Editorial comment: As we read

1969 ◽  
Vol 16 (2) ◽  
pp. 82-83
Keyword(s):  
Editorial Comment ◽  
Rational Number ◽  
Number System ◽  
Rational Numbers ◽  
The Other ◽  
Grade Levels ◽  
Common Fractions ◽  
The Subject ◽  
Percentage Ratio

To many, child and teacher alike, rational numbers are not very rational. They resist our intuitive powers. Computation with these mystic numbers borders on the occult. Too often the computational skills needed are developed with an intricate system of memory and tidy little tricks. Il is not difficult to understand why fractional notation is of relatively recent vintage. Applications of the rational numbers are equally mystifying and constitute a formidable problem for teachers at all grade levels. Not infreq uently students remember with distaste their introduction to the applications of these numbers. Even teachers shy away from the subject. Do you have difficulty teaching common fractions, percentage, ratio, and the other assorted topics associated with the rational-number system? This issue of The Arithmetic Teacher will be of particu lar value to you.

EXPRESS: People’s Preferences for Different Types of Rational Numbers in Linguistic Contexts

2022 ◽  
pp. 174702182210763
Author(s):  
Xiaoming Yang ◽  
Yunqi Wang
Keyword(s):  
Rational Number ◽  
General Pattern ◽  
Rational Numbers ◽  
The Other ◽  
Multiple Factors ◽  
Corpus Studies ◽  
Different Types ◽  
The One ◽  
General Linguistic ◽  
Preference Experiment

Rational numbers, like fractions, decimals, and percentages, differ in the concepts they prefer to express and the entities they prefer to describe as previously reported in display-rational number notation matching tasks and in math word problem compiling contexts. On the one hand, fractions and percentages are preferentially used to express a relation between two magnitudes, while decimals are preferentially used to represent a magnitude. On the other hand, fractions and decimals tend to be used to describe discrete and continuous entities, respectively. However, it remains unclear whether these reported distinctions can extend to more general linguistic contexts. It also remains unclear which factor, the concept to be expressed (magnitudes vs. relations between magnitudes) or the entity to be described (countable vs. continuous), is more predictive of people’s preferences for rational number notations. To explore these issues, two corpus studies and a number notation preference experiment were administered. The news and conversation corpus studies detected the general pattern of conceptual distinctions across rational number notations as observed in previous studies; the number notation preference experiment found that the concept to be expressed was more predictive of people’s preferences for number notations than the entity to be described. These findings indicate that people’s biased uses of rational numbers are constrained by multiple factors, especially by the type of concepts to be expressed, and more importantly, these biases are not specific to mathematical settings but are generalizable to broader linguistic contexts.

Research, Reflection, Practice: Introducing Percents in Linear Measurement to Foster an Understanding of Rational-Number Operations

2003 ◽  
Vol 9 (6) ◽  
pp. 335-339 ◽  
Author(s):  
Joan Moss
Keyword(s):  
Rational Number ◽  
Traditional Instruction ◽  
Number System ◽  
Rational Numbers ◽  
Linear Measurement ◽  
Common Denominator ◽  
Computational Fluency ◽  
Decimal Numbers ◽  
Young Students

How do we foster computational fluency with rational numbers when this topic is known to pose so many conceptual challenges for young students? How can we help students understand the operations of rational numbers when their grasp of the quantities involved in the rational-number system is often very limited? Traditional instruction in rational numbers focuses on rules and memorization. Teachers often give students instructions such as, “To add fractions, first find a common denominator, then add only the numerators” or “To add and subtract decimal numbers, line up the decimals, then do your calculations.”

Why Learning Common Fractions Is Uncommonly Difficult: Unique Challenges Faced by Students With Mathematical Disabilities

2016 ◽  
Vol 50 (6) ◽  
pp. 651-654 ◽  
Author(s):  
Daniel B. Berch
Keyword(s):  
Learning Disability ◽  
Rational Number ◽  
Rational Numbers ◽  
Significant Delay ◽  
Comprehensive Understanding ◽  
Mathematical Learning ◽  
Formal Instruction ◽  
Different Types ◽  
Common Fractions ◽  
Decimal Fractions

In this commentary, I examine some of the distinctive, foundational difficulties in learning fractions and other types of rational numbers encountered by students with a mathematical learning disability and how these differ from the struggles experienced by students classified as low achieving in math. I discuss evidence indicating that students with math disabilities exhibit a significant delay or deficit in the numerical transcoding of decimal fractions, and I further maintain that they may face unique challenges in developing the ability to effectively translate between different types of fractions and other rational number notational formats—what I call conceptual transcoding. I also argue that characterizing this level of comprehensive understanding of rational numbers as rational number sense is irrational, as it misrepresents this flexible and adaptive collection of skills as a biologically based percept rather than a convergence of higher-order competencies that require intensive, formal instruction.

