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Journal articles on the topic 'Numbers, Rational – Study and teaching'

Author: Grafiati

Published: 4 June 2021

Last updated: 16 February 2022

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1

Sowder, Judith, and Carole B. Lacampagne. "Promising Research, Programs, and Projects: Teaching and Learning Quantities and Rational Numbers." Arithmetic Teacher 41, no. 7 (1994): 410. http://dx.doi.org/10.5951/at.41.7.0410.

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The Teaching and Learning of Quantities and Rational Numbers Working Group has a complex purpose. The goal is to investigate the changes in classroom teaching and the effects on students' learning of teachers' opportunities for in-depth study of the mathematics in grades 3 to 7.

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2

Omoruan, Bertha Ese, and Patrick Uzo Osadebe. "Models Connecting Points on Pupils’ Achievement in Rational Numbers." Journal of Educational and Social Research 10, no. 4 (2020): 1. http://dx.doi.org/10.36941/jesr-2020-0059.

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 The study investigated pupils’ achievement in rational numbers, using constructivist models and traditional approach of instruction as connecting points between pupils’ prior knowledge of whole numbers concept and the new concept. Pre-test post-test non-equivalent control group quasi-experimental research design was adopted. A research question guided the study and was answered using descriptive statistics; and a formulated corresponding null hypothesis was tested at 0.05 level of significance, using analysis of covariance (ANCOVA). A sample of 103 pupils was used for the study. A test

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Carpes, Patricia Pujol Goulart, and Eleni Bisognin. "Textbook: an Analysis in the Light of the Ontosemiotic Focus on Rational Numbers." Acta Scientiae 22, no. 5 (2020): 122–42. http://dx.doi.org/10.17648/acta.scientiae.5973.

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Background: Many teachers consider the textbook the primary guide for the curriculum materialisation. This work analyses the content of the rational numbers in a textbook used in the 7th-grade of elementary school. For this analysis, the theoretical and methodological tools of the Ontosemiotic Approach to Knowledge and Mathematical Instruction (OSA) are used. Objective: Our goal was to understand the level of didactic suitability of the instruction process in the textbook. Design and setting: Thus, we analysed a section of the textbook about rational numbers using the categories described by O

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Kanbekova, Rimma Valeevna, Elvira Albertovna Izhbulatova, and Liliya Khazinurovna Salimova. "Methods of Increasing Motivation and Quality of Potential Primary School Teachers’ Mathematical Education." Development of education, no. 4 (6) (December 18, 2019): 19–22. http://dx.doi.org/10.31483/r-53754.

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The article describes the implementation of project tasks in the study of rational and irrational numbers, presents the results of a questionnaire survey of students, potential primary school teachers, while studying the numerical line in a course on mathematics. The purpose of the article is to consider the effect of supplementing a material of a numerical line with original content on motivation when teaching mathematics to students of non-mathematical profiles. Methods. A questionnaire survey was conducted on the indifferent or negative attitude of students to the study of the rational and

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Naveen, Avula, and M. R. Sravani. "Study of drug utilization trends in respiratory tract infections in a tertiary care teaching hospital: a retrospective study." International Journal of Basic & Clinical Pharmacology 6, no. 11 (2017): 2583. http://dx.doi.org/10.18203/2319-2003.ijbcp20174635.

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Background: Drug utilization studies play crucial role in the health sector and ultimately it provides insight into the efficiency of drug use and results of such research can be used to help to set priorities for the rational use of medicines and allocation of health care budgets. Respiratory tract infections (RTIs) contributing to significant mortality and morbidity of populations especially in developing countries like India. Polypharmacy and irrational prescription are significant negative fallouts in treatment of RTIs. Keeping in view of this, our study was undertaken to analyze the drug

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Hunting, Robert P., Gary Davis, and Catherine A. Pearn. "Engaging Whole-Number Knowledge for Rational-Number Learning Using a Computer-Based Tool." Journal for Research in Mathematics Education 27, no. 3 (1996): 354–79. http://dx.doi.org/10.5951/jresematheduc.27.3.0354.

