Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 2829

# Search results for: mathematical concepts

##### 2829 Investigating Students' Understanding about Mathematical Concept through Concept Map

Authors: Rizky Oktaviana

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##### 2827 Importance of Mathematical Modeling in Teaching Mathematics

Authors: Selahattin Gultekin

Abstract:

Today, in engineering departments, mathematics courses such as calculus, linear algebra and differential equations are generally taught by mathematicians. Therefore, during mathematicians’ classroom teaching there are few or no applications of the concepts to real world problems at all. Most of the times, students do not know whether the concepts or rules taught in these courses will be used extensively in their majors or not. This situation holds true of for all engineering and science disciplines. The general trend toward these mathematic courses is not good. The real-life application of mathematics will be appreciated by students when mathematical modeling of real-world problems are tackled. So, students do not like abstract mathematics, rather they prefer a solid application of the concepts to our daily life problems. The author highly recommends that mathematical modeling is to be taught starting in high schools all over the world In this paper, some mathematical concepts such as limit, derivative, integral, Taylor Series, differential equations and mean-value-theorem are chosen and their applications with graphical representations to real problems are emphasized. Downloads 230
##### 2826 Presenting the Mathematical Model to Determine Retention in the Watersheds

Authors: S. Shamohammadi, L. Razavi

Abstract:

This paper based on the principle concepts of SCS-CN model, a new mathematical model for computation of retention potential (S) presented. In the mathematical model, not only precipitation-runoff concepts in SCS-CN model are precisely represented in a mathematical form, but also new concepts, called “maximum retention” and “total retention” is introduced, and concepts of potential retention capacity, maximum retention, and total retention have been separated from each other. In the proposed model, actual retention (F), maximum actual retention (Fmax), total retention (S), maximum retention (Smax), and potential retention (Sp), for the first time clearly defined, so that Sp is not variable, but a function of morphological characteristics of the watershed. Indeed, based on the mathematical relation of the conceptual curve of SCS-CN model, the proposed model provides a new method for the computation of actual retention in watershed and it simply determined runoff based on. In the corresponding relations, in addition to Precipitation (P), Initial retention (Ia), cumulative values of actual retention capacity (F), total retention (S), runoff (Q), antecedent moisture (M), potential retention (Sp), total retention (S), we introduced Fmax and Fmin referring to maximum and minimum actual retention, respectively. As well as, ksh is a coefficient which depends on morphological characteristics of the watershed. Advantages of the modified version versus the original model include a better precision, higher performance, easier calibration and speed computing.

Keywords: model, mathematical, retention, watershed, SCS

##### 2825 Pre-Grade R Numerosity Levels and Gaps: A Case of South African Learners in the Eastern Cape

Authors: Nellie Nosisi Feza

Abstract:

Developing young students' number sense is a priority if the aim is to build a rich mathematical foundation for successful schooling and future innovative careers. Capturing students’ interests is crucial while mediating counting concepts. This paper reports South African young children number concepts demonstrated before entering the reception class. It indicates the diverse knowledge attained in different settings before entering formal schooling. The findings indicate that their start is uneven with fully and partly attained number concepts. The findings suggest pre-schooling stimulation that provides rich mathematical experiences and purposeful play towards the attainment of core foundational concepts. Literature directs practice on important core concepts that are foundational in developing number sense. Downloads 22
##### 2824 Comparative Study of Computer Assisted Instruction and Conventional Method in Attaining and Retaining Mathematical Concepts

Authors: Nirupma Bhatti

Abstract:

This empirical study was aimed to compare the effectiveness of Computer Assisted Instruction (CAI) and Conventional Method (CM) in attaining and retaining mathematical concepts. Instructional and measuring tools were developed for five units of Matrix Algebra, two of Calculus and five of Numerical Analysis. Reliability and validity of these tools were also examined in pilot study. Ninety undergraduates participated in this study. Pre-test – post-test equivalent – groups research design was used. SPSS v.16 was used for data analysis. Findings supported CAI as better mode of instruction for attainment and retention of basic mathematical concepts. Administrators should motivate faculty members to develop Computer Assisted Instructional Material (CAIM) in mathematics for higher education.

