Wm George Mandras

Rated 5 out of 5, based on 1 reviews

9 Followers

Ventura, California, United States

About the store

Aerospace engineer, retired 1996: 35-year career as a technical specialist in aircraft and space vehicle structures. 9/89-9/04 Oxnard Community College - part time faculty 9/84-6/86 West Coast University - part time faculty Taught undergraduate students in Engineering Economic Analysis, Experimental Methods for Engineers, Static's & Strength of Materials, Materials Science, Introduction to Engineering, Engineering Design (CAD), Elementary & Intermediate Algebra, Linear Algebra, College Algebra, Fundamentals of Arithmetic. 1/68 - 3/71: College of Aeronautics - Assistant Professor Taught undergraduate students in Strength of Materials, Materials test laboratory, Thermodynamics, Engineering Design, Aircraft Structural Analysis, Mechanics, and Introduction to Computers.

All resources

Search resources

Hands As A Calculator

Created by

Wm George Mandras

Hands As A Calculator By William G Mandras, © 2006, 2017 All Rights Reserved Prologue: The late Jakow Trachtenberg, founder of the Mathematical Institute in Zurich, Switzerland, and the originator of a startling new system in arithmetic, Trachtenberg’s pencil and paper arithmetic has been converted to hand-calculations. Hand-calculations are enabled by the correspondence between the fingers of the hands and the basic numbers, zero-to-nine, in base-ten numerations. All memory is association

K - 7th

Arithmetic, Basic Operations, Other (Math)

Visual and Numerical Solution of Algebraic Equations

Created by

Wm George Mandras

The textbook method, Axiomatic Reduction to obtain Reflective Symmetry, (x = a), currently in vogue in all the algebra textbooks in print, is arguably the most difficult way possible to find the solution of an algebraic equation. Because all students must be proficient in algebra in order to graduate from high school or proceed in their college major, this book presents the alternative methods for the solution of algebraic equations that provides a resource, other than a textbook, for the studen

2nd - 12th, Higher Education

Algebra, Algebra 2

What is Algebra

Created by

Wm George Mandras

It is a mystery why anyone would write a textbook on algebra and routinely fail to define the subject. So what is algebra? Algebra is the language of higher mathematics, but it is not just another language. Algebra is an abstract symbolic language plus reasoning; it is a language with the rules of logic built-in. The structure of algebra: assumption-deduction-conclusion, transforms the language into not only a tool for reasoning in that it enables the connection of one statement to another, but

7th - 12th, Adult Education, Higher Education

Algebra, Algebra 2, Informational Text

Modern Methods in Arithmetic

Created by

Wm George Mandras

There is compelling evidence that mathematical ability, like all human abilities, is normally distributed. Whatever the student population is in K-12, one-half that population will be below average in mathematical ability. One way to help all students but especially those that occupy the left half of the distribution is to simplify the arithmetic procedures as much as possible; to that end this book was written. Basic Numbers in Base-10 numerations: (0 1 2 3 4 5 6 7 8 9) Define, 9’s Complement

1st - 6th, Adult Education

Arithmetic, Basic Operations, Mental Math

Showing 1-4 of 4 results

About the store

Experience

Teaching style

In mathematics, I teach both the explicit-axiomatic and implicit-visual methods in parallel. One of my teaching techniques consists in demonstrating that every example problem in the textbook, which uses the axiomatic method exclusively, can be solved more easily through the use of numerical techniques that produce symmetry. The state-mandated criteria require the solution of at least 70% of the algebra problems to pass with a "C" or better. The criteria do not require that the students solve the equations in the most difficult way possible.

Awards & shining teacher moments

Best teacher award 1970 at the College of Aeronautics. Most of my students appreciate an intuitive method that enables them to do and understand algebra, many for the first time. This is evidenced by the written remarks made on the unsigned evaluation sheets which are overwhelmingly positive. These are typical and authentic remarks because they are anonymous: 1.This is the first time I have ever understood math. Mr. Mandras is my favorite Professor. 2. Mr. Mandras is an excellent math instructor and has helped me overcome my math fears. He encourages students to believe that they can achieve. 3. Mr. Mandras has shown me a different side of Algebra. It is not as intimidating once he has explained it. I am thankful for having an instructor like him on this campus.

My own education history

Education: MSME, New York Polytechnic University, New York NY. BSME, Drexel University, Philadelphia PA. Professional: Registered Professional Engineer, CA & CO - Mechanical. California Community College Instructor Credentials: Engineering & Mathematics. Member: American Society for Engineering Education. Member: National Council of Teachers of Mathematics (NCTM)

Additional biographical information

Married to wife Marty for 38 years, two daughters, one granddaughter and one yet-to-be-born grandchild. Daughters are a nurse and a teacher; granddaughter is a biology major at a state university.