Dr. Sanford Aranoff
Currently Adjunct Associate Professor of Science and Mathematics at Rider University
High school educator, including mentoring new mathematics teachers
List of publications:
Here are of my most recent papers. See
where several are published.
"Postulates of Special Relativity", Physics Essays 26, 1
Physicists state that a postulate of special relativity is the constancy
of the speed of light, when the truth is that the only postulate
is the inertial postulate. We will say a few words about misconceptions
about relativity in general. We need to think more deeply to be sure to
impart correct ideas to our students.
"The Aura of Einstein and General Relativity", philica.com, article number 192 (2010).
"Basic Assumptions and Black Holes", Physics Essays 22, 559 (2009).
Science develops by initially proposing hypotheses to explain phenomena, then creating a formal
consistent mathematical framework, verified by experiment and observation,
called a scientific theory. This theory must exclude solutions that violate basic
physical principles or yield inconsistent mathematics.
The crossing of the event horizon of the black hole is an extension of the theory,
but is not part of the theory, for the mathematics is not consistent,
and the results violate basic principles.
Statements incorrectly based on theories may be obstacles to the advance of science.
One needs to understand the philosophical underpinnings of science,
and how one can tease out the hidden assumptions of a theory.
Teaching and Helping Students
These are things I said teaching to help clarify the ideas to the students.
This will help students to think better and clearer, to enjoy school and to be happy,
to do better on tests and to get better grades, and to be more successful in life.
Teachers and profesors can read this to get ideas how to better teach and to relate to the students.
There is nothing as exciting as working with young minds!
This file which you can read now contains selections
from the book.
It is organized like a Help file, with table of contents, topics
and subtopics, index, and search.
Click here to read selections from the book.
Copyright © by Dr. Sanford Aranoff.
Some things in the book:
Why do elephants have big ears?
Why do we not fall when leaning on a moving bicycle?
Arithmetic and geometric mean
Boredom in school. If you feel good, you understand it correctly.
Here is what some teachers wrote:
This is an excellent resource for math teachers, both secondary and otherwise.
I am a first year teacher and have been searching for resources like this -
I saved it to disk and will definitely refer to it again!
I found your classroom tips to be valuable and will put them into practice in my classroom!
Excellent ideas and techniques!
Thank you! This has much more than how to teach math and science. It's a great resource!
"Cosmic rays create clouds"
Sunspot activity is responsible for climate change, not human activity.
"Time Does Not Exist, and the Incompleteness of Knowledge"
PHILICA.COM Article number 188 (2010).
Current physical theory is that time does not exist. This paper gives simple
clarifications of this idea. It incudes a discussion of God.
What is time? The future does not exist, as it did not yet happen.
The past exists only in our memories and in records.
When physicists speak about the fourth dimension as time,
they mean ict, where c is the speed of light and i is an imaginary number:
(x, y, z, ict).
Since time exists only in our imagination, it is fitting to multiply t by i.
"Abortion and the Beginning of a Person"
PHILICA.COM Article number 189 (2010).
The views of various writers on abortion are discussed. Kenny quotes the Bible saying abortion is murder.
Kenny's errors in readings from the Bible, and his ignoring self-defense, are discussed,
along with the use of the Bible to discuss American law and our morals.
Warren uses philosophical arguments to say a fetus is not a person.
These diverse viewpoints are reconciled by saying abortion is immoral but not murder.
Moral questions regarding abortion are discussed.
A novel philosophical idea, the reality of organization, is introduced to differentiate between a fetus and a baby.
Defining personhood based on organization has implications for the future as computers
become more powerful than people.
"Professors Substituting In High School"
Published in Gifted Education Press Quarterly,Winter 2013 .
"Lessons We Can Learn from Bill Gates’ Dropping Out of Harvard University"
Published in Gifted Education Press Quarterly, Fall 2011.
"To Educate the Gifted, We Need To Stress Basic Principles"
Published in Gifted Education Press Quarterly, Winter 2009.
"How is a Teacher of the Gifted Supposed to Teach?"
Published in Gifted Education Press Quarterly, Fall 2009.
"What Young Teachers of the Gifted Need to Know and Do"
Published in Gifted Education Press Quarterly, Winter 2008.
"The Black Hole War: My Battle with Stephen Hawking to Make the World Safe for Quantum Mechanics,"
Review on of the book on
Click on customer reviews.
Some more papers in peer-reviewed physics journals:
Equilibrium in Special Relativity
Few-Phonon Structure Functions for Liquid Helium II
Other publications on various subjects:
Suggestions and thoughts:
Reestablishment of modern Israel and its continuing survival is clearly predicted in the Bible.
Here are some suggestions and thoughts that have helped me over the years, which I am happy to share with you:
Give people attention. Focus on each person. Keeping people happy is an excellent objective.
Presentations: Conclusion, significance, supporting details. The wrong way is topic,
sentence, body, conclusion.
Here are ideas about thinking. Don't rush - think.
What's the problem?
1. Ask yourself, "What's the
problem (or difficulty)?" Check that it is correctly stated.
2. Start from the beginning.
3. It you do not know how to start, pause, relax, and study it. Jot down possible
ideas. Put your full attention on each detail of the
theory and problem.
4. Check everything.
How to check:
1. See if it is worked out orderly.
Be sure that the work is neat.
2. Routine check down the line
to see if everything is correct.
3. Study, think, and analyze concepts
if they are correct. Be sure that you know what everything means, and why.
4. Check arithmetic, signs, units,
formulas, numerical quantities, algebra,
5. Check if anything omitted. Check
that everything is checked properly.
6. Review it after a pause of
a moment, hour, or a couple of days. Check everything. Apply it. Discuss
it with someone else.
The idea is to start from the
beginning and to check every single thing several ways.
True for thinking,
checking, memorizing, and explaining.