Keywords: attainment, CAI, CAIM, conventional method, retention

##### 2823 Advances on the Understanding of Sequence Convergence Seen from the Perspective of Mathematical Working Spaces

Abstract:

We analyze a first-class on the convergence of real number sequences, named hereafter sequences, to foster exploration and discovery of concepts through graphical representations before engaging students in proving. The main goal was to differentiate between sequences and continuous functions-of-a-real-variable and better understand concepts at an initial stage. We applied the analytic frame of mathematical working spaces, which we expect to contribute to extending to sequences since, as far as we know, it has only developed for other objects, and which is relevant to analyze how mathematical work is built systematically by connecting the epistemological and cognitive perspectives, and involving the semiotic, instrumental, and discursive dimensions. Downloads 60
##### 2822 Axiomatic Systems as an Alternative to Teach Physics

Abstract:

In the last few years, students from higher education have difficulties in grasping mathematical concepts which support physical matters, especially those in the first years of this education. Classical Physics teaching turns to be complex when students are not able to make use of mathematical tools which lead to the conceptual structure of Physics. When derivation and integration rules are not used or developed in parallel with other disciplines, the physical meaning that we attempt to convey turns to be complicated. Due to this fact, it could be of great use to see the Classical Mechanics from an axiomatic approach, where the correspondence rules give physical meaning, if we expect students to understand concepts clearly and accurately. Using the Minkowski point of view adapted to a two-dimensional space and time where vectors, matrices, and straight lines (worked from an affine space) give mathematical and physical rigorosity even when it is more abstract. An interesting option would be to develop the disciplinary contents from an axiomatic version which embraces the Classical Mechanics as a particular case of Relativistic Mechanics. The observation about the increase in the difficulties stated by students in the first years of education allows this idea to grow as a possible option to improve performance and understanding of the concepts of this subject. Downloads 225
##### 2821 The Eye Tracking Technique and the Study of Some Abstract Mathematical Concepts at the University

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This article presents the results of mixed approach research, where the ocular movements of students are examined while they solve questionnaires related to some abstract mathematical concepts. The objective of this research is to determine possible correlations between the parameters of ocular activity and the level of difficulty of the tasks. The difficulty level categories were established based on two types of criteria: a subjective one, through an evaluation, carried out by the subjects, and a behavioral one, related to obtaining the correct solution. Correlations of these criteria with ocular activity parameters, which were considered indicators of mental effort, were identified. The analysis of the data obtained allowed us to observe discrepancies in the categorization of difficulty levels based on subjective and behavioral criteria. There was a negative correlation of the eye movement parameters with the students' opinions on the level of difficulty of the questions, while a strong positive and significant correlation was noted between most of the parameters of ocular activity and the level of difficulty, determined by the percentage of correct answers. The results obtained by the analysis of the data suggest that eye movement parameters can be taken as indicators of the difficulty level of the tasks related to the study of some abstract mathematical concepts at the university. Downloads 5
##### 2820 A Case Study on Blended Pedagogical Approach by Leveraging on Digital Marketing Concepts towards Inculcating Concepts of Sustainability in Management Education

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Teaching sustainability concepts along with profit maximizing philosophy of business in management education is a challenge. This paper explores and evaluates various learning models to inculcate sustainability concepts in management education. The paper explains about a new pedagogy that was tested in a business management school (Indus Business Academy, Bangalore, India) to teach sustainability. The pedagogy was designed by intertwining concepts related to sustainability with digital marketing concepts. As part of this experimental method, students (in groups) were assigned with various topics of sustainability and were asked to work with concepts of digital marketing and thus market the concepts of sustainability. The paper explains as a case study as to how sustainability was integrated with digital marketing tools and how learning towards sustainability was facilitated. It also explains the outcomes of this pedagogical method, in terms of inculcating sustainability concepts amongst management students as well as marketing and proliferation of sustainability concepts to bring about the behavioral changes amongst target audience towards sustainability. Downloads 142
##### 2819 Using Indigenous Games to Demystify Probability Theorem in Ghanaian Classrooms: Mathematical Analysis of Ampe

