A Property of Right Triangles and Some Classical Relations

1986 ◽  
Vol 79 (8) ◽  
pp. 640-643
Author(s):  
Angelo S. Didomenico
Keyword(s):  
High School ◽  
Elementary Mathematics ◽  
School Mathematics ◽  
Advanced Mathematics ◽  
High School Mathematics ◽  
Straightforward Manner

Mathematics is an ever-growing subject. Included in this growth is a process of simplification in which formulas and relations often arrived at inductively or derived by long and difficult methods are later found to follow easily and directly from other findings. Advanced mathematics abounds with fascinating results of this kind. Similar ones also exist in elementary mathematics. I have found a property of right triangles, given by the following theorem, from which students can deduce, in a surprising and straightforward manner, some of the most significant relations encountered in high school mathematics.

Election of High School Mathematics by Females and Males: Attributions and Attitudes

1981 ◽  
Vol 18 (2) ◽  
pp. 207-218 ◽  
Author(s):  
Joan Daniels Pedro ◽  
Patricia Wolleat ◽  
Elizabeth Fennema ◽  
Ann DeVaney Becker
Keyword(s):  
High School ◽  
Mathematics Performance ◽  
School Mathematics ◽  
Advanced Mathematics ◽  
High School Mathematics ◽  
Mathematics Courses ◽  
Small Set ◽  
Advanced Mathematics Courses

Males, more than females, elect advanced mathematics courses. This differential in the number of mathematics courses elected has been cited as a major explanation of sex-related differences in adults' mathematics performance and in their participation in mathematics-related careers. Knowledge about some of the variables that enter into the decision to persist in the study of mathematics is essential for those who are interested in encouraging females, as well as males, to adequately prepare themselves in mathematics. This study identified some attitudinal and attributional variables that relate to the election of mathematics courses by females and males. A small set of variables was found to explain some of the variance in female and male mathematics plans. These results might help in understanding why females do not continue in as large a proportion as males to elect mathematics and/or to enter mathematics-related careers.

Field Project in Junior High School Mathematics

1945 ◽  
Vol 38 (7) ◽  
pp. 327-328
Author(s):  
Gladys Pyatt
Keyword(s):  
High School ◽  
Junior High School ◽  
Grade Level ◽  
Elementary Mathematics ◽  
Junior High ◽  
Daily Life ◽  
School Mathematics ◽  
Laboratory Work ◽  
Eighth Grade ◽  
High School Mathematics

The idea is rapidly gaining recognition that elementary mathematics would profit greatly from the introduction of field and laboratory work. Arithmetic has too often been taught as a skill unrelated to life outside the classroom. If arithmetic is to be fully meaningful, greater care must be taken to assure understandings that function in daily life. In this paper is presented a unit of work that was carried out with pupils on the eighth grade level in which they were taken out of the classroom for observation and first hand information.

The Mathematics of the Sundial

1936 ◽  
Vol 29 (6) ◽  
pp. 295-303
Author(s):  
LaVergne Wood ◽  
Frances Mack Lewis
Keyword(s):  
High School ◽  
Elementary Mathematics ◽  
Senior High School ◽  
School Mathematics ◽  
Plane Geometry ◽  
High School Mathematics ◽  
The Arts ◽  
New Material ◽  
Outstanding Work

Miss Vevia Blair,1 for many years Head of the Department of Mathematics in the Horace Mann High School for Girls, did outstanding work experimenting with new material in senior high school mathematics. She brought her unusual imagination and originality to bear on the problems of unifying the different branches of elementary mathematics, coordinating mathematics with other subjects, using the arts to make mathematics and its history vivid and satisfying, and presenting the material of elementary mathematics as a means to some immediate accomplishment. She believed that the cultural obon the Sundial, she envisioned as an outlet for the knowledge gained in the study of demonstrative plane geometry, and as a means of fulfilling the objectives which she felt to be so important.

What Modern School Administration Expects of High School Teachers of Mathematics

1932 ◽  
Vol 25 (2) ◽  
pp. 66-70
Author(s):  
Jackson L. Lambert
Keyword(s):  
High School ◽  
High School Teachers ◽  
Elementary Mathematics ◽  
School Administration ◽  
School Mathematics ◽  
School Staff ◽  
High School Mathematics ◽  
School Teachers ◽  
Modern School

Accepting the modern dictum that all school teachers, high or elementary, are teachers of children rather than teachers of subjects, there is the added responsibility of teaching children something. Hence, there exists some 25 per cent of the total high school staff whose efforts are devoted to assisting pupils to a degree of mastery of elementary mathematics. To be able to perform this function the teacher of high school mathematics must make an appropriate preparation.

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