Recent Advances in the Teaching of Mathematics

1917 ◽  
Vol 9 (3) ◽  
pp. 141-147
Author(s):  
R. H. Henderson

In attempting a discussion of our subject, we are confronted by three possible lines of attack: First, what advances, if any, in the subject matter that is presented in the ordinary courses in mathematics; second, what improvements are to be noted in the methods of presentation of mathematical subjects to the classes; and third, what advancement is worthy of note among teachers of mathematics as to their professional training and fitness to be recognized as leaders in their chosen profession. Any one of these lines of thought is capable of extended discussion which exceeds the limits of this paper. We shall, therefore, set forth under each some points which appeal to us as worthy of presentation on a subject of such vital interest to us all.

Author(s):  
I.N. Simonova

The paper considers the development of broadcasting in the Penza region in the late 1940s and early 1950s, Emphasizes that this period is characterized by active and widespread broadcasting across the country and on the territory of the studied region. Radio infection affected not only regional settlements and working centers of the region, but also remote collective farms. The leader in the development of local radio broadcasting was Kameshkir district, which had its own Studio. It is noted that the radio broadcasting of the Penza region was under strict control of the party and Soviet bodies. For each program, a mandatory verification procedure was introduced, and thematic plans of programs were sent to the places. The quality of local programs directly depended on the level of professional training of editorial staff. The most interesting and operative in content were the programs of the Penza, Kuznetsk and Kamenskaya editions, which actively attracted local party, Komsomol and Soviet workers, leading figures in industry and agriculture, propagandists and agitators to the speeches. Radio broadcasting in the Penza region in the 1940s and early 1950s was actively developed and had a strong propaganda orientation, which was reflected in the subject matter and the quantitative ratio of radio broadcasts.


1946 ◽  
Vol 39 (8) ◽  
pp. 351-353
Author(s):  
Ann C. Peters

Accepting the thesis that through guidance children can be helped to live richly, we might well go further in stating that guidance and education are aspects of the same thing—the development of the whole individual. If guidance and education are the inseparable twins, then the task of directing personality, intellectual and social development falls heavily, indeed, upon the classroom teacher; for it is he who determines when the child and when the subject matter shall be taught. This, then, is the problem facing the classroom teacher of today, and the mathematics teacher in particular, as his complexities seem to have “varied directly as the increase of the high school population.”


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.


1928 ◽  
Vol 21 (6) ◽  
pp. 316-325
Author(s):  
Laura Blank

Whether one agrees with the theory of attempting to unify or generalize mathematics or not, whether one entertains an opinion that unification or generalization of mathematics is feasible or desirable even if possible, or one does not, out of this theory and attempt, together with the psychological studies developed contemporaneously, have come new and splendid developments in subject matter, and in the theory and in the technique of the teaching of mathematics. The efforts to unify mathematics have been in a large measure responsible for a general rationaizing and psychologizing of the branches of the subject, not alone the high school branches but the college branches as well. René Descartes, called “the father of modern algebra,” the inventor of analytic geometry, perhaps one should say, rather, the discoverer of the interrelations between geometry and algebra, more than three hundred years ago in his complete and unique coordination of these two branches of mathematics set in motion further attempts of the same sort. John Perry, of England, engineer and teacher of engineering students, about three decades ago, dissatisfied with the preparation of the youth of the English sclwols in mathematics, advocated among other plans for promoting interest, mastery and originality on the part of the students of mathematics that of correlating mathematics with other subjects, with the other sciences particularly, stressing application rather than theory. The most recent impetus in the direction of unifying or generalizing mathematics is the recognition, though no whole-hearted endorsement of the endeavor, made in the Report of the National Committee on the Reorganization of Mathematics in Secondary Education published in 1922.


1968 ◽  
Vol 61 (3) ◽  
pp. 287-295
Author(s):  
J. W. A. Young

In the study of the pedagogy of mathematics, the point of view is sometimes that of the manner in which the subject matter is arranged and developed; at others that of the manner in which it is presented to the pupils. To introduce this distinction into the nomenclature, the former has sometimes been called method and the latter mode.


Author(s):  
Cynthia L. Allen

This chapter introduces the subject matter of the book and briefly surveys the literature on dative external possessors cross-linguistically and in the history of English. This corpus-based study adds to the empirical base for assessing hypotheses about the reasons for the loss of dative external possessors as a productive construction in Middle English, drawing on recent advances in linguistic typology, syntactic theory, and language contact. Cross-linguistically, dative external possessors are most likely to be found with affected possessors of inalienable possessa. This study focuses on possessa referring to the body and the mind and compares the use of internal and external possessors, establishing the timing of the loss of the external possessor and evaluating proposed explanations for this syntactic change, including the so-called Celtic Hypothesis.


1925 ◽  
Vol 18 (7) ◽  
pp. 385-405
Author(s):  
W. D. Reeve

The first step in making a modern course of study in mathematics is to set up a list of desirable objectives. The second step is to determine the nature and the extent of the subject-matter which will best enable teachers to realize these objectives. The third step is to develop the best methods of teaching the selected subject matter. The fourth step is to organize a testing program which can be used by teachers to see whether the objectives have been attained. Corollary to the last two steps is the recognition of the need for an analysis of how pupils learn most efficiently and easily. It is the purpose of this paper to discuss only the first step mentioned above, namely, the setting up of a desirable list of objectives. It is hoped that attention may later be given to the remaining steps.


PMLA ◽  
1935 ◽  
Vol 50 (4) ◽  
pp. 1320-1327
Author(s):  
Colbert Searles

THE germ of that which follows came into being many years ago in the days of my youth as a university instructor and assistant professor. It was generated by the then quite outspoken attitude of colleagues in the “exact sciences”; the sciences of which the subject-matter can be exactly weighed and measured and the force of its movements mathematically demonstrated. They assured us that the study of languages and literature had little or nothing scientific about it because: “It had no domain of concrete fact in which to work.” Ergo, the scientific spirit was theirs by a stroke of “efficacious grace” as it were. Ours was at best only a kind of “sufficient grace,” pleasant and even necessary to have, but which could, by no means ensure a reception among the elected.


1965 ◽  
Vol 04 (03) ◽  
pp. 112-114 ◽  
Author(s):  
H. Zinsser

An outline has been presented in historical fashion of the steps devised to organize the central core of medical information allowing the subject matter, the patient, to define the nature and the progression of the diseases from which he suffers, with and without therapy; and approaches have been made to organize this information in such fashion as to align the definitions in orderly fashion to teach both diagnostic strategy and the content of the diseases by programmed instruction.


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