Authors: Peter Akayuure, Michael Johnson Nabie

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Similar to many colonized nations in the world, one indelible mark left by colonial masters after Ghana’s independence in 1957 has been the fact that many contexts used to teach statistics and probability concepts are often alien and do not resonate with the social domain of our indigenous Ghanaian child. This has seriously limited the understanding, discoveries, and applications of mathematics for national developments. With the recent curriculum demands of making the Ghanaian child mathematically literate, this qualitative study involved video recordings and mathematical analysis of play sessions of an indigenous girl game called Ampe with the aim to demystify the concepts in probability theorem, which is applied in mathematics related fields of study. The mathematical analysis shows that the game of Ampe, which is widely played by school girls in Ghana, is suitable for learning concepts of the probability theorems. It was also revealed that as a girl game, the use of Ampe provides good lessons to educators, textbook writers, and teachers to rethink about the selection of mathematics tasks and learning contexts that are sensitive to gender. As we undertake to transform teacher education and student learning, the use of indigenous games should be critically revisited. Downloads 122
##### 2818 Threshold Concepts in TESOL: A Thematic Analysis of Disciplinary Guiding Principles

Authors: Neil Morgan

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The notion of Threshold Concepts has offered a fertile new perspective on the transformative effects of mastery of particular concepts on student understanding of subject matter and their developing identities as inductees into disciplinary discourse communities. Only by successfully traversing key knowledge thresholds, it is claimed, can neophytes gain access to the more sophisticated understandings of subject matter possessed by mature members of a discipline. This paper uses thematic analysis of disciplinary guiding principles to identify nine candidate Threshold Concepts that appear to underpin effective TESOL practice. The relationship between these candidate TESOL Threshold Concepts, TESOL principles, and TESOL instructional techniques appears to be amenable to a schematic representation based on superordinate categories of TESOL practitioner concern and, as such, offers an alternative to the view of Threshold Concepts as a privileged subset of disciplinary core concepts. The paper concludes by exploring the potential of a Threshold Concepts framework to productively inform TESOL initial teacher education (ITE) and in-service education and training (INSET). Downloads 63
##### 2817 Heterogeneity of Thinking: Religious Beliefs and Logical Concepts

Authors: Alisa Rekunova

Abstract:

According to the theory of word meaning structure developed by Lev Vygotsky (and later modified by Aaro Toomela), there are several levels of thought: sensory-based concepts, situation concepts, logical concepts, and structural-systemic concepts. There are differences between people who have relatively easy access to logical thought compared to those who mostly tend to think in everyday concepts. Religious beliefs are connected with unprovable concepts (Christian Jesus’s ascension or Pagan energy) that cannot be non-controversially related to scientific concepts. However, many scientists in the research are believers of some kinds. Religious views can be different: there are believers, non-believers (atheists), and undecided (we can call them agnostics). Some of the respondents say that scientific or professional and religious spheres do not overlap. Therefore, we can assume they do not see any conflict. Some of them, on the contrary, hesitate to answer and we can conclude they see the conflicts, but they do not want (or do not believe they are able to) to solve it. Finally, the third category of respondents says that religious beliefs and scientific concepts cannot coexist in the human mind. It can be expected that the third category of respondents should have higher education (or even work in the scientific field) but many scientists in the research answer that religious and scientific spheres do not overlap. Therefore, there are other things besides the level of education that is connected with resolving conflicts. Downloads 59
##### 2816 Using a Quantitative Reasoning Framework to Help Students Understand Arc Measure Relationships

