Proof transcription in high school geometry: a study of what teachers recognize as normative when students present proofs at the board

2020 ◽  
Vol 105 (1) ◽  
pp. 71-89
Author(s):  
Justin K. Dimmel ◽  
Patricio G. Herbst
Keyword(s):  
High School ◽  
High School Geometry ◽  
School Geometry

Vertex-Edge Graphs: An Essential Topic in High School Geometry

2008 ◽  
Vol 102 (3) ◽  
pp. 178-185
Author(s):  
Eric W. Hart
Keyword(s):  
High School ◽  
Secondary School ◽  
Essential Characteristic ◽  
High School Geometry ◽  
School Geometry ◽  
Geometric Objects

Secondary school geometry is perhaps most succinctly described as the study of shape. Many aspects of shape are studied, such as properties of and relationships among shapes, location of shapes, transformations of shapes, and reasoning about shape. Consider an important counterpoint to this shape story or perhaps chapter zero in the story—the study of vertex-edge graphs, which are geometric objects for which shape is not an essential characteristic.

Let’s Use Trigonometry

1975 ◽  
Vol 68 (2) ◽  
pp. 157-160
Author(s):  
John J. Rodgers
Keyword(s):  
High School ◽  
Subject Matter ◽  
School Mathematics ◽  
High School Mathematics ◽  
Mathematics Courses ◽  
High School Geometry ◽  
School Geometry ◽  
The Subject ◽  
Order Of Presentation

All too often in the teaching of high school mathematics courses, we overlook the inherent flexibility and interdependence of the subject matter. It is easy to fall into the trap of presenting algebra, trigonometry, geometry, and so on, as separate areas of study. It is because they were taught this way traditionally. With relatively minor changes in the order of presentation, we can demonstrate to the student the vital interconnectiveness of mathematics. For example, many courses in high school geometry include a unit on trigonometry. The student learns three trigonometric ratios, namely, the sine, the cosine, and the tangent. He also learns to use the trigonometric tables to solve for an unknown side of a right triangle. Generally this material comes quite late in the year.

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