Irrational Quantities

1932 ◽  
Vol 25 (4) ◽  
pp. 212-214
Author(s):  
J. F. Phillipi

Having had in my classes in college algebra hundreds of students coming from a variety of preparatory schools, I have come to the conclusion that the subject of irrationals or radicals is a somewhat difficult subject and that any suggestion as to its presentation to students might be welcomed.

1921 ◽  
Vol 14 (7) ◽  
pp. 355-361
Author(s):  
Joseph B. Reynolds

The vector idea is so common in the study of science and the vector method so easy and effectual in application that students in preparatory schools should acquire an understanding of the subject. Its importance is emphasized when we recall that displacement, velocity, acceleration, force, electric cnrrent, stresses, strains and many other physical quantities can be correctly represented by vectors.


1908 ◽  
Vol 54 (225) ◽  
pp. 136-138
Author(s):  
W. C. Sullivan

Dr. Sullivan's work throws a new light upon alcoholism. It is marked by a breadth of view and a freedom from all intolerance which carry the reader through an intelligent and intelligible discussion of this difficult subject with never a wish to skip a page or to elude the issues so clearly set forth. The book is more particularly designed to elucidate the connection of alcoholism with industrial conditions, which hitherto have been inadequately recognised. We thus escape the dreary details which writers on this subject have repeated so uniformly, and at such intolerable length. We are brought to a consideration of a social problem by an array of facts which show how widely Dr. Sullivan has cast his net, and by an orderly process of argument which reveals his well-balanced mind. He introduces the subject with a brief historical sketch which indicates the beginnings of the modern industrial system and the change in the legal attitude towards intemperance, by the Licensing Law of 1551. His new view of the question leads him to remark on the enormous increase of alcoholism by the national policy in favour of free distillation in the end of the seventeenth century, and to indicate the effects of the development of the factory system in bringing about a rapid extension of industrial drinking.


1823 ◽  
Vol 113 ◽  
pp. 529-540

Since the date of my last communication on the subject of the deviation of the fixed stars from their computed or pre­dicted places, I have been induced to examine such interme­diate observations, as appeared likely to throw some light on this difficult subject. The observations that best deserve attention since the time of Bradley, are the few which were made by the French astronomers, in their Trigonometrical Operations, about the year 1793, and those of Greenwich, Armagh, Westbury and Palermo, some years later, as published in the Philosophical Transactions for the year 1806. As the computations and tables relating to this investigation are subjoined, it will only be requisite, briefly, to state the result. It appears to me, that these observations greatly add to the probability that some variation, either continued or periodical, takes place in the sidereal system, which, producing but very small deviations in a finite portion of time, has hitherto escaped notice.


1881 ◽  
Vol 31 (206-211) ◽  
pp. 360-379

The structure of striated muscular tissue has occupied the attention of many histologists, and various, often antagonistic, have been the views held from tim e to time since Schwann first investigated this difficult subject. I bring forw ard with much caution and hesitation any opinions of my own, nor should X venture thus far, did I not consider my views susceptible of direct proof, or disproof, not being matters of mere speculation, which may or may not be true, and which would tend, by their introduction to the literature of the subject, to make confusion worse confounded.


1853 ◽  
Vol 143 ◽  
pp. 347-356 ◽  

When I had the honour of laying before the Royal Society my former researches on the structure of the spinal chord, I intimated an intention of preparing another communication on the structure of the medulla oblongata and cerebellum; but as many important points in the minute anatomy of the chord still remained in obscurity, I thought it advisable to make them first the subject of special inquiry, as far as the new method I employed would enable me to proceed. Moreover, as all investiga­tions into the structure of any organ have, or ought to have, for their object a clearer and better knowledge of its functions, I have undertaken also to communicate in this paper whatever physiological deductions may appear to follow from my observa­tions. Having no particular theory to support, and being influenced in these inquiries by no other feeling than the simple desire to elicit truth, the greatest care has been taken to verify my facts, and caution has been exercised in drawing conclusions from them. It is a question of great interest and physiological importance, whether the roots of the spinal nerves belong exclusively to the spinal chord, or whether part of them ascend within either the white or the grey columns, and form the channels by which impressions are transmitted to and from the brain. On account of its interest and importance, I have employed much time and labour in endeavouring to arrive at some well-grounded and settled conclusion on this very difficult subject, having devoted to it alone many hours daily for nearly five months. So extremely intricate, however, is the internal structure of the chord; so numerous are the planes in which the nerve-roots enter the grey substance; and so various are the directions which they pursue within it, that notwithstanding the perfect transparency of my prepara­tions, and the sharp outline which their fibres retain, my efforts to determine the exact relation between these roots and the white and grey columns appeared for some time almost hopeless; but by varying my dissections according to the exigencies of each case of difficulty, I succeeded in arriving at several results which I believe will be considered important.


