Approaching Secondary School Geometry Through the Logic of Inquiry Within Technological Environments

2018 ◽  
pp. 247-261
Author(s):  
Carlotta Soldano ◽  
Ferdinando Arzarello
Keyword(s):  
Secondary School ◽  
School Geometry ◽  
Logic Of Inquiry

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.

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

Random Notes on Geometry Teaching

1937 ◽  
Vol 30 (6) ◽  
pp. 288-289
Author(s):  
Harry C. Barber
Keyword(s):  
Secondary School ◽  
School Geometry

The now-popular educational doctrine,—teach less mathematics; teach something that will make better citizens-is already diminishing the enrollment in secondary school geometry. Perhaps the enrollment in geometry ought to be reduced; perhaps, in this age, that would be a serious blunder; perhaps it makes lit tle difference either way.

New Publications

1972 ◽  
Vol 65 (7) ◽  
pp. 648-657
Author(s):  
Irving Allen Dodes ◽  
Mary Lou Fox ◽  
H. Bernice Munro ◽  
Philip Peak ◽  
Norman Schaumberger ◽  
...  
Keyword(s):  
Secondary School ◽  
Teaching Strategies ◽  
Reference Lists ◽  
Visual Aids ◽  
Historical Materials ◽  
School Geometry

This is a complete review of secondary school geometry but with the added features of suggestions for motivation, visual aids, teaching strategies, student and teacher activities, and enrichment materials. The historical materials are well done and appropriately located for optimum use. The nature of geometry as a discipline is made clear, and both modern and Euclidean geometries are investigated. The appendix includes tables. formulas, summaries of definitions, postulates, theorems, and reference lists of films, books, and periodicals.-PEAK.

Discuss with Your Colleagues: Equiareal Polygons: A Mathematical Conversation about a New Concept

2001 ◽  
Vol 94 (3) ◽  
pp. 211-216
Author(s):  
Greisy Winicki-Landman
Keyword(s):  
Professional Development ◽  
Secondary School ◽  
Middle Grades ◽  
Development Program ◽  
Mathematical Discourse ◽  
Multiple Perspectives ◽  
Evaluation Standards ◽  
School Geometry ◽  
Specific Geometry ◽  
Mathematical Definitions

This article describes an activity that is connected with mathematical definitions and that illustrates the process of gradual refinement as a way to understand and construct knowledge. It presents a gradual construction of a specific geometry concept that was the result of the interaction among the participants in a mathematical discourse (Pimm 1987). This activity took place at the end of a professional development program for teachers of secondary school geometry. During this fourteen-week program, the participants were exposed to the NCTM's Curriculum and Evaluation Standards for School Mathematics (1989) and to several activities adapted from two volumes in the Addenda Series: Geometry in the Middle Grades (Geddes 1992) and Geometry from Multiple Perspectives (Coxford 1991).

Principles and Standards (2001): March 2001

2001 ◽  
Vol 7 (7) ◽  
pp. 409-415
Author(s):  
Mary Lindquist ◽  
Douglas Clements
Keyword(s):  
Secondary School ◽  
Elementary School Students ◽  
First Century ◽  
School Students ◽  
Teaching Geometry ◽  
School Geometry ◽  
Grade 5 ◽  
The Subject ◽  
Geometry Teachers ◽  
Principles And Standards

At the beginning of the twentieth century, David Eugene Smith wrote a book about teaching geometry. Although it was written for secondary school geometry teachers, his preface describing why he wrote the book is applicable for all grades. He said that his book “… stands for vitalizing geometry in every legitimate way; for improving the subject matter in such a manner as not to destroy the pupil's interest; for so teaching geometry as to make it appeal to pupils …” (Smith 1911, p. iv). At the beginning of the twenty-first century, the Principles and Standards for School Mathematics (NCTM 2000) gives us guidance in revitalizing geometry for elementary school students. In this article, we share some of its messages for teachers of prekindergarten through grade 5.

Sign in / Sign up

Export Citation Format

Share Document