South Bay mathematics presentation
GeoGebra: From Construction to Abstraction
A presentation about using dynamic construction as a path toward more abstract mathematical relationships.
Context
The original January 2017 resource page paired a slide deck with links to demonstrations about diagonals, fractions, box plots, radians, area, and perimeter.
The exact day and venue were not present in the source materials, so this page displays January 2017 at month precision rather than inventing a specific day.
The title names the progression: construction is not the endpoint. A carefully chosen construction gives students a concrete action, and that action can expose a relationship that is later named more abstractly.
The page keeps the original presentation’s spare white field and saturated purple demonstration graphics.
From the original materials
Demonstrations in motion
Interactive materials
Applets from the talk
Diagonals Cut - Exterior Edition
A GeoGebra drag and notice exploring diagonals cut - exterior edition.
Open applet
Area vs. Perimeter
Investigate which area and perimeter combinations are possible for rectangles, adapted from a Malcolm Swan prompt.
Open applet