Writing clearly helps promote clear thinking, so we will focus some of our attention on learning to write more clearly. 

An overall guideline is to write proofs in a form that you could understand if you looked back at the assignment a year after completing the course (try this with previous work!) or in a form that is understandable to another student who is not in the course with you.

Writing for each assignment should follow guidelines for that assignment and all previous assignments. 

These guidelines are adapted from those developed by Dr. Tracy Payne. 

Abbreviations are as follows:

(M)	Mechanics
(P)	Presentation
(O)	Organization
(L)	Logic
(E)	Enhancement

Assignment 1.3

(M)	Use complete, clear, concise, grammatically correct English sentences.
(P)	Include carefully drawn, precise pictures to illustrate your proof.  Clearly label on the picture the information you are given or derive in the course of your proof.

Assignment 1.5

(O)	Use organizational structure and short phrases to make the direction and intent clear to the reader.  Use indentation, skipped lines, headings, and phrases like "first we will show", "next", "the last step is", "we are now able to", and others to tell the reader where you are headed.
(L)	Good writing requires and should reflect clear thinking.  Be careful to justify each conclusion you draw as following by hypothesis or from a previous theorem or result.

Assignment 2.2 & 2.3

(P)	Include sufficient detail so the reader can easily follow the train of thought.
(L)	Each object you use in the course of your proof must either be chosen to be arbitrary, assumed to exist, or shown to exist. You must explicitly and carefully state the origin of any object you refer to.

Assignment 2.4 & 2.5

(L)	When you apply a theorem or previous result, it should be clear which objects you are applying it to.
(L)	When you apply a theorem or previous result, you should fully justify in your proof that the hypothesis of the theorem is satisfied.