Authors: David Glassmeyer

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Quantitative reasoning is necessary to robustly understand mathematical concepts ranging from elementary to university levels. Quantitative reasoning involves identifying and representing quantities and the relationships between these quantities. Without reasoning quantitatively, students often resort to memorizing formulas and procedures, which have negative impacts when they encounter mathematical topics in the future. This study investigated how high school students’ quantitative reasoning could be fostered within a unit on arc measure and angle relationships. Arc measure, or the measure of a central angle that cuts off a portion of a circle’s circumference, is often confused with arclength. In this study, the researcher redesigned an activity to clearly distinguish arc measure and arc length by using a quantitative reasoning framework. Data were collected from high school students to determine if this approach impacted their understanding of these concepts. Initial data indicates the approach was successful in supporting students’ quantitative reasoning of these topics. Implications for the work are that teachers themselves may also benefit from considering mathematical definitions from a quantitative reasoning framework and can use this activity in their own classrooms. Downloads 162
##### 2815 Formalizing the Sense Relation of Hyponymy from Logical Point of View: A Study of Mathematical Linguistics in Farsi

Authors: Maryam Ramezankhani

Abstract:

The present research tries to study the possibility of formalizing the sense relation of hyponymy. It applied mathematical tools and also uses mathematical logic concepts especially those from propositional logic. In order to do so, firstly, it goes over the definitions of hyponymy presented in linguistic dictionaries and semantic textbooks. Then, it introduces a formal translation of the sense relation of hyponymy. Lastly, it examines the efficiency of the suggested formula by some examples of natural language. Downloads 133
##### 2814 Analysis of Secondary School Students' Perceptions about Information Technologies through a Word Association Test

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The aim of this study is to discover secondary school students’ perceptions related to information technologies and the connections between concepts in their cognitive structures. A word association test consisting of six concepts related to information technologies is used to collect data from 244 secondary school students. Concept maps that present students’ cognitive structures are drawn with the help of frequency data. Data are analyzed and interpreted according to the connections obtained as a result of the concept maps. It is determined students associate most with these concepts—computer, Internet, and communication of the given concepts, and associate least with these concepts—computer-assisted education and information technologies. These results show the concepts, Internet, communication, and computer, are an important part of students’ cognitive structures. In addition, students mostly answer computer, phone, game, Internet and Facebook as the key concepts. These answers show students regard information technologies as a means for entertainment and free time activity, not as a means for education. Downloads 313
##### 2813 Parental Involvement and Motivation as Predictors of Learning Outcomes in Yoruba Language Value Concepts among Senior Secondary School Students in Ibadan, Nigeria

Abstract:

This study investigated parental involvement and motivation as predictors of students’ learning outcomes in value concepts in Yoruba language in Ibadan, Nigeria. Value concepts in Yoruba language aimed at teaching moral lessons and transmitting Yoruba culture. However, feelers from schools and the society reported students’ poor achievement in examinations and negative attitude to the subject. Previous interventions focused on teaching strategies with little consideration for student-related factors. The study was anchored on psychosocial learning theory. The respondents were senior secondary II students with mean age of 15.50 ± 2.25 from 20 public schools in Ibadan, Oyo-State. In all, 1000 students were selected (486 males and 514 females) through proportionate to sample size technique. Instruments used were Students’ Motivation (r=0.79), Parental Involvement (r=0.87), and Attitude to Yoruba Value Concepts (r=0.94) scales and Yoruba Value Concepts Achievement Test (r=0.86). Data were analyzed using descriptive statistics, Pearson product moment correlation and Multiple regressions at 0.05 level of significance. Findings revealed a significant relationship between parental involvement (r=0.54) and students’ achievement in and attitude to (r=0.229) value concepts in Yoruba. The composite contribution of parental involvement and motivation to students’ achievement and attitude was significant, contributing 20.3% and 5.1% respectively. The relative contributions of parental involvement to students’ achievement (β = 0.073; t = 1.551) and attitude (β = 0.228; t = 7.313) to value concepts in Yoruba were significant. Parental involvement was the independent variable that strongly predicts students’ achievement in and attitude to Yoruba value concepts. Parents should inculcate indigenous knowledge in their children and support its learning at school. Downloads 107
##### 2812 Concepts of Creation and Destruction as Cognitive Instruments in World View Study

