101+ Great Ideas for Introducing Key Concepts in Mathematics A Resource for Secondary School Teachers

ISBN-10: 1412927064

ISBN-13: 9781412927062

Edition: 2nd 2006 (Revised)

List price: $39.95 Buy it from $10.67
30 day, 100% satisfaction guarantee

If an item you ordered from TextbookRush does not meet your expectations due to an error on our part, simply fill out a return request and then return it by mail within 30 days of ordering it for a full refund of item cost.

Learn more about our returns policy


From commonly taught topics in algebra, geometry, trigonometry and statistics, to more advanced explorations into indirect proofs, binomial theorem, irrationality, relativity and more, this guide outlines equations and techniques. It brings a perspective to secondary math instruction useful for students and teachers.
Used Starting from $26.97
what's this?
Rush Rewards U
Members Receive:
You have reached 400 XP and carrot coins. That is the daily max!
Study Briefs

Limited time offer: Get the first one free! (?)

All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.

Customers also bought

Book details

List price: $39.95
Edition: 2nd
Copyright year: 2006
Publisher: Corwin Press
Publication date: 5/12/2006
Binding: Paperback
Pages: 296
Size: 6.75" wide x 9.50" long x 0.50" tall
Weight: 1.144
Language: English

Herbert A. Hauptman is a world-renowned mathematician who pioneered and developed a mathematical method that has changed the whole field of chemistry. For this work he was recipient of the 1985 Nobel Price in chemistry. With this book Dr. Hauptman brings his highly sophisticated knowledge of mathematics and his many years of exploration in higher mathematics to the advantage of secondary school audience.nbsp;

Alfred S. Posamentier is professor of mathematics education and dean of the School of Education at the City College of the City University of New York. He has authored and co-authored several resource books in mathematics education for Corwin Press.

About the Authors
Introductory Idea
Coming to Terms With Mathematical Terms
Algebra Ideas
Introducing the Product of Two Negatives
Multiplying Polynomials by Monomials (Introducing Algebra Tiles)
Multiplying Binomials (Using Algebra Tiles)
Factoring Trinomials (Using Algebra Tiles)
Multiplying Binomials (Geometrically)
Factoring Trinomials (Geometrically)
Trinomial Factoring
How Algebra Can Be Helpful
Automatic Factoring of a Trinomial
Reasoning Through Algebra
Pattern Recognition Cautions
Caution With Patterns
Using a Parabola as a Calculator
Introducing Literal Equations: Simple Algebra to Investigate an Arithmetic Phenomenon
Introducing Nonpositive Integer Exponents
Importance of Definitions in Mathematics (Algebra)
Introduction to Functions
When Algebra Explains Arithmetic
Sum of an Arithmetic Progression
Averaging Rates
Using Triangular Numbers to Generate Interesting Relationships
Introducing the Solution of Quadratic Equations Through Factoring
Rationalizing the Denominator
Paper Folding to Generate a Parabola
Paper Folding to Generate an Ellipse
Paper Folding to Generate a Hyperbola
Using Concentric Circles to Generate a Parabola
Using Concentric Circles to Generate an Ellipse
Using Concentric Circles to Generate a Hyperbola
Summing a Series of Powers
Sum of Limits
Linear Equations With Two Variables
Introducing Compound Interest Using the "Rule of 72"
Generating Pythagorean Triples
Finding Sums of Finite Series Geometry Ideas
Geometry Ideas
Sum of the Measures of the Angles of a Triangle
Introducing the Sum of the Measures of the Interior Angles of a Polygon
Sum of the Measures of the Exterior Angles of a Polygon: I
Sum of the Measures of the Exterior Angles of a Polygon: II
Triangle Inequality
Don't Necessarily Trust Your Geometric Intuition
Importance of Definitions in Mathematics (Geometry)
Proving Quadrilaterals to Be Parallelograms
Demonstrating the Need to Consider All Information Given
Midlines of a Triangle
Length of the Median of a Trapezoid
Pythagorean Theorem
Simple Proofs of the Pythagorean Theorem
Angle Measurement With a Circle by Moving the Circle
Angle Measurement With a Circle
Introducing and Motivating the Measure of an Angle Formed by Two Chords
Using the Property of the Opposite Angles of an Inscribed Quadrilateral
Introducing the Concept of Slope
Introducing Concurrency Through Paper Folding
Introducing the Centroid of a Triangle
Introducing the Centroid of a Triangle Via a Property
Introducing Regular Polygons
Introducing Pi
The Lunes and the Triangle
The Area of a Circle
Comparing Areas of Similar Polygons
Relating Circles
Invariants in Geometry
Dynamic Geometry to Find an Optimum Situation
Construction-Restricted Circles
Avoiding Mistakes in Geometric Proofs
Systematic Order in Successive Geometric Moves: Patterns!
Introducing the Construction of a Regular Pentagon
Euclidean Constructions and the Parabola
Euclidean Constructions and the Ellipse
Euclidean Constructions and the Hyperbola
Constructing Tangents to a Parabola From an External Point P
Constructing Tangents to an Ellipse
Constructing Tangents to a Hyperbola
Trigonometry Ideas
Derivation of the Law of Sines: I
Derivation of the Law of Sines: II
Derivation of the Law of Sines: III
A Simple Derivation for the Sine of the Sum of Two Angles
Introductory Excursion to Enable an Alternate Approach to Trigonometry Relationships
Using Ptolemy's Theorem to Develop Trigonometric Identities for Sums and Differences of Angles
Introducing the Law of Cosines: I (Using Ptolemy's Theorem)
Introducing the Law of Cosines: II
Introducing the Law of Cosines: III
Alternate Approach to Introducing Trigonometric Identities
Converting to Sines and Cosines
Using the Double Angle Formula for the Sine Function
Making the Angle Sum Function Meaningful
Responding to the Angle-Trisection Question
Probability and Statistics Ideas
Introduction of a Sample Space
Using Sample Spaces to Solve Tricky Probability Problems
Introducing Probability Through Counting (or Probability as Relative Frequency)
In Probability You Cannot Always Rely on Your Intuition
When "Averages" Are Not Averages: Introducing Weighted Averages
The Monty Hall Problem: "Let's Make a Deal"
Conditional Probability in Geometry
Introducing the Pascal Triangle
Comparing Means Algebraically
Comparing Means Geometrically
Gambling Can Be Deceptive
Other Topics Ideas
Asking the Right Questions
Making Arithmetic Means Meaningful
Using Place Value to Strengthen Reasoning Ability
Prime Numbers
Introducing the Concept of Relativity
Introduction to Number Theory
Extracting a Square Root
Introducing Indirect Proof
Keeping Differentiation Meaningful
Irrationality of the Square Root of an Integer That Is Not a Perfect Square
Introduction to the Factorial Function x!
Introduction to the Function x to the (n) Power
Introduction to the Two Binomial Theorems
Factorial Function Revisited
Extension of the Factorial Function r! to the Case Where r Is Rational
Prime Numbers Revisited
Perfect Numbers
Free shipping on orders over $35*

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

Learn more about the TextbookRush Marketplace.