Activities for Mathematical Thinking: Exploring, Inventing, and Discovering Mathematics / Edition 1

Activities for Mathematical Thinking: Exploring, Inventing, and Discovering Mathematics / Edition 1

by Joseph G.R. Martinez, Nancy C. Martinez
     
 

ISBN-10: 0130987425

ISBN-13: 9780130987426

Pub. Date: 08/21/2006

Publisher: Prentice Hall

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

Overview

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.

  • Product Details

    ISBN-13:
    9780130987426
    Publisher:
    Prentice Hall
    Publication date:
    08/21/2006
    Edition description:
    BK&CD-ROM
    Pages:
    272
    Product dimensions:
    8.30(w) x 10.80(h) x 0.41(d)

    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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