Authors: Perizat Balkhimbekova

Abstract:

Evolutionary changes in cognitive world view taking place in the last decades are followed by changes in perception of the key concepts which are related to the certain lingua-cultural sphere. Also, such concepts reflect the person’s attitude to essential processes in the sphere of concepts, e.g. the opposite operations like creation and destruction. These changes in people’s life and thinking are displayed in a language world view. In order to open the maintenance of mental structures and concepts we should use language means as observable results of people’s cognitive activity. Semantics of words, free phrases and idioms should be considered as an authoritative source of information concerning concepts. The regularized set of concepts in people consciousness forms the sphere of concepts. Cognitive linguistics widely discusses the sphere of concepts as its crucial category defining it as the field of knowledge which is made of concepts. It is considered that a sphere of concepts comprises the various types of association and forms conceptual fields. As a material for the given research, the data from Russian National Corpus and British National Corpus were used. In is necessary to point out that data provided by computational studies, are intrinsic and verifiable; so that we have used them in order to get the reliable results. The procedure of study was based on such techniques as extracting of the context containing concepts of creation|destruction from the Russian National Corpus (RNC), and British National Corpus (BNC); analyzing and interpreting of those context on the basis of cognitive approach; finding of correspondence between the given concepts in the Russian and English world view. The key problem of our study is to find the correspondence between the elements of world view represented by opposite concepts such as creation and destruction. Findings: The concept of "destruction" indicates a process which leads to full or partial destruction of an object. In other words, it is a loss of the object primary essence: structures, properties, distinctive signs and its initial integrity. The concept of "creation", on the contrary, comprises positive characteristics, represents the activity aimed at improvement of the certain object, at the creation of ideal models of the world. On the other hand, destruction is represented much more widely in RNC than creation (1254 cases of the first concept by comparison to 192 cases for the second one). Our hypothesis consists in the antinomy represented by the aforementioned concepts. Being opposite both in respect of semantics and pragmatics, and from the point of view of axiology, they are at the same time complementary and interrelated concepts.

Keywords: creation, destruction, concept, world view

##### 2811 The Neurofunctional Dissociation between Animal and Tool Concepts: A Network-Based Model

Authors: Skiker Kaoutar, Mounir Maouene

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Neuroimaging studies have shown that animal and tool concepts rely on distinct networks of brain areas. Animal concepts depend predominantly on temporal areas while tool concepts rely on fronto-temporo-parietal areas. However, the origin of this neurofunctional distinction for processing animal and tool concepts remains still unclear. Here, we address this question from a network perspective suggesting that the neural distinction between animals and tools might reflect the differences in their structural semantic networks. We build semantic networks for animal and tool concepts derived from McRae and colleagues’s behavioral study conducted on a large number of participants. These two networks are thus analyzed through a large number of graph theoretical measures for small-worldness: centrality, clustering coefficient, average shortest path length, as well as resistance to random and targeted attacks. The results indicate that both animal and tool networks have small-world properties. More importantly, the animal network is more vulnerable to targeted attacks compared to the tool network a result that correlates with brain lesions studies. Downloads 471
##### 2810 Rollet vs Rocket: A New in-Space Propulsion Concept

Authors: Arthur Baraov

Abstract:

