The mathematics of various entertaining subjects
Rosenhouse, Jason
Volume 1 : The history of mathematics is filled with major breakthroughs resulting from solutions to recreational problems. Problems of interest to gamblers led to the modern theory of probability, for example, and surreal numbers were inspired by the game of Go. Yet even with such groundbreaking findings and a wealth of popular-level books exploring puzzles and brainteasers, research in recreational mathematics has often been neglected. The Mathematics of Various Entertaining Subjects brings together authors from a variety of specialties to present fascinating problems and solutions in recreational mathematics. Contributors to the book show how sophisticated mathematics can help construct mazes that look like famous people, how the analysis of crossword puzzles has much in common with understanding epidemics, and how the theory of electrical circuits is useful in understanding the classic Towers of Hanoi puzzle. The card game SET is related to the theory of error-correcting codes, and simple tic-tac-toe tak...
What Software to Use in the Teaching of Mathematical Subjects?
Berežný, Štefan
2015-01-01
We can consider two basic views, when using mathematical software in the teaching of mathematical subjects. First: How to learn to use specific software for the specific tasks, e. g., software Statistica for the subjects of Applied statistics, probability and mathematical statistics, or financial mathematics. Second: How to learn to use the…
Mathematics teachers' knowledge of the subject content and ...
African Journals Online (AJOL)
This paper discusses the need of the mathematics teacher to be equipped adequately in the content areas in mathematics, vis-a-vis the recent concerns about the poor performance of students in the pre-tertiary schools, and the competence of mathematics teachers in the field. The low performance in mathematics at the ...
Mathematics Subject Classification: guia ràpida. Setembre 2010
Universitat de Barcelona. CRAI
2010-01-01
La Mathematics Subject Classification 2010 (MSC 2010) és una revisió de la Mathematics Subject Classification 2000 (MSC 2000), resultat de la col·laboració dels editors de MathSciNet i Zentralblatt MATH per actualitzar la classificació que comparteixen.
Pharmacy students' perceptions of natural science and mathematics subjects.
Prescott, Julie; Wilson, Sarah Ellen; Wan, Kai-Wai
2014-08-15
To determine the level of importance pharmacy students placed on science and mathematics subjects for pursuing a career in pharmacy. Two hundred fifty-four students completed a survey instrument developed to investigate students' perceptions of the relevance of science and mathematics subjects to a career in pharmacy. Pharmacy students in all 4 years of a master of pharmacy (MPharm) degree program were invited to complete the survey instrument. Students viewed chemistry-based and biology-based subjects as relevant to a pharmacy career, whereas mathematics subjects such as physics, logarithms, statistics, and algebra were not viewed important to a career in pharmacy. Students' experience in pharmacy and year of study influenced their perceptions of subjects relevant to a pharmacy career. Pharmacy educators need to consider how they can help students recognize the importance of scientific knowledge earlier in the pharmacy curriculum.
Lacan, Subjectivity and the Task of Mathematics Education Research
Brown, Tony
2008-01-01
This paper addresses the issue of subjectivity in the context of mathematics education research. It introduces the psychoanalyst and theorist Jacques Lacan whose work on subjectivity combined Freud's psychoanalytic theory with processes of signification as developed in the work of de Saussure and Peirce. The paper positions Lacan's subjectivity…
Thinking styles of Mathematics and Mathematical Literacy learners: Implications for subject choice
Directory of Open Access Journals (Sweden)
Erica D. Spangenberg
2012-10-01
Full Text Available In this article I report on research intended to characterise and compare the thinking styles of Grade 10 learners studying Mathematics and those studying Mathematical Literacy in eight schools in the Gauteng West district in South Africa, so as to develop guidelines as to what contributes to their subject choice of either Mathematics or Mathematical Literacy in Grade 10. Both a qualitative and a quantitative design were used with three data collection methods, namely document analysis, interviews and questionnaires. Sixteen teachers participated in one-to-one interviews and 1046 Grade 10 learners completed questionnaires. The findings indicated the characteristics of learners selecting Mathematics and those selecting Mathematical Literacy as a subject and identified differences between the thinking styles of these learners. Both learners and teachers should be more aware of thinking styles in order that the learners are able to make the right subject choice. This article adds to research on the transition of Mathematics learners in the General Education and Training band to Mathematics and Mathematical Literacy in the Further Education and Training band in South Africa.
Teachers mathematical communication profile in explaining subject matter
Umami, Rohmatul; Budayasa, I. Ketut; Suwarsono, St.
2017-12-01
This study aimed to see a teachers mathematical communication profile in explaining a subject matter. It is a qualitative research. A high-school junior teacher (i.e., a teacher with 1- to 5-year experience) teaching mathematics at X-Social Class was selected as the subject of this study. The data was collected by observing the teachers mathematical communication in explaining a given material (i.e., the rule of sine) in class and an in-depth interview would be organized respectively. The result showed that the junior teacher explained the subject matter in systematic, complete, fluent, and centered manner. In this case, she began with reminding students on the previous material related to the current material to be learned, informing the current learning objectives, and finally delivering the subject matter. To support her explanation, the teacher also provided some related information, led the students attention into the given material by asking them particular related questions, and did not use any confusing terms. However, the study found that some of high-school teachers still used less appropriate language in explaining materials.
Foveal avascular zone area in normal subjects
Directory of Open Access Journals (Sweden)
Chang Xu
2017-03-01
Full Text Available AIM: To measure the foveal avascular zone(FAZarea and to investigate the characteristics of the FAZ area in normal eyes, using optical coherence tomography(OCTangiography.METHODS: This was a cross-sectional study. The FAZ area was measured in 69 participants, for a total of 138 eyes, using RTVue-100 OCT. The relations between the FAZ area and the potential factors were evaluated by univariate and multivariate linear regression analysis. Differences between the right and left eyes were calculated, and values were compared by means of a paired t test. Pearson correlation analysis was performed to assess the relationships of the FAZ area between the right and left eyes. RESULTS: The mean FAZ area was 0.30±0.11mm2 in all subjects. For the male subjects, the mean FAZ area was 0.29±0.13mm2, and for the female subjects 0.31±0.09mm2, with no significant difference(t=-1.346,P=0.180. The FAZ area did not correlate with all the potential factors. The mean FAZ area in the right eye was 0.30±0.11mm2, and in the left eye was 0.30±0.10mm2,with no significant difference(P=0.943. There was a strong correlation between the right and left eyes for the FAZ area. CONCLUSION: OCT angiography is a noninvasive method of visualizing and measuring the FAZ area in normal subjects. The FAZ area does not correlate with old age, sex and other factors. It shows significant interocular symmetry in normal subjects.
Mathematical problem solving, modelling, applications, and links to other subjects
Blum, Werner; Niss, Mogens
1989-01-01
The paper will consist of three parts. In part I we shall present some background considerations which are necessary as a basis for what follows. We shall try to clarify some basic concepts and notions, and we shall collect the most important arguments (and related goals) in favour of problem solving, modelling and applications to other subjects in mathematics instruction. In the main part II we shall review the present state, recent trends, and prospective lines of developm...
Local Development of Subject Area Item Banks.
Ward, Annie W.; Barlow, Gene
1984-01-01
It is feasible for school districts to develop and use subject area tests as reliable as those previously available only from commercial publishers. Three projects in local item development in a large school district are described. The first involved only Algebra 1. The second involved life science and career education at the elementary level; and…
Subjective and Objective Assessment of Mathematics Anxiety Levels among College Students
Baloğlu, Mustafa
2018-01-01
The study investigated the relationship between college students’ subjective and objective assessment of mathematics anxiety levels. Students rated their general and current mathematics anxiety levels, mathematical ability levels, and confidence in doing mathematics. The Revised Mathematics Anxiety Rating Scale was used as an objective measure of their mathematics anxiety levels. Participants were 559 students, 406 (72.6%) women and 151 (27.0%) men. Results showed that perceived general mathe...
Acquisition in different and special subject areas
Katz, Linda S
2013-01-01
Learn how acquisitions librarians successfully serve specialized users! In this book, you'll find profiles, methods, and processes for acquisitions in specialized subject areas, such as local and regional poetry, oceanography, educational information in electronic formats, popular fiction, regional and ethnic materials, and more. Seasoned acquisitions librarians share their experiences in gathering the hard-to-find materials their libraries' highly specialized clients need to access. You'll also examine issues surrounding the acquisition of new reference tools that are vital in today's emergi
Re/Writing the Subject: A Contribution to Post-Structuralist Theory in Mathematics Education
Roth, Wolff-Michael
2012-01-01
This text, occasioned by a critical reading of "Mathematics Education and Subjectivity" (Brown, "2011") and constituting a response to the book, aims at contributing to the building of (post-structuralist) theory in mathematics education. Its purpose was to re/write two major positions that "Mathematics Education and Subjectivity" articulates:…
Should mathematics be a creative subject? How is this realized in practice in Denmark?
DEFF Research Database (Denmark)
Ejersbo, Lisser Rye
as a creative subject. How do they understand creativity and how do they realize it in practice? And what makes mathematics a creative subject? Is it the task, the way it is performed or the relationship between teacher and students? The crucial difference between different classrooms seems to be the ways......The ministerial objectives for mathematics education in the Danish Folkeskole (grades K-ten) state that students will learn that mathematics is both a tool for problem-solving and a creative subject. In this article, I explore how teachers in Denmark meet the challenge of teaching mathematics....... The discussion will focus on how to make mathematics a creative subject....
DEFF Research Database (Denmark)
Triantafyllou, Evangelia; Misfeldt, Morten; Timcenko, Olga
2016-01-01
This article explores student attitudes and preferences in learning and teaching of mathematics in engineering studies that transcend the division between technical, scientific and artistic disciplines. For observing such attitudes, we have developed a model that relates the attitude towards...... mathematics as a subject with the attitude towards mathematics learning and instruction. Data comes from a study at the Media technology educational program of Aalborg university. The study used attitude and preference questionnaires, and observations and interviews with students. The results show that media...... technology students are not confident in mathematics and consider mathematics to be a difficult subject. Nevertheless, they recognize the importance of mathematics both in their studies and in general. Moreover, students favour learning on their own or together with their peers over learning supported...
VIRTUAL ENVIRONMENT FOR THE SUBJECT TEACHING MATHEMATICS IN ELEMENTARY SCHOOL
Directory of Open Access Journals (Sweden)
Karla Elizabeth Barrera-del Castillo
2015-07-01
Full Text Available In this work is described the proposal of a model of semi-presence educational intervention for the subject, "Teaching of Mathematics in basic education", corresponding to the fourth semester of Special Education Bachelor's Degree, Plan 2004, of the Specializing Teaching School of the State of Sinaloa (ENEES, that attend the desirable characteristics of the graduates in the effective and efficient use of the technological tools, disciplinary competences, collaborative work and digital competences which are developed through the adaptation and the use of the model proposed. In this task, it is attended the digital literacy too, that the society of knowledge demands; firstly in function of the personal development needs, and then to respond to the actual educational context. The model of educational intervention defined in this task contributes to the interaction of teachers and students with technological background, collaborative work, groups of study, material and activities for each topic to develop. It was used the e-Collaborative Learning Sistema Integral Colaborativo para la Educación sin Barreras (SICEB implemented by the Secretary of Public Education and Culture (SEPyC, in which various types of learning objects are integrated among synchronized and unsynchronized activities. The proposed model is given through the defined criteria by the e-pedagogy which involves concepts such as quality, values and efficiency with support of the Learning Technologies and Knowledge (TAC.
Mathematics Subject Classification (MSC 2010): guia ràpida [text]. Curs 2017-18
Universitat de Barcelona. CRAI
2017-01-01
La Mathematics Subject Classification 2010 (MSC 2010) és una revisió de la Mathematics Subject Classification 2000 (MSC 2000), resultat de la col·laboració dels editors de MathSciNet i Zentralblatt MATH per actualitzar la classificació que comparteixen.
Blair, David E.
This paper, one of a series considering eight disciplines, describes historical developments and current thinking in mathematics concerning what ought to be included in the elementary school mathematics curriculum. The first part of this paper is devoted to a discussion of the previous involvement of mathematicians in curriculum reform projects.…
Akinwunmi, Kathrin; Höveler, Karina; Schnell, Susanne
2014-01-01
Erich Christian Wittmann is one of the primary founders of mathematics education research as an autonomous field of work and research in Germany. The interview presented here reflects on his role in promoting mathematics education as a design science. The interview addresses the following topics: (1) The importance of subject matter in…
Subject Design and Factors Affecting Achievement in Mathematics for Biomedical Science
Carnie, Steven; Morphett, Anthony
2017-01-01
Reports such as Bio2010 emphasize the importance of integrating mathematical modelling skills into undergraduate biology and life science programmes, to ensure students have the skills and knowledge needed for biological research in the twenty-first century. One way to do this is by developing a dedicated mathematics subject to teach modelling and…
Dulama, Maria Eliza; Magda?, Ioana
2014-01-01
In this paper, we analyze some aspects related to "Mathematics and Environmental Exploration" subject syllabus for preparatory grade approved by Minister of National Education of Romania. The analysis aim the place of the subject syllabus into the Framework Plan; the syllabus structure and the argumentation of studying this subject; the…
PARAMETRIC ROSE AS A SUBJECT OF MATHEMATICS, PROGRAMMING, AESTHETICS.
Directory of Open Access Journals (Sweden)
Yevgeny Gayev
2017-01-01
Full Text Available By using MATLAB we demonstrate a variety of parametric curves of the family "Parametric Rose" (Rhodonea, characterized by four factors. The article is intended to encourage students to study the parametric curves. The values of coefficients affect the shape of the curve and its period. Changes with time one of the curve parameters makes the effect of animation. Different versions of coloring the curve increase the aesthetic impact on results. A beautiful MATLAB-program with Graphical User Interface (GUI is suggested. It allows students to "play" with the curves on the computer screen and demonstrates amazing properties of the "Rose" parametric family depending on the values and the ratio of their coefficients. It may allow and teachers to inspire students by exploring these additional non-school materials. Students can see the beauty of mathematics and gain additional knowledge about parametric functions. From another side, the program provides an exercise example of algorithms and programming accessible for modern students. Animation of curves proposed can also serve as exercises both for mathematics and programming.
Reimplementing the Mathematical Subject Classification (MSC) as a Linked Open Dataset
Lange, Christoph; Dimou, Anastasia; Bratsas, Charalampos; Corneli, Joseph; Sperber, Wolfram; Kohlhase, Michael; Antoniou, Ioannis
2012-01-01
The Mathematics Subject Classification (MSC) is a widely used scheme for classifying documents in mathematics by subject. Its traditional, idiosyncratic conceptualization and representation makes the scheme hard to maintain and requires custom implementations of search, query and annotation support. This limits uptake e.g. in semantic web technologies in general and the creation and exploration of connections between mathematics and related domains (e.g. science) in particular. This paper presents the new official implementation of the MSC2010 as a Linked Open Dataset, building on SKOS (Simple Knowledge Organization System). We provide a brief overview of the dataset's structure, its available implementations, and first applications.
Pablo Ernesto Estrada Aguilera; Oscar L. Parrado Alvarez; José A Chío Rojas
2016-01-01
This paper presents a procedure to acquire and develop professional skills by the Agronomy technician, through Mathematics, according to the requirements of the Professional Pedagogical Process. A methodological approach for planning, preparation, and realization of the teaching process is used to help develop the skill measuring area, which is needed to master other professional skills. It is based on interaction between math contents and the contents of other subjects. Additionally, the res...
Musau, Lydia Mbaki; Migosi, Joash; Muola, James Matee
2013-01-01
There has been incessant low academic performance in Science, Mathematics and Technology (SMT) subjects especially among girls at form four level in Kitui Central District over the years. The aim of this study was to investigate the determinants of girls' performance in SMT subjects in public secondary schools. Using ex-post-facto survey research…
Stein, Sherman K
2010-01-01
Anyone can appreciate the beauty, depth, and vitality of mathematics with the help of this highly readable text, specially developed from a college course designed to appeal to students in a variety of fields. Readers with little mathematical background are exposed to a broad range of subjects chosen from number theory, topology, set theory, geometry, algebra, and analysis. Starting with a survey of questions on weight, the text discusses the primes, the fundamental theorem of arithmetic, rationals and irrationals, tiling, tiling and electricity, probability, infinite sets, and many other topi
The Effects of CLIL Education on the Subject Matter (Mathematics) and the Target Language (English)
Ouazizi, Khalid
2016-01-01
This paper investigates the effects of Content and Language Integrated Learning, CLIL for short, on both the attainment of the subject matter, mathematics in our case, hence the content aspect of CLIL. The second axes of research focuses on the effect of CLIL on the learners' proficiency vis-à-vis the language of instruction, epitomized here by…
Vierra, Vicki Ann
2011-01-01
This descriptive study compares the entry-level pedagogical content knowledge of single subject mathematics credential candidates based on career status and undergraduate majors. Career changers from science, technology, engineering or math (STEM) fields are compared to first career candidates to see if they bring different skills and knowledge to…
Does instruction of “Integers” subject with cartoons effect students’ mathematics anxiety?
National Research Council Canada - National Science Library
Şengül, Sare; Dereli, Mehtap
2010-01-01
... at www.sciencedirect.com WCES-2010 Does instruction of âIntegersâ subject with cartoons effect studentsâ mathematics anxiety? Sare ï¿½engÃ¼l a *, Mehtap Dereli b a AtatÃ¼rk...
Directory of Open Access Journals (Sweden)
Pablo Ernesto Estrada Aguilera
2016-04-01
Full Text Available This paper presents a procedure to acquire and develop professional skills by the Agronomy technician, through Mathematics, according to the requirements of the Professional Pedagogical Process. A methodological approach for planning, preparation, and realization of the teaching process is used to help develop the skill measuring area, which is needed to master other professional skills. It is based on interaction between math contents and the contents of other subjects. Additionally, the results from implementation at Alvaro Barba Machado Polytechnic School of Agronomy, in the city of Camaguey, and its contribution to professional skills, are explained.
TEACHERS PERSPECTIVE OF USING ENGLISH AS A MEDIUM OF INSTRUCTION IN MATHEMATICS AND SCIENCE SUBJECTS
Directory of Open Access Journals (Sweden)
Norudin Mansor
2011-07-01
Full Text Available The policy of changing the medium of instruction in the teaching of mathematics and science from Bahasa Melayu to English is an important innovation affecting teachers of mathematics and science. It poses special challenges not only for teachers who have been trained in the Malay medium but also for those trained in English. This investigation seeks to find out the achievement of students in mathematic and science subjects after considering the impact of prominent independent variables such as, the school, class and home environment, the teaching methodology and the teachers’ attitude. Analysis of the development in the state of Terengganu has been carried out by the distribution of questionnaires to teachers involved. Result of the correlation and multiple regressions indicated that all the three factors are significantly associated towards students’ achievement. However, the teaching methodology indicated a low level of moderate correlation which is believed to be the immediate issue that needed to be addressed in the new system.
Directory of Open Access Journals (Sweden)
Clériston Ribeiro Ramos
2014-08-01
Full Text Available In order to understand the changes in the area of teaching of Science and Mathematics, were raised by the documents from CAPES between the years 2000 and 2013 more discussions were aggregated from scientific societies on the subject. To support this study, relationships were drawn to the theory of Thomas Kuhn, for paradigms, scientific community, and other related. We make a timeline for the area, it was revealed that emerged from practices that have occurred since the 60s, while having its own area boundary only in 2000, when it moved from the area of Education and was restructured in 2011 to the area of teaching. It is believed that the area will consolidate, because with the increased quantity and quality of graduate programs, most committed researchers will contribute to the identity of the area of teaching of Science and Mathematic in Brazil.
O'Neal, Melissa Jean
Canonical correlation analysis was used to analyze data from Trends in International Mathematics and Science Study (TIMSS) 2011 achievement databases encompassing information from fourth/eighth grades. Student achievement in life science/biology was correlated with achievement in mathematics and other sciences across three analytical areas: mathematics and science student performance, achievement in cognitive domains, and achievement in content domains. Strong correlations between student achievement in life science/biology with achievement in mathematics and overall science occurred for both high- and low-performing education systems. Hence, partial emphases on the inter-subject connections did not always lead to a better student learning outcome in STEM education. In addition, student achievement in life science/biology was positively correlated with achievement in mathematics and science cognitive domains; these patterns held true for correlations of life science/biology with mathematics as well as other sciences. The importance of linking student learning experiences between and within STEM domains to support high performance on TIMSS assessments was indicated by correlations of moderate strength (57 TIMSS assessments was indicated by correlations of moderate strength (57 complexity upon firm foundations were prepared for successful learning throughout their educational careers. The results from this investigation promote a holistic design of school learning opportunities to improve student achievement in life science/biology and other science, technology, engineering, and mathematics (STEM) subjects at the elementary and middle school levels. While the curriculum can vary from combined STEM subjects to separated mathematics or science courses, both professional learning communities (PLC) for teachers and problem-based learning (PBL) for learners can be strengthened through new knowledge construction beyond the traditional boundaries of each subject. It is the
Applied mathematical problem solving, modelling, applications, and links to other subjects
Blum, Werner; Niss, Mogens
1991-01-01
The paper will consist of three parts. In part I we shall present some background considerations which are necessary as a basis for what follows. We shall try to clarify some basic concepts and notions, and we shall collect the most important arguments (and related goals) in favour of problem solving, modelling and applications to other subjects in mathematics instruction. In the main part II we shall review the present state, recent trends, and prospective lines of development, both...
Journal of applied mathematics
National Research Council Canada - National Science Library
2001-01-01
.... Subject areas include (but are not limited to) approximation theory, computing, control and systems, differential equations and dynamical systems, financial mathematics, fluid mechanics and solid mechanics, fractional calculus...
North, Marc
2017-01-01
Current practices in the South African secondary school subject Mathematical Literacy afford a limiting education experience for thousands of learners, the majority of whom are black and located in poor socio-economic environments: learners are confronted with pseudo-realistic contexts and engage only elementary mathematical contents. The…
Environmental Print Activities for Teaching Mathematics and Content Areas.
Rule, Audrey C., Ed.; McIntyre, Sandra, Ed.; Ranous, Meg, Ed.
Twenty-three mathematics activities that use environmental print materials are presented, along with two activities that focus on music education, one that highlights history concepts, and five science activities. The environmental print materials are words and images cut from food or other product packaging and mounted on mat board cards.…
Mathematics Phobia in Developing Areas: Implications for Technical ...
African Journals Online (AJOL)
The study investigated the problems of mathematics phobia among students and the impact on technical manpower development in Rivers State of Nigeria. Two sets of structured questionnaires were used to elicit appropriate responses from the respondents and simple proportion /percentage scores were employed for ...
Directory of Open Access Journals (Sweden)
Engin Karadağ
2014-12-01
Full Text Available Correlation between mathematics anxiety and attitude of children who are educated in rural areas were analyzed in this research. Research was premeditated as a correlational design because it was presumed that there was correlation between two main variables. The population of the study was consisted of secondary school students who were educated in a region called rural areas in the central district of Meram/Konya in the school year of 2012-2013. 726 students who were educated in five secondary schools comprised of research sample which was designated as stratified sampling method according to educational regions. Research data were collected by the Mathematics Anxiety Scale, and Mathematics Attitude Scale. Correlation and multiple regression analyses were used to examine data. Findings show that correlation between anxiety and attitude of secondary school students from rural area is in negative direction.Key Words: Rural education, mathematics attitude, mathematics anxiety
Drilling in areas subject to environmental protection; A perfuracao em area de protecao ambiental
Energy Technology Data Exchange (ETDEWEB)
Mendonca, Ricardo Teixeira; Guimaraes, Antimio Santos [PETROBRAS, XX (Brazil). Distrito de Perfuracao do Nordeste. Div. Tecnica; Santana, Manoel Messias de [PETROBRAS, XX (Brazil). Regiao de Producao do Nordeste. Setor de Seguranca Industrial
1989-12-31
This paper presents the practices developed for pollution control in areas subject to environmental protection. This well drilling operation was carried out in the Municipality of Marechal Deodoro, in the State of Alagoas, in locality named Massagueira. We stress the preventive methods for liquid and solid effluent generation and the use of Closed Fluid System or Anti-Dike System. (author) 3 figs.
Cell Phone Coverage Area: Helping Students Achieve in Mathematics
Zbiek, Rose Mary; Reed, Shari Ann; Boone, Tracy
2007-01-01
Cell phone coverage areas arouse students' curiosity in a lesson that engages students with area as a measure that relates to, but is different from, linear measure. Each distinct set of activities (stations) blends concepts and skills to align with and transcend state standards. In reflecting on the lesson planning and implementation, we…
Research Area 3: Mathematical Sciences: 3.4, Discrete Mathematics and Computer Science
2015-06-10
AND SUBTITLE 13. SUPPLEMENTARY NOTES 12. DISTRIBUTION AVAILIBILITY STATEMENT 6. AUTHORS 7. PERFORMING ORGANIZATION NAMES AND ADDRESSES 15. SUBJECT ...multiresolution analysis, minimum norm interpolation, quadrature formulas REPORT DOCUMENTATION PAGE 11. SPONSOR/MONITOR’S REPORT NUMBER(S) 10. SPONSOR...Suite 1204, Arlington VA, 22202-4302. Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to any
Moreau, Marie-Pierre; Mendick, Heather; Epstein, Debbie
2010-01-01
In this paper, based on a project funded by the UK Economic and Social Research Council considering how people position themselves in relation to popular representations of mathematics and mathematicians, we explore constructions of mathematicians in popular culture and the ways learners make meanings from these. Drawing on an analysis of popular…
Tosto, Maria G; Asbury, Kathryn; Mazzocco, Michèle M M; Petrill, Stephen A; Kovas, Yulia
2016-08-01
Drawing on Bandura's triadic reciprocal causation model, perceived classroom environment and three intrapersonal factors (mathematics self-efficacy, maths interest and academic self-concept) were considered as predictors of test performance in two correlated mathematics assessments: a public examination (GCSE) and an on-line test, both taken by UK pupils at age 16 (n = 6689). Intrapersonal factors were significantly associated with both test scores, even when the alternative score was taken into account. Classroom environment did not correlate with mathematics achievement once intrapersonal factors and alternative test performance were included in the model, but was associated with subject interest and academic self-concept. Perceptions of classroom environment may exercise an indirect influence on achievement by boosting interest and self-concept. In turn, these intrapersonal factors have direct relationships with achievement and were found to mediate the relationship between perceived classroom environment and maths performance. Findings and their implications for mathematics education are discussed.
Perez-Felkner, Lara; McDonald, Sarah-Kathryn; Schneider, Barbara; Grogan, Erin
2012-11-01
Although important strides toward gender parity have been made in several scientific fields, women remain underrepresented in the physical sciences, engineering, mathematics, and computer sciences (PEMCs). This study examines the effects of adolescents' subjective orientations, course taking, and academic performance on the likelihood of majoring in PEMC in college. Results indicate that racial-ethnic and gender underrepresentation in science, technology, engineering, and mathematics (STEM) fields are interrelated and should be examined with attention to the intersecting factors influencing female and racial-ethnic minority adolescents' pathways toward careers in these fields. Among those who major in PEMC fields, women closely resemble men with respect to their subjective orientations. The effects of subjective orientations on women's chances of majoring in PEMC vary by their secondary school mathematics course completion levels. Women who take more mathematics courses are more likely to major in PEMC; however, course taking alone does not attenuate gender disparities in declaring these majors. High mathematics ability (as measured by standardized test scores in the 10th grade) appears to be positively associated with women's selection of social, behavioral, clinical, and health science majors. This association is less robust (and slightly negative) for women in PEMC. While advanced course taking appears to assist women in selecting PEMC majors, women who enter these fields may not be as strong as those who select other, less male-dominated scientific fields.
Eringen, A Cemal
2013-01-01
Continuum Physics: Volume 1 - Mathematics is a collection of papers that discusses certain selected mathematical methods used in the study of continuum physics. Papers in this collection deal with developments in mathematics in continuum physics and its applications such as, group theory functional analysis, theory of invariants, and stochastic processes. Part I explains tensor analysis, including the geometry of subspaces and the geometry of Finsler. Part II discusses group theory, which also covers lattices, morphisms, and crystallographic groups. Part III reviews the theory of invariants th
INSTRUMENTAL CONCEPTUALIZATION SUBJECT AREA SOCIOLOGY: SOME POSSIBLE SOLUTIONS
Directory of Open Access Journals (Sweden)
E. V. Maslennikov
2016-01-01
Full Text Available The article outlines some of the possible ways of integrating the deployment tool conceptualizing domains of sociology on the basis of the machine sets of steps3. Substantiates the urgency of the problem of application of structural constructs of mathematics as a structure-formalism domain of sociology as a combination of theoretical knowledge. Formulated understanding of the sociological dimension in a broad sense of the concept of research as a measurement based on the use of instrumental in conceptualizing the methodology of sociological research. Under instrumental conceptualization refers to the construction of complex conceptual (conceptual schema structurally interconnected relationships between their individual elements, which are the units of the consideration related conceptual integrity, derived from interpretation of the properties “Set” construct. The paper proposes a definition based on the properties set in the scale set by the structure of N. Bourbaki4 relations systems in the data sets under the structural dimension of social phenomena to understand the interpretation of the investigated properties of social phenomena in terms of a construct that lies at the basis of the theoretical model that reflects the diversity of these qualities with the help of conceptual schemes that determine the quality of each as a structure of relations systems (ie, property in these qualities. In conclusion, the article lists presented in a number of publications, some preliminary results of the application of the methodology of conceptualizing instrumental in related disciplines from sociology. These works can perform suggestive role in the knowledge and understanding of methods of problem fields and objectives of the work on the conceptualization of theoretical sociology, using the mathematical theory of forms.
A mathematics-based new penalty area in football: tackling diving.
Morales, César A
2016-12-01
A novel penalty area (PA) for football (soccer) is proposed; it is based on considering mathematically the actual scoring possibility on the 2 dimensions near the goal. It is shown that the 150-year-old rectangular area is mathematically disproportionate; this can be causing too much diving or simulation by players around the goal and also too many matches that are decided unfairly. The goal or objective is to reduce these problems - and others - with a new PA based on the proposed scoring potential measure which is in turn based on the angle towards the goal line (between posts) and the distance to the centre of this line.
Perez-Felkner, Lara; McDonald, Sarah-Kathryn; Schneider, Barbara; Grogan, Erin
2012-01-01
Although important strides toward gender parity have been made in several scientific fields, women remain underrepresented in the physical sciences, engineering, mathematics, and computer sciences (PEMCs). This study examines the effects of adolescents' subjective orientations, course taking, and academic performance on the likelihood of majoring…
Directory of Open Access Journals (Sweden)
Willy Mwakapenda
2010-07-01
Full Text Available This paper presents findings from a pilot study that investigated the extent to which teachers make connections between mathematical concepts and concepts from other disciplines. Data from concept maps and interviews were collected. The analysis revealed that the kinds of connections teachers made are closely tied to teachers’ disciplines of specialisation. The findings suggest that for some teachers, though desirable, it may not be feasible to require them to make connections with disciplines that are not within their areas of specialisation. This presents tensions for learners learning mathematics in classrooms where opportunities for making connections between mathematics and other learning areas are available but are neither taken up nor appropriately used by teachers.
Everingham, Yvette L.; Gyuris, Emma; Connolly, Sean R.
2017-01-01
Contemporary science educators must equip their students with the knowledge and practical know-how to connect multiple disciplines like mathematics, computing and the natural sciences to gain a richer and deeper understanding of a scientific problem. However, many biology and earth science students are prejudiced against mathematics due to…
SUBJECT «NUMBER SYSTEMS» IN TWO-LEVELED FORMAT PREPARATION TEACHERS OF MATHEMATICS
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V. I. Igoshin
2017-01-01
Full Text Available The aim of this article is to analyze the format of a two-leveled training – bachelor and master – future teachers of mathematics from the point of view of the content of mathematical material, which is to develop prospective teachers of mathematics at those two levels, shaping their professional competence.Methods. The study involves the theoretical methods: the analysis of pedagogical and methodical literature, normative documents; historical, comparative and logical analysis of the content of pedagogical mathematical education; forecasting, planning and designing of two-leveled methodical system of training of future teachers of mathematics.Results and scientific novelty. The level differentiation of the higher education system requires developing the appropriate curricula for undergraduate and graduate programs. The fundamental principle must be the principle of continuity – the magister must continue to deepen and broaden knowledge and skills, along with competences acquired, developed and formed on the undergraduate level. From these positions, this paper examines the course «Number Systems» – the most important in terms of methodology course for future mathematics teachers, and shows what content should be filled with this course at the undergraduate level and the graduate level. At the undergraduate level it is proposed to study classical number systems – natural, integer, rational, real and complex. Further extensions of the number systems are studied at the graduate level. The theory of numeric systems is presented as a theory of algebraic systems, arising at the intersection of algebra and mathematical logic. Here we study algebras over a field, division algebra over a field, an alternative algebra with division over the field, Jordan algebra, Lie algebra. Comprehension of bases of the theory of algebras by the master of the «mathematical education» profile will promote more conscious
Teaching Mathematics Online in the European Area of Higher Education: An Instructor's Point of View
Juan, Angel A.; Steegmann, Cristina; Huertas, Antonia; Martinez, M. Jesus; Simosa, J.
2011-01-01
This article first discusses how information technologies are changing the way knowledge is delivered at universities worldwide. Then, the article reviews some of the most popular learning management systems available today and some of the most useful online resources in the areas of Mathematics and Statistics. After that, some long-term…
Facial plastic surgery area acquisition method based on point cloud mathematical model solution.
Li, Xuwu; Liu, Fei
2013-09-01
It is one of the hot research problems nowadays to find a quick and accurate method of acquiring the facial plastic surgery area to provide sufficient but irredundant autologous or in vitro skin source for covering extensive wound, trauma, and burnt area. At present, the acquisition of facial plastic surgery area mainly includes model laser scanning, point cloud data acquisition, pretreatment of point cloud data, three-dimensional model reconstruction, and computation of area. By using this method, the area can be computed accurately, but it is hard to control the random error, and it requires a comparatively longer computation period. In this article, a facial plastic surgery area acquisition method based on point cloud mathematical model solution is proposed. This method applies symmetric treatment to the point cloud based on the pretreatment of point cloud data, through which the comparison diagram color difference map of point cloud error before and after symmetry is obtained. The slicing mathematical model of facial plastic area is got through color difference map diagram. By solving the point cloud data in this area directly, the facial plastic area is acquired. The point cloud data are directly operated in this method, which can accurately and efficiently complete the surgery area computation. The result of the comparative analysis shows the method is effective in facial plastic surgery area.
Wulandari, N. A. D.; Sukestiyarno, Y. L.
2017-04-01
This research aims to develop an OQALE based reference module for school geometry subject that meets the criteria of a valid and practical. OQALE approach is learning by of O = observation, Q = question, A = Analyze, L = Logic, E = Express. Geometry subject presented in the module are a triangle, the Pythagorean theorem, and rectangular. Mathematical skills of creative thinking shown from four aspects: fluency, flexibility, originality and elaboration. Research procedures in the development of reference module using a strategy of the investigation and development described by [2], which is limited to the sixth stage is leading field testing. The focus of this research is to develop a reference module that is valid, practical and able to increase the mathematical creative thinking skills of students. The testing is limited to three teachers, nine students and two mathematic readers using purposive sampling technique. The data validity, practicality, and creative thinking skills upgrading collected through questionnaires, observations, and interviews and analysed with a valid test, practical test, gain test and qualitative descriptive. The results were obtained (1) the validity of the module = 4.52, which is 4.20 ≤ Vmthinking mathematically nine students through the test of the gain included in the high and medium category. The conclusions of this research are the generated OQALE based reference module for school geometry subjectis valid and practical.
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Qaiser Suleman
2014-02-01
Full Text Available Research reveals that private or home tuition after school time plays a crucial role in strengthening and improving studentâ€™s academic achievement. The purpose of the study was to explore the effects of private tuition on the academic achievement of students in subject of mathematics at secondary school level. All the students at secondary school level in Kohat Division (Pakistan constituted the population of the study. The study was delimited to the students of Government High School Ahmadi Banda Karak only. Fifty students of class 09 were selected as sample of the study. Sample students were divided into two groups i.e. control group and experimental group by equating them on the basis of their previous knowledge in subject of mathematics as determined through a pre-test. Each group was composed of 25 students. Students of the experimental group were engaged in tuition for two hours after school time. The study was experimental in nature therefore, â€œThe pre-test-post-test Equivalent Groups Designâ€ was used for the collection of data. Statistical tools i.e. the mean, standard deviation and differences of means were computed for each group. Significance of difference between the mean scores of both the experimental and control groups on the variable of pre-test and post test scores was tested at 0.05 levels by applying t-test. After statistical analysis of the data, the researchers concluded that there is significant positive effect of private tuition on the academic achievement of students in subject of mathematics at secondary school level. Based on the findings, it was recommended that parents should arrange private tuition for their children to move up their achievement level in subject of mathematics.
Tajudin, Nor'ain Mohd; Chinnappan, Mohan; Saad, Noor Shah
2017-05-01
Two key variables emerged from the literature review is that Specific Matter Knowledge [SMK] and Pedagogical Content Knowledge [PCK] can influence the mathematics teachers' Professional Development [PD] needs. However, the key variables of SMK and PCK that were being investigated were not defined clearly. Empirical evidence that support relationship between SMK and PD and PCK and PD were not verified. In addition, how does PCK mediate SMK and PD is not clear and somewhat lacking. Therefore, the purpose of this paper was to examine the relationship between primary mathematics teacher's SMK, PCK and PD needs. Results of path analysis with SmartPLS indicated that the direct effect of SMK on PD was mediated via PCK. This data provide support for the claim that PD programs for future teachers of primary mathematics should be driven by a more nuanced understanding of the link between SMK and PCK.
Hanford Environmental Information System (HEIS). Volume 3, Subject Area reference manual
Energy Technology Data Exchange (ETDEWEB)
Schreck, R.I.
1994-01-14
The Hanford Environmental Information System (HEIS) Subject Area manuals are designed as reference guides, that is, each chapter provides the information needed to make best use of each subject area, its tables, and reporting capabilities. Each subject area is documented in a chapter in one of the subject area manuals. Because these are reference manuals, most of the information is also available in the online help system as well. See Section 5.4.2 of the HEIS User`s Guide (DOE-RL 1994a) for a detailed description of the online help.
Lighting up Learning: Mathematics Becoming Less of a "Killer Subject" in Kwazulu-Natal, South Africa
Maher, Marguerite
2015-01-01
This paper reports the findings of an evaluative study of an initiative, in its sixth year of implementation, enhancing the learning and teaching of mathematics in 20 disadvantaged secondary schools in KwaZulu-Natal (KZN), South Africa, twenty years after democracy. Findings highlight the importance of initial and ongoing professional development…
More than Beliefs: Subject Areas and Teachers' Integration of Laptops in Secondary Teaching
Howard, Sarah K.; Chan, Amy; Caputi, Peter
2015-01-01
The purpose of this paper is to explore the relationship of subject areas to teachers' technology integration. Educational technology research has often identified "culture clashes" to explain differences in technology use between subject areas. These clashes are frequently attributed to core features, values and beliefs held in the…
Extent of the availability of Africana resources in subject areas in ...
African Journals Online (AJOL)
The study investigated the extent of the availability of Africana resources in various subject areas in thirteen first and second generation federal university libraries in Nigeria with the view of suggesting ways to improve the development of the collection in the university libraries that are deficient in the subject areas of any of ...
Multi-finger coordination in healthy subjects and stroke patients: a mathematical modelling approach
Ferrarin Maurizio; Jonsdottir Johanna; Carpinella Ilaria
2011-01-01
Abstract Background Approximately 60% of stroke survivors experience hand dysfunction limiting execution of daily activities. Several methods have been proposed to objectively quantify fingers' joints range of motion (ROM), while few studies exist about multi-finger coordination during hand movements. The present work analysed this aspect, by providing a complete characterization of spatial and temporal aspects of hand movement, through the mathematical modelling of multi-joint finger motion ...
Dissemination and Assessment Center for Bilingual Education, Austin, TX.
This is one of a series of student booklets designed for use in a bilingual mathematics program in grades 6-8. The general format is to present each page in both Spanish and English. The mathematical topics in this booklet include measurement, perimeter, and area. (MK)
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Maria Beatriz Ferreira Leite
2009-01-01
Full Text Available A Educação Ambiental constitui um processo educativo, cuja finalidade é desenvolver instrumentos pedagógicos e ampliar a prática educativa para que o homem viva em harmonia com o meio ambiente. A Modelagem Matemática é uma estratégia de ensino e aprendizagem, na qual os alunos transformam situações da realidade em modelos matemáticos por meio da investigação, ação e validação, abordando problemas que estão relacionados ao cotidiano. A Modelagem possibilita a aprendizagem de conteúdos matemáticos aplicados em outras ciências, onde a Matemática é aprendida e entendida como um instrumento para a compreensão e possível modificação da realidade. Assim, os modelos matemáticos podem constituir uma ferramenta útil na conscientização do indivíduo enquanto sujeito da sua própria ação. Neste trabalho os temas abordados são: crescimento de peixes, poluição do ar e agrotóxicos.Environmental education is an educative process which aims at developing teaching tools and extending educative practice to make human beings live in harmony with the environment. Mathematical Modeling is a strategy for teaching and learning, in which the students change situations of reality into mathematical models through investigation, action and validating, approaching problems which are related to their everyday lives. Modeling enables the learning of mathematical content applied to other sciences, where Mathematics is learned and understood as a tool for the comprehension and possible change of reality. Thus, mathematical models can be a useful tool to make us conscious while subject of our own action. In this work, the themes approached are: fish growth; air pollution and toxic agrochemicals.
Magnetic location of a possible earthquake epicentre area: a mathematical model
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O.B. Novik
2016-01-01
Full Text Available We study one of the problems of the theory of seismo-electromagnetic methods of earthquake prediction, namely, the physical nature of magnetic location of a future epicentre. According to numerous magneto-telluric soundings and geological theory of ore genesis, high seismicity lithosphere zones typically contain structures with high electric conductivity of the order of 0.01–0.1 S/m. Taking account of this particularity of the seismically active lithosphere zones, we applied the physical theory of magneto-thermo-elasticity and formulated a mathematical model of magnetic location of an area emitting a seismically generated electromagnetic field (an area with repeated emissions is expected to be the epicentre area of a future earthquake. In other words, we explained, on a rational geological, physical, and mathematical basis, why it occurred to be possible that Prof. Kopytenko (IZMIRAN, Russian Academy of Science and co-authors have localized the future epicentre area as the result of the magnetic field measurements.
