AMSER
https://amser.org/index.php?P=Home
AMSER (the Applied Math and Science Education Repository) provides educational resources and services built specifically for use by those in Community and Technical Colleges but free for anyone to use.en-usealmasy@scout.wisc.eduealmasy@scout.wisc.eduSun, 20 Apr 2014 00:00:00 -0500Thu, 17 Apr 2014 00:00:00 -0500http://www.rssboard.org/rss-2-0-1Mathematical Physics (MathPages)
https://amser.org//index.php?P=FullRecord&ResourceId=16392
https://amser.org//index.php?P=FullRecord&ResourceId=16392This site includes a number of mathematical lessons that relate directly to physics topics. Each link provides a short example that would provide helpful supplemental materials in mathematics or science education (particularly in physics or astronomy curriculum). The lessons cover a variety of topics like gravity, motion, waves and astronomy.Wed, 9 Feb 2011 03:00:02 -0600Number Theory (MathPages)
https://amser.org//index.php?P=FullRecord&ResourceId=16390
https://amser.org//index.php?P=FullRecord&ResourceId=16390This site includes materials on a variety of topics relating to general number theory. Each link provides a short example that would provide helpful supplemental materials in mathematics education. The lessons vary from simple algebra to more advanced topics.Fri, 7 Jan 2011 03:00:01 -0600Mathematical History (MathPages)
https://amser.org//index.php?P=FullRecord&ResourceId=16391
https://amser.org//index.php?P=FullRecord&ResourceId=16391This site includes a number of mathematical lessons that help to illustrate historical math concepts. Each link provides a short example that would provide helpful supplemental materials in mathematics education. The lessons cover a variety of topics like negative numbers, square roots, and interdisciplinary science topics.Thu, 6 Jan 2011 03:00:02 -0600Introduction to Data Analysis: the Rules of Evidence
https://amser.org//index.php?P=FullRecord&ResourceId=5732
https://amser.org//index.php?P=FullRecord&ResourceId=5732This online book about data analysis is in PDF format, with the table of contents viewable on the Web, by two professors in biology and mathematical social sciences. The text covers such items as: Description - the picture that's worth the words; Variation: numbers for the variation, numbers for the average; Well-Behaved Variables: the unit of measure; and The Unit of Analysis: facts about what?Thu, 4 Dec 2008 03:00:02 -0600Wallpaper Groups: The Discontinuous Groups of Rotation and Translation in the Plane
https://amser.org//index.php?P=FullRecord&ResourceId=5734
https://amser.org//index.php?P=FullRecord&ResourceId=5734An undergraduate tutorial on wallpaper groups, with illustrations of the 17 wallpapers groups and a wallpaper gallery. Technically, the derivation of all discontinuous groups of rotation and translation in the plane. Contents include: Some Theorems on Rotation and Translation; The Discontinuous Groups of Rotation and Translation in the Plane; Derivation and Classification of Groups; Appendix: The 17 Wallpaper Groups (with a Wallpaper gallery); and References and Related Web Sites. Hosted by the Math Forum.Thu, 4 Dec 2008 03:00:01 -0600Lawrence Hall of Science (LHS)
https://amser.org//index.php?P=FullRecord&ResourceId=2258
https://amser.org//index.php?P=FullRecord&ResourceId=2258A science museum and research center at the University of California, Berkeley, dedicated increasing public understanding and enjoyment of science, and to improving pre-college science and mathematics education. Includes teacher education, exhibits, public programs, programs for schools, publications, and a museum store. Designed as a memorial to Ernest O. Lawrence, the inventor of the cyclotron and the University's first Nobel Prize winner (1939).Mon, 29 Sep 2008 03:00:07 -0500Encyclopedia of Triangle Centers
https://amser.org//index.php?P=FullRecord&ResourceId=5739
https://amser.org//index.php?P=FullRecord&ResourceId=5739A searchable catalogue of hundreds of special triangle points (centroid, incenter, Hofstadter points, Yff centers, Apollonius point, etc.), with a glossary, collinearities, graphics, and links to biographical sketches of geometers, geometry software and sites, and more. For pictures and constructions of selected cases, see Triangle Centers.Mon, 22 Sep 2008 03:00:02 -0500Triangle Centers
https://amser.org//index.php?P=FullRecord&ResourceId=5740