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We present data from a two-year teaching experiment involving 8- and 9-year-old children. The purpose of the teaching experiment was to investigate children's fraction learning and the role their whole-number knowledge might play in it. A major source for the children's experiences and experiments was an operator-like computer program called Copycat. In particular, we focus on the accomplishments of Elliot and Shannon as they solved fraction comparison problems. We identify and discuss three cognitive schemes that Elliot and Shannon used. These were an Equal Outputs scheme, limited in effectiv

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Das, Lakshman, Shubhaleena Debnath, and Prithul Bhattacharjee. "Evaluation of anti-diabetic prescriptions at Tripura medical college and Dr. BRAM teaching hospital: a cross- sectional study." International Journal of Research in Medical Sciences 6, no. 12 (2018): 3883. http://dx.doi.org/10.18203/2320-6012.ijrms20184683.

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Background: Diabetes mellitus (DM) is a chronic disease which requires lifelong treatment. The management of type 1 DM depends mainly on insulin, whereas the oral anti-diabetic drugs (OADs) are the first line treatment for type 2 DM. Rational use of the drugs in populations can be effectively studied by analysing the prescription pattern. As there are limited numbers of studies carried out on drug utilization in diabetic patients in North Eastern region of India, authors planned to carry out this study in a tertiary care set up of this region.Methods: A cross-sectional study was carried out in

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Lemonidis, Charalambos, and Ioanna Kaiafa. "The Effect of Using Storytelling Strategy on Students’ Performance in Fractions." Journal of Education and Learning 8, no. 2 (2019): 165. http://dx.doi.org/10.5539/jel.v8n2p165.

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Research findings in the field of Mathematics Education emphasize that storytelling is an effective instructional tool in the teaching of mathematics, as it provides a meaningful context that attracts students&rsquo; interest and makes learning a pleasant process. The use of stories and fairy tales in the teaching of mathematics motivates students to learn and provides students with an authentic context to understand mathematical concepts and procedures. It is a clear way to incorporate mathematics into other, broader cognitive domains and promotes mathematical discussion in the classroom.

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Dutta, Shakti B., Mirza A. Beg, Shalu Bawa, Amanjot Kaur, Subhash Vishal, and Nand Kishore Singh. "Study on drug usage pattern of anxiolytics in psychiatric department in a tertiary care teaching hospital at Dehradun, Uttarakhand, India." International Journal of Basic & Clinical Pharmacology 6, no. 7 (2017): 1661. http://dx.doi.org/10.18203/2319-2003.ijbcp20172726.

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Background: Psychopharmacology is a rapidly growing field, in which the number of patients is continuously increasing. Newly introduced drugs are projected as the better alternative to the traditional psychiatric medicines. The utilization and consequences on real life effectiveness and safety of antianxiety drugs in actual clinical practice need continuous monitoring. Aim of the present study was to analyze the pattern of various anxiolytic drugs prescribed to the patients in psychiatric department of a tertiary care teaching hospital.Methods: The present study was conducted by the department

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Lo, Jane Jane, and Tad Watanabe. "Developing Ratio and Proportion Schemes: A Story of a Fifth Grader." Journal for Research in Mathematics Education 28, no. 2 (1997): 216–36. http://dx.doi.org/10.5951/jresematheduc.28.2.0216.

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There is a growing theoretical consensus that the concepts of ratio and proportion do not develop in isolation. Rather, they are part of the individual's multiplicative conceptual field, which includes other concepts such as multiplication, division, and rational numbers. The current study attempted to clarify the beginning of this developmental process. One fifth-grade student, Bruce, was encouraged to schematize his trial-and-error-based method, which was effective in solving so-called missing-value tasks. This study describes several advancements Bruce made during the teaching experiment an

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Beg, Mirza A., Shakti B. Dutta, Shalu Bawa, Amanjot Kaur, Subhash Vishal, and Upendra Kumar. "Prescribing trends in respiratory tract infections in a tertiary care teaching hospital." International Journal of Research in Medical Sciences 5, no. 6 (2017): 2588. http://dx.doi.org/10.18203/2320-6012.ijrms20172452.

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Background: Respiratory tract infections are a major cause of morbidity and mortality in developing countries. Polypharmacy and irrational prescribing in respiratory diseases are common practice worldwide. Keeping in consideration this scenario, present study was undertaken to analyze the drug utilization pattern of respiratory tract infections.Methods: This drug utilization study was conducted by Pharmacology department at SGRRIM & HS to analyze drug utilization pattern of respiratory infections. A total of 585 prescriptions were collected from hospital and randomly evaluated for prescrib

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Sankdia, Rajanish Kumar, and Mehul Agrawal. "Prescribing trends of fixed dose combinations in a tertiary care teaching hospital of Bhopal district." International Journal of Basic & Clinical Pharmacology 8, no. 3 (2019): 507. http://dx.doi.org/10.18203/2319-2003.ijbcp20190656.