Greig, Chasen J; Cowles, Robert A
2017-07-01
Quantification of intestinal mucosal growth typically relies on morphometric parameters, commonly villus height, as a surrogate for presumed changes in mucosal surface area (MSA). We hypothesized that using mathematical modeling based on multiple unique measurements would improve discrimination of the effects of interventions on MSA compared to standard measures. To determine the ability of mathematical modeling to resolve differences in MSA, a mouse model with enhanced serotonin (5HT) signaling known to stimulate mucosal growth was used. 5-HT signaling is potentiated by targeting the serotonin reuptake transporter (SERT) molecule. Selective serotonin reuptake inhibitor-treated wild-type (WT-SSRI), SERT-knockout (SERTKO), and wild-type C57Bl/6 (WT) mice were used. Distal ileal sections were H&E-stained. Villus height (VH), width (VW), crypt width (CW), and bowel diameter were used to calculate surface area enlargement factor (SEF) and MSA. VH alone for SERTKO and SSRI was significantly increased compared to WT, without a difference between SERTKO and WT-SSRI. VW and CW were significantly decreased for both SERTKO and WT-SSRI compared to WT, and VW for WT-SSRI was also decreased compared to SERTKO. These changes increased SEF and MSA for SERTKO and WT-SSRI compared to WT. Additionally, SEF and MSA were significantly increased for WT-SSRI compared to SERTKO. Mathematical modeling provides a valuable tool for differentiating changes in intestinal MSA. This more comprehensive assessment of surface area does not appear to correlate linearly with standard morphometric measures and represents a more comprehensive method for discriminating between therapies aimed at increasing functional intestinal mucosa. © 2017 Wiley Periodicals, Inc.
Jovanova-Mitkovska, Snezana; Popeska, Biljana
2015-01-01
Considering modern educational tendency in the system of primary education that refers to the possibilities to establish integration - correlation relationships between educational contents from different teaching subjects in primary education, in this paper we made a theoretical elaboration of contents from two teaching subjects: math and physical and health education as an approach that allows efficient acquisition of knowledge and their efficient application in everyday life. The analyses ...
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Jesús Vega Encabo
2015-11-01
Full Text Available In this paper, I claim that subjectivity is a way of being that is constituted through a set of practices in which the self is subject to the dangers of fictionalizing and plotting her life and self-image. I examine some ways of becoming subject through narratives and through theatrical performance before others. Through these practices, a real and active subjectivity is revealed, capable of self-knowledge and self-transformation.
Kage, Hiroyuki
New reformation project on engineering education, which is supported from 2005 to 2008FY by Support Program for Contemporary Educational Needs of Ministry of Education, Culture, Sports, Science and Technology, started in Kyushu Institute of Technology. In this project, teaching experience of students is introduced into the curriculum of Faculty of Engineering. In the curriculum students try to prepare teaching materials and to teach local school pupils with them by themselves. Teaching experience is remarkably effective for them to strengthen their self-dependence and learning motivation. Science Education Center, Science Laboratory and Super Teachers College were also organized to promote the area cooperation on the education of science and mathematics.
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О Г Игнатова
2016-12-01
Full Text Available The article deals inter-subject relations with other subjects of algebra curriculum. As part of the GEF activities from the teacher required the formation of a coherent picture of the world, which means that the results of a meta-subject teaching to be achieved. As an example, deals with the topic of non- uniform motion in physics and quadratic functions in algebra. The analysis of the requirements for learning outcomes, the study objectives and data integration capabilities in the process of the study. Just a list of tasks and issues for study in each of the lessons in both integrated classes, and the framework of the modular study. The question of the use and visualization tools as well as the combination of this material and other items (we considered the example of computer science lessons.
Hiriart-Urruty, Jean-Baptiste
This book contains a collection of exercises (called “tapas”) at undergraduate level, mainly from the fields of real analysis, calculus, matrices, convexity, and optimization. Most of the problems presented here are non-standard and some require broad knowledge of different mathematical subjects in order to be solved. The author provides some hints and (partial) answers and also puts these carefully chosen exercises into context, presents information on their origins, and comments on possible extensions. With stars marking the levels of difficulty, these tapas show or prove something interesting, challenge the reader to solve and learn, and may have surprising results. This first volume of Mathematical Tapas will appeal to mathematicians, motivated undergraduate students from science-based areas, and those generally interested in mathematics.
Stan, A.; Munteanu, M.
1974-01-01
Expressions are derived for the displacements of a many storied building subjected to the action of classical weaving looms located at different levels of the building. The building is regarded as a vertical fixed beam with a uniformly distributed mass as well as concentrated masses at each level. The calculation relations are obtained on the assumption of harmonic variation of the forces acting at each level as well as the assumption of narrow band stationary random excitatory forces.
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Anna Palmer
2011-12-01
Full Text Available The aim of this article is to illustrate how the understanding of mathematical subjectivity changes when transiting theoretically and methodologically from a discursive and performative thinking, as suggested by Judith Butler (1990, 1993, 1997, to an agential realist and diffractive thinking, inspired by Karen Barad’s theories (2007, 2008. To show this I have examined narrative memory stories about mathematics written by students participating in Teacher Education maths courses. I provide examples of such stories and present an in-depth analysis of one such story. The first part of the analysis has been carried out using performative methodological strategies – in relation to Judith Butler’s theories – while the latter part of analysis has been performed with the aid of diffractive methodological thinking – in relation to Barad’s theoretical perspectives. When summarising the different analyses, it becomes evident that the understanding of data – and of me as researcher – changes when transiting from one theoretical and methodological arena to another. Depending on which questions we pose, what methodological strategies we use, and which theoretical fields we get involved in, we would see and understand this differently.
Anwar, Rahmad Bustanul; Yuwono, Ipung; As'ari, Abdur Rahman; Sisworo; Dwi, Rahmawati
2016-01-01
Representation is an important aspect of learners in building a relational understanding of mathematical concepts. But the ability of a mathematical representation of students in building relational understanding is still very limited. The purpose of this research is to description of mathematical representation of students who appear in building…
Mastication, EMG activity and occlusal contact area in subjects with different facial types.
Gomes, Simone Guimarães Farias; Custodio, William; Jufer, Juliana Silva Moura; Del Bel, Cury Altair Antoninha; Garcia, Renata Cunha Matheus Rodrigues
2010-10-01
Dentofacial morphology may affect orofacial functions, therefore the aim of the current study was to evaluate the influence of craniofacial morphology on masticatory function, occlusal contact area (OCA), and masticatory muscles activity. Seventy-eight (78) subjects were divided into three groups according to vertical facial pattern: 1. mesofacial; 2. brachyfacial; and 3. dolichofacial. Artificial material and the sieving method were used to access masticatory efficiency (ME). OCA was determined by registration of posterior teeth. Electromyographic (EMG) activity of the masseter and anterior temporal (AT) muscles was accessed bilaterally at rest and at maximal vertical clenching (MVC). ME (%) was significantly higher in brachyfacial and lower in dolichofacial subjects. Brachyfacials presented the highest OCA (mm2) followed by meso and dolichofacial subjects. The EMG of the masseter and AT at rest and at MVC showed that dolichofacial subjects presented the lowest activity values, while brachyfacial subjects presented significantly higher measurements. Craniofacial morphology affected masticatory function, OCA, and EMG activity of the masticatory muscles.
Automated Detection of Working Area of Peripheral Blood Smears Using Mathematical Morphology
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Jesús Angulo
2003-01-01
Full Text Available The paper presents a technique to automatically detect the working area of peripheral blood smears stained with May‐Grünwuald Giemsa. The optimal area is defined as the well spread part of the smear. This zone starts when the erythrocytes stop overlapping (on the body film side and finishes when the erythrocytes start losing their clear central zone (on the feather edge side. The approach yields a quick detection of this area in images scanned under low magnifying power (immersion objective ×25 or ×16. The algorithm consists of two stages. First, an image analysis procedure using mathematical morphology is applied for extracting the erythrocytes, the centers of erythrocytes and the erythrocytes with center. Second, the number of connected components from the three kinds of particles is counted and the coefficient of spreading ρs and the coefficient of overlapping ρo are calculated. The data from fourteen smears illustrate how the technique is used and its performance. Colour figures can be viewed on http://www.esacp.org/acp/2003/25‐1/angulo.htm.
Increased BDNF promoter methylation in the Wernicke area of suicide subjects.
Keller, Simona; Sarchiapone, Marco; Zarrilli, Federica; Videtic, Alja; Ferraro, Angelo; Carli, Vladimir; Sacchetti, Silvana; Lembo, Francesca; Angiolillo, Antonella; Jovanovic, Nikolina; Pisanti, Francesco; Tomaiuolo, Rossella; Monticelli, Antonella; Balazic, Joze; Roy, Alec; Marusic, Andrej; Cocozza, Sergio; Fusco, Alfredo; Bruni, Carmelo B; Castaldo, Giuseppe; Chiariotti, Lorenzo
2010-03-01
Brain-derived neurotrophic factor (BDNF) plays a pivotal role in the pathophysiology of suicidal behavior and BDNF levels are decreased in the brain and plasma of suicide subjects. So far, the mechanisms leading to downregulation of BDNF expression are poorly understood. To test the hypothesis that alterations of DNA methylation could be involved in the dysregulation of BDNF gene expression in the brain of suicide subjects. Three independent quantitative methylation techniques were performed on postmortem samples of brain tissue. BDNF messenger RNA levels were determined by quantitative real-time polymerase chain reaction. Academic medical center. Forty-four suicide completers and 33 nonsuicide control subjects of white ethnicity. The DNA methylation degree at BDNF promoter IV and the genome-wide DNA methylation levels in the brain's Wernicke area. Postmortem brain samples from suicide subjects showed a statistically significant increase of DNA methylation at specific CpG sites in BDNF promoter/exon IV compared with nonsuicide control subjects (P Wernicke area of the postmortem brain of suicide subjects irrespective of genome-wide methylation levels, indicating that a gene-specific increase in DNA methylation could cause or contribute to the downregulation of BDNF expression in suicide subjects. The reported data reveal a novel link between epigenetic alteration in the brain and suicidal behavior.
Mok, Magdalena Mo Ching; Zhu, Jinxin; Law, Cecilia Lai Kwan
2017-01-01
This study aimed to explore the cross-lagged association of achievements in mathematics and languages. While the effect of language on achievements in mathematics is well-documented, few studies have examined the reciprocal relationships among mathematics, the Chinese language and the English language in the same study. This study conducted a…
An investigation on impacts of scheduling configurations on Mississippi biology subject area testing
Marchette, Frances Lenora
The purpose of this mixed modal study was to compare the results of Biology Subject Area mean scores of students on a 4 x 4 block schedule, A/B block schedule, and traditional year-long schedule for 1A to 5A size schools. This study also reviewed the data to determine if minority or gender issues might influence the test results. Interviews with administrators and teachers were conducted about the type of schedule configuration they use and the influence that the schedule has on student academic performance on the Biology Subject Area Test. Additionally, this research further explored whether schedule configurations allow sufficient time for students to construct knowledge. This study is important to schools, teachers, and administrators because it can assist them in considering the impacts that different types of class schedules have on student performance and if ethnic or gender issues are influencing testing results. This study used the causal-comparative method for the quantitative portion of the study and constant comparative method for the qualitative portion to explore the relationship of school schedules on student academic achievement on the Mississippi Biology Subject Area Test. The aggregate means of selected student scores indicate that the Mississippi Biology Subject Area Test as a measure of student performance reveals no significant difference on student achievement for the three school schedule configurations. The data were adjusted for initial differences of gender, minority, and school size on the three schedule configurations. The results suggest that schools may employ various schedule configurations and expect student performance on the Mississippi Biology Subject Area Test to be unaffected. However, many areas of concern were identified in the interviews that might impact on school learning environments. These concerns relate to effective classroom management, the active involvement of students in learning, the adequacy of teacher education
Teaching Mathematical Modeling in Mathematics Education
Saxena, Ritu; Shrivastava, Keerty; Bhardwaj, Ramakant
2016-01-01
Mathematics is not only a subject but it is also a language consisting of many different symbols and relations. Taught as a compulsory subject up the 10th class, students are then able to choose whether or not to study mathematics as a main subject. The present paper discusses mathematical modeling in mathematics education. The article provides…
Building Virtually Free Subject Area Expertise through Social Media: An Exploratory Study
Kooy, Brian K.
2016-01-01
Central to the ongoing success of the liaison model is the need for liaison librarians to stay informed and up-to-date about recent developments in the subject areas of their assigned academic departments and programs. This article describes an exploratory study conducted to determine whether information obtained from the social media accounts of…
Subject Area Glossary. Arabic-English Vocabulary. Curriculum Bulletin Number 22.
Chicago Board of Education, IL. Dept. of Curriculum.
A glossary of commonly used and subject-area English words and their Arabic equivalents with romanization was prepared for teachers and Arabic-speaking, limited-English-speaking children in the Chicago public schools. It consists of: (1) a key to Arabic pronunciation of velarized consonants, glottal consonants, and Arabic double-consonants; (2) a…
Saracevic, Tefko; Perk, Lawrence J.
1973-01-01
A combination of quantitative and qualitative techniques were used to analize the journal articles indexed in one volume of Library Literature.'' This approach, merging bibliometrics and classification, yielded results in such areas as dispersion of articles among journals, frequency of article type and types of subjects covered. (16 references)…
Perceptions of Classroom Assessment Tasks: An Interplay of Gender, Subject Area, and Grade Level
Alkharusi, Hussain Ali; Al-Hosni, Salim
2015-01-01
This study investigates students' perceptions of classroom assessment tasks as a function of gender, subject area, and grade level. Data from 2753 students on Dorman and Knightley's (2006) Perceptions of Assessment Tasks Inventory (PATI) were analyzed in a MANOVA design. Results showed that students tended to hold positive perceptions of their…
Measuring Leaf Area in Soy Plants by HSI Color Model Filtering and Mathematical Morphology
Benalcázar, M.; Padín, J.; Brun, M.; Pastore, J.; Ballarin, V.; Peirone, L.; Pereyra, G.
2011-12-01
There has been lately a significant progress in automating tasks for the agricultural sector. One of the advances is the development of robots, based on computer vision, applied to care and management of soy crops. In this task, digital image processing plays an important role, but must solve some important problems, like the ones associated to the variations in lighting conditions during image acquisition. Such variations influence directly on the brightness level of the images to be processed. In this paper we propose an algorithm to segment and measure automatically the leaf area of soy plants. This information is used by the specialists to evaluate and compare the growth of different soy genotypes. This algorithm, based on color filtering using the HSI model, detects green objects from the image background. The segmentation of leaves (foliage) was made applying Mathematical Morphology. The foliage area was estimated counting the pixels that belong to the segmented leaves. From several experiments, consisting in applying the algorithm to measure the foliage of about fifty plants of various genotypes of soy, at different growth stages, we obtained successful results, despite the high brightness variations and shadows in the processed images.
A Subject-Specificity Analysis of Radio Channels in Wireless Body Area Networks
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Yang Hao
2011-07-01
Full Text Available This paper presents an analysis of subject-specific radio channels in wireless body area networks (WBANs using a simulation tool based on the parallel finite-difference time-domain (FDTD technique. This technique is well suited to model radio propagations around complex, inhomogeneous objects such as the human body. The impacts of different subjects varying in size on on-body, inter-body, and off-body radio channels are studied. The analysis demonstrates that the characteristics of on-body radio channels are subject-specific and are associated with human gender, height, and body mass index. On the other hand, when waves propagate away from the body, such as in the inter-body and off-body cases, the impacts of different subjects on the channel characteristics are found to be negligible.
Yoda, Mitsumasa; Yoda, Asako; Shiota, Yasuhito
In this study, we conducted a subjective evaluation experiment of a dual manipulator, which exhibits different motion characteristics. There are three motion characteristics: two of which are age-related, and the third is a robot motion characteristic and is newly added to these two motions. The motions are evaluated from motion areas and motion velocities. Subjects are elderly and young people, and the impressions of the motions are compared in two of the different age groups by the Semantic Differential (SD) method. The obtained results indicate that there are age differences in the evaluation of three manipulator motion areas. The elderly people show a higher reliability and a higher familiarity in a robot motion area than in the other two motions. The elderly people seem to be more affected by the manipulator motion than the young people. Therefore, a careful consideration is required when planning the motion of a manipulator for elderly people.
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Nee Alexander
2015-01-01
Full Text Available Mathematical modeling of radiant heating of a closed rectangular area under conditions of convective heat transfer at the external boundaries is passed. The fields of temperature and stream function, illustrating the unsteady nature of the heat transfer were obtained. The extent influence of convective heat transfer at the external boundaries on the circulating flows formation in the gas cavity are shown.
MATHEMATICS CLUSTERS IN SELECTED AREAS OF VOCATIONAL EDUCATION, REPORT NUMBER 8.
RAHMLOW, HAROLD F.; WINCHELL, LEONARD
IDENTIFICATIONS WERE MADE OF THE MATHEMATICAL KNOWLEDGES COMMONLY USED IN OCCUPATIONS MOST READILY SUITABLE FOR NONCOLLEGE-BOUND YOUTH. TASK ITEMS FROM QUESTIONNAIRES USED IN OFFICE OCCUPATIONS, GENERAL MERCHANDISING, BUILDING TRADES, ELECTRONICS, FOOD SERVICE, CHILD CARE, AND AGRICULTURE STUDIES WERE EXAMINED FOR MATHEMATICAL KNOWLEDGE CONTENT.…
C³TO: enabling mathematics teachers to create a presence on mxit and other chat areas
CSIR Research Space (South Africa)
Butgereit, L
2010-03-01
Full Text Available are more than willing to discuss mathematics on mxit and in chartrooms, it has been difficult (if not impossible) for an ordinary mathematics teacher(with limited computer and financial resources) to take advantage of this eagerness on the part...
Gorev, Pavel M.; Masalimova, Alfiya R.
2017-01-01
The article is aimed at describing one of the possible interdisciplinary courses for students of the 7-9 classes of the basic school connecting mathematics with natural sciences and the study of such courses role in the formation and development of meta-subject competencies of students. The leading method for this is the modeling of…
McKinley, Robert L.; Schaeffer, Gary A.
A study was conducted to evaluate the feasibility of using item response theory (IRT) equating to reduce test form overlap of the Graduate Record Examinations (GRE) Subject Test in Mathematics. Monte Carlo methods were employed to compare double-part equating with 20-item common item blocks to triple-part equating with 10-item common item blocks.…
Mentoring in mathematics education
Hyde, Rosalyn
2013-01-01
Designed to support both teachers and university-based tutors in mentoring pre-service and newly qualified mathematics teachers at both primary and secondary levels, Mentoring Mathematics Teachers offers straightforward practical advice that is based on practice, underpinned by research, and geared specifically towards this challenging subject area.Developed by members of The Association of Mathematics Education Teachers, the authors draw upon the most up-to-date research and theory to provide evidence-based practical guidance. Themes covered include:
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Simone Guimarães Farias Gomes
2011-10-01
Full Text Available Craniofacial dimensions influence oral functions; however, it is not known whether they are associated with function asymmetry. The objective of this study was to evaluate chewing side preference and lateral asymmetry of occlusal contact area and bite force of individuals with different craniofacial patterns. Seventy-eight dentate subjects were divided into 3 groups according to the VERT index as follows: (1 mesofacial, (2 brachyfacial and (3 dolichofacial. Chewing side preference was evaluated using jaw tracking equipment, occlusal contact area was measured by silicon registration of posterior teeth, and bite force was measured unilaterally on molar regions using 2.25 mm-thick sensors. Statistical analysis was performed using ANOVA on Ranks, Student's t-test, and Mann-Whitney tests at a 5% significance level. Mesofacial, brachyfacial, and dolichofacial subjects presented more occlusal contact area on the left side. Only dolichofacial subjects showed lateral asymmetry for bite force, presenting higher force on the left side. No statistically significant differences were found for chewing side preference among all groups. Within the limitations of this study, it can be concluded that craniofacial dimensions play a role in asymmetry of bite force. ClinicalTrials.gov ID: NCT01286363.
Condylar volume and condylar area in class I, class II and class III young adult subjects
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Saccucci Matteo
2012-12-01
Full Text Available Abstract Aim Aim of this study was to compare the volume and the shape of mandibular condyles in a Caucasian young adult population, with different skeletal pattern. Material and methods 200 Caucasian patients (15–30 years old, 95 male and 105 females were classified in three groups on the base of ANB angle: skeletal class I (65 patients, skeletal class II (70 patients and skeletal class III (65 patients. Left and right TMJs of each subject were evaluated independently with CBCT (Iluma. TMJ evaluation included: condylar volume; condylar area; morphological index (MI. Condylar volumes were calculated by using the Mimics software. The condylar volume, the area and the morphological index (MI were compared among the three groups, by using non-parametric tests. Results The Kruskal-Wallis test and the Mann Whitney test revealed that: no significant difference was observed in the whole sample between the right and the left condylar volume; subjects in skeletal class III showed a significantly higher condylar volume, respect to class I and class II subjects (p 3 in males and 663.5 ± 81.3 mm3 in females; p 2 in males and 389.76 ± 61.15 mm2 in females; p Conclusion Skeletal class appeared to be associated to the mandibular condylar volume and to the mandibular condylar area in the Caucasian orthodontic population.
Gorev, Pavel M.; Aydar M. Kalimullin
2017-01-01
The purpose of the research is to study and change the structure of a mathematical lesson to improve quality of pupils' mathematical training and design mechanisms of inclusion the systems of open type tasks in educational process considering specifics of pupils' creative personality development. The leading method is modeling of a mathematical…
Discrete mathematics using a computer
Hall, Cordelia
2000-01-01
Several areas of mathematics find application throughout computer science, and all students of computer science need a practical working understanding of them. These core subjects are centred on logic, sets, recursion, induction, relations and functions. The material is often called discrete mathematics, to distinguish it from the traditional topics of continuous mathematics such as integration and differential equations. The central theme of this book is the connection between computing and discrete mathematics. This connection is useful in both directions: • Mathematics is used in many branches of computer science, in applica tions including program specification, datastructures,design and analysis of algorithms, database systems, hardware design, reasoning about the correctness of implementations, and much more; • Computers can help to make the mathematics easier to learn and use, by making mathematical terms executable, making abstract concepts more concrete, and through the use of software tools su...
Condylar volume and condylar area in class I, class II and class III young adult subjects.
Saccucci, Matteo; D'Attilio, Michele; Rodolfino, Daria; Festa, Felice; Polimeni, Antonella; Tecco, Simona
2012-12-14
Aim of this study was to compare the volume and the shape of mandibular condyles in a Caucasian young adult population, with different skeletal pattern. 200 Caucasian patients (15-30 years old, 95 male and 105 females) were classified in three groups on the base of ANB angle: skeletal class I (65 patients), skeletal class II (70 patients) and skeletal class III (65 patients). Left and right TMJs of each subject were evaluated independently with CBCT (Iluma). TMJ evaluation included: condylar volume; condylar area; morphological index (MI). Condylar volumes were calculated by using the Mimics software. The condylar volume, the area and the morphological index (MI) were compared among the three groups, by using non-parametric tests. The Kruskal-Wallis test and the Mann Whitney test revealed that: no significant difference was observed in the whole sample between the right and the left condylar volume; subjects in skeletal class III showed a significantly higher condylar volume, respect to class I and class II subjects (p condylar volume was observed in class II subjects, respect to class I and class III (p condylar volume (699.8 ± 63.07 mm3 in males and 663.5 ± 81.3 mm3 in females; p condylar surface (423.24 ± 63.03 mm2 in males and 389.76 ± 61.15 mm2 in females; p condylar volume and to the mandibular condylar area in the Caucasian orthodontic population.
Mathematics university teachers' perception of pedagogical content knowledge (PCK)
Khakbaz, Azimehsadat
2016-02-01
Teaching mathematics in university levels is one of the most important fields of research in the area of mathematics education. Nevertheless, there is little information about teaching knowledge of mathematics university teachers. Pedagogical content knowledge (PCK) provides a suitable framework to study knowledge of teachers. The purpose of this paper is to make explicit the perception of mathematics university teachers about PCK. For this purpose, a phenomenological study was done. Data resources included semi-structured interviews with 10 mathematics university teachers who were in different places of the mathematics university teaching experience spectrum. Data analysis indicated a model consisting of four cognitive themes which are mathematics syntactic knowledge, knowledge about mathematics curriculum planning, knowledge about students' mathematics learning and knowledge about creating an influential mathematics teaching-learning environment. Besides, it was found out that three contextual themes influenced on PCK for teaching mathematics in university levels which were the nature of mathematics subjects, university teachers' features and terms of learning environment.
Tossavainen, Timo; Juvonen, Antti
2015-01-01
Based on an expectancy-value theoretical framework and data (n = 1654) collected in 29 Finnish municipalities using a structured questionnaire, this study examines primary (grades 5-6), lower secondary (grades 7-9) and upper secondary (grades 10-12) students' motivation in music and mathematics. It explores in detail the students' interest in…
Andreescu, Titu; Tetiva, Marian
2017-01-01
Building bridges between classical results and contemporary nonstandard problems, Mathematical Bridges embraces important topics in analysis and algebra from a problem-solving perspective. Blending old and new techniques, tactics and strategies used in solving challenging mathematical problems, readers will discover numerous genuine mathematical gems throughout that will heighten their appreciation of the inherent beauty of mathematics. Most of the problems are original to the authors and are intertwined in a well-motivated exposition driven by representative examples. The book is structured to assist the reader in formulating and proving conjectures, as well as devising solutions to important mathematical problems by making connections between various concepts and ideas from different areas of mathematics. Instructors and educators teaching problem-solving courses or organizing mathematics clubs, as well as motivated mathematics students from high school juniors to college seniors, will find Mathematical Bri...
Anton, Jose M.; Grau, Juan B.; Tarquis, Ana M.; Sanchez, Elena; Andina, Diego
2014-05-01
The authors were involved in the use of some Mathematical Decision Models, MDM, to improve knowledge and planning about some large natural or administrative areas for which natural soils, climate, and agro and forest uses where main factors, but human resources and results were important, natural hazards being relevant. In one line they have contributed about qualification of lands of the Community of Madrid, CM, administrative area in centre of Spain containing at North a band of mountains, in centre part of Iberian plateau and river terraces, and also Madrid metropolis, from an official study of UPM for CM qualifying lands using a FAO model from requiring minimums of a whole set of Soil Science criteria. The authors set first from these criteria a complementary additive qualification, and tried later an intermediate qualification from both using fuzzy logic. The authors were also involved, together with colleagues from Argentina et al. that are in relation with local planners, for the consideration of regions and of election of management entities for them. At these general levels they have adopted multi-criteria MDM, used a weighted PROMETHEE, and also an ELECTRE-I with the same elicited weights for the criteria and data, and at side AHP using Expert Choice from parallel comparisons among similar criteria structured in two levels. The alternatives depend on the case study, and these areas with monsoon climates have natural hazards that are decisive for their election and qualification with an initial matrix used for ELECTRE and PROMETHEE. For the natural area of Arroyos Menores at South of Rio Cuarto town, with at North the subarea of La Colacha, the loess lands are rich but suffer now from water erosions forming regressive ditches that are spoiling them, and use of soils alternatives must consider Soil Conservation and Hydraulic Management actions. The use of soils may be in diverse non compatible ways, as autochthonous forest, high value forest, traditional
[Characterization of the leadership subject areas in the respiratory field in Spain].
de Granda-Orive, J I; García-Río, F; Roig-Vázquez, F; Aleixandre-Benavent, R; Valderrama-Zurían, J C; Martínez-Albiach, J M; Callol-Sánchez, L
2006-11-01
The aim of this study was to characterize the leading topics in respiratory system in Spain through a bibliometric analysis. For identify and characterize the performance of the different research topics in respiratory system in Spain, we compile the production using a journal that turn out representative of a broad group of researcher. In this sense the journal Archivos de Bronconeumología is the most important publication in Spanish language of this field. A total of 2198 articles published in Archivos Bronconeumología from 1970 to 2000 were analyzed. In each three decades, we did not found differences except in the productivity index in oncology in the eighty decade and in respiratory failure and sleep disturbance (RFSD) and oncology areas in the ninetieth decade and in the Price index (consumption indicators) in the diagnostic and therapeutic techniques area in seventy decade. When we compare the productivity index of each subject areas between decades, we found a significant production increase in the ninetieth decade in asthma, RFSD, tuberculosis, non tuberculosis infection, circulation, oncology, pleural disease and interstitial areas versus the same in seventy decade, and also, we found significant differences between ninetieth and eighty decades in the asthma, RFSD, non tuberculosis infection, circulation and pleural disease areas. Tuberculosis area maintains an insularity index higher than the other areas. We also found a progressive increase in the insularity index of RFSD, non tuberculosis infection, oncology and interstitial disease areas. In general all the indicators maintains stable although the more productivity topics were respiratory failure and sleep disturbances, and oncology. The productivity has increased in asthma, respiratory failure and sleep disturbances, tuberculosis, non - tuberculosis respiratory infections, oncology, pulmonary circulation, pleura and interstitial disease.
Sovič, Pavel
2016-01-01
The thesis deals with constructivist approaches to teaching mathematics in lower secondary school, which means that a pupil is the centre of learning process. Based on study of literature, textbook analysis, and, in particular, in accordance with the theory of generic models as a theory describing way to build pupils' knowledge, a teaching experiment was prepared, focusing on the area of triangle and parallelogram. Experimental lessons were realized in two 7 grade classes with different exper...
Blood biomonitoring of metals in subjects living near abandoned mining and active industrial areas.
Madeddu, Roberto; Tolu, Paola; Asara, Yolande; Farace, Cristiano; Forte, Giovanni; Bocca, Beatrice
2013-07-01
A human blood biomonitoring campaign to detect the environmental exposure to metals (Cd, Cu, Cr, Mn, Pb and Zn) in 265 subjects was performed in the South-Western part of Sardinia (an Italian island) that is a particular area with a great history of coal and metal mining (Pb/Zn mainly) activities and large industrial structures (as metallurgy). Subjects living near the industrial plant area had geometric means (GM) of blood Cd (0.79 μg/l), Cu (971 μg/l), Mn (12.2 μg/l), and Pb (55.7 μg/l) significantly higher than controls (Cd, 0.47 μg/l; Cu, 900 μg/l; Mn 9.98 μg/l; Pb, 26.5 μg/l) and than people living nearby the past mining sites. Subjects living next to one dismissed mine were statistically higher in blood Cu (GM, 1,022 μg/l) and Pb (GM, 41.4 μg/l) concentrations than controls. No differences were observed in people living in the different mining sites, and this might be related to the decennial disclosure of mines and the adoption of environmental remediation programmes. Some interindividual variables influenced blood biomonitoring data, as smoke and age for Cd, gender for Cu, age, sex and alcohol for Pb, and age for Zn. Moreover, blood metal levels of the whole population were similar to reference values representative of the Sardinian population and acceptably safe according to currently available health guidelines.
2010-05-13
... Areas Subject to a Boil-Water Advisory; Availability AGENCY: Food and Drug Administration, HHS. ACTION... entitled ``Guidance for Industry: Use of Water by Food Manufacturers in Areas Subject to a Boil-Water Advisory.'' This guidance is intended to advise food manufacturers that once a boil-water advisory has been...
Cardina, Catherine
2014-01-01
Purpose: The purpose of this study was to identify academic preparation and subject-area certifications of K-12 public school staff teaching at least one health education class during 2011-2012 academic year. In general, teachers who are well qualified to teach a subject area are more likely to positively affect student achievement. Methods: Data…
Increased cortical area and thickness in the distal radius in subjects with SHOX-gene mutation.
Frederiksen, A L; Hansen, S; Brixen, K; Frost, M
2014-12-01
Short-stature homeobox (SHOX) gene haploinsufficiency may cause skeletal dysplasia including Léri-Weill Dyschondrosteosis (LWD), a clinical entity characterised by the triad of low height, mesomelic disproportion and Madelung's deformity of the wrist. Bone microarchitecture and estimated strength in adult SHOX mutation carriers have not been examined. Twenty-two subjects with a SHOX mutation including 7 males and 15 females with a median age of 38.8 [21.1-52.2] years were recruited from five unrelated families. The control group consisted of 22 healthy subjects matched on age and sex. Bone mineral density (BMD) was measured by dual-energy X-ray absorptiometry. Bone geometry, volumetric density, microarchitecture and finite element estimated (FEA) bone strength were measured using high-resolution peripheral quantitative computed tomography (HR-pQCT). A full region of interest (ROI) image analysis and height-matched ROI analyses adjusting for differences in body height between the two groups were performed. Areal BMD and T-scores showed no significant differences between cases and controls. Total radius area was smaller in cases than controls (207 [176-263] vs. 273 [226-298] mm, pRadius cortical bone area (74 ± 20 vs. 58 ± 17 mm(2), p=0.01) and thickness (1.16 ± 0.30 vs. 0.84 ± 0.26 mm, pRadius trabecular bone area (119 [103-192] vs. 202 [168-247] mm(2), pradius and tibia cortical porosity or FEA failure load between groups. A segment of cortical bone defect was identified in the distal radius adjacent to ulna in five unrelated SHOX mutation carriers. Subjects with a SHOX mutation presented with a different bone geometry in radius and tibia while there were no differences in BMD or failure load compared to controls, suggesting that mutations in SHOX gene may have an impact on bone microarchitecture albeit not bone strength. Copyright © 2014 Elsevier Inc. All rights reserved.
Hsieh, Po-Fan; Wang, Yu-De; Huang, Chi-Ping; Wu, Hsi-Chin; Yang, Che-Rei; Chen, Guang-Heng; Chang, Chao-Hsiang
2016-07-01
We proposed a mathematical formula to calculate contact surface area between a tumor and renal parenchyma. We examined the applicability of using contact surface area to predict renal function after partial nephrectomy. We performed this retrospective study in patients who underwent partial nephrectomy between January 2012 and December 2014. Based on abdominopelvic computerized tomography or magnetic resonance imaging, we calculated the contact surface area using the formula (2*π*radius*depth) developed by integral calculus. We then evaluated the correlation between contact surface area and perioperative parameters, and compared contact surface area and R.E.N.A.L. (Radius/Exophytic/endophytic/Nearness to collecting system/Anterior/Location) score in predicting a reduction in renal function. Overall 35, 26 and 45 patients underwent partial nephrectomy with open, laparoscopic and robotic approaches, respectively. Mean ± SD contact surface area was 30.7±26.1 cm(2) and median (IQR) R.E.N.A.L. score was 7 (2.25). Spearman correlation analysis showed that contact surface area was significantly associated with estimated blood loss (p=0.04), operative time (p=0.04) and percent change in estimated glomerular filtration rate (p filtration rate (p filtration rate compared to R.E.N.A.L. score (AUC 0.86 vs 0.69). Using this simple mathematical method, contact surface area was associated with surgical outcomes. Compared to R.E.N.A.L. score, contact surface area was a better predictor of functional change after partial nephrectomy. Copyright © 2016 American Urological Association Education and Research, Inc. Published by Elsevier Inc. All rights reserved.
Refractive error study in young subjects: results from a rural area in Paraguay
Signes-Soler, Isabel; Hernández-Verdejo, José Luis; Estrella Lumeras, Miguel Angel; Tomás Verduras, Elena; Piñero, David P.
2017-01-01
AIM To evaluate the distribution of refractive error in young subjects in a rural area of Paraguay in the context of an international cooperation campaign for the prevention of blindness. METHODS A sample of 1466 young subjects (ranging from 3 to 22 years old), with a mean age of 11.21±3.63 years old, were examined to assess their distance visual acuity (VA) and refractive error. The first screening examination performed by trained volunteers, included visual acuity testing, autokeratometry and non-cycloplegic autorefraction. Inclusion criteria for a second complete cycloplegic eye examination by an optometrist were VA <20/25 (0.10 logMAR or 0.8 decimal) and/or corneal astigmatism ≥1.50 D. RESULTS An uncorrected distance VA of 0 logMAR (1.0 decimal) was found in 89.2% of children. VA <20/25 and/or corneal astigmatism ≥1.50 D was found in 3.9% of children (n=57), with a prevalence of hyperopia of 5.2% (0.2% of the total) in this specific group. Furthermore, myopia (spherical equivalent ≤-0.5 D) was found in 37.7% of the refracted children (0.5% of the total). The prevalence of refractive astigmatism (cylinder ≤-1.50 D) was 15.8% (0.6% of the total). Visual impairment (VI) (0.05≤VA≤0.3) was found in 12/114 (0.4%) of the refracted eyes. Main causes for VI were refractive error (58%), retinal problems (17%, 2/12), albinism (17%, 2/12) and unknown (8%, 1/12). CONCLUSION A low prevalence of refractive error has been found in this rural area of Paraguay, with higher prevalence of myopia than of hyperopia. PMID:28393041
Refractive error study in young subjects: results from a rural area in Paraguay
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Isabel Signes-Soler
2017-03-01
Full Text Available AIM: To evaluate the distribution of refractive error in young subjects in a rural area of Paraguay in the context of an international cooperation campaign for the prevention of blindness. METHODS: A sample of 1466 young subjects (ranging from 3 to 22 years old, with a mean age of 11.21±3.63 years old, were examined to assess their distance visual acuity (VA and refractive error. The first screening examination performed by trained volunteers, included visual acuity testing, autokeratometry and non-cycloplegic autorefraction. Inclusion criteria for a second complete cycloplegic eye examination by an optometrist were VA <20/25 (0.10 logMAR or 0.8 decimal and/or corneal astigmatism ≥1.50 D. RESULTS: An uncorrected distance VA of 0 logMAR (1.0 decimal was found in 89.2% of children. VA <20/25 and/or corneal astigmatism ≥1.50 D was found in 3.9% of children (n=57, with a prevalence of hyperopia of 5.2% (0.2% of the total in this specific group. Furthermore, myopia (spherical equivalent ≤-0.5 D was found in 37.7% of the refracted children (0.5% of the total. The prevalence of refractive astigmatism (cylinder ≤-1.50 D was 15.8% (0.6% of the total. Visual impairment (VI (0.05≤VA≤0.3 was found in 12/114 (0.4% of the refracted eyes. Main causes for VI were refractive error (58%, retinal problems (17%, 2/12, albinism (17%, 2/12 and unknown (8%, 1/12. CONCLUSION: A low prevalence of refractive error has been found in this rural area of Paraguay, with higher prevalence of myopia than of hyperopia.
Spatial variability of soil potassium in sugarcane areas subjected to the application of vinasse.
De Carvalho, Laércio A; Meurer, Ismael; Da Silva Junior, Carlos A; Santos, Cristiane F B; Libardi, Paulo L
2014-12-01
When deposited on land the vinasse can promote improvement in fertility, however, often fertilizer application occurs in areas considered homogeneous, without taking into account the variability of the soil. The objective of this study was to evaluate the effect of vinasse application on potassium content in two classes of soils cultivated with sugarcane, and characterize the spatial variability of soil using geostatistical techniques. In the 2010 and 2011 crop year, soil samples were collected from an experimental grid at 0-0.2 and 0.2-0.4 m depth in three soils cultivated with sugarcane, totaling 90 samplings in each grid, for the determination of pH, calcium (Ca), magnesium (Mg), potassium (K), phosphorus (P), aluminum (Al) and potential acidity (H + Al). The data have been submitted to analysis of descriptive statistics and the K attribute was subjected to geostatistical analysis. The coefficient of variation indicated medium and high variability of K for the three soils. The results showed that the spatial dependence of K increased in depth to FRce and decreased to PHlv, indicating that the attribute could have followed the pattern of distribution of clay in depth. The investigation of the spatial variability of K on the surface and subsurface soils provided the definition of management zones with different levels of fertility, which can be organized into sub-areas for a more efficient management of the resources and the environment.
Spatial variability of soil potassium in sugarcane areas subjected to the application of vinasse
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LAÉRCIO A. DE CARVALHO
2014-12-01
Full Text Available When deposited on land the vinasse can promote improvement in fertility, however, often fertilizer application occurs in areas considered homogeneous, without taking into account the variability of the soil. The objective of this study was to evaluate the effect of vinasse application on potassium content in two classes of soils cultivated with sugarcane, and characterize the spatial variability of soil using geostatistical techniques. In the 2010 and 2011 crop year, soil samples were collected from an experimental grid at 0-0.2 and 0.2-0.4 m depth in three soils cultivated with sugarcane, totaling 90 samplings in each grid, for the determination of pH, calcium (Ca, magnesium (Mg, potassium (K, phosphorus (P, aluminum (Al and potential acidity (H + Al. The data have been submitted to analysis of descriptive statistics and the K attribute was subjected to geostatistical analysis. The coefficient of variation indicated medium and high variability of K for the three soils. The results showed that the spatial dependence of K increased in depth to FRce and decreased to PHlv, indicating that the attribute could have followed the pattern of distribution of clay in depth. The investigation of the spatial variability of K on the surface and subsurface soils provided the definition of management zones with different levels of fertility, which can be organized into sub-areas for a more efficient management of the resources and the environment.
10 Content-Area Literacy Strategies for Art, Mathematics, Music, and Physical Education
Ming, Kavin
2012-01-01
Content-area literacy involves the use of research-based learning strategies that help students effectively and efficiently gain content knowledge. Its use is fundamental to all content areas, not just to those that rely heavily on printed materials. One of the major goals of content-area instruction is to produce critical thinkers and problem…
Silvers, L. J.
2014-01-01
Within the United Kingdom (UK), the graduate student population in mathematics departments seeking to obtain the higher degree of Doctor of Philosophy (PhD) has become increasingly diverse as a result of a number of factors. This student body faces a variety of challenges that raise questions about what provisions universities should provide in order to give these students the greatest chance of a successful completion of their PhD programme.\\ud \\ud In this article I argue that universities s...
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P. P. Oleynik
2015-11-01
Full Text Available The paper deals with domain-driven design applicability of information systems for client queuing subject areas. The following optimality criteria were put forward for the final implementation: the possibility of automation with a single system both for small institution and a whole network of institutions; advanced graphical interface with support for sensor screens; implementation of multi-users account of orders from clients; flexible application architecture with the ability of future enhancement; ability of integration with a variety of peripherals. The necessity of each criterion definition is shown. For implementability estimation, test information system was designed, automating the queuing system. Unified modeling language UML is used. Description of each class functionality is given and the association with other classes as well. Attention is paid to the design of tree (hierarchical structures and selection procedure of base classes based on the analysis of existing common attributes. For the system implementation, its own development environment SharpArchitect RAD Studio is used, offering MDA approach for implementation of systems based on standardized meta object system. A graphical view of order form developed prototype is presented, composition and structure are described, and notation developed by the author is given simplifying the prototyping process. Approaches to differentiation of access rights for different user roles are shown. Conformity of the received implementation to each selected optimality criterion is determined. Recommendations for further system development are given.
