Objectives in Teaching Demonstrative Geometry

1927 ◽  
Vol 20 (8) ◽  
pp. 435-450
Author(s):  
W. D. Reeve
Keyword(s):  
Mathematics Teacher ◽  
The Other ◽  
Elementary Algebra ◽  
Teachers College ◽  
Intermediate Algebra ◽  
Teaching Of Mathematics

In The Mathematics Teacher for November, 1925 I published an article on “Objectives in the Teaching of Mathematics,” a large part of which was a list of specific objectives in elementary algebra. In the March 1927 issue of the same magazine I published a list of objectives to be attained in teaching intermediate algebra. In the preparation of these lists I had the assistance of a large number of my students in Teachers College who are mature teachers of experience. The objectives therein presented have furnished many groups with basic lists of aims which have been used in preparing new courses of study in various parts of the country. In the last two years I have also prepared, with the help of my students a list of objectives to be obtained in the teaching of demonstrative geometry. As was the case with the other two lists, this new group of objectives is not intended to be final, but tentative. We are willing to present them to the readers of The Mathematics Teacher because we hope that in this way they will be discussed and some more definite aims established in the teaching of geometry.

Objectives in Teaching Intermediate Algebra

1927 ◽  
Vol 20 (3) ◽  
pp. 150-160
Author(s):  
W. D. Reeve
Keyword(s):  
Mathematics Teacher ◽  
Algebra I ◽  
Classroom Teachers ◽  
Elementary Algebra ◽  
Intermediate Algebra ◽  
Teaching Of Mathematics

In The Mathematics Teacher for November, 1925, I contributed an article on “Objectives in the Teaching of Mathematics.” A large part of the discussion was devoted to the objectives to be attained in teaching elementary algebra. I have had so many requests for reprints of the above article and so many comments as to its helpfulness to classroom teachers that I venture at this time to give a list of objectives in intermediate algebra.

News Notes

1935 ◽  
Vol 28 (5) ◽  
pp. 322-323
Keyword(s):  
Los Angeles ◽  
College Algebra ◽  
Junior Colleges ◽  
The Other ◽  
University Of California ◽  
Columbia University ◽  
Analytic Geometry ◽  
Teachers College ◽  
Teaching Of Mathematics ◽  
The University

Professor Earle R. Hedrick of the University of California at Los Angeles will give two courses in mathematics this summer at Teachers College, Columbia University. One course will deal with professionalized subject matter in algebra and geometry. It will treat those topics in elementary algebra and geometry that offer peculiar difficulty to teachers. The other course will deal with the teaching of mathematics in junior colleges and in lower divisions of colleges and universities. Here an attempt will be made to study the pedagogical questions that arise in instruction in college algebra, trigonometry, analytic geometry, and the calculus.

Editorial

1940 ◽  
Vol 33 (1) ◽  
pp. 43
Keyword(s):  
Mathematics Teacher ◽  
Columbia University ◽  
Teachers College ◽  
Active Service ◽  
Teaching Of Mathematics

The May 1926 number of THE MATHEMATICS TEACHER was issued in honor of Professor David Eugene Smith, who in February of that year retired from active service at Teachers College, Columbia University. At that time his students and colleagues presented a portrait of Professor Smith to the college and gave a dinner in his honor. They endeavored to express to him their appreciation of the uniqueness of his work and their regard for him as a teacher and friend. Professor Smith's influence on the teaching of mathematics had been such that it seemed appropriate then to the editors of THE MATHEMATICS TEACHER to bring together in one number of the magazine the interpretations of his work and contributions as they were made on these occasions.

Editorial: National Council Publications

1941 ◽  
Vol 34 (3) ◽  
pp. 133
Keyword(s):  
New York ◽  
Mathematics Teacher ◽  
Official Journal ◽  
National Council ◽  
Teachers College ◽  
Subscription Price ◽  
June July August ◽  
Different Types ◽  
Teaching Of Mathematics ◽  
June July

The National Council of Teachers of Mathematics has published three different types of material. First, there is THE MATHEMATICS TEACHER, the official journal of the Council, which is published every month except in June, July, August and September, the subscription price of which is $2.00 per year. Second, there are the yearbooks (sixteen of them to date) on important topics related to the teaching of Mathematics, which (except for the first and second which are now out of print) can be had postpaid for $1.25 each. Or if desired, all of the yearbooks still available, namely 3- 16 inclusive, may be had from The Bureau of Publications, Teachers College 525 W. 120 St., New York, N. Y. for $14.00 postpaid. Third, the Council has published the first of a series of monographs on “Contributions of Mathematics to Civilization,” which can be had from The Bureau of Publications above for 25¢ postpaid. Other monographs in the series are in preparation and will be published as soon as possible.

Scales for the Study of Children’s Characteristics

1919 ◽  
Vol 12 (1) ◽  
pp. 10-16
Author(s):  
Eugene Randolph Smith
Keyword(s):  
Standardized Tests ◽  
Mathematics Teacher ◽  
Teaching Of Mathematics

Recent issues of The Mathematics Teacher have given considerable attention to standardized tests and their influence on the teaching of mathematics. The authors, Dr. Minnick and Dr. Rogers, while they are convinced of the value of such tests, recognize their limitations, up to this time, in that they test the more routine kinds of work. They, with other investigators, have been trying to develop tests that will gage the fundamental qualities that underlie successful accomplishment in the subjects in question.

