Performance Standard 3: Instructional Delivery

The teacher effectively engages students in learning by using a variety of instructional strategies in order to meet individual needs. 


 

Reflexive Statement:

Through the use of the online resource “The Calculus Phobe” students are introduced to the intuitive concept of a limit in a practical, entertaining method.  It also reinforces the neighborhood concept I talk about during the lesson.  This method has worked well in aiding student retention and understanding of the more formal explanations of text and notes.  This lesson incorporates graphical and numerical displays developed by me via the use of TI-InterActive software and incorporates emphasis of the pitfalls of the graphing calculator as well as application and need of the Four Prong approach to learning calculus.  The ability to enhance lessons and notes via the use of TI-InterActive, Math Type, and CuteWriter software as well as online clips exhibit my growth development in the use of technological and online resources to aide to student understanding.  “The Calculus Phobe” may also be incorporated into other lessons on continuity, intermediate value theorem, and derivatives as needed.

 

 

Artifact 1: Lesson Finding Limits Graphically and Numerically (SOL: APC.2, APC.3, and APC.4)

               Class Notes: Numerical/Graphical Analysis of Limits

Artifact 1A: Worksheet: Numerical/Graphical Analysis of Limits

Artifact 1B: Solutions: Worksheet Numerical/Graphical Analysis of Limits

              Course: Laboratory Calculus: MTH 175 Calculus of One Variable

 

      Description: The lesson focuses on the intuitive concept of a limit, proper limit notation, how to                             determine a limit both numerically and graphically, and when a limit fails to exist.                              Introduction to the formal definition is provided along with formal proof notation.                               The lesson provides required concepts for college calculus as well as AP calculus                      curriculums.  Also included is a worksheet utilizing concepts delivered for student                                practice using their TI-84+ calculators for analysis of problems and solutions posted

                     on Blackboard for student access.

 

 

 Artifact 2: “The Calculus Phobe” Internet Instructional Resource

                       Course: Laboratory Calculus: MTH 175 Calculus of One Variable

 

    Description: Online internet tutorials for the Calculus Phobe: www.calculus-help.com/tutorials