of mathematical thinkers engaged in inquiry

For the fourth volume Catherine teams up with Bill Jacob to offer a comfortably familiar and characteristically rich extension to the earlier work. In Constructing Algebra Catherine and Bill provide a landscape of learning that helps teachers recognize, support, and celebrate their students' capacity to structure their worlds algebraically. They identify for teachers the models, contexts, and landmarks that facilitate algebraic thinking in young students.

This volume will be a welcome resource for classroom teachers, math supervisors, and curriculum coordinators alike. Preparing young children for success in algebra is a crucial topic. Constructing Algebra provides the insightful and practical methods from the most trusted source for teaching mathematics to young students from Kindergarten through grade 8.

CONTENTS

CHAPTER 1: ALGEBRA: STRUCTURES OR STRUCTURING? 3

CHAPTER 2: THE LANDSCAPE OF LEARNING 23

CHAPTER 3: EARLY STRUCTURING OF THE NUMBER SYSTEM 37

CHAPTER 4: CONTINUING THE JOURNEY: THE ROLE OF CONTEXTS AND MODELS 55

CHAPTER 5: EQUIVALENCE ON THE HORIZON 77

CHAPTER 6: VARIATION VERSUS VARIABLES 93

CHAPTER 7: FURTHER HORIZONS: INTEGERS AND EQUIVALENCE 111

CHAPTER 8: COMPARING QUANTITIES AND RELATIONS 129

CHAPTER 9: DEVELOPING ALGEBRAIC STRATEGIES WITH MINILESSONS 155

CHAPTER 10: PROOF 171

Outros livros da mesma série:

Young mathematicians at work. Constructing number sense, addition, and subtraction por Catherine Twomey Fosnot; Maarten Ludovicus Antonius Marie Dolk Idioma: Inglês   Editora: Portsmouth, NH : Heinemann, ©2001.

Young mathematicians at work. Constructing multiplication and division por Catherine Twomey Fosnot; Maarten Ludovicus Antonius Marie Dolk Idioma: Inglês   Editora: Portsmouth, NH : Heinemann, ©2001.

Young mathematicians at work : constructing fractions, decimals, and percents por Catherine Twomey Fosnot; Maarten Ludovicus Antonius Marie Dolk Idioma: Inglês   Editora: Portsmouth, NH : Heinemann, ©2002.