Postings on this blog that are likely to be of interest to teachers, organized in sequence by topic where possible:

## Education in General

What A Parent Wants From A School

Unintended Consequences of a 0 – 100 Grading System

Short Assessment Grading: Add or Average?

Lecturing: There Are Better Ways ToTeach

ConcepTests and Peer Instruction

“Teacher” is an inaccurate title

Flipped Classroom: It’s About Timely Formative Feedback

Cost effective adult education: might it influence secondary education?

## Teaching Mathematics

Life Skills Learned In Math Class

Integrating Mathematics With Other Subjects

Re-thinking Our High School Math Curriculum

Scheduling for Curricular Depth and Challenge

Procedural vs Intuitive Approaches

Eight Attributes of Effective Activities, Problems, or Projects

Projects vs Problems in Math Class

“Hidden” Learning Objectives for a Linear Equations Problem or Project

Linear Equation Activity Ideas

The Purpose of High School Mathematics

Grant Wiggins on Mathematics Education

## Interactive Tools

Interactive Graphs for Exponential and Logarithmic Functions

## Interactive Graphs

**Linear Functions**

GeoGebraBook: Exploring Linear Functions, which contains:

Interactive Linear Function Graph: Slope-Intercept Form

Interactive Linear Function Graph: Point-Slope Form

Interactive Linear Function Graph: Standard Form

**Quadratic Functions**

GeoGebraBook: Exploring Quadratic Functions, which contains

Interactive Quadratic Function Graph: Factored Form

Interactive Quadratic Function Graph: Standard Form

Interactive Quadratic Function Graph: Standard Form – the effect of “b”

Interactive Quadratic Function Graph: Vertex Form

**Exponential & Logarithmic Functions**

GeoGebraBook: Exploring Exponential and Logarithmic Functions, which contains

Interactive Exponential Function Graph

Interactive Logarithmic Function Graph

**Rational Functions**

Interactive Rational Function Graph

**Trigonometric Functions**

GeoGebraBook: Exploring Unit Circle Symmetry

GeoGebraBook: Exploring Trig Functions, which contains

Interactive Sine Function Graph

Interactive Cosine Function Graph

## Being a Successful Student

Studying to Understand vs Studying to Memorize

Successfully Asking Questions In Class

Ten Skills Every Student Should Learn

Problems fall into four categories

Improve Your Math Grade: Use Scrap Paper

Lost points on a problem? What to do…

Solving Math Problems At The Board

Getting the most out of SAT Practice Test books

## Algebra Concepts

Equivalence Deserves More Attention

Algebra Intro 1: Numbers and Variables

Algebra Intro 4: Negative Numbers, Zero, Absolute Values, and Opposites

Algebra Intro 5: Addition, Subtraction, and Terms

Algebra Intro 6: Multiplication

Algebra Intro 7: Properties of Multiplication

Algebra Intro 9: Fractions, Reciprocals, and Properties of Division

Algebra Intro 10: Fractions and Multiplication

Algebra Intro 11: Dividing Fractions, Equivalent Fractions

Algebra Intro 12: Adding and Subtracting Fractions

Operations are taught in pairs

On the origin of algebra problems

Practice: One Step Linear Equation Problems

Practice: Two Step Linear Equation Problems

Practice: Three Step Linear Equation Problems

Practice: Ugly Linear Equation Problems

Summary: Systems Of Linear Equations

Linear Systems: Why Does Linear Combination Work (Graphically)?

Multiplying Polynomials and FFFT!

Procedures for “Completing the Square”

Polynomials and VEX Drive Motor Control

Summary: Roots and Rational Exponents

Function Transformations: Translation

Function Dilations: How to recognize and analyze them

Using Corresponding Points to Determine Dilation Factors and Translation Amounts

Piecewise Functions and Relations

Solving Absolute Value Equations

Arithmetic Sequences and Series

Geometric Sequences and Series

## Trigonometry Concepts

GeoGebraBook Exploring Unit Circle Symmetry