Abstract: A classroom network management system includes a server computer running a manager program, and a plurality of client computers each running a student desktop program and having controllable access to computerized resources. The server computer and the plurality of client computers are interconnected by a network. The manager program administers communications between the server computer and the client computers and communications among the client computers, and the manager program controls access by the client computers to the computerized resources. The manager program includes a lesson builder tool that selectively stores lesson content for presentation on the client computers via the server computer. In this context, the lesson content includes a lesson plan, at least one file of a word processing application, spreadsheet application, presentation tools or multimedia, exercises for student review, and evaluations for student testing.

Abstract: A mathematical teaching aid includes a plurality of sectional pieces representing fractions of a circle. The pieces are preferably colored corresponding to respective fractions, wherein fraction pieces having a prime number denominator are of primary colors, and other section pieces are of secondary colors. The colors are assigned to the pieces such that primary number denominator sectional pieces of primary colors can be overlaid to form a secondary color, with the sectional piece of that secondary color being representative of a common denominator. The sectional pieces can be combined with a base unit and used for teaching multiplication, division, addition and subtraction of fractions.

Abstract: A mathematical teaching aid includes a plurality of sectional pieces representing fractions of a circle. The pieces are preferably colored corresponding to respective fractions, wherein fraction pieces having a prime number denominator are of primary colors, and other section pieces are of secondary colors. The colors are assigned to the pieces such that primary number denominator sectional pieces of primary colors can be overlaid to form a secondary color, with the sectional piece of that secondary color being representative of a common denominator. The sectional pieces can be combined with a base unit and used for teaching multiplication, division, addition and subtraction of fractions.

Abstract: An apparatus and method for teaching mathematical expressions includes a plurality of four-sided members that represent the variables of factors of a mathematical expression. Each four-sided member has a different area representing a different variable in the mathematical expression. The apparatus enables a math student to visualize the rules that apply to mathematical expressions. The four-sided members include a first side having a first color and a second side having a second color, different from the first color, wherein the first side represents a positive number, and the second side represents a negative number. Alternatively, the sign may be distinguished by varying surface roughness of the members. The four-sided members can be used for teaching by illustration simple multiplication and division, multiplication, division and factorization of polynomials, linear equations including inequations and absolute value, and systems of linear equations.

Abstract: An apparatus and method for teaching mathematical expressions includes a plurality of four-sided members that represent the variables of factors of a mathematical expression. Each four-sided member has a different area representing a different variable in the mathematical expression. The apparatus enables a math student to visualize the rules that apply to mathematical expressions. The four-sided members include a first side having a first color and a second side having a second color, different from the first color, wherein the first side represents a positive number, and the second side represents a negative number. The four-sided members can be used for teaching by illustration simple multiplication and division, multiplication, division and factorization of polynomials, linear equations including inequations and absolute value, and systems of linear equations.

Abstract: An apparatus for teaching polynomial expressions includes an arrangement of groups of rows and columns that represent the variables of factors of a polynomial expression. Each group of columns or rows has a different width or height, respectively, and represents a different variable in the polynomial expression. The apparatus enables an algebra student to visualize the rules that apply to polynomial expressions. In one embodiment, the rows and columns are defined by a plurality of pegs or nails fixed to a supporting member. Each factor of the polynomial expression is represented by isolating the variables of the factors by extending an elastic member around the appropriate pegs. The intersection of the two isolated factors represents the product of the factors.