Middle School Portal: Math and Science Pathways (MSP2)

This web site contains descriptions and links to more than 60 virtual manipulatives, activities designed to function as concept tutorials. The virtual manipulatives, mostly in the form of Java applets, are designed to facilitate grades 6-8 mathematics learning. By encouraging active student exploration with computers, the virtual manipulatives can help students visualize mathematical relationships. They are organized into five categories based on the National Council of Teachers of Mathematics (

Logic for Computer Science: Foundations of Automatic Theorem Proving

This book is intended as an introduction to mathematical logic, with an emphasis on proof theory and procedures for constructing formal proofs of formulae algorithmically. This book is designed primarily for computer scientists, and more generally, for mathematically inclined readers interested in the formalization of proofs, and the foundations of automatic theorem-proving. The book is self contained, and the level corresponds to senior undergraduates and first year graduate students. However,

Mathematical Biology

These are my lecture notes for a course I teach on mathematical biology at the Hong Kong University of Science & Technology. My main emphasis is on mathematical modeling, with biology the sole application area.

Statistical Methods in Biomedical Imaging

This resource contains the complete materials (syllabus, class notes, assignments, web-based software analysis and visualization tools) for a semester-long upper-division or graduate course on mathematical modeling, statistical analysis and visualization of biomedical imaging data.

Geometry Formulas and Facts

This excerpt from the CRC Standard Mathematical Tables and Formulas covers geometry, excluding differential geometry. It is a reference for advanced students, and covers the material in quick, condensed sections of notes. Notes and diagrams are organized into sections and subsections, starting with coordinate systems, plane transformations, lines, and polygons in two-dimensional geometry. The section on three-dimensional geometry covers coordinate systems in space, space symmetries, directions,

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 contain explanations, illustrations, and examples. A mathematical glossary is also constantly available, providing a brief explanation of mathematical keywords and links to the relevant notebo

GeoMaths - 2nd Level Modules

The highest level of math on the University College London's GeoMath site, this covers skills such as complex numbers, partial differentiation, matrices, advanced vectors, and probability. Each section features a menu of topics and links to a glossary. Many have geology-based examples, using the mathematical skill within a realistic scenario. This resource is part of the Teaching Quantitative Skills in the Geosciences collection. http://serc.carleton.edu/quantskills/

Division Races I

Practice your mental and mathematical agility with arithmetic races. A sequence of levels with timed questions. Each level gets progressively faster. The questions themselves are based on division and involve positive integers in the range 0 - 9999. There are a total of 11 levels, combing both multiple-task and single-task questions. Points available increase as the time decreases. Tracking of numerous performance measures is available for self-analysis and parental analysis.

Arithmetic Races II

Practice your mental and mathematical agility with arithmetic races. A sequence of levels with timed questions. Each level gets progressively faster. The questions themselves are based on the four main arithmetical operations (addition, subtraction, multiplication and division) and involve positive integers in the range 0 - 1000. There are a total of 11 levels, combing both multiple-task and single-task questions. Points available increase as the time decreases. Tracking of numerous performance

Applied Mathematics II

In this applied maths quiz, some children set out to complete their toy zoo. While out shopping they encounter numerous arithmetical problems involving addition, subtraction, multiplication and division of currency units. This helps your child gain the independence required to manage their own pocket money. Currencies used in the module are dollars, pounds and euros. The module includes many puzzles, involving sums of money up to about 20 to 30 dollars, euros and pounds, including calculation wi

Applied Mathematics I

The quiz is set in Ancient Egypt. A group of ancient Egyptians set about their everyday lives and encounter mathematical problems. Solve them and help them on their way to the afterlife. Seven levels of randomized applied mathematical problem are included. Randomisation and fresh generation of new material maintains a high level of replayability until the underlying skills are mastered. Tracking systems are included for parental supervision. Rewards maintain student interest.

S.O.S. Mathematics

This site is a free resource for math review material from algebra to differential equations. It provides more than 2,500 pages of short and easy-to-understand explanations for subjects including algebra, trigonometry, calculus, differential equations, complex variables, matrix algebra, and various mathematical tables. The materials on this site are designed for high school students, college students, and adult learners. Links to recommended books and other math education websites are also provi

Environmental Decision Making

Using the Extend 'connect-the-components' visual programming, students can model and simulate ecosystems including social and economic forces as well as study parameter variations to develop an understanding of ecosystem function and productivity.
By making 'what if...' changes in the model, the effects of various proposed decisions about the environment can then be shown.
EDM includes three ecological systems: Ponds, Grasslands, and Logging. Students can predict results of changes in the mode

Computer Aided Environmental Solutions: Evaluation of Optimum Building Orientation in Lahore, Pakist

One of the primary features of solar passive design is the orientation of a building on a particular latitude. The client of Information Technology demands testing, validity, practicality and sustainability of a building project before execution. The computer based simulations are the only practical way to predict the complex energy performance and analysis for a large number of passive design solutions. This paper investigates the optimum residential building orientation having various zones, l

Private Universe Project in Mathematics: Workshop 1. Following Children's Ideas in Mathematics

An unprecedented long-term study conducted by researchers at Rutgers University followed the development of mathematical thinking in a randomly selected group of students for 12 yearsfrom first grade through high schoolwith surprising results. In an overview of the study, we look at some of the conditions that made the students math achievement possible.,10 min Building Towers Five-High The Kenilworth students in the fourth grade are seen working on the Towers problem (How many different

Introduction to Economic Analysis

This book presents standard intermediate microeconomics material and some material that, in the authors' view, ought to be standard but is not. Introductory economics material is integrated. Standard mathematical tools, including calculus, are used throughout. The book easily serves as an intermediate microeconomics text, and can be used for a relatively sophisticated undergraduate who has not taken a basic university course in economics.
Podcast also available

Basic Analysis: Introduction to Real Analysis

This free online textbook is a one semester course in basic analysis. These were my lecture notes for teaching Math 444 at the University of Illinois at Urbana-Champaign (UIUC) in fall 2009. The course is a first course in mathematical analysis aimed at students who do not necessarily wish to continue a graduate study in mathematics. A Sample Darboux sums prerequisite for the course is a basic proof course. The course does not cover topics such as metric spaces, which a more advanced course woul

Impact of Computer Aided Learning on Children with Specific Learning Disabilities

The Technology Initiatives Division of Azim Premji Foundation has launched programmes for use of computers in rural schooling. One such programme is Computer Aided Leaning (CAL) that envisages deployment of computers as a media to impact learning competencies and to create an attractive environment in the schools. The state government provides the computers in schools and the Foundation has developed required software content designed to aid classroom learning process in specific areas such as m

Algebra

InterMath is a professional development effort designed to support teachers in becoming better mathematics educators. It focuses on building teachers' mathematical content knowledge through mathematical investigations that are supported by technology. InterMath includes a workshop component and materials to support instructors. For each of the following problems, consider how you would pose the same problem to your students. Would the wording need to change? Would you need to include more pictur

Fourier: Making Waves

Learn how to make waves of all different shapes by adding up sines or cosines. Make waves in space and time and measure their wavelengths and periods. See how changing the amplitudes of different harmonics changes the waves. Compare different mathematical expressions for your waves.