Mathematical omnibus thirty lectures on classic mathematics
Fuchs, Dmitry; Fuchs, Dmitry
2007-01-01
The book consists of thirty lectures on diverse topics, covering much of the mathematical landscape rather than focusing on one area. The reader will learn numerous results that often belong to neither the standard undergraduate nor graduate curriculum and will discover connections between classical and contemporary ideas in algebra, combinatorics, geometry, and topology. The reader's effort will be rewarded in seeing the harmony of each subject. The common thread in the selected subjects is their illustration of the unity and beauty of mathematics. Most lectures contain exercises, and solutions or answers are given to selected exercises. A special feature of the book is an abundance of drawings (more than four hundred), artwork by an accomplished artist, and about a hundred portraits of mathematicians. Almost every lecture contains surprises for even the seasoned researcher.
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Faramarz Ashenai Ghasemi
Full Text Available This paper presents analytical and mathematical modeling and optimization of the dynamic behavior of the fiber metal laminates (FMLs subjected to low-velocity impact. The deflection to thickness (w/h ratio has been identified through the governing equations of the plate that are solved using the first-order shear deformation theory as well as the Fourier series method. With the help of a two degrees-of-freedom system, consisting of springs-masses, and the Choi's linearized Hertzian contact model the interaction between the impactor and the plate is modeled. Thirty-one experiments are conducted on samples of different layer sequences and volume fractions of Al plies in the composite Structures. A reliable fitness function in the form of a strict linear mathematical function constructed. Using an ordinary least square method, response regression coefficients estimated and a zero-one programming technique proposed to optimize the FML plate behavior subjected to any technological or cost restrictions. The results indicated that FML plate behavior is highly affected by layer sequences and volume fractions of Al plies. The results also showed that, embedding Al plies at outer layers of the structure significantly results in a better response of the structure under low-velocity impact, instead of embedding them in the middle or middle and outer layers of the structure.
Braddick, Oliver; Atkinson, Janette; Newman, Erik; Akshoomoff, Natacha; Kuperman, Joshua M; Bartsch, Hauke; Chen, Chi-Hua; Dale, Anders M; Jernigan, Terry L
2016-12-01
Sensitivity to global visual motion has been proposed as a signature of brain development, related to the dorsal rather than ventral cortical stream. Thresholds for global motion have been found to be elevated more than for global static form in many developmental disorders, leading to the idea of "dorsal stream vulnerability." Here we explore the association of global motion thresholds with individual differences in children's brain development, in a group of typically developing 5- to 12-year-olds. Good performance was associated with a relative increase in parietal lobe surface area, most strongly around the intraparietal sulcus and decrease in occipital area. In line with the involvement of intraparietal sulcus, areas in visuospatial and numerical cognition, we also found that global motion performance was correlated with tests of visuomotor integration and numerical skills. Individual differences in global form detection showed none of these anatomical or cognitive correlations. This suggests that the correlations with motion sensitivity are unlikely to reflect general perceptual or attentional abilities required for both form and motion. We conclude that individual developmental variations in global motion processing are not linked to greater area in the extrastriate visual areas, which initially process such motion, but in the parietal systems that make decisions based on this information. The overlap with visuospatial and numerical abilities may indicate the anatomical substrate of the "dorsal stream vulnerability" proposed as characterizing neurodevelopmental disorders.
Murray, James D
1993-01-01
The book is a textbook (with many exercises) giving an in-depth account of the practical use of mathematical modelling in the biomedical sciences. The mathematical level required is generally not high and the emphasis is on what is required to solve the real biological problem. The subject matter is drawn, e.g. from population biology, reaction kinetics, biological oscillators and switches, Belousov-Zhabotinskii reaction, reaction-diffusion theory, biological wave phenomena, central pattern generators, neural models, spread of epidemics, mechanochemical theory of biological pattern formation and importance in evolution. Most of the models are based on real biological problems and the predictions and explanations offered as a direct result of mathematical analysis of the models are important aspects of the book. The aim is to provide a thorough training in practical mathematical biology and to show how exciting and novel mathematical challenges arise from a genuine interdisciplinary involvement with the biosci...
Introducing philosophy of mathematics
Friend, Michele
2014-01-01
What is mathematics about? Does the subject-matter of mathematics exist independently of the mind or are they mental constructions? How do we know mathematics? Is mathematical knowledge logical knowledge? And how is mathematics applied to the material world? In this introduction to the philosophy of mathematics, Michele Friend examines these and other ontological and epistemological problems raised by the content and practice of mathematics. Aimed at a readership with limited proficiency in mathematics but with some experience of formal logic it seeks to strike a balance between conceptual acc
Hosseinifar, Mohammad; Akbari, Asghar; Ghiasi, Fateme
2015-01-01
Introduction: Rehabilitative Ultrasound Imaging (RUSI) must be valuable method for research and rehabilitation. So, the reliability of its measurements must be determined. The purpose of this study was to evaluate the intra-rater reliability of RUSI for measurement of multifidus (MF) muscles cross section areas (CSAs), bladder wall diameter, and thickness of MF muscles between 2 sessions in healthy subjects. Method: Fifteen healthy subjects through simple non-probability sampling participated...
Rains, Cherri Sloan
2011-01-01
This study was an investigation of the effectiveness of mathematics instruction using the interactive whiteboard (IWB) for 1, 2, and 3 years. Guided by Gagne's conditions of learning theory, this program evaluation study investigated the impact of receiving 1, 2, or 3 years of mathematics instruction using the IWB on mathematics scores on the…
Jovanova-Mitkovska, Snezana; Popeska, Biljana
2015-01-01
Considering modern educationaltendency in the system of primary education that refers to the possibilities to establish integration-correlation relationship between educational contents from different teaching subjects in primary education, in this paper we made a theoretical elaboration of math and physical and health education contents as an approach that allow more efficient acquisition of knowledge and their efficient application in everyday life. The analyses of math and PHE curricula i...
Mathematical Modeling of Double-Skin Facade in Northern Area of China
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Zou Huifen
2013-01-01
Full Text Available This paper focuses on the operation principles of the double-skin facade (DSF in winter of severe cold area. The paper discussed the main influence factors of building energy consumption, including the heat storage cavity spacing, the air circulation mode, the building envelope, and the building orientation. First, we studied the relationship among the thermal storage cavity spacing, the temperature distribution in the cavity of the DSF, and the indoor temperature. Then, we discussed the influence on the ambient temperature in the building exerted by the air circulation system of the double-skin facade. Finally, we analyzed the influence on the whole building energy consumption of the DSF buildings under the situation of different building envelopes and different building orientations. Based on the results of the numerical simulation, the paper put forward an operation strategy analysis of the DSF buildings in severe cold area, in order to achieve the purpose of building energy saving.
Generalizing across stimuli as well as subjects: A non-mathematical tutorial on mixed-effects models
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Chang, Yu-Hsuan A.
2016-10-01
Full Text Available Although it has long been known that analyses that treat stimuli as a fixed effect do not permit generalization from the sample of stimuli to the population of stimuli, surprisingly little attention has been paid to this issue outside of the field of psycholinguistics. The purposes of the article are (a to present a non-technical explanation of why it is critical to provide a statistical basis for generalizing to both the population subjects and the population of stimuli and (b to provide instructions for doing analyses that allows this generalization using four common statistical analysis programs (JMP, R, SAS, and SPSS.
Discrete Mathematics and the Secondary Mathematics Curriculum.
Dossey, John
Discrete mathematics, the mathematics of decision making for finite settings, is a topic of great interest in mathematics education at all levels. Attention is being focused on resolving the diversity of opinion concerning the exact nature of the subject, what content the curriculum should contain, who should study that material, and how that…
Liu, Lewis G.
2011-01-01
This empirical research investigates subscription price variations of scholarly journals in five business subject-specific areas using the semilogarithmic regression model. It has two main purposes. The first is to address the unsettled debate over whether or not and to what extent commercial publishers reap monopoly profits by overcharging…
Xu, Di; Jaggars, Shanna S.
2014-01-01
Using a dataset containing nearly 500,000 courses taken by over 40,000 community and technical college students in Washington State, this study examines the performance gap between online and face-to-face courses and how the size of that gap differs across student subgroups and academic subject areas. While all types of students in the study…
Cooper, Robyn; Heaverlo, Carol
2013-01-01
For girls there is a distinct loss in interest, lack of confidence, and decline in positive attitudes toward STEM subject areas that begins early on in their academic experience and increases with age. According to the National Academy of Engineering, students need to begin associating the possibilities in STEM fields with the need for creativity…
Mastropasqua, Rodolfo; Toto, Lisa; Mattei, Peter A; Di Nicola, Marta; Zecca, Isaia A L; Carpineto, Paolo; Di Antonio, Luca
2017-05-11
To assess the reproducibility and repeatability of foveal avascular zone (FAZ) area measurements using swept-source optical coherence tomography angiography (SS-OCTA) in healthy subjects. Sixty-four eyes of 64 healthy volunteers were randomly subjected to FAZ area measurements using SS-OCTA by 2 examiners in 2 different sessions. The FAZ areas measured by the first and second observer were 0.269 ± 0.092 mm2 and 0.270 ± 0.090 mm2, respectively. Within subjects, the coefficients of variations were 2.44% (95% confidence interval [CI] 1.95% to 2.93%) and 2.66% (95% CI 2.00% to 3.31%) for the first and second observers, respectively. The coefficient of repeatability average measurements of FAZ area were 0.021 mm2 and 0.024 mm2. The intraclass correlation coefficient values were 0.993 (95% CI 0.989 to 0.996) and 0.991 (95% CI 0.986 to 0.995). Interobserver and intraobserver concordance correlation coefficients ranged from 0.998 (95% CI 0.997 to 0.999) to 0.999 (95% CI 0.998 to 0.999) and from 0.989 (95% CI 0.982 to 0.993) to 0.987 (95% CI 0.979 to 0.992), respectively. The FAZ area measurements by means of SS-OCTA showed high reproducibility and repeatability in healthy eyes.
Condylar volume and condylar area in class I, class II and class III young adult subjects
Saccucci Matteo; D’Attilio Michele; Rodolfino Daria; Festa Felice; Polimeni Antonella; Tecco Simona
2012-01-01
Abstract Aim Aim of this study was to compare the volume and the shape of mandibular condyles in a Caucasian young adult population, with different skeletal pattern. Material and methods 200 Caucasian patients (15–30 years old, 95 male and 105 females) were classified in three groups on the base of ANB angle: skeletal class I (65 patients), skeletal class II (70 patients) and skeletal class III (65 patients). Left and right TMJs of each subject were evaluated independently with CBCT (Iluma). ...
Directory of Open Access Journals (Sweden)
Andreas A Ioannides
2013-08-01
Full Text Available Cross-modal activity in visual cortex of blind subjects has been reported during performance of variety of non-visual tasks. A key unanswered question is through which pathways non-visual inputs are funneled to the visual cortex. Here we used tomographic analysis of single trial magnetoencephalography (MEG data recorded from one congenitally blind and two sighted subjects after stimulation of the left and right median nerves at three intensities: below sensory threshold, above sensory threshold and above motor threshold; the last sufficient to produce thumb twitching. We identified reproducible brain responses in the primary somatosensory (S1 and motor (M1 cortices at around 20 ms post-stimulus, which were very similar in sighted and blind subjects. Time-frequency analysis revealed strong 45 to 70 Hz activity at latencies of 20 to 50 ms in S1 and M1, and posterior parietal cortex Brodmann areas (BA 7 and 40, which compared to lower frequencies, were substantially more pronounced in the blind than the sighted subjects. Critically, at frequencies from α-band up to 100 Hz we found clear, strong and widespread responses in the visual cortex of the blind subject, which increased with the intensity of the somatosensory stimuli. Time-delayed mutual information (MI revealed that in blind subject the stimulus information is funneled from the early somatosensory to visual cortex through posterior parietal BA 7 and 40, projecting first to visual areas V5 and V3, and eventually V1. The flow of information through this pathway occured in stages characterized by convergence of activations into specific cortical regions. In sighted subjects, no linked activity was found that led from the somatosensory to the visual cortex through any of the studied brain regions. These results provide the first evidence from MEG that in blind subjects, tactile information is routed from primary somatosensory to occipital cortex via the posterior parietal cortex.
Ioannides, Andreas A; Liu, Lichan; Poghosyan, Vahe; Saridis, George A; Gjedde, Albert; Ptito, Maurice; Kupers, Ron
2013-01-01
Cross-modal activity in visual cortex of blind subjects has been reported during performance of variety of non-visual tasks. A key unanswered question is through which pathways non-visual inputs are funneled to the visual cortex. Here we used tomographic analysis of single trial magnetoencephalography (MEG) data recorded from one congenitally blind and two sighted subjects after stimulation of the left and right median nerves at three intensities: below sensory threshold, above sensory threshold and above motor threshold; the last sufficient to produce thumb twitching. We identified reproducible brain responses in the primary somatosensory (S1) and motor (M1) cortices at around 20 ms post-stimulus, which were very similar in sighted and blind subjects. Time-frequency analysis revealed strong 45-70 Hz activity at latencies of 20-50 ms in S1 and M1, and posterior parietal cortex Brodmann areas (BA) 7 and 40, which compared to lower frequencies, were substantially more pronounced in the blind than the sighted subjects. Critically, at frequencies from α-band up to 100 Hz we found clear, strong, and widespread responses in the visual cortex of the blind subject, which increased with the intensity of the somatosensory stimuli. Time-delayed mutual information (MI) revealed that in blind subject the stimulus information is funneled from the early somatosensory to visual cortex through posterior parietal BA 7 and 40, projecting first to visual areas V5 and V3, and eventually V1. The flow of information through this pathway occurred in stages characterized by convergence of activations into specific cortical regions. In sighted subjects, no linked activity was found that led from the somatosensory to the visual cortex through any of the studied brain regions. These results provide the first evidence from MEG that in blind subjects, tactile information is routed from primary somatosensory to occipital cortex via the posterior parietal cortex.
Cross-Modal Recruitment of Auditory and Orofacial Areas During Sign Language in a Deaf Subject.
Martino, Juan; Velasquez, Carlos; Vázquez-Bourgon, Javier; de Lucas, Enrique Marco; Gomez, Elsa
2017-09-01
Modern sign languages used by deaf people are fully expressive, natural human languages that are perceived visually and produced manually. The literature contains little data concerning human brain organization in conditions of deficient sensory information such as deafness. A deaf-mute patient underwent surgery of a left temporoinsular low-grade glioma. The patient underwent awake surgery with intraoperative electrical stimulation mapping, allowing direct study of the cortical and subcortical organization of sign language. We found a similar distribution of language sites to what has been reported in mapping studies of patients with oral language, including 1) speech perception areas inducing anomias and alexias close to the auditory cortex (at the posterior portion of the superior temporal gyrus and supramarginal gyrus); 2) speech production areas inducing speech arrest (anarthria) at the ventral premotor cortex, close to the lip motor area and away from the hand motor area; and 3) subcortical stimulation-induced semantic paraphasias at the inferior fronto-occipital fasciculus at the temporal isthmus. The intraoperative setup for sign language mapping with intraoperative electrical stimulation in deaf-mute patients is similar to the setup described in patients with oral language. To elucidate the type of language errors, a sign language interpreter in close interaction with the neuropsychologist is necessary. Sign language is perceived visually and produced manually; however, this case revealed a cross-modal recruitment of auditory and orofacial motor areas. Copyright © 2017 Elsevier Inc. All rights reserved.
Geroch, Robert
1985-01-01
Mathematical Physics is an introduction to such basic mathematical structures as groups, vector spaces, topological spaces, measure spaces, and Hilbert space. Geroch uses category theory to emphasize both the interrelationships among different structures and the unity of mathematics. Perhaps the most valuable feature of the book is the illuminating intuitive discussion of the ""whys"" of proofs and of axioms and definitions. This book, based on Geroch's University of Chicago course, will be especially helpful to those working in theoretical physics, including such areas as relativity, particle
Yamaura, Yuichi; Connor, Edward F.; Royle, Andy; Itoh, Katsuo; Sato, Kiyoshi; Taki, Hisatomo; Mishima, Yoshio
2016-01-01
Models and data used to describe species–area relationships confound sampling with ecological process as they fail to acknowledge that estimates of species richness arise due to sampling. This compromises our ability to make ecological inferences from and about species–area relationships. We develop and illustrate hierarchical community models of abundance and frequency to estimate species richness. The models we propose separate sampling from ecological processes by explicitly accounting for the fact that sampled patches are seldom completely covered by sampling plots and that individuals present in the sampling plots are imperfectly detected. We propose a multispecies abundance model in which community assembly is treated as the summation of an ensemble of species-level Poisson processes and estimate patch-level species richness as a derived parameter. We use sampling process models appropriate for specific survey methods. We propose a multispecies frequency model that treats the number of plots in which a species occurs as a binomial process. We illustrate these models using data collected in surveys of early-successional bird species and plants in young forest plantation patches. Results indicate that only mature forest plant species deviated from the constant density hypothesis, but the null model suggested that the deviations were too small to alter the form of species–area relationships. Nevertheless, results from simulations clearly show that the aggregate pattern of individual species density–area relationships and occurrence probability–area relationships can alter the form of species–area relationships. The plant community model estimated that only half of the species present in the regional species pool were encountered during the survey. The modeling framework we propose explicitly accounts for sampling processes so that ecological processes can be examined free of sampling artefacts. Our modeling approach is extensible and could be applied
Hougardy, Stefan
2016-01-01
Algorithms play an increasingly important role in nearly all fields of mathematics. This book allows readers to develop basic mathematical abilities, in particular those concerning the design and analysis of algorithms as well as their implementation. It presents not only fundamental algorithms like the sieve of Eratosthenes, the Euclidean algorithm, sorting algorithms, algorithms on graphs, and Gaussian elimination, but also discusses elementary data structures, basic graph theory, and numerical questions. In addition, it provides an introduction to programming and demonstrates in detail how to implement algorithms in C++. This textbook is suitable for students who are new to the subject and covers a basic mathematical lecture course, complementing traditional courses on analysis and linear algebra. Both authors have given this "Algorithmic Mathematics" course at the University of Bonn several times in recent years.
Magneto encephalography (MEG: perspectives of speech areas functional mapping in human subjects
Directory of Open Access Journals (Sweden)
Butorina A. V.
2012-06-01
Full Text Available One of the main problems in clinical practice and academic research is how to localize speech zones in the human brain. Two speech areas (Broca and Wernicke areas that are responsible for language production and for understanding of written and spoken language have been known since the past century. Their location and even hemispheric lateralization have a substantial inter-individual variability, especially in neurosurgery patients. Wada test is one of the most frequently used invasive methodology for speech hemispheric lateralization in neurosurgery patients. However, besides relatively high-risk of Wada test for patient's health, it has its own limitation, e. g. low reliability of Wada-based evidence of verbal memory brain lateralization. Therefore, there is an urgent need for non-invasive, reliable methods of speech zones mapping.The current review summarizes the recent experimental evidence from magnitoencephalographic (MEG research suggesting that speech areas are included in the speech processing within the first 200 ms after the word onset. The electro-magnetic response to deviant word, mismatch negativity wave with latency of 100—200 ms, can be recorded from auditory cortex within the oddball-paradigm. We provide the arguments that basic features of this brain response, such as its automatic, pre-attentive nature, high signal to noise ratio, source localization at superior temporal sulcus, make it a promising vehicle for non-invasive MEG-based speech areas mapping in neurosurgery.
Tinungki, Georgina Maria
2015-01-01
The importance of learning mathematics can not be separated from its role in all aspects of life. Communicating ideas by using mathematics language is even more practical, systematic, and efficient. In order to overcome the difficulties of students who have insufficient understanding of mathematics material, good communications should be built in…
Pest control managers can benefit from using mathematical approaches, particularly models, when implementing area-wide pest control programs that include sterile insect technique (SIT), especially when these are used to calculate required rates of sterile releases to result in suppression or eradica...
Subject-specific computational modeling of DBS in the PPTg area
Zitella, Laura M.; Teplitzky, Benjamin A.; Yager, Paul; Hudson, Heather M.; Brintz, Katelynn; Duchin, Yuval; Harel, Noam; Vitek, Jerrold L.; Baker, Kenneth B.; Johnson, Matthew D.
2015-01-01
Deep brain stimulation (DBS) in the pedunculopontine tegmental nucleus (PPTg) has been proposed to alleviate medically intractable gait difficulties associated with Parkinson's disease. Clinical trials have shown somewhat variable outcomes, stemming in part from surgical targeting variability, modulating fiber pathways implicated in side effects, and a general lack of mechanistic understanding of DBS in this brain region. Subject-specific computational models of DBS are a promising tool to investigate the underlying therapy and side effects. In this study, a parkinsonian rhesus macaque was implanted unilaterally with an 8-contact DBS lead in the PPTg region. Fiber tracts adjacent to PPTg, including the oculomotor nerve, central tegmental tract, and superior cerebellar peduncle, were reconstructed from a combination of pre-implant 7T MRI, post-implant CT, and post-mortem histology. These structures were populated with axon models and coupled with a finite element model simulating the voltage distribution in the surrounding neural tissue during stimulation. This study introduces two empirical approaches to evaluate model parameters. First, incremental monopolar cathodic stimulation (20 Hz, 90 μs pulse width) was evaluated for each electrode, during which a right eyelid flutter was observed at the proximal four contacts (−1.0 to −1.4 mA). These current amplitudes followed closely with model predicted activation of the oculomotor nerve when assuming an anisotropic conduction medium. Second, PET imaging was collected OFF-DBS and twice during DBS (two different contacts), which supported the model predicted activation of the central tegmental tract and superior cerebellar peduncle. Together, subject-specific models provide a framework to more precisely predict pathways modulated by DBS. PMID:26236229
Subject-specific computational modeling of DBS in the PPTg area
Directory of Open Access Journals (Sweden)
Laura M. Zitella
2015-07-01
Full Text Available Deep brain stimulation (DBS in the pedunculopontine tegmental nucleus (PPTg has been proposed to alleviate medically intractable gait difficulties associated with Parkinson’s disease. Clinical trials have shown somewhat variable outcomes, stemming in part from surgical targeting variability, modulating fiber pathways implicated in side effects, and a general lack of mechanistic understanding of DBS in this brain region. Subject-specific computational models of DBS are a promising tool to investigate the underlying therapy and side effects. In this study, a parkinsonian rhesus macaque was implanted unilaterally with an 8-contact DBS lead in the PPTg region. Fiber tracts adjacent to PPTg, including the oculomotor nerve, central tegmental tract, and superior cerebellar peduncle, were reconstructed from a combination of pre-implant 7T MRI, post-implant CT, and post-mortem histology. These structures were populated with axon models and coupled with a finite element model simulating the voltage distribution in the surrounding neural tissue during stimulation. This study introduces two empirical approaches to evaluate model parameters. First, incremental monopolar cathodic stimulation (20Hz, 90µs pulse width was evaluated for each electrode, during which a right eyelid flutter was observed at the proximal four contacts (-1.0 to -1.4mA. These current amplitudes followed closely with model predicted activation of the oculomotor nerve when assuming an anisotropic conduction medium. Second, PET imaging was collected OFF-DBS and twice during DBS (two different contacts, which supported the model predicted activation of the central tegmental tract and superior cerebellar peduncle. Together, subject-specific models provide a framework to more precisely predict pathways modulated by DBS.
Straffon, Elizabeth
The purpose of this study was to investigate factors that affect the extent of international secondary students' participation in International Baccalaureate science and mathematics courses. The factors examined were gender, home region, size, percent host culture and age of the program, and coeducational and legal status of the school. Participation in math and science subjects was determined by analyzing the level and number of courses taken by students taking International Baccalaureate exams in 2010. Chi-Square and Cramer's V analysis were used to measure the effect of categorical variables on student participation and One-Way ANOVA and Bonferroni comparison of means were used to analyze the quantitative variables. All categorical variables were statistically significant (pNew Zealand, Northern Europe, East Africa and South-Central and Western Asia. State schools showed higher math and science participation. Science and math participation was also greater in all-male schools though associations were weak. Boys participated more than girls, especially in math. All quantitative variables were statistically significant. The program size had the largest effect size for both math and science with larger programs showing more participation at the higher level. A decreasing trend for age of the program and percent host culture was found for math participation. Three years of participation data were collected from an international school in Western Europe (n = 194). Variables included the influence of parent occupation, math preparedness (PSAT-Math), student achievement (GPA), and the importance of significant others in career and academic decisions. Findings indicate that performance on the PSAT- Math was the most important predictor of both science and mathematics participation. Twenty students were also interviewed. Results showed the importance of several key factors. These include the role of parents in student academic and career decisions, the importance of
Mathematics for Life: Sustainable Mathematics Education
Renert, Moshe
2011-01-01
Ecological sustainability has not been a major focus of mathematics education research, even though it has attracted considerable attention in other areas of educational research in the past decade. The connections between mathematics education and ecological sustainability are not readily apparent. This paper explores how mathematics educators…
Modelling of E. coli distribution in coastal areas subjected to combined sewer overflows.
De Marchis, Mauro; Freni, Gabriele; Napoli, Enrico
2013-01-01
Rivers, lakes and the sea were the natural receivers of raw urban waste and storm waters for a long time but the low sustainability of such practice, the increase of population and a renewed environmental sensibility increased researcher interest in the analysis and mitigation of the impact of urban waters on receiving water bodies (RWB). In Europe, the integrated modelling of drainage systems and RWB has been promoted as a promising approach for implementing the Water Framework Directive. A particular interest is given to the fate of pathogens and especially of Escherichia coli, in all the cases in which an interaction between population and the RWB is foreseen. The present paper aims to propose an integrated water quality model involving the analysis of several sewer systems (SS) discharging their polluting overflows on the coast in a sensitive marine environment. From a modelling point of view, the proposed application integrated one-dimensional drainage system models with a complex three-dimensional model analysing the propagation in space and time of E. coli in the coastal marine area. The integrated approach was tested in a real case study (the Acicastello bay in Italy) where data were available both for SS model and for RWB propagation model calibration. The analysis shows a good agreement between the model and monitored data. The integrated model was demonstrated to be a valuable tool for investigating the pollutant propagation and to highlight the most impacted areas.
2016-01-01
This book provides a thorough introduction to the challenge of applying mathematics in real-world scenarios. Modelling tasks rarely involve well-defined categories, and they often require multidisciplinary input from mathematics, physics, computer sciences, or engineering. In keeping with this spirit of modelling, the book includes a wealth of cross-references between the chapters and frequently points to the real-world context. The book combines classical approaches to modelling with novel areas such as soft computing methods, inverse problems, and model uncertainty. Attention is also paid to the interaction between models, data and the use of mathematical software. The reader will find a broad selection of theoretical tools for practicing industrial mathematics, including the analysis of continuum models, probabilistic and discrete phenomena, and asymptotic and sensitivity analysis.
Bonito, Andrea; Ricotta, Carlo; Iberite, Mauro; Gratani, Loretta; Varone, Laura
2017-09-01
Coastal sand dunes are among the most threatened habitats, especially in the Mediterranean Basin, where the high levels of human pressure impair the presence of plant species, putting at risk the maintenance of the ecosystem services, such as CO2 sequestration provided by these habitats. The aim of this study was to analyze how disturbance-induced changes in plant species abundance patterns account for variations in annual CO2 sequestration flow (CS) of Mediterranean sand dune areas. Two sites characterized by a high (site HAD) and a lower (site LAD) anthropogenic disturbance level were selected. At both sites, plant species number, cover, height and CS based on net photosynthesis measurements were sampled. At the plant species level, our results highlighted that Ammophila arenaria and Pancratium maritimum, had a key role in CS. Moreover, the results revealed a patchy species assemblage in both sites. In particular, HAD was characterized by a higher extension of the anthropogenic aphytoic zone (64% of the total transect length) than LAD. In spite of the observed differences in plant species composition, there were not significant differences between HAD and LAD in structural and functional traits, such as plant height and net photosynthesis. As a consequence, HAD and LAD had a similar CS (443 and 421 Mg CO2 ha-1 y-1, respectively). From a monetary point of view, our estimates based on the social costs of carbon revealed that the flow of sequestered CO2 valued on an average 3181 ± 114 ha-1 year-1 (mean value for the two sites). However, considering also the value of the CO2 negative flow related to loss of vegetated area, the annual net benefit arising from CO2 sequestration amounted to 1641 and 1772 for HAD and LAD, respectively. Overall, the results highlighted the importance to maximize the efforts to preserve dune habitats by applying an effective management policy, which could allow maintaining also a regulatory ecosystem service such as CO2 sequestration.
Saito, Tami; Sugisawa, Hidehiro; Harada, Ken; Kai, Ichiro
2016-05-23
Subjective well-being (SWB) of older adults could be affected by both individual and community characteristics. However, the effect of community characteristics, such as population aging in local areas, remains unclear. This study examined the cross-sectional and longitudinal associations between the area-level population aging and SWB of older individuals from two distinct surveys. Those analyzed were 572 respondents aged 75 years and older for a cross-sectional survey in a metropolitan area in Tokyo, Japan (Study 1) and 1,257 and 859 respondents for a cross-sectional and longitudinal analysis, respectively, for a 2-year longitudinal survey project in urban and rural areas of Fukui Prefecture (Study 2). Area-level population aging was assessed by the number of people aged 65 years or older per 100 residents. SWB was assessed with the Life Satisfaction Index-A (LSIA). Multilevel analysis was performed to examine unconditional and conditional associations between the area-level number of older adults per 100 residents and the individual-level LSIA scores. The area-level number of older adults per 100 residents was significantly and positively associated with the LSIA scores in Study 1 (p = 0.042), even after controlling for the area- and individual-level covariates. In Study 2, we also found a significant effect of the area-level number of older adults per 100 residents on LSIA scores in the longitudinal multivariate analysis (p = 0.049). Findings from two survey projects suggested cross-validity in the positive effect of area-level population aging on older adults' SWB. Policymakers should consider older citizens' SWB in the recent urban-to-rural migration governmental policy as well as in urban renovation planning.
8th Latin American School of Mathematics
Figueiredo, Djairo; Iório, Rafael; Lopes, Orlando
1988-01-01
The Latin American School of Mathematics (ELAM) is one of the most important mathematical events in Latin America. It has been held every other year since 1968 in a different country of the region, and its theme varies according to the areas of interest of local research groups. The subject of the 1986 school was Partial Differential Equations with emphasis on Microlocal Analysis, Scattering Theory and the applications of Nonlinear Analysis to Elliptic Equations and Hamiltonian Systems.
Directory of Open Access Journals (Sweden)
Lina Siaudvytyte
2014-01-01
Full Text Available Purpose. To assess differences in translaminar pressure gradient (TPG and neuroretinal rim area (NRA in patients with normal tension glaucoma (NTG, high tension glaucoma (HTG, and healthy controls. Methods. 27 patients with NTG, HTG, and healthy controls were included in the prospective pilot study (each group consisted of 9 patients. Intraocular pressure (IOP, intracranial pressure (ICP, and confocal laser scanning tomography were assessed. TPG was calculated as the difference of IOP minus ICP. ICP was measured using noninvasive two-depth transcranial Doppler device. The level of significance P 0.05. The difference between TPG for healthy (5.4(7.7 mmHg and glaucomatous eyes (NTG 6.3(3.1 mmHg, HTG 15.7(7.7 mmHg was statistically significant (P < 0.001. Higher TPG was correlated with decreased NRA (r = −0.83; P = 0.01 in the NTG group. Conclusion. Translaminar pressure gradient was higher in glaucoma patients. Reduction of NRA was related to higher TPG in NTG patients. Further prospective studies are warranted to investigate the involvement of TPG in glaucoma management.
Mathematical and statistical analysis
Houston, A. Glen
1988-01-01
The goal of the mathematical and statistical analysis component of RICIS is to research, develop, and evaluate mathematical and statistical techniques for aerospace technology applications. Specific research areas of interest include modeling, simulation, experiment design, reliability assessment, and numerical analysis.
Journal of applied mathematics
National Research Council Canada - National Science Library
2001-01-01
"[The] Journal of Applied Mathematics is a refereed journal devoted to the publication of original research papers and review articles in all areas of applied, computational, and industrial mathematics...
Mendick, Heather
2006-01-01
The study of mathematics, with other ''gendered'' subjects such as science and engineering, usually attracts more male than female pupils. This book explores this phenomenon, addressing the important question of why more boys than girls choose to study mathematics. It illuminates what studying mathematics means for both students and teachers.
Mathematical picture language program.
Jaffe, Arthur M; Liu, Zhengwei
2018-01-02
We give an overview of our philosophy of pictures in mathematics. We emphasize a bidirectional process between picture language and mathematical concepts: abstraction and simulation. This motivates a program to understand different subjects, using virtual and real mathematical concepts simulated by pictures. Copyright © 2017 the Author(s). Published by PNAS.
Proceedings (Mathematical Sciences) SUBJECT INDEX
Indian Academy of Sciences (India)
Sobolev spaces associated to the harmonic oscillator. 337. Hilbert matrix. Inequalities involving upper bounds for certain matrix operators. 325. Hilbert modules. Generalized unitaries and the Picard group. 429. Hilbert space. On Nyman, Beurling and Baez-Duarte's. Hilbert space reformulation of the Rie- mann hypothesis.
Proceedings (Mathematical Sciences) SUBJECT INDEX
Indian Academy of Sciences (India)
R. Narasimhan (Krishtel eMaging) 1461 1996 Oct 15 13:05:22
perforated domain with Dirichlet boundary condition. 425. Deformed sphere. Stokes flow with slip and Kuwabara bound- ary conditions. 463. Degree of a map. Two-dimensional weak pseudomanifolds on eight vertices. 257. δM -invariant. A basic inequality for submanifolds in locally conformal almost cosymplectic manifolds.
Proceedings (Mathematical Sciences) SUBJECT INDEX
Indian Academy of Sciences (India)
R. Narasimhan (Krishtel eMaging) 1461 1996 Oct 15 13:05:22
Some approximation theorems. 87. Automorphic form. Reduction theory for a rational function field. 153. Banach algebra. Questions concerning matrix algebras and ... Euler–Maclaurin summation formula. Analogues of Euler and Poisson summa- tion formulae. 213. Exponential energy decay. Uniform stability of damped ...
Proceedings (Mathematical Sciences) SUBJECT INDEX
Indian Academy of Sciences (India)
Abelian groups. A variant of Davenport's constant. 147. Additive mapping. On the stability of Jensen's functional equation on groups. 31. Analytic functions. On Eneström–Kakeya theorem and related analytic functions. 359. A-net. On the problem of isometry of a hypersur- face preserving mean curvature. 49. Arithmetical ...
Proceedings (Mathematical Sciences) SUBJECT INDEX
Indian Academy of Sciences (India)
67. Explicit formula. Large time behaviour of solutions of a sys- tem of generalized Burgers equation 509. Extension spaces. Fixed point theory for composite maps on almost dominating extension spaces 339. Fatou property. Basic topological and geometric properties of Ces`aro–Orlicz spaces. 461. Finite amplitude motions.
Proceedings (Mathematical Sciences) SUBJECT INDEX
Indian Academy of Sciences (India)
New inequalities for the Hurwitz zeta func- tion. 495. Dirichlet problem. On existence and stability of solutions for higher order semilinear Dirichlet problems. 627. Discrete approximation. Approximation of quantum Lévy processes by quantum random walks. 281. Distance condition. Decomposition and removability proper-.
Proceedings (Mathematical Sciences) SUBJECT INDEX
Indian Academy of Sciences (India)
metric sums. 411. Asymptotics. A further note on the force discrepancy for wing theory in Euler flow. 679. Atkin–Lehner theory. Orthogonality and Hecke operators .... synectic lift of a Riemannian metric 345. Injective tensor products. Riesz isomorphisms of tensor products of order unit Banach spaces. 383. Integral transforms.
Proceedings (Mathematical Sciences) SUBJECT INDEX
Indian Academy of Sciences (India)
Rigidity of minimal submanifolds with flat normal bundle. 457. Min-max property. John disks, the Apollonian metric, and min-max properties. 83. Mixed norm. Mixed norm estimate for Radon transform on weighted Lp spaces. 441. Modular equation. Theta function identities associated with Ramanujan's modular equations of.
Proceedings (Mathematical Sciences) SUBJECT INDEX
Indian Academy of Sciences (India)
C*-enveloping algebra. Topological *-algebras with C*-enveloping algebras II. 65. Calderón–Lozanowski space. On property (β) in Banach lattices, Calderón–. Lozanowskii and Orlicz–Lorentz spaces. 319. Caratheodory function. Periodic and boundary value problems for second order differential equations. 107. Character.
Hiraga, Masao; Ikeda, Kei; Shigeta, Koichiro; Sato, Akito; Yoshitama, Tamami; Hara, Ryota; Tanaka, Yasuhito
2015-05-01
Assessment of synovitis in the metatarsophalangeal (MTP) joints with ultrasound has been shown to improve the accuracy of assessment of rheumatoid arthritis (RA). However, the presence of intraarticular low-echoic synovial area (LESA) in the MTP joints in healthy subjects complicates the sonographic assessment of these joints. Healthy subjects with no arthritic symptoms in their MTP joints were recruited. All subjects completed a questionnaire and underwent physical examination and sonographic assessment. LESAs in the dorsal aspect of all MTP joints were measured in the longitudinal view. One thousand non-arthritic MTP joints in 100 healthy subjects (female 73, mean age 41.0 years old) were evaluated. Measurable LESAs were identified in all joints assessed. Mean length of LESA in each of the 1st-5th MTP joints was 17.8, 13.9, 11.9, 10.6, and 9.2 mm, respectively, whereas mean thickness was 2.4, 2.4, 1.8, 1.2, and 0.8 mm, respectively. Multivariate linear regression models identified the difference between 1st and 5th MTP joints as the most independently influential factor on the measurement of LESA. Our data provide the normal reference values for the measurements of LESA in Japanese, which should be taken into consideration when the synovitis in MTP joints is evaluated with ultrasound.
Flores-Rodríguez, Patricia; Gili, Pablo; Martín-Ríos, María Dolores; Grifol-Clar, Eulalia
2013-03-01
To compare optic disc area measurement between optic nerve head drusen (ONHD) and control subjects using fundus photography, time-domain optical coherence tomography (TD-OCT) and spectral-domain optical coherence tomography (SD-OCT). We also made a comparison between each of the three techniques. We performed our study on 66 eyes (66 patients) with ONHD and 70 healthy control subjects (70 controls) with colour ocular fundus photography at 20º (Zeiss FF 450 IR plus), TD-OCT (Stratus OCT) with the Fast Optic Disc protocol and SD-OCT (Cirrus OCT) with the Optic Disc Cube 200 × 200 protocol for measurement of the optic disc area. The measurements were made by two observers and in each measurement a correction of the image magnification factor was performed. Measurement comparison using the Student's t-test/Mann-Whitney U test, the intraclass correlation coefficient, Pearson/Spearman rank correlation coefficient and the Bland-Altman plot was performed in the statistical analysis. Mean and standard deviation (SD) of the optic disc area in ONHD and in controls was 2.38 (0.54) mm(2) and 2.54 (0.42) mm(2), respectively with fundus photography; 2.01 (0.56) mm(2) and 1.66 (0.37) mm(2), respectively with TD-OCT, and 2.03 (0.49) mm(2) and 1.75 (0.38) mm(2), respectively with SD-OCT. In ONHD and controls, repeatability of optic disc area measurement was excellent with fundus photography and optical coherence tomography (TD-OCT and SD-OCT), but with a low degree of agreement between both techniques. Optic disc area measurement is smaller in ONHD compared to healthy subjects with fundus photography, unlike time-domain and spectral-domain optical coherence tomography in which the reverse is true. Both techniques offer good repeatability, but a low degree of correlation and agreement, which means that optic disc area measurement is not interchangeable or comparable between techniques. Ophthalmic & Physiological Optics © 2013 The College of Optometrists.
Cahill, Kevin
2013-01-01
Unique in its clarity, examples and range, Physical Mathematics explains as simply as possible the mathematics that graduate students and professional physicists need in their courses and research. The author illustrates the mathematics with numerous physical examples drawn from contemporary research. In addition to basic subjects such as linear algebra, Fourier analysis, complex variables, differential equations and Bessel functions, this textbook covers topics such as the singular-value decomposition, Lie algebras, the tensors and forms of general relativity, the central limit theorem and Kolmogorov test of statistics, the Monte Carlo methods of experimental and theoretical physics, the renormalization group of condensed-matter physics and the functional derivatives and Feynman path integrals of quantum field theory.
Fractal geometry mathematical foundations and applications
Falconer, Kenneth
2013-01-01
The seminal text on fractal geometry for students and researchers: extensively revised and updated with new material, notes and references that reflect recent directions. Interest in fractal geometry continues to grow rapidly, both as a subject that is fascinating in its own right and as a concept that is central to many areas of mathematics, science and scientific research. Since its initial publication in 1990 Fractal Geometry: Mathematical Foundations and Applications has become a seminal text on the mathematics of fractals. The book introduces and develops the general theory and applica
The nature and power of mathematics
Davis, Donald M
2004-01-01
This captivating book explains some of mathematics' most fascinating ideas to nonspecialists. It explores items of philosophical and historical interest, discusses the often-surprising applicability of mathematics, and reveals the subject's intrinsic beauty. Author Donald M. Davis focuses on three main areas: non-Euclidean geometry, a basis for relativity theory; number theory, a major component of cryptography; and fractals, the key elements of computer-generated art. He also discusses related topics, such as the relevance of Greek mathematics to Kepler's laws of planetary motion, and the th
Mathematics Self-Efficacy and Flow in Developmental Mathematics Students
Golnabi, Laura
2017-01-01
This study examined mathematics self-efficacy and the characteristics of flow in the context of performing mathematical tasks. In particular, it explored the subjective experiences of 113 undergraduate students enrolled in a developmental mathematics course while they were independently solving certain mathematical problems. This study…
Directory of Open Access Journals (Sweden)
Mark Daniel Lescroart
2015-11-01
Full Text Available Perception of natural visual scenes activates several functional areas in the human brain, including the Parahippocampal Place Area (PPA, Retrosplenial Complex (RSC, and the Occipital Place Area (OPA. It is currently unclear what specific scene-related features are represented in these areas. Previous studies have suggested that PPA, RSC, and/or OPA might represent at least three qualitatively different classes of features: (1 2D features related to Fourier power; (2 3D spatial features such as the distance to objects in a scene; or (3 abstract features such as the categories of objects in a scene. To determine which of these hypotheses best describes the visual representation in scene-selective areas, we applied voxel-wise modeling (VM to BOLD fMRI responses elicited by a set of 1,386 images of natural scenes. VM provides an efficient method for testing competing hypotheses by comparing predictions of brain activity based on encoding models that instantiate each hypothesis. Here we evaluated three different encoding models that instantiate each of the three hypotheses listed above. We used linear regression to fit each encoding model to the fMRI data recorded from each voxel, and we evaluated each fit model by estimating the amount of variance it predicted in a withheld portion of the data set. We found that voxel-wise models based on Fourier power or the subjective distance to objects in each scene predicted much of the variance predicted by a model based on object categories. Furthermore, the response variance explained by these three models is largely shared, and the individual models explain little unique variance in responses. Based on an evaluation of previous studies and the data we present here, we conclude that there is currently no good basis to favor any one of the three alternative hypotheses about visual representation in scene-selective areas. We offer suggestions for further studies that may help resolve this issue.
