Mathematics for Elementary Teachers with Activities, 5th edition

Published by Pearson (January 1, 2021) © 2018

  • Sybilla Beckmann

Pearson+ subscription

ISBN-13: 9780137442812
Mathematics for Elementary Teachers with Activities
Published 2021

eTextbook features

  • Instant access to eTextbook
  • Search, highlight, and notes
  • Create flashcards
  • Audio with read-along
Products list

Details

  • Loose-leaf, 3-hole-punched pages
  • Free shipping
Products list

Access details

  • Pearson+ eTextbook with study tools
  • Instant access once purchased
  • Register with a Course ID, a link from your instructor or an LMS link (Blackboard™, Canvas™, Moodle or D2L®)

Features

  • Interactive digital learning experience
  • Help when and where you need it
  • Instant feedback on assignments
  • Apps and study tools

Table of Contents

I. SOCIAL CHOICE

  1. The Mathematics of Elections: The Paradoxes of Democracy
    • 1.1 The Basic Elements of an Election
    • 1.2 The Plurality Method
    • 1.3 The Borda Count Method
    • 1.4 The Plurality-with-Elimination Method
    • 1.5 The Method of Pairwise Comparisons
    • 1.6 Fairness Criteria and Arrow’s Impossibility Theorem
    • Conclusion
    • Key Concepts
    • Exercises
  2. The Mathematics of Power: Weighted Voting
    • 2.1 An Introduction to Weighted Voting
    • 2.2 Banzhaf Power
    • 2.3 Shapley-Shubik Power
    • 2.4 Subsets and Permutations
    • Conclusion
    • Key Concepts
    • Exercises
  3. The Mathematics of Sharing: Fair-Division Games
    • 3.1 Fair-Division Games
    • 3.2 The Divider-Chooser Method
    • 3.3 The Lone-Divider Method
    • 3.4 The Lone-Chooser Method
    • 3.5 The Method of Sealed Bids
    • 3.6 The Method of Markers
    • Conclusion
    • Key Concepts
    • Exercises
  4. The Mathematics of Apportionment: Making the Rounds
    • 4.1 Apportionment Problems and Apportionment Methods
    • 4.2 Hamilton’s Method
    • 4.3 Jefferson’s Method
    • 4.4 Adams’s and Webster’s Methods
    • 4.5 The Huntington-Hill Method
    • 4.6 The Quota Rule and Apportionment Paradoxes
    • Conclusion
    • Key Concepts
    • Exercises

II. MANAGEMENT SCIENCE

  1. The Mathematics of Getting Around: Euler Paths and Circuits
    • 5.1 Street-Routing Problems
    • 5.2 An Introduction to Graphs
    • 5.3 Euler’s Theorems and Fleury’s Algorithm
    • 5.4 Eulerizing and Semi-Eulerizing Graphs
    • Conclusion
    • Key Concepts
    • Exercises
  2. The Mathematics of Touring: Traveling Salesman Problems
    • 6.1 What Is a Traveling Salesman Problem?
    • 6.2 Hamilton Paths and Circuits
    • 6.3 The Brute-Force Algorithm
    • 6.4 The Nearest-Neighbor and Repetitive Nearest-Neighbor Algorithms
    • 6.5 The Cheapest-Link Algorithm
    • Conclusion
    • Key Concepts
    • Exercises
  3. The Mathematics of Networks: The Cost of Being Connected
    • 7.1 Networks and Trees
    • 7.2 Spanning Trees, MSTs, and MaxSTs
    • 7.3 Kruskal’s Algorithm
    • Conclusion
    • Key Concepts
    • Exercises
  4. The Mathematics of Scheduling: Chasing the Critical Path
    • 8.1 An Introduction to Scheduling
    • 8.2 Directed Graphs
    • 8.3 Priority-List Scheduling
    • 8.4 The Decreasing-Time Algorithm
    • 8.5 Critical Paths and the Critical-Path Algorithm
    • Conclusion
    • Key Concepts
    • Exercises

III. GROWTH

  1. Population Growth Models: There Is Strength in Numbers
    • 9.1 Sequences and Population Sequences
    • 9.2 The Linear Growth Model
    • 9.3 The Exponential Growth Model
    • 9.4 The Logistic Growth Model
    • Conclusion
    • Key Concepts
    • Exercises
  2. Financial Mathematics: Money Matters
    • 10.1 Percentages
    • 10.2 Simple Interest
    • 10.3 Compound Interest
    • 10.4 Retirement Savings
    • 10.5 Consumer Debt
    • Conclusion
    • Key Concepts
    • Exercises

IV. SHAPE AND FORM

  1. The Mathematics of Symmetry: Beyond Reflection
    • 11.1 Rigid Motions
    • 11.2 Reflections
    • 11.3 Rotations
    • 11.4 Translations
    • 11.5 Glide Reflections
    • 11.6 Symmetries and Symmetry Types
    • 11.7 Patterns
    • Conclusion
    • Key Concepts
    • Exercises
  2. Fractal Geometry: The Kinky Nature of Nature
    • 12.1 The Koch Snowflake and Self-Similarity
    • 12.2 The Sierpinski Gasket and the Chaos Game
    • 12.3 The Twisted Sierpinski Gasket
    • 12.4 The Mandelbrot Set
    • Conclusion
    • Key Concepts
    • Exercises
  3. Fibonacci Numbers and the Golden Ratio: Tales of Rabbits and Gnomons
    • 13.1 Fibonacci Numbers
    • 13.2 The Golden Ratio
    • 13.3 Gnomons
    • 13.4 Spiral Growth in Nature
    • Conclusion
    • Key Concepts
    • Exercises

V. STATISTICS

  1. Censuses, Surveys, Polls, and Studies: The Joys of Collecting Data
    • 14.1 Enumeration
    • 14.2 Measurement
    • 14.3 Cause and Effect
    • Conclusion
    • Key Concepts
    • Exercises
  2. Graphs, Charts, and Numbers: The Data Show and Tell
    • 15.1 Graphs and Charts
    • 15.2 Means, Medians, and Percentiles
    • 15.3 Ranges and Standard Deviations
    • Conclusion
    • Key Concepts
    • Exercises
  3. Probabilities, Odds, and Expectations: Measuring Uncertainty and Risk
    • 16.1 Sample Spaces and Events
    • 16.2 The Multiplication Rule, Permutations, and Combinations
    • 16.3 Probabilities and Odds
    • 16.4 Expectations
    • 16.5 Measuring Risk
    • Conclusion
    • Key Concepts
    • Exercises
  4. The Mathematics of Normality: The Call of the Bell
    • 17.1 Approximately Normal Data Sets
    • 17.2 Normal Curves and Normal Distributions
    • 17.3 Modeling Approximately Normal Distributions
    • 17.4 Normality in Random Events
    • Conclusion
    • Key Concepts
    • Exercises

Answers to Selected Exercises

Credits

Index

Index of Applications

Need help? Get in touch