Mr. Appledorf

 (36)
United States - California - San Francisco
Mr. Appledorf
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35 votes
"That anything exists at all is an unfathomable mystery".
 
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Mr. Appledorf's On-Line PowerPoint Math Lessons Solving Systems of Equations Algebraically Objectives: Students will solve systems of linear equations by substitution and by elimination, multiplying first of necessary. NCTM
$5.00
1 rating
4.0
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Mr. Appledorf's On-Line PowerPoint Math Lessons Negative Exponents Objectives: Students will demonstrate that negative exponents represent the reciprocals of expressions and that any number, except zero, to the zeroth power is 1. Students
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Mr. Appledorf's On-Line PowerPoint Math Lessons Graphing Quadratic Functions Objectives: Students will explain how the roots of quadratic equations and the x-intercepts of quadratic functions are related. Students will explain how to use the
$5.00
3 ratings
4.0
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Mr. Appledorf's On-Line PowerPoint Math Lessons Slope Objectives: Students will explain what slope is, compute slope, and demonstrate how the slopes of perpendicular, parallel, horizontal, and vertical lines are related. NCTM
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Mr. Appledorf's On-Line PowerPoint Math Lessons Graphing Linear Inequalities Objectives: Students will explain how solution sets for inequalities in two variables are represented using a coordinate plane. Students will graph inequalities and
$10.00
2 ratings
4.0
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Mr. Appledorf's On-Line PowerPoint Math Lessons Coordinates and Ordered Pairs Objectives: Students will explain how to map physical locations and logical correspondences using coordinates. NCTM Standards: Students use mathematical models
$5.00
1 rating
4.0
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Mr. Appledorf's On-Line PowerPoint Math Lessons Lines From Equations Objectives: Students will graph equations given in standard and slope-intercept form. NCTM Standards: Students understand relations and functions and select, convert
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Mr. Appledorf's On-Line PowerPoint Math Lessons Systems of Linear Equations Objectives: Students will explain how to solve a system of linear equations graphically and will practice doing so. NCTM Standards: Students recognize and use
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3 ratings
4.0
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Mr. Appledorf's On-Line PowerPoint Math Lessons Factoring Monomials Objectives: Students will find the Greatest Common Factor (GCF) of 2 or more monomials, simplify quotients of monomials, factor polynomials that have a GCF, and divide a
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Mr. Appledorf's On-Line PowerPoint Math Lessons Factoring Perfect Squares Objectives: Students will recognize and factor polynomials that are a difference of perfect squares or a product of a binomial squared. NCTM Standards: Students
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Mr. Appledorf's On-Line PowerPoint Math Lessons Fractions and Decimals Objectives: Students will demonstrate that every rational number is or can be converted to a fraction and show why non-terminating, non-repeating decimal numbers
$5.00
2 ratings
4.0
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Mr. Appledorf's On-Line PowerPoint Math Lessons Multiplying and Dividing Fractions Objectives: Students will demonstrate why division is a form of multiplication and will use this insight to multiply and divide algebraic fractions. NCTM
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Mr. Appledorf's On-Line PowerPoint Math Lessons Points and Lines Objectives: Students will explain how to represent relations algebraically, numerically, and geometrically and demonstrate how these representations are related. NCTM
$5.00
1 rating
4.0
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Mr. Appledorf's On-Line PowerPoint Math Lessons Inequality and the Number Line Objectives: Students will explain how inequality is represented on a number line and with mathematical symbols. They will explain how the domain of a variable
$5.00
2 ratings
4.0
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Mr. Appledorf's On-Line PowerPoint Math Lessons Factoring By Hand Objectives: Students will explain how to factor trinomials that do not have a GCF, are not a difference of perfect squares, and are not the product of a binomial squared.
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4.0
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Mr. Appledorf's On-Line PowerPoint Math Lessons Advanced Factoring Techniques Objectives: Students will factor trinomials in which the coefficient of the first term ≠ 1, factor polynomials by grouping, and ensure that all factors are
$5.00
2 ratings
4.0
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Mr. Appledorf's On-Line PowerPoint Math Lessons Scientific Notation Objectives: Students will explain how scientific notation works and how to use it. Students will practice expressing big and small numbers in scientific notation. NCTM
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Mr. Appledorf's On-Line PowerPoint Math Lessons Linear Equation Forms Objectives: Students will explain and use methods to convert between point-slope, standard, and slope-intercept form and decide when and how to use each one. NCTM
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Mr. Appledorf's On-Line PowerPoint Math Lessons Graphing Absolute Value Objectives: Students will graph equations in the form y = | ax + b | + c and associated inequalities. NCTM Standards: Students analyze and evaluate the mathematical
$8.00
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Mr. Appledorf's On-Line PowerPoint Math Lessons Systems of Linear Inequalities Objectives: Students will graph systems of linear inequalities, transforming to slope-intercept form first if required. Students will demonstrate how to identify a
$10.00
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TEACHING EXPERIENCE

In college in the 1960's I discovered that I have a knack for helping people understand technical ideas, and I have used this talent ever since in many contexts, from modeling biological systems using mathematics, to doing research and development in the telecommunications software industry, to tutoring kids and adults in math, to teaching math part-time at several high schools.

MY TEACHING STYLE

I've noticed that emphasis in schools seems to be put on training kids to perform mechanical operations, and despite this focus, a surprising number of kids have no idea why or when to use the procedures they are taught. I don't say this to be critical of the truly remarkable people I have met who teach, and I don't think it's a question of bad teaching. I think it's a question of how people learn and what schools are asked to accomplish.

To learn anything, a person has to interact in a consciously involved way with what is being learned. A student has to mull over the subject matter, examine it from a number of points of view, think about it in a lot of different ways, gradually piecing together connections that make sense out of the new material in terms of what is already known.

The PowerPoint lessons I've posted on this website do not drill students on performing mechanical operations. They provide opportunities to interact with mathematical ideas and are intended to give students a better understanding of when and why to perform the procedures they are taught in school. The focus here is on what math is, what it does, and why it works.

These lessons animate the core concepts in high school math, literally, allowing students to watch ideas unfold. And they are interactive, so students can step back and forth across the points in a train of thought as it develops, thinking things though at one's own pace and putting new ideas together in ways that satisfy and mean something to oneself.

High school math provides an essential foundation upon which further technical study depends. Fluency not only with mechanical operations, but even more importantly with mathematics as a way to model both concrete and abstract relationships, is a prerequisite for contributing something to science, making intelligent management decisions, and developing new technologies.

Math is also fun, because everyone has a brain, and like every other part of the body, it feels good when you use it.

HONORS/AWARDS/SHINING TEACHER MOMENT

Phi Beta Kappa

MY OWN EDUCATIONAL HISTORY

B.A. Biology, Clark University, 1967
M.S. Physiology, UCLA, 1969
Course work in Computer Science, CSUS, 1980-1983
Course work in Education, Sonoma State, 2003-2005

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