The CANVAS at The Backyard Subdivision : A Web-Based Module

Integrating Mathematics and Civil Engineering

 

This web page introduces a module integrating the concepts of ratio, proportion and scaling with assessment activities measuring content knowledge, decision making and problem-solving skills associated with building a subdivision.

 

The scenario can be implemented in middle and high school classrooms, as well as with 4-8th grade pre-service teachers by scafolding the content and technology employed. The approach used introduces an exploratory context into the classroom where students discover what mathematical knowledge is needed in order to design the layout of the subdivision. Our findings indicate that by working on this problem students develop community awareness and a more educated consumer attitude.

 

Three main tools are included:

• The Work Bench is a Macromedia FLASH simulator that allows students to scale and rotate geometric objects available at the bench. It also aids students to examine important geometric relationships between the size of a geometric object and it area and perimeter.

• The Blank Canvas is a simulator to aid students' discover of relationships between scaling and changes in area and perimeter of geometric figures. Students test hypotheses and construct proofs by moving geometric objects from a Work Bench to the Blank Canvas. By dropping on the Canvas, say, squares with side measuring double (scale 200) or triple (scale 300) the initial size, the user can "cover" the scaled square with "unit squares" available at the Bench, by dragging them into the Canvas. This would serve as an informal "proof"of the relationship between the length of the side and the area and perimeter of the square. A "draggable ruler is provided.

• The Backyard Subdivision is a FLASH simulator that serves as assessment tool to test students problem-solving and critical thinking skills using ratio, proportion and scaling by having to design and build a subdivision following city ordinances. A Construction Budget is prepared and evaluated by a builder from the community who selects the best plan and budget following similar criteria as in real life. It has been classroom tested in middle and high school sttings, as well as with pre-service teachers.

Teacher materials contain pencil and paper pre and post tests, exploratory activities, as well as an on-line quiz.

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Keywords: ratio, proportion, scaling, area, perimeter, technology, critical thinking, civil engineering

 

 Copyright: LUMENWORKS, 2004