2021 ◽  
Vol 7 (1) ◽  
pp. 5-9
Author(s):  
Gyem Dorji ◽  
Kanokwan Wetasin ◽  
Kuenzang Chhezom ◽  
Nargis Sultana ◽  
Minjur Dorji

Introduction: Neuroanatomy is considered as difficult subject as it consists mostly of complicated microscopic structures. However, understanding of the subject structure is very important for nursing students to know its functions and dysfunctions for enhancing nursing practices. To date, teaching neuroanatomy relies heavily on illustrations and the most common way is by using PowerPoint slides, but teachers are often faced with dilemma on how to use illustrations effectively. Therefore, this study was conducted to assess the effectiveness of different ways of presenting neuroanatomy illustrations in PowerPoint slides on nursing students’ short[1]term learning memory. Methods: The quasi-experimental study was conducted at Faculty of Nursing and Public Health, Khesar Gyalpo University of Medical Sciences of Bhutan between June 2020 and November 2020 by comparing an Experimental (n= 70) and a Control group (n= 69) of first year nursing students for their ability to answer questions based on those seven-way slides. Independent sample t-test was used for statistical analysis. Results: Significant difference was found at 95% CI between the performance of the Experimental and Control groups regarding Way 1 (Sequencing of labels) and Way 6 (Magnifying from the original structure) of presentation (tWay 1(135.99) = 2.695, p= .008, d = .458, 95% CI = [0.059, .385]; tWay 6(135.61) = 2.351, p= .020, d = .399, 95% CI = .031, .355], respectively). Conclusions: The use of different ways like sequencing the labels and magnifying from the original structure of presenting illustration in PowerPoint slides are found to be helpful in increasing short[1]term memory in students.


2011 ◽  
Vol 50 (4I) ◽  
pp. 295-303
Author(s):  
Jomo Kwame Sundaram

These immortal lines from Allama Iqbal make me very humble standing before you today to deliver the Allama Iqbal lecture. Mr Chairman, Mr President, Excellencies, ladies and gentlemen, friends all,. thank you very much for this honour and opportunity to speak to you on a very difficult subject. I would like to emphasise that, thanks to Professor Naqvi, this is not the first time I am appearing before the Pakistan Society of Development Economists, but it certainly is the first time, thanks to Dr Rashid Amjad, I have been invited to give this very distinguished lecture. Both men are very distinguished in their own right; they are people whom I have greatly respected over the years. Professor Naqvi's contributions, particularly on ethics and economics, and the challenge of rethinking Islam reminds me of Allama Iqbal's Reconstruction of Islamic Thought and the relevance of it for the challenges facing the world today, as highlighted by Professor Saith's lecture yesterday. The lines from Iqbal that I began with are very relevant, of course, to the whole question of inequality. I met Dr Rashid Amjad about three decades ago in the context of his work at the ILO. Over the decades, he provided sterling leadership in very different and changing circumstances. In a sense, it is his absence from the ILO today that is particularly felt because we face a very unique situation in the world today where, unfortunately, various forces seem to have successfully conspired to prevent a strong economic recovery. This is the subject of the lecture I would like to deliver.


2019 ◽  
pp. 113-129
Author(s):  
Edyta Kogut

The subject connected with the legal representation of a child by a parent in Poland and with the limitation of parental responsibility has become a significant issue in the area of family law. This field has long remained beyond the scope of both research and reflection. The article raises the issue of rights and obligations towards a child arising from being a parent. It also shows how the institution of limitation and deprivation of parental responsibility works. The aim of this paper is not only to analyze such a difficult subject, that is the imitation of parental authority, but the effects it has on a child as well. A comparative method and descriptive technique have been used in this study. 


2021 ◽  
Vol 6 (39) ◽  
pp. 150-165
Author(s):  
Habibah @ Artini Ramlie ◽  
Syamsul Azizul Marinsah ◽  
Saifulazry Mokhtar ◽  
Mohd. Sohaimi Esa ◽  
Mohd Kamal Mohd Shah ◽  
...  

The Philosophy and Contemporary Issues (FIS) course was introduced for undergraduate level study in Higher Education Institutions (HEIs) starting from the September 2019 intake. An initiative of Dr. Maszlee Malik, the Minister of Education Malaysia during that period, the course is aimed at creating a generation of scholars capable of critical and rational thought, able to engage in analytical and systematic discourse, and guided by wisdom and prudence when faced with diverse contemporary ideology challenges. This course is compulsory for all HEI students including those in Universiti Malaysia Sabah (UMS). Philosophy in general is perceived as a difficult subject to comprehend. Since FIS is a new course, this study is relevant to examine students’ understanding of the subject matter as taught in UMS specifically those in the 2020/2021 intake. Utilising a quantitative approach, the aspect of student understanding in FIS was analysed in a descriptive manner based on online questionnaire instruments. Findings showed UMS undergraduates had a relatively high and encouraging level of understanding in FIS. This proves that the notion of courses related to philosophy being difficult and uninteresting was not wholly accurate. The FIS course could be fine-tuned to ensure it is able to continue its role as a medium for the inculcation of new thought culture among undergraduates.


2021 ◽  
Vol 2 (2) ◽  
Author(s):  
Gregory A. Downing ◽  

The purpose of this pre/post-intervention quantitative experimental study was to investigate the effects of a sequence of lessons grounded in the principles of culturally relevant pedagogy on students enrolled in a college algebra course at an HBCU. In particular, the paper focuses on the interaction between these lessons and academic achievement (students' ability to learn, process, and affinity towards the subject they are learning about) with regards to students' grades and their views about mathematics. Two classes of students, an experimental group and a control group, engaged in mathematics lessons that were grounded in rigorous mathematical teaching practices; but the experimental course received lessons that also incorporated principles of culturally relevant pedagogy. Results indicated that students in the experimental course showed significant quantitative gains on the various measures related to academic achievement and self-efficacy in mathematics.


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