Authentic Teaching Experiences in Secondary Mathematics Methods

Science.gov (United States)

Stickles, Paula R.

2015-01-01

Often secondary mathematics methods courses include classroom peer teaching, but many pre-service teachers find it challenging to teach their classmate peers as there are no discipline issues and little mathematical discourse as the "students" know the content. We will share a recent change in our methods course where pre-service…

ABOUT THE RELEVANCE AND METHODOLOGY ASPECTS OF TEACHING THE MATHEMATICAL MODELING TO PEDAGOGICAL STUDENTS

Directory of Open Access Journals (Sweden)

Y. A. Perminov

2014-01-01

Full Text Available The paper substantiates the need for profile training in mathematical modeling for pedagogical students, caused by the total penetration of mathematics into different sciences, including the humanities; fast development of the information communications technologies; and growing importance of mathematical modeling, combining the informal scientific and formal mathematical languages with the unique opportunities of computer programming. The author singles out the reasons for mastering and using the mathematical apparatus by teaches in every discipline. Indeed, among all the modern mathematical methods and ideas, mathematical modeling retains its priority in all professional spheres. Therefore, the discipline of “Mathematical Modeling” can play an important role in integrating different components of specialists training in various profiles. By mastering the basics of mathematical modeling, students acquire skills of methodological thinking; learn the principles of analysis, synthesis, generalization of ideas and methods in different disciplines and scientific spheres; and achieve general culture competences. In conclusion, the author recommends incorporating the “Methods of Profile Training in Mathematical Modeling” into the pedagogical magistracy curricula. 

Evaluating Discipline-Based Education Research for Promotion and Tenure

Science.gov (United States)

Dolan, Erin L.; Elliott, Samantha L.; Henderson, Charles; Curran-Everett, Douglas; St. John, Kristen; Ortiz, Phillip A.

2018-01-01

Discipline-based education research (DBER) is an emergent, interdisciplinary field of scholarship aimed at understanding and improving discipline-specific teaching and learning. The number of DBER faculty members in science, technology, engineering, and mathematics (STEM) departments has grown rapidly in recent years. Because the interdisciplinary…

¿Is it necessary to analyze the relationship between mathematics teacher and the shaping of attitudes and the beliefs toward this discipline?

Directory of Open Access Journals (Sweden)

Ronny Gamboa-Araya

2016-01-01

Full Text Available Problems associated with teaching and learning mathematics have been a recurrent concern in several countries. The affective domain of students, in this context, has emerged as a relevant element that allows explaining some aspects of those problems.  The need to explore in more detail the influence of teachers in the affective domain of students arises from this perspective, since what he/she does in the classroom could help strengthen or modify the attitudes and beliefs of students.  This article aims to point out issues related to the affective domain in mathematics that have influenced teaching and learning the discipline, as well as the need to address them from the teaching staff perception.  The purpose is to modify their work and encourage an image change of the discipline through their daily work.  For this matter, conclusions of different investigations are presented showing the role of the affective domain, the influence of teaching staff and the need to carry out further research on the role of teachers.

The Unit of Analysis in Mathematics Education: Bridging the Political-Technical Divide?

Science.gov (United States)

Ernest, Paul

2016-01-01

Mathematics education is a complex, multi-disciplinary field of study which treats a wide range of diverse but interrelated areas. These include the nature of mathematics, the learning of mathematics, its teaching, and the social context surrounding both the discipline and applications of mathematics itself, as well as its teaching and learning.…

Mathematical foundations of thermodynamics

CERN Document Server

Giles, R; Stark, M; Ulam, S

2013-01-01

Mathematical Foundations of Thermodynamics details the core concepts of the mathematical principles employed in thermodynamics. The book discusses the topics in a way that physical meanings are assigned to the theoretical terms. The coverage of the text includes the mechanical systems and adiabatic processes; topological considerations; and equilibrium states and potentials. The book also covers Galilean thermodynamics; symmetry in thermodynamics; and special relativistic thermodynamics. The book will be of great interest to practitioners and researchers of disciplines that deal with thermodyn

Mathematical Thinking and Creativity through Mathematical Problem Posing and Solving

Science.gov (United States)

Ayllón, María F.; Gómez, Isabel A.; Ballesta-Claver, Julio

2016-01-01

This work shows the relationship between the development of mathematical thinking and creativity with mathematical problem posing and solving. Creativity and mathematics are disciplines that do not usually appear together. Both concepts constitute complex processes sharing elements, such as fluency (number of ideas), flexibility (range of ideas),…

