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Algebra 1

Algebra is more than solving equations, of which there are multiple ways – a fact that is also part of Algebra. Yes, a bunch of topics are thrown together into a course called Algebra. But they are not as unrelated as they might seem to be. Developing problem solving strategies and mathematical ways of thinking are important abilities to acquire, no matter what the course is called. Should Pascal's triangle and Fibonacci numbers be in a course called Algebra? If not, where? Maybe there should...
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Algebra 2

Algebra 2/Trig - Been there, done that. I've developed lots of my own material, seen from student perspectives, to make all of it more meaningful to them.

Equations, inequalities, functions, quadratic formula, imaginary numbers, logs, and laws of sines and cosines - a collection of topics designed to fill two semesters. And yet there are patterns and connections among them, not always brought out – surprises to discover and such – that can make the material more meaningful, and enhance...
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Chemistry

I have taught high school chemistry, through which I stress unifying principles and patterns that apply across the whole study of chemistry – often not brought out in textbooks (which can make chemistry seem like a myriad of isolated facts to be memorized). And with my math background I make easy work of problems involving math, including molarity problems, with my own table setup that guaranties doing correct procedures. And my library science background has helped me locate excellent resources,...
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Geometry

Geometry, as typically presented, has so much to memorize about lines and angles, triangles and other polygons, along with circles and all kinds of angles formed by lines therein and thereon.

But there are approaches to Geometry that involve less memorizing and more meaningful understanding of what is involved, in contrast to memorizing lots of unrelated facts.

Through working with students, I have developed lots of my own approaches and materials, some of which I have written...
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Prealgebra

My experiences teaching and tutoring middle school math have given me insights into the difficulties students typically face, and the teaching methods that typically lead to these difficulties. They learn one procedure for one type of problem, that procedure for that type of problem, and on and on. I’ve seen students cross multiply when they’re not sure what to do because it seems to work on some problems. I like to ask students “Do you get the picture of what’s going on?” Math developed as a...
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Precalculus

Pre-Calculus (Post Algebra?)

Looking for an easier more meaningful way to learn this stuff?

The usual stuff in greater depth, plus matrices and more on e, and analytic geometry. Another motley collection of topics gathered into “a course,” where connections and patterns nonetheless abound, waiting to be discovered - and thus more meaningful than memorizing a mass of unrelated facts. Be prepared for some surprises - beyond the standard textbook/teaching way.

I have...
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Elementary (K-6th)

After obtaining an MLS degree in library science, I have had several jobs as a school library media specialist in K-6 schools, working with students on research assignments, finding information both in the LMC and online, helping students pursue areas of interests, etc.

I have also been involved with homeschooling groups, attended homeschooling conferences, and written about homeschooling, as well as developing curriculum theory in my writings and speaking at educational conferences.

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Music History

My family’s getting a phonograph in my youth started me on an unquenchable journey of discovering a world of music I had never known, that involved weekly trips to the library for recordings - a self-induced crash learning adventure like nothing I have ever experienced. I read a few books during this period, but my main guide was the Schwann catalog - any music that had more than a few recordings had to be discovered. I know the major works of every notable composer. In college I took courses...
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Study Skills

I have an MLS degree in Library and Information Science, specializing in education and doing research, along with several years of teaching. I have also developed curriculum theory and written about self-directed learning and life-long learning, and I have been involved with homeschoolers, attended homeschooling conferences, and had several pieces published in Growing Without Schooling.

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Computer Science

I became a FORTRAN programmer (learned on the job) as a Seismologist, the only programmer in my department. I learned and taught BASIC programming in high school. I took college courses in Assembly Language Programming, Terrapin Logo (with a teaching practicum), and PASCAL. I took a technology course in library school in which I was the only one to develop an efficient alphabetical search algorithm. I investigated object oriented programming OOP like Eiffel on my own, and know quite a bit about...
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Regents

I have tutored all Regents math, at the Lancaster Youth Center and The Learning Experience in Elma, plus a student at home for Lancaster Schools in Algebra 2 from October to June. I have review books in all Regents math.

I taught Regents Chemistry and have also tutored and subbed in Regents Earth Science. My index to the Regents Earth Science Reference Tables was published in the Science Teachers Bulletin, which, after enhancements and revisions, I have given to dozens of Earth Science teachers...
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