An Approach to Euclidean Geometry through Vectors

1966 ◽  
Vol 59 (3) ◽  
pp. 218-235
Author(s):  
Steven Szabo
Keyword(s):  
High School ◽  
Secondary School ◽  
Vector Space ◽  
Euclidean Geometry ◽  
Mathematics Curriculum ◽  
School Curriculum ◽  
Ninth Grade ◽  
School Mathematics ◽  
High School Curriculum ◽  
Secondary School Mathematics

Among the central ideas in mathematics today is the notion of a vector space. This concept has many applications in algebra, geometry, and analysis. In addition to its applications, the concept of a vector space can serve to relate the study of algebra and geometry in the secondary school mathematics curriculum. For the most part, the studies of algebra and geometry in the high school curriculum are not at all related. In fact, it is the case in many instances that the study of geometry turns out to be merely a strange interlude between the study of algebra in the ninth grade and the continued study of algebra in the eleventh grade.

A Problem-solving Component for Junior High School Mathematics

1986 ◽  
Vol 34 (2) ◽  
pp. 14-17
Author(s):  
Roger P. Day
Keyword(s):  
High School ◽  
Problem Solving ◽  
Junior High School ◽  
Junior High ◽  
Eighth Graders ◽  
School Curriculum ◽  
School Mathematics ◽  
High School Mathematics ◽  
High School Curriculum ◽  
Mind Set

While teaching junior high school mathematics at the Stavanger American School in Norway. I sensed the need to challenge the students' perceptions of mathematics. The seventh and eighth graders seemed most concerned with producing correct answers. They saw little need for questioning, evaluating, checking, and comparing. They simply wanted to be shown “how to do it.” I set out to implement a problem-solving component within the structure of the junior high school curriculum that would alter this. “right-wrong-produce an anwer” mind set. This article reports my experience and sets forth ideas that may work for you.

Modern mathematics and the secondary school curriculum

1955 ◽  
Vol 48 (6) ◽  
pp. 386-393
Author(s):  
E. P. Northrop
Keyword(s):  
High School ◽  
Secondary School ◽  
School Curriculum ◽  
High School Curriculum ◽  
Secondary School Curriculum ◽  
Modern Mathematics

This article underlines the current dissatisfaction with the high school curriculum and, at the same lime, offers a few pointers for the next steps to be taken.

Some Thoughts on Tomorrow's Mathematics

1945 ◽  
Vol 38 (6) ◽  
pp. 269-273
Author(s):  
S. L. Berman
Keyword(s):  
High School ◽  
Secondary School ◽  
School Curriculum ◽  
Mathematical Education ◽  
Mathematical Study ◽  
High School Curriculum ◽  
The World ◽  
Secondary School Pupils

How times have changed! A number of years ago, the educator who espoused the cause of increased mathematical study for secondary school pupils would have been tolerated in some quarters, considered eccentric in others, but would have been ignored completely or not too quietly ridiculed in most educational circles. Now, not only are schoolmen deeply interested in the extension of mathematical education, but their concern is not limited to related mathematics or to social mathematics. It has been rediscovered that there is a place in the high school curriculum for the traditional sequential courses in mathematics, a place of importance in the world of tomorrow.

What has Happened to Probability in the High School?

1967 ◽  
Vol 60 (8) ◽  
pp. 824-831
Author(s):  
Frederick Mosteller
Keyword(s):  
High School ◽  
Secondary School ◽  
School Mathematics ◽  
Secondary School Mathematics ◽  
Grade Levels ◽  
Probability And Statistics

The teaching of probability and statistics both in school and secondary school mathematics has come a very long way since the Commission on Mathematics first produced the Gray Book.1 Many commercial publishers have attractive texts, and SMSG and others have produced sections on probability and statistics for various grade levels.

A bibliography on the changing curriculum in secondary school mathematics

1964 ◽  
Vol 57 (3) ◽  
pp. 154-159
Author(s):  
Carol V. McCamman ◽  
Jane M. Hill
Keyword(s):  
Secondary School ◽  
Mathematics Curriculum ◽  
School Mathematics ◽  
Secondary School Mathematics

Some important articles and books concerning the changing mathematics curriculum

College Preparatory Mathematics: Preparation for What?

1968 ◽  
Vol 61 (1) ◽  
pp. 46-49
Author(s):  
Charles R. Eilber
Keyword(s):  
Secondary School ◽  
Mathematics Curriculum ◽  
School Mathematics ◽  
College Preparatory ◽  
Secondary School Mathematics ◽  
Major Aspect ◽  
The Future ◽  
College Preparatory Mathematics ◽  
Mathematics Preparation ◽  
Preparatory Mathematics

DESPITE the great amount of attention focused on the secondary school mathematics curriculum in recent years, there remains a major aspect of the teaching of college preparatory mathematics which has been consistently overlooked. While there seems to be little question that the content and approach of the modern curricula are significant and relevant to the needs and purposes of the future mathematician, engineer, physicist, and statistician, the relevance of the secondary school college preparatory mathematics curriculum to the lives of the future historian, musician, teacher of English, or any articulate layman is doubtful.

Geodesic Domes in The Classroom

1978 ◽  
Vol 71 (7) ◽  
pp. 578-581
Author(s):  
Charles Lund
Keyword(s):  
Public Schools ◽  
Secondary School ◽  
Mathematics Curriculum ◽  
School Mathematics ◽  
Secondary School Mathematics ◽  
Mathematics Classrooms ◽  
Geodesic Domes ◽  
Hands On ◽  
Buckminster Fuller

Buckminster Fuller has created a myriad of ideas that are highly appropriate for study at various points in the mathematics curriculum. This article describes some practical, hands-on ways in which Fuller's ideas about geodesic domes are being used in the secondary school mathematics classrooms of the St. Paul public schools.

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