Mathematics Gateways and Resources

The Mathematics Gateways and Resources collection is comprised of mathematics-related web portals, web sites, and individual digital resources in many areas of the discipline, including algebra, applied math, arithmetic, calculus, functions, geometry, measurement, number sense, probability and statistics, and others. Here may be found materials for mathematics educators and learners (early childhood through graduate school), resources intended for the general public, and materials aimed at mathematics research communities.

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AAA Math
Rating

Comprehensive set of interactive arithmetic lessons. Unlimited practice is available on each topic. Wide range of lessons (Kindergarten through Eighth grade). Practices provide immediate feedback to the user in a non-threatening format which helps build self-esteem and confidence.

Subject:
Mathematics
Provider:
NSDL Staff
Provider Set:
Mathematics Gateways and Resources
A+ Click K-12 Math Test
Conditions of Use:
Remix and Share
Rating

A+ Click is an interactive collection of more than 3700 math problems and answers for K-1 K-12 school program. It defines the personal level of math knowledge. You move up into the next level if you give 5 correct answers in a row. Practice makes perfect.

Subject:
Mathematics
Algebra
Geometry
Material Type:
Activity/Lab
Assessment
Game
Lecture Notes
Provider:
aplusclick
NSDL Staff
Provider Set:
Individual Authors
Mathematics Gateways and Resources
Author:
Igor Kokcharov
American Mathematical Society Books Online
Rating

The American Mathematical Society's (AMS) Books Online makes available full text of over 30 scholarly monographs published by the AMS, covering a range of subjects including algebra and algebraic geometry, analysis, applications, differential equations, geometry and topology, logic and foundations, mathematical physics, number theory, probability, and general interest. Their gateway page organizes titles by subject and author.

Subject:
Mathematics
Provider:
NSDL Staff
Provider Set:
Mathematics Gateways and Resources
BrainPOP Jr.: Math
Rating

Animated features and activities providing mathematics instruction and homework help for younger students (K-3). Each animation is accompanied by quizzes, games, vocabulary, and other activities. Topics include addition and subtraction, multiplication and division, how to use a calendar, how to count and use money, fractions, how to make measurements, and many others. Movies, animations, and activities available via paid subscription; 5-day free trial is offered. Site offers free lesson-plan ideas.

Subject:
Mathematics
Material Type:
Activity/Lab
Game
Interactive
Lesson Plan
Provider:
NSDL Staff
Provider Set:
Mathematics Gateways and Resources
BrainPOP Math: Calculations and Computations
Rating

This collection of interactive features and animated movies introduces students (grades 3-12) to mathematical calculations and computations. Categories include algebra, data analysis, geometry and measurement, probability, numbers and operations, and ratio, proportion, and percent.

Subject:
Mathematics
Material Type:
Diagram/Illustration
Interactive
Lesson Plan
Provider:
NSDL Staff
Provider Set:
Mathematics Gateways and Resources
COUNTDOWN
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The COUNTDOWN web site features more than 800 instructional QuickTime math videos and 350 companion worksheets that are devoted to the demonstration and support of effective mathematics instruction. These multi-indexed math movies are organized according to content standards established by the National Council of Teachers of Mathematics allowing viewers to explore specific math concepts at their own pace. Whether you are an educator brushing up on formulas, a fifth grader figuring out equivalent fractions, a grad student completing a methods assignment or a concerned parent seeking an electronic math tutor for your child, this site is a rich math resource available free of charge for your repeated use. The video clips found on this site have been edited from hour-long interactive weekly TV broadcasts on Channel 21 in Chicago.

Subject:
Education
Mathematics
Material Type:
Game
Lecture Notes
Lesson Plan
Unit of Study
Provider:
NSDL Staff
Provider Set:
Mathematics Gateways and Resources
Author:
Dr. Diane Schiller
Calc3D Pro
Rating

The calculator can do statistics, best fits, function plotting, integration. It handles vectors, matrices, complex numbers, quaternions, coordinates, regular polygons and intersections. For point, line, plane, sphere, circle Calc 3D calculates distances, intersections, and some additional information like volume and area. Cartesian, spherical and cylindrical coordinates can be transformed into each other. Carthesian plot, polar plot, parametric plot, best fit, fast fourier transformation, histogram, smooth, and others.

Subject:
Mathematics
Provider:
NSDL Staff
Provider Set:
Mathematics Gateways and Resources
Calculus+ : Cooperative Learning Experiences in a Laboratory Setting
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This web site provides students and faculty with access to precalculus, calculus (I, II, and III), linear algebra, and differential equations computer projects. They can be simply viewed and adapted to a suitable Computer Algebra Systems software; users with Maple 8 or an earlier release installed on their computers will be able to download and modify the projects. (The site also includes an introduction to Maple and a sample interactive lesson using Maple.) The projects, part of two Minority Science and Engineering Improvement Program (MSEIP) grants, were created and class-tested at Queensborough Community College, Medgar Evers College, and Borough of Manhattan Community College of the City University of New York. They are designed for use as cooperative learning experiences in a laboratory setting and are interactive if Maple 8 or earlier releases are use. The site creators plan to add writing assignments, readings, faculty and students' exemplary work in all courses, including senior research topics in STEM areas of pure and applied mathematics.