Lescroart, Mark D.; Stansbury, Dustin E.; Gallant, Jack L.
2015-01-01
Perception of natural visual scenes activates several functional areas in the human brain, including the Parahippocampal Place Area (PPA), Retrosplenial Complex (RSC), and the Occipital Place Area (OPA). It is currently unclear what specific scene-related features are represented in these areas. Previous studies have suggested that PPA, RSC, and/or OPA might represent at least three qualitatively different classes of features: (1) 2D features related to Fourier power; (2) 3D spatial features such as the distance to objects in a scene; or (3) abstract features such as the categories of objects in a scene. To determine which of these hypotheses best describes the visual representation in scene-selective areas, we applied voxel-wise modeling (VM) to BOLD fMRI responses elicited by a set of 1386 images of natural scenes. VM provides an efficient method for testing competing hypotheses by comparing predictions of brain activity based on encoding models that instantiate each hypothesis. Here we evaluated three different encoding models that instantiate each of the three hypotheses listed above. We used linear regression to fit each encoding model to the fMRI data recorded from each voxel, and we evaluated each fit model by estimating the amount of variance it predicted in a withheld portion of the data set. We found that voxel-wise models based on Fourier power or the subjective distance to objects in each scene predicted much of the variance predicted by a model based on object categories. Furthermore, the response variance explained by these three models is largely shared, and the individual models explain little unique variance in responses. Based on an evaluation of previous studies and the data we present here, we conclude that there is currently no good basis to favor any one of the three alternative hypotheses about visual representation in scene-selective areas. We offer suggestions for further studies that may help resolve this issue. PMID:26594164
Najman, Laurent
2013-01-01
Mathematical Morphology allows for the analysis and processing of geometrical structures using techniques based on the fields of set theory, lattice theory, topology, and random functions. It is the basis of morphological image processing, and finds applications in fields including digital image processing (DSP), as well as areas for graphs, surface meshes, solids, and other spatial structures. This book presents an up-to-date treatment of mathematical morphology, based on the three pillars that made it an important field of theoretical work and practical application: a solid theoretical foun
Attard, Catherine
2011-09-01
The levels of engagement in mathematics experienced by students during the middle years of schooling (Years 5 to 8 in New South Wales) has been of concern in Australia for some years. Lowered engagement in school has been attributed to factors such as inappropriate teaching strategies, curricula that is unchallenging and irrelevant, and cultural and technological conditions that continue to evolve (Sullivan et al. Australian Journal of Education 53(2):176-191, 2009). There is currently a gap in this field of research in terms of a lack of longitudinal studies conducted in an Australian context that feature students' voices and their perceptions of mathematics teaching and learning during the middle years. As part of a qualitative longitudinal case study spanning 3 school years, 20 students in their final year of primary school (aged between 11 and 12 years) were asked to provide their views on mathematics teaching and learning. The aim of the study was to explore the students' perspectives of mathematics teaching and learning to discover pedagogies that engage the students. During focus group discussions and individual interviews the students discussed qualities of a "good" mathematics teacher and aspects of "good" lessons. These were found to resonate well with current Australian quality teaching frameworks. The findings of this study indicate that students in the middle years are critically aware of pedagogies that lead to engagement in mathematics, and existing standards and frameworks should be used as a starting point for quality teaching of mathematics.
Hosseinifar, Mohammad; Akbari, Asghar; Ghiasi, Fateme
2015-07-07
Rehabilitative Ultrasound Imaging (RUSI) must be valuable method for research and rehabilitation. So, the reliability of its measurements must be determined. The purpose of this study was to evaluate the intra-rater reliability of RUSI for measurement of multifidus (MF) muscles cross section areas (CSAs), bladder wall diameter, and thickness of MF muscles between 2 sessions in healthy subjects. Fifteen healthy subjects through simple non-probability sampling participated in this single-group repeated-measures reliability study. MF muscles thickness at rest and during contraction, MF muscles CSAs at rest, and bladder diameters at rest and during pelvic floor muscles (PFM) contraction were measured through RUSI. Pearson's correlation coefficient test was used to determine intra-rater reliability of variables. The results showed that intra-class correlation Coefficient (ICCs) values with 95% confidence interval (CI) and the standard error of the measurement (SEM) were good to excellent agreement for a single investigator between measurement occasions. The intra-rater reliability for the bladder wall displacement was high (ICCs for rest and PFM contraction state: 0.96 and 0.95 respectively), for the MF muscles CSAs at the L4 level was good to high (ICCs 0.75 and 0.91 for right (Rt) and left (Lt) side respectively), and for the thickness of MF muscles at two levels, at rest and during two tasks was moderate to high (ICCs: 0.64 to 0.87). The Trans-Abdominal (TA) method of RUSI is a reliable method to quantify the PFM contraction in healthy subjects. Also, the RUSI is a reliable method to measure the MF muscles CSAs, the MF muscles thickness at rest and during functional tasks in healthy subjects.
Assessment and realistic mathematics education
Heuvel-Panhuizen, M.H.A.M. van den
1996-01-01
This book describes the consequences of Realistic Mathematics Education (RME) for assessing students’ understanding of mathematics in primary school. RME is the Dutch answer to the worldwide need to reform mathematics education. Changed ideas about mathematics as a school subject, its goals,
Celebrating Mathematics All Year 'Round
Daire, Sandra Arguelles
2010-01-01
Celebrating mathematics should be a yearlong event in which students in mathematics classes of all levels engage in mathematics activities and competitions that will encourage growth in mathematical knowledge, enthusiasm for the subject, and collaboration among students of different abilities and backgrounds. Pi Day and Pi Week festivities--a good…
Knijnik, Gelsa; Wanderer, Fernanda
2015-01-01
The article discusses mathematics education within two educational projects addressed to rural multigrade schools in Brazil: Active School Program (in Portuguese, Programa Escola Ativa--PEA) and the Landless Movement (Movimento Sem Terra--MST) Pedagogy. It is based on an ethnomathematics perspective drawn from Wittgenstein's later work and Michel…
Mathematics related anxiety: Mathematics bogeyman or not?
Directory of Open Access Journals (Sweden)
Videnović Marina
2011-01-01
Full Text Available Data of the PISA 2003 survey indicate high levels of mathematics anxiety of students in Serbia. More than half of our students worry whether they will have difficulties in mathematics class or whether they will earn poor marks. Aims of this study therefore are: examining relationship between math anxiety and achievement at mathematics literacy scale; establishing possible predictors of math anxiety and identification of students' groups in relations to their relationship towards mathematics as a subject. Mathematics anxiety is statistically negatively correlated with school achievement and achievement at mathematics literacy scale. Socio-demographic factors, motivational and cognitive aspects related to learning mathematics, perception of school and classroom climate explain 40% variance of mathematics anxiety. Based on students' relationship towards mathematics they cam be divided into three groups; while dimensions that apart them are uninterested-interested in mathematics and presence-absence of anxiety. The group displaying anxiety scores lowest among the three. Applying qualitative analysis students' and teachers' attitudes on specific issues related to teaching and learning mathematics was examined.
Transitions in Mathematics Education
National Research Council Canada - National Science Library
Verschaffel, Ghislaine GueudetMarianna BoschAndrea A. diSessaOh Nam KwonLieven
2016-01-01
.... The book focuses on research in the area of mathematics education, and starts out with a literature review, describing the epistemological, cognitive, institutional and sociocultural perspectives on transition...
Yang, Eun-Mi
This study employed American and Czech student samples to investigate the motivational constructs used in Eccles and Wigfield's (1983) expectancy-value model. To predict achievement behavior, the model specifies relationships among expectancy for-success and task value, task-specific self-concept, perception of task-difficulty, perceptions of social environment, and interpretations and attributions for past events in relation to the social world. Czech and American students (n = 1,145) in grades 4--12 were the participants in this study. The causal relationships among the constructs were tested to investigate structural similarities and differences in the models for both countries. This study also explored developmental changes, gender, and national differences in the students' motivational beliefs for these motivational constructs: Expectancy for Success, Intrinsic Interest Value, Task-specific Self-concept, Perception of Task-difficulty, and Perceived Vocational Gender Dominance for science, mathematics, and other school subjects. The findings indicated that, for both countries, with respect to changes over grade level, compared to the younger students, the older students showed lower motivational beliefs for most subject areas except reading. However, the Czech students in grades 6--8 showed more positive motivational beliefs in life science and social studies than did the Czech students in other grade levels. In comparing genders, the male students exhibited more positive motivational beliefs in physical science than did the female students, and female students showed more positive motivational beliefs in reading than did the male students. For life science, the Czech female students rated Intrinsic Interest Value and Task-specific Self-concept higher than did their peer male students. The American students' motivational beliefs in reading were more positive than were Czech students', and the Czech students held more positive motivational beliefs in life
Li, Yanhong; Koval, John J; Donner, Allan; Zou, G Y
2010-10-30
The area (A) under the receiver operating characteristic curve is commonly used to quantify the ability of a biomarker to correctly classify individuals into two populations. However, many markers are subject to measurement error, which must be accounted for to prevent understating their effectiveness. In this paper, we develop a new confidence interval procedure for A which is adjusted for measurement error using either external or internal replicated measurements. Based on the observation that A is a function of normal means and variances, we develop the procedure by recovering variance estimates needed from confidence limits for normal means and variances. Simulation results show that the procedure performs better than the previous ones based on the delta-method in terms of coverage percentage, balance of tail errors and interval width. Two examples are presented. Copyright © 2010 John Wiley & Sons, Ltd.
Crossley, J N; Brickhill, CJ; Stillwell, JC
2010-01-01
Although mathematical logic can be a formidably abstruse topic, even for mathematicians, this concise book presents the subject in a lively and approachable fashion. It deals with the very important ideas in modern mathematical logic without the detailed mathematical work required of those with a professional interest in logic.The book begins with a historical survey of the development of mathematical logic from two parallel streams: formal deduction, which originated with Aristotle, Euclid, and others; and mathematical analysis, which dates back to Archimedes in the same era. The streams beg
Leysath, Maggie
This exploratory phenomenological case study investigated the influence the full integration of the arts into core subject instruction has on classroom environment, student academic achievement, and student engagement as perceived by administrators, teachers, and students in one East Texas secondary school. Participant interviews were analyzed using Creswell's (2012) six-step method for analyzing phenomenological studies. The researcher implemented three learning activities in which ceramics learning objectives were fully integrated with chemistry learning objectives. The first activity combined clay properties and pottery wheel throwing with significant numbers. The second activity combined glaze formulation with moles. The third combined stoichiometry with the increased glaze formula for students to glaze the bowls they made. Findings suggest the full integration of art in core subject area instruction has numerous positive effects. Participants reported improved academic achievement for all students including reluctant learners. Students, teachers, and the administrator reported greater participation in the art integrated activities. Participants perceived a need for further training for teachers and administrators for greater success.
DEFF Research Database (Denmark)
Westphael, Henning; Mogensen, Arne
2013-01-01
In this article we present the notion of Mathematical competences as a tool to describe the mathematically gifted students.......In this article we present the notion of Mathematical competences as a tool to describe the mathematically gifted students....
King, Chris
2001-11-01
The National Curriculum for Science (NCS) introduced to schools in England and Wales in 1989 contained an earth science component that was new to many secondary science teachers. Ten years after this introduction, a survey was undertaken to test teacher perception of the effectiveness of their teaching in this subject area that was new to them, and to identify factors that might affect this effectiveness. The information gained has been used in reviewing possible curriculum changes and in developing professional development strategies that would improve the effectiveness of NCS earth science teaching. The data collected from science teachers who are currently teaching this earth science component revealed that their background knowledge of earth science from their own education was generally poor, even though most of them considered their knowledge to be moderate. The teachers indicated that the achievement of their pupils in earth science is moderate, while reports on national testing show it is poor. They reported that their main sources of earth science knowledge and understanding were science textbooks written for 11- to 16-year-old pupils (with their small earth science content of variable quality) and science colleagues (who often have poor earth science backgrounds too). Most teachers indicated that they needed more support in this area. Overall, the data indicated that while teachers consider their teaching in this area to be moderate, other evidence suggests it is poor. If this situation is not to continue it should be addressed. In the longer term the emphasis on the earth science content of the National Science Curriculum could be changed (either enhanced or reduced) within larger scale curriculum changes. Until such curriculum change takes place, effective methods of professional development should be instituted so that teachers have a much improved basis on which to build their earth science teaching. Similar measures would be necessary in other
Elementary Mathematics Teachers' Perceptions and Lived Experiences on Mathematical Communication
Kaya, Defne; Aydin, Hasan
2016-01-01
Mathematical thinking skills and meaningful mathematical understanding are among the goals of current mathematics education. There is a wide consensus among scholars about the purpose of developing mathematical understanding and higher order thinking skills in students. However, how to develop those skills in classroom settings is an area that…
Mathematics deficits in adolescents with bipolar I disorder.
Lagace, Diane C; Kutcher, Stanley P; Robertson, Heather A
2003-01-01
This study examined mathematical ability in adolescents with bipolar I disorder, compared to adolescents with major depressive disorder and psychiatrically healthy comparison subjects. Participants (N=119) included adolescents in remission from bipolar disorder (N=44) or major depressive disorder (N=30), as well as comparison subjects (N=45) with no psychiatric history. Participants were assessed with the following measures: the Wide-Range Achievement Test, Revised 2 (WRAT-R2), Peabody Individual Achievement Test, Bay Area Functional Performance Evaluation Task-Oriented Assessment (functional mathematics subtest), Test of Nonverbal Intellegence-2, and a self-report of mathematics performance. WRAT-R2 and Peabody Individual Achievement Test scores for spelling, mathematics, and reading revealed that adolescents with bipolar disorder had significantly lower achievement in mathematics, compared to subjects with major depressive disorder and comparison subjects. Results for the Test of Nonverbal Intellegence-2 were not significantly different between groups. Adolescents with bipolar disorder took significantly longer to complete the Bay Area Functional Performance Evaluation mathematics task. Significantly fewer adolescents with bipolar disorder (9%) reported above-average mathematics performance, compared with the other groups. Adolescents with remitted bipolar disorder have a specific profile of mathematics difficulties that differentiates them from both adolescents with unipolar depression and psychiatrically healthy comparison subjects. These mathematics deficits may not derive simply from more global deficits in nonverbal intelligence or executive functioning, but may be associated with neuroanatomical abnormalities that result in cognitive deficits, including a slowed response time. These deficits suggest the need for specialized assessment of mathematics as part of a comprehensive clinical follow-up treatment plan.
Directory of Open Access Journals (Sweden)
Fatemeh Jamshidi Ghahfarokhi
2014-02-01
Full Text Available In this study, the relevance amount of documents has been investigated by using google cross-language retrieval tools about a agriculture subject area in cross-language retrieval form, are retrieved. For this purpose, by using Persian journals articles that have had English abstracts, Persian phrases and subject terms with their English equivalent were extracted. In three class us, thirty number of phrases and subject terms of agriculture area were extracted: First class, subject phrases that only in agriculture are used; Secondary, agriculture subject terms that in other fields are used too; Third class, agriculture subject terms that out of this field are considered as public term. Then by these phrases and terms, documents were searched, and relevance amount of search results are investigated. Results of study showed that google cross-language retrieval tools for two classes of phrases and terms, in cross-language retrieval of relevance document about agriculture subject area, aren`t succeed: one class, agriculture subject terms that in other fields are used too. other class, agriculture subject terms that out of agriculture field are considered as public term. Google cross-language retrieval tools about subject phrase and terms that only in agriculture field are used, are performance rather desirable than other two class of phrase and terms
Energy Technology Data Exchange (ETDEWEB)
Jovicic, D.; Milacie, S.; Kovacevic, R.; Petrovic, I.
2004-07-01
The past application of nuclear technology has brought about free emission of numerous Due to the military application of the depleted uranium (DU) in our country, the problem of its radioactivity and hemo toxicity if actualized. Likewise every heavy metal, its is highly toxic and, in addition to it, also radioactive: Interaction of the water-soluble uranium forms with soil is an important effect. In this way, it penetrates into food chain and endangers human health. The study was aimed at determining possible karyotype genotoxic effects in individuals from the regions close to the contaminated areas. Biological dosimetry was performed using modified Moorthead's micromethod. Our studies included the targeted group of 29 patients from the affected regions. The subjects were averagely aged 39.5{+-}2.8 years. Average age of the control group (k), unexposed to the effects of the known genotoxic agents comprising 22 individuals was 28.3{+-}1.2 years. The presented data evidenced that increased incidence of the chromosomal aberrations was found in 6 subjects,accounting for 20.6%. Dicentric type changes were evidence, as well ring chromosomes and eccentric fragments, which are, at the same time the most frequent aberrations. The changes are considered reparable aberrations accounting for 2-3% in metaphases of the unexposed individuals. Statistical data processing evidenced significant difference (p<0.005) between structural chromosomal aberrations in the studied and control groups, as well as in the number of chromatid aberrations (p<0.05).Based on the obtained data it may be concluded that human karyotype changes were present in the studied group, resulting from interaction of ionizing irradiation and other genotoxic agents, with possibility of potent synergistic effects. It is necessary to stress the importance of further monitoring and control of the general population health, particularly due to possible late genetic effects that may affect future generations
Advances in mechanics and mathematics
Ogden, Ray
2002-01-01
Advances in Mechanics and Mathematics (AMMA) is intended to bridge the gap by providing multi-disciplinary publications. This volume, AMMA 2002, includes two parts with three articles by four subject experts. Part 1 deals with nonsmooth static and dynamic systems. A systematic mathematical theory for multibody dynamics with unilateral and frictional constraints and a brief introduction to hemivariational inequalities together with some new developments in nonsmooth semi-linear elliptic boundary value problems are presented. Part 2 provides a comprehensive introduction and the latest research on dendritic growth in fluid mechanics, one of the most profound and fundamental subjects in the area of interfacial pattern formation, a commonly observed phenomenon in crystal growth and solidification processes.
Progress, Wealth, and Mathematics Achievement
DEFF Research Database (Denmark)
Valero, Paola
2013-01-01
as a result, among others, of the growing series of comparative information on educational achievement and development. Such reports can be seen as performances of the comparative logic of Modernity that operates differential positioning, not only among individuals but also among nations, with respect to what......I am interested in discussing the historical conditions that make it possible to formulate the idea that the mathematical qualifications of citizens in modern states is connected to the progress and economic development of nations. I interconnect apparently unrelated areas in an attempt to shed......, 2008, p. 29) that school mathematics has operated is a type of individuality where the subject is set in relation “to transcendental categories that seem to have no particular historical location or author to establish a home” (p. 30). In this way, subjects are inserted in a logic of quantification...
National Research Council Canada - National Science Library
Fatemeh Jamshidi Ghahfarokhi
2014-01-01
In this study, the relevance amount of documents has been investigated by using google cross-language retrieval tools about a agriculture subject area in cross-language retrieval form, are retrieved...
Chatterjee, Anindya
2005-01-01
I try to convey some of the variety and excitement involved in the application of mathematics to engineering problems; to provide a taste of some actual mathematical calculations that engineers do; and finally, to make clear the distinctions between the applied subject of engineering and its purer parents, which include mathematics and the physical sciences. Two main points of this article are that in engineering it is approximation, and not truth, that reigns; and that an engineer carries a ...
Non-selfadjoint operators in quantum physics mathematical aspects
Gazeau, Jean Pierre; Szafraniec, Franciszek Hugon; Znojil, Miloslav
2015-01-01
A unique discussion of mathematical methods with applications to quantum mechanics Non-Selfadjoint Operators in Quantum Physics: Mathematical Aspects presents various mathematical constructions influenced by quantum mechanics and emphasizes the spectral theory of non-adjoint operators. Featuring coverage of functional analysis and algebraic methods in contemporary quantum physics, the book discusses recent emergence of the unboundedness of metric operators, which is a serious issue in the study of parity-time-symmetric quantum mechanics. The book also answers mathematical questions that are currently the subject of rigorous analysis, with potentially significant physical consequences. In addition to prompting a discussion of the role of mathematical methods in the contemporary development of quantum physics, the book features: * Chapter contributions written by well-known mathematical physicists who clarify numerous misunderstandings and misnomers while shedding light on new approaches in this growing area *...
The semantic system is involved in mathematical problem solving.
Zhou, Xinlin; Li, Mengyi; Li, Leinian; Zhang, Yiyun; Cui, Jiaxin; Liu, Jie; Chen, Chuansheng
2017-11-10
Numerous studies have shown that the brain regions around bilateral intraparietal cortex are critical for number processing and arithmetical computation. However, the neural circuits for more advanced mathematics such as mathematical problem solving (with little routine arithmetical computation) remain unclear. Using functional magnetic resonance imaging (fMRI), this study (N = 24 undergraduate students) compared neural bases of mathematical problem solving (i.e., number series completion, mathematical word problem solving, and geometric problem solving) and arithmetical computation. Direct subject- and item-wise comparisons revealed that mathematical problem solving typically had greater activation than arithmetical computation in all 7 regions of the semantic system (which was based on a meta-analysis of 120 functional neuroimaging studies on semantic processing). Arithmetical computation typically had greater activation in the supplementary motor area and left precentral gyrus. The results suggest that the semantic system in the brain supports mathematical problem solving. Copyright © 2017 Elsevier Inc. All rights reserved.
Liu, Bo; Wu, Huayi; Wang, Yandong; Liu, Wenming
2015-01-01
Main road features extracted from remotely sensed imagery play an important role in many civilian and military applications, such as updating Geographic Information System (GIS) databases, urban structure analysis, spatial data matching and road navigation. Current methods for road feature extraction from high-resolution imagery are typically based on threshold value segmentation. It is difficult however, to completely separate road features from the background. We present a new method for extracting main roads from high-resolution grayscale imagery based on directional mathematical morphology and prior knowledge obtained from the Volunteered Geographic Information found in the OpenStreetMap. The two salient steps in this strategy are: (1) using directional mathematical morphology to enhance the contrast between roads and non-roads; (2) using OpenStreetMap roads as prior knowledge to segment the remotely sensed imagery. Experiments were conducted on two ZiYuan-3 images and one QuickBird high-resolution grayscale image to compare our proposed method to other commonly used techniques for road feature extraction. The results demonstrated the validity and better performance of the proposed method for urban main road feature extraction. PMID:26397832
Liu, Bo; Wu, Huayi; Wang, Yandong; Liu, Wenming
2015-01-01
Main road features extracted from remotely sensed imagery play an important role in many civilian and military applications, such as updating Geographic Information System (GIS) databases, urban structure analysis, spatial data matching and road navigation. Current methods for road feature extraction from high-resolution imagery are typically based on threshold value segmentation. It is difficult however, to completely separate road features from the background. We present a new method for extracting main roads from high-resolution grayscale imagery based on directional mathematical morphology and prior knowledge obtained from the Volunteered Geographic Information found in the OpenStreetMap. The two salient steps in this strategy are: (1) using directional mathematical morphology to enhance the contrast between roads and non-roads; (2) using OpenStreetMap roads as prior knowledge to segment the remotely sensed imagery. Experiments were conducted on two ZiYuan-3 images and one QuickBird high-resolution grayscale image to compare our proposed method to other commonly used techniques for road feature extraction. The results demonstrated the validity and better performance of the proposed method for urban main road feature extraction.
Abreu, Desirée Pereira de; Viñas, Ferran; Casas, Ferran; Montserrat, Carme; González-Carrasco, Mònica; Alcantara, Stefania Carneiro de
2016-09-19
The study's overall objective was to investigate the relationship between psychosocial stressors, sense of community, and subjective wellbeing in urban and rural schoolchildren in Northeast Brazil, focusing on differences according to territorial context. The sample consisted of 757 participants, 495 from urban schools and 262 from rural schools, enrolled in the 6th and 7th grades (9 to 18 years of age) in 21 municipal and state public schools, of which 13 urban and 8 rural, in 7 municipalities (counties) in Ceará State, Brazil. The study instruments were inventory of stressful events, scale of life satisfaction for students, index of sense of community, and satisfaction indices by life domains (family, material goods, relations, neighborhood/zone, health, time, school, and personal). The results indicate that socioeconomically underprivileged public schoolchildren from urban areas are more exposed to daily stress and score lower on satisfaction in specific domains of life and on sense of community. This latter is an important indicator for evaluating wellbeing in this young population.
Sharp, Karen Tobey
This paper cites information received from a number of sources, e.g., mathematics teachers in two-year colleges, publishers, and convention speakers, about the nature of discrete mathematics and about what topics a course in this subject should contain. Note is taken of the book edited by Ralston and Young which discusses the future of college…
Gupta, CB; Kumar, V
2009-01-01
About the Book: This book `Advanced Mathematics` is primarily designed for B.Tech., IV Semester (EE and EC branch) students of Rajasthan Technical University. The subject matter is discussed in a lucid manner. The discussion is covered in five units: Unit I: deals with Numerical Analysis, Unit-II: gives different aspects of Numerical Analysis, Unit-III: Special Function, Unit-IV:Statistics and Probability, Calculus of Variation and Transforms are discussed in Unit V. All the theoretical concepts are explained through solved examples. Besides, a large number of unsolved problems on each top
Drago, Lorenzo; Toscano, Marco; De Grandi, Roberta; Grossi, Enzo; Padovani, Ezio M; Peroni, Diego G
2017-04-01
Human milk is essential for the initial development of newborns, as it provides all nutrients and vitamins, such as vitamin D, and represents a great source of commensal bacteria. Here we explore the microbiota network of colostrum and mature milk of Italian and Burundian mothers using the auto contractive map (AutoCM), a new methodology based on artificial neural network (ANN) architecture. We were able to demonstrate the microbiota of human milk to be a dynamic, and complex, ecosystem with different bacterial networks among different populations containing diverse microbial hubs and central nodes, which change during the transition from colostrum to mature milk. Furthermore, a greater abundance of anaerobic intestinal bacteria in mature milk compared with colostrum samples has been observed. The association of complex mathematic systems such as ANN and AutoCM adopted to metagenomics analysis represents an innovative approach to investigate in detail specific bacterial interactions in biological samples.
Plumpton, C
1968-01-01
Sixth Form Pure Mathematics, Volume 1, Second Edition, is the first of a series of volumes on Pure Mathematics and Theoretical Mechanics for Sixth Form students whose aim is entrance into British and Commonwealth Universities or Technical Colleges. A knowledge of Pure Mathematics up to G.C.E. O-level is assumed and the subject is developed by a concentric treatment in which each new topic is used to illustrate ideas already treated. The major topics of Algebra, Calculus, Coordinate Geometry, and Trigonometry are developed together. This volume covers most of the Pure Mathematics required for t
African Journals Online (AJOL)
MATHEMATICS CONNECTION aims at providing a forum topromote the development of Mathematics Education in Ghana. Articles that seekto enhance the teaching and/or learning of mathematics at all levels of theeducational system are welcome.
Directory of Open Access Journals (Sweden)
M. Monazzam
2009-07-01
Full Text Available Background and aims Traffic noise barriers are the most important measure to control the environmental noise pollution. Diffraction from top edge of noise barriers is the most important path of indirect sound wave moves towards receiver.Therefore, most studies are focused on improvement of this kind. Methods T-shape profile barriers are one of the most successful barrier among many different profiles. In this investigation the theory of destructive effect of diffracted waves from real edge of barrier and the wave diffracted from image of the barrier with phase difference of radians is used. Firstly a simple mathematical representation of the zones behind rigid and absorbent T- shape barriers with the highest insertion loss using the destructive effect of indirect path via barrier image is introduced and then two different profile reflective and absorption barrier is used for verification of the introduced model Results The results are then compared with the results of a verified two dimensional boundary element method at 1/3 octave band frequencies and in a wide field behind those barriers. Avery good agreement between the results has been achieved. In this method effective height is used for any different profile barriers. Conclusion The introduced model is very simple, flexible and fast and could be used for choosing the best location of profile rigid and absorptive barriers to achieve the highest performance.
International Mathematical Internet Olympiad
Directory of Open Access Journals (Sweden)
Alexander Domoshnitsky
2012-10-01
Full Text Available Modern Internet technologies open new possibilities in wide spectrum of traditional methods used in mathematical education. One of the areas, where these technologies can be efficiently used, is an organization of mathematical competitions. Contestants can stay at their schools or universities and try to solve as many mathematical problems as possible and then submit their solutions through Internet. Simple Internet technologies supply audio and video connection between participants and organizers.
Riddles in mathematics a book of paradoxes
Northrop, Eugene P
1944-01-01
Two fathers and two sons leave town. This reduces the population of the town by three. True? Yes, if the trio consists of a father, son, and grandson. This entertaining collection consists of more than 200 such riddles, drawn from every branch of mathematics. Math enthusiasts of all ages will enjoy sharpening their wits with riddles rooted in areas from arithmetic to calculus, covering a wide range of subjects that includes geometry, trigonometry, algebra, concepts of the infinite, probability, and logic. But only an elementary knowledge of mathematics is needed to find amusement in this imagi
Learning Mathematics for Teaching Mathematics: Non-Specialist Teachers' Mathematics Teacher Identity
Crisan, Cosette; Rodd, Melissa
2017-01-01
A non-specialist teacher of mathematics is a school teacher who qualified to teach in a subject other than mathematics yet teaches mathematics to students in secondary school. There is an emerging interest internationally in this population, a brief report of which is given in the paper. Because of concerns about the quality of non-specialists'…
Satsangi, Rajiv; Bouck, Emily C.
2015-01-01
Secondary students with a learning disability in mathematics often struggle with the academic demands presented in advanced mathematics courses, such as algebra and geometry. With greater emphasis placed on problem solving and higher level thinking skills in these subject areas, students with a learning disability in mathematics often fail to keep…
Mathematical Footprints Discovering Mathematics Everywhere
Pappas, Theoni
1999-01-01
MATHEMATICAL FOOTPRINTS takes a creative look at the role mathematics has played since prehistoric times, and will play in the future, and uncovers mathematics where you least expect to find it from its many uses in medicine, the sciences, and its appearance in art to its patterns in nature and its central role in the development of computers. Pappas presents mathematical ideas in a readable non-threatening manner. MATHEMATICAL FOOTPRINTS is another gem by the creator of THE MATHEMATICS CALENDAR and author of THE JOY OF MATHEMATICS. "Pappas's books have been gold mines of mathematical ent
Building Mathematics Vocabulary
Kovarik, Madeline
2010-01-01
Although mathematics is visual language of symbols and numbers it is also expressed and explained through written and spoken words. For students to excel in mathematics, they must recognize, comprehend and apply the requisite vocabulary. Thus, vocabulary instruction is as critical in content areas as it is in language arts. It is especially…
Mathematics for computer graphics
Vince, John
2006-01-01
Helps you understand the mathematical ideas used in computer animation, virtual reality, CAD, and other areas of computer graphics. This work also helps you to rediscover the mathematical techniques required to solve problems and design computer programs for computer graphic applications
DEFF Research Database (Denmark)
Ioannides, Andreas A; Liu, Lichan; Poghosyan, Vahe
2013-01-01
magnetoencephalography (MEG) data recorded from one congenitally blind and two sighted subjects after stimulation of the left and right median nerves at three intensities: below sensory threshold, above sensory threshold and above motor threshold; the last sufficient to produce thumb twitching. We identified...... reproducible brain responses in the primary somatosensory (S1) and motor (M1) cortices at around 20 ms post-stimulus, which were very similar in sighted and blind subjects. Time-frequency analysis revealed strong 45-70 Hz activity at latencies of 20-50 ms in S1 and M1, and posterior parietal cortex Brodmann...... of information through this pathway occurred in stages characterized by convergence of activations into specific cortical regions. In sighted subjects, no linked activity was found that led from the somatosensory to the visual cortex through any of the studied brain regions. These results provide the first...
Elbers, J.M.; Haumann, G.; Asscheman, H.; Seidell, J C; Gooren, Louis J G
1997-01-01
OBJECTIVE: To assess reproducibility, expressed as both inter-observer variability and intra-observer variability, of fat area measurements on images obtained by magnetic resonance (MR); to compare variability between fat area measurements, calculated from a single image per body region and from the
DEFF Research Database (Denmark)
Kjems, L L; Vølund, A; Madsbad, Sten
2001-01-01
AIMS/HYPOTHESIS: We compared four methods to assess their accuracy in measuring insulin secretion during an intravenous glucose tolerance test in patients with Type II (non-insulin-dependent) diabetes mellitus and with varying beta-cell function and matched control subjects. METHODS: Eight control...... subjects and eight Type II diabetic patients underwent an intravenous glucose tolerance test with tolbutamide and an intravenous bolus injection of C-peptide to assess C-peptide kinetics. Insulin secretion rates were determined by the Eaton deconvolution (reference method), the Insulin SECretion method......-phase insulin response (r = 0.78). The two-compartment combined model failed to provide reliable estimates of insulin secretion in three of the control subjects and in two patients with Type II diabetes. The four methods were accurate with respect to mean basal and first-phase secretion response. The one...
Liao, Pei-shan
2009-01-01
This study explores the consistency between objective indicators and subjective perceptions of quality of life in a ranking of survey data for cities and counties in Taiwan. Data used for analysis included the Statistical Yearbook of Hsiens and Municipalities and the Survey on Living Conditions of Citizens in Taiwan, both given for the year 2000.…
Bezerra, Marilia; da Costa, Jonatas Maia
2016-01-01
This paper presents the results of two studies researching the theory of subjectivity from a cultural-historical perspective. The studies are situated in the fields of education and health and are conducted using Qualitative Epistemology. The first study discusses the pathological movement problems of learning disabilities in Brazilian schools and…
Discrete Mathematics and Its Applications
Oxley, Alan
2010-01-01
The article gives ideas that lecturers of undergraduate Discrete Mathematics courses can use in order to make the subject more interesting for students and encourage them to undertake further studies in the subject. It is possible to teach Discrete Mathematics with little or no reference to computing. However, students are more likely to be…
Mathematics education a spectrum of work in mathematical sciences departments
Hsu, Pao-sheng; Pollatsek, Harriet
2016-01-01
Many in the mathematics community in the U.S. are involved in mathematics education in various capacities. This book highlights the breadth of the work in K-16 mathematics education done by members of US departments of mathematical sciences. It contains contributions by mathematicians and mathematics educators who do work in areas such as teacher education, quantitative literacy, informal education, writing and communication, social justice, outreach and mentoring, tactile learning, art and mathematics, ethnomathematics, scholarship of teaching and learning, and mathematics education research. Contributors describe their work, its impact, and how it is perceived and valued. In addition, there is a chapter, co-authored by two mathematicians who have become administrators, on the challenges of supporting, evaluating, and rewarding work in mathematics education in departments of mathematical sciences. This book is intended to inform the readership of the breadth of the work and to encourage discussion of its val...
Foster, Colin
2013-07-01
In a high-stakes assessment culture, it is clearly important that learners of mathematics develop the necessary fluency and confidence to perform well on the specific, narrowly defined techniques that will be tested. However, an overemphasis on the training of piecemeal mathematical skills at the expense of more independent engagement with richer, multifaceted tasks risks devaluing the subject and failing to give learners an authentic and enjoyable experience of being a mathematician. Thus, there is a pressing need for mathematical tasks which embed the practice of essential techniques within a richer, exploratory and investigative context. Such tasks can be justified to school management or to more traditional mathematics teachers as vital practice of important skills; at the same time, they give scope to progressive teachers who wish to work in more exploratory ways. This paper draws on the notion of a musical étude to develop a powerful and versatile approach in which these apparently contradictory aspects of teaching mathematics can be harmoniously combined. I illustrate the tactic in three central areas of the high-school mathematics curriculum: plotting Cartesian coordinates, solving linear equations and performing enlargements. In each case, extensive practice of important procedures takes place alongside more thoughtful and mathematically creative activity.
Language and Mathematical Education.
Austin, J. L.; Howson, A. G.
1979-01-01
This annotated bibliography of writings on the interaction of language and mathematical education is prefaced by an essay indicating possible areas for investigation and drawing attention to those regions in which research activity has already commenced. (MP)
Directory of Open Access Journals (Sweden)
D. D'Ayala
1995-06-01
Full Text Available The present work aimed to outline the need to investigate different fields of research to interpret the structural behaviour of a monument as complex as the Colosseum. It is shown how defining the numerical models first. then refining them, followed by interpretation of results. is strictly linked with the inforination gathered from historical records and observation of the ~nonumenta s it is today. The study is confined to the area of the Valadier abutment. analysing its state and its seismic behaviour before and after the XIX century restoration using different ilumerical tools, from the elastic modal analysis to the non linear step by step time history direct integration. The procedure comparatiely evaluates the reliability in the interpretation of the results and identifies future lines or research.
Mbaye, A; Dodo, B; Ngaïde, A A; Sy, N F; Babaka, K; Mingou, J S; Faye, M; Niang, K; Sarr, S A; Dioum, M; Bodian, M; Ndiaye, M B; Kane, A D; Ndour-Mbaye, M; Diao, M; Diack, B; Kane, M; Diagne-Sow, D; Thiaw, I; Kane, A
2017-09-01
To assess the prevalence of left ventricular hypertrophy according to electrocardiographic and echocardiographic criteria among hypertensive patients living in semi-rural Senegalese area. According to the World Health Organization STEPSwise approach, we conducted, in November 2012, a cross-sectional and exhaustive study in the population aged at least 35 years old and living for at least six months in the semi-rural area of Guéoul. We researched electrocardiographic and echocardiographic left ventricular hypertrophy in hypertensive subjects. Data were analyzed with SPSS 18.0 software version. The significance level was agreed for a value of P<0.05. We examined 1411 subjects aged on average of 48.5±12.7 years. In total, 654 subjects were hypertensive and screening of left ventricular hypertrophy (LVH) was effective in 515 of them. According to Sokolow-Lyon index, 86 subjects (16.7%) presented electrocardiographic LVH, more frequently in men (P=0.002). According to Cornell index and Cornell product, LVH was founded respectively in 66 (12.8%) and 52 subjects (10.1%), more frequently in female (P=0.0001; P=0.004). It was more common in grade 3 of hypertension however criteria. In echocardiography, prevalence of LVH was 2.2% (13 cases) according to the left ventricular mass, 9.3% (48 cases) according to the left ventricular mass indexed to body surface area and 8.2% (42 cases) according to the left ventricular mass indexed to height 2.7 . LVH was significantly correlated with the electrocardiographic LVH according to Sokolow-Lyon index (P<0.0001) and the grade 3 of hypertension (P=0.003). Although rare in hypertensive Senegalese living in semi-rural area, left ventricular hypertrophy is correlated with severity of grade of hypertension. Screening by electrocardiogram will allow better follow-up of these hypertensive subjects. Copyright © 2017 Elsevier Masson SAS. All rights reserved.
Correlating Mathematics and Science
Mireles, Selena Vasquez
2009-01-01
The change from students learning all subjects together in a one-room schoolhouse to learning in classes separated by subject and grade resulted in distinct disciplines such as social studies, mathematics, science, and English. What was lost was the unified, holistic curriculum that a one-room setting required. Since students move from…
Ethical Dimensions of Mathematics Education
Boylan, Mark
2016-01-01
The relationships between mathematics, mathematics education and issues such as social justice and equity have been addressed by the sociopolitical tradition in mathematics education. Others have introduced explicit discussion of ethics, advocating for its centrality. However, this is an area that is still under developed. There is a need for an…
Contemporary mathematical physics
Dobrushin, R L; Shubin, M A; Vershik, Anatoly M
1996-01-01
This first of a two-volume collection is a celebration of the scientific heritage of F. A. Berezin (1931-1980). Before his untimely death, Berezin had an important influence on physics and mathematics, discovering new ideas in mathematical physics, representation theory, analysis, geometry, and other areas of mathematics. His crowning achievements were the introduction of a new notion of deformation quantization, and Grassmannian analysis ("supermathematics"). Collected here are papers by his many of his colleagues and others who worked in related areas, representing a wide spectrum of topics
DEFF Research Database (Denmark)
Kjems, L L; Vølund, A; Madsbad, Sten
2001-01-01
AIMS/HYPOTHESIS: We compared four methods to assess their accuracy in measuring insulin secretion during an intravenous glucose tolerance test in patients with Type II (non-insulin-dependent) diabetes mellitus and with varying beta-cell function and matched control subjects. METHODS: Eight control...... subjects and eight Type II diabetic patients underwent an intravenous glucose tolerance test with tolbutamide and an intravenous bolus injection of C-peptide to assess C-peptide kinetics. Insulin secretion rates were determined by the Eaton deconvolution (reference method), the Insulin SECretion method...... (ISEC) based on population kinetic parameters as well as one-compartment and two-compartment versions of the combined model of insulin and C-peptide kinetics. To allow a comparison of the accuracy of the four methods, fasting rates and amounts of insulin secreted during the first phase (0-10 min...
Directory of Open Access Journals (Sweden)
Ye. Nahornyi
2017-06-01
Full Text Available The analysis results of existing optimization models of the transport market subjects interaction indicate a need to develop the new and improve the existing approaches to complex problems arising in the transportation of intermodal containers. It will allow providing competitive advantages for freight forwarders and transport services in optimal distribution of available resources, rational use of technical and technological capabilities of the delivery participants.
Mathematical Representation Ability by Using Project Based Learning on the Topic of Statistics
Widakdo, W. A.
2017-09-01
Seeing the importance of the role of mathematics in everyday life, mastery of the subject areas of mathematics is a must. Representation ability is one of the fundamental ability that used in mathematics to make connection between abstract idea with logical thinking to understanding mathematics. Researcher see the lack of mathematical representation and try to find alternative solution to dolve it by using project based learning. This research use literature study from some books and articles in journals to see the importance of mathematical representation abiliy in mathemtics learning and how project based learning able to increase this mathematical representation ability on the topic of Statistics. The indicators for mathematical representation ability in this research classifies namely visual representation (picture, diagram, graph, or table); symbolize representation (mathematical statement. Mathematical notation, numerical/algebra symbol) and verbal representation (written text). This article explain about why project based learning able to influence student’s mathematical representation by using some theories in cognitive psychology, also showing the example of project based learning that able to use in teaching statistics, one of mathematics topic that very useful to analyze data.
