scholarly journals A Definite Explanation of the Concept of Limit in Teaching

2020 ◽  
Author(s):  
Sunmi Miyane
Keyword(s):  
Mathematical Analysis ◽  
Practical Problem ◽  
Reasonable Explanation ◽  
Limit Value ◽  
Limit Problems ◽  
Almost All

The limit idea is the basic idea of calculus. Almost all concepts in mathematical analysis are inseparable from the limit, but the limit is a concept that is difficult to understand accurately. By assuming that there is a certain point closest to the limit value, this paper provides a reasonable explanation for the infinitesimal paradox and a new answer to the question why the limit value is accurate in teaching. At the same time, this method is applied to the derivative and used to understand a common practical problem in mathematics. The analysis shows that this method is effective for the accurate understanding of limit problems.

scholarly journals Ecological sanitation a new approach to protect public health and environment in rural areas of Morocco

2021 ◽  
Vol 319 ◽  
pp. 01065
Author(s):  
Aziz Taouraout ◽  
Abdelkader Chahlaoui ◽  
Khadija Ouarrak ◽  
Hicham Aaziz ◽  
Driss Belghyti
Keyword(s):  
Constructed Wetland ◽  
Rural Areas ◽  
Domestic Wastewater ◽  
Organic Pollution ◽  
Pilot Scale ◽  
Ecological Sanitation ◽  
Limit Value ◽  
Soil Layering ◽  
Almost All

Wastewater and human excreta are threatening the quality of groundwater and watercourses in rural areas of Morocco. The new sanitation approach that has advantage to solve the problems of pathogens of human waste at source and offering the possibility of reusing them after treatment is called Ecological Sanitation (EcoSan) could be an alternative solution to the conventional one. It is in this perspective that our study made an investigation on economic, ecological, sustainable sanitation techniques adapted to the Moroccan context. Indeed, a survey was carried out at Dayet Ifrah village to assess the population appreciation of the EcoSan structures installed. Survey results showed that these structures have been generally accepted by almost all users and non-users (95%). On the other hand, a pilot-scale system composed by two types of filters (vertical constructed wetland and vertical Multi-Soil-Layering) have been installed in order to treat domestic wastewater coming from a single household and their performance was evaluated. The filters showed good performance to remove organic pollution (> 84.5%) and orthophosphate (> 68%). The reduction of ammonium were 84.5% and 35.3% for vertical Multi-Soil-Layering and vertical constructed wetland, respectively. The quality of the wastewater treated was evaluated in accordance with the standard of the rejection limit value adopted by Morocco.

Problems of Translation and Meaning in Field Work

1959 ◽  
Vol 18 (4) ◽  
pp. 184-192 ◽  
Author(s):  
Herbert Phillips
Keyword(s):  
Practical Problem ◽  
Field Work ◽  
Field Method ◽  
Anthropological Research ◽  
Almost All ◽  
Problems Of Translation

This paper is concerned with a problem inherent in almost all anthropological research: translating the informants' language into one's own. We will focus on translation as a practical problem in field method rather than on the theory of translation.

scholarly journals DESIGN OF LEARNING MATERIALS ON LIMIT FUNCTION BASED MATHEMATICAL UNDERSTANDING

2018 ◽  
Vol 7 (1) ◽  
pp. 61
Author(s):  
Muchamad Subali Noto ◽  
Surya Amami Pramuditya ◽  
Yudrick Maulana Fiqri
Keyword(s):  
Student Learning ◽  
Design Research ◽  
Response Prediction ◽  
Analysis Data ◽  
Mathematical Understanding ◽  
Limit Function ◽  
Learning Materials ◽  
Ability Test ◽  
Limit Value ◽  
Limit Problems

In learning process, students are currently cannot be separated from learning difficulties, including the study material algebra limit function. It because the level of students' mathematical understanding regarding the material is still quite low. This study aimed to analyze the barriers to student learning, designing learning materials based on the material mathematics understanding algebra limit function is valid, determine teacher intervention during the implementation of learning materials and to analyze barriers to student learning after the implementation of learning materials. This research is a qualitative research study design using the form Didactical Design Research. Stages of research conducted: 1) analysis of the situation didactic before learning, 2) analysis of metapedadidatik and 3) the retrospective analysis. Data collection techniques used were tests, interviews, questionnaires, and documentation. The instrument used was a matter TKPM (Comprehension Mathematical Ability Test), interview, validation sheet materials, and documentation guidelines. Research results obtained are students experiencing obstacle to learning the material limit algebra functions. These obstacles are 1) students' difficulties in relating the material prerequisites to limit problems. 2) students can not write properly limit symbol, 3) students can not apply a limit theorem, 4) students are not able to determine the limit value at one point, and 5) students cannot determine the value of the limit at infinity. Learning materials that have been made have validation level of  with very valid criteria. The response was given when the student intervention, generally in accordance with response prediction so that interventions carried out in accordance with the design that has been made. After learning materials student learning obstacles implemented reduced/minimized.

