41. Early Math Strategy - References > Ministry Of Education / Ministry Of Training, Early math Strategy. The Report of the Expert Panel on Early math in Ontario, 2003 references. Ball, DL (2000). Bridging practices http://www.edu.gov.on.ca/eng/document/reports/math/references.html

What's New Elementary/Secondary Postsecondary Training/Jobs ... Related Sites Location : Home Publications Reports Early Math Strategy Early Math Strategy The Report of the Expert Panel on Early Math in Ontario, 2003 References Ball, D.L. (2000). Bridging practices: Intertwining content and pedagogy in teaching and learning to teach. Journal of Teacher Education, 51(3) Journal for Research in Mathematics Education, 20 Basile, C.G. (1999). The outdoors as a context for mathematics in the early years. In J.V. Copley (Ed.), Mathematics in the early years Bednarz, N. (2000). . In P. Blouin et L. Gattuso (Eds.), Learning and assessment of mathematics among Ontario francophone students in the early years . Retrieved November 11, 2002, from Education Quality and Accountability Office website Phi Delta Kappan Eager to learn: Educating our preschoolers . Washington, DC: National Academy Press. Brandt, R. (1991). On interdisciplinary curriculum: A conversation with Heidi Hayes Jacobs. Educational Leadership The 1999 National Survey of Child Development Associates (CDAs) . Paper presented at the Head Start National Research Conference, Washington, DC.

42. Regents Prep Math B PowerPoint Interactive Review Activity for math B (Level 1) Play using PowerPoint or play OnLine. Sections denoted with * have Graphing Calculator references. http://regentsprep.org/Regents/mathb/mathb.cfm

U N D E R C O N S T R U C T I O N Scroll down to see the "New!" (or updated) - May 2004 items that have been recently added. Formula Sheet About Exam Study Tips Hub: Math ... for Math B New!! PowerPoint Interactive Review Activity for Math B (Level 1) Play using PowerPoint or play On-Line. (opens in a new window) Each subtopic below contains a lesson page, an interactive student practice page, and a teacher resource page. Sections denoted with have Graphing Calculator references. 1. Mathematical Reasoning (5-10% of Regents Exam) A. Vocabulary Sheet for Proofs B. Theorem/Properties Sheet for Proof C. Direct Euclidean Proofs D. Direct Analytic Proofs (Coordinate Geometry) E. Indirect Euclidean Proofs What Proofs Have Been Asked on Math B? ... Why Study Proofs? (5-10% of Regents Exam) A. Nature of the Roots / Sum and Product of the Roots B. Algebraic Fractions Rationalize Denominators Simplify Algebraic Fractions (Polynomial Denominators) C.

43. Math: Reference math Reference references, charts, graphs, and tables in basic arithmetic, algebra, geometry, trigonometry, calculus, statistics and linear algebra. http://www.spacetransportation.org/Math/Reference/

Science Directory - Reference Home Search Add a Site Modify a Site ... Links SEARCH ADVANCED SEARCH RANDOM LINK Find this: CUSTOM LINKS Yoursite Another Area Somewhere else Home ... Math : Reference Prizes Tables Geometry Formulas and Facts - An excerpt from the 30th Edition of the CRC Standard Mathematical Tables and Formulas, covering the area of Geometry (minus differential geometry), by Silvio Levy. Numbers and Numerical Prefixes - Tables for Greek and Latin number values alone and as a part of other words. Digital Library of Mathematical Functions - This mockup gives an idea of the current ideas about the design and organization of the new Digital Library; these ideas are, of course, subject to change. Content only is only available in a few places. F2 - Math Formula Finder - Produces equations that match the name of the formula from a list. Can add onto the selection. Uses MathML coding. Math Assistance - Lists rules and formulas for a number of mathematical subjects, such as plotting graphics, functions, factoring, derivatives, integrals, matrices, vectors, and numerical analysis. In English, French and Turkish languages. Math Reference - References, charts, graphs, and tables in basic arithmetic, algebra, geometry, trigonometry, calculus, statistics and linear algebra.

