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Dr. Sanford Aranoff
Currently Adjunct Associate Professor of Science and Mathematics at Rider University
High school educator, including mentoring new mathematics teachers
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!
It is organized like a Help file, with table of contents, topics
and subtopics, index, and search.
This file which you can read now contains selections
from the book.
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!
"Time Does Not Exist, and the Incompleteness of Knowledge"
Current physical theory is that time does not exist. This paper gives simple
clarifications of this idea. It incudes a discussion of God.
"What Young Teachers of the Gifted Need to Know and Do"
Published in Gifted Education Press Quarterly, Winter 2008.
Some papers in peer-reviewed physics journals:
Few-Phonon Structure Functions for Liquid Helium II
Equilibrium in Special Relativity
Torques and Angular Momentum on a System at Equilibrium in Special Relativity
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.
5. Smile.
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,
each item
separately.
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.
Comments:
The idea is to start from the
beginning and to check every single thing several ways.
True for thinking,
checking, memorizing, and explaining.
Smile!
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