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Home A series of lessons for introducing the limit concept to advance placement calculus students

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Identifier	Spec 15
Author	LaMesa, Jason Anthony, 1979-
Title	A series of lessons for introducing the limit concept to advance placement calculus students
Publisher	Central Connecticut State University
Date	2011; *
Resource Type	Special Project
Notes	As an Advanced Placement Calculus (APC) teacher I have observed many students struggle with the transition from pre-calculus to calculus. Many of these students were successful in algebra, geometry, and even pre-calculus but the concepts of calculus seemed to be out of these students’ reach. This project was designed as an attempt to take the mystery out of calculus through a series of lessons based on current research. While completing these lessons students will discover the need for calculus in much the same way that Sir Isaac Newton and Gottfried Leibniz did in the 17th century. The series of lessons begins with a problem in which the students must utilize pre-calculus skills in order to calculate the average velocity of an object over a given time interval. While completing the next four lessons, using the same set of circumstances as in lesson one, the students will be asked to refine their velocity calculation method so that velocity of an object at a single point in time can be found. During that time students discover and define two fundamental components of calculus, the limit concept and the definition of derivative. These lessons were then successfully tested during one week summer seminar which gave students a preview of APC. Six students worked in pairs to complete the series of lessons. The students easily made the transition from pre-calculus to calculus and seemed to truly understand the limit concept where students in past years did not. These lessons showed students that calculus concepts are an extension of the students’ P a g e 4 prior knowledge and are required to solve real world problems. This series of lessons was designed to be used in my APC classroom, but instructors at the post secondary level may utilize this series of lessons as well.
Subject	Calculus -- Study and teaching (Secondary)
Department	Department of Mathematical Sciences
Advisor	Gould, S. Louise
Type	Text
Digital Format	application/pdf
Language	eng
OCLC number	804653099
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