# Teacher Topics

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

Lecturing: There Are Better Ways ToTeach

ConcepTests and Peer Instruction

Peer Instruction Network

“Teacher” is an inaccurate title

Game-like Engagement

To Use A Textbook, Or Not?

Flipped Classroom: It’s About Timely Formative Feedback

Race To Nowhere: Conclusions

The Cost of Education

Cost effective adult education: might it influence secondary education?

## Teaching Mathematics

Life Skills Learned In Math Class

Math: Pen vs Pencil

Uncover the Hidden Game

Integrating Mathematics With Other Subjects

Re-thinking Our High School Math Curriculum

Scheduling for Curricular Depth and Challenge

Procedural vs Intuitive Approaches

Notation & Concept

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

Student Response Clickers

GeoGebra is Great!

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

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 Unit Circle Graph

Interactive Sine Function Graph

Interactive Cosine Function Graph

## Being a Successful Student

11 Ways To Do Better in Math

Studying to Understand vs Studying to Memorize

Learn the Game of Learning

Ten Skills Every Student Should Learn

Problems fall into four categories

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

What Is Algebra?

Summary: Algebra

Equivalence Deserves More Attention

Algebra Intro 1: Numbers and Variables

Algebra Intro 3: Subtraction

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 8: Division

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

Simplifying Fractions

Negative Fractions

Negative Differences

Multiplication

It’s True! 3x = (3)(x)

Operations are taught in pairs

Inverse Musings: + and –

Combining Like Terms

Inverse Musings: * and /

On the origin of algebra problems

One Step Linear Equation Problems

Two Step Linear Equation Problems

Three Step Linear Equation Problems

Summary: Linear Equations

Word Problems… !#\$%@;*!!

Summary: Systems Of Linear Equations

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

Multiplying Polynomials and FFFT!

Procedures for “Completing the Square”

Keep Your Eye On The Variable

Polynomials and VEX Drive Motor Control

Summary: Roots and Rational Exponents

Logarithms

Function Notation

Function Translations: How to recognize and analyze them

Function Dilations: How to recognize and analyze them

Domain, Range, and Co-Domain

Piecewise Functions and Relations

Solving Absolute Value Equations

Sigma and Pi Notation

Arithmetic Sequences and Series

Geometric Sequences and Series

## Trigonometry Concepts

Angle Measures

GeoGebraBook Exploring Unit Circle Symmetry