Boundary crossing and brokering between disciplines in pre-service mathematics teacher education

Science.gov (United States)

Goos, Merrilyn; Bennison, Anne

2017-12-01

In many countries, pre-service teacher education programs are structured so that mathematics content is taught in the university's mathematics department and mathematics pedagogy in the education department. Such program structures make it difficult to authentically interweave content with pedagogy in ways that acknowledge the roles of both mathematicians and mathematics educators in preparing future teachers. This article reports on a project that deliberately fostered collaboration between mathematicians and mathematics educators in six Australian universities in order to investigate the potential for learning at the boundaries between the two disciplinary communities. Data sources included two rounds of interviews with mathematicians and mathematics educators and annual reports prepared by each participating university over the three years of the project. The study identified interdisciplinary boundary practices that led to integration of content and pedagogy through new courses co-developed and co-taught by mathematicians and mathematics educators, and new approaches to building communities of pre-service teachers. It also developed an evidence-based classification of conditions that enable or hinder sustained collaboration across disciplinary boundaries, together with an empirical grounding for Akkerman and Bakker's conceptualisation of transformation as a mechanism for learning at the boundary between communities. The study additionally highlighted the ambiguous nature of boundaries and implications for brokers who work there to connect disciplinary paradigms.

Mathematical methods for physicists and engineers

CERN Document Server

Collins, Royal Eugene

2011-01-01

This practical, highly readable text provides physics and engineering students with the essential mathematical tools for thorough comprehension of their disciplines. Featuring all the necessary topics in applied mathematics in the form of programmed instruction, the text can be understood by advanced undergraduates and beginning graduate students without any assistance from the instructor. Topics include elementary vector calculus, matrix algebra, and linear vector operations; the many and varied methods of solving linear boundary value problems, including the more common special functions o

Mathematical reasoning analogies, metaphors, and images

CERN Document Server

English, Lyn D

2013-01-01

How we reason with mathematical ideas continues to be a fascinating and challenging topic of research--particularly with the rapid and diverse developments in the field of cognitive science that have taken place in recent years. Because it draws on multiple disciplines, including psychology, philosophy, computer science, linguistics, and anthropology, cognitive science provides rich scope for addressing issues that are at the core of mathematical learning. Drawing upon the interdisciplinary nature of cognitive science, this book presents a broadened perspective on mathematics and mat

Teaching mathematics to non-mathematicians

DEFF Research Database (Denmark)

Triantafyllou, Evangelia; Timcenko, Olga

2017-01-01

Over the past years, a number of engineering programs have arisen that transcend the division between technical, scientific and art-related disciplines. Media Technology at Aalborg University, Denmark is such an engineering program. In relation to mathematics education, this new development has...... changed the way mathematics is applied in practice and is taught in these disciplines. This paper discusses a doctoral dissertation that investigated and assessed interventions to increase student motivation and engagement in mathematics among Media Technology students. The results of this dissertation...

Gender Differences in Self-Efficacy and Sense of Class and School Belonging for Majors in Science, Technology, Engineering, and Mathematics (STEM) Disciplines

Science.gov (United States)

Hogue, Barbara A.

Research into women's underrepresentation in science, technology, engineering, and mathematics (STEM) disciplines has become a topic of interest due to the increasing need for employees with technical expertise and a shortage of individuals to fill STEM jobs. The discrepancy in women's representation between STEM and other fields cannot adequately be explained by factors such as women's need to balance work and family (medicine and law are both extremely demanding careers), women's fear of competition (admissions into medical and law schools are highly competitive), or women's inability to excel in science (e.g., entry into medicine requires excellent achievement in the basic sciences). The purpose of this study is to gain a deeper understanding of the role and/or impact a sense of belonging has inside and outside of STEM classrooms. Research questions focused on the role and/or impact of belonging contributes to students' self-efficacy beliefs as a STEM major. Bandura's self-efficacy theory serves as the theoretical framework. Data sources include close-ended surveys of 200 sophomore- and junior-level college students majoring in a STEM discipline. A quantitative exploratory approach allowed participants' responses to be analyzed using both correlation and multiple regression analyses to understand whether a student's sense of belonging is associated with his or her self-efficacy beliefs. Findings suggested that positive support systems impact students' self-efficacy and play a role in fostering students' motivation and decision to major in STEM disciplines. This study contributes to positive social change by providing empirical evidence faculty and administrators may use to promote university-based STEM support programs reflecting the impact belonging has on students' self-efficacy and potentially increasing the number of students majoring in STEM disciplines.

