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Five problems with compasses:
- Difficult to use- Inaccurate- Lack of integration- Damage the paper- Dangerous
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The research question: can geometry templates replace the compass?
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The circle arc template, design characteristics
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Advantages of circle arc templates in use, relative to compasses
- Simplicity- Accuracy- Integration reduces number of operation- Safe
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Geometric construction using a circle-arc template
- A circle arc template can achieve all the constructions in the curricula, the Poncelet-Steiner theorem- Perpendicular bisector of a given line segment - Variation: Perpendicular bisector of a “long line” segment- Bisecting a given angle
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Discussion and limitations
- “…students can utilize the circle arc template in conjunction with a straightedge to perform the geometric constructions seen in high-school curricula in accurate, efficient, and safe ways”- Limitations - From having only, a single radius - From inability to draw a full 360-degree circle