MATHEMATICAL METHODS IN MEDICAL IMAGE PROCESSING
ANGENENT, SIGURD; PICHON, ERIC; TANNENBAUM, ALLEN
2013-01-01
In this paper, we describe some central mathematical problems in medical imaging. The subject has been undergoing rapid changes driven by better hardware and software. Much of the software is based on novel methods utilizing geometric partial differential equations in conjunction with standard signal/image processing techniques as well as computer graphics facilitating man/machine interactions. As part of this enterprise, researchers have been trying to base biomedical engineering principles on rigorous mathematical foundations for the development of software methods to be integrated into complete therapy delivery systems. These systems support the more effective delivery of many image-guided procedures such as radiation therapy, biopsy, and minimally invasive surgery. We will show how mathematics may impact some of the main problems in this area, including image enhancement, registration, and segmentation. PMID:23645963
Constructivism and mathematics education in Ghana | Fletcher ...
African Journals Online (AJOL)
Mathematics is a subject found in every school Curriculum in almost every country. Here in Ghana, mathematics is a compulsory subject in both the basic education (i.e. primary and junior secondary) and senior secondary curricula. This paper argues that in spite of the desire of mathematics educators in Ghana to pursue a ...
Hanh, Vu Duc, Ed.
This document gives a listing of mathematical terminology in both the English and Vietnamese languages. Vocabulary used in algebra and geometry is included along with a translation of mathematical symbols. (DT)
... this page: //medlineplus.gov/ency/article/001534.htm Mathematics disorder To use the sharing features on this page, please enable JavaScript. Mathematics disorder is a condition in which a child's ...
Moghtaderi, Arsia; Moore, Farid; Ranjbar, Hojjatollah
2017-01-01
Satellite images are widely used to map geological and environmental features at different map scales. The ability of visible to near-infrared (VNIR) scanner systems to map gossans, rich in iron and associated with weathered sulfide occurrences, as well as to characterize regoliths, is perhaps one of the most important current applications of this technology. Initial results of this study show that advanced space-borne thermal emission and reflection (ASTER), VNIR, and short-wave infrared radiometer scanner systems can be used successfully to map iron ores. By applying internal average relative reflectance, false color composite, minimum noise fraction transform, and mathematical evaluation method (MEM) techniques, iron contaminations were successfully detected in the Chadormalu iron mine area of central Iran. An attempt was also made to discriminate between the geogenic and anthropogenic iron contaminations in the vicinity of the Chadormalu iron deposit. This research compares ASTER and Landsat 8 data images and the MEM with the band ratio method in a full scope view scale and demonstrates ASTER image data capability in detecting iron contaminations in the Chadormalu area. This indicates that ASTER bands 3, 2, and 1 have a higher spatial (15 m) resolution compared with sensors used in previous works. In addition, the capability of the MEM in detecting Fe-contaminants, unlike the color judgments of the band ratio method, can discriminate between iron pollution in an alluvial plain and the Fe-contents of the host and country rocks in the study area. This study proved that Landsat 8 data illustrate exaggeration both in the MEM and band ratio final results (outputs) and cannot display iron contamination in detail.
Mathematics anxiety and mathematics achievement
Sherman, Brian F.; Wither (Post.), David P.
2003-09-01
This paper is a distillation of the major result from the 1998 Ph.D. thesis of the late David Wither. It details a longitudinal study over five years of the relationship between mathematics anxiety and mathematics achievement. It starts from the already well documented negative correlation between the two, and seeks to establish one of the three hypotheses—that mathematics anxiety causes an impairment of mathematics achievement; that lack of mathematics achievement causes mathematics anxiety; or that there is a third underlying cause of the two.
Kilpatrick, Jeremy
2014-01-01
This paper addresses the contested way that ethnomathematics has sometimes been received by mathematicians and others and what that disagreement might suggest about issues in mathematics education; namely, (a) the relation of ethnomathematics to academic mathematics; (b) recent efforts to reform secondary school mathematics so that it prepares…
Christiansen, Snorre H.
2015-01-01
We consider a definition of mathematics as the art of thinking in terms of formalized systems, and the science of relations, structures and algorithms. We also touch upon the relation of mathematics to other sciences, in particular through modelling and scientific computing. We discuss mathematics as a martial art and a key to paradigm changes.
Longing, Jeffrey Lucian
The purpose of this study was to determine possible differences in the perceptions of teachers teaching in high-need areas (i.e., math, science, special education, etc.) and teachers not teaching in high-need areas, (i.e., business education, physical education, etc.) as defined by the states of Arkansas and Louisiana, regarding higher compensation for high-need teachers. In addition, possible perception differences among principals and teachers were determined. The independent variables consisted of gender, position held, years of certified experience, and certification areas. The dependent variable was the perceptions of the participants on providing higher compensation for high-need teachers in order to attract and retain them. The data for all variables were collected using the Teacher Compensation Survey. The sample for this study was limited to teachers, grades 9 through 12, and principals of public high schools in south Arkansas and north Louisiana. Forty-four school districts in south Arkansas (Arkansas Department of Education, 2008a) and north Louisiana (Louisiana Department of Education, 2008a) met the criteria for this study. Twenty-two superintendents gave permission for their districts to participate in the research. A sample of 849 teachers and 38 principals were identified in these districts. Surveys were returned from 350 teachers, creating a 41% response rate. When the 31 principals that returned surveys were added to the total population, the response rate increased to 43% with 381 of the 887 surveyed responding. However, 42 of the teachers and two of the principals skipped some of the questions on the survey and were not included in the study. The researcher used a One-Way ANOVA and independent t-tests to determine the presence of statistical differences at the .05 level. The data showed that most math and science teachers agreed that high-need teachers should be compensated at a higher rate than teachers not teaching in high-need areas. The data
Wilson, P B
2013-10-01
Psoriasis is associated with serious comorbidities such as cardiovascular disease, type 2 diabetes, and metabolic syndrome. These comorbidities are related to low physical activity in the general population. Limited research has evaluated physical activity in psoriasis, and thus, the purpose of this investigation was to compare physical activity between individuals with and without psoriasis as well as explore the associations between measures of psoriasis severity and physical activity. Cross-sectional study using data from the 2003-2006 National Health and Nutrition Examination Survey. Self-reported psoriasis diagnosis and psoriasis severity were regressed on moderate/vigorous physical activity, as measured objectively by accelerometers. Measures of psoriasis severity included rating of psoriasis as a problem in life and body surface area involvement. A total of 4316 individuals had data on psoriasis, moderate/vigorous physical activity, and relevant covariates, with 3.6% (population weighted) of participants (N.=117) reporting a diagnosis of psoriasis. A psoriasis diagnosis was not associated with moderate/vigorous physical activity, and furthermore, body surface area involvement was not associated with moderate/vigorous physical activity among participants with psoriasis. However, every tertile increase in psoriasis as a problem in life was associated with 28% less moderate/vigorous physical activity, which remained significant after adjusting for covariates and removing outliers. While a diagnosis of psoriasis and body surface area involvement do not appear to be associated with less moderate/vigorous physical activity, individuals that rate their psoriasis to be a large problem engage in less moderate/vigorous physical activity.
Canadian Mathematical Congress
1977-01-01
For two weeks in August, 1975 more than 140 mathematicians and other scientists gathered at the Universite de Sherbrooke. The occasion was the 15th Biennial Seminar of the Canadian Mathematical Congress, entitled Mathematics and the Life Sciences. Participants in this inter disciplinary gathering included researchers and graduate students in mathematics, seven different areas of biological science, physics, chemistry and medical science. Geographically, those present came from the United States and the United Kingdom as well as from academic departments and government agencies scattered across Canada. In choosing this particular interdisciplinary topic the programme committee had two chief objectives. These were to promote Canadian research in mathematical problems of the life sciences, and to encourage co-operation and exchanges between mathematical scientists" biologists and medical re searchers. To accomplish these objective the committee assembled a stim ulating programme of lectures and talks. Six ...
A Review of Applied Mathematics
Ó'Náraigh, Lennon; Ní Shúilleabháin, Aoibhinn
2015-01-01
Applied Mahtematics is a subject which deals with problmes arising inthe physical, life, and social sciences as well as in engineering and provides a broad body of knowledge for use in a wide spectrum of research and insdustry. Applied Mathematics is an important school subject which builds students' mathematical and problem solving skills. The subject has remained on the periphery of school time-tables and, without the commitment and enthusiasm of Applied Maths teachers, would likely be omit...
Directory of Open Access Journals (Sweden)
Juan Camilo Sánchez-Arcila
2014-01-01
Full Text Available In Brazil, malaria is prevalent in the Amazon region and these regions coincide with high prevalence of intestinal parasites but few studies explore the interaction between malaria and other parasites. Therefore, the present study evaluates changes in cytokine, chemokine, C-reactive protein, and nitric oxide (NO concentrations in 264 individuals, comparing plasma from infected individuals with concurrent malaria and intestinal parasites to individuals with either malaria infection alone and uninfected. In the studied population 24% of the individuals were infected with Plasmodium and 18% coinfected with intestinal parasites. Protozoan parasites comprised the bulk of the intestinal parasites infections and subjects infected with intestinal parasites were more likely to have malaria. The use of principal component analysis and cluster analysis associated increased levels of IL-6, TNF-α, IL-10, and CRP and low levels of IL-17A predominantly with individuals with malaria alone and coinfected individuals. In contrast, low levels of almost all inflammatory mediators were associated predominantly with individuals uninfected while increased levels of IL-17A were associated predominantly with individuals with intestinal parasites only. In conclusion, our data suggest that, in our population, the infection with intestinal parasites (mainly protozoan does not modify the pattern of cytokine production in individuals infected with P. falciparum and P. vivax.
DEFF Research Database (Denmark)
Sørensen, John Aasted
2011-01-01
; construct a finite state machine for a given application. Apply these concepts to new problems. The teaching in Discrete Mathematics is a combination of sessions with lectures and students solving problems, either manually or by using Matlab. Furthermore a selection of projects must be solved and handed......The objectives of Discrete Mathematics (IDISM2) are: The introduction of the mathematics needed for analysis, design and verification of discrete systems, including the application within programming languages for computer systems. Having passed the IDISM2 course, the student will be able...... to accomplish the following: -Understand and apply formal representations in discrete mathematics. -Understand and apply formal representations in problems within discrete mathematics. -Understand methods for solving problems in discrete mathematics. -Apply methods for solving problems in discrete mathematics...
DEFF Research Database (Denmark)
Sørensen, John Aasted
2011-01-01
The objectives of Discrete Mathematics (IDISM2) are: The introduction of the mathematics needed for analysis, design and verification of discrete systems, including the application within programming languages for computer systems. Having passed the IDISM2 course, the student will be able...... to accomplish the following: -Understand and apply formal representations in discrete mathematics. -Understand and apply formal representations in problems within discrete mathematics. -Understand methods for solving problems in discrete mathematics. -Apply methods for solving problems in discrete mathematics......; construct a finite state machine for a given application. Apply these concepts to new problems. The teaching in Discrete Mathematics is a combination of sessions with lectures and students solving problems, either manually or by using Matlab. Furthermore a selection of projects must be solved and handed...
Mathematical Modeling and Pure Mathematics
Usiskin, Zalman
2015-01-01
Common situations, like planning air travel, can become grist for mathematical modeling and can promote the mathematical ideas of variables, formulas, algebraic expressions, functions, and statistics. The purpose of this article is to illustrate how the mathematical modeling that is present in everyday situations can be naturally embedded in…
Energy Technology Data Exchange (ETDEWEB)
Cho, Chon Rae; Lam, Nguyen Hoang [College of Fisheries and Ocean Sciences, Chonnam National University, Yeosu 550-749 (Korea, Republic of); Cho, Byung Mann [Department of Preventive Medicine and Occupational Medicine, School of Medicine, Pusan National University, Yangsan 626-770 (Korea, Republic of); Kannan, Kurunthachalam [Wadsworth Center, New York State Department of Health and Department of Environmental Health Sciences, School of Public Health, State University of New York at Albany, Empire State Plaza PO Box 509, Albany, NY 12201-0509 (United States); Cho, Hyeon Seo, E-mail: hscho@jnu.ac.kr [College of Fisheries and Ocean Sciences, Chonnam National University, Yeosu 550-749 (Korea, Republic of)
2015-04-15
blood were found in Korea. • Gender was found to influence the concentrations of PFOA, PFNA, PFHxS and PFOSA. • Significant positive associations between PFAS levels and age of subjects were found. • Occupation was a determinant for PFNA and PFHxS concentrations.
Darlington, Ellie; Bowyer, Jessica
2016-01-01
332 undergraduate chemistry students were surveyed in order to establish whether they had found A-level Mathematics and/or Further Mathematics to be good preparation for their degree. Perceptions of both subjects were found to be positive, with more than 80% of participants describing Mathematics or Further Mathematics as good preparation. In…
Alexander, Serena; Poggo, Tammy
2014-01-01
Features the complete set of answers to the exercises in Mathematics Year 5, to save you time marking work and enable you to identify areas requiring further attention. The book includes diagrams and workings where necessary, to ensure pupils understand how to present their answers. Also available from Galore Park www.galorepark.co.uk :. - Mathematics Year 5. - Mathematics Year 6. - 11+ Maths Practice Exercises. - 11+ Maths Revision Guide. - 10-Minute Maths Tests Workbook Age 8-10. - 10-Minute Maths Tests Workbook Age 9-11. - Mental Arithmetic Workbook Age 8-10. - Mental Arithmetic Workbook Ag
Mathematics as verbal behavior.
Marr, M Jackson
2015-04-01
"Behavior which is effective only through the mediation of other persons has so many distinguishing dynamic and topographical properties that a special treatment is justified and indeed demanded" (Skinner, 1957, p. 2). Skinner's demand for a special treatment of verbal behavior can be extended within that field to domains such as music, poetry, drama, and the topic of this paper: mathematics. For centuries, mathematics has been of special concern to philosophers who have continually argued to the present day about what some deem its "special nature." Two interrelated principal questions have been: (1) Are the subjects of mathematical interest pre-existing in some transcendental realm and thus are "discovered" as one might discover a new planet; and (2) Why is mathematics so effective in the practices of science and engineering even though originally such mathematics was "pure" with applications neither contemplated or even desired? I argue that considering the actual practice of mathematics in its history and in the context of acquired verbal behavior one can address at least some of its apparent mysteries. To this end, I discuss some of the structural and functional features of mathematics including verbal operants, rule-and contingency-modulated behavior, relational frames, the shaping of abstraction, and the development of intuition. How is it possible to understand Nature by properly talking about it? Essentially, it is because nature taught us how to talk. Copyright © 2015 Elsevier B.V. All rights reserved.
The Princeton companion to mathematics
Barrow-Green, June; Leader, Imre
2008-01-01
This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries, written especially for this book by some of the world's leading mathematicians, that introduce basic mathematical tools and vocabulary; trace the development of modern mathematics; explain essential terms and concepts; examine core ideas in major areas of mathematics; describe the achievements of scores of famous mathematicians; explore the impact of mathematics on other disciplines such as biology, finance, and music--and much, much more
Mastering mathematics for Edexcel GCSE
Davis, Heather; Liggett, Linda
2015-01-01
Help students to develop their knowledge, skills and understanding so that they can reason mathematically, communicate mathematical information and apply mathematical techniques in solving problems; with resources developed specifically for the Edexcel GCSE 2015 specification with leading Assessment Consultant Keith Pledger and a team of subject specialists. - Supports you and your students through the new specifications, with topic explanations and new exam-style questions, to support the new assessment objectives. - Builds understanding and measures progress throughout the course with plenty
Wittgenstein, finitism, and the foundations of mathematics
Marion, Mathieu
2008-01-01
Mathieu Marion traces the development of Wittgenstein''s thinking from the 1920s through to the 1950s, in the context of the mathematical and philosophical work of the time, making sense of ideas that have often been misunderstood. He shows that study of Wittgenstein''s writings on mathematics is essential to a proper understanding of his philosophy. - ;Mathieu Marion offers a careful, historically informed study of Wittgenstein''s philosophy of mathematics. This area of his work has frequently been undervalued by Wittgenstein specialists and by philosophers of mathematics alike; but the surprising fact that he wrote more on this subject than on any other indicates its centrality in his thought. Marion traces the development of Wittgenstein''s thinking in the context of the mathematical and philosophical work of the times, to make. coherent sense of ideas that have too often been misunderstood because they have been presented in a disjointed and incomplete way. In particular, he illuminates the work of the ne...
Kim, Moon-Hwan; Yi, Chung-Hwi; Weon, Jong-Hyuck; Cynn, Heon-Seock; Jung, Do-Young; Kwon, Oh-Yun
2015-04-01
[Purpose] This study investigated whether the toe-spread-out exercise affects the hallux valgus angle, the cross-sectional area of the abductor hallucis muscle, and the hallux valgus angle during active abduction. [Subjects and Methods] Twenty-four subjects with hallux valgus were randomly assigned to orthosis and orthosis plus toe-spread-out exercise groups. The orthosis group wore the orthosis for 8 weeks, while the orthosis plus toe-spread-out group also performed the toe-spread-out exercise. The hallux valgus angle, the cross-sectional area of the abductor hallucis muscle, and the hallux valgus angle during active abduction were measured initially and after 8 weeks by radiography and ultrasonography. [Results] While there were no significant changes in the three parameters in the orthosis group, there were significant differences in the orthosis plus toe-spread-out exercise group after 8 weeks. In addition there were significant differences in the three measures between the two groups. [Conclusion] The toe-spread-out exercise reduces the hallux valgus angle and hallux valgus angle during active abduction, and increases the cross-sectional area of the abductor hallucis muscle. The toe-spread-out exercise is recommended for patients with mild to moderate hallux valgus.
Principles of mathematical modeling
Dym, Clive
2004-01-01
Science and engineering students depend heavily on concepts of mathematical modeling. In an age where almost everything is done on a computer, author Clive Dym believes that students need to understand and "own" the underlying mathematics that computers are doing on their behalf. His goal for Principles of Mathematical Modeling, Second Edition, is to engage the student reader in developing a foundational understanding of the subject that will serve them well into their careers. The first half of the book begins with a clearly defined set of modeling principles, and then introduces a set of foundational tools including dimensional analysis, scaling techniques, and approximation and validation techniques. The second half demonstrates the latest applications for these tools to a broad variety of subjects, including exponential growth and decay in fields ranging from biology to economics, traffic flow, free and forced vibration of mechanical and other systems, and optimization problems in biology, structures, an...
Pappas, Theoni
1997-01-01
In this highly readable volume of vignettes of mathematical scandals and gossip, Theoni Pappas assembles 29 fascinating stories of intrigue and the bizarre ? in short, the human background of the history of mathematics. Might a haberdasher have changed Einstein's life? Why was the first woman mathematician murdered? How come there's no Nobel Prize in mathematics?Mathematics is principally about numbers, equations, and solutions, all of them precise and timeless. But, behind this arcane matter lies the sometimes sordid world of real people, whose rivalries and deceptions
Jothi, A Lenin
2009-01-01
Financial services, particularly banking and insurance services is the prominent sector for the development of a nation. After the liberalisation of financial sector in India, the scope of getting career opportunities has been widened. It is heartening to note that various universities in India have introduced professional courses on banking and insurance. A new field of applied mathematics has come into prominence under the name of Financial Mathematics. Financial mathematics has attained much importance in the recent years because of the role played by mathematical concepts in decision - m
Hiriart-Urruty, Jean-Baptiste
2017-01-01
This textbook presents a collection of interesting and sometimes original exercises for motivated students in mathematics. Written in the same spirit as Volume 1, this second volume of Mathematical Tapas includes carefully selected problems at the intersection between undergraduate and graduate level. Hints, answers and (sometimes) comments are presented alongside the 222 “tapas” as well as 8 conjectures or open problems. Topics covered include metric, normed, Banach, inner-product and Hilbert spaces; differential calculus; integration; matrices; convexity; and optimization or variational problems. Suitable for advanced undergraduate and graduate students in mathematics, this book aims to sharpen the reader’s mathematical problem solving abilities.
Aigner, Martin; Spain, Philip G
2010-01-01
Mathematics is all around us. Often we do not realize it, though. Mathematics Everywhere is a collection of presentations on the role of mathematics in everyday life, through science, technology, and culture. The common theme is the unique position of mathematics as the art of pure thought and at the same time as a universally applicable science. The authors are renowned mathematicians; their presentations cover a wide range of topics. From compact discs to the stock exchange, from computer tomography to traffic routing, from electronic money to climate change, they make the "math inside" unde
Galsworthy, Michael J; Irwin, Rachel; Charlesworth, Kate; Ernst, Kelly; Hristovski, Dimitar; Wismar, Matthias; McKee, Martin
2014-06-01
Previous analyses concerning health components of European Union (EU)-funded research have shown low project participation levels of the 12 newest member states (EU-12). Additionally, there has been a lack of subject-area analysis. In the Health Research for Europe project, we screened all projects of the EU's Framework Programmes for research FP5 and FP6 (1998-2006) to identify health research projects and describe participation by country and subject area. FP5 and FP6 project databases were acquired and screened by coders to identify health-related projects, which were then categorized according to the 47 divisions of the EU Health Portal (N = 2728 projects) plus an extra group of 'basic/biotech' projects (N = 1743). Country participation and coordination rates for projects were also analyzed. Approximately 20% of the 26 946 projects (value €29.2bn) were health-related (N = 4756. Value €6.04bn). Within the health categories, the largest expenditures were cancer (11.9%), 'other' (i.e. not mental health or cardiovascular) non-communicable diseases (9.5%) and food safety (9.4%). One hundred thirty-two countries participated in these projects. Of the 27 EU countries (and five partner countries), north-western and Nordic states acquired more projects per capita. The UK led coordination with > 20% of projects. EU-12 countries were generally under-represented for participation and coordination. Combining our findings with the associated literature, we comment on drivers determining distribution of participation and funds across countries and subject areas. Additionally, we discuss changes needed in the core EU projects database to provide greater transparency, data exploitation and return on investment in health research. © The Author 2013. Published by Oxford University Press on behalf of the European Public Health Association. All rights reserved.
Loving + hating mathematics challenging the myths of mathematical life
Hersh, Reuben
2011-01-01
Mathematics is often thought of as the coldest expression of pure reason. But few subjects provoke hotter emotions--and inspire more love and hatred--than mathematics. And although math is frequently idealized as floating above the messiness of human life, its story is nothing if not human; often, it is all too human. Loving and Hating Mathematics is about the hidden human, emotional, and social forces that shape mathematics and affect the experiences of students and mathematicians. Written in a lively, accessible style, and filled with gripping stories and anecdotes, Loving and Hating Mathema
Proceedings Mathematical Sciences
Indian Academy of Sciences (India)
37
note, we characterize the $p$-groups of conjugate type $(n,1)$ attaining this maximal number. As a corollary, we characterize ... general linear groups and affine groups over arbitrary fields have been classified by. Kulkarni [Kul08]. Gouraige [Gou06] ... 2010 Mathematics Subject Classification. 20D15 (Primary); 20E45 ...
Continuum mechanics the birthplace of mathematical models
Allen, Myron B
2015-01-01
Continuum mechanics is a standard course in many graduate programs in engineering and applied mathematics as it provides the foundations for the various differential equations and mathematical models that are encountered in fluid mechanics, solid mechanics, and heat transfer. This book successfully makes the topic more accessible to advanced undergraduate mathematics majors by aligning the mathematical notation and language with related courses in multivariable calculus, linear algebra, and differential equations; making connections with other areas of applied mathematics where parial differe
Teaching Mathematics to Civil Engineers
Sharp, J. J.; Moore, E.
1977-01-01
This paper outlines a technique for teaching a rigorous course in calculus and differential equations which stresses applicability of the mathematics to problems in civil engineering. The method involves integration of subject matter and team teaching. (SD)
Experimental Mathematics and Mathematical Physics
Energy Technology Data Exchange (ETDEWEB)
Bailey, David H.; Borwein, Jonathan M.; Broadhurst, David; Zudilin, Wadim
2009-06-26
One of the most effective techniques of experimental mathematics is to compute mathematical entities such as integrals, series or limits to high precision, then attempt to recognize the resulting numerical values. Recently these techniques have been applied with great success to problems in mathematical physics. Notable among these applications are the identification of some key multi-dimensional integrals that arise in Ising theory, quantum field theory and in magnetic spin theory.
Kodaira, Kunihiko
1996-01-01
This is the translation from the Japanese textbook for the grade 11 course, "General Mathematics". It is part of the easier of the three elective courses in mathematics offered at this level and is taken by about 40% of students. The book covers basic notions of probability and statistics, vectors, exponential, logarithmic, and trigonometric functions, and an introduction to differentiation and integration.
Kleene, Stephen Cole
1967-01-01
Undergraduate students with no prior instruction in mathematical logic will benefit from this multi-part text. Part I offers an elementary but thorough overview of mathematical logic of 1st order. Part II introduces some of the newer ideas and the more profound results of logical research in the 20th century. 1967 edition.
1998-01-01
Version 2.6 Initial typesetting: Carroll Wilde Graphics: David Canright Editing: Elle Zimmerman||Contributed for inclusion in Calhoun by Prof. Charles Therrien This booklet provides convenient access to formulas and other data that are frequently used in mathematics courses. If a more comprehensive reference is needed, see, for example, the STANDARD MATHEMATICAL TABLES published by the Chemical Rubber Company, Cleveland, Ohio.
Canuto, Claudio
2015-01-01
The purpose of the volume is to provide a support textbook for a second lecture course on Mathematical Analysis. The contents are organised to suit, in particular, students of Engineering, Computer Science and Physics, all areas in which mathematical tools play a crucial role. The basic notions and methods concerning integral and differential calculus for multivariable functions, series of functions and ordinary differential equations are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The pedagogical layout echoes the one used in the companion text Mathematical Analysis I. The book’s structure has a specifically-designed modular nature, which allows for great flexibility in the preparation of a lecture course on Mathematical Analysis. The style privileges clarity in the exposition and a linear progression through the theory. The material is organised on two levels. The first, reflected in this book, allows students to grasp the essential ideas, ...
Parshall, Karen Hunger
2002-01-01
Although today's mathematical research community takes its international character very much for granted, this "global nature" is relatively recent, having evolved over a period of roughly 150 years-from the beginning of the nineteenth century to the middle of the twentieth century. During this time, the practice of mathematics changed from being centered on a collection of disparate national communities to being characterized by an international group of scholars for whom the goal of mathematical research and cooperation transcended national boundaries. Yet, the development of an international community was far from smooth and involved obstacles such as war, political upheaval, and national rivalries. Until now, this evolution has been largely overlooked by historians and mathematicians alike. This book addresses the issue by bringing together essays by twenty experts in the history of mathematics who have investigated the genesis of today's international mathematical community. This includes not only develo...
Kim, Young Hee; Seo, Nam Sook; Kang, Hae Young
2006-10-01
The purpose of this study was to identify nicotine dependence, smoking-related attitude, and subjective norms across the stages of change for smoking cessation among adult smokers in a rural area. The subjects were 276 current smokers (male=243, female=33). There were 3 stages of change for smoking cessation: pre-contemplation, contemplation, and preparation stage. Data was collected by an interview or self-reporting from February 12th to March 5th 2004, and analyzed with frequency, percentage, chi- square-test, Fisher's exact probability test, ANOVA, and Scheffe test using the SPSS-PC program. According to the stages of change, 114(41.3%) current smokers were in pre-contemplation, 110(39.9%) in contemplation, and 52(18.8%) in the preparation stage. There was a higher percentage of males than females (chi- square=8.99, p=.011) in the preparation stage. The mean score of the smoking-related attitude (F=7.43, p=.001) and subjective norm(F=27.41, p=.001) were both lowest in the pre-contemplation stage and increased positively during the stages of change for smoking cessation. Based on these findings, the authors recommend that community-based smoking cessation programs should be developed by considering the intention or motives of current smokers and should be initiated in the preparation stage and primarily for male groups.
Laboratories for Teaching of Mathematical Subjects
Berežný, Štefan
2017-01-01
We have adapted our two laboratories at our department based on our research results, which were presented at the conference CADGME 2014 in Halle and published in the journal. In this article we describe the hardware and software structure of the Laboratory 1: LabIT4KT-1: Laboratory of Computer Modelling and the Laboratory 2: LabIT4KT-2:…
FORMATION PROGRAM IN MATHEMATICS AT THE TECHNICAL UNIVERSITY AND THE QUALITY OF KNOWLEDGE
Directory of Open Access Journals (Sweden)
Y. P. Bogomolova
2016-01-01
Full Text Available The aim of the study is to discuss the maintenance of the educational programs for mathematical disciplines existing at the higher school and problems of teaching mathematics at training of specialists of the engineering directions.Activity and competence basis of mathematical education of engineers can not be increased within a tough part of the conservative academic programs in mathematics. Program in mathematics for undergraduate engineering training areas do not meet the needs of engineering professional education. They meet the requirements of educational standards only in form, but in fact, are copies of traditional academic programs of the last century. Absence of accurate recommendations about reconstruction of mathematical chairs of curricula, operating decades habitual for teachers, leads only to formal mechanical reduction of the hours which are taken away on studying of the demanded sections and subjects.Methods. The methods involve analysis, generalization, and written anonymous survey among students.Results and scientific novelty. Analysis of existing programs, the results of their assimilation, and the teaching of mathematics in general leads to the need to put forward new real principles of the program of mathematical disciplines. As such new principles of selection of the content of mathematical preparation the principles of lacunarity, reliability, minimalism, selectivity and ICT-support are offered. The methods of realization of these principles are the following: analysis of competences, analysis of scientific articles and theses on group of the scientific specialties connected with the directions of training, carrying out analogies, interviewing of key experts and teachers, expert estimates, formalization of requirements, etc. Restructuring of mathematics programs is designed to develop logical and algorithmic thinking of engineering students; to cultivate an applied mathematical culture; formation of insight and erudition
Mathematics: A pariah finds a home
Gannon, Terry
2017-10-01
Pariahs are fundamental building blocks in a branch of mathematics called group theory, but seem to be unconnected from both physics and other areas of mathematics. Such a connection has now been identified.
Symbolising the Real of Mathematics Education
Pais, Alexandre
2015-01-01
This text, occasioned by a critical reading of Tony Brown's new book "Mathematics Education and Subjectivity," aims at contributing to the building of a sociopolitical approach to mathematics education based on Lacanian psychoanalysis and Slavoj Žižek's philosophy. Brown has been bringing into the field of mathematics education the work…
Semiotics in the College Mathematics Classroom.
Stage, Frances K.
Although mathematics can be described as a formalized language, the signs and symbols of mathematical representation are subject to individual interpretation, which, if inaccurate, can lead to inhibitions about and interferences with the mathematical learning process. The purpose of this study was to explore communication in an intermediate-level…
Mathematics anxiety among talented students.
Lupkowski, A E; Schumacker, R E
1991-12-01
In order to test the assumption that mathematically talented students show little mathematics anxiety, students participating in an early entrance to college program for talented students were asked to complete the Mathematics Anxiety Rating Scale. Results indicated that these talented students were less math anxious than most unselected college students. However, they were more math anxious than a group of college students majoring in physics. Females in the study showed a tendency to be more math anxious than males (d=-.32), although this finding was not significant. No relationship between level of mathematics anxiety and grades or math anxiety and Scholastic Aptitude Test - Mathematics scores was found for the group of subjects. However, when those relationships were examined for males alone, higher verbal scores and higher grades were associated with lower levels of mathematics anxiety. These relationships were not evident for females.
Mathematical foundations of elasticity
Marsden, Jerrold E
1994-01-01
This advanced-level study approaches mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis. It is directed to mathematicians, engineers and physicists who wish to see this classical subject in a modern setting with examples of newer mathematical contributions. Prerequisites include a solid background in advanced calculus and the basics of geometry and functional analysis.The first two chapters cover the background geometry ― developed as needed ― and use this discussion to obtain the basic results on kinematics and dynamics of con
Concepts of mathematical modeling
Meyer, Walter J
2004-01-01
Appropriate for undergraduate and graduate students, this text features independent sections that illustrate the most important principles of mathematical modeling, a variety of applications, and classic models. Students with a solid background in calculus and some knowledge of probability and matrix theory will find the material entirely accessible. The range of subjects includes topics from the physical, biological, and social sciences, as well as those of operations research. Discussions cover related mathematical tools and the historical eras from which the applications are drawn. Each sec
Zorich, Vladimir A
2016-01-01
This second English edition of a very popular two-volume work presents a thorough first course in analysis, leading from real numbers to such advanced topics as differential forms on manifolds; asymptotic methods; Fourier, Laplace, and Legendre transforms; elliptic functions; and distributions. Especially notable in this course are the clearly expressed orientation toward the natural sciences and the informal exploration of the essence and the roots of the basic concepts and theorems of calculus. Clarity of exposition is matched by a wealth of instructive exercises, problems, and fresh applications to areas seldom touched on in textbooks on real analysis. The main difference between the second and first English editions is the addition of a series of appendices to each volume. There are six of them in the first volume and five in the second. The subjects of these appendices are diverse. They are meant to be useful to both students (in mathematics and physics) and teachers, who may be motivated by different go...
Handley, Bill
2012-01-01
This new, revised edition of the bestselling Speed Mathematics features new chapters on memorising numbers and general information, calculating statistics and compound interest, square roots, logarithms and easy trig calculations. Written so anyone can understand, this book teaches simple strategies that will enable readers to make lightning-quick calculations. People who excel at mathematics use better strategies than the rest of us; they are not necessarily more intelligent. With Speed Mathematics you'll discover methods to make maths easy and fun. This book is perfect for stud
Bird, John
2014-01-01
A practical introduction to the core mathematics required for engineering study and practiceNow in its seventh edition, Engineering Mathematics is an established textbook that has helped thousands of students to succeed in their exams.John Bird's approach is based on worked examples and interactive problems. This makes it ideal for students from a wide range of academic backgrounds as the student can work through the material at their own pace. Mathematical theories are explained in a straightforward manner, being supported by practical engineering examples and applications in order to ensure
Naidoo, N.; Naidoo, R.
2007-01-01
Primary school learners' first encounters with mathematics in a traditional learning environment often create lifelong "math phobia."(Papert 1980) The situation in a country emerging from an oppressive education system designed to educationally disempower the majority of the population is much worse. The typical scenario in a previously…
National Institute of Adult Continuing Education, 2014
2014-01-01
This discussion paper presents the findings of a situational appraisal undertaken by National Institute of Adult Continuing Education (NIACE) for the Gatsby Charitable Foundation and explores whether and how Traineeships can work for Science, Technology, Engineering and Mathematics (STEM) within the context of a Local Enterprise Partnership (LEP)…
Application and the Identity of Mathematics
DEFF Research Database (Denmark)
Jensen, Kasper Bjering Søby
In the paper a conceptual framework for discussing the identity of mathematics as a school subject is constructed with particular emphasize on application of mathematics. The framework is used to analyze the identity of mathematics, as it appears on two different kinds of domains: the political...... system and the teachers. At the end it is discussed whether this frameworks gives us new insights into mathematics teaching. It is concluded that the framework can articulates important aspects....
DEFF Research Database (Denmark)
Blomhøj, Morten
2004-01-01
modelling, however, can be seen as a practice of teaching that place the relation between real life and mathematics into the centre of teaching and learning mathematics, and this is relevant at all levels. Modelling activities may motivate the learning process and help the learner to establish cognitive...... roots for the construction of important mathematical concepts. In addition competences for setting up, analysing and criticising modelling processes and the possible use of models is a formative aim in this own right for mathematics teaching in general education. The paper presents a theoretical...... framework, which has been used for designing modelling courses, analysing students’ modelling activities, identifying learning obstacles in the modelling process and to guide the teachers interaction with the students during their work. This will be illustrated with an example from a developmental project...
Sneyd, James
2009-01-01
There has been a long history of interaction between mathematics and physiology. This book looks in detail at a wide selection of mathematical models in physiology, showing how physiological problems can be formulated and studied mathematically, and how such models give rise to interesting and challenging mathematical questions. With its coverage of many recent models it gives an overview of the field, while many older models are also discussed, to put the modern work in context. In this second edition the coverage of basic principles has been expanded to include such topics as stochastic differential equations, Markov models and Gibbs free energy, and the selection of models has also been expanded to include some of the basic models of fluid transport, respiration/perfusion, blood diseases, molecular motors, smooth muscle, neuroendrocine cells, the baroreceptor loop, turboglomerular oscillations, blood clotting and the retina. Owing to this extensive coverage, the second edition is published in two volumes. ...
Eck, Christof; Knabner, Peter
2017-01-01
Mathematical models are the decisive tool to explain and predict phenomena in the natural and engineering sciences. With this book readers will learn to derive mathematical models which help to understand real world phenomena. At the same time a wealth of important examples for the abstract concepts treated in the curriculum of mathematics degrees are given. An essential feature of this book is that mathematical structures are used as an ordering principle and not the fields of application. Methods from linear algebra, analysis and the theory of ordinary and partial differential equations are thoroughly introduced and applied in the modeling process. Examples of applications in the fields electrical networks, chemical reaction dynamics, population dynamics, fluid dynamics, elasticity theory and crystal growth are treated comprehensively.
Global Journal of Mathematical Sciences
African Journals Online (AJOL)
Global Journal of Mathematical Sciences publishes research work in all areas of mathematical sciences and application at all levels including, but not limited to basic research leading to development of new theories, techniques and application to science, industry and society. The journal aims to promote the exchange of ...
Kolmykova, Liudmila; Korobova, Elena
2017-04-01
Iodine is an essential microelement required for normal functioning of thyroid gland. Natural deficiency of stable iodine is compensated by its active intake by thyroid and provokes its higher irradiation in case of radiation accidents and contamination of the environment by radioiodine isotopes. The bioavailability of both stable and radioactive iodine and the specificity of its uptake by living organisms largely depends on geochemical parameters of the environment related to natural conditions of water migration. The goal of the study was to investigate spatial distribution of iodine in natural water of different chemical composition in relation to typical water-bearing soils and rocks and water fractions in Bryansk areas subjected to radioiodine contamination after the Chernobyl accident and to evaluate contribution of this factor to the occurrence of endemic thyroid diseases among local population inhabiting geochemically different areas of fluvioglacial and loess-like sedimentary rocks. The highest content of iodine (Me=13.3 µg/l) was observed in surface water of landscapes with H-Ca, Ca and H-Ca-Fe classes of water migration. The lowest microelement level (Me=5.25 µg/l) was noted in groundwater of landscapes with H, H-Fe classes of water migration in areas of Paleogene water bearing rocks. Regardless of the type of source and class of water migration up to 90% of the total content of iodide is present in the fraction membrane filtration). Up to 50% of iodine pass to solution containing particles water in areas of loess-like sedimentary rocks hosts the highest levels of iodine where its associated with calcium mineral aquatic complexes and the suspended particles. The obtained data is believed to be useful in explanation of mobility and intake of iodine and its radioactive analogues by rural population living in different geochemical conditions and using local drinking waters. The data should be accounted of in planning prophylactics of endemic diseases and
Frontiers in mathematical biology
1994-01-01
Volume 100, which is the final volume of the LNBM series serves to commemorate the acievements in two decades of this influential collection of books in mathematical biology. The contributions, by the leading mathematical biologists, survey the state of the art in the subject, and offer speculative, philosophical and critical analyses of the key issues confronting the field. The papers address fundamental issues in cell and molecular biology, organismal biology, evolutionary biology, population ecology, community and ecosystem ecology, and applied biology, plus the explicit and implicit mathematical challenges. Cross-cuttting issues involve the problem of variation among units in nonlinear systems, and the related problems of the interactions among phenomena across scales of space, time and organizational complexity.
DEFF Research Database (Denmark)
Sørensen, John Aasted
2010-01-01
The introduction of the mathematics needed for analysis, design and verification of discrete systems, including applications within programming languages for computer systems. Course sessions and project work. Semester: Autumn 2010 Ectent: 5 ects Class size: 15......The introduction of the mathematics needed for analysis, design and verification of discrete systems, including applications within programming languages for computer systems. Course sessions and project work. Semester: Autumn 2010 Ectent: 5 ects Class size: 15...
DEFF Research Database (Denmark)
Sørensen, John Aasted
2010-01-01
The introduction of the mathematics needed for analysis, design and verification of discrete systems, including applications within programming languages for computer systems. Course sessions and project work. Semester: Spring 2010 Ectent: 5 ects Class size: 18......The introduction of the mathematics needed for analysis, design and verification of discrete systems, including applications within programming languages for computer systems. Course sessions and project work. Semester: Spring 2010 Ectent: 5 ects Class size: 18...
Directory of Open Access Journals (Sweden)
Marjana Dolšina
2015-09-01
Full Text Available Programmes of formal education establish a systematic transfer of knowledge as well as universal values from one generation to another. By that, they ensure the survival of social structures, prevent radical disruptions in their continuity, and serve as basis for general development of a society. Their content and didactic arrangements include interweaving of two basic aspects: the cognitive one and the one related to vzgoja (i.e. upbringing, moral/value education etc.. The latter aims to achieve the ideals of a tolerant, just and lifelong learning society, but seems to be facing increasing challenges, mainly emerging from neoliberal capitalist mentality. Art history as a school subject area in elementary and secondary education may provide an insight beneath the surface of historical events. Thus, it helps develop a critical view towards them and consequently towards the present real-life situations, which contributes to ascending the taxonomic scale of conative educational goals.