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Background: Medicines are an integral part of healthcare. More than one drug is frequently used for treatment of either single ailment or multiple co-morbid conditions. Sometimes, two or more drugs are combined in a fixed ratio into a single dosage form, which is termed as fixed dose combinations (FDCs).Methods: This prospective observational study was carried out in the patients admitted in various medical and surgical wards of Chirayu hospital associated with Chirayu medical college of Bhopal district for a period of 3 months. The prescribed FDCs were collected from the case sheet of the adm

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Pedersen, Pernille Ladegaard, and Mette Bjerre. "Two conceptions of fraction equivalence." Educational Studies in Mathematics 107, no. 1 (2021): 135–57. http://dx.doi.org/10.1007/s10649-021-10030-7.

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AbstractIn this study, we present a mathematical analysis distinguishing two conceptions of equivalence: proportional equivalence and unit equivalence. These two conceptions have distinct meanings in relation to equivalent fractions: one is grounded in proportionality, while the other is grounded in equal wholes. We argue that (a) the distinction of equivalence gives a unified framework of equal fractions that has not previously been described in the literature; (b) a conceptual understanding of both fraction equivalences is integral to understanding rational numbers; and (c) knowledge of both

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Beg, Mirza Atif, Shakti B. Dutta, Shalu Bawa, Amanjot Kaur, Subhash Vishal, and Upender Kumar. "Drug utilization pattern of analgesics as a teaching tool for rational therapy to MBBS students in a medical college at Dehradun, Uttarakhand, India." International Journal of Basic & Clinical Pharmacology 6, no. 4 (2017): 842. http://dx.doi.org/10.18203/2319-2003.ijbcp20171089.

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Background: As a need to introduce Clinical Pharmacology at the undergraduate level the drug utilization studies (DUS) offer useful methods for teaching and training in drug therapy. The indiscriminate use of medicines results in unwanted side effects, drug interactions. Thus keeping this view in mind, this drug utilization research was set to evaluate the prescribing pattern of analgesics to impart certain basic skills to MBBS students which will form an integral component of practicing rational therapeutics.Methods: The retrospective study was conducted by Pharmacology department in SGRRIM a

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Vyas, Noopur, and Savita Shahani. "Analysis of drug promotional literatures in a tertiary care hospital: a cross sectional study." International Journal of Basic & Clinical Pharmacology 8, no. 5 (2019): 1102. http://dx.doi.org/10.18203/2319-2003.ijbcp20191608.

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Background: Large numbers of new drugs are introduced into the market every day and pharmaceutical companies are in the business of development and selling of new drug. There are different modes of drug promotion which include visual aids, leave behind leaflets and audio visuals. Drug Promotional Literatures (DPL’s) claim to provide vital and accurate information regarding the drug. To ensure rational use of drugs a set of standards laid by the WHO for ethical drug promotion.Methods: A cross sectional observational study was performed in Department of Pharmacology at a tertiary care teaching h

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Basnet, Sangharshila, Keshab Raj Paudel, Ajit Kumar Sah, et al. "Prescribing pattern, polypharmacy and potentially inappropriate prescribing in hospitalized elderly patients: a retrospective study in a teaching hospital in Nepal." International Journal of Scientific Reports 2, no. 1 (2016): 7. http://dx.doi.org/10.18203/issn.2454-2156.intjscirep20160087.

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<p class="abstract"><strong>Background:</strong> Evaluate prescribing pattern, polypharmacy, and prescribing potentially inappropriate medicine (PIM) in elderly population to contribute in awareness towards rational use of drugs.</p><p class="abstract"><strong>Methods:</strong> A retrospective cross-sectional and observational study was done in hospitalized geriatric patients in Nepal. The World Health Organization (WHO) “core prescribing indicators” and Beers' 2012 updated criteria were used to assess prescribing pattern and inappropriate prescribing

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Shahid, Hassan, and Seema Daud. "Crimean-Congo haemorrhagic fever: knowledge and practices of doctors at a tertiary care hospital in Lahore." International Journal Of Community Medicine And Public Health 4, no. 11 (2017): 4049. http://dx.doi.org/10.18203/2394-6040.ijcmph20174815.