Nearly all rocket and spacecraft propulsion concepts in existence today can be linked one way or the other to one of the two ancient warfare devices: the gun and the sling. Chemical, thermoelectric, ion, nuclear thermal and electromagnetic rocket engines – all fall into the first group which, for obvious reasons, can be categorized as “hot” space propulsion concepts. Space elevator, orbital tower, rolling satellite, orbital skyhook, tether propulsion and gravitational assist – are examples of the second category which lends itself for the title “cold” space propulsion concepts. The “hot” space propulsion concepts skyrocketed – literally and figuratively – from the naïve ideas of Jules Verne to the manned missions to the Moon. On the other hand, with the notable exception of gravitational assist, hardly any of the “cold” space propulsion concepts made any progress in terms of practical application. Why is that? This article aims to show that the right answer to this question has the potential comparable by its implications and practical consequences to that of transition from Jules Verne’s stillborn and impractical conceptions of space flight to cogent and highly fertile ideas of Konstantin Tsiolkovsky and Yuri Kondratyuk.

Keywords: propulsion, rocket, rollet, spacecraft

##### 2809 Toward an Understanding of the Neurofunctional Dissociation between Animal and Tool Concepts: A Graph Theoretical Analysis

Authors: Skiker Kaoutar, Mounir Maouene

Abstract:

Neuroimaging studies have shown that animal and tool concepts rely on distinct networks of brain areas. Animal concepts depend predominantly on temporal areas while tool concepts rely on fronto-temporo-parietal areas. However, the origin of this neurofunctional distinction for processing animal and tool concepts remains still unclear. Here, we address this question from a network perspective suggesting that the neural distinction between animals and tools might reflect the differences in their structural semantic networks. We build semantic networks for animal and tool concepts derived from Mc Rae and colleagues’s behavioral study conducted on a large number of participants. These two networks are thus analyzed through a large number of graph theoretical measures for small-worldness: centrality, clustering coefficient, average shortest path length, as well as resistance to random and targeted attacks. The results indicate that both animal and tool networks have small-world properties. More importantly, the animal network is more vulnerable to targeted attacks compared to the tool network a result that correlates with brain lesions studies. Downloads 457
##### 2808 The Effect of Unconscious Exposure to Religious Concepts on Mutual Stereotypes of Jews and Muslims in Israel

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This research examined the impact of subliminal exposure to religious content on the mutual attitudes of majority group members (Jews) and minority group members (Muslims). Participants were subliminally exposed to religious concepts (e.g., Mezuzah, yarmulke or veil) and then they filled questionnaires assessing their stereotypes towards the out-group members. Each participant was primed with either in-group religious concepts, out-group concepts or neutral ones. The findings show that the Muslim participants were not influenced by the religious content to which they were exposed while the Jewish participants perceived the Muslims as less 'hostile' when subliminally exposed to religious concepts, regardless of concept type (out-group/in-group). This research highlights the influence of evoked religious content on out-group attitudes even when the perceiver is unaware of prime content. The power that exposure to content in a non-native language has in activating attitudes towards the out-group is also discussed. Downloads 147
##### 2807 A Proposed Program for Developing Some Concepts to the Nursery Children in Egypt Using Artistic Activities

Authors: Ebtehag Tolba

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The study presents a proposed program for nursery school children in Egypt. The program consists of a collection of artistic activities and aims to develop the language, mathematical, and artistic skills of preschool children. Furthermore, the researcher has presented a questionnaire to experts about the link between the target group and the content. Finally, the proposed program was applied to group of 30 children. In addition, the researcher has prepared another questionnaire for measuring the effect of the program. This questionnaire was used as a pre-test and post-test, and at the end of the study, a significant difference was determined in favour of the post-test results.

