Education formally is a social science that encompasses teaching and learning specific knowledge, beliefs, and skills. Good teachers in a given field use a variety of methods and materials in order to impart a knowledge of a curriculum to the students. Informally, teaching is the process of learning how things work including numbers, reading and language that are taught by parents and other members of the student's culture. There has been a plethora of journals, magazines, books, and digests in the field of education that addresses these areas. Such literature addresses the teaching practices, with subjects that include lectures, game playing, testing, scheduling, record keeping, bullying, seating arrangements, interests, motivation, and computer access. However, the most important factors in any teacher's effectiveness is the interaction with students and the knowledge and personality of the teacher. The best teachers are able to translate knowledge of a subject, good judgment, experience, and wisdom into a significant knowledge of a subject that is understood and retained by the student. It is their ability to understand a subject well enough they can convey its essence to a new generation of students that is needed by all teachers. The goal is to establish a foundation of knowledge base that allows the student to build on as they are exposed to different life experiences. The passing of knowledge from generation to generation (see socialisation) allows the student to grow into a useful member of society.

Courses and Lecture Notes in Number Theory - Compiled by Keith Matthews.
A Collection of Lecture Notes - Various topics by Franz Lemmermeyer.
A Self-learning Package in Elementary Number Theory - By Yui-Kin Ng, King-Shun Leung and Yiu-Kwong Man: Hong Kong Institute of Education. Report on the design and implementation.
Course Notes by Jim Milne - Algebraic number theory, Class field theory, Algebraic Geometry, Elliptic Curves, Modular functions and forms, Abelian varieties, Etale Cohomology. TeX, DVI, PS and PDF.
Meta Description: [ Mathematics site of J.S. Milne; course notes, preprints, and other manuscripts. ]
Elementary and Algebraic Number Theory - Course Notes by Ivan Fesenko, University of Nottingham. PS, PDF.
Elementary and Analytic Number Theory - Lecture notes by William Chen, used at Imperial College, University of London (PDF).
Elementary Number Theory - Lecture notes by Michael Filaseta, University of South Carolina, Fall 1997 (PS).
Elementary Number Theory - Lecture notes by Nigel Byott, University of Exeter (DVI,PDF,PS).
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Expositions and Notes - Topics in Sieve Theory and Combinatorial Number Theory. Ben Green, University of Bristol.
Introductory Number Theory - Lecture Notes by Don Rideout, Memorial University of Newfoundland. PDF and Maple worksheets.
Lecture Notes by John Cosgrave - Courses in Number Theory at St Patrick's College, Dublin.
Math Courses at UIC - Course handouts, lesson plans, and other resources compiled by Dan Bernstein.
Notes on Elementary Number Theory - By Bruce Ikenaga, Millersville University (PS).
Paul Garrett's Lecture Notes - With exercises and course material. Topics include Algebraic Number Theory; Automorphic (Modular) Forms, Representations, L-functions.
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Topics in Combinatorial Number Theory - Lecture notes by Van Vu, UCSD (PDF).
Using Mathematica in a Course on Number Theory - By Kenneth Kramer, Queens College (CUNY). Abstract with text in PDF.
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