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Background: Crimean-Congo haemorrhagic fever (CCHF) is a potentially fatal yet preventable zoonotic haemorrhagic disease which has consumed the lives of many health care workers in different regions of Pakistan over the past few years. There is neither a specific therapy nor an effective vaccine for the disease, which makes prevention the most rational approach towards CCHF. Hence, our main objective in this study was to determine the knowledge and practices of doctors regarding Crimean-Congo haemorrhagic fever (CCHF) at a tertiary care teaching hospital in Lahore.Methods: Non-probability conv

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Gupta, Rohini, Apoorva Malhotra, and Pavan Malhotra. "Study of prescribing pattern of drugs used in the treatment of hypertension in a tertiary care teaching hospital in North India: an observational study." International Journal of Research in Medical Sciences 6, no. 7 (2018): 2380. http://dx.doi.org/10.18203/2320-6012.ijrms20182821.

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Background: Hypertension is one of the most common chronic diseases leading to high mortality and morbidity. In order to prevent complications and to improve the patient survival, the early and efficient management of essential hypertension is very much needed. In this context, the use of established anti-hypertensives assumes paramount importance. Objective was to study the prescribing pattern of anti-hypertensive drugs in a tertiary care teaching hospital in north India.Methods: It was a cross-sectional observational study involving 205 prescriptions for patients suffering from primary essen

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Jensen, Gail M., Terrence Nordstrom, Richard L. Segal, Christine McCallum, Cecilia Graham, and Bruce Greenfield. "Education Research in Physical Therapy: Visions of the Possible." Physical Therapy 96, no. 12 (2016): 1874–84. http://dx.doi.org/10.2522/ptj.20160159.

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AbstractEducation research has been labeled the “hardest science” of all, given the challenges of teaching and learning in an environment encompassing a mixture of social interactions, events, and problems coupled with a persistent belief that education depends more on common sense than on disciplined knowledge and skill. The American Educational Research Association specifies that education research—as a scientific field of study—examines teaching and learning processes that shape educational outcomes across settings and that a learning process takes place throughout a person's life. The comp

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Ergene, Özkan, Melek Masal, Ercan Masal, and Mithat Takunyacı. "Investigating prospective elementary mathematics teachers’ skills of relating origami to topics in mathematics curriculumİlköğretim matematik öğretmeni adaylarının origamiyi matematik öğretim programındaki konularla ilişkilendirme becerilerinin incelenmesi." Journal of Human Sciences 14, no. 4 (2017): 3780. http://dx.doi.org/10.14687/jhs.v14i4.4965.

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Origami, known as paper folding art, is used in mathematics education as a teaching tool. The fact that using origami in mathematics lessons makes teaching mathematical concepts easier and makes lessons enjoyable is taken into account, there is as need to improve prospective elementary mathematics teachers’ skills of using origami. In this context, in this study, prospective elementary mathematics teachers’ use of origami with elementary mathematics curriculum was investigated. In this qualitative study which is conducted in the light of non-positivist interpretive paradigm, research design wa

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Graça, Sofia Isabel, João Pedro Da Ponte, and António Guerreiro. "Quando As Frações Não São Apenas Partes de Um Todo…!When fractions are not just parts of a whole…" Educação Matemática Pesquisa : Revista do Programa de Estudos Pós-Graduados em Educação Matemática 23, no. 1 (2021): 683–712. http://dx.doi.org/10.23925/1983-3156.2021v23i1p683-712.

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ResumoEste estudo tem como objetivo analisar os conhecimentos de alunos do 5.º ano relativos aos significados das frações antes e após uma experiência de ensino que segue uma abordagem exploratória com ênfase na resolução de problemas. Os participantes são alunos de uma turma do referido ano. Para a recolha de dados foram usados dois testes, inicial e final, complementados com a realização de entrevistas semiestruturadas individuais. Os dados indicam que, antes da experiência de ensino, os alunos tinham um conhecimento muito limitado dos significados das frações, nomeadamente como medida e com

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Post, Thomas, Glenda Lappan, and Kathleen Cramer. "Research into Practice: Children's Strategies in Ordering Rational Numbers." Arithmetic Teacher 35, no. 2 (1987): 33–35. http://dx.doi.org/10.5951/at.35.2.0033.

