Secondary School Geometry Instruction in Denmark

1966 ◽  
Vol 66 (2) ◽  
pp. 125-130
Author(s):  
Francine Abeles
Keyword(s):  
Secondary School ◽  
School Geometry ◽  
Geometry Instruction

Interaction of General Reasoning Ability and Processing Strategies in Geometry Instruction

1981 ◽  
Vol 12 (1) ◽  
pp. 15-26
Author(s):  
V. J. Durapau ◽  
L. Ray Carry
Keyword(s):  
Secondary School ◽  
Achievement Test ◽  
Reasoning Ability ◽  
School Geometry ◽  
Processing Strategies ◽  
Spatial Tasks ◽  
Analytic Processing ◽  
The Relationship ◽  
Theoretical Considerations ◽  
Geometry Instruction

The relationship between certain aptitudes (general reasoning ability and gestalt and analytic strategies of processing spatial tasks) and instructional treatments in point and line symmetry in the plane was studied. A transformational treatment used the isometries of the plane, and a nontransformational treatment used the concepts of distance and perpendicularity in a static sense to teach the concept of symmetry. A 34-item achievement test was constructed to measure learning and transfer for 132 secondary school geometry students. Three significant (p<.02) aptitude × treatment interactions were found. As predicted by theoretical considerations, students with high general reasoning scores and those with high gestalt processing scores profited more from the transformational treatment. Contrary to theory, students with high analytic processing scores profited more from the transformational treatment.

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.

Transforming Middle School Geometry Instruction

2019 ◽  
Vol 24 (7) ◽  
pp. 414-421
Author(s):  
Peter Wiles ◽  
Travis Lemon ◽  
Alessandra King
Keyword(s):  
Middle School ◽  
School Geometry ◽  
Rigid Transformations ◽  
Geometry Instruction

Students move from slides, flips, and turns into reasoning about the characteristics of rigid transformations.

The Back Page: My Favorite Lesson: Paper Folding and Problem Solving

2014 ◽  
Vol 108 (3) ◽  
pp. 240
Author(s):  
Arsalan Wares
Keyword(s):  
Problem Solving ◽  
Secondary School ◽  
School Geometry ◽  
Paper Folding ◽  
Hands On ◽  
Geometry Class

Problem solving is essential in mathematics. Rich problems can challenge and thrill us. This hands-on activity provokes students in a secondary school geometry class to think deeply about perimeters for several polygons as they touch, see, and manipulate a standard rectangular sheet of paper.

scholarly journals Proof validation and modification in secondary school geometry

2017 ◽  
Vol 47 ◽  
pp. 1-15 ◽  
Author(s):  
Kotaro Komatsu ◽  
Keith Jones ◽  
Takehiro Ikeda ◽  
Akito Narazaki
Keyword(s):  
Secondary School ◽  
Proof Validation ◽  
School Geometry

scholarly journals Curriculum Development for Explorative Proving in Lower Secondary School Geometry: Focusing on the Levels of Planning and Constructing a Proof

2019 ◽  
Vol 4 ◽  
Author(s):  
Mikio Miyazaki ◽  
Junichiro Nagata ◽  
Kimiho Chino ◽  
Horoyuki Sasa ◽  
Taro Fujita ◽  
...  
Keyword(s):  
Secondary School ◽  
Curriculum Development ◽  
Lower Secondary School ◽  
School Geometry
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