June 20, 2010
June 20, 2010
June 23, 2010
K-12 & Pre-College Engineering
15.964.1 - 15.964.13
POSTER: WINDMILLS IN TRIGONOMETRY CLASS
A set of windmill teaching aids has been developed for use by high school trigonometry teachers with the goal of bridging the gap between trigonometry and real world systems. The University of Saint Thomas created 16 mechanisms, and a teacher guides, that make up the Trigonometric Windmill teaching aids in response to a need expressed by the math curriculum coordinator in the Edina public school district. Working closely with the mathematics coordinator, an engineering student at the University of St. Thomas developed a variable set of systems that could assist students in understanding the (angular velocity). There were four primary goals for this project: (1) to open lines of communication between the University Saint Thomas and local PK-12 teachers, (2) to aid in the teaching of trigonometry lessons through the use of hands-on activities created to satisfy MN Academic Standard #9.2.1., (3) to incorporate engineering content into math lessons, and (4) -to-mathematic conversion skills, which has been recognized as an increasingly important skill1 for students to possess. This paper discusses the collaboration process and presents a lesson plan that can be replicated by other schools.
The engineering department at the University of Saint Thomas was approached by the mathematics curriculum coordinator for the Edina school district, with an idea for a collaborative project. The mathematics curriculum coordinator described the need for math students to have a hands-on learning device that could demonstrate both periodic motion and the relationships between the motion of the device and the mathematical equation which describes and predicts the motion. The challenge expressed here is an echo of a common concern among many mathematics and science teachers as well as the National Science Board. The National Council of Teachers of Mathematics claims that [few curriculum materials] introduce real-world interdisciplinary problems and serve as advanced placement courses, school-to-work transition 2 This assertion, and others like it, strengthen the claim that math and science are related subjects which should be taught concurrently through hands-on experiences.3 We considered this pedagogical preference when we met to establish the basic requirements of teaching aids that could be used to satisfy MN Academic Standard #126.96.36.199.
MN Academic Standard #188.8.131.52 Determine how translations affect the symbolic and graphical forms of a function. Know how to use graphing technology to examine translations. For example .
To meet this standard, students should be able to write, graph and interpret relationships between an object with periodic motion and its corresponding trigonometric equation. Through discussions with educators, the following secondary criteria were established.
Turek-Krengel, B., & Woelber, S., & Johnson, E., & Thomas, A. (2010, June), Poster: Windmills In Trigonometry Class Paper presented at 2010 Annual Conference & Exposition, Louisville, Kentucky. https://peer.asee.org/16795
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