Mathematical Sciences in Australia

Science.gov (United States)

Thomas, Jan; Muchatuta, Michelle; Wood, Leigh

2009-01-01

This article investigates enrolment trends in mathematical sciences in Australian universities. Data has been difficult to extract and the coding for mathematical disciplines has made investigation challenging. We show that the number of mathematics major undergraduates in Australia is steadily declining though the number studying…

Popular lectures on mathematical logic

CERN Document Server

Wang, Hao

2014-01-01

A noted logician and philosopher addresses various forms of mathematical logic, discussing both theoretical underpinnings and practical applications. Author Hao Wang surveys the central concepts and theories of the discipline in a historical and developmental context, and then focuses on the four principal domains of contemporary mathematical logic: set theory, model theory, recursion theory and constructivism, and proof theory.Topics include the place of problems in the development of theories of logic and logic's relation to computer science. Specific attention is given to Gödel's incomplete

Effects of Mathematics Anxiety and Mathematical Metacognition on Word Problem Solving in Children with and without Mathematical Learning Difficulties

Science.gov (United States)

Lai, Yinghui; Zhu, Xiaoshuang; Chen, Yinghe; Li, Yanjun

2015-01-01

Mathematics is one of the most objective, logical, and practical academic disciplines. Yet, in addition to cognitive skills, mathematical problem solving also involves affective factors. In the current study, we first investigated effects of mathematics anxiety (MA) and mathematical metacognition on word problem solving (WPS). We tested 224 children (116 boys, M = 10.15 years old, SD = 0.56) with the Mathematics Anxiety Scale for Children, the Chinese Revised-edition Questionnaire of Pupil’s Metacognitive Ability in Mathematics, and WPS tasks. The results indicated that mathematical metacognition mediated the effect of MA on WPS after controlling for IQ. Second, we divided the children into four mathematics achievement groups including high achieving (HA), typical achieving (TA), low achieving (LA), and mathematical learning difficulty (MLD). Because mathematical metacognition and MA predicted mathematics achievement, we compared group differences in metacognition and MA with IQ partialled out. The results showed that children with MLD scored lower in self-image and higher in learning mathematics anxiety (LMA) than the TA and HA children, but not in mathematical evaluation anxiety (MEA). MLD children’s LMA was also higher than that of their LA counterparts. These results provide insight into factors that may mediate poor WPS performance which emerges under pressure in mathematics. These results also suggest that the anxiety during learning mathematics should be taken into account in mathematical learning difficulty interventions. PMID:26090806

Effects of Mathematics Anxiety and Mathematical Metacognition on Word Problem Solving in Children with and without Mathematical Learning Difficulties.

Directory of Open Access Journals (Sweden)

Yinghui Lai

Full Text Available Mathematics is one of the most objective, logical, and practical academic disciplines. Yet, in addition to cognitive skills, mathematical problem solving also involves affective factors. In the current study, we first investigated effects of mathematics anxiety (MA and mathematical metacognition on word problem solving (WPS. We tested 224 children (116 boys, M = 10.15 years old, SD = 0.56 with the Mathematics Anxiety Scale for Children, the Chinese Revised-edition Questionnaire of Pupil's Metacognitive Ability in Mathematics, and WPS tasks. The results indicated that mathematical metacognition mediated the effect of MA on WPS after controlling for IQ. Second, we divided the children into four mathematics achievement groups including high achieving (HA, typical achieving (TA, low achieving (LA, and mathematical learning difficulty (MLD. Because mathematical metacognition and MA predicted mathematics achievement, we compared group differences in metacognition and MA with IQ partialled out. The results showed that children with MLD scored lower in self-image and higher in learning mathematics anxiety (LMA than the TA and HA children, but not in mathematical evaluation anxiety (MEA. MLD children's LMA was also higher than that of their LA counterparts. These results provide insight into factors that may mediate poor WPS performance which emerges under pressure in mathematics. These results also suggest that the anxiety during learning mathematics should be taken into account in mathematical learning difficulty interventions.

Effects of Mathematics Anxiety and Mathematical Metacognition on Word Problem Solving in Children with and without Mathematical Learning Difficulties.

