Algebra For the Real World

Students will solve real world and mathematical problem situations using simple algebraic concepts including variables and open sentences.

A Computational Introduction to Number Theory and Algebra

A book introducing basic concepts from computational number theory and algebra, including all the necessary mathematical background.

Grade 4 Math Revision Test I

This module revises a variety of mathematical skills: basic operations, weights, measures and money are all revised. Some emphasis is placed on applied maths, and especially on introductory fractions.

Brainteaser 1

Sixty-one questions taken from the areas of 'language and reasoning', 'mathematical skills', 'space and logic', 'general knowledge'.

The use case specification of actions in the goal oriented knowledge based learning environment

The proposed goal oriented knowledge acquisition and assessment are based on the flexible educational model and allows to implement an adaptive control of the enhanced learning process according to the requirements of student's knowledge level, his state of cognition and subject learning history.
The enhanced learner knowledge model specifies how the cognition state of the user will be achieved step by step. The use case actions definition is a starting point of the specification that depends o

Social Capital and the Distribution of Household Income in the United States: 1980, 1990, and 2000

Social capital is a person or group's sympathy or sense of obligation for another person or group. The objects of sympathetic feelings have social capital. Those holding sympathetic feelings for others provide social capital. Because social capital providers internalize the consequences of their choices, they trade with each other on different terms and at different levels that would occur in arm's length transactions, all other things equal. But changes in the terms and level of trade al

Data Analysis

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

Geometry

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

Number Concept

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

Number Sense Activities: Climb the Ladder

Some students need prompts to help them write mathematical expressions for target numbers. Climb the Ladder is an activity that prompts students to move from all addition or subtraction problems and include many mathematical topics to generate equivalent names.

Three Number Sense Activities

Game 1: Contig Game: This game challenges and extends the number sense experience students have gained from writing equivalent mathematical expressions for target numbers. Game 2: The 24 Game builds on students' ability to find equivalent names for numbers. Game 3: In Tribulation, students must search the game-board for 3 numbers in a row (vertically, horizontally or diagonally as in a word search) that combine to make the target number. In this game, however, there is a prescribed formula for c

Geometry and Measurement Games

These games support student development of spatial sense and foster familiarity with the mathematical vocabulary of geometry.

Math Activity Themes: Bats

Bats are a common theme at Halloween. Use these resources to capitalize on student interest in bats and develop student understanding of common mathematical patterns.

Active Participation: Using Math Templates

Using math templates during instruction keeps each student actively involved and allows the teacher to informally assess each student's proficiency with the skills and concepts addressed in the day's lesson. Many teachers regularly use whiteboards to have students record answers, write terms, draw pictures, etc. The use of templates in sheet protectors extends this practice and eliminates the time spent drawing diagrams, etc., allowing students more time to demonstrate mathematical proficiency.

Math Activities for Fall (2007)

These activities were designed to introduce or reinforce important math concepts and skills using seasonal themes. This is a natural fit for elementary classrooms where teachers and students celebrate the various holidays with literature and art projects. These activities allow teachers to also incorporate math activities that develop and support important mathematical concepts and skills.

AlgTop7: The Klein bottle and projective plane

The Klein bottle and the projective plane are the basic non-orientable surfaces. The Klein bottle, obtained by gluing together two Mobius bands, is similar in some ways to the torus, and is something of a curiosity. The projective plane, obtained by gluing a disk to a Mobius band, is one of the most fundamental of all mathematical objects. Of all the surfaces, it most closely resembles the sphere.
This is the seventh lecture in this beginner's course on Algebraic Topology, given by Assoc Prof N

Quantum Transport: Atom to Transistor

The development of "nanotechnology" has made it possible to engineer materials and devices on a length scale as small as several nanometers (atomic distances are ~ 0.1 nm). The properties of such "nanostructures" cannot be described in terms of macroscopic parameters like mobility and diffusion coefficient and a microscopic or atomistic viewpoint is called for. The purpose of this course is to convey the conceptual framework that underlies this microscopic theory of matter which developed in cou

Algorithms

The design of algorithms is studied, according to methodology and application. Methodologies include: divide and conquer, dynamic programming, and greedy strategies. Applications involve: sorting, ordering and searching, graph algorithms, geometric algorithms, mathematical (number theory, algebra and linear algebra) algorithms, and string matching algorithms. Analysis of algorithms is studied - worst case, average case, and amortized - with an emphasis on the close connection between the time co

Engineering Statics

Statics is a sophomore level engineering course, offered in all mechanical and civil engineering programs. Statics forms the essential pre-requisite to a number of follow-on courses, such as dynamics and mechanics of materials, and lays the foundation for design of mechanical systems. In most institutions, Statics is taught in a traditional way with an emphasis on the mathematical operations that are useful in its implementation, but without enough emphasis on modeling the interactions between r

Engineering an Empire - The Maya, Part 3/5

'The Maya is a Mesoamerican civilization, noted for the only known fully developed written language of the pre-Columbian Americas, as well as its art, architecture, and mathematical and astronomical systems.' (Maya Civilization, Wikipedia, 2009). This History Channel documentary is suitable for older middle and high school students and is narrated by various scholars.