scholarly journals Using the supporting material during the examination

2011 ◽  
Vol 52 ◽  
Author(s):  
Ričardas Kudžma ◽  
Lina Jakubonienė
Keyword(s):  
Mathematical Analysis ◽  
Specific Information ◽  
Knowledge Level ◽  
Open Book ◽  
The Past ◽  
Bloom’S Taxonomy ◽  
Junior Author ◽  
Supporting Material ◽  
Vilnius University ◽  
Almost All

About twenty years ago all examinations at the Faculty of Mathematics of Vilnius University were oral. During the past years the situation has been changed radically – almost all examinations are writen. Written examinations can be open-book or closed-book. The older of autors of this article allows to prepare and to use during the mathematical analysis examinations the A4 sheet with specific information. The writen information can be from the knowledge level according to the Bloom’s taxonomy – definitions, formulations of theorems, formulae, but not solutions of problems, proofs of theorems. This sheet should be returned together with solutions of exams. The junior author investigated the preparation, usage and relation between the information in this A4 sheets with the results of exams in her Bachelor and Master theses.

scholarly journals Practical aspects of colour science in the educational process. Using a limited palette

2019 ◽  
pp. 188-192
Author(s):  
Y. Piskunov
Keyword(s):  
Practical Problem ◽  
Educational Process ◽  
Teaching Methodology ◽  
Wide Range ◽  
Wide Scale ◽  
The Difference ◽  
Almost All ◽  
Physical Features ◽  
The Given ◽  
Art School

The paper presents the practical aspects of colour science in the context of the interaction of colours and obtaining certain shades. As a practical teaching methodology, the use of a limited palette of three primary colours in several modifications has been offered. The given individual author's observations and conclusions formed in the process of teaching painting in the higher art school. The paper presents some of the author's observations and conclusions emerged in the process of teaching painting in a higher art school. A practical problem is the shallow knowledge of the physical features of colour, the standardization of the educational palette, the absence of an individual artist's palette. To avoid those problems, the students were asked to use a limited palette instead of the standard one. It is based on three primary colours in different versions. For each task, two options of a basic paints set were offered with the condition that other ready-mixed paints would not be used. The painting task prompted the creation of a wide scale of cold and warm colour tones. Relying on the colour theory, the students had to create their own palette of complementary colours (purple, orange, green), as well as their shades. In the course of work, it turned out that the very fact of the finished palette absence was the most difficult for the students. The first attempts to mix the main colours took a lot of time, but at this stage they began to be more attentive to the properties of paints, to notice the difference in shades, to vary the saturation of colour. Almost all the students have achieved the effect of a wide range of ochre and brown colours and have created a fairly wide palette. The resulting colours have turned out to be easy to reproduce and convenient to use. The results of the work prove that practical tasks with a limited palette use are informative and useful in teaching painting. An empirical research of the interaction of pigments will help students to learn and successfully embody their own painting intentions.

scholarly journals DESIGN OF LEARNING MATERIALS ON LIMIT FUNCTION BASED MATHEMATICAL UNDERSTANDING

2018 ◽  
Vol 7 (1) ◽  
pp. 61 ◽  
Author(s):  
Muchamad Subali Noto ◽  
Surya Amami Pramuditya ◽  
Yudrick Maulana Fiqri
Keyword(s):  
Student Learning ◽  
Design Research ◽  
Response Prediction ◽  
Analysis Data ◽  
Mathematical Understanding ◽  
Limit Function ◽  
Learning Materials ◽  
Ability Test ◽  
Limit Value ◽  
Limit Problems

In learning process, students are currently cannot be separated from learning difficulties, including the study material algebra limit function. It because the level of students' mathematical understanding regarding the material is still quite low. This study aimed to analyze the barriers to student learning, designing learning materials based on the material mathematics understanding algebra limit function is valid, determine teacher intervention during the implementation of learning materials and to analyze barriers to student learning after the implementation of learning materials. This research is a qualitative research study design using the form Didactical Design Research. Stages of research conducted: 1) analysis of the situation didactic before learning, 2) analysis of metapedadidatik and 3) the retrospective analysis. Data collection techniques used were tests, interviews, questionnaires, and documentation. The instrument used was a matter TKPM (Comprehension Mathematical Ability Test), interview, validation sheet materials, and documentation guidelines. Research results obtained are students experiencing obstacle to learning the material limit algebra functions. These obstacles are 1) students' difficulties in relating the material prerequisites to limit problems. 2) students can not write properly limit symbol, 3) students can not apply a limit theorem, 4) students are not able to determine the limit value at one point, and 5) students cannot determine the value of the limit at infinity. Learning materials that have been made have validation level of  with very valid criteria. The response was given when the student intervention, generally in accordance with response prediction so that interventions carried out in accordance with the design that has been made. After learning materials student learning obstacles implemented reduced/minimized.