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Our comments here are based on interviews from two teaching experiments with fourth and fifth-grade chil dren. The students were taught many aspects of fractions using a variety of manipulative materials including circular and rect angular piece. Cuisenaire rods number lines, and chips. Each student had his or her own materials. Each worked independently, in small groups, and as a whole cl ass, spending much time talking about and performing a wide vari ety of fraction- related tasks.

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Post, Thomas R., Ipke Wachsmuth, Richard Lesh, and Merlyn J. Behr. "Order and Equivalence of Rational Numbers: A Cognitive Analysis." Journal for Research in Mathematics Education 16, no. 1 (1985): 18–36. http://dx.doi.org/10.5951/jresematheduc.16.1.0018.

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Fourth-grade students' understanding of the order and equivalence of rational numbers was investigated in an 18-week teaching experiment. Data from observations of, and interviews with, two children were employed to identify patterns over time in the strategies used in performing tasks. Three related characteristics of thinking are hypothesized to be related to the successful performance of tasks on order and equivalence: (a) thought flexibility in coordinating between-mode translations, (b) thought flexibility for within-mode transformations, and (c) reasoning that becomes increasingly indepe

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Flores, Alfinio, Jeffrey Samson, and H. Bahadir Yanik. "Research, Reflection, Practice: Quotient and Measurement Interpretations of Rational Numbers." Teaching Children Mathematics 13, no. 1 (2006): 34–39. http://dx.doi.org/10.5951/tcm.13.1.0034.

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Teaching concepts relating to rational numbers is a challenging task for most teachers. National assessments show that many students in the United States have a poor understanding of rational numbers. For example, on the 1996 National Assessment of Education Progress only 50 percent of fourth graders could answer correctly how many fourths make a whole, only 45 percent could identify a diagram illustrating the equivalence of two fractions, only 21 percent could compare fractions, and only 10 percent could show how three figures can be partitioned (Arbaugh et al. 2004, Wearne and Kouba 2000).

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Chatterjee, Debjyoti, and Chatterjee S K. "A study on multi-rational numbers forming a multi-field." International Journal of Mathematics Trends and Technology 66, no. 5 (2020): 107–23. http://dx.doi.org/10.14445/22315373/ijmtt-v66i5p516.

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Kutluca, Tamer, Muhammet Döner, and Veysel Butakın. "Evaluation of the Usability of Concept Maps When Teaching the Subject of Rational Numbers." Adıyaman Üniversitesi Eğitim Bilimleri Dergisi 7, no. 1 (2017): 149–71. http://dx.doi.org/10.17984/adyuebd.325361.

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González, Antonio, and Alberto Arnal-Bailera. "Prospective Teachers’ Difficulties in Integrating Technology Into Problem Solving and Teaching on Rational Numbers." Acta Scientiae 23, no. 2 (2021): 162–92. http://dx.doi.org/10.17648/acta.scientiae.6237.

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Ni, Yujing, and Yong-Di Zhou. "Teaching and Learning Fraction and Rational Numbers: The Origins and Implications of Whole Number Bias." Educational Psychologist 40, no. 1 (2005): 27–52. http://dx.doi.org/10.1207/s15326985ep4001_3.

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Lee, Sam Hyung, Jee Sun Lee, and Dae Ho Kwon. "Study of the Concept of Justification in Teaching Rational Communication." Korean Language Education 164 (February 28, 2019): 1–25. http://dx.doi.org/10.29401/kle.164.1.

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Hill, Heather C. "The Nature and Predictors of Elementary Teachers' Mathematical Knowledge for Teaching." Journal for Research in Mathematics Education 41, no. 5 (2010): 513–45. http://dx.doi.org/10.5951/jresematheduc.41.5.0513.

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This article explores elementary school teachers' mathematical knowledge for teaching and the relationship between such knowledge and teacher characteristics. The Learning Mathematics for Teaching project administered a multiple-choice assessment covering topics in number and operation to a nationally representative sample of teachers (n = 625) and at the same time collected information on teacher and student characteristics. Performance did not vary according to mathematical topic (e.g., whole numbers or rational numbers), and items categorized as requiring specialized knowledge of mathematic

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Li, Yan, Guo Yu Zheng, and Xiao Yun Lei. "Study on the Rational Sampling Numbers of Soil Moisture Monitoring for Cotton." Advanced Materials Research 485 (February 2012): 97–100. http://dx.doi.org/10.4028/www.scientific.net/amr.485.97.

