Integrating Transformation Geometry into Traditional High School Geometry

1992 ◽  
Vol 85 (9) ◽  
pp. 716-719
Author(s):  
Steve Okolica ◽  
Georgette Macrina
Keyword(s):  
High School ◽  
Mathematics Curriculum ◽  
School Mathematics ◽  
High School Mathematics ◽  
Evaluation Standards ◽  
High School Geometry ◽  
School Geometry ◽  
Transformation Geometry ◽  
To Receive ◽  
School Mathematics Curriculum

The grades 9-12 section of NCTM's Curriculum and Evaluation Standards for School Mathematics defines transformation geometry as “the geometric counterpart of functions” (1989, 161). Further, the Standards document recognizes the importance of this topic to the high school mathematics curriculum by listing it among the “topics to receive increased attention” (p. 126). Also included on this list is the integration of geometry “across topics.”

What Should High School Geometry Be?

1968 ◽  
Vol 61 (5) ◽  
pp. 466-471
Author(s):  
Charles Buck
Keyword(s):  
High School ◽  
Mathematics Curriculum ◽  
School Mathematics ◽  
High School Mathematics ◽  
College Mathematics ◽  
High School Geometry ◽  
School Geometry ◽  
Mathematics Curricula ◽  
School Mathematics Curriculum

The question “What to do about geometry?” has for decades beset the planners of both high school and college mathematics curricula. Until the nature of the first course in high school geometry is settled, the high school mathematics curriculum cannot stabilize. If the high school geometry question could be answered, this would help the colleges to reset geometry in their curricula.

Mathematics in the Junior High School: Mathematical contributions to the needs of youth

1958 ◽  
Vol 51 (8) ◽  
pp. 609-612
Author(s):  
Chester Scott
Keyword(s):  
High School ◽  
Junior High School ◽  
Mathematics Curriculum ◽  
Junior High ◽  
School Mathematics ◽  
High School Mathematics ◽  
Proper Functions ◽  
School Mathematics Curriculum

In examining the organized efforts to bring the junior high school mathematics curriculum into focus with its proper functions, two movements become apparent: the administrative reorganization which created the junior high school, and the attempts to redirect the objectives of junior high mathematics.

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.

Summary and Curricular Implications: An Outgrowth of Articles by Thom and Dieudonné

1975 ◽  
Vol 68 (8) ◽  
pp. 683-687
Author(s):  
John G. Stevens ◽  
Robert Garfunkel
Keyword(s):  
High School ◽  
Mathematics Curriculum ◽  
School Mathematics ◽  
High School Mathematics ◽  
School Mathematics Curriculum

The reader should be intrigued by the thoughts expressed in this article, even though he may not agree with the authors. The questions raised cannot be ignored by anyone interested in the high school mathematics curriculum.

Prove It

1998 ◽  
Vol 91 (8) ◽  
pp. 726-728
Author(s):  
Amy A. Prince
Keyword(s):  
High School ◽  
School Mathematics ◽  
Evaluation Standards ◽  
High School Geometry ◽  
School Geometry

Ask anyone who has taken high school geometry, and he or she will have a notion of a proof— generally, a two-column proof of statements and reasons. The two-column proof has fallen out of favor in such reform documents as the NCTM's Curriculum and Evaluation Standards for School Mathematics, which seeks to emphasize “deductive arguments expressed orally or in sentence or paragraph form” (NCTM 1989, 126). The two-column proof is a somewhat rigid form, yet it demonstrates to the students that they may not just give statements or draw conclusions without sound mathematical reasons.

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