Density waves in disk galaxies

1967 ◽  
Vol 31 ◽  
pp. 313-317 ◽  
Author(s):  
C. C. Lin ◽  
F. H. Shu
Keyword(s):  
Mathematical Analysis ◽  
Spiral Structure ◽  
Stellar System ◽  
Collective Modes ◽  
Disk Galaxies ◽  
Spiral Pattern ◽  
Density Waves ◽  
The Galaxy ◽  
Detailed Mathematical Analysis

Density waves in the nature of those proposed by B. Lindblad are described by detailed mathematical analysis of collective modes in a disk-like stellar system. The treatment is centered around a hypothesis of quasi-stationary spiral structure. We examine (a) the mechanism for the maintenance of this spiral pattern, and (b) its consequences on the observable features of the galaxy.

Habitat Association of Klebsiella Species

1985 ◽  
Vol 6 (2) ◽  
pp. 52-58 ◽  
Author(s):  
Susan T. Bagley
Keyword(s):  
Drinking Water ◽  
Gastrointestinal Tract ◽  
Surface Waters ◽  
Industrial Effluents ◽  
Opportunistic Pathogen ◽  
Habitat Associations ◽  
Habitat Association ◽  
Klebsiella Species ◽  
Almost All ◽  
Polluted Waters

AbstractThe genus Klebsiella is seemingly ubiquitous in terms of its habitat associations. Klebsiella is a common opportunistic pathogen for humans and other animals, as well as being resident or transient flora (particularly in the gastrointestinal tract). Other habitats include sewage, drinking water, soils, surface waters, industrial effluents, and vegetation. Until recently, almost all these Klebsiella have been identified as one species, ie, K. pneumoniae. However, phenotypic and genotypic studies have shown that “K. pneumoniae” actually consists of at least four species, all with distinct characteristics and habitats. General habitat associations of Klebsiella species are as follows: K. pneumoniae—humans, animals, sewage, and polluted waters and soils; K. oxytoca—frequent association with most habitats; K. terrigena— unpolluted surface waters and soils, drinking water, and vegetation; K. planticola—sewage, polluted surface waters, soils, and vegetation; and K. ozaenae/K. rhinoscleromatis—infrequently detected (primarily with humans).

SEM Cold Stage Techniques for the Observation of Vegetative and Floral Apices of Oat (Avena sativa L.) Plants

1977 ◽  
Vol 35 ◽  
pp. 590-591
Author(s):  
B. K. Kirchoff ◽  
L.F. Allard ◽  
W.C. Bigelow
Keyword(s):  
Critical Point ◽  
Avena Sativa ◽  
Substantial Improvement ◽  
Fresh Tissue ◽  
Cold Stage ◽  
Critical Point Drying ◽  
Almost All ◽  
Cell Collapse ◽  
Conductive Paint ◽  
Carbon Based

In attempting to use the SEM to investigate the transition from the vegetative to the floral state in oat (Avena sativa L.) it was discovered that the procedures of fixation and critical point drying (CPD), and fresh tissue examination of the specimens gave unsatisfactory results. In most cases, by using these techniques, cells of the tissue were collapsed or otherwise visibly distorted. Figure 1 shows the results of fixation with 4.5% formaldehyde-gluteraldehyde followed by CPD. Almost all cellular detail has been obscured by the resulting shrinkage distortions. The larger cracks seen on the left of the picture may be due to dissection damage, rather than CPD. The results of observation of fresh tissue are seen in Fig. 2. Although there is a substantial improvement over CPD, some cell collapse still occurs.Due to these difficulties, it was decided to experiment with cold stage techniques. The specimens to be observed were dissected out and attached to the sample stub using a carbon based conductive paint in acetone.

Electron microscopy studies of plasma-sprayed materials

1983 ◽  
Vol 41 ◽  
pp. 70-71
Author(s):  
K.R. Subramanian ◽  
A.H. King ◽  
H. Herman
Keyword(s):  
Plasma Spraying ◽  
Substrate Surface ◽  
Flame Temperature ◽  
Ceramic Coatings ◽  
Metallic Substrates ◽  
Hot Plasma ◽  
Almost All ◽  
Plasma Sprayed ◽  
Hostile Environments ◽  
Plasma Spraying Process

Plasma spraying is a technique which is used to apply coatings to metallic substrates for a variety of purposes, including hardfacing, corrosion resistance and thermal barrier applications. Almost all of the applications of this somewhat esoteric fabrication technique involve materials in hostile environments and the integrity of the coatings is of paramount importance: the effects of process variables on such properties as adhesive strength, cohesive strength and hardness of the substrate/coating system, however, are poorly understood.Briefly, the plasma spraying process involves forming a hot plasma jet with a maximum flame temperature of approximately 20,000K and a gas velocity of about 40m/s. Into this jet the coating material is injected, in powder form, so it is heated and projected at the substrate surface. Relatively thick metallic or ceramic coatings may be speedily built up using this technique.

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