https://amser.org//index.php?P=FullRecord&ResourceId=5740A listing, with description and illustration, of 20th-century triangle centers (including: Schiffler Point, Exeter Point, Parry Point, congruent isoscelizers point, Yff Center of Congruence, isoperimetric point and equal detour point, Ajima-Malfatti Points, Apollonius Point, Morley Centers, Hofstadter Points, and equal parallelians points) and some classical triangle centers (including: centroid, incenter, circumcenter, orthocenter, Fermat Point, nine-point center, symmedian (or Lemoine) point, Gergonne point, Nagel point, Mittenpunkt, Spieker center, Feuerbach point, isodynamic points, and Napoleon points), as well as other references (to print works) and a list of journals that frequently publish items of interest to triangle geometers.Mon, 22 Sep 2008 03:00:02 -0500Dave's Short Trig Course
https://amser.org//index.php?P=FullRecord&ResourceId=5745
https://amser.org//index.php?P=FullRecord&ResourceId=5745An introduction and a guide to trigonometry, with hints and answers to exercises, and Java applets as illustrations. Contents include applications of trigonometry, angle measurement, chords, sines, cosines, tangents and slope, the trigonometry of right triangles, the trigonometric functions and their inverses, oblique triangles, and a summary of trigonometric identities.Mon, 22 Sep 2008 03:00:02 -0500Fermat's Last Theorem
https://amser.org//index.php?P=FullRecord&ResourceId=5749
https://amser.org//index.php?P=FullRecord&ResourceId=5749This essay, from J.J. O'Connor and E.F. Robertson of the University of St. Andrews describes Fermat's theorem with links to mathematicians such as Sophie Germain, Legendre, Dirichlet, Shimura and Taniyama, etc., from its inception through Andrew Wiles' proof, with another web site and 17 references (books/articles).Mon, 22 Sep 2008 03:00:01 -0500An Introduction to Projective Geometry
https://amser.org//index.php?P=FullRecord&ResourceId=5737
https://amser.org//index.php?P=FullRecord&ResourceId=5737The contents of this paper include: The Projective Plane; Projective Space; Projective Geometry Applied to Computer Vision; Demonstration of Cross Ratio in P^1; and a bibliography. (Euclidean geometry is a subset of projective geometry, and there are two geometries between them: similarity and affine.) Also at http://vision.stanford.edu/~birch/projective/.Fri, 19 Sep 2008 03:00:05 -0500Non-Euclidean Geometry
https://amser.org//index.php?P=FullRecord&ResourceId=5741
https://amser.org//index.php?P=FullRecord&ResourceId=5741From J. J. O'Connor and E. F. Robertson at the University of St. Andrews in Scotland, this page covers Euclid's Elements through the end of the 1800's, with 23 references (books/articles). Each important name is a link to a brief biography and bibliography.Fri, 19 Sep 2008 03:00:05 -0500Set Theory and Foundations
https://amser.org//index.php?P=FullRecord&ResourceId=5742
https://amser.org//index.php?P=FullRecord&ResourceId=5742About 90 "informal notes" by Kevin Brown on set theory and foundations: what is fuzzy logic, fractal logic, Cantor's diagonal proof, are all triangles isosceles, on Gauss's mountains, problems with the luminiferous aether, and many more.Fri, 19 Sep 2008 03:00:05 -0500Continued Fractions: An Introduction
https://amser.org//index.php?P=FullRecord&ResourceId=5743
https://amser.org//index.php?P=FullRecord&ResourceId=5743A brief introduction to the field of continued fractions, including some basic theory about the subject; the history of continued fractions, tracing some of the major developments in the field in the past 2500 years; some interactive applications that demonstrate the uses of continued fractions and let you calculate them; and the resources used in creating this site, including a bibliography and links to other sites on the Web.Fri, 19 Sep 2008 03:00:05 -0500The Trigonometric Functions
https://amser.org//index.php?P=FullRecord&ResourceId=5746
https://amser.org//index.php?P=FullRecord&ResourceId=5746Linked essay sketching trigonometry from its beginnings out of the early correspondence between astronomy and mathematics through the 18th century, with 17 references (books/articles). Influential thinkers addressed here include Menelaus, Ptolemy, Rheticus, Cavalieri, Viète, De Moivre, and Cotes. Each name is linked to a brief biography and annotated bibliography about each person.Fri, 19 Sep 2008 03:00:05 -0500