Geometry as a Course in Reasoning

1923 ◽  
Vol 16 (8) ◽  
pp. 493-499
Author(s):  
Henry P. McLaughlin
Keyword(s):  
Mathematical Logic ◽  
High Schools ◽  
Mathematics Teachers ◽  
Subject Matter ◽  
Ninth Grade ◽  
Junior High Schools ◽  
Present Position ◽  
Ancient Greek ◽  
Mathematical Proofs ◽  
The Subject

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.

Canons of the American Musical

2020 ◽  
pp. 473-492
Author(s):  
Raymond Knapp
Keyword(s):  
High Schools ◽  
Subject Matter ◽  
Junior High ◽  
Junior High Schools ◽  
Canon Formation ◽  
Social Narratives

As the American musical has come of age and matured with continuing vitality, it has developed not just one canon but many. Various performing canons are tailored to specific cultural settings, reflecting venue, expected audiences, available performers, or other factors. There exist separate canons for high schools interested in getting lots of bodies on stage, for community theaters on a budget with a stable of local stars vying for plum roles, for church groups or junior high schools more careful with subject matter, or for college groups looking for something far enough out there to satisfy their rebellious urges. And finally, there exist a critical canon and a teaching canon, for which musicals are chosen in part according to the larger historical and social narratives they support. This chapter is paired with Micaela Baranello’s “Viennese operetta canon formation and the journey to prestige.”

scholarly journals PENERAPAN LESSON STUDY UNTUK MENINGKATAN KEMAMPUAN MENGAJAR MAHASISWA CALON GURU FISIKA

2015 ◽  
Vol 20 (1) ◽  
pp. 27
Author(s):  
Rif’ati Dina Handayani ◽  
Agung Ryskiadi ◽  
Ali Machrus ◽  
Rifan Acik
Keyword(s):  
High Schools ◽  
Collaborative Learning ◽  
Lesson Study ◽  
Teaching Practice ◽  
Junior High Schools ◽  
Development Model ◽  
Physics Teacher ◽  
Teaching Ability ◽  
Study Implementation ◽  
The Subject

Lesson study is a development model for educators through sustainable and  collaborative learning. Lesson study was conducted in three phases, namely the plan, do, see phase, in which these phases were implemented in a structured, cyclical and continuous manner. In this study, the subject of lesson study implementation were four Physics pre- service conducted teaching practice in one of public junior high schools in Bondowoso. Results showed that lesson study implementation enhance these physics pre-service teachers teaching ability from poor to excellent.Keywords: Lesson Study, Pre-service Physics Teacher, Teaching AbilityABSTRAKLesson study merupakan suatu model pengembangan kemampuan mengajar melalui pengkajian pembelajaran secara kolaboratif dan berkelanjutan. Lesson study dilaksanakan dalam tiga tahapan, yaitu plan, do, see yang dilaksanakan secara terstruktur, bersiklus dan berkelanjutan. Dalam penelitian ini subjek dari pelaksanaan lesson study adalah empat orang  mahasiswa calon guru fisika yang sedang melaksanakan PPL di salah satu SMP Negeri di Bondowoso. Hasil penelitian menunjukkan bahwa penerapan lesson study dapat meningkatkan kemampuan mengajar mahasiswa calon guru fisika dari kriteria kurang baik menjadi kriteria sangat baik.Kata kunci: Calon guru fisika, Lesson Study, Kemampuan Mengajar

Lyuben Georgiev’s innovative ideas concerning Bulgarian language teaching Radomira Videva. Easy-to-read legal texts as a means of INCREASING the cognitive accessibility of legal language

Proglas ◽  
2021 ◽  
Vol 30 (2) ◽  
Author(s):  
Ivan Cholakov ◽  
Keyword(s):  
High Schools ◽  
Language Learning ◽  
Mother Tongue ◽  
Language Teaching ◽  
Junior High Schools ◽  
Legal Texts ◽  
New Ideas ◽  
The Subject ◽  
Cognitive Accessibility ◽  
Important Evidence

The present paper is focused on Lyuben Georgiev’s innovative ideas concerning Bulgarian language teaching. The author’s new ideas presented in his work The Mother Tongue in Our Junior High Schools and High Schools (a Language Teaching Endeavour) (1933) have not been the subject of scientific research so far. L. Georgiev’s set of didactic ideas is important evidence for the overcoming of the Herbartian model and the orientation of language teaching towards the formation of communicative competencies. Emphasizing the creative nature of pedagogical interaction, Lyuben Georgiev offers a comprehensive system of ideas – a system that is in line with modern trends in language learning.

What Should Comprise the Subject Matter of the Arithmetic in the Elementary Schools and in What Grades Should Formal Arithmetic be Taught?

