Mathematics Notes
Introduction:
* Characterized as a search for abstract patterns
* The fact that if you take two of anything and another two you end up with four of that thing * Any circle no matter the size, if you take its circumference divide in by its diameter you end up with the value 3.14… * Mathematics not only gives certainty but practical value * Galileo: book of nature is written in mathematics

* Mathematics also “leaves us with nowhere to hide” because in other subjects the answer is usually dependent upon interpretation, but in math there is only one answer and if you get it wrong you’re wrong. * Thinking in terms of mathematics requires a person to disregard context and consider things at an abstract level * In the expert written by Phillip Roth, Nathan’s dad gives him a math problem involving a clothing dealer trying to sell an old overcoat by reducing the price. Instead of focusing on the word problem Nathan observes the oddity of the situation and the details. This supports the idea of looking at mathematics from an abstract point of view without regarding details. The Mathematical Paradigm:

* ‘ the science of rigorous proof’
* Euclid (300 B.C.) was the “first person to organize geometry into a rigorous body of knowledge” and his theories have had a major influence on civilization. * He developed a formal system that consisted of three parts: * Axioms

* Deductive reasoning
* Theorems
* Axioms:
* “starting points or basic assumpstions”
* There are requirements for a set of axioms:
* Consistent: If you can deduce a variable and its opposite from a set of axioms that that is inconsistent. Inconsistency if allowed into a system causes there to be a proof for just about anything. * Independent: You should begin with the smallest number of axioms and you should not be able to deduce an axiom from another because then that makes...

...JOURNAL – NOTE TAKING AND UNIVERSITY STUDENTS WITH LEARNING DIFFICULTIES : WHAT SUPPORTS ARE NEEDED? (Ann Maydosz and Sharon A Raver, Old Dominion University)
Lecture notes play an important role in preparing for examinations, as it may ensure the success of students. Many students do not have adequate note-taking skills, and this contribute a lot to the creation of incomplete and unrelated notes (Kiewra, 2002). Researchers...

...Should a Student Take Notes During College?
When students reach college-level academics, note taking becomes a major role in the effective learning of college students. Studies have shown that effective note taking results in higher academic grades. There are a high number of students in colleges today that are receiving poor grades due to failing tests or quizzes over material that was taught to them but not remembered. The vast majority of...

... Taking notes during lectures is very beneficial to students in a number of ways. One, which is to remember and it will save student time relying on memory later on. You can be an amazing listener, but unless you have good note taking skills, it will be hard for you to remember what the teacher said in previous lectures. For notes to become useful, they should be well structured and you can go through them over and over so that the information remains...

...both subject searches | |
|and keyword searches. |You are researching a speech and need to learn how the meaning of|
|When taking research notes, it is important to make a distinction|the word “science” has changed historically. Which of the |
|between direct quotations, paraphrases, and your own ideas. |following would be the best reference source to...

...three major points:
• The history of thank you notes
• How to write an effective thank you letter
• How to select the best channel to deliver a thank you letter
THE HISTORY OF THANK YOU NOTES
According to eHow website, the origin of thank you notes goes all the way back to ancient Egyptian and Chinese cultures, where people were exchanging the messages of kindness and friendliness on slips of papyrus. In the 1400s, Europeans were exchanging...

...Equations.
Despite the fact that these are my “class notes”, they should be accessible to anyone wanting to learn Algebra or needing a refresher for algebra. I’ve tried to make the notes as self contained as possible and do not reference any book. However, they do assume that you’ve had some exposure to the basics of algebra at some point prior to this. While there is some review of exponents, factoring and graphing it is assumed that not a lot of...

...Learn Note-making
Note making is an advanced writing skill which is acquiring increasing importance due to knowledge explosion. There is a need to remember at least the main points of any given subject. Making notes is a complex activity which combines several skills.
How to make notes
* Read the passage carefully.
* Heading
What is the main idea of the passage? Frame a heading based on the central idea and write it in the...

...Note Taking
Note taking skills are important part of being successful in school. Learning various types of note taking and tips can help you study or do homework more efficient. There are five different types of note taking methods. Each method is great for keeping your notes in order, Cornell, outline, mapping, charting and sentence method.
The Cornell method provides a systematic format for organized...