An Initial Investigation into the Mathematical Background of Those Who Pass the CSET for Mathematics
Berglund, Jorgen
2013-01-01
Faced with a chronic shortage of single-subject mathematics teachers and a directive from the federal legislation "No Child Left Behind" that all students are taught by highly qualified teachers, California instituted a new subject-matter competency exam, the California Subject Exam for Teachers for Mathematics (CSET), and created a new…
Körber, Michael; Schmid, Klaus; Drexler, Hans; Kiesel, Johannes
2017-02-15
Medical and nursing shortages in rural areas represent a current serious public health problem. The healthcare of the rural population is at risk. This study compares perceived workload, job satisfaction and work-life balance of physicians and nurses at a clinic in a rural area with two clinics of a University hospital. Physicians and nurses were interviewed anonymously with a standardized questionnaire (paper and pencil), including questions on job satisfaction, subjective workload and work-life balance. The response rate was almost 50% in the University hospital as well as in the municipal hospital. 32 physicians and 54 nurses from the University hospital and 18 physicians and 137 nurses from the municipal hospital participated in the survey. Nurses at the University hospital assessed the organization of the daily routine with 94.1% as better than those at the municipal hospital (82.4%, p=0.03). Physicians at the University hospital were able to better implement acquired knowledge at a University clinic with 87.5% than their counterparts at the municipal hospital (55.5%, p=0.02). In contrast to their colleagues at the municipal hospital, only 50% of the physicians at the University hospital subjectively considered their workload as just right (83.3% municipal, p=0.02). 96.9% of the physicians at the University hospital were "daily" or "several times a week" under time pressure (municipal 50%, pwork and family life (62.9% University hospital, 72.8% Municipal hospital). In contrast, only 20% of the physicians at the University Hospital but 42.9% of the physicians of the municipal hospital had sufficient opportunities to balance workload and family (p=0.13). The return rate of almost 50% can be described as good. Due to the small number of physicians, especially from the municipal hospital, it can be assumed that some interesting differences could not be detected. There were only slight differences between the nurses from the two hospitals. In contrast, subjective
Applied geometry and discrete mathematics
Sturm; Gritzmann, Peter; Sturmfels, Bernd
1991-01-01
This volume, published jointly with the Association for Computing Machinery, comprises a collection of research articles celebrating the occasion of Victor Klee's sixty-fifth birthday in September 1990. During his long career, Klee has made contributions to a wide variety of areas, such as discrete and computational geometry, convexity, combinatorics, graph theory, functional analysis, mathematical programming and optimization, and theoretical computer science. In addition, Klee made important contributions to mathematics education, mathematical methods in economics and the decision sciences, applications of discrete mathematics in the biological and social sciences, and the transfer of knowledge from applied mathematics to industry. In honor of Klee's achievements, this volume presents more than forty papers on topics related to Klee's research. While the majority of the papers are research articles, a number of survey articles are also included. Mirroring the breadth of Klee's mathematical contributions, th...
Modern problems in insurance mathematics
Martin-Löf, Anders
2014-01-01
This book is a compilation of 21 papers presented at the International Cramér Symposium on Insurance Mathematics (ICSIM) held at Stockholm University in June, 2013. The book comprises selected contributions from several large research communities in modern insurance mathematics and its applications. The main topics represented in the book are modern risk theory and its applications, stochastic modelling of insurance business, new mathematical problems in life and non-life insurance, and related topics in applied and financial mathematics. The book is an original and useful source of inspiration and essential reference for a broad spectrum of theoretical and applied researchers, research students and experts from the insurance business. In this way, Modern Problems in Insurance Mathematics will contribute to the development of research and academy–industry co-operation in the area of insurance mathematics and its applications.
Energy Technology Data Exchange (ETDEWEB)
Glimm, J.
2009-10-14
Progress for the past decade or so has been extraordinary. The solution of Fermat's Last Theorem [11] and of the Poincare Conjecture [1] have resolved two of the most outstanding challenges to mathematics. For both cases, deep and advanced theories and whole subfields of mathematics came into play and were developed further as part of the solutions. And still the future is wide open. Six of the original seven problems from the Clay Foundation challenge remain open, the 23 DARPA challenge problems are open. Entire new branches of mathematics have been developed, including financial mathematics and the connection between geometry and string theory, proposed to solve the problems of quantized gravity. New solutions of the Einstein equations, inspired by shock wave theory, suggest a cosmology model which fits accelerating expansion of the universe possibly eliminating assumptions of 'dark matter'. Intellectual challenges and opportunities for mathematics are greater than ever. The role of mathematics in society continues to grow; with this growth comes new opportunities and some growing pains; each will be analyzed here. We see a broadening of the intellectual and professional opportunities and responsibilities for mathematicians. These trends are also occuring across all of science. The response can be at the level of the professional societies, which can work to deepen their interactions, not only within the mathematical sciences, but also with other scientific societies. At a deeper level, the choices to be made will come from individual mathematicians. Here, of course, the individual choices will be varied, and we argue for respect and support for this diversity of responses. In such a manner, we hope to preserve the best of the present while welcoming the best of the new.
The Language of Mathematics: The Importance of Teaching and Learning Mathematical Vocabulary
Riccomini, Paul J.; Smith, Gregory W.; Hughes, Elizabeth M.; Fries, Karen M.
2015-01-01
Vocabulary understanding is a major contributor to overall comprehension in many content areas, including mathematics. Effective methods for teaching vocabulary in all content areas are diverse and long standing. Teaching and learning the language of mathematics is vital for the development of mathematical proficiency. Students' mathematical…
Hartimo, Mirja
2010-01-01
During Edmund Husserl,s lifetime, modern logic and mathematics rapidly developed toward their current outlook and Husserl,s writings can be fruitfully compared and contrasted with both 19th century figures (Boole, Schroder, Weierstrass) as well as the 20th century characters (Heyting, Zermelo, Godel). Besides the more historical studies, the internal ones on Husserl alone and the external ones attempting to clarify his role in the more general context of the developing mathematics and logic, Husserl,s phenomenology offers also a systematically rich but little researched area of investigation.
Rodriguez-Esquivel, Marina
The contextual demands of language in content area are difficult for ELLS. Content in the native language furthers students' academic development and native language skills, while they are learning English. Content in English integrates pedagogical strategies for English acquisition with subject area instruction. The following models of curriculum content are provided in most Miami Dade County Public Schools: (a) mathematics instruction in the native language with science instruction in English or (b) science instruction in the native language with mathematics instruction in English. The purpose of this study was to investigate which model of instruction is more contextually supportive for mathematics and science achievement. A pretest and posttest, nonequivalent group design was used with 94 fifth grade ELLs who received instruction in curriculum model (a) or (b). This allowed for statistical analysis that detected a difference in the means of .5 standard deviations with a power of .80 at the .05 level of significance. Pretreatment and post-treatment assessments of mathematics, reading, and science achievement were obtained through the administration of Aprenda-Segunda Edicion and the Florida Comprehensive Achievement Test. The results indicated that students receiving mathematics in English and Science in Spanish scored higher on achievement tests in both Mathematics and Science than the students who received Mathematics in Spanish and Science in English. In addition, the mean score of students on the FCAT mathematics examination was higher than their mean score on the FCAT science examination regardless of the language of instruction.
Directory of Open Access Journals (Sweden)
Sandra Regina D'Antonio
2012-11-01
ógica.This paper diagnoses the Teacher Training in Mathematics course from UEM (State University of Maringá, Brazil. The research, using discourse analysis and pedagogical practices was developed through observation of Educational Theory and Practice I, II, III and IV lessons offered to students of the Teacher Training in Mathematics course of UEM, in order to verify what has been the contribution of these subjects in the construction of teacher knowledge and the development of more communicative and reflective classrooms as well as the influence of the discourse of professors in the practice of future teachers, keeping in mind that knowledge construction relies on the use of practices that enable students to publish their thoughts, their ideas, and to compare, negotiate and modify their representations, conceptions and beliefs. From the analysis of the data, we observed that with the open space for student participation, creating differentiated strategies, the teacher has the possibility to redesign, in confrontations, debates and discussions, not only the thought of the students, but their own thoughts in order to make their message clearer and more objective. In order to achieve the desired objectives, a total of 54 classes were observed from June 2010 to November 2011. The described analysis refers to classes of three professors: (A and (B are tenured professors in the department of mathematics whose post-graduation courses (masters and doctorate are in the area of mathematics. The third one, professor (C, is an employee of the department of mathematics, with a Masters in Education for Science and Mathematics Teaching. The three worked in the field of mathematics education, teaching the subjects of Educational Theory and Practice.
Jost, Jürgen
2015-01-01
The main intention of this book is to describe and develop the conceptual, structural and abstract thinking of mathematics. Specific mathematical structures are used to illustrate the conceptual approach; providing a deeper insight into mutual relationships and abstract common features. These ideas are carefully motivated, explained and illustrated by examples so that many of the more technical proofs can be omitted. The book can therefore be used: · simply as an overview of the panorama of mathematical structures and the relations between them, to be supplemented by more detailed texts whenever you want to acquire a working knowledge of some structure · by itself as a first introduction to abstract mathematics · together with existing textbooks, to put their results into a more general perspective · to gain a new and hopefully deeper perspective after having studied such textbooks Mathematical Concepts has a broader scope and is less detaile...
Lectures on Applications-Oriented Mathematics
Friedman, Bernard
2011-01-01
Meets the need for a program of short courses involving the essentials of a number of mathematical topics taken by physics and engineering students. Basically applications-oriented, the courses do include selected topics of abstract mathematics. While several courses can be used as practical appendices to conventional mathematics, others serve as introductions, providing motivation for self-study in areas of conceptual math.
Mathematical Creativity: Psychology, Progress and Caveats
Sriraman, Bharath
2017-01-01
The aim of this paper is to provide a concise survey of advances in the study of the psychology of creativity, with an emphasis on literature that is typically not cited in mathematics education. In spite of claims that mathematical creativity is an ill-defined area of inquiry in mathematics education, the literature from psychology can serve as…
Pre-Service Accounting Teachers' Attitudes to Mathematics
Mkhize, Msizi Vitalis; Maistry, Suriamurthee Moonsamy
2017-01-01
Mathematics proficiency has an acknowledged impact on students' accounting grades. Success in this core business subject is dependent on students' mathematical aptitude, attitude and type of secondary schooling. Our study investigated accounting students' attitudes to mathematics on domains of the Fennema-Sherman Mathematics Attitudes Scales…
TDmat--Mathematics Diagnosis Evaluation Test for Engineering Sciences Students
Pinto, J. S.; Oliveira, M. P.; Anjo, A. B.; Pais, S. I. Vieira; Isidro, R. O.; Silva, M. H.
2007-01-01
Since 1989, the Mathematics Education Project (PmatE--Projecto Matematica Ensino) has developed several strategies to improve the success of students in Mathematics. The most important of these are mathematical games for all grades above primary school. The online evaluation of Mathematics subjects is one of PmatE's goals. The implementation of an…
Rubin, Andrew
2014-01-01
This book presents concise descriptions and analysis of the classical and modern models used in mathematical biophysics. The authors ask the question "what new information can be provided by the models that cannot be obtained directly from experimental data?" Actively developing fields such as regulatory mechanisms in cells and subcellular systems and electron transport and energy transport in membranes are addressed together with more classical topics such as metabolic processes, nerve conduction and heart activity, chemical kinetics, population dynamics, and photosynthesis. The main approach is to describe biological processes using different mathematical approaches necessary to reveal characteristic features and properties of simulated systems. With the emergence of powerful mathematics software packages such as MAPLE, Mathematica, Mathcad, and MatLab, these methodologies are now accessible to a wide audience. Provides succinct but authoritative coverage of a broad array of biophysical topics and models Wr...
Vivaldi, Franco
2014-01-01
This book teaches the art of writing mathematics, an essential -and difficult- skill for any mathematics student. The book begins with an informal introduction on basic writing principles and a review of the essential dictionary for mathematics. Writing techniques are developed gradually, from the small to the large: words, phrases, sentences, paragraphs, to end with short compositions. These may represent the introduction of a concept, the abstract of a presentation or the proof of a theorem. Along the way the student will learn how to establish a coherent notation, mix words and symbols effectively, write neat formulae, and structure a definition. Some elements of logic and all common methods of proofs are featured, including various versions of induction and existence proofs. The book concludes with advice on specific aspects of thesis writing (choosing of a title, composing an abstract, compiling a bibliography) illustrated by large number of real-life examples. Many exercises are included; over 150...
Zorich, Vladimir A
2015-01-01
VLADIMIR A. ZORICH is professor of mathematics at Moscow State University. His areas of specialization are analysis, conformal geometry, quasiconformal mappings, and mathematical aspects of thermodynamics. He solved the problem of global homeomorphism for space quasiconformal mappings. He holds a patent in the technology of mechanical engineering, and he is also known by his book Mathematical Analysis of Problems in the Natural Sciences . This second English edition of a very popular two-volume work presents a thorough first course in analysis, leading from real numbers to such advanced topics as differential forms on manifolds; asymptotic methods; Fourier, Laplace, and Legendre transforms; elliptic functions; and distributions. Especially notable in this course are the clearly expressed orientation toward the natural sciences and the informal exploration of the essence and the roots of the basic concepts and theorems of calculus. Clarity of exposition is matched by a wealth of instructive exercises, problems...
Kolmykova, Lyudmila; Korobova, Elena; Ryzhenko, Boris
2015-04-01
Water is one of the main natural agents providing chemical elements' migration in the environment and food chains. In our opinion a study of spatial variation of the essential trace elements in local drinking water is worth considering as the factor that may contribute to variation of the health risk in areas contaminated by radionuclides and radioiodine in particular. Radioiodine was proved to increase the risk of thyroid cancer among children who lived in areas contaminated during the Chernobyl accident. It was also shown that low stable iodine status of the contaminated area and population also contributed to the risk of this disease in case of radionuclide contamination. The goal of the study was to investigate chemical composition of the drinking water in rural settlements of the Bryansk oblast' subjected to radioiodine contamination and to evaluate speciation of stable I and Se on the basis of their total concentration and chemical composition of the real water samples with the help of thermodynamic modelling. Water samples were collected from different aquifers discharging at different depths (dug wells, local private bore holes and water pipes) in rural settlements located in areas with contrasting soil iodine status. Thermodynamic modelling was performed using original software (HCh code of Y.Shvarov, Moscow State University, RUSSIA) incorporating the measured pH, Corg and elements' concentration values. Performed modelling showed possibility of formation of complex CaI+ ion in aqueous phase, I sorption by goethite and transfer of Se to solid phase as FeSe in the observed pH-Eh conditions. It helped to identify environmental conditions providing high I and Se mobility and their depletion from natural waters. Both the experimental data and modeling showed that I and Se migration and deficiency in natural water is closely connected to pH, Eh conditions and the concentration of typomorphic chemical elements (Ca, Mg, Fe) defining the class of water migration
Mathematics++ selected topics beyond the basic courses
Kantor, Ida; Šámal, Robert
2015-01-01
Mathematics++ is a concise introduction to six selected areas of 20th century mathematics providing numerous modern mathematical tools used in contemporary research in computer science, engineering, and other fields. The areas are: measure theory, high-dimensional geometry, Fourier analysis, representations of groups, multivariate polynomials, and topology. For each of the areas, the authors introduce basic notions, examples, and results. The presentation is clear and accessible, stressing intuitive understanding, and it includes carefully selected exercises as an integral part. Theory is comp
Bartocci, Claudio; Guerraggio, Angelo; Lucchetti, Roberto; Williams, Kim
2011-01-01
Steps forward in mathematics often reverberate in other scientific disciplines, and give rise to innovative conceptual developments or find surprising technological applications. This volume brings to the forefront some of the proponents of the mathematics of the twentieth century, who have put at our disposal new and powerful instruments for investigating the reality around us. The portraits present people who have impressive charisma and wide-ranging cultural interests, who are passionate about defending the importance of their own research, are sensitive to beauty, and attentive to the soci
Green, George
2005-01-01
An almost entirely self-taught mathematical genius, George Green (1793 -1841) is best known for Green's theorem, which is used in almost all computer codes that solve partial differential equations. He also published influential essays, or papers, in the fields of hydrodynamics, electricity, and magnetism. This collection comprises his most significant works.The first paper, ""An Essay on the Application of Mathematical Analysis to the Theories of Electricity and Magnetism,"" which is also the longest and perhaps the most Important, appeared In 1828. It introduced the term potential as desig
Morante, Annette; Djenidi, Valerie; Clark, Helene; West, Susan
2017-01-01
With enrolment and completion rates in the University of Newcastle's online Open Foundation enabling program being considerably higher for women than for men, this case study investigates the engagement of male and female students in two different subject areas. History and Mathematics students' online behaviour is examined to identify whether…
Generating and using moodle quizzes for mathematical topics in engineering education
Blanco Abellán, Mónica; Ginovart Gisbert, Marta
2009-01-01
This poster focuses on the design, implementation and assessment of a range of Moodle quiz question pools. From these pools, we intend to generate quizzes for the compulsory undergraduate subjects of the applied mathematics field included in the first- and second-year syllabus for all branches of Engineering, following the guidelines of the European higher education area.
ELEMENTS OF COMPUTER MATHEMATICS,
MATHEMATICS , COMPUTERS), (*COMPUTERS, MATHEMATICS ), (*NUMERICAL ANALYSIS, COMPUTERS), TABLES(DATA), FUNCTIONS( MATHEMATICS ), EQUATIONS, INTEGRALS, DIFFERENTIAL EQUATIONS, POLYNOMIALS, LEAST SQUARES METHOD, HARMONIC ANALYSIS, USSR
Lapointe, Archie E.; And Others
In 1990-91, 20 countries (Brazil, Canada, China, England, France, Hungary, Ireland, Israel, Italy, Jordan, Korea, Mozambique, Portugal, Scotland, Slovenia, Soviet Union, Spain, Switzerland, Taiwan, and the United States) surveyed the mathematics and science performance of 13-year-old students (and 14 countries also assessed 9-year-olds in the same…
Fujita, Shinsaku
2015-01-01
Chirality and stereogenicity are closely related concepts and their differentiation and description is still a challenge in chemoinformatics. A new stereoisogram approach, developed by the author, is introduced in this book, providing a theoretical framework for mathematical aspects of modern stereochemistry. The discussion covers point-groups and permutation symmetry and exemplifies the concepts using organic molecules and inorganic complexes.
Koch, Laura Coffin
1992-01-01
Outlines a constructivist model for teaching basic mathematical concepts and processes to underprepared college students. Explores five types of classroom interaction incorporated into the model, including peer teaching, interactive teaching, and independent learning. Reports on an assessment of the constructivist approach at the University of…
YENİLMEZ, KÜRŞAT; GİRİT, Dilek
2013-01-01
Purpose: There are mathematical behaviors in all levels from the preschool education to higher education programs. These behaviors are in mathematics curriculum as objectives. Elementary Mathematics (6-8th grades) curriculum was developed in 2005 at last and applied gradually from the 6th grade in 2006-2007 academic year. Thematic approach was considered in regulating context in new mathematics curriculum and determined learning domains and sub learning domains. Some subjects were taken o...
Mathematical foundations of image processing and analysis
Pinoli, Jean-Charles
2014-01-01
Mathematical Imaging is currently a rapidly growing field in applied mathematics, with an increasing need for theoretical mathematics. This book, the second of two volumes, emphasizes the role of mathematics as a rigorous basis for imaging sciences. It provides a comprehensive and convenient overview of the key mathematical concepts, notions, tools and frameworks involved in the various fields of gray-tone and binary image processing and analysis, by proposing a large, but coherent, set of symbols and notations, a complete list of subjects and a detailed bibliography. It establishes a bridg
Mathematical thinking styles of undergraduate students and their achievement in mathematics
Risnanosanti
2017-08-01
The main purpose of this study is to analyze the role of mathematical thinking styles in students' achievement in mathematics. On the basis of this study, it is also to generate recommendation for classroom instruction. The two specific aims are; first to observe students' mathematical thinking styles during problem solving, the second to asses students' achievement in mathematics. The data were collected by using Mathematical Thinking Styles questionnaires and test of students' achievement in mathematics. The subject in this study was 35 students from third year at mathematics study program of Muhammadiyah University of Bengkulu in academic year 2016/2017. The result of this study was that the students have three mathematical thinking styles (analytic, visual, and integrated), and the students who have analytic styles have better achievement than those who have visual styles in mathematics.
The language of mathematics telling mathematical tales
Barton, Bill
2008-01-01
Everyday mathematical ideas are expressed differently in different languages. This book probes those differences and explores their implications for mathematics education, arguing for alternatives to how we teach and learn mathematics.
Ministerio de Educacion, Guatemala City (Guatemala). Direccion de Bienestar Estudiantil y Educacion Especial.
This booklet presents specification tables illustrating the relative importance given to topics on tests within a particular subject area. The general subject areas are social studies, Spanish, mathematics, and natural sciences. Tables are provided for final exams in each of these areas for several primary grades, illustrating the importance of…
Mathematics education and the dignity of being
DEFF Research Database (Denmark)
Valero, Paola; García, Gloria; Camelo, Francisco
2012-01-01
classrooms. We illustrate a pedagogical possibility to move towards a mathematics education for social subjectivity with our work in reassembling the notion of geometrical space in the Colombian secondary school mathematics curriculum with notions of space from critical geography and the problem...... the dilemma of how the historical insertion of school mathematics in relation to the Colonial project of assimilation of Latin American indigenous peoples into the episteme of the Enlightenment and Modernity is in conflict with the possibility of the promotion of a social subjectivity in mathematics...
Mathematics education and the dignity of being
Directory of Open Access Journals (Sweden)
Paola Valero
2012-08-01
Full Text Available On the grounds of our work as researchers, teacher educators and teachers engaging with a socio-political approach in mathematics education in Colombia, we propose to understand democracy in terms of the possibility of constructing a social subjectivity for the dignity of being. We address the dilemma of how the historical insertion of school mathematics in relation to the Colonial project of assimilation of Latin American indigenous peoples into the episteme of the Enlightenment and Modernity is in conflict with the possibility of the promotion of a social subjectivity in mathematics classrooms. We illustrate a pedagogical possibility to move towards a mathematics education for social subjectivity with our work in reassembling the notion of geometrical space in the Colombian secondary school mathematics curriculum with notions of space from critical geography and the problem of territorialisation, and Latin American epistemology with the notion of intimate space as an important element of social subjectivity.
Noncommutative mathematics for quantum systems
Franz, Uwe
2016-01-01
Noncommutative mathematics is a significant new trend of mathematics. Initially motivated by the development of quantum physics, the idea of 'making theory noncommutative' has been extended to many areas of pure and applied mathematics. This book is divided into two parts. The first part provides an introduction to quantum probability, focusing on the notion of independence in quantum probability and on the theory of quantum stochastic processes with independent and stationary increments. The second part provides an introduction to quantum dynamical systems, discussing analogies with fundamental problems studied in classical dynamics. The desire to build an extension of the classical theory provides new, original ways to understand well-known 'commutative' results. On the other hand the richness of the quantum mathematical world presents completely novel phenomena, never encountered in the classical setting. This book will be useful to students and researchers in noncommutative probability, mathematical physi...
Sierpinska, Anna
1994-01-01
The concept of understanding in mathematics with regard to mathematics education is considered in this volume, the main problem for mathematics teachers being how to facilitate their students'' understanding of the mathematics being taught.
Directory of Open Access Journals (Sweden)
A. Popov Sergey
2017-01-01
Full Text Available For the time being, a combat-capable trainer aircraft has already been used as a light attack aircraft. The quality of mission effectiveness evaluation depends on the degree of relevance of mathematical models used. It is known that the mis- sion efficiency is largely determined by maneuvering capabilities of the aircraft which are realized most fully in extreme angle of attack flight modes. The article presents the study of the effect of Reynolds number, angle of attack and position on the external sling on the parameters characterizing the state of separated-vortex flow, which was conducted using soft- ware complexes such as Solid Works and Ansys Fluent. There given the dependences of the observed parameters for sta- tionary and nonstationary cases of light attack aircraft movement. The article considers the influence of time constants, which characterize the response rate and delaying of separated flow development and attached flow recovery on the state of separated-vortex flow. The author mentions how the speed of angle of attack change influences lift coefficient of a light attack aircraft with external slings due to response rate and delaying of separated flow development and attached flow recovery. The article describes the mathematical model invented by the authors. This is the model of the movements of light attack aircraft with external slings within a vertical flight maneuver, considering the peculiarities of separated-vortex flow. Using this model, there has been obtained the parameters of light attack aircraft output path from the pitch using large an- gles of attack. It is demonstrated that not considering the peculiarities of the separated-vortex flow model of light attack aircraft movements leads to certain increase of height loss at the pullout of the maneuver, which accordingly makes it pos- sible to decrease the height of the beginning of the pullout.
Zhang, Xiaofei; Khan, Arshad A; Haq, Ehtesham Ul; Rahim, Aadil; Hu, Dayi; Attia, John; Oldmeadow, Christopher; Ma, Xiaoyan; Ding, Rongjing; Boyle, Andrew J
2017-01-01
We sought to ascertain the changes in mortality from ischaemic heart disease (IHD) from 2004 to 2010 in China as the sheer size of China's population makes disease patterns relevant globally. Data on IHD mortality were obtained from the Chinese Centre for Disease Control and Prevention National Disease Surveillance Point System, which includes 161 counties and a population of over 73 million-a representative sample of over 6% of the entire population of China. Both crude and World Health Organization (WHO)-standardized IHD mortality increased, in both men and women and in both urban and rural locations, during the study period, demonstrating the effect of urbanization, economic growth, and epidemiological transition on cardiovascular health. WHO-standardized IHD mortality increased for rural males by 9.2% per year (95% CI: 6.7-11.7%; P < 0.0001), and the trend was statistically significantly higher (P = 0.0001) than in urban males by 6.4% per year (95% CI: 3-10%; P = 0.02). WHO-standardized IHD mortality rate increased for rural females by 7.0% per year (95% CI: 4.6-9.4%; P < 0.0001); this was statistically significantly higher than urban females by 4.3% per year (95% CI: 1-8%; P = 0.02). The age group over 80 years showed the greatest increase in IHD mortality. Mortality from IHD is increasing in China, in contrast to decreasing in other countries. This is largely driven by increasing IHD mortality in rural areas and subjects over 80 years old. This needs urgent attention by public health workers and policymakers.
Mathematical summary for digital signal processing applications with Matlab
Gopi, E S
2010-01-01
Mathematical Summary for Digital Signal Processing Applications with Matlab consists of Mathematics which is not usually dealt with in the DSP core subject, but used in DSP applications. It gives Matlab programs with illustrations.
Driessche, Pauline; Wu, Jianhong
2008-01-01
Based on lecture notes of two summer schools with a mixed audience from mathematical sciences, epidemiology and public health, this volume offers a comprehensive introduction to basic ideas and techniques in modeling infectious diseases, for the comparison of strategies to plan for an anticipated epidemic or pandemic, and to deal with a disease outbreak in real time. It covers detailed case studies for diseases including pandemic influenza, West Nile virus, and childhood diseases. Models for other diseases including Severe Acute Respiratory Syndrome, fox rabies, and sexually transmitted infections are included as applications. Its chapters are coherent and complementary independent units. In order to accustom students to look at the current literature and to experience different perspectives, no attempt has been made to achieve united writing style or unified notation. Notes on some mathematical background (calculus, matrix algebra, differential equations, and probability) have been prepared and may be downlo...
Energy Technology Data Exchange (ETDEWEB)
Robinson, H.P.; Potter, Elinor
1971-03-01
This collection of mathematical data consists of two tables of decimal constants arranged according to size rather than function, a third table of integers from 1 to 1000, giving some of their properties, and a fourth table listing some infinite series arranged according to increasing size of the coefficients of the terms. The decimal values of Tables I and II are given to 20 D.
Dealing with mathematical anxiety: Should one size fit all?
Warwick, J.
2017-01-01
© The Author(s).Many students who have to study mathematics as an enabling subject within higher education experience mathematical anxiety to a greater or lesser extent. This affliction can impact student learning and achievement in mathematics and so a number of strategies have been suggested for alleviating mathematical anxiety or at least moderating its effects. This paper reports on a comparison of the mathematical anxiety experienced by two groups of students each studying a different su...
Kasting, Martha F.
This document consists of two major sections. The first of these is actually three units that look at applications of arithmetic to business. Basic pre-algebra mathematics is an assumed prerequisite. These units are titled: 367-The Real Numbers; 368-Fractions and Their Uses: Ratio and Proportion; and 369-Exponents: Powers and Roots. Each module…
Proof Auditing Formalised Mathematics
Directory of Open Access Journals (Sweden)
Mark Miles Adams
2016-01-01
Full Text Available The first three formalisations of major mathematical proofs have heralded a new age in formalised mathematics, establishing that informal proofs at the limits of what can be understood by humans can be checked by machine. However, formalisation itself can be subject to error, and yet there is currently no accepted process in checking, or even much concern that such checks have not been performed. In this paper, we motivate why we should be concerned about correctness, and argue the need for proof auditing, to rigorously and independently check a formalisation. We discuss the issues involved in performing an audit, and propose an effective and efficient auditing process. Throughout we use the Flyspeck Project, that formalises the Kepler Conjecture proof, to illustrate our point.
Mathematics and communication skills using educational software in math classes
Directory of Open Access Journals (Sweden)
Marjolis Laffita-Cuza
2017-04-01
Full Text Available The current transformations conceive among others, to form in the race of Mathematics-Physics a professor who imparts indistinctly the subjects of Mathematics and Physics in the upper secondary education from the third year of this race which requires putting more emphasis in the orientation of those Subjects to achieve greater professionalism. The present paper approaches from the theoretical aspects the essential aspects in the educational process of the learning of mathematics for the Mathematics-Physics career of the university of pedagogical sciences such as mathematical communicative competences and the use of educational software, all in function of achieving A greater development of student's mathematical logical thinking.
Directory of Open Access Journals (Sweden)
Ajogbeje Oke James
2013-07-01
Full Text Available The urge to excel or perform maximally in mathematics varies from individual to individual because achievement motivation is often developed or learnt during socialization and learning experiences. The study examined the relationship between College of Education students’ achievement motivation and mathematics achievement, correlation coefficient between mathematics anxiety and college students’ achievement motivation as well as mathematics anxiety and mathematics achievement. The sample, 268 College of Education students offering mathematics as one of their subject combination, was selected using purposive sampling techniques. Three research instruments namely: Mathematics Anxiety Scale (MAS, Achievement Motivation Scale (AMS and Mathematics Achievement Test (MAT were used to collect data for the study. Data collected for the study were analyzed using correlational analysis and ANOVA. The results showed that a significantly low negative correlation coefficient existed between mathematics anxiety and mathematics achievement. There is a negative and significant correlation coefficient between mathematics anxiety and achievement motivation. Similarly, a positive and significant correlation coefficient also exists between achievement motivation and mathematics achievement. Based on the findings of the study, it was recommended that mathematics teachers should adopt activity based strategies and conducive learning environment in order to reduce college students’ anxieties in mathematics learning.
Mathematics from the birth of numbers
Gullberg, Jan
1997-01-01
This extraordinary work takes the reader on a long and fascinating journey--from the dual invention of numbers and language, through the major realms of arithmetic, algebra, geometry, trigonometry, and calculus, to the final destination of differential equations, with excursions into mathematical logic, set theory, topology, fractals, probability, and assorted other mathematical byways. The book is unique among popular books on mathematics in combining an engaging, easy-to-read history of the subject with a comprehensive mathematical survey text. Intended, in the author's words, "for the benefit of those who never studied the subject, those who think they have forgotten what they once learned, or those with a sincere desire for more knowledge," it links mathematics to the humanities, linguistics, the natural sciences, and technology. Contains more than 1000 original technical illustrations, a multitude of reproductions from mathematical classics and other relevant works, and a generous sprinkling of humorous...
Does Time Matter in Improving Mathematical Discussions? The Influence of Mathematical Autonomy
Kosko, Karl W.; Wilkins, Jesse L. M.
2015-01-01
Facilitating students' transition from less to more mathematically productive engagement in discussions is an important area of investigation. Research on mathematical whole-class discussions has consistently identified facilitating students' mathematical autonomy as a central component of this transition. Additionally, research commonly infers…
Martins, Ana Margarida; Vera-Licona, Paola; Laubenbacher, Reinhard
2008-01-01
This article describes a mathematical biology workshop given to secondary school teachers of the Danville area in Virginia, USA. The goal of the workshop was to enable teams of teachers with biology and mathematics expertise to incorporate lesson plans in mathematical modelling into the curriculum. The biological focus of the activities is the…
Mathematics Teachers' Use of Ethnomathematics Approach in Mathematics Teaching in Edo State
Aikpitanyi, Lucky Aiwuyor; Eraikhuemen, Lucy
2017-01-01
The study investigated mathematics teachers' use of ethnomathematics approach to teaching. Descriptive survey research was used with a target population of all mathematics teacher in all public secondary schools in Oredo, Egor and Ikpoba-Okha local government areas of Edo State out of which 121 mathematics teachers in 42 randomly selected public…
The functions of mathematical physics
Hochstadt, Harry
2012-01-01
A modern classic, this clearly written, incisive textbook provides a comprehensive, detailed survey of the functions of mathematical physics, a field of study straddling the somewhat artificial boundary between pure and applied mathematics.In the 18th and 19th centuries, the theorists who devoted themselves to this field - pioneers such as Gauss, Euler, Fourier, Legendre, and Bessel - were searching for mathematical solutions to physical problems. Today, although most of the functions have practical applications, in areas ranging from the quantum-theoretical model of the atom to the vibrating
Problem solving through recreational mathematics
Averbach, Bonnie
1999-01-01
Historically, many of the most important mathematical concepts arose from problems that were recreational in origin. This book takes advantage of that fact, using recreational mathematics - problems, puzzles and games - to teach students how to think critically. Encouraging active participation rather than just observation, the book focuses less on mathematical results than on how these results can be applied to thinking about problems and solving them. Each chapter contains a diverse array of problems in such areas as logic, number and graph theory, two-player games of strategy, solitaire ga
Mankiewicz, Richard
2000-01-01
Questioning how mathematics has evolved over the centuries and for what reasons; how human endeavour and changes in the way we live have been dependent on mathematics, this book tells the story of the impact this intellectual activity has had across cultures and civilizations. It shows how, far from being just the obsession of an elite group of philosophers, priests and scientists, mathematics has in some shape or other entered every area of human activity. The mysterious tally sticks of prehistoric peoples and the terrestial maps used for trade, exploration and warfare; the perennial fascination with the motions of heavenly bodies and changing perspectives on the art and science of vision; all are testament to a mathematics at the heart of history. The path of this changing discipline is marked by a wealth of images, from medieval manuscripts to the unsettling art of Dali or Duchamp, from the austere beauty of Babylonian clay tablets to the delicate complexity of computer-generated images. The text encompass...
Teachers' Mathematics as Mathematics-at-Work
Bednarz, Nadine; Proulx, Jérôme
2017-01-01
Through recognising mathematics teachers as professionals who use mathematics in their workplace, this article traces a parallel between the mathematics enacted by teachers in their practice and the mathematics used in workplaces found in studies of professionals (e.g. nurses, engineers, bankers). This parallel is developed through the five…
Mathematical Modeling of Diverse Phenomena
Howard, J. C.
1979-01-01
Tensor calculus is applied to the formulation of mathematical models of diverse phenomena. Aeronautics, fluid dynamics, and cosmology are among the areas of application. The feasibility of combining tensor methods and computer capability to formulate problems is demonstrated. The techniques described are an attempt to simplify the formulation of mathematical models by reducing the modeling process to a series of routine operations, which can be performed either manually or by computer.
Connecting mathematics learning through spatial reasoning
Mulligan, Joanne; Woolcott, Geoffrey; Mitchelmore, Michael; Davis, Brent
2017-07-01
Spatial reasoning, an emerging transdisciplinary area of interest to mathematics education research, is proving integral to all human learning. It is particularly critical to science, technology, engineering and mathematics (STEM) fields. This project will create an innovative knowledge framework based on spatial reasoning that identifies new pathways for mathematics learning, pedagogy and curriculum. Novel analytical tools will map the unknown complex systems linking spatial and mathematical concepts. It will involve the design, implementation and evaluation of a Spatial Reasoning Mathematics Program (SRMP) in Grades 3 to 5. Benefits will be seen through development of critical spatial skills for students, increased teacher capability and informed policy and curriculum across STEM education.
Mathematical theories of distributed sensor networks
Iyengar, Sitharama S; Balakrishnan, N
2014-01-01
Mathematical Theory of Distributed Sensor Networks demonstrates how mathematical theories can be used to provide distributed sensor modeling and to solve important problems such as coverage hole detection and repair. The book introduces the mathematical and computational structure by discussing what they are, their applications and how they differ from traditional systems. The text also explains how mathematics are utilized to provide efficient techniques implementing effective coverage, deployment, transmission, data processing, signal processing, and data protection within distributed sensor networks. Finally, the authors discuss some important challenges facing mathematics to get more incite to the multidisciplinary area of distributed sensor networks.
The mathematics behind biological invasions
Lewis, Mark A; Potts, Jonathan R
2016-01-01
This book investigates the mathematical analysis of biological invasions. Unlike purely qualitative treatments of ecology, it draws on mathematical theory and methods, equipping the reader with sharp tools and rigorous methodology. Subjects include invasion dynamics, species interactions, population spread, long-distance dispersal, stochastic effects, risk analysis, and optimal responses to invaders. While based on the theory of dynamical systems, including partial differential equations and integrodifference equations, the book also draws on information theory, machine learning, Monte Carlo methods, optimal control, statistics, and stochastic processes. Applications to real biological invasions are included throughout. Ultimately, the book imparts a powerful principle: that by bringing ecology and mathematics together, researchers can uncover new understanding of, and effective response strategies to, biological invasions. It is suitable for graduate students and established researchers in mathematical ecolo...
Appreciation of Mathematics through Origami
Wares, Arsalan
2013-01-01
The purpose of this classroom note is to provide an example of how a simple origami box can be used to explore important mathematical concepts in geometry like surface area. This article describes how an origami box can be folded from a rectangular sheet of paper, then it goes on to describe how its surface area can be determined in terms of the…
DEFF Research Database (Denmark)
Mogensen, Arne; Georgiev, Vladimir; Ulovec, Andreas
To encourage many more young people to appreciate the real nature and spirit of mathematics and possibly to be enrolled in mathematics study it is important to involve them in doing mathematics (not just learning about mathematics). This goal could be achieved if mathematics teachers are prepared...... to identify and work with mathematically gifted students (without loosing the rest). The book offers chapters on gifted students, mathematical competences and other issues....
Stereotype Endorsement And Mathematics-Related Behaviour ...
African Journals Online (AJOL)
Stereotype Endorsement And Mathematics-Related Behaviour Among Female Secondary School Students In The Kingdom Of Lesotho. ... The results of appropriate data analyses to test thirteen research hypotheses showed a low level of stereotype endorsement of Mathematics as a male-only subject among the girls but ...
Mathematics and Social Justice: A Symbiotic Pedagogy
Bond, Gareth; Chernoff, Egan J.
2015-01-01
Mathematics can be defined as "the science of pattern and order" (Van de Walle, Folk, Karp, & Bay-Williams, 2009, p. 10). But because there is often a perceived spectrum of approachability to mathematics (based on common misconceptions that envision the subject as a sort of elitist wizardry) it is important to bear in mind different…
Computers in the Mathematics Curriculum: Spreadsheets | Mereku ...
African Journals Online (AJOL)
Today school mathematics stresses the place of information technology, i.e. calculators and computers, in the development of mathematical concepts in students. Calculators (i.e. ordinary, scientific and/or graphic) and computers can be used to provide an ideal environment for teaching the subject. This paper examines ...
Face to Face Mulling Over Mathematics
Indian Academy of Sciences (India)
Srimath
FACE-TO-FACE . While mathematics appears to many as an obscure subject dissociated with real life issues, no one can deny its pure and exacting nature. It is my feeling that mathematicians (especially those working in pure mathematics) view numbers differently from the rest of us. This difference is not determined.
The Myth of Objectivity in Mathematics Assessment.
Romagnano, Lew
2001-01-01
Investigates meaningful assessment to give teachers information on students' understanding of mathematical ideas and how their understanding changes over time. Presents examples collected from a teacher-made quiz, the Advanced Placement calculus test, and the SAT-I Mathematics test. Illustrates both the inherent subjectivity of these methods and…
A beginner's guide to mathematical logic
Smullyan, Raymond M
2014-01-01
Combining stories of great philosophers, quotations, and riddles with the fundamentals of mathematical logic, this new textbook for first courses in mathematical logic was written by the subject's creative master. Raymond Smullyan offers clear, incremental presentations of difficult logic concepts with creative explanations and unique problems related to proofs, propositional logic and first-order logic, undecidability, recursion theory, and other topics.
Improving Intuition Skills with Realistic Mathematics Education
Hirza, Bonita; Kusumah, Yaya S.; Darhim; Zulkardi
2014-01-01
The intention of the present study was to see the improvement of students' intuitive skills. This improvement was seen by comparing the Realistic Mathematics Education (RME)-based instruction with the conventional mathematics instruction. The subject of this study was 164 fifth graders of elementary school in Palembang. The design of this study…
Roots of Mathematics Anxiety in College Students
Quan-Lorey, Stephanie
2017-01-01
A majority of college students exhibit feelings of fear and discomfort when put into situations that require the use of mathematics. These students are characterized to be mathematics-anxious and tend to overlook the idea that one can gain many benefits from learning the subject. This paper investigates the various factors that have led to and…
Influence Of Specialized Mathematical Language On Secondary ...
African Journals Online (AJOL)
Secondary school students in Kenya have continued to perform poorly in mathematics at the Kenya Certificate of Secondary Education (KCSE) national examinations. This continues to raise concern for all stakeholders in education due to the importance they attach to mathematics, a subject that is compulsory for all ...
Mathematical Methods of Game and Economic Theory
Aubin, J-P
1982-01-01
This book presents a unified treatment of optimization theory, game theory and a general equilibrium theory in economics in the framework of nonlinear functional analysis. It not only provides powerful and versatile tools for solving specific problems in economics and the social sciences but also serves as a unifying theme in the mathematical theory of these subjects as well as in pure mathematics itself.
Ganesh, A
2009-01-01
About the Book: This book Engineering Mathematics-II is designed as a self-contained, comprehensive classroom text for the second semester B.E. Classes of Visveswaraiah Technological University as per the Revised new Syllabus. The topics included are Differential Calculus, Integral Calculus and Vector Integration, Differential Equations and Laplace Transforms. The book is written in a simple way and is accompanied with explanatory figures. All this make the students enjoy the subject while they learn. Inclusion of selected exercises and problems make the book educational in nature. It shou
Mathematical physics classical mechanics
Knauf, Andreas
2018-01-01
As a limit theory of quantum mechanics, classical dynamics comprises a large variety of phenomena, from computable (integrable) to chaotic (mixing) behavior. This book presents the KAM (Kolmogorov-Arnold-Moser) theory and asymptotic completeness in classical scattering. Including a wealth of fascinating examples in physics, it offers not only an excellent selection of basic topics, but also an introduction to a number of current areas of research in the field of classical mechanics. Thanks to the didactic structure and concise appendices, the presentation is self-contained and requires only knowledge of the basic courses in mathematics. The book addresses the needs of graduate and senior undergraduate students in mathematics and physics, and of researchers interested in approaching classical mechanics from a modern point of view.
