Art Within Math
Watch this short video and try to identify the location of the sculptures. Then see how art and these sculptures relate to the science of mathematics.
Mathematics Framework for the 2009 National Assessment of Educational Progress
This is an assessment framework, not a curriculum framework. In broad terms, this framework attempts to answer the question: What mathematics should be assessed in 2009 on NAEP at grades 4, 8 and 12? The answer to this question must necessarily take into account the constraints of a large-scale assessment such as NAEP, with its limitations on time and resources. Of critical importance is the fact that this document does not attempt to answer the question: What mathematics should be taught (or ho
Basic Concepts of Mathematics
This book helps the student complete the transition from purely manipulative to rigorous mathematics. The clear exposition covers many topics that are assumed by later courses but are often not covered with any depth or organization: basic set theory, induction, quantifiers, functions and relations, equivalence relations, properties of the real numbers (including consequences of the completeness axiom), fields, and basic properties of n-dimensional Euclidean spaces.
Calculus on the Web
COW is an internet utility for learning and practicing calculus. The principal purpose of COW is to provide you, the student or interested user, with the opportunity to learn and practice problems in calculus (and in the future other topics in mathematics) in a friendly environment via the internet. The most important feature of the COW is that you get to know whether your answer is correct almost immediately. It is as if you had a tutor looking over your shoulder and helping you along as you wo
A First Course in Complex Analysis
These are the lecture notes of a one-semester undergraduate course which we taught at SUNY Binghamton. For many of our students, Complex Analysis is their first rigorous analysis (if not mathematics) class they take, and these notes reflect this very much. We tried to rely on as few concepts from real analysis as possible. In particular, series and sequences are treated "from scratch." This also has the (maybe disadvantageous) consequence that power series are introduced very late in the course.
Reports from the Curriculum Foundations Project
This page holds the archived reports from the Curriculum Foundations Project. This project held workshops in several different subject areas in order to initiate a dialogue among the representatives from each partner discipline, with mathematicians present to listen and serve as a resource when questions about the mathematics curriculum arose. Users can access Microsoft Word reports as well as a compressed full report.
Fundamentals of Physics, I
This course provides a thorough introduction to the principles and methods of physics for students who have good preparation in physics and mathematics. Emphasis is placed on problem solving and quantitative reasoning. This course covers Newtonian mechanics, special relativity, gravitation, thermodynamics, and waves.
Vectors and conics
Attempts to answer problems in areas as diverse as science, technology and economics involve solving simultaneous linear equations. In this unit we look at some of the equations that represent points, lines and planes in mathematics. We explore concepts such as Euclidean space, vectors, dot products ...
Working with diagrams
Working with diagrams is essential for students of science, technology, engineering and mathematics. This unit is packed with practical activities and tips which make learning from and with diagrams more enjoyable and rewarding. One part of this unit deals with the reading of diagrams and the other ...
Scotsman John Napier is best known to for his treatise on Protestant religion. However, it was his interest in a completely different subject that radically altered the course of mathematics. After forty years of dabbling in maths, he revealed his table o
GeoMaths MathHelp Material
This site provides students with mathematics self-study material which is embedded within the context of the geosciences. The material consists of many MathHelp "notebooks" covering specific mathematical topics related to a relevant geological context, such as plate velocity or cliff erosion. The notebooks ...
"Highlights of Calculus, Spring 2010"
"Highlights of Calculus is a series of short videos that introduces the basic ideas of calculus — how it works and why it is important. The intended audience is high school students, college students, or anyone who might need help understanding the subject.In addition to the videos, there are summary slides and practice problems complete with an audio narration by Professor Strang. You can find these resources to the right of each video.This resource is also available on Highlights for High Sc
"Ancient Philosophy and Mathematics, Fall 2009"
" Western philosophy and theoretical mathematics were born together, and the cross-fertilization of ideas in the two disciplines was continuously acknowledged throughout antiquity. In this course, we read works of ancient Greek philosophy and mathematics, and investigate the way in which ideas of definition, reason, argument and proof, rationality and irrationality, number, quality and quantity, truth, and even the idea of an idea were shaped by the interplay of philosophic and mathematical inq
Connections: linking mathematics to social studies, art, and science
This publication offers online resources that connect mathematics to three subject areas: social studies, art, and science. Each section contains lesson plans, problems to solve, and examples of mathematics at work within contexts not usually associated with school mathematics.
Ratios for all occasions
A central theme in the middle school mathematics curriculum, proportional reasoning is based on making sense of ratios in a variety of contexts. The resources chosen for this unit provide practice in solving problems, often informally, in the format of ga
Applied Finite Mathematics
This module contains all 10 chapters of the Applied Finite Mathematics open textbook by Rupinder Sekhon. NOTE: This book is a work in progress and has not yet been marked up in CNXML. You can download individual chapter files from their respective modules.
Uniform convergence and pointwise convergence
The aim of this material is to introduce the student to two notions of convergence for sequences of real-valued functions. The notion of pointwise convergence is relatively straightforward, but the notion of uniform convergence is more subtle. Uniform convergence is explained in terms of closed function balls and the new notion of sets absorbing sequences. The differences between the two types of convergence are illustrated with several examples. Some standard facts are also discussed: a unifo
Integrating Mathematics, Science and Language
This bilingual curriculum and resources guide and is designed to help elementary school teachers organize instruction to increase achievement of Hispanic primary-grade children whose first language is not English. The guide offers a curriculum plan, instructional strategies and activities, suggested teacher and student materials, and assessment procedures. Because language development is a fundamental co-requisite for learning mathematics and science concepts, processes and skills, the lessons i
Basic Algebra : Substituting Values Into an Algebraic Expression
Substituting values into an algebraic expression in mathematics is easier to do if the numbers the values represent are given ahead of time. Understand algebraic expressions in math with assistance from a math teacher in this video on mathematics.
Expert: Jimmy Chang
Bio: Jimmy Chang has been a math teacher at St. Pete College for nearly a decade. He has a master's degree in math, and his specialties include calculus, algebra, liberal arts, math and trigonometry.
Lugosi teaches math - convergence of series 3
Béla Lugosi teaches advanced mathematical concepts in this video. How one uses power series to solve varying kinds of problems is discussed, and Lugosi explains how this one application shows the power of power series. It also show that power series have a very important and powerful and analytical technique. A great series for any advanced mathematics student who is working in Calculus and Calculus II.