Activities for Mathematical Thinking

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

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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.show more

Product details

  • Paperback | 272 pages
  • 208.3 x 271.8 x 12.7mm | 521.64g
  • Pearson Education (US)
  • Pearson
  • United States
  • English
  • 0130987425
  • 9780130987426
  • 2,016,525

Back cover copy

Engage your students with "Activities for Developing Mathematical Thinking: Exploring, Inventing, and Discovering Mathematics." This volume offers more than 100 activities that foster the development of mathematical thinking through guided inquiry. Aligned with the NCTM standards, each activity follows a three-step inquiry process -- explore, invent, discover -- to help develop your students' conceptual understanding of mathematics.show more

Table of contents

SECTION I Understanding Numbers Finding the Numbers in Your LifeMaking Numbers BooksHow Tall is My DinoCounting with CheeriosGraphing with Candy Hearts, Jellybeans, or GumdropsThe Revolving JarWalking on the Googol SideUp, Down, All Around--Show Me with Calculators SECTION II Understanding Number Systems and Place Value My Math JournalHow Much Money?How Big Am I? How Big Are You?Exploring Place Value with BlocksHow Much is That Pet?Filling-up or Filling-out: How Much Will Fit in Each Place on the Calculator Display?QuipusThe Circle of TimeWhat 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 EnglishChange for More/Change for LessOne-handed Fingermath: Part I: Counting All and On to Add Single-Digit NumbersOne-handed Fingermath: Part II: Counting Up and Down to Subtract Single-Digit NumbersExploring Multi-unit Concepts with Base-10 BlocksAdding Multi-unit Numbers with Base-10 BlocksSubtracting Multi-unit Numbers with Base-10 Blocks$100 Shopping SpreeAdding and Subtracting with Chinese Stick Math SECTION IV Working with Whole Numbers: Multiplication and Division "A Remainder of One"Two-handed FingermathJumping Critters: Kids, Frogs, and BugsMultiplication and Division: Maps of FactsWriting Mathematics: Telling Tales by the NumbersModeling MultiplicationModeling DivisionCalculating with Chinese Stick Math SECTION V Discovering Geometry and Developing Geometric Thinking Friendship Quilt7 "Magic" Pieces: Tangrams"Buggy" GeometryExploring the Many Facets of GeometryTangrams and Grandfather Tang's StoryBuilding Polygons and Polyhedrons with Gumdrops and ToothpicksSymmetry and Geometric Transformations: Creating a Frieze PatternSpinning PolygonsDimensions: Exploring FlatlandOrigami Zoo (4-8) SECTION VI Understanding and Using Measurement Concepts How Much Time Does It Take To ______________________?Exploring Perimeter and Area with Froot LoopsLOGO's Turtle MathMaking Measurement Tools with Nonstandard and Standard UnitsCooking on the Oregon Trail with Nonstandard and Standard MeasurementsEstimating Length, Volume, and WeightBoiling Potato for Inca TimeSir CumferenceMeasuring PiTessellating PolygonsTangram Conundrum SECTION VII Algebraic Thinking More M&M MathMaking and Guessing PatternsPictographsWriting Story ProblemThe Pool ProblemPatterns and FunctionsAnno's Magic Seeds (3-5)Playing Algebra with EquateEquivalenceGolden Rectangle SECTION VIII Working with Data Mini GardensCollecting Data in Our Worlds"Pigs Will Be Pigs": Collecting Data and MoneyWaste Collection and GraphingExploring Data in the Bigger WorldRolling the DiceA Slice of the Pie: Percents and Pie ChartsAre You Hot? Are You Cold? Finding Mean, Median, and Mode$10,000 Stock Market ContestProbability: Coin Tossing SECTION IX Understanding Fractions Tortilla FractionsHershey Bar FractionsWriting and IdentifyingFraction KitsIntroduction to FractionsLearning Fractions with PicturesM&M Fractions, Data, and PredictionPi as a FractionThe Fractions of TimeFractions and Space/DistanceFinding Fractions in Your Life SECTION X Exploring Part-Whole Relationships: Decimals and Percents Decimals and Percents in the NewspaperShopping by the NumbersModeling Decimal Numbers with Base-10 BlocksConnecting Fractions, Decimals, Percents with Virtual ManipulativesRoundingPlaying Concentration with Parts of WholesFinding Decimals and Percents in Your WorldFractions to Decimals and Percents with Fraction StripsFractions to Decimals: Repeating Decimals and RoundingPercents, Decimals, and the Dream VacationDo Women and Men Work for Equal Pay in Sports?Population Percentages SECTION XI Building Bridges Real Numbers in the WorkplaceReal Numbers at the ZooIrrational Numbers, A Pattern ActivityIs Pi Measurable?The Golden Ratio, Phi and Physical BeautyReal Numbers, Math Games, and AlphaNumeric PuzzlesFunctions and Straight LinesFunctions: Straight Line Graphing Linear Equations using InterceptsTrailmix RatiosM&M Count and Crunch, Fractions and Ratios with M&M'sshow more