44. References Sites. references. A H Lynn Worlfgang Haken. Alb Don Albers, ``Professor of (Magic) mathematics , math Horizons, February 1995, p1115. B C http://camel.math.ca/Education/mpsf/node10.html

Next: Subscribing to Mathematics Magazines Up: No Title Previous: References and Web Sites References Lynn Arthur Steen, editor, Mathematics today: twelve informal essays, Springer Verlag, 1978, see chapter by Kenneth Appel and Worlfgang Haken. Alb Don Albers, ``Professor of (Magic) Mathematics'', Math Horizons, February 1995, p11-15 Mehdi Behzad and Gary Chartrand, Introduction to the theory of graphs, Allyn and Bacon, 1971. Bak Aaron Bakst, Mathematical Puzzles and Pastimes, Princeton Van Nostrand, 1965. Bal Ber Elwyn R. Berlekamp, John Horton Conway, Richard K. Guy, Winning ways, for your mathematical plays, published by Academic Press, 1982. J.H. Conway and H.S.M. Coxeter, Triangulated polygons and frieze patterns, Math. Gaz. 57(1973) 87-94 (questions), 175-183 (answers). Conway and Guy, ``The Book of Numbers'', Springer, Copernicus Series, 1996, Chapter 2. H.M. Cundy and A.P. Rollett, Mathematical Models, Clarendon Press, 1966. Coxeter, DuVal, Flather and Petrie, The 59 Icosahedra, University of Toronto Press. Cha Masahiro Chatani, Pop-up greeting cards, Ondorisha Publishers, Ltd., 1986.

45. Mathematics And Music items as they float past me in cyberspace, and I went hunting for references in the I can t send you something else ; and I ve already made it as mathfree as http://www.math.niu.edu/~rusin/papers/uses-math/music/

Mathematics and Music Here are some collections of information about the interplay between music and mathematics. I have collected a bibliography of such items as they float past me in cyberspace, and I went hunting for references in the reviewing journal Mathematical Reviews for mentions of music. In addition I am interested in a few other specific topics. Special note to students: I am delighted that so many people seem to find this page when they are considering illustrating the connections between music and mathematics. Evidently this relationship has been explored in quite a few Science Fair projects; it is the basis for a number of classroom modules prepared by student teachers; it is the theme for essays in many general-studies courses in music or mathematics departments. At least, so I must surmise from the flow of mail! Yes, I am pleased that so many people find this topic interesting and I hope to hear about novel angles from which you will study it. But please, before you write to me, make sure you have something specific to tell me or ask me about, and make sure the question you ask isn't already answered here. As much as I like to yak about these ideas, I grow rather testy when I get mail which simply says "Saw your website; can you suggest a science fair topic?", or "Can you find any other way to explain to me why there are 12 notes in a scale? I need an explanation by tomorrow". I'm not hiding anything from you: everything I know is already here I can't "send you something else"; and I've already made it as math-free as I can without losing sight of the coolness of the math involved I can try to clarify a passage or two but won't "make it all really simple".

46. TeX LaTeX Help, especially for LaTeX2e. Comprehensive list of LaTeX Symbols; TeX Resources (UIUC); references for TeX and Friends; Penn math Home Page Contact us! http://www.math.upenn.edu/TeX.html

TeX Sources and Utilities CTAN , the Comprehensive TeX Archive Network attempts to have everything: packages, fonts, etc. CTAN Web Home Page ( List of CTAN sites, worldwide TeX and LaTeX Catalogue Packages and tools, mostly available on CTAN. CTAN Search CTAN Browse For AMSTeX and AMSLaTeX the best source is AMS TeX Resources . You may prefer direct FTP from AMS TeX and LaTeX Catalogue Packages and Tools (same as above), and TeX and LaTeX macros (87 KB gzip file) from 1992 but still useful. TeX/LaTeX to html converters (see also W3 Org's Math. Page primarily discusses MathML LaTeX to html converter. Converts non-text (such as formulas) to gif that all WWW graphic browsers can display. Useful but not perfect. Another way: use Adobe's Acrobat Distiller not free). This too has its difficulties. Yet another method is to preview the dvi file on your screen and "grab" the image, saving it as a gif that can be inserted in an html document. On Unix one can grab with programs such as ImageMagick's import or with xv . There are many similar programs for other platforms. test.dvi

