The art of motivating students for mathematics instruction /
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Author / Creator: | Posamentier, Alfred S. |
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Imprint: | Dubuque : McGraw-Hill Humanities/Social Sciences/Languages, c2012. |
Description: | ix, 115 p. : ill. ; 24 cm. |
Language: | English |
Series: | The practical guide series Practical guide series (McGraw-Hill Companies) |
Subject: | |
Format: | Print Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/8831059 |
Table of Contents:
- Introduction
- Chapter 0. The Art of Motivating Students for Mathematics Instruction
- What Is Motivation
- Chapter 1. Indicate a Void in Students' Knowledge
- Topic: The Introductory Lesson on the Tangent Ratio
- Topic: Special Quadrilaterals
- Topic: Determining the Measure of an Angle Formed by Two Secants to a Circle
- Topic: Tangent Segments to the Same Circle
- Topic: Introducing Heron's Formula to Finding the Area of a Triangle
- Topic: Introducing the Quadratic Formula
- Topic: The Introductory Lesson on Imaginary Numbers
- Topic: Finding the Sum and Product of the Roots of a Quadratic Equation
- Topic: The Introduction to Exponential Equations
- Chapter 2. Discover a Pattern
- Topic: Counting Techniques
- Topic: Introducing Non-Positive Integer Exponents
- Topic: Caution with Patterns
- Topic: The sum of the Measure of the Interior Angles of a Polygon
- Topic: Introduction to Counting Combinations
- Chapter 3. Present a Challenge
- Topic: Introducing the Order of Operations
- Topic: Determining Prime Numbers
- Topic: Algebraic Applications
- Topic: Introducing the Concept of ¿
- Topic: Understanding the Value of ¿
- Topic: Introducing the Circumference of a Circle
- Topic: Finding the Sum of the Interior Angles of a Polygon
- Topic: Proving Triangles Congruent
- Topic: Introducing Geometric Series
- Chapter 4. Entice the Class with a "Gee-whiz" Amazing Mathematical Result
- Topic: Introducing the Nature of Proof
- Topic: Thales' Theorem
- Topic: Introducing the Nature (or Importance) of Proof
- Topic: Considering Division by Zero
- Topic: The Introductory Lesson on Sample Space in Preparation for Probability
- Topic: Introduction to the Concept of Area, or Looking Beyond the Expected
- Topic: Introduction to the Area of a Circle or to Finding Areas of Similar Figures
- Topic: Infinite Geometric Series
- Chapter 5. Indicate the Usefulness of a Topic
- Topic: Introduction to Proportions
- Topic: Applying Algebra
- Topic: Introduction to Similar Triangles
- Topic: Introducing Modular Arithmetic
- Topic: Introduction to the Concurrency of the Angle Bisectors of a Triangle
- Topic: Determining the Volume of a Right Circular Cylinder
- Topic: Introduction to Probability-Expected Outcomes
- Topic: Introducing the Product of the Segments of Two Intersecting Chords of a Circle
- Topic: Introduction to the Concurrency of the Altitudes of a Triangle
- Chapter 6. Use Recreational Mathematics
- Topic: Identifying Factors of Numbers
- Topic: Understanding Percents
- Topic: Reinforce Some Logical Thought in Mathematical Work
- Topic: Rationalize the Denominator of a Fraction
- Topic: Applications of Algebra Explaining Arithmetic Peculiarities
- Topic: Applications of Algebraic Counterintuitive Peculiarities
- Topic: Introduction to Divisibility Rules, Especially Divisibility by 11
- Topic: Application of Algebraic Solutions to Digit Problems
- Chapter 7. Tell a Pertinent Story
- Topic: Introducing Divisibility Rules
- Topic: Introduction to the Value of ¿
- Topic: Introduction to Prime Numbers
- Topic: Finding the Sum of an Arithmetic Series
- Topic: Introduction to the Pythagorean Theorem
- Topic: Introduction to the Centroid of a Triangle
- Topic: Introducing the Law of Sines
- Topic: Volume and Surface Area of a Sphere
- Topic: Discovering a Prime Producing Function
- Chapter 8. Get Students Actively Involved in Justifying Mathematical Curiosities
- Topic: Introducing Probability
- Topic: A Lesson on Digit Problems and Place Value
- Topic: Application of Digit Problems in Algebra
- Topic: Introducing Base-2 Number System
- Topic: Application of Digit Problems in Algebra, or Using Algebra to Justify an Arithmetic Peculiarity
- Topic: Introducing the Properties of the Midline of a Triangle
- Topic: Applying the Trigonometric Angle Sum Function
- Chapter 9. Employ Teacher-Made or Commercially Prepared Materials
- Topic: Introducing the Concept of a Function
- Topic: Developing the Formula for the Area of a Circle
- Topic: Developing the Sum of the Angles of a Triangle
- Topic: Introducing the Triangle Inequality
- Topic: Introducing the Pythagorean Theorem
- Topic: Extending the Pythagorean Theorem
- Topic: Introduction to Angle Measurement with a Circle: by Moving the Circle
- Topic: Concept of Similar Triangles
- Topic: Introducing Regular Polygons
- Topic: Introducing the Parabola
- Index