Wm George Mandras

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United States - California - Ventura
Wm George Mandras
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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,
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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
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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
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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
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TEACHING EXPERIENCE

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.

MY 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.

HONORS/AWARDS/SHINING TEACHER MOMENT

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 EDUCATIONAL 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.

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