47. Professional References For Math Professional references. Eisenhower National Clearinghouse (ENC). ENC contains a variety of educational resources for the teaching of math and science in grades http://www.luc.edu/schools/education/csipdc/profref.htm

Professional References Eisenhower National Clearinghouse (ENC). ENC contains a variety of educational resources for the teaching of math and science in grades 4-12. The site includes lessons, online publications, and services. ERIC Clearinghouse for Science, Mathematics and Environmental Education (ERIC/CSMEE). ERIC/CSMEE is the national clearinghouse for providing educational information, research, lesson plans, and materials for the teaching and learning of Science, Mathematics, and Environment. For mathematics resources, click here. The North Central Regional Educational Laboratory (NCREL) is a not-for-profit organization dedicated to helping schoolsand the students they servereach their full potential. NCREL is one of ten Regional Educational Laboratories. We provide research-based resources and assistance to educators, policymakers, and communities in Illinois, Indiana, Iowa, Michigan, Minnesota, Ohio, and Wisconsin. The Regional Educational Laboratories Math: Educational Standards and Curriculum Frameworks . Math: Educational Standards and Curriculum Frameworks is an annotated list of Internet sites with K-12 educational standards and curriculum frameworks documents. National Council of Teachers of Mathematics (NCTM). NCTM is the largest professional organization for improving the teaching of mathematics at all grade levels (K-12).

48. Hands-on Math: Activities For The Elementary Classroom Top of this page. references. Burns, Marilyn. About Teaching mathematics. (math Solutions Publications, 1992); Burns, Marilyn. The I Hate mathematics Book. http://www.dpgraph.com/janine/mathpage/handson.html

Hands-on Math: Activities for the Elementary Classroom This page describes activities in geometry, number patterns and topology that have been extensively tested on students in a public elementary school. Contents Contents of this page About Hands-On Math References Acknowledgement Getting in touch with Janine Math Lessons Topology The Mobius Band (All grade levels) The Euler Number of Solids (Grades 5 and up) Number Patterns Integer sequences (Grades 2 and 3) Combinatorics (Grades 3 and 4) Pascal's Triangle (Grades 4 and up) Generalized Fibonacci Sequences and the Golden Mean (Grades 5 and up) Data Compression (Grades 5 and up) (not yet in) Geometry Building symmetric solids with toothpicks and gumdrops (All grade levels) What's my angle? What's my angle? (Grades 1 through 3) Making an astrolabe. (Grades 3 and up) Adding polygon angles. (Grades 5 and up) The Pythagorean theorem. (Grades 5 and up) Back to Janine's Home Page Top of this page About Hands-On Math These pages describe activities I've developed as part of a math enrichment program for grades one through six at the West Kearns Elementary School in Utah. The program is now in its third year, and has been well received by teachers, students, and parents. The purposes of the program are to show children that mathematics can be fun, and to help them build confidence in their mathematical abilities.

49. References references. 1 Blanchard, P. Complex Analytic Dynamics on the Riemann Sphere, BAMS Vol. II, No.1, 1984, 85141. Amer. math. Soc. (1989), 75-106. http://math.bu.edu/DYSYS/FRACGEOM/node9.html

Fractal Geometry of the Mandelbrot Set (Cover Page) 8 Summary (Previous Section) BU Math Home Page References Blanchard, P. Complex Analytic Dynamics on the Riemann Sphere, B.A.M.S. Vol. II, No.1, 1984, 85-141. Branner, B. The Mandelbrot Set. In Chaos and Fractals: The Mathematics Behind the Computer Graphics. Amer. Math. Soc. (1989), 75-106. Devaney, R. L. An Introduction to Chaotic Dynamical Systems Second Edition. Addison-Wesley Co., Redwood City, Calif., 1989. Devaney, R. L. Chaos, Fractals, and Dynamics: Computer Experiments in Mathematics Addison-Wesley Co., Menlo Park, Calif., 1989. Devaney, R. L. (ed.) Complex Analytic Dynamics: The Mathematics Behind the Mandelbrot and Julia Sets American Mathematical Society, Providence, 1994. Devaney, R. L. The Orbit Diagram and the Mandelbrot Set. The College Mathematics Journal. Devaney, R. L. The Fractal Geometry of the Mandelbrot Set. II: How to Add and How to Count . Also part of the Dynamical Systems and Technology Page. Devaney, R. L. Professor Devaney Explains the Fractal Geometry of the Mandelbrot Set . A one hour videotape describing some of the details of this paper. Devaney, R. L.

