
05986047
j
2012a.00514
Siegrist, Raymond
Inquiry into fractals.
Math. Teach. (Reston) 103, No. 3, 206212 (2009).
2009
National Council of Teachers of Mathematics (NCTM), Reston, VA
EN
G50
I90
U70
R20
construction of fractals
student activities
Sierpinski triangle
Sierpinski fractal family
construction matrix
congruent transformations
computer graphics
word processing software
rotations
reflections
From the introduction: The exotic images of fractals often pique the interest of high school mathematics students, and this interest presents an opportunity for geometry teachers to draw students into an investigation of transformations and patterns. By using a simple building block and fractals\rq\ selfimaging characteristic (as the figure grows, it retains the pattern established by the building block), teachers can bring construction of fractals into the high school geometry curriculum. The three activities described in this article engage students in constructing a fractal, searching a fractal for patterns, and using transformations to build different fractals. Students gain insight into patterns as their fractals grow; they flip or rotate fractal pieces by following a design and translating the pieces into place.