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In order to establish rational soil moisture monitoring system for under film drip irrigation. With samples taken with grid sampling method and random sampling method at the field of 148 Tuan of Div 8th (Shihezi area) in Xinjiang and the soil moisture data obtained along the different depth underground, which are then analyzed with typical statistic methods, the methods to determine the numbers and the distribution mode of sampling points are put forward and the relative errors of soil moisture contents gained with different sampling types and numbers are analyzed in the paper.

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Christou, Konstantinos P., Courtney Pollack, Jo Van Hoof, and Wim Van Dooren. "Natural number bias in arithmetic operations with missing numbers – A reaction time study." Journal of Numerical Cognition 6, no. 1 (2020): 22–49. http://dx.doi.org/10.5964/jnc.v6i1.228.

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When reasoning about numbers, students are susceptible to a natural number bias (NNB): When reasoning about non-natural numbers they use properties of natural numbers that do not apply. The present study examined the NNB when students are asked to evaluate the validity of algebraic equations involving multiplication and division, with an unknown, a given operand, and a given result; numbers were either small or large natural numbers, or decimal numbers (e.g., 3 × _ = 12, 6 × _ = 498, 6.1 × _ = 17.2). Equations varied on number congruency (unknown operands were either natural or rational number

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Putra, Zetra Hainul. "Didactic Transposition of Rational Numbers: a Case From a Textbook Analysis and Prospective Elementary Teachers’ Mathematical and Didactic Knowledge." Revija za elementarno izobraževanje 13, no. 4 (2020): 365–94. http://dx.doi.org/10.18690/rei.13.4.365-394.2020.

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This study aims to present a detailed analysis of didactic transposition of rational numbers from knowledge to be taught into taught knowledge occurring in a teacher education institution. The knowledge to be taught of rational numbers is analysed from the mathematics textbook used by prospective elementary teachers in a mathematics education course. The analysis focuses on mathematical praxeology, especially the type of task and technique. Then, the taught knowledge is investigated from 32 prospective elementary teachers’ collaborative work on two hypothetical teacher tasks (HTT) related to o

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Liu, Xiu Hong. "Study on College Mathematics Education and Teaching Strategies." Advanced Materials Research 403-408 (November 2011): 1648–51. http://dx.doi.org/10.4028/www.scientific.net/amr.403-408.1648.

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In order to improve the quality of college mathematic education, cultivating rational thinking of people, and improving the quality of nation, this paper make a comprehensive and systematic survey and analysis on college mathematic education. Results show that the team-constructer and quality of students in university have been changed, and it is not optimistic for mathematic learning of students. For the above problems, it is important and necessary to adjust the teaching content, improving teaching methods and means, promoting the cultural ideas and history of mathematics, and show humanisti

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Zayed, E. M. E., A. B. Shamardan, and T. A. Nofal. "On the Rational Recursive Sequence." International Journal of Mathematics and Mathematical Sciences 2008 (2008): 1–15. http://dx.doi.org/10.1155/2008/391265.

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We study the global stability, the periodic character, and the boundedness character of the positive solutions of the difference equation , , in the two cases: (i) ; (ii) , where the coefficients and, and the initial conditions are real numbers. We show that the positive equilibrium of this equation is a global attractor with a basin that depends on certain conditions posed on the coefficients of this equation.

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정영우 and Boo Yoon Kim. "A Study on Development of the Gifted Programs Applying Rational Numbers as Operators." SECONDARY EDUCATION RESEARCH 60, no. 2 (2012): 343–63. http://dx.doi.org/10.25152/ser.2012.60.2.343.

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MARQUES, DIEGO, and JOHANNES SCHLEISCHITZ. "ON A PROBLEM POSED BY MAHLER." Journal of the Australian Mathematical Society 100, no. 1 (2015): 86–107. http://dx.doi.org/10.1017/s1446788715000415.