Subject:
Mathematics
Material Type:
Interactive
Lecture Notes
Lesson Plan
Provider:
NSDL Staff
Provider Set:
Mathematics Gateways and Resources
Author:
MSEIP Team, City University of New York and State University of New York
Course Communities in Undergraduate Mathematics
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Course Communities in Undergraduate Mathematics is a collection of online resources for undergraduate mathematics courses. The courses done so far are one-variable calculus, multivariable calculus, and ordinary differential equations. These resources were assembled and cataloged by separate working groups for each course. In addition there is a pseudo-course, developmental mathematics, obtained from Tom Carey's project of the same name. A working group is currently identifying and cataloging resources for a course in probability.

Subject:
Mathematics
Provider:
NSDL Staff
Provider Set:
Mathematics Gateways and Resources
Author:
Lang Moore
Differential Equations Textbook
Conditions of Use:
Remix and Share
Rating

This is a free textbook which covers material for an introductory course on differential equations with some partial differential equations material, though it assumes knowledge of matrix theory. It includes a section on computing Fourier series of polynomials. It also includes a link to the freely available student solutions manual.

Subject:
Mathematics
Material Type:
Textbook
Provider:
NSDL Staff
Provider Set:
Mathematics Gateways and Resources
Author:
William F. Trench
EqWorld: The World of Mathematical Equations
Rating

This site provides information on solutions to various classes of mathematical equations. There are exact solutions and methods for solving ordinary differential equations, partial differential equations, integral equations, and other classes of functions and transforms. The Equation Archive allows authors to post equations and exact solutions, first integrals, and transformations. There is also an index of named algebraic, ordinary differential, partial differential, integral, and functional equations. Other materials include links to online forums, information on mathematical software, and links to educational materials, publications, and related websites.

Subject:
Mathematics
Algebra
Calculus
Provider:
NSDL Staff
Provider Set:
Mathematics Gateways and Resources
Author:
Andrei D. Polyanin
Free online mathematics books
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Freebookcentre.net's mathematics section contains links to many technical books offered free online, either as html pages or downloadable pdfs. Books are arranged by subject: algebra, geometry, calculus, differential equations, discrete mathematics, linear algebra, number theory, differential algebra, probability theory, trigonometry, and others.

Subject:
Mathematics
Provider:
NSDL Staff
Provider Set:
Mathematics Gateways and Resources
GoodQuestions Project
Rating

GoodQuestions is a pedagogical strategy designed to improve calculus instruction for higher-level students by adapting two methods developed in physics instruction: ConcepTests (conceptual multiple-choice questions) and Just-in-Time Teaching (a pedagogical strategy that blends web technology with active learning in classroom situations). The project web site includes class materials, links to math classes where the strategy is being employed, news articles, and information on the project team.

Subject:
Mathematics
Calculus
Material Type:
Teaching/Learning Strategy
Provider:
NSDL Staff
Provider Set:
Mathematics Gateways and Resources
Investigations in Number, Data, and Space
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Investigations is a complete K-5 mathematics curriculum, developed at TERC in Cambridge, Mass. It is designed to help all children understand the fundamental ideas of number and operations, geometry, data, measurement, and early algebra. The curriculum has four major goals: to offer students meaningful mathematical problems; emphasize depth in mathematical thinking; communicate mathematics content and pedagogy to teachers; and expand the pool of mathematically literate students. This site includes descriptions of the units in each grade, K through 5; ordering information; and information on professional-development workshops designed to facilitate introduction of this curriculum.

Subject:
Mathematics
Material Type:
Full Course
Provider:
NSDL Staff
Provider Set:
Mathematics Gateways and Resources
Author:
TERC
Learning Discrete Mathematics and Computer Science via Primary Historical Sources
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This site offers 18 curricular modules based on primary historical sources for undergraduate courses in discrete mathematics, combinatorics, logic, abstract algebra, graph theory, analysis of algorithms, data structures, automata and formal languages in computer science. Designed to capture the spark of discovery and motivate the subsequent lines of inquiry, our projects are centered around key historical sources that led to the development of selected topics in the above fields.

Subject:
Mathematics
Material Type:
Lesson Plan
Provider:
NSDL Staff
Provider Set:
Mathematics Gateways and Resources
Author:
Colorado State University at Pueblo (CSU-P)
New Mexico State University (NMSU) Computer Science faculty
New Mexico State University (NMSU) Mathematics faculty
Old Dominion University (ODU)
Lorenz Attractor -- Butterfly Effect
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The "Butterfly Effect", or more technically the "sensitive dependence on initial conditions", is the essence of chaos. This is illustrated an applet of the Lorenz Attractor. The demonstration shows a graphical representation of the time variation of three variables X(t),Y(t) and Z(t), coupled by non-linear evolution equations.

Subject:
Mathematics
Provider:
NSDL Staff
Provider Set:
Mathematics Gateways and Resources
Author:
Dr. Michael Cross, Cal Tech