Abstract: A method and apparatus for teaching physical principles of fluid flow and the mathematical principles of integration by concrete, measurable examples comprised the use of a plurality of teaching funnels each capable of being supported by a mounting mechanism in a stable position over a receptacle. Each funnel has perimetric sidewalls with interior surfaces that conform to equations that will provide an integrable function when plugged into the equation for computing the time it takes for the funnel to empty of liquid. The funnels can have a base covering the lower end of the funnel with an outlet orifice formed in the base. The orifice is spaced a predetermined distance away from the sidewalls to achieve a desired outflow rate. The different sidewalls can be formed of different shapes as long as each conforms with a formula that yields an integrable function when plugged into the equation for computing the time it takes for the funnel to empty of liquid.

Abstract: A method and apparatus for teaching physical principles of fluid flow and .[.the.]. mathematical principles .[.of.]..Iadd., such as .Iaddend.integration.Iadd., .Iaddend.by concrete, measurable examples comprised the use of a plurality of teaching funnels each capable of being supported by a mounting mechanism in a stable position over a receptacle. Each funnel has perimetric sidewalls with interior surfaces that conform to equations that will .Iadd.allow various flow characteristics to be computed, and in preferred embodiments will .Iaddend.provide an integrable function when plugged into the equation for computing the time it takes for the funnel to empty of liquid. The funnels can have a base covering the lower end of the funnel with an outlet orifice formed in the base. The orifice is spaced a predetermined distance away from the sidewalls to achieve a desired outflow rate. The different sidewalls can be formed of different shapes as long as each conforms with a formula that .[.yields an.]. .Iadd.