1912 ◽  
Vol 4 (4) ◽  
pp. 162-172
Author(s):  
H. J. Wightman
Keyword(s):  
Elementary Schools ◽  
High Schools ◽  
Subject Matter ◽  
The Road ◽  
Long Time ◽  
The Subject ◽  
To Come

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.

A High School Teacher's View on the Training of Teachers of Secondary Mathematics

1936 ◽  
Vol 29 (3) ◽  
pp. 115-122
Author(s):  
Martha Hildebrandt
Keyword(s):  
High School ◽  
High Schools ◽  
Subject Matter ◽  
Secondary Mathematics ◽  
The Subject

One hears so much about changing the curriculum; about introducing into our high schools new courses, in some of which the subject matter is embarrassingly vague; about tests and measuremepts and laboratories to help the pupil adjust himself…. I hesitate, unable to choose a word for that to which the pupil must adjust himself and not at all certain just what the pupil has to adjust. One reads about differentiated courses and incidentally also about integrating courses. Is it not possible that each new fashion in education is just another attempt to improve the teaching in the schools of the respective states from which you and I come.

Analysis Is Not Enough

1934 ◽  
Vol 27 (5) ◽  
pp. 257-264
Author(s):  
Alma M. Fabricius
Keyword(s):  
High School ◽  
High Schools ◽  
Subject Matter ◽  
Educational Theory ◽  
The Subject ◽  
Compulsory Subject

Ever since the explosion of the theory that the faculty of thinking could be developed and strengthened by exercise in thinking regardless of the nature of the subject matter involved, geometry as a universally required subject in the high schools of America has been on the defensive. And, when we consider the large number of failures in the subject, in the light of the educational theory that a child learns only through the encouragement of success, it becomes seriously doubtful whether geometry should be retained as a compulsory subject in the high school.

scholarly journals Pengaruh Motivasi Kerja Guru dan Keaktifan dalam MGMP terhadap Kreativitas Guru Ekonomi di SMA Se-Kota Malang

2019 ◽  
Vol 3 (1) ◽  
pp. 21
Author(s):  
Lailatul Rofiah
Keyword(s):  
High Schools ◽  
Subject Matter ◽  
Creative Thinking ◽  
Work Motivation ◽  
Creative Potential ◽  
Teacher Creativity ◽  
Teacher Work ◽  
The Subject ◽  
The City ◽  
High Work

The main actor in education is a teacher. the task of the teacher is not only to enter the class, convey the subject matter, give assignments, then finish, but the teacher has the task of how the students who have diverse characteristics can be active and have creative thinking. Before transmitting their creativity to students, the teacher as an educator must know the creative potential that must be possessed. Teacher creativity can arise if the teacher is active in activities / training conducted at school or outside the school such as active activities in the MGMP, active in MGMP can arise if the teacher has high work motivation. The purpose of this study was to determine (1) the effect of teacher's work motivation on the creativity of economic teachers in high schools throughout the city of Malang, (2) the effect of MGMP activeness on the creativity of economic teachers in high schools throughout Malang, (3) the influence of teacher's work motivation and activeness in MGMP, towards the creativity of economic teachers in high schools throughout Malang. The results of this study are teacher work motivation and activeness in MGMP together have a significant effect on the creativity of economic teachers in high schools throughout Malang City. Related to this research, it is suggested that: the teacher develops his abilities and skills to prepare, implement and evaluate learning that is more creative and innovative again by following trainings carried out at school and outside the school.

The Rutherford Memorial Lecture, 1962 Atomic physics and the strength of metals

1963 ◽  
Vol 275 (1361) ◽  
pp. 149-160 ◽  
Keyword(s):  
Crystal Structures ◽  
Atomic Physics ◽  
Subject Matter ◽  
Present Status ◽  
Practical Importance ◽  
Memorial Lecture ◽  
Present Position ◽  
The Subject

In the previous Rutherford lecture Sir Lawrence Bragg (1961) gave an account of the history and present position of crystallography. Crystallography consists of the study of the regular ways in which atoms or molecules are arranged in solids, and crystallographers now investigate substances of ever-growing complexity. At the same time, alongside crystallography, there has grown up a science which is related to it, namely, a study of the ways in which these regular arrangements can break down. If there are many thousands of crystal structures known in nature, you would guess that there must be tens of thousands of possible defects; this may be so, but in fact the study of defects is confined at the present time to those which are observed in the simpler crystal structures, in metals, oxides and so on, and so we are far from knowing the full complexity that may exist. Actually, however, there is one form of defect which has a certain simplicity and very great theoretical and practical importance, namely, the dislocation. It is the history and present status of this concept that form the subject matter of this lecture.

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