50. UW Libraries - Mathematics Research Library Bibliographic coverage of education literature at all levels. Includes math education. Bibliographic coverage of medical references in over 3900 journals. http://www.lib.washington.edu/math/

Find It UW Libraries Catalog Top 25 Databases E-Journals Browse Subjects ... Reference Tools Get It Borrowing/Delivery UWorld Express Renewals Course Reserves ... Your Library Account About the Libraries Contact Us General Information Supporting the Libraries Friends of the UW Libraries ... Accessibility Services For Grads For Undergraduates My Gateway Help Ask A Librarian Connecting From Home Libraries FAQ Research Guide ... Library Classes Alerts News Digital Scholarship Opportunities Mathematics Research Library University of Washington Seattle, WA 98195-4350 mathlib@u.washington.edu Library Catalog Summit Scholarly Communications in Math/Stat ... Electronic Do's and Don'ts Research Databases MathSciNet, 1940- UW restricted Zentralblatt MATH, 1931- UW restricted Current Index to Statistics (CIS), 1970's- UW restricted INSPEC, 1969- . Physics; also applied math/stat, EE and CS. UW restricted ISI Web of Science, 1975- . Cited reference index to 8500 journals UW restricted JSTOR . Indexed backfiles of core mathematics and statistics journals. UW restricted Jahrbuch über die Fortschritte der Mathematik, 1868-1943

51. Alaska Mathematics And Science Framework A Grants Available for math and Science Appendix B Equity Issues in Science and math A Bibliography Appendix C Alaska Science Crossreferences The Alaska http://www.educ.state.ak.us/tls/frameworks/mathsci/ms0_1tit.htm

HOME Arts Health Language Arts ... Glossary Major funding for this document is provided through a grant from the United States Department of Education, Eisenhower National Program for Mathematics and Science Education. Math and Science Framework Table of Contents Acknowledgments Chapter 1: Introduction (Common Section) How to Use this Framework The Curriculum Development Process What Curriculum Development Committees Can Do to Ensure Success Chapter 2: Starting Point (Common Section) Introduction Definition of Curriculum Content Instruction ... Chapter 8: Resources Human Resources Science and Mathematics Professional Associations and Their Publications Alaska Math and Science Professional Development Opportunities Professional Development Resources Science and Mathematics Instructional Materials Print Resources Reference Kit Bibliography Resource Notebook Bibliography Electronic Resources Useful Software for Science and Mathematics Education World Wide Web Resources World Wide Web Links Appendices Appendix A: Grants Available for Math and Science Appendix B: Equity Issues in Science and Math: A Bibliography Appendix C Alaska Science Cross-References The Alaska Science Benchmark Cross-References: Annotated Example The Alaska Science Benchmark Cross-References: References Without Annotation Appendix D: Results of Survey: Science and Mathematics Programs and Activities in Alaska School Districts ... Reference Points (Common Section) Frameworks Glossary (Common Section)

52. References references. This is a list of references, mostly in representation theory and some in automorphic forms. Send corrections to jda@math.umd.edu. http://www.math.umd.edu/~jda/ref.html

References This is a list of references, mostly in representation theory and some in automorphic forms. It is somewhat random, out of date, and updated irregularly. Send corrections to jda@math.umd.edu . Last update: 8/18/95. David Vogan has also given me his list of references . You might also be interested in Paul Garrett's bibliography for automorphic forms, L-functions, and representations. [J. Adams] [G. Anderson] , "Theta functions and holomorphic differential forms on compact quotients of bounded symmetric domains," Duke Math. J. 50 (1983), 1137-1170. [J. Arthur] [J. Arthur] , "Unipotent Autormorphic Representations: Conjectures," preprint, to appear in Asterisque. , "Correspondance de Howe pour les groupes finis," preprint. [D. Barbasch, J. Adams] [D. Barbasch] , "The Unitary Dual for Complex Classical Lie Groups," Invent. Math. 96 (1989), 103-176. , "Unipotent Representations of Complex Semisimple Groups," Ann. of Math. (2) 121 (1985), 41-110. , "The local structure of characters," J. Funct. Anal. 37 (1980), 27-55. [V. Bargmann]