Science.gov (United States)

Lai, Yinghui; Zhu, Xiaoshuang; Chen, Yinghe; Li, Yanjun

2015-01-01

Mathematics is one of the most objective, logical, and practical academic disciplines. Yet, in addition to cognitive skills, mathematical problem solving also involves affective factors. In the current study, we first investigated effects of mathematics anxiety (MA) and mathematical metacognition on word problem solving (WPS). We tested 224 children (116 boys, M = 10.15 years old, SD = 0.56) with the Mathematics Anxiety Scale for Children, the Chinese Revised-edition Questionnaire of Pupil's Metacognitive Ability in Mathematics, and WPS tasks. The results indicated that mathematical metacognition mediated the effect of MA on WPS after controlling for IQ. Second, we divided the children into four mathematics achievement groups including high achieving (HA), typical achieving (TA), low achieving (LA), and mathematical learning difficulty (MLD). Because mathematical metacognition and MA predicted mathematics achievement, we compared group differences in metacognition and MA with IQ partialled out. The results showed that children with MLD scored lower in self-image and higher in learning mathematics anxiety (LMA) than the TA and HA children, but not in mathematical evaluation anxiety (MEA). MLD children's LMA was also higher than that of their LA counterparts. These results provide insight into factors that may mediate poor WPS performance which emerges under pressure in mathematics. These results also suggest that the anxiety during learning mathematics should be taken into account in mathematical learning difficulty interventions.

Discipline methods

OpenAIRE

Maria Kikila; Ioannis Koutelekos

2012-01-01

Child discipline is one of the most important elements of successful parenting. As discipline is defined the process that help children to learn appropriate behaviors and make good choices. Aim: The aim of the present study was to review the literature about the discipline methods. The method οf this study included bibliography research from both the review and the research literature, mainly in the pubmed data base which referred to the discipline methods. Results: In the literature it is ci...

Content Area Literacy in the Mathematics Classroom

Science.gov (United States)

Armstrong, Abbigail; Ming, Kavin; Helf, Shawnna

2018-01-01

Content area literacy has an important role in helping students understand content in specific disciplines, such as mathematics. Although the strategies are not unique to each individual content area, they are often adapted for use in a specific discipline. For example, mathematicians use mathematical language to make sense of new ideas and…

DISCRETE MATHEMATICS AS FUNDAMENTAL DISCIPLINE IS IN SYSTEM OF MATHEMATICAL PREPARATION OF FUTURE SOFTWARE ENGINEER

OpenAIRE

D. Shchedrolosev

2010-01-01

Fundamental mathematical background is an important part of training future engineers and programmers. The paper considers existing approaches to teaching the fundamentals of discrete mathematics specialist IT profile, a comparative analysis of modern textbooks on discrete mathematics for IT professionals was conducted

Connecting Biology and Mathematics: First Prepare the Teachers

Science.gov (United States)

2010-01-01

Developing the connection between biology and mathematics is one of the most important ways to shift the paradigms of both established science disciplines. However, adding some mathematic content to biology or biology content to mathematics is not enough but must be accompanied by development of suitable pedagogical models. I propose a model of pedagogical mathematical biological content knowledge as a feasible starting point for connecting biology and mathematics in schools and universities. The process of connecting these disciplines should start as early as possible in the educational process, in order to produce prepared minds that will be able to combine both disciplines at graduate and postgraduate levels of study. Because teachers are a crucial factor in introducing innovations in education, the first step toward such a goal should be the education of prospective and practicing elementary and secondary school teachers. PMID:20810951

Connecting biology and mathematics: first prepare the teachers.

Science.gov (United States)

Sorgo, Andrej

2010-01-01

Developing the connection between biology and mathematics is one of the most important ways to shift the paradigms of both established science disciplines. However, adding some mathematic content to biology or biology content to mathematics is not enough but must be accompanied by development of suitable pedagogical models. I propose a model of pedagogical mathematical biological content knowledge as a feasible starting point for connecting biology and mathematics in schools and universities. The process of connecting these disciplines should start as early as possible in the educational process, in order to produce prepared minds that will be able to combine both disciplines at graduate and postgraduate levels of study. Because teachers are a crucial factor in introducing innovations in education, the first step toward such a goal should be the education of prospective and practicing elementary and secondary school teachers.

