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In mathematics, an involute (also known as an evolvent) is a particular type of curve that is dependent on another shape or curve. An involute of a curve is the locus of a point on a piece of taut string as the string is either unwrapped from or wrapped around the curve. [1] The evolute of an involute is the original curve.
At sections of the curve with ′ > or ′ < the curve is an involute of its evolute. (In the diagram: The blue parabola is an involute of the red semicubic parabola, which is actually the evolute of the blue parabola.) Proof of the last property:
The Interactive Mathematics Program (IMP) is a four-year, problem-based mathematics curriculum for high schools. It was one of several curricula funded by the National Science Foundation and designed around the 1989 National Council of Teachers of Mathematics (NCTM) standards .
MathSoft, Inc., was founded in 1984 by Allen Razdow and David Blohm to provide mathematical programs to students, teachers, and professionals.The company is best known for its Mathcad software, an application for solving and visualizing mathematical problems.
Wolfram contends that this approach is fundamentally different from most of the use of Computers in the classroom (or Computer-based mathematics education), [8] whose role is to help to teach students to perform hand calculations, rather than to perform those computations and is also distinct from delivery tools such as E-learning systems.
Computer-Based Math, a project aimed at using computers for computational tasks and spending more classroom time on applications; Mathletics (educational software), a popular K-12 mathematics learning program from 3P Learning; Mathspace, a similar program for students aged 7-18, founded in Australia in 2010; Sokikom, a team-based math learning game
The initiative began with 265 high schools piloting Illustrative Math for algebra, but many teachers hated the tightly scripted lesson plans, rigid schedule, and requirement that students work in ...
In the case where the rolling curve is a line and the generator is a point on the line, the roulette is called an involute of the fixed curve. If the rolling curve is a circle and the fixed curve is a line then the roulette is a trochoid. If, in this case, the point lies on the circle then the roulette is a cycloid.