53. Writing For A Math Class -- Platonic Realms MiniText this beginning, we have experimented with incorporating writing in the math class more information, such as the author of the paper, the references used, and http://www.mathacademy.com/pr/minitext/writing/index.asp

WHY WRITE? FOR THE INSTRUCTOR FOR THE STUDENT The union of the mathematician with the poet, fervor with measure, passion with correctness, this surely is the ideal. William James WHY WRITE? If the Fundamental Theorem of Calculus is arguably one of the profoundest creations of the human intellect and human civilization, should not students learn of the people and history surrounding its inception? But where will they learn of this, if not in their calculus class? Is there no value or interest in learning that Pascal developed combinatorics so as to win at the gambling table? Or what the response of the Pythagoreans was when the irrationality of the square root of two was demonstrated? Or how Alan Turing perhaps saved England during World War II by cracking the German Enigma code, and that he did so only a few years after describing, for the first time, the mathematical idea of a programmable computer, an event that has transformed all our lives? By providing the opportunity to explore these events and learn about these people, even the occasional small writing assignment can transform a student's outlook on mathematics. Admittedly, for both the student and the instructor, incorporating writing into the math curriculum presents real challenges, not the least of which is the pressure of time. These issues are examined below, and guidance is provided (for students

54. Math. Intell. References This is a list of the primary references to the abbreviated version of formulation of the laws of quantization for periodic and aperiodic phenomena, J. math. http://www.oakland.edu/~grossman/erdosrefs.html

http://www.oakland.edu/enp/erdosrefs.html You will be automatically redirected to the new site in 10 seconds (if not, please click on the address above).

55. References references. ACGD88 A. Amann, L. Cederbaum, W. Gans, and NATO Scientific Affairs Division. Bull. Amer. math. Soc. (NS), 11(1)85141, 1984. http://www.math.okstate.edu/mathdept/dynamics/lecnotes/node60.html

Next: About this document Up: Dynamical Systems and Fractals Previous: Problems References A. Amann, L. Cederbaum, W. Gans, and NATO Scientific Affairs Division. Fractals, quasicrystals, chaos, knots, and algebraic quantum mechanics , volume 235 of NATO ASI series. Series C, Mathematical and physical sciences . Kluwer Academic Publishers, Dordrecht; Boston, 1988. NATO Advanced Research Workshop on New Theoretical Concepts in Physical Chemistry (1987: Aquafredda di Maratea, Italy). H. C. Von Baeyer. Impossible crystals. Discover Magazine , pages 69-78, February 1990. M. F. Barnsley. Fractals everywhere . Academic Press, Boston, 2nd edition, 1993. William E. Baylis. Theoretical methods in the physical sciences: an introduction to problem solving using Maple V M. F. Barnsley and Stephen G. Demko. Chaotic dynamics and fractals. , volume 2 of Notes and reports in mathematics in science and engineering . Academic Press, Orlando, 1986. Armin Bunde and Shlomo Havlin. Fractals and disordered systems. Springer-Verlag, Berlin; New York, 1991. William A. Brock, David A. Hsieh, and Blake Dean LeBaron.