scholarly journals Application of Mathematics in Computer Science

2021 ◽  
pp. 339-344
Author(s):  
Dr. Dhiraj Yadav
Keyword(s):  
Artificial Intelligence ◽  
Computer Science ◽  
Number System ◽  
The Other ◽  
Discrete Mathematics ◽  
Binary Number ◽  
Analytical Skills ◽  
New Concepts ◽  
The Subject ◽  
The Universe

No one escape the learning of mathematics in one way or other, ranging from our kitchen to our journey from earth to Moon or Mars. Mathematics persists everywhere around us. It can be perceived in our garden or park from symmetry of leaves, flowers, fruits etc. and by so many examples of Geometry and symmetry can be seen in nature. God used mathematics in creation of the universe in one form or the other. Likewise, Mathematics is the queen of all sciences. Scientists and researchers can not perfectly accomplish their work without including mathematics. Mathematics is the foundation of Computer Science. If one is eager to learn any arena of Computer Science, first he/she has to imbibe a love of Mathematics that will be supportive for progressive learning of the said subject. Mathematics is friendly for analytical skills needed in Computer Science. Concepts of binary number system, Boolean algebra, Calculus, Discrete mathematics, linear algebra, number theory, and graph theory are the most applicable to the subject of computer science with the emergence of new concepts like machine learning, artificial intelligence, virtual reality and augmented reality.

Golgi Apparatus and Melanogenesis: Ultrastructural Study of a Human Cellular Blue Nevus (Melanocytoma)

1973 ◽  
Vol 31 ◽  
pp. 380-381
Author(s):  
S.R. Allegra
Keyword(s):  
Endoplasmic Reticulum ◽  
Golgi Apparatus ◽  
Ultrastructural Study ◽  
The Other ◽  
Blue Nevus ◽  
Normal Complement ◽  
Golgi Vesicles ◽  
Golgi System ◽  
The Subject ◽  
Cellular Blue Nevus

The respective roles of the ribo somes, endoplasmic reticulum, Golgi apparatus and perhaps nucleus in the synthesis and maturation of melanosomes is still the subject of some controversy. While the early melanosomes (premelanosomes) have been frequently demonstrated to originate as Golgi vesicles, it is undeniable that these structures can be formed in cells in which Golgi system is not found. This report was prompted by the findings in an essentially amelanotic human cellular blue nevus (melanocytoma) of two distinct lines of melanocytes one of which was devoid of any trace of Golgi apparatus while the other had normal complement of this organelle.

“Channeling” the powers of God’s Word

2010 ◽  
Vol 4 (2) ◽  
pp. 135-156 ◽  
Author(s):  
Dorothea E. Schulz
Keyword(s):  
The Other ◽  
Border Zone ◽  
Focus Attention ◽  
Spiritual Power ◽  
New Materials ◽  
God's Word ◽  
Audio Recordings ◽  
Heated Debate ◽  
The Subject ◽  
The One

Starting with the controversial esoteric employment of audio recordings by followers of the charismatic Muslim preacher Sharif Haidara in Mali, the article explores the dynamics emerging at the interface of different technologies and techniques employed by those engaging the realm of the Divine. I focus attention on the “border zone” between, on the one hand, techniques for appropriating scriptures based on long-standing religious conventions, and, on the other, audio recording technologies, whose adoption not yet established authoritative and standardized forms of practice, thereby generating insecurities and becoming the subject of heated debate. I argue that “recyclage” aptly describes the dynamics of this “border zone” because it captures the ways conventional techniques of accessing the Divine are reassessed and reemployed, by integrating new materials and rituals. Historically, appropriations of the Qur’an for esoteric purposes have been widespread in Muslim West Africa. These esoteric appropriations are at the basis of the considerable continuities, overlaps and crossovers, between scripture-related esoteric practices on one side, and the treatment by Sharif Haidara’s followers of audio taped sermons as vessels of his spiritual power, on the other.