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Maillet proved that the set of Liouville numbers is preserved under rational functions with rational coefficients. Based on this result, a problem posed by Mahler is to investigate whether there exist entire transcendental functions with this property or not. For large parametrized classes of Liouville numbers, we construct such functions and moreover we show that they can be constructed such that all their derivatives share this property. We use a completely different approach than in a recent paper, where functions with a different invariant subclass of Liouville numbers were constructed (th

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Din, Q. "Asymptotic Behavior of a Second-Order Fuzzy Rational Difference Equation." Journal of Discrete Mathematics 2015 (April 20, 2015): 1–7. http://dx.doi.org/10.1155/2015/524931.

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We study the qualitative behavior of the positive solutions of a second-order rational fuzzy difference equation with initial conditions being positive fuzzy numbers, and parameters are positive fuzzy numbers. More precisely, we investigate existence of positive solutions, boundedness and persistence, and stability analysis of a second-order fuzzy rational difference equation. Some numerical examples are given to verify our theoretical results.

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Ito, Kazuhiro, Tetsushi Ito, and Christian Liedtke. "Deformations of rational curves in positive characteristic." Journal für die reine und angewandte Mathematik (Crelles Journal) 2020, no. 769 (2020): 55–86. http://dx.doi.org/10.1515/crelle-2020-0003.

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AbstractWe study deformations of rational curves and their singularities in positive characteristic. We use this to prove that if a smooth and proper surface in positive characteristic p is dominated by a family of rational curves such that one member has all δ-invariants (resp. Jacobian numbers) strictly less than {\frac{1}{2}(p-1)} (resp. p), then the surface has negative Kodaira dimension. We also prove similar, but weaker results hold for higher-dimensional varieties. Moreover, we show by example that our result is in some sense optimal. On our way, we obtain a sufficient criterion in term

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Hanumaiah, Vedavathi, Shreenivas Revankar, and Abhishek C. P. "Study of knowledge, attitude, practice of rational use of medicines among interns at Mc Gann teaching district hospital, Shivamogga- a descriptive cross-sectional study." International Journal of Basic & Clinical Pharmacology 10, no. 5 (2021): 512. http://dx.doi.org/10.18203/2319-2003.ijbcp20211645.

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Background: Rational use of medicines requires that the patients receive medication appropriate to their clinical needs, in doses that meet their own individual requirements for an adequate period of lime, and at the lowest cost to them and to their community. Objective of the study were like descriptive cross- sectional study was conducted to determine and identify the level of knowledge, attitude and practice regarding rational use of medicines among the interns.Methods: A validated structured questionnaire containing 19 questions regarding rational use of medicines in knowledge, attitude an

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Solares-Hernández, Pedro A., Miguel A. García-March, and J. Alberto Conejero. "Divisibility Networks of the Rational Numbers in the Unit Interval." Symmetry 12, no. 11 (2020): 1879. http://dx.doi.org/10.3390/sym12111879.

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Divisibility networks of natural numbers present a scale-free distribution as many other process in real life due to human interventions. This was quite unexpected since it is hard to find patterns concerning anything related with prime numbers. However, it is by now unclear if this behavior can also be found in other networks of mathematical nature. Even more, it was yet unknown if such patterns are present in other divisibility networks. We study networks of rational numbers in the unit interval where the edges are defined via the divisibility relation. Since we are dealing with infinite set

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Altiparmak, Kemal, and Ece Özdoğan. "A study on the teaching of the concept of negative numbers." International Journal of Mathematical Education in Science and Technology 41, no. 1 (2010): 31–47. http://dx.doi.org/10.1080/00207390903189179.

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Lehmann, Brian, and Sho Tanimoto. "Geometric Manin’s conjecture and rational curves." Compositio Mathematica 155, no. 5 (2019): 833–62. http://dx.doi.org/10.1112/s0010437x19007103.

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Let$X$be a smooth projective Fano variety over the complex numbers. We study the moduli space of rational curves on$X$using the perspective of Manin’s conjecture. In particular, we bound the dimension and number of components of spaces of rational curves on$X$. We propose a geometric Manin’s conjecture predicting the growth rate of a counting function associated to the irreducible components of these moduli spaces.

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ASAKURA, MASANORI, NORIYUKI OTSUBO, and TOMOHIDE TERASOMA. "AN ALGEBRO-GEOMETRIC STUDY OF SPECIAL VALUES OF HYPERGEOMETRIC FUNCTIONS." Nagoya Mathematical Journal 236 (September 13, 2018): 47–62. http://dx.doi.org/10.1017/nmj.2018.36.

