PPT-The Mathematics of Music

Katherine Goulde Outline Basic tonal theory Sound and Hertz Note values and rhythm Intervals Scales Overtones Harmonics Rhythm Western Indian music African music Musical Styles and Forms. The syllabus for Mathematics I and Mathematics II is based on a single subject Mathematics Advanced GCE Questions on Mathematics II are intended to be more challenging than questions on Mathematics I The syllabus for Mathematics III is wider In desi 4 No 2 pp 16 26 2011 16 TEACHIING ADAPTIVE AND STRATEGIC REASONING THROUGH FORMULA DERIVATION BEYOND FORMAL SEMIOTICS ELLIOTT OSTLER Department of Teacher Education University of Nebraska at Omaha 6001 Dodge St Omaha Nebraska 68182 United States el Mathematics Information Evening. St Peter’s School Mathematics Department . Head of Maths Mrs A Sawa. 2 i/c of Maths Miss A Alkema. Deputy Head/Maths Mrs E Smith. Head of Assessment & Reporting/Maths Mr D Sharp. I. . lecture. Reinsurance. Introduction. I.. Why does an insurer buy Reinsurance. ?. . – . (For example. ) i. n . case of exceptional event, i.e. accumulation of many small events or one extreme event that exterminate the Time diversification of the Insurer’s portfolio (ex. Earthquake) . Science and Industry Advance with Mathematics . International and Interdisciplinary . Members hail from . more than 100 countries . and work within industry, laboratories, government, and academia. . Logicism. Founded in 1884 by . Gottlob. . F. rege. and Richard Dedekind. Math can be reduced to 9 simple logical axioms . 2 axioms are not logical. Axiom of infinity. 1st crisis in mathematics . Gödel's Incompleteness . Anne Watson . Professor of Mathematics Education. University of Oxford. February 16. th. 2009. My claim. Personal engagement in mathematics, and reflection on the nature of that engagement, is at the heart of good mathematics teaching, and may make much of what is written about pedagogy redundant.. Anne Watson. ACME/ University of Oxford. Sept 15th 2010. Evidence. Synthesis of research about what children can do in and out of educational contexts. What it means to understand and be able to do mathematics. Anne Watson. University of Sussex CIRCLETS May 2011. Warrants. Intellectual background. Research – CMTP. Research – children’s learning. Practice – teaching, mathematics and teacher education. “PARENTS COUNT TOO”. Show an interest in your child’s school work. Expect your child to succeed. Share a positive attitude towards mathematics with your child. Support your child’s interest in mathematics. Introductory Lecture. What is Discrete Mathematics?. Discrete mathematics is the part of mathematics devoted to the study of discrete (as opposed to continuous) objects.. Calculus deals with continuous objects and is not part of discrete mathematics. . mathematics in the 20th and 21st century. introduction. in 20th century, mathematics became a . major profession. hundreds of . specialized areas . development of . computers. enabled mathematics to expand. Mathematics Specialization . Introduction. Research Question: Will teaching a mathematics unit through music increase first graders’ understanding of that mathematical content over time?. Literature Review. Lecturer: Prof Bernard Tan. Tutor: Ms Lydia Lam. Aims of the Module. To show the intimate relationship between science and music.. To demonstrate how physics and mathematics are at the foundation of all music..