56. REFERENCES ON MULTIPLE ZETA VALUES AND EULER SUMS references ON MULTIPLE ZETA VALUES AND EULER SUMS. Compiled by Michael Hoffman. L. Tornheim, `Harmonic double series, Amer. J. math. 72 (1950), 303314. http://www.usna.edu/Users/math/meh/biblio.html

REFERENCES ON MULTIPLE ZETA VALUES AND EULER SUMS Compiled by Michael Hoffman The list is in (approximate) chronological order within each category. While the categorization of some works is a bit arbitrary, I have generally tried to place each one in the most inclusive category that seemed appropriate. This list is revised regularly. Report errors and omissions to meh@usna.edu DOUBLE HARMONIC SERIES P. H. Fuss (ed.), (Tome 1), St. Petersburg, 1843. L. Euler, `Meditationes circa singulare serierum genus,' Novi Comm. Acad. Sci. Petropol. (1775), 140-186. Reprinted in Opera Omnia , ser. I, vol. 15, B. G. Teubner, Berlin, 1927, pp. 217-267. N. Nielsen, Die Gammafunktion , Chelsea, New York, 1965. Reprint of Handbuch der Theorie der Gammafunktion (1906) and Theorie der Integrallogarithmus und verwandter Transzendenten L. Tornheim, `Harmonic double series,' Amer. J. Math. n ),' Amer. Math. Monthly T. M. Apostol and T. H. Vu, `Dirichlet series related to the Riemann zeta function,' J. Number Theory M. V. Subbarao and R. Sitaramachandrarao, `On some infinite series of L. J. Mordell and their analogues', Pacific J. Math. R. E. Crandall and J. P. Buhler, `On the evaluation of Euler sums,'

57. Math 422References references for math 422. Advanced UG/Beginning Graduate Level Fourier Analysis Texts. Fourier Series and Integrals, H. Dym and H. McKean; http://www.math.psu.edu/weiss/422/422ref.html

58. Math Reports: References http://www.project2061.org/tools/textbook/matheval/referenc.htm

Navigation: Go to.... Table of Contents Introduction Part 1 - Comparing Middle Grades Mathematics Textbooks Part 2 - About the Project 2061 Evaluation Part 3 - Textbook Evaluation Reports List of Books Appendices References Search Math Reports Project 2061 Home Page Middle Grades Mathematics Textbooks A Benchmarks-Based Evaluation References American Association for the Advancement of Science. (1989). Science for all Americans. New York: Oxford University Press. American Association for the Advancement of Science. (1993). Benchmarks for science literacy. New York: Oxford University Press. American Association for the Advancement of Science. (2000). Resources for science literacy: Curriculum materials evaluation . Manuscript in preparation. Grouws, D. A. (Ed.). (1992). Handbook of research on mathematics teaching and learning . New York: Macmillan. Mathematics curriculum materials reliability study. Washington, DC: Project 2061, American Association for the Advancement of Science. National Council of Teachers of Mathematics. (1989).

59. GameDev.net -- Math And Physics Three Dimensional Rotations Added 1/11/2001, Explains the math behind 3D aspects of the subject, and even the most practical references often implement http://www.gamedev.net/reference/list.asp?categoryid=28

60. Cornell Math - Early History Cochell The Early History of the Cornell mathematics Department. references. 22. Cornell mathematical Club Minutes and ByLaws, math. Dept. http://www.math.cornell.edu/General/History/historyRefs.html

Cochell: The Early History of the Cornell Mathematics Department REFERENCES 1. Annual Reports to the President, Ithaca, New York, 1881, pp. 12 and 23. 2. Annual Reports to the President, Ithaca, New York, 1883, pp. 25-26. 3. Annual Reports to the President, Ithaca, New York, 1884, p. 20. 4. Annual Reports to the President, Ithaca, New York, 1885, pp. 27-29. 5. Annual Reports to the President, Ithaca, New York, 1886, pp. 32-34. 6. Annual Reports to the President, Ithaca, New York, 1887, pp. 55-59. 7. Annual Reports to the President, Ithaca, New York, 1888, pp. 74-76. 8. Annual Reports to the President, Ithaca, New York, 1889, pp. 71-72. 9. Carl L. Becker, Cornell University: Founders and the Founding, Ithaca: Cornell University Press, 1943. 10. Biographical Memoirs, vol. 4, Washington: National Academy of Sciences, 1902, pp. 59-74. 11. Morris Bishop, A History of Cornell, Ithaca: Cornell University Press, 1962. 12. Robert V. Bruce, The Launching of Modern American Science: 1846-1876, New York: Alfred A. Knopf, 1987.

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