Keywords: developing, concepts, nursery, children, artistic activities

##### 2806 Analysis of Cardiac Health Using Chaotic Theory

Authors: Chandra Mukherjee

Abstract:

The prevalent knowledge of the biological systems is based on the standard scientific perception of natural equilibrium, determination and predictability. Recently, a rethinking of concepts was presented and a new scientific perspective emerged that involves complexity theory with deterministic chaos theory, nonlinear dynamics and theory of fractals. The unpredictability of the chaotic processes probably would change our understanding of diseases and their management. The mathematical definition of chaos is defined by deterministic behavior with irregular patterns that obey mathematical equations which are critically dependent on initial conditions. The chaos theory is the branch of sciences with an interest in nonlinear dynamics, fractals, bifurcations, periodic oscillations and complexity. Recently, the biomedical interest for this scientific field made these mathematical concepts available to medical researchers and practitioners. Any biological network system is considered to have a nominal state, which is recognized as a homeostatic state. In reality, the different physiological systems are not under normal conditions in a stable state of homeostatic balance, but they are in a dynamically stable state with a chaotic behavior and complexity. Biological systems like heart rhythm and brain electrical activity are dynamical systems that can be classified as chaotic systems with sensitive dependence on initial conditions. In biological systems, the state of a disease is characterized by a loss of the complexity and chaotic behavior, and by the presence of pathological periodicity and regulatory behavior. The failure or the collapse of nonlinear dynamics is an indication of disease rather than a characteristic of health.

Keywords: HRV, HRVI, LF, HF, DII

##### 2805 Analysis of Multilayer Neural Network Modeling and Long Short-Term Memory

Authors: Danilo López, Nelson Vera, Luis Pedraza

Abstract:

This paper analyzes fundamental ideas and concepts related to neural networks, which provide the reader a theoretical explanation of Long Short-Term Memory (LSTM) networks operation classified as Deep Learning Systems, and to explicitly present the mathematical development of Backward Pass equations of the LSTM network model. This mathematical modeling associated with software development will provide the necessary tools to develop an intelligent system capable of predicting the behavior of licensed users in wireless cognitive radio networks. Downloads 314
##### 2804 Uncovering Geometrical Ideas in Weaving: An Ethnomathematical Approaches to School Pedagogy

Authors: Jaya Bishnu Pradhan

Abstract:

Weaving mat is one of the common activities performed in different community generally in the rural part of Nepal. Mat weavers’ practice mathematical ideas and concepts implicitly in order to perform their job. This study is intended to uncover the mathematical ideas embedded in mat weaving that can help teachers and students for the teaching and learning of school geometry. The ethnographic methodology was used to uncover and describe the beliefs, values, understanding, perceptions, and attitudes of the mat weavers towards mathematical ideas and concepts in the process of mat weaving. A total of 4 mat weavers, two mathematics teachers and 12 students from grade level 6-8, who are used to participate in weaving, were selected for the study. The whole process of the mat weaving was observed in a natural setting. The classroom observation and in-depth interview were taken with the participants with the help of interview guidelines and observation checklist. The data obtained from the field were categorized according to the themes regarding mathematical ideas embedded in the weaving activities, and its possibilities in teaching learning of school geometry. In this study, the mathematical activities in different sectors of their lives, their ways of understanding the natural phenomena, and their ethnomathematical knowledge were analyzed with the notions of pluralism. From the field data, it was found that the mat weaver exhibited sophisticated geometrical ideas in the process of construction of frame of mat. They used x-test method for confirming if the mat is rectangular. Mat also provides a good opportunity to understand the space geometry. A rectangular form of mat may be rolled up when it is not in use and can be converted to a cylindrical form, which usually can be used as larder so as to reserve food grains. From the observation of the situations, this cultural experience enables students to calculate volume, curved surface area and total surface area of the cylinder. The possibilities of incorporation of these cultural activities and its pedagogical use were observed in mathematics classroom. It is argued that it is possible to use mat weaving activities in the teaching and learning of school geometry. Downloads 72
##### 2803 Quality and Quality Assurance in Education: Examining the Possible Relationship

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The purpose of this paper is to examine the relationship between quality and quality assurance in education. It constitutes a critical review of the bibliography regarding quality and its delimitation in the field of education, as well as the quality assurance in education and the approaches identified for its extensive study. The two prevailing and opposite views on the correlation of the two concepts are that on the one hand there is an inherent distance between these concepts as they are two separate terms and on the other hand they are interrelated and interdependent concepts that contribute to the improvement of quality in education. Finally, the last part of the paper, adopting the second view, refers to the contribution of quality assurance to quality, where it is pointed out that the first concept leads to the improvement of the latter by quality assurance being the means of feedback for the quality achieved. Downloads 98
##### 2802 The ACRL Framework Successes and Challenges since 2016: A Survey