Canuto, Claudio
2015-01-01
The purpose of the volume is to provide a support for a first course in Mathematics. The contents are organised to appeal especially to Engineering, Physics and Computer Science students, all areas in which mathematical tools play a crucial role. Basic notions and methods of differential and integral calculus for functions of one real variable are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The layout has a specifically-designed modular nature, allowing the instructor to make flexible didactical choices when planning an introductory lecture course. The book may in fact be employed at three levels of depth. At the elementary level the student is supposed to grasp the very essential ideas and familiarise with the corresponding key techniques. Proofs to the main results befit the intermediate level, together with several remarks and complementary notes enhancing the treatise. The last, and farthest-reaching, level requires the additional study of ...
Improving University Students' Perception of Mathematics and Mathematics Ability
Directory of Open Access Journals (Sweden)
Shelly L. Wismath
2015-01-01
Full Text Available Although mathematical and quantitative reasoning skills are an essential part of adult life in our society, many students arrive at post-secondary education without such skills. Taking a standard mathematics course such as calculus may do little to improve those skills. Using a modification of the Tapia & Marsh questionnaire, we surveyed 62 students taking a broad quantitative reasoning course designed to develop quantitative skills, with respect to two broad attitudinal areas: students’ perception of their own ability, confidence and anxiety, and their perception of the value of mathematics in their studies and their lives. Pre- to post-course comparisons were done by both paired t-tests and Wilcoxon signed-rank tests. Our results showed a significant increase in confidence and decrease in anxiety, while perception of the value of mathematics was already high and changed little by the end of the course.
Theoretical Basics of Teaching Discrete Mathematics
Directory of Open Access Journals (Sweden)
Y. A. Perminov
2012-01-01
Full Text Available The paper deals with the research findings concerning the process of mastering the theoretical basics of discrete mathematics by the students of vocational pedagogic profile. The methodological analysis is based on the subject and functions of the modern discrete mathematics and its role in mathematical modeling and computing. The modern discrete mathematics (i.e. mathematics of the finite type structures plays the important role in modernization of vocational training. It is especially rele- vant to training students for vocational pedagogic qualifications, as in the future they will be responsible for training the middle and the senior level specialists in engineer- ing and technical spheres. Nowadays in different industries, there arise the problems which require for their solving both continual – based on the classical mathematical methods – and discrete modeling. The teaching course of discrete mathematics for the future vocational teachers should be relevant to the target qualification and aimed at mastering the mathematical modeling, systems of computer mathematics and computer technologies. The author emphasizes the fundamental role of mastering the language of algebraic and serial structures, as well as the logical, algorithmic, combinatory schemes dominating in dis- crete mathematics. The guidelines for selecting the content of the course in discrete mathematics are specified. The theoretical findings of the research can be put into practice whilst developing curricula and working programs for bachelors and masters’ training.
Attitudes of psychology freshmen to mathematics
Directory of Open Access Journals (Sweden)
Tenjović Lazar R.
2004-01-01
Full Text Available Two components of the attitude towards mathematics were examined on the groups of psychology and ethnology freshmen using the Attitude to Mathematics Questionnaire by L. Aiken: Enjoyments in mathematics and Value of Mathematics. The means of the psychology students on the two components of the attitude towards mathematics were almost in the middle between those of the civil engineering students on the one side, and those of the ethnology students on the other side. However, considering the markedly asymmetric result distributions on specific components of the attitude towards mathematics, with a view of more real positioning of the psychology students compared with the remaining two groups according to their relation to mathematics, all the subjects were clustered pursuant to their answers to the respective Questionnaire items. The cluster analysis results lead to the conclusion that in their attitude towards mathematics most of the psychology freshmen are closer to the students of those faculties who use mathematics as basic ''tools'' than to the students freshly enrolled in other fields traditionally not employing mathematical ''tools'' in their work. Likewise, a positive attitude towards mathematics prevails in the psychology freshmen.
Affective Productions of Mathematical Experience
Walshaw, Margaret; Brown, Tony
2012-01-01
In underscoring the affective elements of mathematics experience, we work with contemporary readings of the work of Spinoza on the politics of affect, to understand what is included in the cognitive repertoire of the Subject. We draw on those resources to tell a pedagogical tale about the relation between cognition and affect in settings of…
Authenticity of Mathematical Modeling
Tran, Dung; Dougherty, Barbara J.
2014-01-01
Some students leave high school never quite sure of the relevancy of the mathematics they have learned. They fail to see links between school mathematics and the mathematics of everyday life that requires thoughtful decision making and often complex problem solving. Is it possible to bridge the gap between school mathematics and the mathematics in…
Index Theory with Applications to Mathematics and Physics
DEFF Research Database (Denmark)
Booss-Bavnbek, Bernhelm; Bleecker, David
Index Theory with Applications to Mathematics and Physics describes, explains, and explores the Index Theorem of Atiyah and Singer, one of the truly great accomplishments of twentieth-century mathematics whose influence continues to grow, fifty years after its discovery. The Index Theorem has given...... birth to many mathematical research areas and exposed profound connections between analysis, geometry, topology, algebra, and mathematical physics. Hardly any topic of modern mathematics stands independent of its influence....
Mathematical paradigms of climate science
Cannarsa, Piermarco; Jones, Christopher; Portaluri, Alessandro
2016-01-01
This book, featuring a truly interdisciplinary approach, provides an overview of cutting-edge mathematical theories and techniques that promise to play a central role in climate science. It brings together some of the most interesting overview lectures given by the invited speakers at an important workshop held in Rome in 2013 as a part of MPE2013 (“Mathematics of Planet Earth 2013”). The aim of the workshop was to foster the interaction between climate scientists and mathematicians active in various fields linked to climate sciences, such as dynamical systems, partial differential equations, control theory, stochastic systems, and numerical analysis. Mathematics and statistics already play a central role in this area. Likewise, computer science must have a say in the efforts to simulate the Earth’s environment on the unprecedented scale of petabytes. In the context of such complexity, new mathematical tools are needed to organize and simplify the approach. The growing importance of data assimilation te...
Anton, J. M.; Grau, J. B.; Colombo, F.; de Los Rios, L.; Tarquis, A. M.
2009-04-01
That area in the Province of Salta at North West of Argentina has a size not smaller than Belgium and low growing population, and is a specific example of combined natural, ecologic, agricultural and human evolution, where a main restriction is the necessity to avoid desertification, that is the soil quality loss studied now in several forums, the U.N.O. having said "Desertification has a very high incidence in the environmental and food security, socioeconomic stability and world sustained development". It is one of FAO's most important preoccupations as hunger in the world is increasing. Multiple factors are involved on it. Ones are in relation with natural phenomena like water and wind erosion. Others with human activities linked to soil use and water management, and finally with inappropriate activities. The parallel 24° S is central and sun is intense, annual rain is between 1000mm to 600mm being lower at East, and climate is agreable for humans specially at dry season from May to November. The soils came mostly as large deposits from rivers, from Andes Mountains, the large study area is rather flat with low mountains at SW, otherwise altitude is from 500m at NW to 200 at SE. The Bermejo is the greater river and at cross from NW to SE and has elevated land and consequently has migrated 50-100 km to NE letting a smaller channel in previous course. The city of Salta is out at West, organized since about 1588, and a main road runs N-S at the higher West of the area communicating it with Salta and towards distant Rio de la Plata for commerce, and with Bolivia at Nord. The use of land changes from West, which is now intensely cultivated and uses somewhere water from rivers, to East were the Wichi Indians live primitively and freely in a very large natural area using goats and "chanchos" (pigs) of European origin that grow in big numbers undomesticated, having somehow degraded original natural vegetation that contains now specific shrubs and small trees in areas
Tempelaar, Dirk T.; Gijselaers, Wim H.; Schim van der Loeff, Sybrand; Nijhuis, Jan F. H.
2007-01-01
The question of subject-specificity of achievement motivations is important, both for educational psychology, as well as for educational policy. This study contributes to the investigation of the heterogeneity in achievement motivations in the context of the expectancy-value model. Whereas existing research deals with middle and high school…
Silveira, Anelise; Armijo-Olivo, Susan; Gadotti, Inae C; Magee, David
2014-01-01
To compare the masticatory and cervical muscle tenderness and pain sensitivity in the hand (remote region) between patients with temporomandibular disorders (TMD) and healthy controls. Twenty female subjects were diagnosed with chronic TMD, and 20 were considered healthy. Subjects completed the Neck Disability Index and Limitations of Daily Functions in a TMD questionnaire. Tenderness of the masticatory and cervical muscles and pain sensitivity in the hand were measured using an algometer. Three-way mixed analysis of variance (ANOVA) evaluated differences in muscle tenderness between groups. One-way ANOVA compared pain sensitivity in the hand between groups. Effect sizes were assessed using Cohen guidelines. Significantly increased masticatory and cervical muscle tenderness and pain sensitivity in the hand were found in subjects with TMD when compared with healthy subjects. Moderate to high effect sizes showed the clinical relevance of the findings. The results of this study have highlighted the importance of assessing TMD patients not only in the craniofacial region but also in the neck and other parts of the body. Future studies should focus on testing the effectiveness of treatments addressing the neck and the pain sensitivity in the hand in patients with TMD.
A mathematics sampler topics for the liberal arts
Berlinghoff, William P; Skrien, Dale
2001-01-01
Now in its fifth edition, A Mathematics Sampler presents mathematics as both science and art, focusing on the historical role of mathematics in our culture. It uses selected topics from modern mathematics-including computers, perfect numbers, and four-dimensional geometry-to exemplify the distinctive features of mathematics as an intellectual endeavor, a problem-solving tool, and a way of thinking about the rapidly changing world in which we live. A Mathematics Sampler also includes unique LINK sections throughout the book, each of which connects mathematical concepts with areas of interest th
The Popularisation of Mathematics.
Howson, A. G.; And Others
1988-01-01
This article announces a study by the International Commission on Mathematical Instruction (ICMI) concerning the public image of mathematics and mathematicians. Discusses the general frameworks, features, and methods of the popularization of mathematics. (YP)
Critical issues in mathematics education major contributions of Alan Bishop
Presmeg, Norma C; Presmeg, Norma C
2008-01-01
Here are presented the contributions of Professor Alan Bishop within the mathematics education research community. Six critical issues in the development of mathematics education research are reviewed and the current developments in each area are discussed.
Figures of thought mathematics and mathematical texts
Reed, David
2003-01-01
Examines the ways in which mathematical works can be read as texts, examines their textual strategiesand demonstrates that such readings provide a rich source of philosophical debate regarding mathematics.
Nature of an "Attitudes toward Learning Mathematics" Questionnaire
Wong, Khoon Yoong; Chen, Qian
2012-01-01
Students' attitudes toward mathematics and its learning have been subject to numerous studies in the past six decades. These studies treat such attitudes as both desirable learning outcomes and correlates of mathematics achievement. Many Likert-type attitude scales have been devised to measure significant constructs underlying mathematics-related…
Research on Mathematical Animation Using Pascal Animation as an Example
Weng, Ting-Sheng; Yang, Der-Ching
2017-01-01
Most students thinking mathematics is a difficult subject. This study aims to enhance students' motivation and efficiency in learning mathematics. This study developed 3D animation on the binomial theorem with historical stories of mathematics as the plot. It also examined the effect of animation on students' learning willingness and…
Pre-service accounting teachers' attitudes to mathematics | Mkhize ...
African Journals Online (AJOL)
Mathematics proficiency has an acknowledged impact on students' accounting grades. Success in this core business subject is dependent on students' mathematical aptitude, attitude and type of secondary schooling. Our study investigated accounting students' attitudes to mathematics on domains of the ...
Emotion, Confidence, Perception and Expectation Case of Mathematics
Dogan, Hamide
2012-01-01
Students' concerns about mathematics can significantly affect their ability to learn the subject. In particular, their anxieties and attitudes can greatly affect how they perceive their own mathematical competence, and in return, this may make them reluctant to pursue mathematical studies. Many researchers believe in the role of active learning…
The discursive production of classroom mathematics
Smith, Kim; Hodson, Elaine; Brown, Tony
2013-09-01
School mathematics is a function of its discursive environment where the language being used formats mathematical activity. The paper explores this theme through an extended example in which the conduct of mathematical teaching and learning is restricted by regulative educational policies. It considers how mathematics is discursively produced by student teachers within an employment-based model of teacher education in England where there is a low university input. It is argued that teacher reflections on mathematical learning and teaching within the course are patterned discursively in line with formal curriculum framings, assessment requirements and the local demands of their placement school. Both teachers and students are subject to regulative discourses that shape their actions and as a consequence this regulation influences the forms of mathematical activity that can take place. It is shown how university sessions can provide a limited critical platform from which to interrogate these restrictions and renegotiate them.
A readable introduction to real mathematics
Rosenthal, Daniel; Rosenthal, Peter
2014-01-01
Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas in an elementary and friendly fashion. The fundamental purpose of this book is to engage the reader and to teach a real understanding of mathematical thinking while conveying the beauty and elegance of mathematics. The text focuses on teaching the understanding of mathematical proofs. The material covered has applications both to mathematics and to other subjects. The book contains a large number of exercises of varying difficulty, designed to help reinforce basic concepts and to motivate and challenge the reader. The sole prerequisite for understanding the text is basic high school algebra; some trigonometry is needed for Chapters 9 and 12. Topics covered include: * mathematical induction * modular arithmetic * the fundamental theorem of arithmetic * Fermat's little theorem * RSA encryption * the Euclidean algorithm * rational and irrational numbers * complex numbers * cardinality * Euclidean pl...
Mathematics related anxiety: Mathematics bogeyman or not?
Videnović, Marina; Radišić, Jelena
2011-01-01
Data of the PISA 2003 survey indicate high levels of mathematics anxiety of students in Serbia. More than half of our students worry whether they will have difficulties in mathematics class or whether they will earn poor marks. Aims of this study therefore are: examining relationship between math anxiety and achievement at mathematics literacy scale; establishing possible predictors of math anxiety and identification of students' groups in relations to their relationship towards mathematics a...
Mathematical foundations of biomechanics.
Niederer, Peter F
2010-01-01
The aim of biomechanics is the analysis of the structure and function of humans, animals, and plants by means of the methods of mechanics. Its foundations are in particular embedded in mathematics, physics, and informatics. Due to the inherent multidisciplinary character deriving from its aim, biomechanics has numerous connections and overlapping areas with biology, biochemistry, physiology, and pathophysiology, along with clinical medicine, so its range is enormously wide. This treatise is mainly meant to serve as an introduction and overview for readers and students who intend to acquire a basic understanding of the mathematical principles and mechanics that constitute the foundation of biomechanics; accordingly, its contents are limited to basic theoretical principles of general validity and long-range significance. Selected examples are included that are representative for the problems treated in biomechanics. Although ultimate mathematical generality is not in the foreground, an attempt is made to derive the theory from basic principles. A concise and systematic formulation is thereby intended with the aim that the reader is provided with a working knowledge. It is assumed that he or she is familiar with the principles of calculus, vector analysis, and linear algebra.
Developing Digital Technologies for Undergraduate University Mathematics
DEFF Research Database (Denmark)
Triantafyllou, Eva; Timcenko, Olga
2013-01-01
Our research effort presented in this paper relates with developing digital tools for mathematics education at undergraduate university level. It focuses specifically on studies where mathematics is not a core subject but it is very important in order to cope with core subjects. For our design, we...... during lectures and exercise time. During these observations we were able to investigate how the applets were used in practice but also to get insight in the challenges that the students face during mathematics learning. These findings together with student feedback inspire the next round of design...
Rodriguez-Blanco, Cleofás; Cocera-Morata, Francisco Miguel; Heredia-Rizo, Alberto Marcos; Ricard, François; Almazán-Campos, Ginés; Oliva-Pascual-Vaca, Ángel
2015-08-01
To assess the immediate effects on vertical mouth opening, orofacial mechanosensitivity, and lumbar and suboccipital mobility after adding a myofascial induction technique to a multimodal protocol in subjects with temporomandibular disorders (TMD). A randomized and double-blind controlled trial was carried out. University-based physical therapy research clinic. Sixty subjects (35±11.22 years) with TMD, and restricted mobility of the mandibular condyles and the first cervical vertebrae, were recruited and randomized to either a control group (CG) (n=30) or an experimental group (EG) (n=30). The CG underwent a neuromuscular technique over the masseter muscles and passive hamstring muscle stretching. A suboccipital muscle inhibition technique was added to this protocol in the EG. Primary measurements were made of vertical mouth opening and pressure pain threshold of the masseter muscles. Secondary outcome measures included pressure algometry of the trigeminal nerve, suboccipital range of motion, and lumbar spine mobility, assessed with the sit-and-reach (SAR) test and lumbar forward bending. All evaluations were collected at baseline and immediately after intervention. In the intragroup comparison, the EG observed an increase in suboccipital flexion (p0.05). The inclusion of a myofascial induction maneuver in a protocol combining local (neuromuscular treatment) and distal techniques (hamstring stretching) in subjects with TMD has no impact on improving mouth opening, suboccipital and lumbar mobility, and orofacial sensitivity to mechanical pressure.
Technology Integration in Mathematics Education: Examining the Quality of Meta-Analytic Research
Directory of Open Access Journals (Sweden)
Jamaal Rashad Young
2017-02-01
Full Text Available The aim of this study was to evaluate the methodological quality of meta-analyses in mathematics education research. Computerized searches were conducted in ERIC, PsycINFO, ProQuest, and JSTOR through January 2016 for meta-analyses pertinent to technology integration in the mathematics classroom. To identify studies, mathematics subject matter terms such as ‘systematic review’, literature review’ and ‘meta-analysis’ were used. Retrieved studies were screened, extracted, and the methodological quality was evaluated using the 11-item Revised Assessment of Multiple Systematic Reviews (R-AMSTAR. The characteristics of meta-analyses associated with the methodological reporting quality were identified. Results suggest that on average the quality of methodological reporting is good, but there are several areas of concern. Implications are provided to improve research and classroom practice in this area.
A refresher course in mathematics
Camm, F J
2003-01-01
Readers wishing to renew and extend their acquaintance with a variety of branches of mathematics will find this volume a practical companion. Geared toward those who already possess some familiarity with its subjects, the easy-to-follow explanations and straightforward tone make this book highly accessible. The contents are arranged logically and in order of difficulty: fractions, decimals, square and cube root, the metric system, algebra, quadratic and cubic equations, graphs, and the calculus are among the topics. Explanations of mathematical principles are followed by worked examples, and t
Mathematical methods of classical physics
Cortés, Vicente
2017-01-01
This short primer, geared towards students with a strong interest in mathematically rigorous approaches, introduces the essentials of classical physics, briefly points out its place in the history of physics and its relation to modern physics, and explains what benefits can be gained from a mathematical perspective. As a starting point, Newtonian mechanics is introduced and its limitations are discussed. This leads to and motivates the study of different formulations of classical mechanics, such as Lagrangian and Hamiltonian mechanics, which are the subjects of later chapters. In the second part, a chapter on classical field theories introduces more advanced material. Numerous exercises are collected in the appendix.
Mathematical Story: A Metaphor for Mathematics Curriculum
Dietiker, Leslie
2015-01-01
This paper proposes a theoretical framework for interpreting the content found in mathematics curriculum in order to offer teachers and other mathematics educators comprehensive conceptual tools with which to make curricular decisions. More specifically, it describes a metaphor of "mathematics curriculum as story" and defines and…
Mathematical Modelling Approach in Mathematics Education
Arseven, Ayla
2015-01-01
The topic of models and modeling has come to be important for science and mathematics education in recent years. The topic of "Modeling" topic is especially important for examinations such as PISA which is conducted at an international level and measures a student's success in mathematics. Mathematical modeling can be defined as using…
Ellis, G F R
1993-01-01
Many topics were covered in the submitted papers, showing much life in this subject at present. They ranged from conventional calculations in specific cosmological models to provocatively speculative work. Space and time restrictions required selecting from them, for summarisation here; the book of Abstracts should be consulted for a full overview.
A Study of Visualization for Mathematics Education
Daugherty, Sarah C.
2008-01-01
Graphical representations such as figures, illustrations, and diagrams play a critical role in mathematics and they are equally important in mathematics education. However, graphical representations in mathematics textbooks are static, Le. they are used to illustrate only a specific example or a limited set. of examples. By using computer software to visualize mathematical principles, virtually there is no limit to the number of specific cases and examples that can be demonstrated. However, we have not seen widespread adoption of visualization software in mathematics education. There are currently a number of software packages that provide visualization of mathematics for research and also software packages specifically developed for mathematics education. We conducted a survey of mathematics visualization software packages, summarized their features and user bases, and analyzed their limitations. In this survey, we focused on evaluating the software packages for their use with mathematical subjects adopted by institutions of secondary education in the United States (middle schools and high schools), including algebra, geometry, trigonometry, and calculus. We found that cost, complexity, and lack of flexibility are the major factors that hinder the widespread use of mathematics visualization software in education.
Mathematics Turned inside out: The Intensive Faculty versus the Extensive Faculty
Grcar, Joseph F.
2011-01-01
Research universities in the United States have larger mathematics faculties outside their mathematics departments than inside. Members of this "extensive" faculty conduct most mathematics research, their interests are the most heavily published areas of mathematics, and they teach this mathematics in upper division courses independent…
de Villiers, Johan
2012-01-01
The approximation of a continuous function by either an algebraic polynomial, a trigonometric polynomial, or a spline, is an important issue in application areas like computer-aided geometric design and signal analysis. This book is an introduction to the mathematical analysis of such approximation, and, with the prerequisites of only calculus and linear algebra, the material is targeted at senior undergraduate level, with a treatment that is both rigorous and self-contained. The topics include polynomial interpolation; Bernstein polynomials and the Weierstrass theorem; best approximations in
Advanced engineering mathematics
Kreyszig, Erwin
1972-01-01
Introducing those areas of mathematics which are most important to practical problem solving in the field, this book pays particular attention to ordinary differential equations, linear algebra and vector analysis, complex analysis, and numerical methods. Fourier series and partial differential equations are also covered thoroughly. The problem sets in this edition have been updated and revised to give greater weight to modeling, phase-plane and numerical multi-step methods, and applications. Each section includes examples and problems illustrating concepts, methods and results, and their engineering applications.
Rudolph, Lee
2012-01-01
In this book Lee Rudolph brings together international contributors who combine psychological and mathematical perspectives to analyse how qualitative mathematics can be used to create models of social and psychological processes. Bridging the gap between the fields with an imaginative and stimulating collection of contributed chapters, the volume updates the current research on the subject, which until now has been rather limited, focussing largely on the use of statistics. Qualitative Mathematics for the Social Sciences contains a variety of useful illustrative figures, in
A Study on Gendered Portrayals in Children's Picture Books with Mathematical Content
Directory of Open Access Journals (Sweden)
Patricia R. Ladd
2011-12-01
Full Text Available This study analyzes sexism in children's picture books that incorporate mathematical problems and problem-solving into the plot to determine if children's earliest reading material is affecting the achievement gap between males and females in this subject area. The study focused not just on overall totals of male and female characters, but also analyzed which genders most often portrayed gender stereotyped behaviors and personality traits and which characters were most often shown with mathematical skills. The findings of the study show that there were twice as many male as female characters, and the math problem-solving was generally done by males in the majority of titles.
Ebrahimi, Ahmad; Kia, Reza; Komijan, Alireza Rashidi
2016-01-01
In this article, a novel integrated mixed-integer nonlinear programming model is presented for designing a cellular manufacturing system (CMS) considering machine layout and part scheduling problems simultaneously as interrelated decisions. The integrated CMS model is formulated to incorporate several design features including part due date, material handling time, operation sequence, processing time, an intra-cell layout of unequal-area facilities, and part scheduling. The objective function is to minimize makespan, tardiness penalties, and material handling costs of inter-cell and intra-cell movements. Two numerical examples are solved by the Lingo software to illustrate the results obtained by the incorporated features. In order to assess the effects and importance of integration of machine layout and part scheduling in designing a CMS, two approaches, sequentially and concurrent are investigated and the improvement resulted from a concurrent approach is revealed. Also, due to the NP-hardness of the integrated model, an efficient genetic algorithm is designed. As a consequence, computational results of this study indicate that the best solutions found by GA are better than the solutions found by B&B in much less time for both sequential and concurrent approaches. Moreover, the comparisons between the objective function values (OFVs) obtained by sequential and concurrent approaches demonstrate that the OFV improvement is averagely around 17 % by GA and 14 % by B&B.
Boom, H.P.W.; van Spronsen, P.H.; van Ginkel, F.C.; van Schijndel, R.A.; Castelijns, J.A.; Tuinzing, D.B.
2008-01-01
Objective In humans, the vertical craniofacial dimensions vary significantly with the size of the jaw muscles, which are regarded as important controlling factors of craniofacial growth. The functional relevance of the maximum cross-sectional area (CSA), indicating maximum muscle strength, is
van Spronsena, P. H.; van Ginkel, F. C.; van Schijndel, R. A.; Castelijns, J. A.; Tuinzing, D. B.
Objective: In humans, the vertical craniofacial dimensions vary significantly with the size of the jaw muscles, which are regarded as important controlling factors of craniofacial growth. The functional relevance of the maximum cross-sectional area (CSA), indicating maximum muscle strength, is
Boom, H.P.; van Spronsen, P.H.; van Ginkel, F.C.; van Schijndel, R.A.; Castelijns, J.A.; Tuinzing, D.B.
2008-01-01
Objective: In humans, the vertical craniofacial dimensions vary significantly with the size of the jaw muscles, which are regarded as important controlling factors of craniofacial growth. The functional relevance of the maximum cross-sectional area (CSA), indicating maximum muscle strength, is
Directory of Open Access Journals (Sweden)
Karp Kjell
2011-07-01
Full Text Available Abstract Background Directed ultrasonic screening for carotid stenosis is cost-effective in populations with > 5% prevalence of the diagnosis. Occasionally, calcifications in the area of the carotid arteries are incidentally detected on odontological panoramic radiographs. We aimed to determine if directed screening for carotid stenosis with ultrasound is indicated in individuals with such calcifications. Methods This was a cross-sectional study. Carotid ultrasound examinations were performed on consecutive persons, with findings of calcifications in the area of the carotid arteries on panoramic radiography that were otherwise eligible for asymptomatic carotid endarterectomy. Results Calcification in the area of the carotid arteries was seen in 176 of 1182 persons undergoing panoramic radiography. Of these, 117 fulfilled the inclusion criterion and were examined with carotid ultrasound. Eight persons (6.8%; 95% CI 2.2-11.5% had a carotid stenosis - not significant over the 5% pre-specified threshold (p = 0.232, Binomial test. However, there was a significant sex difference (p = 0.008, as all stenoses were found in men. Among men, 12.5% (95%CI 4.2-20.8% had carotid stenosis - significantly over the 5% pre-specified threshold (p = 0.014, Binomial test. Conclusions The incidental finding of calcification in the area of the carotid arteries on panoramic radiographs should be followed up with carotid screening in men that are otherwise eligible for asymptomatic carotid endarterectomy. Trial Registration The study was registered at http://www.clinicaltrials.gov; NCT00514644
Finnas, Leif
2012-01-01
As a part of a larger project, this study focused primarily on Finland-Swedish ninth-graders' "productive" arts experiences (involving music-making, acting, writing, painting/drawing, dancing), as these had been reported when the pupils had been asked to write down descriptions of "strong" experiences in arts areas (music,…
Grau, J. B.; Antón, J. M.; Tarquis, A. M.; Colombo, F.; de Los Ríos, L.; Cisneros, J. M.
2010-11-01
Multi-criteria Decision Analysis (MCDA) is concerned with identifying the values, uncertainties and other issues relevant in a given decision, its rationality, and the resulting optimal decision. These decisions are difficult because the complexity of the system or because of determining the optimal situation or behaviour. This work will illustrate how MCDA is applied in practice to a complex problem to resolve such us soil erosion and degradation. Desertification is a global problem and recently it has been studied in several forums as ONU that literally says: "Desertification has a very high incidence in the environmental and food security, socioeconomic stability and world sustained development". Desertification is the soil quality loss and one of FAO's most important preoccupations as hunger in the world is increasing. Multiple factors are involved of diverse nature related to: natural phenomena (water and wind erosion), human activities linked to soil and water management, and others not related to the former. In the whole world this problem exists, but its effects and solutions are different. It is necessary to take into account economical, environmental, cultural and sociological criteria. A multi-criteria model to select among different alternatives to prepare an integral plan to ameliorate or/and solve this problem in each area has been elaborated taking in account eight criteria and five alternatives. Six sub zones have been established following previous studies and in each one the initial matrix and weights have been defined to apply on different criteria. Three multicriteria decision methods have been used for the different sub zones: ELECTRE, PROMETHEE and AHP. The results show a high level of consistency among the three different multicriteria methods despite the complexity of the system studied. The methods are fully described for La Estrella sub zone, indicating election of weights, Initial Matrixes, algorithms used for PROMETHEE, and the Graph of
Understanding connections in the school mathematics curriculum
African Journals Online (AJOL)
Mathematics is developed and contested over time through both language and symbols by social interaction and ... for making connections” across various mathematical content involved within and across learning outcomes. ..... This suggests that integration within learning areas is an ine- vitable activity. What is key here is ...
Mineral potential mapping with mathematical geological models
Porwal, A.K.
2006-01-01
Mathematical geological models are being increasingly used by natural resources delineation and planning agencies for mapping areas of mineral potential in order to optimize land use in accordance with socio-economic needs of the society. However, a key problem in spatial-mathematical-model-based
Global Journal of Mathematical Sciences: Editorial Policies
African Journals Online (AJOL)
Global Journal of Mathematical Sciences publishes research work in all areas of mathematical sciences and application at all levels including, but not limited to basic research leading to development of new theories, techniques and application to science, industry and society. The journal aims to promote the exchange of ...
Connecting Mathematics Learning through Spatial Reasoning
Mulligan, Joanne; Woolcott, Geoffrey; Mitchelmore, Michael; Davis, Brent
2018-01-01
Spatial reasoning, an emerging transdisciplinary area of interest to mathematics education research, is proving integral to all human learning. It is particularly critical to science, technology, engineering and mathematics (STEM) fields. This project will create an innovative knowledge framework based on spatial reasoning that identifies new…
Profile of mathematics anxiety of 7th graders
Udil, Patrisius Afrisno; Kusmayadi, Tri Atmojo; Riyadi
2017-08-01
Mathematics anxiety is one of the important factors affect students mathematics achievement. This present research investigates profile of students' mathematics anxiety. This research focuses on analysis and description of students' mathematics anxiety level generally and its dominant domain and aspect. Qualitative research with case study strategy was used in this research. Subject in this research involved 15 students of 7th grade chosen with purposive sampling. Data in this research were students' mathematics anxiety scale result, interview record, and observation result during both mathematics learning activity and test. They were asked to complete mathematics anxiety scale before interviewed and observed. The results show that generally students' mathematics anxiety was identified in the moderate level. In addition, students' mathematics anxiety during mathematics test was identified in the high level, but it was in the moderate level during mathematics learning process. Based on the anxiety domain, students have a high mathematics anxiety on cognitive domain, while it was in the moderate level for psychological and physiological domains. On the other hand, it was identified in low level for psychological domain during mathematics learning process. Therefore, it can be concluded that students have serious and high anxiety regarding mathematics on the cognitive domain and mathematics test aspect.
Causal Bayes Model of Mathematical Competence in Kindergarten
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Božidar Tepeš
2016-06-01
Full Text Available In this paper authors define mathematical competences in the kindergarten. The basic objective was to measure the mathematical competences or mathematical knowledge, skills and abilities in mathematical education. Mathematical competences were grouped in the following areas: Arithmetic and Geometry. Statistical set consisted of 59 children, 65 to 85 months of age, from the Kindergarten Milan Sachs from Zagreb. The authors describe 13 variables for measuring mathematical competences. Five measuring variables were described for the geometry, and eight measuring variables for the arithmetic. Measuring variables are tasks which children solved with the evaluated results. By measuring mathematical competences the authors make causal Bayes model using free software Tetrad 5.2.1-3. Software makes many causal Bayes models and authors as experts chose the model of the mathematical competences in the kindergarten. Causal Bayes model describes five levels for mathematical competences. At the end of the modeling authors use Bayes estimator. In the results, authors describe by causal Bayes model of mathematical competences, causal effect mathematical competences or how intervention on some competences cause other competences. Authors measure mathematical competences with their expectation as random variables. When expectation of competences was greater, competences improved. Mathematical competences can be improved with intervention on causal competences. Levels of mathematical competences and the result of intervention on mathematical competences can help mathematical teachers.
Who Succeeds in Mathematics? Caribbean Perspectives on the Mix of Schools and Mathematics
George, Patricia
2012-01-01
Within the Caribbean, there has been a perception that students are underachieving in mathematics. This assessment has seemingly been based amongst other things upon the proportion of students who are successful in mathematics compared to other subjects in external examinations. This notion was investigated in a case study of secondary schools in…
Directory of Open Access Journals (Sweden)
J. B. Grau
2010-11-01
Full Text Available Multi-criteria Decision Analysis (MCDA is concerned with identifying the values, uncertainties and other issues relevant in a given decision, its rationality, and the resulting optimal decision. These decisions are difficult because the complexity of the system or because of determining the optimal situation or behaviour. This work will illustrate how MCDA is applied in practice to a complex problem to resolve such us soil erosion and degradation. Desertification is a global problem and recently it has been studied in several forums as ONU that literally says: "Desertification has a very high incidence in the environmental and food security, socioeconomic stability and world sustained development". Desertification is the soil quality loss and one of FAO's most important preoccupations as hunger in the world is increasing. Multiple factors are involved of diverse nature related to: natural phenomena (water and wind erosion, human activities linked to soil and water management, and others not related to the former. In the whole world this problem exists, but its effects and solutions are different. It is necessary to take into account economical, environmental, cultural and sociological criteria. A multi-criteria model to select among different alternatives to prepare an integral plan to ameliorate or/and solve this problem in each area has been elaborated taking in account eight criteria and five alternatives. Six sub zones have been established following previous studies and in each one the initial matrix and weights have been defined to apply on different criteria. Three multicriteria decision methods have been used for the different sub zones: ELECTRE, PROMETHEE and AHP. The results show a high level of consistency among the three different multicriteria methods despite the complexity of the system studied. The methods are fully described for La Estrella sub zone, indicating election of weights, Initial Matrixes, algorithms used
Psychology's role in mathematics and science education.
Newcombe, Nora S; Ambady, Nalini; Eccles, Jacquelynne; Gomez, Louis; Klahr, David; Linn, Marcia; Miller, Kevin; Mix, Kelly
2009-09-01
Improving mathematics and science education in the United States has been a matter of national concern for over half a century. Psychology has a vital role to play in this enterprise. In this article, the authors review the kinds of contributions that psychology can make in four areas: (a) early understanding of mathematics, (b) understanding of science, (c) social and motivational aspects of involvement in mathematics and science, and (d) assessment of learning in mathematics and science. They also examine challenges to psychology's playing a central and constructive role and make recommendations for overcoming those challenges.
A First Course in Applied Mathematics
Rebaza, Jorge
2012-01-01
Explore real-world applications of selected mathematical theory, concepts, and methods Exploring related methods that can be utilized in various fields of practice from science and engineering to business, A First Course in Applied Mathematics details how applied mathematics involves predictions, interpretations, analysis, and mathematical modeling to solve real-world problems. Written at a level that is accessible to readers from a wide range of scientific and engineering fields, the book masterfully blends standard topics with modern areas of application and provides the needed foundation
University of Toronto mathematics competition (2001–2015)
Barbeau, Edward J
2016-01-01
This text records the problems given for the first 15 annual undergraduate mathematics competitions, held in March each year since 2001 at the University of Toronto. Problems cover areas of single-variable differential and integral calculus, linear algebra, advanced algebra, analytic geometry, combinatorics, basic group theory, and number theory. The problems of the competitions are given in chronological order as presented to the students. The solutions appear in subsequent chapters according to subject matter. Appendices recall some background material and list the names of students who did well. The University of Toronto Undergraduate Competition was founded to provide additional competition experience for undergraduates preparing for the Putnam competition, and is particularly useful for the freshman or sophomore undergraduate. Lecturers, instructors, and coaches for mathematics competitions will find this presentation useful. Many of the problems are of intermediate difficulty and relate to the first two...
Mathematical Attacks on RSA Cryptosystem
Imad K. Salah; Abdullah Darwish; Saleh Oqeili
2006-01-01
In this paper some of the most common attacks against Rivest, Shamir, and Adleman (RSA) cryptosystem are presented. We describe the integer factoring attacks, attacks on the underlying mathematical function, as well as attacks that exploit details in implementations of the algorithm. Algorithms for each type of attacks are developed and analyzed by their complexity, memory requirements and area of usage.
Mathematical modeling in biomedical imaging
2009-01-01
This volume gives an introduction to a fascinating research area to applied mathematicians. It is devoted to providing the exposition of promising analytical and numerical techniques for solving challenging biomedical imaging problems, which trigger the investigation of interesting issues in various branches of mathematics.
Mumcu, Hayal Yavuz
2016-01-01
The purpose of this theoretical study is to explore the relationships between the concepts of using mathematics in the daily life, mathematical applications, mathematical modelling, and mathematical literacy. As these concepts are generally taken as independent concepts in the related literature, they are confused with each other and it becomes…
DEFF Research Database (Denmark)
Hansen, Vagn Lundsgaard
A brief tour through the history of mathematics from the very beginnings to modern times, with an emphasis on the main contributions and important periods of mathematics in various civilizations.......A brief tour through the history of mathematics from the very beginnings to modern times, with an emphasis on the main contributions and important periods of mathematics in various civilizations....
DEFF Research Database (Denmark)
Hansen, Vagn Lundsgaard
2005-01-01
A brief tour through the history of mathematics from the very beginnings to modern times, with an emphasis on the main contributions and important periods of mathematics in various civilizations.......A brief tour through the history of mathematics from the very beginnings to modern times, with an emphasis on the main contributions and important periods of mathematics in various civilizations....
PROFICIENT CLASSROOM MANAGEMENT THROUGH FOCUSED MATHEMATIC TEACHING
Directory of Open Access Journals (Sweden)
Marcus Samuelsson
2017-12-01
Full Text Available A not entirely unusual position among teachers is that they believe that they must first establish a peaceful classroom before they can begin to teach the subject. This research, shows how a proficient mathematics teacher teaches his subject and thereby creates a quiet and focused classroom and exerts effective leadership, just by teaching mathematics. The researchers observed a male mathematics teacher for almost half a year, i.e. one semester. The results of research present several patterns that the researchers saw during the observations of his teaching. The teacher showed an interest in each student’s mathematical thinking and expressed explicitly how students were expected to learn mathematics. He also directed students’ attention to mathematics and established a culture where all solutions were important in the teaching process. In the teaching process, he used multiple representations to motivate students and a lot of supportive expressions that made them feel that they were able to learn mathematics. He worked patiently to establish structures, and there was almost no disruptive behaviour. Students simply did not have time to interfere because they were so engaged in learning mathematics.
DEFF Research Database (Denmark)
Lundgaard Andersen, Linda; Soldz, Stephen
2012-01-01
A major theme in recent psychoanalytic thinking concerns the use of therapist subjectivity, especially “countertransference,” in understanding patients. This thinking converges with and expands developments in qualitative research regarding the use of researcher subjectivity as a tool to understa...
Mathematics education for social justice
Suhendra
2016-02-01
Mathematics often perceived as a difficult subject with many students failing to understand why they learn mathematics. This situation has been further aggravated by the teaching and learning processes used, which is mechanistic without considering students' needs. The learning of mathematics tends to be just a compulsory subject, in which all students have to attend its classes. Social justice framework facilitates individuals or groups as a whole and provides equitable approaches to achieving equitable outcomes by recognising disadvantage. Applying social justice principles in educational context is related to how the teachers treat their students, dictates that all students the right to equal treatment regardless of their background and completed with applying social justice issues integrated with the content of the subject in order to internalise the principles of social justice simultaneously the concepts of the subject. The study examined the usefulness of implementing the social justice framework as a means of improving the quality of mathematics teaching in Indonesia involved four teacher-participants and their mathematics classes. The study used action research as the research methodology in which the teachers implemented and evaluated their use of social justice framework in their teaching. The data were collected using multiple research methods while analysis and interpretation of the data were carried out throughout the study. The findings of the study indicated that there were a number of challengesrelated to the implementation of the social justice framework. The findings also indicated that, the teachers were provided with a comprehensive guide that they could draw on to make decisions about how they could improve their lessons. The interactions among students and between the teachers and the students improved, they became more involved in teaching and learning process. Using social justice framework helped the teachers to make mathematics more
A Multifaceted Mathematical Approach for Complex Systems
Energy Technology Data Exchange (ETDEWEB)
Alexander, F.; Anitescu, M.; Bell, J.; Brown, D.; Ferris, M.; Luskin, M.; Mehrotra, S.; Moser, B.; Pinar, A.; Tartakovsky, A.; Willcox, K.; Wright, S.; Zavala, V.
2012-03-07
Applied mathematics has an important role to play in developing the tools needed for the analysis, simulation, and optimization of complex problems. These efforts require the development of the mathematical foundations for scientific discovery, engineering design, and risk analysis based on a sound integrated approach for the understanding of complex systems. However, maximizing the impact of applied mathematics on these challenges requires a novel perspective on approaching the mathematical enterprise. Previous reports that have surveyed the DOE's research needs in applied mathematics have played a key role in defining research directions with the community. Although these reports have had significant impact, accurately assessing current research needs requires an evaluation of today's challenges against the backdrop of recent advances in applied mathematics and computing. To address these needs, the DOE Applied Mathematics Program sponsored a Workshop for Mathematics for the Analysis, Simulation and Optimization of Complex Systems on September 13-14, 2011. The workshop had approximately 50 participants from both the national labs and academia. The goal of the workshop was to identify new research areas in applied mathematics that will complement and enhance the existing DOE ASCR Applied Mathematics Program efforts that are needed to address problems associated with complex systems. This report describes recommendations from the workshop and subsequent analysis of the workshop findings by the organizing committee.
Mathematics education, democracy and development: Exploring connections
Directory of Open Access Journals (Sweden)
Renuka Vithal
2012-08-01
Full Text Available Mathematics education and its links to democracy and development are explored in this article, with specific reference to the case of South Africa. This is done by engaging four key questions. Firstly, the question of whether mathematics education can be a preparation for democracy and include a concern for development, is discussed by drawing on conceptual tools of critical mathematics education and allied areas in a development context. Secondly, the question of how mathematics education is distributed in society and participates in shaping educational possibilities in addressing its development needs and goals is used to examine the issues emerging from mathematics performance in international studies and the national Grade 12 examination; the latter is explored specifically in respect of the South African mathematics curriculum reforms and teacher education challenges. Thirdly, the question of whether a mathematics classroom can be a space for democratic living and learning that equally recognises the importance of issues of development in contexts like South Africa, as a post-conflict society still healing from its apartheid wounds, continuing inequality and poverty, is explored through pedagogies of conflict, dialogue and forgiveness. Finally the question of whether democracy and development can have anything to do with mathematics content matters, is discussed by appropriating, as a metaphor, South Africa’s Truth and Reconciliation Commission’s framework of multiple ‘truths’, to seek links within and across the various forms and movements in mathematics and mathematics education that have emerged in the past few decades.
