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Activities for Mathematical Thinking: Exploring, Inventing, and Discovering Mathematics

Activities for Mathematical Thinking: Exploring, Inventing, and Discovering Mathematics

          
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About the Book

Filled with over 100 inquiry-based activities, Activities for Mathematical Thinking addresses the changing ways in which students learn and teachers teach mathematics.  The emphasis is on hands-on learning and an inductive, rather than deductive, approach to mathematics. Organized in 11 sections, activities range from understanding number systems to developing geometric thinking to exploring part-whole relationships. While diverse in content and complexity, all activities emphasize inquiry and process and include recommended grade levels as well as NCTM process and content standards. Worksheets and handouts are provided in the back of the workbook to help support many of the activities.   FEATURES:   Explore-Invent-Discover strategies-Structures and guides mathematics investigations. Engaging student questions-Set a context and help focus the inquiry process. Exploration of hands-on methods and manipulatives-Lets students model and visualize mathematical situations and experience them directly. Printable and customizable forms, manipulatives, and worksheets outlined in activities are easily accessible on the Activity CD-ROM in the back of every copy of the text.   Problem-solving strategies. Each activity includes recommended grade levels and NCTM process and content standards. Descriptions of what teachers and students will do to prompt the learning process-Followed by discussions of approaches students might take toward understanding or solving problems.

Table of Contents:
SECTION I        Understanding Numbers   Finding the Numbers in Your Life Making Numbers Books How Tall is My Dino Counting with Cheerios Graphing with Candy Hearts, Jellybeans, or Gumdrops The Revolving Jar Walking on the Googol Side Up, Down, All Around--Show Me with Calculators   SECTION II       Understanding Number Systems and Place Value   My Math Journal How Much Money? How Big Am I?  How Big Are You? Exploring Place Value with Blocks How Much is That Pet? Filling-up or Filling-out: How Much Will Fit in Each Place on the Calculator Display? Quipus The Circle of Time What if You Had a Million Dollars? Discovering Eight World (6-8) The 250-mile Race   SECTION III      Working with Whole Numbers: Addition and Subtraction   Animals, Numbered and On the Town: A Bilingual Lesson in Spanish and English Change for More/Change for Less One-handed Fingermath: Part I: Counting All and On to Add Single-Digit Numbers One-handed Fingermath: Part II: Counting Up and Down to Subtract Single-Digit Numbers Exploring Multi-unit Concepts with Base-10 Blocks Adding Multi-unit Numbers with Base-10 Blocks Subtracting Multi-unit Numbers with Base-10 Blocks $100 Shopping Spree Adding and Subtracting with Chinese Stick Math   SECTION IV      Working with Whole Numbers: Multiplication and Division   "A Remainder of One" Two-handed Fingermath Jumping Critters: Kids, Frogs, and Bugs Multiplication and Division: Maps of Facts Writing Mathematics: Telling Tales by the Numbers Modeling Multiplication Modeling Division Calculating with Chinese Stick Math   SECTION V       Discovering Geometry and Developing Geometric Thinking   Friendship Quilt 7 "Magic" Pieces: Tangrams "Buggy" Geometry Exploring the Many Facets of Geometry Tangrams and Grandfather Tang's Story Building Polygons and Polyhedrons with Gumdrops and Toothpicks Symmetry and Geometric Transformations: Creating a Frieze Pattern Spinning Polygons Dimensions: Exploring Flatland Origami Zoo (4-8)   SECTION VI      Understanding and Using Measurement Concepts   How Much Time Does It Take To ______________________? Exploring Perimeter and Area with Froot Loops LOGO's Turtle Math Making Measurement Tools with Nonstandard and Standard Units Cooking on the Oregon Trail with Nonstandard and Standard Measurements Estimating Length, Volume, and Weight Boiling Potato for Inca Time Sir Cumference Measuring Pi Tessellating Polygons Tangram Conundrum   SECTION VII     Algebraic Thinking   More M&M Math Making and Guessing Patterns Pictographs Writing Story Problem The Pool Problem Patterns and Functions Anno's Magic Seeds (3-5) Playing Algebra with Equate Equivalence Golden Rectangle   SECTION VIII    Working with Data   Mini Gardens Collecting Data in Our Worlds "Pigs Will Be Pigs": Collecting Data and Money Waste Collection and Graphing Exploring Data in the Bigger World Rolling the Dice A Slice of the Pie: Percents and Pie Charts Are You Hot?  Are You Cold?  Finding Mean, Median, and Mode $10,000 Stock Market Contest Probability: Coin Tossing   SECTION IX      Understanding Fractions   Tortilla Fractions Hershey Bar Fractions Writing and Identifying Fraction Kits Introduction to Fractions Learning Fractions with Pictures M&M Fractions, Data, and Prediction Pi as a Fraction The Fractions of Time Fractions and Space/Distance Finding Fractions in Your Life   SECTION X       Exploring Part-Whole Relationships: Decimals and Percents   Decimals and Percents in the Newspaper Shopping by the Numbers Modeling Decimal Numbers with Base-10 Blocks Connecting Fractions, Decimals, Percents with Virtual Manipulatives Rounding Playing Concentration with Parts of Wholes Finding Decimals and Percents in Your World Fractions to Decimals and Percents with Fraction Strips Fractions to Decimals: Repeating Decimals and Rounding Percents, Decimals, and the Dream Vacation Do Women and Men Work for Equal Pay in Sports? Population Percentages   SECTION XI       Building Bridges   Real Numbers in the Workplace Real Numbers at the Zoo Irrational Numbers, A Pattern Activity Is Pi Measurable? The Golden Ratio, Phi and Physical Beauty Real Numbers, Math Games, and AlphaNumeric Puzzles Functions and Straight Lines Functions: Straight Line Graphing Linear Equations using Intercepts Trailmix Ratios M&M Count and Crunch, Fractions and Ratios with M&M's  


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Product Details
  • ISBN-13: 9780130987426
  • Publisher: Pearson Education (US)
  • Publisher Imprint: Pearson
  • Depth: 6
  • Height: 276 mm
  • No of Pages: 272
  • Series Title: English
  • Sub Title: Exploring, Inventing, and Discovering Mathematics
  • Width: 210 mm
  • ISBN-10: 0130987425
  • Publisher Date: 04 Oct 2006
  • Binding: Paperback
  • Edition: PAP/CDR
  • Language: English
  • Returnable: Y
  • Spine Width: 10 mm
  • Weight: 522 gr


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