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The ACRL Framework for Information Literacy for Higher Education has replaced the Information Literacy Competency Standards for Higher Education since 2016. The new guidelines encountered resistance and criticism as too theoretical and unpractical for teaching and assessment. It has been four years since its official release. Have US librarians been teaching the threshold concepts with success? How do they teach the framework in one-shot sessions? The presenters conducted a survey in 2020 among US academic librarians to find answers. The survey revealed how college and university librarians throughout the US apply the framework in their information literacy (IL) instruction, what barriers they encounter in applying the framework, the lessons they have learned, and if they assess students’ learning outcomes with the framework. The findings indicated that other than course assignments, the framework is librarians’ most used document for their instruction. Other guiding standards are followed by librarians for instruction. Despite the time constraint of one-shot IL sessions, most surveyed librarians have adopted some Framework concepts in their instruction and have also managed to conduct an assessment of student learning outcomes. The framework concepts are not taught evenly. Some frame concepts are taught more often than others. Challenges still exist, and librarians can benefit from more training to better communicate the framework concepts to their constituents and to integrate the framework in their instruction. Librarians who newly graduated from library school and are only trained in the framework are more accepting and tend to teach framework concepts more readily than librarians who had been teaching the old ACRL standards. This study depicts the status quo on the implementation of the ACRL framework in the U. S. libraries since 2016. The presenters will discuss the recommended practice in teaching the ACRL framework based on the survey data. Downloads 66
##### 2801 Investigating the Dynamics of Knowledge Acquisition in Learning Using Differential Equations

Authors: Gilbert Makanda, Roelf Sypkens

Abstract:

A mathematical model for knowledge acquisition in teaching and learning is proposed. In this study we adopt the mathematical model that is normally used for disease modelling into teaching and learning. We derive mathematical conditions which facilitate knowledge acquisition. This study compares the effects of dropping out of the course at early stages with later stages of learning. The study also investigates effect of individual interaction and learning from other sources to facilitate learning. The study fits actual data to a general mathematical model using Matlab ODE45 and lsqnonlin to obtain a unique mathematical model that can be used to predict knowledge acquisition. The data used in this study was obtained from the tutorial test results for mathematics 2 students from the Central University of Technology, Free State, South Africa in the department of Mathematical and Physical Sciences. The study confirms already known results that increasing dropout rates and forgetting taught concepts reduce the population of knowledgeable students. Increasing teaching contacts and access to other learning materials facilitate knowledge acquisition. The effect of increasing dropout rates is more enhanced in the later stages of learning than earlier stages. The study opens up a new direction in further investigations in teaching and learning using differential equations. Downloads 275
##### 2800 Building a Lean Construction Body of Knowledge

Authors: Jyoti Singh, Ahmed Stifi, Sascha Gentes

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The process of construction significantly contributes to high level of risks, complexity and uncertainties leading to cost and time overrun, customer dissatisfaction etc. lean construction is important as it is a comprehensive system of tools and concepts focusing on moving closer to customer satisfaction by understanding the process, identifying the waste and eliminating it. The proposed work includes identification of knowledge areas from lean perspective, lean tools/concepts used in lean construction and establishing a relationship matrix between knowledge areas and lean tools/concepts, thus developing and building up a lean construction body of knowledge (LCBOK), i.e. a guide to lean construction, aiming to provide guidelines to manage individual projects and also helping construction industry to minimise waste and maximize value to the customer. In this study, we identified 8 knowledge areas and 62 lean tools/concepts from lean perspective and also one tool can help to manage two or more knowledge areas. Downloads 338