1. Read the Introduction
and the Overview of the Principles
from the NCTM (2000) Principles and Standards for School Mathematics.
Email your responses to the following question to hollylynne@ncsu.edu before midnight, August 29th.
NCTM (2000) states, "Technology is essential in teaching
and learning mathematics; it influences the mathematics that is taught and
enhances students'
learning" (p. 24).
i. Do you agree or disagree that
technology is essential in teaching and learning mathematics? Provide
a justification for your position.
ii. Describe how technology can
influence the mathematics that is taught in middle and high school. Use
specific examples.
2. Using GSP, construct the following figures such that given ANY manipulation, the object will maintain the properties of the respective figure. Be prepared to justify (using geometrical properties and theorems) why your construction method is correct. Save each construction as a separate GSP file and bring these files to class. Your sketches will be graded during class.
a. a general (non-square, non-rectangle, non-rhombus)
parallelogram
b. square
c. a rectangle that is not restricted to being a square
d. a rhombus that is not restricted to being a square
e. a kite (look up a definition if needed!)