Mathematics education and M Guide - Resources and Review

Extensive reference resource detailing a range of mathematical operations and functions. Includes formulae relating to algebra, calculus, trigonometry, differential equations, and complex variables. Listings of the first 1000 prime numbers, the prime factorisation of the first 1000 integers, important constants, and a table of the common logarithms are also provided.
 
Links to teaching material on the Internet. Includes course syllabus assignments, lecture notes, exams, class calendars, multimedia textbooks etc.
 
Research centre at the University of Southampton. Access to people and articles in mathematics education. Global links to other mathematics education sites.
 
Intended to bring unusual and important mathematical ideas to the classroom. A project of the Computer Research and Applications Group at Los Alamos National Laboratory.
 
Course on measure theory, lebesque integration, and probability, offering students theorem proving strategies. Lessons cover Dynkin systems, measurability, complex measures, and the history of probability theory, with an electronic tutorial group for the discussion of topics.
 
Journal designed to assist undergraduate students to share ideas, propose problems, or have questions answered. Features articles relating to algebra and calculus problems, along with a guide to using Maple, a computer based algebra system.
 
Chance contains useful information for teaching any probability or statistics course which uses current news involving probability or statistical concepts.
 
A national centre set up to support and promote the use of computers in teaching mathematics at degree level throughout the UK.
 
The largest professional society of college and university mathematics teachers and students in the world. It aims to stimulate interest in mathematics by providing expository books and articles on contemporary mathematics and on recent developments at the frontiers of mathematical research, and by exchanging information about important events in the mathematical world. A major emphasis of the MAA is the teaching of mathematics at the college and university level.
 
Set of links to a large collection of activities, tutorials, lesson plans, projects and tools aimed at the educational sector. Broad subject categories include arts, business, English, foreign language, health and physical education, history and social studies, mathematics, science, technology, vocational education, education, and community interest.
 
Tips on how to study mathematics, approach problem solving, study for and take tests, and when and how to get help.
 
The Centre, established in 1986, is a focus for research and curriculum development in mathematics teaching and learning with the unifying aim of enhancing mathematical progress in schools and colleges. Includes mathematics resources, puzzles, games, computer programs, inservice courses, a comparative study of Maths GCSE exams, and the IMA journal 'Teaching Mathematics and its Applications'.
 
List of university mathematics departments in Ireland.
 
Section headings include Modeling with the Sine Function, The Six Trigonometric Functions, Derivatives of Trigonometric Functions and Integrals of Trigonometric Functions. Each section is accompanied by exercises.
 
Mathematics resources covering a range of topics including algebra, geometry, fractals, numerical analysis, statistics and trigonometry. Materials include bibliographies, images, photographs, problems, proofs, theories, conference proceedings and teaching materials. In addition to traditional subjects, the application of maths in art and music is considered and mathematics software is reviewed.
 
Series of examples of practical applications of mathematics and science topics in interesting settings in everyday life. The 70 subject keywords, such as cosine, logarithm and trigonometry, offer the simplest way to find a relevant example.
 
Project promoting science, engineering, technology (SET), and maths. Features national and local resources, help for students and teachers, business opportunities, information on careers, and education and training. Addresses the issue of women in scientific and technological fields in relation to the traditional gender imbalance.
 
Provides over 3000 logic and set theory proofs, each of which can be reduced to its fundamental axioms. Features notes on reading and understanding the proofs, and outlines the axioms underpinning propositional and predicate calculus, equality and substitution, and Zermelo
Fraenkel Set Theory.
 
Collection of materials related to mathematics education, including puzzles, problems, tests, articles, art and animations.
 
Information about Fibonacci Numbers, derived from adding two adjacent numbers in a sequence to obtain the next. Explains the origin of this number sequence using the tales of Fibonacci's Rabbits and Dudeney's Cows. Also offers information on the Golden Section, the ratio of two successive numbers in Fibonacci's series. Illustrative examples of how such number patterns appear in nature are given.
 
List of UK mathematics departments, centres and institutes.
 
Links to resources in mathematics and science for educators and students in secondary education.
 
Searchable directory of mathematicians holding details of all individuals who have received a doctorate in mathematics worldwide, giving their complete name, university attended, year awarded, dissertation title, and names of advisors.
 
Set of lessons and tests intended to help students review the maths and verbal skills tested by the US SAT test.
 
Discusses various issues arising from the addition of zero to the decimal system. Questions whether zero is positive or negative, odd or even, and what the presence of 'nothing' really means. The problem of dividing by zero is also addressed, along with the notion of infinity.
 
Links to departments of mathematics in universities worldwide.
 
Course on measure theory, lebesque integration, and probability, offering students theorem proving strategies. Lessons cover Dynkin systems, measurability, complex measures, and the history of probability theory, with an electronic tutorial group for the discussion of topics.
 
Interactive online program that solves mathematical problems. Provides solutions to problems involving polynomials, quadratic equations, radical expressions, calculus and trigonometry, complete with the steps taken to arrive at the answer. Free software for help with algebra is available for downloading.
 
Offers a listing of numbers translated into over 4,600 languages from around the world. Languages can be browsed via an active map.
 
Online version of ZDM, the international abstracting service in mathematical education. The database can be searched by author, article title, source of the article, classification of the article, year of publication, or a combination of these. The database covers the period from 1976 to the present day. Search results can be displayed in HTML, ASCII, Bibtex, DVI and PostScript, and in a long or short format.
 
Descriptions of selected mathematical concepts including the Pythagorean Theorem, Archimedes' Tombstone, the Mobius Strip, the Koch Snowflake Curve, Plateau's Problem, and Counting to Infinity.
 
Offers a basic scientific calculator, which provides a learning tool for fundamental mathematical concepts.
 
A directory of over 400 individuals currently working in mathematics education worldwide. The list may be browsed by country or in full.
 
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