How well do pupils estimate answers?

1962 ◽  
Vol 9 (8) ◽  
pp. 436-440
Author(s):  
Charles J. Faulk

The current emphasis on mathematics in the elementary schools makes it more imperative that all elementary mathematics teachers emphasize quality in their teaching. Sueltz has said, “It is the teacher who sets the stage or creates an atmosphere or climate for learning; it is he who selects and adjusts methods of learning for a class, for group, and individuals; it is the teacher who selects the subject matter and the way in which it is learned.”1 A challenge is clearly indicated. How can the teacher meet this challenge? Beginning should be rather easy because the teacher works with the children who need help in this area. Knowing the needs and interests of boys and girls should enable teachers to make some of the decisions which Sueltz mentions. Keeping abreast of current developments in the field of elementary mathematics is a second way of meeting this challenge. Teachers who are not presently reading and studying will find that their background of training will not enable them to understand the professional literature within a year or so. A third way in which teachers can strengthen the instructional program in mathematics is through in-service education. In this manner the results of many experimental procedures which have proven successful may be discussed and incorporated into classroom procedures. Techniques and methods presently used may be reexamined to determine whether or not clarification, modification, deletion, or complete acceptance is most appropriate at this time.

1912 ◽  
Vol 4 (4) ◽  
pp. 162-172
Author(s):  
H. J. Wightman

The Lord, the school and society are responsible for the type of individuals that gets into the high schools, and after the Lord and society have done all that we can expect them to do for some time to come, there is left a much larger problem than simply to find the G.C.D. or the L.C.M. The child is an active thinking individual, if we do not suppress his activity and mechanize his thinking and convert him into a jumping-jack which responds only as the teacher pulls the strings and then apparently in a way that suggests need of lubrication. I have nothing but pity for the child who is allowed to think only through the ruts made by the juggernaut of mechanical teaching. Formal mental discipline, as interpreted by the Gradgrind martinet with its memoriter and rule-stuffing accompaniment, has been the fetish which has blocked the road for the development of childhood in mathematics for a long time.


1966 ◽  
Vol 18 (2) ◽  
pp. 539-546 ◽  
Author(s):  
Milton H. Maier ◽  
Paul I. Jacobs

39 sixth-grade Spanish classes were randomly assigned to either a linear program developed according to the usual procedures or an alternate version of the program produced by reordering the frames in accordance with the advice of experts. The students worked on the program for 30 min. each week without any teacher-directed instruction. For none of the instructional outcomes of achievement, interest in the subject matter, and attitudes toward programmed instruction did the mean levels differ significantly after one semester of instruction. In each group a high relationship was found between aptitude and achievement, and between initial and final interest in the subject matter. Attitudes toward programmed instruction were not consistently related to any other variables.


1923 ◽  
Vol 16 (8) ◽  
pp. 493-499
Author(s):  
Henry P. McLaughlin

How can geometry be reclaimed from its present position in most of our secondary schools as little more than an unsuccessful course in formal mathematical logic, is a question that has engaged the attention of alert teachers for many years. There is a movement on foot at the present time to overhaul the whole of our mathematical teaching in all schools below the college grade which is doing much to improve the situation. As soon as school authorities throughout the country had decided that geometry could and should be taught in the newly organized junior high schools, the problem was put squarely up to mathematics teachers to reorganize the content and methods of this subject. It was quite evident from the start that the old style presentation of mathematical proofs that we call demonstrative geometry would not be understood by pupils below the ninth grade, and there was a sneaking suspicion in the minds of many that it was not too well understood by most pupils above that grade. Accordingly Euclid's organization of the subject matter of geometry was thrown boldly overboard by mathematical committees appointed to study the situation, and a course of study was recommended which was based on the capacities of childrens’ minds rather than on those of the ancient Greek philosophers. Rigid proofs were eliminated and intuitive, observational, inventional, and numerical geometry was substituted.


1967 ◽  
Vol 60 (6) ◽  
pp. 641-652
Author(s):  
Lucas N.H. Bunt

Editor's Note.—Euclides is a magazine for the didactics of mathematics. It was started in 1924, and it is now the official journal of the associations of mathematics teachers in the Netherlands. There are ten issues a year, of 32 pages each. It contains articles on problems connected with the teaching of mathematics in the Netherlands and in other countries, especially in relation to modernization tendencies, and articles which are aimed at showing the mathematical background of the subject matter which is taught in secondary schools. It also gives reviews of books appearing in the field.


1912 ◽  
Vol 5 (1) ◽  
pp. 1-3
Author(s):  
Eugene R. Smith ◽  
Maurice J. Babb ◽  
H. J. Wightman

Complete Roman notation.


1962 ◽  
Vol 55 (6) ◽  
pp. 493-495
Author(s):  
William A. Gager

In most colleges and universitie, the department of mat hematics in the college of arts and sciences teaches the subject matter pertinent for the training of high school mathematics teachers. During the past few years, it has been most encouraging to observe the modernization of subject matter made by alert chairmen of many of our university mathematics departments.


2021 ◽  
pp. 151-159
Author(s):  
Արա Հակոբյան

The artist and expert of art theory Raphael Chichmanyan’s works of art have correspondingly been covered in professional literature. However, his mural artworks, besides some brief references, still need some detailed professional exposure. The paper submitted is dedicated to the mural artworks by Chichmanyan housed in the Nubar Library of Paris and the House of Armenian Students in Paris. The subject-matter artworks have been created in line with the depiction technique typical of medieval ornamentation; nevertheless, nowadays, the artistic solutions of the interior of the institutions mentioned above ascribe an absolutely novel framework to Chichmanyan’s murals, deserving the admiration of art buffs.


Author(s):  
Avikam Gazit

The purpose of this study was to examine the attitudes mathematics teachers toward integrating humor in math lessons. Mathematics and humor are not seen as consistent with each other. Mathematics is seen as a subject is difficult to understand and its subject matter is isolated without any humanistic elements. Integrating humor in math lessons may create a pleasant atmosphere and reduce math anxiety. Humor can increase motivation as well as promoting creative thinking. A sample of 25 math teachers, most of them from elementary schools, answered a questionnaire. An important conclusion to be drawn from the findings is the positive attitudes of the teachers regarding the integration of humor in math lessons. It recommended strengthen math teacher to integrate humor in their lessons.


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