Handbook of mathematical methods in imaging
2015-01-01
The Handbook of Mathematical Methods in Imaging provides a comprehensive treatment of the mathematical techniques used in imaging science. The material is grouped into two central themes, namely, Inverse Problems (Algorithmic Reconstruction) and Signal and Image Processing. Each section within the themes covers applications (modeling), mathematics, numerical methods (using a case example) and open questions. Written by experts in the area, the presentation is mathematically rigorous. This expanded and revised second edition contains updates to existing chapters and 16 additional entries on important mathematical methods such as graph cuts, morphology, discrete geometry, PDEs, conformal methods, to name a few. The entries are cross-referenced for easy navigation through connected topics. Available in both print and electronic forms, the handbook is enhanced by more than 200 illustrations and an extended bibliography. It will benefit students, scientists and researchers in applied mathematics. Engineers and com...
Research trends in mathematics teacher education
Lo, Jane-Jane; Zoest, Laura RVan
2014-01-01
Research on the preparation and continued development of mathematics teachers is becoming an increasingly important subset of mathematics education research. Such research explores the attributes, knowledge, skills and beliefs of mathematics teachers as well as methods for assessing and developing these critical aspects of teachers and influences on teaching.Research Trends in Mathematics Teacher Education focuses on three major themes in current mathematics teacher education research: mathematical knowledge for teaching, teacher beliefs and identities, and tools and techniques to support teacher learning. Through careful reports of individual research studies and cross-study syntheses of the state of research in these areas, the book provides insights into teachers' learning processes and how these processes can be harnessed to develop effective teachers. Chapters investigate bedrock skills needed for working with primary and secondary learners (writing relevant problems, planning lessons, being attentive to...
Game Development as Students’ Engagement Project in High School Mathematics
Directory of Open Access Journals (Sweden)
Ryan V. Dio
2015-12-01
Full Text Available The general expectancies of the enhanced basic education curriculum in the Philippines focuses on the performance standards which can be expressed when students are able to produce products as evidence that they can transfer or use their learning in real-life situations. One way to assess students achievement is through an engaging activities that would require them apply the knowledge and skills acquired in the subject as the outcome of their learning. This descriptive method of research employed content analysis procedures and survey in describing and assessing the significant feature of the mathematical games as potential learning devices developed by the high school students through an engaging task assignment. It utilized purposive sampling techniques in the selection of the respondents and the submitted write-ups of mathematical games for analysis as typical sample in this study. The study revealed that the high school students developed mathematical board games with different objectives and mechanics as inspired by their learning, experiences, hobbies, and interest. Mathematical concepts and processes along numbers and number sense, measurements, algebra, geometry, and probability and statistics were integrated in the game through question card and mechanics of the game itself. The groups of students and teachers have high level of agreement as to the workmanship and usability, mechanics and organization, relevance to instruction/learning, and fun and enjoyment of the game as revealed by their assessment from very satisfactory to excellent level. Results implied that teachers in any subject area may use students’ engagement project as teaching strategy to produce products and performance that would provide evidence of students’ learning. The school curriculum makers may consider the students’ output as subjects of research for further improvements, exhibits, and classroom utilization.
An Alternative Triangle Area Strategy
Shockey, T. L.; Zhang, P.; Brosnan, P.
2016-01-01
We explore the mathematics engagement of a group of mathematics coaches, working in k-12 mathematics education. The incenter of a triangle is used to derive an alternative formula for the area of a triangle inspired by Usiskin, Peressini, Marhisotto, and Stanley (2002).
The European mathematical awakening a journey through the history of mathematics from 1000 to 1800
Swetz, Frank J
2013-01-01
A global survey of the history of mathematics, this collection of 32 articles traces the subject from AD 1000 to 1800. Newly corrected and updated essays introduce fascinating studies by Fibonacci, Descartes, Cardano, Galileo, Pascal, Newton, others.
Mathematical classification and clustering
Mirkin, Boris
1996-01-01
I am very happy to have this opportunity to present the work of Boris Mirkin, a distinguished Russian scholar in the areas of data analysis and decision making methodologies. The monograph is devoted entirely to clustering, a discipline dispersed through many theoretical and application areas, from mathematical statistics and combina torial optimization to biology, sociology and organizational structures. It compiles an immense amount of research done to date, including many original Russian de velopments never presented to the international community before (for instance, cluster-by-cluster versions of the K-Means method in Chapter 4 or uniform par titioning in Chapter 5). The author's approach, approximation clustering, allows him both to systematize a great part of the discipline and to develop many in novative methods in the framework of optimization problems. The optimization methods considered are proved to be meaningful in the contexts of data analysis and clustering. The material presented in ...
Boulos, C; Salameh, P; Barberger-Gateau, P
2014-05-01
This study aimed to assess the nutritional status, measured by MNA, and its association with socio-demographic indicators and health related characteristics of a representative sample of community dwelling elderly subjects. Cross-sectional study. Community dwelling elderly individuals living in rural communities in Lebanon. 1200 elderly individuals aged 65 years or more. Socio-demographic indicators and health related characteristics were recorded during a standardized interview. Nutritional status was assessed through Mini Nutritional Assessment (MNA). The 5-item GDS score and the WHO-5-A score were used to assess mood, whereas Mini Mental Status (MMS) was applied to evaluate cognitive status. The prevalence of malnutrition and risk of malnutrition was 8.0% respective 29.1% of the study sample. Malnutrition was significantly more frequent in elderly subjects aged more than 85 years, in females, widowed and illiterate people. Moreover, participants who reported lower financial status were more often malnourished or at risk of malnutrition. Regarding health status, poor nutritional status was more common among those reporting more than three chronic diseases, taking more than three drugs daily, suffering from chronic pain and those who had worse oral health status. Also, depressive disorders and cognitive dysfunction were significantly related to malnutrition. After multivariate analysis following variables remained independently associated to malnutrition: living in the governorate of Nabatieh (ORa 2.30, 95% CI 1.35 -3.93), reporting higher income (ORa 0.77, 95% CI 0.61-0.97), higher number of comorbidities (ORa 1.22, 95% CI 1.12-1.32), chronic pain (ORa 1.72, 95% CI 1.24-2.39), and depressive disorders (ORa 1.66, 95% CI 1.47-1.88). On the other hand, better cognitive functioning was strongly associated with decreased nutritional risk (ORa 0.27, 95%CI 0.17-0.43). Our results highlighted the close relationship between health status and malnutrition. The
Maximilien Brice
2011-01-01
17 January 2011 - British (Cambridge) Trustee of the London Science Museum Chair of the Management Committee of the Newton Institute for Mathematical Sciences H. Covington in the LHCB underground experimental area with A. Schopper; signing the guest book with Director for Accelerators and Technology S. Myers; throughout accompanied by R. Veness.
Modin, Bitte; Ostberg, Viveca; Toivanen, Susanna; Sundell, Knut
2011-02-01
This study explores the psychosocial working conditions of 7930 Swedish 9th grade students, distributed over 475 classes and 130 schools, in relation to their subjective health using multilevel modeling. At the individual level, students with "strained" working conditions in school (i.e. those experiencing a high level of demands in combination with a low level of control) demonstrated significantly worse health compared to students in "low-strain" situations. "Strained" conditions in combination with a weak school-related sense of coherence were especially unfavourable for health. These findings remained significant when support from teachers, school marks, norm-breaking behaviours, family-relations and certain class- and school-contextual conditions were adjusted for. Thus, while demands are an essential part of school work, this study suggests that high levels of control and a strong school-related sense of coherence can protect against the more detrimental effects on health that high demands at school may cause. Copyright Â© 2010 The Association for Professionals in Services for Adolescents. Published by Elsevier Ltd. All rights reserved.
Introduction to mathematics of satisfiability
Marek, Victor W
2009-01-01
Although this area has a history of over 80 years, it was not until the creation of efficient SAT solvers in the mid-1990s that it became practically important, finding applications in electronic design automation, hardware and software verification, combinatorial optimization, and more. Exploring the theoretical and practical aspects of satisfiability, Introduction to Mathematics of Satisfiability focuses on the satisfiability of theories consisting of propositional logic formulas. It describes how SAT solvers and techniques are applied to problems in mathematics and computer science as well
Mathematical Resilience of Mathematics Education Students
Hutauruk, A. J. B.; Priatna, N.
2017-09-01
Difficulties and obstacles in the process of learning mathematics can lead to unpleasant pressures and negative conditions. These negative pressures and conditions can be a bad experience for learners. Resilience is related to students’ affective ability to deal with and be able to overcome obstacles and negative situations in the learning process, turning those negative situations into situations that support them. Resilient students are able to get better learning outcomes than they expect. This paper discusses the level of mathematics education students resilience based on four factors of mathematical resilience. Through this research, it was shown the correlated and the effect of indicators on student’s mathematical resilience, separately and simultaneously. Using Mathematical Resilience Scale obtained the result of the study which describes the resilience level of mathematics education students.
Software for English, Mathematics, and Elementary Classes.
Fleharty, Janet
1985-01-01
The paper provides an overview of the uses of software for teaching language arts, mathematics and thinking skills to hearing impaired students. Content area programs are listed with descriptive information, price, and developer name. (Author/CL)
Connected Knowledge in Science and Mathematics Education
Zohar, Anat
2006-01-01
While the traditional meaning of connected knowledge is valuable in some school subjects, it does not address the main activities of knowledge acquisition in subjects such as physics and mathematics. The goal of this article is to analyze the relationships between the concepts "learning for understanding" and "connected…
Analysing the use of history of mathematics through MKT†
Jankvist, Uffe Thomas; Mosvold, Reidar; Fauskanger, Janne; Jakobsen, Arne
2015-05-01
In this article, we analyse three 'classical' cases of using history of mathematics in teacher training and reinterpret them using the framework of mathematical knowledge for teaching (MKT). We continue with a discussion of the potential benefits of applying MKT as a framework for discussion in research related to the use of history in mathematics education. MKT serves as an example of a framework from general mathematics education research which has something to offer in this respect. We argue that the MKT framework provides a powerful language to communicate results from research on the uses of history of mathematics to researchers in other areas of mathematics education research.
Awareness of Pattern and Structure in Early Mathematical Development
Mulligan, Joanne; Mitchelmore, Michael
2009-01-01
Recent educational research has turned increasing attention to the structural development of young students' mathematical thinking. Early algebra, multiplicative reasoning, and spatial structuring are three areas central to this research. There is increasing evidence that an awareness of mathematical structure is crucial to mathematical competence…
Mathematical Education of Engineers--A Future Perspective.
Bajpai, A. C.; James, D. J. G.
1985-01-01
Topics and issues related to the mathematics education of engineers are discussed. Major areas addressed include industrial requirements; influences on the mathematics curriculum; and problems related to implementing recommendations made concerning changes in the mathematics curriculum. Indicates that a reappraisal of the position of mathematics…
Learners' Approaches to Solving Mathematical Tasks: Does Specialisation Matter?
Machaba, France; Mwakapenda, Willy
2016-01-01
This article emerged from an analysis of learners' responses to a task presented to learners studying Mathematics and Mathematical Literacy (ML) in Gauteng, South Africa. Officially, Mathematics and ML are two separate learning areas. Learners from Grade 10 onwards are supposed to take either one or the other, but not both. This means that by…
Mathematics University Teachers' Perception of Pedagogical Content Knowledge (PCK)
Khakbaz, Azimehsadat
2016-01-01
Teaching mathematics in university levels is one of the most important fields of research in the area of mathematics education. Nevertheless, there is little information about teaching knowledge of mathematics university teachers. Pedagogical content knowledge (PCK) provides a suitable framework to study knowledge of teachers. The purpose of this…
Mathematics without boundaries surveys in pure mathematics
Pardalos, Panos
2014-01-01
The contributions in this volume have been written by eminent scientists from the international mathematical community and present significant advances in several theories, methods and problems of Mathematical Analysis, Discrete Mathematics, Geometry and their Applications. The chapters focus on both old and recent developments in Functional Analysis, Harmonic Analysis, Complex Analysis, Operator Theory, Combinatorics, Functional Equations, Differential Equations as well as a variety of Applications. The book also contains some review works, which could prove particularly useful for a broader audience of readers in Mathematical Sciences, and especially to graduate students looking for the latest information.
The Effects of Constructivist Learning Environment on Prospective Mathematics Teachers' Opinions
Narli, Serkan; Baser, Nes'e
2010-01-01
To explore the effects of constructivist learning environment on prospective teachers' opinions about "mathematics, department of mathematics, discrete mathematics, countable and uncountable infinity" taught under the subject of Cantorian Set Theory in discrete mathematics class, 60 first-year students in the Division of Mathematics…
Kharuddin, Azrul Fazwan; Ismail, Noor Azina
2017-01-01
Integrating technology in the mathematics curriculum has become a necessary task for curriculum developers as well as mathematics practitioners across the world and time. In general research studies seeking a better understanding of how best to integrate mathematics analysis tools with mathematics subject matter normally observe mathematics…
Mathematical Modelling at Secondary School: The MACSI-Clongowes Wood College Experience
Charpin, J. P. F.; O'Hara, S.; Mackey, D.
2013-01-01
In Ireland, to encourage the study of STEM (science, technology, engineering and mathematics) subjects and particularly mathematics, the Mathematics Applications Consortium for Science and Industry (MACSI) and Clongowes Wood College (County Kildare, Ireland) organized a mathematical modelling workshop for senior cycle secondary school students.…
Students attitude towards calculus subject: Bumiputera case-study
Awang, Noorehan; Ilias, Mohd Rijal; Che Hussain, Wan Siti Esah; Mokhtar, Siti Fairus
2013-04-01
Mathematics has always become the most dislike subject among other subjects in school. Study showed that attitudes of students in science subjects such as mathematics were closely related to how they solve problems, accessing ideas and making a right decision. According to another study on mathematics achievement of eighth grade students in Malaysia, mathematics grades among bumiputera students was lower when compared to other races such as Chinese and Indians. The poor performance was due to their attitude and pre-conceived ideas towards the subject. Therefore, this study was designed todetermine the criteria and subcriteria that were considered important in measuring students' attitude toward mathematics among the bumiputeras. Factor analysis was carried out to identify the groups among criterion. Instrument used to measure mathematics attitude was Test of Mathematics Related Attitude (TOMRA) which measured student attitudes in four criteria: normality of mathematics, attitudes towards mathematics inquiry, adoption of mathematics attitude and enjoyment of mathematics lessons. The target population of this study was all computer science and quantitative science students who enrolled Calculus subject in UiTM Kedah. Findings shows that there are two criteria that influenced students attitude toward mathematics namely normality of mathematics with eleven subcriteria and enjoyment of mathematics with eight subcriteria. From the analysis it shows that the total percentage of variation explained is 35.071% with 0.837 Cronbach's alpha reliability test. The findings will help the lecturers, parents and society to consider what action should be taken to install interest and positive attitude of bumiputera students towards mathematics and thus improve their achievement.
Topics in mathematical analysis and applications
Tóth, László
2014-01-01
This volume presents significant advances in a number of theories and problems of Mathematical Analysis and its applications in disciplines such as Analytic Inequalities, Operator Theory, Functional Analysis, Approximation Theory, Functional Equations, Differential Equations, Wavelets, Discrete Mathematics and Mechanics. The contributions focus on recent developments and are written by eminent scientists from the international mathematical community. Special emphasis is given to new results that have been obtained in the above mentioned disciplines in which Nonlinear Analysis plays a central role. Some review papers published in this volume will be particularly useful for a broader readership in Mathematical Analysis, as well as for graduate students. An attempt is given to present all subjects in this volume in a unified and self-contained manner, to be particularly useful to the mathematical community.
Game Design and Development as Mathematical Activities
DEFF Research Database (Denmark)
Jensen, Erik Ottar; Hanghøj, Thorkild; Misfeldt, Morten
2016-01-01
, not by understanding the mathematical content they are designing their games about. This and the authors’ own research have led to a need for articulation of the inherent mathematical activities that exists in game design. This is done through a theoretical framework with three aspects. The first is called domain...... to mathematical activities in two ways; developing computer games though programming languages can relate to algorithmic thinking and systems thinking is related to the game design process. The third aspect is the instrumental approach to computational artifacts mediation as a means of understanding the mediation......In this paper a framework for describing some of the mathematical activities inherent in computer game design is proposed in order to develop a framework for use in a recently conducted pilot study. The paper presents an introduction of previous work on the subject of game design and mathematics...
International Conference on Mathematical Fluid Dynamics
Suzuki, Yukihito
2016-01-01
This volume presents original papers ranging from an experimental study on cavitation jets to an up-to-date mathematical analysis of the Navier-Stokes equations for free boundary problems, reflecting topics featured at the International Conference on Mathematical Fluid Dynamics, Present and Future, held 11–14 November 2014 at Waseda University in Tokyo. The contributions address subjects in one- and two-phase fluid flows, including cavitation, liquid crystal flows, plasma flows, and blood flows. Written by internationally respected experts, these papers highlight the connections between mathematical, experimental, and computational fluid dynamics. The book is aimed at a wide readership in mathematics and engineering, including researchers and graduate students interested in mathematical fluid dynamics.
Computer Algebra Recipes for Mathematical Physics
Enns, Richard H
2005-01-01
Over two hundred novel and innovative computer algebra worksheets or "recipes" will enable readers in engineering, physics, and mathematics to easily and rapidly solve and explore most problems they encounter in their mathematical physics studies. While the aim of this text is to illustrate applications, a brief synopsis of the fundamentals for each topic is presented, the topics being organized to correlate with those found in traditional mathematical physics texts. The recipes are presented in the form of stories and anecdotes, a pedagogical approach that makes a mathematically challenging subject easier and more fun to learn. Key features: * Uses the MAPLE computer algebra system to allow the reader to easily and quickly change the mathematical models and the parameters and then generate new answers * No prior knowledge of MAPLE is assumed; the relevant MAPLE commands are introduced on a need-to-know basis * All MAPLE commands are indexed for easy reference * A classroom-tested story/anecdote format is use...
International Conference on Advances in Applied Mathematics
Hammami, Mohamed; Masmoudi, Afif
2015-01-01
This contributed volume presents some recent theoretical advances in mathematics and its applications in various areas of science and technology. Written by internationally recognized scientists and researchers, the chapters in this book are based on talks given at the International Conference on Advances in Applied Mathematics (ICAAM), which took place December 16-19, 2013, in Hammamet, Tunisia. Topics discussed at the conference included spectral theory, operator theory, optimization, numerical analysis, ordinary and partial differential equations, dynamical systems, control theory, probability, and statistics. These proceedings aim to foster and develop further growth in all areas of applied mathematics.
The mathematical works of Bernard Bolzano
Russ, Steve
2004-01-01
Bernard Bolzano (1781-1848, Prague) was a remarkable thinker and reformer far ahead of his time in many areas, including philosophy, theology, ethics, politics, logic, and mathematics. Aimed at historians and philosophers of both mathematics and logic, and research students in those fields, this volume contains English translations, in most cases for the first time, of many of Bolzano's most significant mathematical writings. - ;Bernard Bolzano (1781-1848, Prague) was a remarkable thinker and reformer far ahead of his time in many areas, including philosophy, theology, ethics, politics, logic,
Mathematics Turned Inside Out: The Intensive Faculty Versus the Extensive Faculty
Grcar, Joseph F.
2011-01-01
Research universities in the United States have larger mathematics faculties outside their mathematics departments than inside. Members of this "extensive" faculty conduct most mathematics research, their interests are the most heavily published areas of mathematics, and they teach this mathematics in upper division courses independent of mathematics departments. The existence of this de facto faculty challenges the pertinence of institutional and national policies for higher education in mat...
Energy Technology Data Exchange (ETDEWEB)
Vieira, Carlos Eduardo Delfino [Laboratório de Ecofisiologia Animal — Departamento de Ciências Fisiológicas, Universidade Estadual de Londrina, Paraná (Brazil); Costa, Patrícia Gomes [Laboratório de Microcontaminantes Orgânicos e Ecotoxicologia — Instituto de Oceanografia, Universidade Federal do Rio Grande, Rio Grande do Sul (Brazil); Lunardelli, Bruna; Fernandes de Oliveira, Luciana [Laboratório de Ecofisiologia Animal — Departamento de Ciências Fisiológicas, Universidade Estadual de Londrina, Paraná (Brazil); Costa Cabrera, Liziara da [Laboratório de Análise de Compostos Orgânicos e Metais — Escola de Química e Alimentos, Universidade Federal do Rio Grande, Rio Grande do Sul (Brazil); Risso, Wagner Ezequiel [Laboratório de Ecofisiologia Animal — Departamento de Ciências Fisiológicas, Universidade Estadual de Londrina, Paraná (Brazil); Primel, Ednei Gilberto [Laboratório de Análise de Compostos Orgânicos e Metais — Escola de Química e Alimentos, Universidade Federal do Rio Grande, Rio Grande do Sul (Brazil); and others
2016-01-15
In order to assess the quality of streams susceptible to contamination by pesticides we apply biochemical and genotoxic biomarkers in the Neotropical fish Prochilodus lineatus submitted to in situ tests. Fish were caged, for 96 h, in two streams located in areas with intensive use of pesticides, the Apertados (AP) and the Jacutinga (JC), and in a small stream (Godoy stream — GD) found inside a forest fragment adjacent to a State Park. Biochemical parameters, such as biotransformation enzymes 7-ethoxyresorufin-O-deethylase (EROD) and glutathione-S-transferase (GST), non-protein thiols (NPSH), lipoperoxidation (LPO), protein carbonylation (PCO) and acetylcholinesterase (AChE) were evaluated in various fish organs, as well as genotoxic biomarkers (damage to DNA and occurrence of micronuclei and erythrocyte nuclear abnormalities). Samples of water and sediment were collected for analysis of metals (Cu, Cr, Pb, Ni, Mn, Cd and Zn), organochloride pesticides, and triazine and glyphosate herbicides. We observed an increase in liver GST activity in fish at AP and gill GST activity in fish at JC. An increase in liver LPO was also observed in fish exposed to AP and JC. The same animals also exhibited increased DNA damage and erythrocyte nuclear abnormalities (ENAs) compared to the fish kept in GD. A number of compounds showed concentrations higher than the permitted levels, in particular, dichlorodiphenyltrichloroethane (DDT), its metabolites dichlorodiphenyldichloroethylene (DDE) and dichlorodiphenyldichloroethane (DDD), hexachlorocyclohexanes (HCH), heptachloride, diclofluanid and aldrins. These pesticides were detected at higher concentrations in water and sediment samples from AP, followed by JC and GD. The Integrated Biomarker Response Index (IBR) indicated that AP and JC (AP: 21.7 > JC: 18.5 > GD: 12.6) have the worst environmental quality. Integrated biomarker analysis revealed that the alterations observed related well with the levels of environmental contaminants
Directory of Open Access Journals (Sweden)
Getulio Teixeira Batista
2011-12-01
Full Text Available To characterize the geological, hydrogeological, hydrochemical, and hydrobacterial aspects of the surface and groundwater in the floodplain of the Paraíba do Sul river in Tremembé municipality, the water levels of the Quaternary sedimentary aquifer experimental site was monitored based on four wells and eight associated piezometers with daily measures of water levels in continuous operation since December 3, 2009. In addition, data from a modular weather station in operation since March 2010 and data from the quality of surface water and groundwater have been analyzed in the period between March 2010 and March 2011. The water balance between April 2010 and March 2011 was estimated to verify the periods of water deficiency and excess. Data loggers installed in the piezometers enabled daily groundwater levels monitoring to establish the influence of the Paraíba do Sul river in the water levels of the Quaternary sedimentary aquifer and also they allowed the determination of the water loss to the atmosphere. A hydrogeological model with simplified equations, based on hydraulics parameters obtained in the wells pump tests, was implemented to calculate the amount of daily evapotranspiration and the average distance of the water loss from the wells to the atmosphere. An evaporation rate of 83.4 m3/h from the open-pit sand mine located at 212.2 m and of 89.2 m3/h for the one at 885.0 m average distance from the monitoring wells were observed. Chemical and bacteriological analysis involving multiple parameters were performed in the period from March 2010 to March 2011 in groundwater collected in wells, in the open-pit mines and in the waters of the Paraíba do Sul river. The results allowed to observe the influences of the Paraíba do Sul river as well as the contamination from fertilizers and pesticides from the agriculture practiced in the floodplain area on the quality of the groundwater.
Remmel, Jeffrey
1995-01-01
Perspicuity is part of proof. If the process by means of which I get a result were not surveyable, I might indeed make a note that this number is what comes out - but what fact is this supposed to confirm for me? I don't know 'what is supposed to come out' . . . . 1 -L. Wittgenstein A feasible computation uses small resources on an abstract computa tion device, such as a 'lUring machine or boolean circuit. Feasible math ematics concerns the study of feasible computations, using combinatorics and logic, as well as the study of feasibly presented mathematical structures such as groups, algebras, and so on. This volume contains contributions to feasible mathematics in three areas: computational complexity theory, proof theory and algebra, with substantial overlap between different fields. In computational complexity theory, the polynomial time hierarchy is characterized without the introduction of runtime bounds by the closure of certain initial functions under safe composition, predicative recursion on nota...
Contributions in mathematics and engineering in honor of Constantin Carathéodory
Rassias, Themistocles
2016-01-01
The contributions in this volume aim to deepen the researcher's understanding of some of the current research problems and theories in modern topics such as calculus of variations, optimization theory, complex analysis, real analysis, differential equations, and geometry. Applications to these areas of mathematics are presented within the broad spectrum of research in Engineering Science with particular emphasis on equilibrium problems, complexity in numerical optimization, dynamical systems, non-smooth optimization, complex network analysis, statistical models and data mining, and energy systems. Additional emphasis is given to interdisciplinary research, although subjects are treated in a unified and self-contained manner. The presentation of methods, theory and applications makes this tribute an invaluable reference for teachers, researchers, and other professionals interested in pure and applied research, philosophy of mathematics, and mathematics education. Some review papers published in this volume wil...
34 CFR 300.10 - Core academic subjects.
2010-07-01
... DISABILITIES General Definitions Used in This Part § 300.10 Core academic subjects. Core academic subjects means English, reading or language arts, mathematics, science, foreign languages, civics and government...
Guide to mathematical tables supplement no 1
Burunova, N M; Fedorova, R M
1960-01-01
A Guide to Mathematical Tables is a supplement to the Guide to Mathematical Tables published by the U.S.S.R. Academy of Sciences in 1956. The tables contain information on subjects such as powers, rational and algebraic functions, and trigonometric functions, as well as logarithms and polynomials and Legendre functions. An index listing all functions included in both the Guide and the Supplement is included.Comprised of 15 chapters, this supplement first describes mathematical tables in the following order: the accuracy of the table (that is, the number of decimal places or significant
Main challenges of residential areas
Directory of Open Access Journals (Sweden)
Oana Luca
2017-06-01
Full Text Available The present article is a position paper aiming to initiate a professional debate related to the aspects related to the urban dysfunctions leading to the wear of the residential areas. The paper proposes a definition of the wear process, identify the main causes leading to its occurrence and propose a number of solutions to neutralise the dysfunctions. The three wearing phases of residential areas components are emphasized, exploring their lifecycle. In order to perform the study of urban wear, the status of the residential areas components can be established and monitored, and also the variables of the function that can mathematically model the specific wear process may be considered. The paper is considered a first step for the model adjustment, to be tested and validated in the following steps. Based on the mathematical method and model, there can be created, in a potential future research, the possibility of determining the precarity degree for residential areas/neighbourhoods and cities, by minimising the subjective component of the analyses preceding the decision for renovation or regeneration.
Mathematics for Language, Language for Mathematics
Prochazkova, Lenka Tejkalova
2013-01-01
The author discusses the balance and mutual influence of the language of instruction and mathematics in the context of CLIL, Content and Language Integrated Learning. Different aspects of the relationship of language and Mathematics teaching and learning are discussed: the benefits of using a foreign language of instruction, as well as the…
Relationship between Mathematics Anxiety and Mathematics ...
African Journals Online (AJOL)
Mathematics Anxiety Questionnaire (MAQ) was used to collect data. Frequency counts, percentages, t-test and Pearson Product Moment Correlation were used in analyzing the data. The results showed that the level of students' mathematics anxiety was above average, and there was negative relationship between ...
Images of Mathematics Held by Undergraduate Students
Directory of Open Access Journals (Sweden)
Basanta Raj Lamichhane
2017-07-01
Full Text Available The purpose of this study was to explore images of mathematics held by undergraduate students and possible influencing factors. The image of mathematics in this study was conceptualized as the mental representations or views of mathematics as undergraduate students experienced during their academic journey through the interaction largely at school. Pierre Bourdieu’s construct of symbolic violence served as the theoretical lens to evaluate the students' images of mathematics. The design of this study was explorative qualitative and interpretive. Semi-structured interview was used to generate data texts from three participants who were senior undergraduate students studying mathematics at an affiliated college of Tribhuvan University in Kathmandu. From the thematic analysis and interpretation of the textual data, four common themes emerged as images of mathematics held by the participants. These themes were – mathematics as difficult and abstract, as decontextualized, as mysterious subject, and as applicable in different fields. The influencing factors on the formation of these images were largely related to the curricular and pedagogical approaches from schools to university classes. These are conventional and disempowering methods of teaching, decontextualized curriculum and textbooks and other teaching learning resources, medium of instruction and nature of mathematics itself.
Directory of Open Access Journals (Sweden)
Johann Engelbrecht
2009-09-01
Full Text Available Following the political changes of 1994 in South Africa, the decision was taken to replace the traditional skills-based education system at primary and secondary school level (Grades 1 - 12 with an outcomes-based education system (OBE. The OBE approach, referred to as Curriculum 2005, was introduced into schools in 1998. The implementation of the OBE system did not occur without problems, giving rise to revised initiatives and a fair amount of criticism. The 2009 intake of students at universities is the ﬁrst group of students that had been subjected to the OBE approach for their entire school career. This is also the ﬁrst group of students for whom some form of mathematics was compulsory up to Grade 12 level in the form of mathematics or mathematical literacy. These students were characterised by the fact that their mathematics marks for Grade 12 were exceptionally high and that many more students qualiﬁed for university entrance. This article reports on the impact of this new education system on the mathematics prepared-ness of students entering university. The study involves an empirical analysis of the students in the ﬁrst-year mathematics course for engineering students at the University of Pretoria as well as an analysis of a questionnaire completed by experienced lecturers at this university. The question addressed in this article is how the 2009 intake of students cope with mathematics at university level with regard to Performance General attributes Mathematical attributes Content-related attributesResults indicate a decrease in mathematics performance of these students at university level and that the inﬂated matric marks result in unjustiﬁed expectations. However, it is not unusual for marks to decrease from school to university and there is still too little evidence for serious concern. The study also indicates that these students seem to be better equipped with regard to personal attributes such as self-conﬁdence and
Aberdein, Andrew
2014-01-01
This book presents a comprehensive investigation into the relationship between argumentation theory and the philosophy of mathematical practice. It offers large array of examples ranging from the history of mathematics to formal proof verification.
Mathematical Modeling Using MATLAB
National Research Council Canada - National Science Library
Phillips, Donovan
1998-01-01
.... Mathematical Modeling Using MA MATLAB acts as a companion resource to A First Course in Mathematical Modeling with the goal of guiding the reader to a fuller understanding of the modeling process...
Is Cinderella Mathematically Literate?
Usnick, Virginia; Maxson, Sylvia
1996-01-01
Presents a sequence of mathematics lessons for middle school students that incorporates multicultural versions of the Cinderella story while students learn mathematical objectives related to classification and logical thinking. (SR)
Mathematical knowledge in teaching
Rowland, Tim
2011-01-01
This book examines issues of considerable significance in addressing global aspirations to raise standards of teaching and learning in mathematics by developing approaches to characterizing, assessing and developing mathematical knowledge for teaching.
Semiotic Scaffolding in Mathematics
DEFF Research Database (Denmark)
Johansen, Mikkel Willum; Misfeldt, Morten
2015-01-01
This paper investigates the notion of semiotic scaffolding in relation to mathematics by considering its influence on mathematical activities, and on the evolution of mathematics as a research field. We will do this by analyzing the role different representational forms play in mathematical...... cognition, and more broadly on mathematical activities. In the main part of the paper, we will present and analyze three different cases. For the first case, we investigate the semiotic scaffolding involved in pencil and paper multiplication. For the second case, we investigate how the development of new...... in both mathematical cognition and in the development of mathematics itself, but mathematical cognition cannot itself be reduced to the use of semiotic scaffolding....
Developing My Mathematics Identity
Gonzalez, Lidia
2016-01-01
Assuming the role of storyteller, the author uses her experiences as a graduate student and beginning teacher to reflect critically on issues related to mathematics, mathematics education, gender, and diversity.
Mathematics for the nonmathematician
Kline, Morris
1967-01-01
Erudite and entertaining overview follows development of mathematics from ancient Greeks to present. Topics include logic and mathematics, the fundamental concept, differential calculus, probability theory, much more. Exercises and problems.
Evolutionary Events in a Mathematical Sciences Research Collaboration Network
Brunson, Jason Cory; McInnes, Antonio; Narayan, Monisha; Richardson, Brianna; Franck, Christopher; Ion, Patrick; Laubenbacher, Reinhard
2012-01-01
Collaboration is key to scientific research, and increasingly to mathematics. This paper contains a longitudinal investigation of mathematics collaboration and publishing using the proprietary database Mathematical Reviews, maintained by the American Mathematical Society. The database contains publications by several hundred thousand researchers over 25 years. Mathematical scientists became more interconnected, collaborative, and interdisciplinary over this interval, and twice the network experienced dramatic structural shifts. These events are examined and possible external factors are discussed. Smaller subject-specific subnetworks exhibit behavior that provides insight into the aggregate dynamics. The data are available upon request to the Executive Director of the AMS.
Indian Academy of Sciences (India)
Subject Index. Variation of surface electric field during geomagnetic disturbed period at Maitri, Antarctica. 1721. Geomorphology. A simple depression-filling method for raster and irregular elevation datasets. 1653. Decision Support System integrated with Geographic. Information System to target restoration actions in water-.
Modern mathematics made simple
Murphy, Patrick
1982-01-01
Modern Mathematics: Made Simple presents topics in modern mathematics, from elementary mathematical logic and switching circuits to multibase arithmetic and finite systems. Sets and relations, vectors and matrices, tesselations, and linear programming are also discussed.Comprised of 12 chapters, this book begins with an introduction to sets and basic operations on sets, as well as solving problems with Venn diagrams. The discussion then turns to elementary mathematical logic, with emphasis on inductive and deductive reasoning; conjunctions and disjunctions; compound statements and conditional
CHOCHOLATÁ, Monika
2013-01-01
This bachelor thesis analyzes web sites which deal with mathematics and mathematics teaching. These include web sites of college and universities. The theoretic part of the thesis includes analysis of possibilities offered by internet for the use in mathematics education. In the practical part we evaluate websites by four functions. The theme is extended by SEO test and special interest webs dedicated to the popularization of mathematics.
Tutorials in mathematical biosciences
2008-01-01
The book offers an easy introduction to fast growing research areas in evolution of species, population genetics, ecological models, and population dynamics. The first two chapters review the concept and methodologies of phylogenetic trees; computational schemes and illustrations are given, including applications such as tracing the origin of SARS and influenza. The third chapter introduces the reader to ecological models, including predator-prey models. This chapter includes and introduction to reaction-diffusion equations, which are used to analyze the ecological models. The next chapter reviews a broad range of ongoing research in population dynamics, including evolution of dispersal models; it also features interesting mathematical theorems and lists open problems. The final chapter deals with gene frequencies under the action of migration and selection. The book is addressed to readers at the level of grad students and researchers. A background in PDEs is provided.
Mathematics Connection: Editorial Policies
African Journals Online (AJOL)
Focus and Scope. MATHEMATICS CONNECTION aims at providing a forum to promote the development of Mathematics Education in Ghana. Articles that seek to enhance the teaching and/or learning of mathematics at all levels of the educational system are welcome ...
Mathematics Connection: Contact
African Journals Online (AJOL)
Principal Contact. Dr. Kofi Mereku Executive Editor Department of Mathematics Education, UCE Mathematical Association of Ghana, C/o Department of Mathematics Education University College of Education of Winneba P. O. Box 25, Winneba, Ghana Phone: +233244961318. Email: dkmereku@uew.edu.gh ...
The purpose of this book is to familiarize the reader with how mathematics can solve important problems in modern military affairs. The authors...discuss and explain, without resorting to complex mathematical calculations, the essence of the basic methods which modern mathematics makes available to military problems, design and combat deployment of modern weapons.
Galligan, Linda
2016-01-01
A "National Numeracy Report" and the Australian Curriculum (2014) have recognised the importance of language in mathematics. The general capabilities contained within the "Australian Curriculum: Mathematics" (2014) highlight literacy as an important tool in the teaching and learning of mathematics, from the interpretation of…
Mathematical Engagement Skills
Ingram, Naomi
2013-01-01
In this paper, the mathematical engagement of Colin and Robyn is compared. Through this comparison, and informed by longitudinal research into the mathematical journeys of a group of students in New Zealand, a set of engagement skills emerged. Both students had high levels of engagement in mathematics. However, Colin was a thriving mathematics…
Walshaw, Margaret
2014-01-01
This paper explores contemporary thinking about learning mathematics, and within that, social justice within mathematics education. The discussion first looks at mechanisms offered by conventional explanations on the emancipatory project and then moves towards more recent insights developed within mathematics education. Synergies are drawn between…
Mathematics a minimal introduction
Buium, Alexandru
2013-01-01
Pre-Mathematical Logic Languages Metalanguage Syntax Semantics Tautologies Witnesses Theories Proofs Argot Strategies Examples Mathematics ZFC Sets Maps Relations Operations Integers Induction Rationals Combinatorics Sequences Reals Topology Imaginaries Residues p-adics Groups Orders Vectors Matrices Determinants Polynomials Congruences Lines Conics Cubics Limits Series Trigonometry Integrality Reciprocity Calculus Metamodels Categories Functors Objectives Mathematical Logic Models Incompleteness Bibliography Index
Mathematics Teaching as Praxis
Grootenboer, Peter; Edwards-Groves, Christine
2014-01-01
In this paper we argue that mathematics teaching can be conceptualised as a form of praxis. Viewing mathematics teaching as praxis foregrounds the moral nature of teaching and the educational practices that are developed in response to the educational needs in particular sites. The case for praxis in mathematics education is then made by drawing…
African Journals Online (AJOL)
... the Nigerian Universal Basic Education mathematics curricula and suggests that mathematics teacher should undergo regular retraining programmes and employ the use of instructional aids in teaching . Keywords: Teachers, implementation, Universal Basic Education and Mathematics curricula. The Nigerian Journal Of ...
Learning Environments in Mathematics
Turner, Vanshelle E.
2017-01-01
Learning mathematics is problematic for most primary school age children because mathematics is rote and the memorization of steps rather than an approach to seeing relationships that builds inquiry and understanding. Therefore, the traditional "algorithmic" way of teaching mathematics has not fully prepared students to be critical…
Indian Academy of Sciences (India)
user
Mathematics of Risk Taking. K B Athreya and M G Nadkarni. Keywords. Investor, risk taking, fair game, martingale, random walk, gam- bling, population. (left) K B Athreya is a visiting professor at IMI,. Mathematics Department,. IISc, Bangalore and is also a professor of mathematics and statistics at Iowa State. University ...
Abraham, Ralph
2015-12-01
Is there a world of mathematics above and beyond ordinary reality, as Plato proposed? Or is mathematics a cultural construct? In this short article we speculate on the place of mathematical reality from the perspective of the mystical cosmologies of the ancient traditions of meditation, psychedelics, and divination. Copyright © 2015. Published by Elsevier Ltd.
Defining Mathematical Giftedness
Parish, Linda
2014-01-01
This theoretical paper outlines the process of defining "mathematical giftedness" for a present study on how primary school teaching shapes the mindsets of children who are mathematically gifted. Mathematical giftedness is not a badge of honour or some special value attributed to a child who has achieved something exceptional.…
TWO CRITICISMS AGAINST MATHEMATICAL REALISM
National Research Council Canada - National Science Library
Seungbae Park
2017-01-01
Mathematical realism asserts that mathematical objects exist in the abstract world, and that a mathematical sentence is true or false, depending on whether the abstract world is as the mathematical sentence says...
Platz, Thomas; Adler-Wiebe, Marija; Roschka, Sybille; Lotze, Martin
2018-01-01
Motor rehabilitation after brain damage relies on motor re-learning as induced by specific training. Non-invasive brain stimulation (NIBS) can alter cortical excitability and thereby has a potential to enhance subsequent training-induced learning. Knowledge about any priming effects of NIBS on motor learning in healthy subjects can help to design targeted therapeutic applications in brain-damaged subjects. To examine whether complex motor learning in healthy subjects can be enhanced by intermittent theta burst stimulation (iTBS) to primary motor or sensory cortical areas. Eighteen young healthy subjects trained eight different arm motor tasks (arm ability training, AAT) once a day for 5 days using their left non-dominant arm. Except for day 1 (baseline), training was performed after applying an excitatory form of repetitive transcranial magnetic stimulation (iTBS) to either (I) right M1 or (II) S1, or (III) sham stimulation to the right M1. Subjects were randomly assigned to conditions I, II, or III. A principal component analysis of the motor behaviour data suggested eight independent motor abilities corresponding to the 8 trained tasks. AAT induced substantial motor learning across abilities with generalisation to a non-trained test of finger dexterity (Nine-Hole-Peg-Test, NHPT). Participants receiving iTBS (to either M1 or S1) showed better performance with the AAT tasks over the period of training compared to sham stimulation as well as a bigger improvement with the generalisation task (NHPT) for the trained left hand after training completion. Priming with an excitatory repetitive transcranial magnetic stimulation as iTBS of either M1 or S1 can enhance motor learning across different sensorimotor abilities.
Introductory Programming Subject in European Higher Education
Aleksic, Veljko; Ivanovic, Mirjana
2016-01-01
Programming is one of the basic subjects in most informatics, computer science mathematics and technical faculties' curricula. Integrated overview of the models for teaching programming, problems in teaching and suggested solutions were presented in this paper. Research covered current state of 1019 programming subjects in 715 study programmes at…