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For a certain class of hypergeometric functions $_{3}F_{2}$ with rational parameters, we give a sufficient condition for the special value at $1$ to be expressed in terms of logarithms of algebraic numbers. We give two proofs, both of which are algebro-geometric and related to higher regulators.

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Seethaler, Pamela M., Lynn S. Fuchs, Jon R. Star, and Joan Bryant. "The cognitive predictors of computational skill with whole versus rational numbers: An exploratory study." Learning and Individual Differences 21, no. 5 (2011): 536–42. http://dx.doi.org/10.1016/j.lindif.2011.05.002.

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Gagarina, M., and T. Goroshnikova. "Psychological Factors of Multiple Debt Repayment Strategies." Review of Business and Economics Studies 6, no. 3 (2018): 57–64. http://dx.doi.org/10.26794/2308-944x-2018-6-2-57-64.

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The article presents a review of the literature and the results of an empirical study of strategies for repayment of multiple debts in a laboratory experiment and their connection with the personality traits of the respondents (N = 348). The main strategies of debt repayment are identified - Rational, Semi-rational, Aversive, Distributive, Chaotic and Ignoring of small numbers. The smallest group in the empirical study is the group of respondents with Rational strategy. Respondents of all the groups, except Rational, were compared among themselves on personal characteristics. Respondents with

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Yu, Jian Hong. "Algorithm Analysis on Internal Automatic Calibration of Category Theory Based on Nonlinear Time Series Model." Applied Mechanics and Materials 644-650 (September 2014): 1830–34. http://dx.doi.org/10.4028/www.scientific.net/amm.644-650.1830.

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Category reflects the basic concept of nature and universal connection, and is the logical form of human rational thinking. In this paper, through the rich practical experience in the field of English teaching, on the basic of prototype category theory to study of English grammar teaching methods, the author attempts to explore the scientific and rational English grammar teaching concept and strategy.

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Song, Hao Ran. "Study on Application in the Teaching of Ship Maneuvering Simulator." Applied Mechanics and Materials 310 (February 2013): 580–83. http://dx.doi.org/10.4028/www.scientific.net/amm.310.580.

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Ship handling Simulator system was dominated by computer technology, combined with disciplines such as ship hydrodynamics, to emulate a variety of sea and sea conditions, various types of ships and its control system, achieve the purpose of simulation training. At present, the ship manoeuvring Simulator in navigational teaching and training not only from the international shipping industry is generally acceptable, but also highly valued by the International Maritime Organization. Therefore, growing on ship manoeuvring Simulator in navigational teaching research on the application and training

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M. B., Rekha, Hemamalini M. B., and Basavaraj Bhandare. "Study on assessment of awareness about concepts in undergraduate pharmacology curriculum among clinicians in a tertiary care teaching hospital." International Journal of Basic & Clinical Pharmacology 6, no. 3 (2017): 633. http://dx.doi.org/10.18203/2319-2003.ijbcp20170827.

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Background: Rational prescribing forms the corner stone of successful implementation of rational drug use. To boost the cause of rational use of Medicine, the P-drug concept was given in late nineties. The idea was to make Physicians familiar with few personal drugs chosen from National Essential drug list based on efficacy, safety, suitability and cost. The present study was conducted to assess the awareness of clinicians about basic pharmacological concepts.Methods: It is a cross sectional study with a study population of 100, conducted in RRMCH for a period of one month. It is a questionnai

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Bultheel, Adhemar, and Andreas Lasarow. "SCHUR–NEVANLINNA SEQUENCES OF RATIONAL FUNCTIONS." Proceedings of the Edinburgh Mathematical Society 50, no. 3 (2007): 571–96. http://dx.doi.org/10.1017/s0013091504001063.

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AbstractWe study certain sequences of rational functions with poles outside the unit circle. Such kinds of sequences are recursively constructed based on sequences of complex numbers with norm less than one. In fact, such sequences are closely related to the Schur–Nevanlinna algorithm for Schur functions on the one hand, and to orthogonal rational functions on the unit circle on the other. We shall see that rational functions belonging to a Schur–Nevanlinna sequence can be used to parametrize the set of all solutions of an interpolation problem of Nevanlinna–Pick type for Schur functions.

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