A Brief Study in Non-Mathematical Logic

1923 ◽  
Vol 16 (4) ◽  
pp. 242-246
Author(s):  
N. J. Lennes
Keyword(s):  
Mathematical Logic ◽  
Mathematics Teacher ◽  
School Program ◽  
Teaching Of Mathematics ◽  
The Mind

While engaged in taking general stock of the existing literature on the teaching of mathematics the writer came again upon a paper by Ernest C. Moore entitled “Does the study of Mathematics train the mind specially or universally?” which was printed in The Mathematics Teacher Vol. 10 pages 1-18. A cursory reading of Moore's paper revealed certain interesting qualities which led to closer scrutiny. The purpose of the paper, as revealed by its content rather than by the title, is to show that the only reason for studying any subject is the use which the student may reasonably be expected to make in his own life of the matter actually learned. “Every form of skill that we attempt to teach him gets its place in the school program solely because he cannot live a civilized life without practicing it” (op. cit. p. 3). (The italics are mine).

Pre-Induction Courses in Mathematics

1943 ◽  
Vol 36 (3) ◽  
pp. 114-124
Author(s):  
John W. Studebaker
Keyword(s):  
Public Schools ◽  
Mathematics Teachers ◽  
Armed Forces ◽  
The United States ◽  
National Council ◽  
Columbia University ◽  
University Of Michigan ◽  
Teachers College ◽  
The Public ◽  
Teaching Of Mathematics

The United States Office of Education has received urgent and repeated requests from individuals and organizations throughout the country to give the secondary schools detailed suggestions for the teaching of mathematics for pre-induction purposes. In December 1942, the Office in cooperation with the President of The National Council of Teachers of Mathematics appointed a committee to make a survey of the mathematical needs of the armed forces and upon this basis to make a report concerning what the schools can do for the emergency. The committee consisted of Virgil S. Mallory, Professor of Mathematics, New Jersey State Teachers College at Montclair; William D. Reeve, Professor of Mathematics, Teachers College, Columbia University; Giles M. Ruch, Chief, Research and Statistical Service, U. S. Office of Education; Raleigh Schorling, Professor of Education, University of Michigan; and Rolland It. Smith, Specialist in Mathematics for the Public Schools of Springfield, Massachusetts, and President of the National Council of Teachers of Mathematics. Dr. Smith served as chairman of the Committee.

Improving the learning of mathematics

1954 ◽  
Vol 47 (6) ◽  
pp. 393-400
Author(s):  
Kenneth P. Kidd
Keyword(s):  
Mathematics Teacher ◽  
Mathematics Instruction ◽  
Spatial Relationships ◽  
Problem Situations ◽  
Teaching Of Mathematics ◽  
Effective Use ◽  
Clear Conception

Probably every mathematics teacher has asked himself the question, “How can I bring about improvements in the teaching of mathematics?” An answer to this question presupposes a clear conception of the desirable outcomes of mathematics instruction. Let us assume that the test of competence in mathematics is the effective use of the skills and concepts of mathematics in problem situations which involve quantitative and spatial relationships.

Recreational Mathematics

1950 ◽  
Vol 43 (6) ◽  
pp. 290-291
Author(s):  
Aaron Bakst
Keyword(s):  
Mathematics Teacher ◽  
Classroom Teacher ◽  
The Other ◽  
Mathematical Instruction ◽  
Other Hand ◽  
Points Of View ◽  
Mathematical Operations ◽  
Interest And Motivation ◽  
Mathematical Literature

This is the beginning of a new department in The Mathematics Teacher. This department has a purpose. Its aim is to assist the classroom teacher in putting color and life in everyday teaching. There are many ways and means how this might be achieved. Generally, recreations are supposed to introduce elements of interest and motivation. On the other hand, recreations, as they have been known in the mathematical literature for centuries, have been centered around the puzzling and the play with mathematical operations. This may be interesting, but only for a while. Soon the interest in such things may wear off. This acts as a warning that we should not become too enthusiastic over such types of recreations. If we teach mathematics from such recreational points of view only, we may obscure the more important aims of the mathematical instruction.

An Attempt to Eliminate Common Errors in Elementary Algebra

1946 ◽  
Vol 39 (8) ◽  
pp. 385-390
Author(s):  
Albertus Smith
Keyword(s):  
Elementary Algebra ◽  
The Everyday ◽  
Intermediate Algebra ◽  
Solving Equations

One of the most discouraging problems which confronts the teacher of both elementary and intermediate algebra is the everyday recurrence of fundamental errors in handling algebraic fractions and solving equations, namely, destruction of the values of the fractions by faulty cancellation, and destruction of equality. The present paper is a summary of an effort which the author has used in an attempt to reduce the number of such errors, and which he has found to be more or less successful.

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