Mathematics Examinations: Russian Experiments

2003 ◽  
Vol 96 (5) ◽  
pp. 336-342
Author(s):  
Alexander Karp
Keyword(s):  
High School ◽  
Full Range ◽  
Educational Assessment ◽  
School Mathematics ◽  
Teaching Mathematics ◽  
High School Mathematics ◽  
Teaching Approaches ◽  
Policy Makers ◽  
The Public ◽  
The Subject

The goal of this article is to describe the objectives and methods of Russia's—more precisely, of St. Petersburg's—graduation examinations in high school mathematics. Although some interesting studies have described the experience of other nations (see, e.g., Dossey [1996]), the information is not widely disseminated and possible implications for American practice are not discussed much. However, the attention of both the public and the policy makers is now directed at the need for educational assessment, and other examination systems can serve as working experiments in methods of assessment. Such a comparison does not imply constructing a crude tabular comparison between systems of instruction and examination results or constructing simplistic hierarchies of teaching approaches, since curricula and the focus of teaching vary from one system to another. Our increased awareness of the full range of mathematics now being taught, in both content and pedagogy, should inform our own discussions of these issues. The Russian experience in teaching mathematics is a case in point, and knowledge of this experience might help anyone who is interested in teaching the subject.

Interest of Pupils in High School Mathematics and Factors in Securing It

1927 ◽  
Vol 20 (1) ◽  
pp. 26-38
Author(s):  
Alfred Davis
Keyword(s):  
High School ◽  
Present Status ◽  
School Mathematics ◽  
High School Mathematics ◽  
Single Class ◽  
Class A ◽  
The Subject

A few years ago attention was attracted to the high percentage of failures among pupils taking high school mathematics. Sometimes as many as 50% or even more would fail in a single class. A little consideration would have convinced the teachers that such a situation must soon attract unfavorable criticism, and that this might be expected from those who were not most favorably disposed towards the subject. At a time when every subject was to be tried and judged, not according to its past achievements, nor according to its future possibilities, but according to present status alone, someone was certain to take a one-eyed view of high school mathematics and condemn it as an unsuitable subject to be required of all high school pupils.

The Art of Teaching A New Department

1937 ◽  
Vol 30 (3) ◽  
pp. 128-129
Author(s):  
Ruth Wilson
Keyword(s):  
High School ◽  
Thomas Jefferson ◽  
School Mathematics ◽  
School Administrator ◽  
High School Mathematics ◽  
Practical Application ◽  
Mathematic Department ◽  
Big Business ◽  
The Public ◽  
Art Of Teaching

Realtzing that many people, even school administrator, regard mathematics beyond arithmetic as a subject with neither cultural nor practical value, we of the mathematic department of Thomas Jefferson High School decided to make the topic of our second annual exhibit: “The Practical Application of Mathematics in Various Occupations and Industries.” We knew that mere statements of facts would receive little attention—there must be something to attract the eye, and we felt that the statements would be more convincing if they came from buiness men. Our first problem, thefore, was to devise a pleasing scheme for getting the attention of the public in order to sell the idea that all high school mathematics is practical and to stimulate appreciation of the fact that nearly all “big business” uses higher mathematics. Our next problem was to secure the cooperation of various business concerns.

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.

Call for Manuscripts: Entry-Level High School Mathematics Courses: Maximizing Learning for ALL

2009 ◽  
Vol 103 (1) ◽  
pp. 69
Keyword(s):  
High School ◽  
Mathematics Teacher ◽  
School Mathematics ◽  
Teaching Mathematics ◽  
High School Mathematics ◽  
Mathematics Courses ◽  
Entry Level ◽  
Learning Mathematics

The Mathematics Teacher is eager to publish articles about teaching mathematics at the entry level. These courses are critical to fostering students' pursuit of and love for learning mathematics through the high school years and beyond.

Finding Social Mathematics in School Activities

1936 ◽  
Vol 29 (7) ◽  
pp. 340-345
Author(s):  
Dorothy Noyes
Keyword(s):  
High School ◽  
School Organization ◽  
School Mathematics ◽  
High School Mathematics ◽  
School Activities ◽  
School Subjects ◽  
The Subject

Judging from a number of the recent articles on high school mathematics it would seem that there is much thinking and considerable experimenting being done on the subject of making mathematics more functional. Mathcmatics has its definite place in our school organization outside of the immediate classroom; a place proportionate to that of other school subjects but which perhaps has not been as evident.

Remedial work in High School Mathematics

1930 ◽  
Vol 23 (1) ◽  
pp. 36-51
Author(s):  
L. H. Whitcraft
Keyword(s):  
High School ◽  
Elementary Teachers ◽  
Secondary School ◽  
School Curriculum ◽  
School Mathematics ◽  
High School Mathematics ◽  
Secondary School Curriculum ◽  
The Subject ◽  
Method Of Instruction ◽  
Remedial Work

Teachers of high school mathematics are confronted with the fact that there are more failures in the mathematics of the secondary school than in any other subject in the secondary school curriculum. These failures may be traced to some one of the following factors; (1) the materials of mathematics, consisting of the textbook, practice exercises, and special devices; (2) the teacher's method of instruction and manner of presenting the subject matter to the pupils; or (3) the methods and processes of the pupils themselves. Now that the teachers of mathematics realize that there is a great amount of criticism due the department of mathematics what are they going to do about it? The answer should be the same as the elementary teachers have given to the criticisms which have come to them-give remedial work.

The Big Loser

1999 ◽  
Vol 92 (3) ◽  
pp. 208-213
Author(s):  
Daniel Marks
Keyword(s):  
High School ◽  
School Mathematics ◽  
High School Mathematics ◽  
Short And Long Term ◽  
The Subject ◽  
Mathematics Class

The identity of the team in greatest jeopardy of becoming the big loser is the subject of this article. This article explores several facts about the big loser, offering them in a hierarchy that may be appropriate for creating various short– and long–term projects for a high school mathematics class.

Including Leap Year in the Canonical Birthday Problem

2004 ◽  
Vol 97 (2) ◽  
pp. 87-89
Author(s):  
M. J. Nandor
Keyword(s):  
High School ◽  
A Priori ◽  
School Mathematics ◽  
Discrete Mathematics ◽  
High School Mathematics ◽  
Birthday Problem ◽  
The Subject

The solution to the canonical birthday problem is taught at all levels of high school mathematics from algebra to discrete mathematics. Although many excellent articles and applets have been written on the subject, I am surprised that the a priori assumption that only 365 days are in a year is ubiquitous; leap year is rarely—if ever—included in the calculation. In this article, I show how to include leap years, and I examine some of the consequences of doing so.

Comparison of Attitudes and Achievement Among Junior High School Mathematics Classes

1960 ◽  
Vol 7 (7) ◽  
pp. 351-356
Author(s):  
Lois Stephens
Keyword(s):  
High School ◽  
Junior High School ◽  
Junior High ◽  
School Mathematics ◽  
High School Mathematics ◽  
Know How ◽  
The Subject

ATTITUDES TOWARD ARITHMETIC have long been considered to be of great importance to the educator. It has been generally assumed that those students whose attitudes were more favorable toward the subject achieve at a higher level. It was found in a study of attitudes of junior high school students1 that most pupils (87%) enjoy problems when they know how to work them well.

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