The problem of woman’s emansipation in the feuilleton “Amazonia: a very inept story” by Mykola Chirsky

2020 ◽  
pp. 71-76
Author(s):  
Iryna Rusnak
Keyword(s):  
Scientific Understanding ◽  
The Other ◽  
Literary Studies ◽  
Ethical Guidelines ◽  
Compositional Structure ◽  
Urgent Task ◽  
The Subject ◽  
The One ◽  
Artistic Heritage

The author of the article analyses the problem of the female emancipation in the little-known feuilleton “Amazonia: A Very Inept Story” (1924) by Mykola Chirsky. The author determines the genre affiliation of the work and examines its compositional structure. Three parts are distinguished in the architectonics of associative feuilleton: associative conception; deployment of a “small” topic; conclusion. The author of the article clarifies the role of intertextual elements and the method of constantly switching the tone from serious to comic to reveal the thematic direction of the work. Mykola Chirsky’s interest in the problem of female emancipation is corresponded to the general mood of the era. The subject of ridicule in provocative feuilleton is the woman’s radical metamorphoses, since repulsive manifestations of emancipation becomes commonplace. At the same time, the writer shows respect for the woman, appreciates her femininity, internal and external beauty, personality. He associates the positive in women with the functions of a faithful wife, a caring mother, and a skilled housewife. In feuilleton, the writer does not bypass the problem of the modern man role in a family, but analyses the value and moral and ethical guidelines of his character. The husband’s bad habits receive a caricatured interpretation in the strange behaviour of relatives. On the one hand, the writer does not perceive the extremes brought by female emancipation, and on the other, he mercilessly criticises the male “virtues” of contemporaries far from the standard. The artistic heritage of Mykola Chirsky remains little studied. The urgent task of modern literary studies is the introduction of Mykola Chirsky’s unknown works into the scientific circulation and their thorough scientific understanding.

MUNDANE MIRACLES IN AWADH. ENCOUNTERS WITH THE REVEALED AND THE HIDDEN

2020 ◽  
pp. 130-140
Author(s):  
Maxim B. Demchenko ◽  
Keyword(s):  
The Other ◽  
Local People ◽  
Natural Phenomena ◽  
Mughal Empire ◽  
The Public ◽  
British Raj ◽  
The Subject ◽  
Other World ◽  
Better Than

The sphere of the unknown, supernatural and miraculous is one of the most popular subjects for everyday discussions in Ayodhya – the last of the provinces of the Mughal Empire, which entered the British Raj in 1859, and in the distant past – the space of many legendary and mythological events. Mostly they concern encounters with inhabitants of the “other world” – spirits, ghosts, jinns as well as miraculous healings following magic rituals or meetings with the so-called saints of different religions (Hindu sadhus, Sufi dervishes),with incomprehensible and frightening natural phenomena. According to the author’s observations ideas of the unknown in Avadh are codified and structured in Avadh better than in other parts of India. Local people can clearly define if they witness a bhut or a jinn and whether the disease is caused by some witchcraft or other reasons. Perhaps that is due to the presence in the holy town of a persistent tradition of katha, the public presentation of plots from the Ramayana epic in both the narrative and poetic as well as performative forms. But are the events and phenomena in question a miracle for the Avadhvasis, residents of Ayodhya and its environs, or are they so commonplace that they do not surprise or fascinate? That exactly is the subject of the essay, written on the basis of materials collected by the author in Ayodhya during the period of 2010 – 2019. The author would like to express his appreciation to Mr. Alok Sharma (Faizabad) for his advice and cooperation.

De-Finition

2019 ◽  
Vol 95 (2) ◽  
pp. 231-245
Author(s):  
Erik Ode
Keyword(s):  
Educational Research ◽  
The Other ◽  
Political Perspective ◽  
The World ◽  
The Subject ◽  
Scientific Terms

Abstract De-Finition. Poststructuralist Objections to the Limitation of the Other The metaphysic tradition always tried to structure the world by definitions and scientific terms. Since poststructuralist authors like Derrida, Foucault and Deleuze have claimed the ›death of the subject‹ educational research cannot ignore the critical objections to its own methods. Definitions and identifications may be a violation of the other’s right to stay different and undefined. This article tries to discuss the scientific limitations of the other in a pedagogical, ethical and political perspective.

Emmanuel Levinas: Um estudo sobre a ética da alteridade

2020 ◽  
Author(s):  
Abimael Francisco do Nascimento
Keyword(s):  
Emmanuel Levinas ◽  
Transcendental Philosophy ◽  
The Other ◽  
New Thought ◽  
Philosophical Criticism ◽  
The Face ◽  
The Subject ◽  
Theoretical Foundations ◽  
First Philosophy

The general objective of this study is to analyze the postulate of the ethics of otherness as the first philosophy, presented by Emmanuel Levinas. It is a proposal that runs through Levinas' thinking from his theoretical foundations, to his philosophical criticism. Levinas' thought presents itself as a new thought, as a critique of ontology and transcendental philosophy. For him, the concern with knowledge and with being made the other to be forgotten, placing the other in totality. Levinas proposes the ethics of otherness as sensitivity to the other. The subject says here I am, making myself responsible for the other in an infinite way, in a transcendence without return to myself, becoming hostage to the other, as an irrefutable responsibility. The idea of the infinite, present in the face of the other, points to a responsibility whoever more assumes himself, the more one is responsible, until the substitution by other.

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