DISCRETE MATHEMATICS AS FUNDAMENTAL DISCIPLINE IS IN SYSTEM OF MATHEMATICAL PREPARATION OF FUTURE SOFTWARE ENGINEER

Directory of Open Access Journals (Sweden)

D. Shchedrolosev

2010-04-01

Full Text Available Fundamental mathematical background is an important part of training future engineers and programmers. The paper considers existing approaches to teaching the fundamentals of discrete mathematics specialist IT profile, a comparative analysis of modern textbooks on discrete mathematics for IT professionals was conducted

Teaching Mathematics in Geography Degrees

Science.gov (United States)

Bennett, Robert

1978-01-01

Examines ways of developing college students' motivation for mathematical training; describes the type of mathematical knowledge required in the geography discipline; and explores an applied approach to mathematics teaching based on a systems concept. For journal availability, see SO 506 224. (Author/AV)

Mathematics and Computation in Music

DEFF Research Database (Denmark)

The 5th Biennial International Conference for Mathematics and Computation in Music (MCM 2015) took place June 22–25, 2015, at Queen Mary University of London, UK, co-hosted by the School of Electronic Engineering and Computer Science (Centre for Digital Music) and the School of Mathematical...... Sciences. As the flagship conference of the Society for Mathematics and Computation in Music (SMCM), MCM 2015 provided a dedicated platform for the communication and exchange of ideas among researchers in mathematics, informatics, music theory, composition, musicology, and related disciplines. It brought...... together researchers from around the world who combine mathematics or computation with music theory, music analysis, composition, and performance. This year’s program – full details at http://mcm2015.qmul.ac.uk – featured a number of distinguished keynote speakers, including Andrée Ehresmann (who spoke...

Topics in mathematical analysis and applications

CERN Document Server

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.

[Mathematics - astronomy - astrology special library].

Science.gov (United States)

Gluch, Sibylle

2011-01-01

About 1560 Elector August of Saxony created an unusual library--one distinguished within its period by both its specialization and location. Situated within the Kunstkammer this library was mostly dedicated to the mathematical sciences and related disciplines. It contained works by the most important authors on mathematics, astronomy, and astrology from the classical, medieval, and early modern periods. This essay traces the formation and composition of August's library, and examines its function: What kind of relationship existed between the library and the Kunstkammer? In what way did the library mirror the interests of the Elector, and to what extend does it permit inferences regarding the Elector's knowledge of mathematics? From the analysis August emerges not as a specialist with a deep understanding of mathematics, but as a particular aficionado of mathematical applications. As a practitioner and general follower of the mathematical arts he took part in a far-reaching intellectual network the center of which lay in the University of Wittenberg. Here, Melanchthon had effectively strengthened the importance of the mathematical disciplines within the university curriculum. He regarded mathematics as the foremost science, arguing that before all other disciplines its method enabled man to recognize the harmonic order of the world, and to discern divine providence. Thus, mathematics offered consoling stability and support in an often seemingly chaotic world torn by religious controversies. This kind of esteem for the mathematical sciences did not presuppose expert knowledge. Hence, the fact that August does not appear to have read the mathematical books he collected does not come as a contradiction. On the contrary, for August it sufficed to recognize the potential of the mathematical sciences, which he brought into life through the creation of a specialized library that developed a rhetoric of its own. The collection of his Kunstkammer library spoke of a

History of mathematics and history of science.

Science.gov (United States)

Mann, Tony

2011-09-01

This essay argues that the diversity of the history of mathematics community in the United Kingdom has influenced the development of the subject and is a significant factor behind the different concerns often evident in work on the history of mathematics when compared with that of historians of science. The heterogeneous nature of the community, which includes many who are not specialist historians, and the limited opportunities for academic careers open to practitioners have had a profound effect on the discipline, leading to a focus on elite mathematics and great mathematicians. More recently, reflecting earlier developments in the history of science, an increased interest in the context and culture of the practice of mathematics has become evident.

Nuclear medicine and mathematics

Energy Technology Data Exchange (ETDEWEB)

Pedroso de Lima, J.J. [Dept. de Biofisica e Proc. de Imagem, IBILI - Faculdade de Medicina, Coimbra (Portugal)

1996-06-01

The purpose of this review is not to present a comprehensive description of all the mathematical tools used in nuclear medicine, but to emphasize the importance of the mathematical method in nuclear medicine and to elucidate some of the mathematical concepts currently used. We can distinguish three different areas in which mathematical support has been offered to nuclear medicine: Physiology, methodology and data processing. Nevertheless, the boundaries between these areas can be indistinct. It is impossible in a single article to give even an idea of the extent and complexity of the procedures currently usede in nuclear medicine, such as image processing, reconstruction from projections and artificial intelligence. These disciplines do not belong to nuclear medicine: They are already branches of engineering, and my interest will reside simply in revealing a little of the elegance and the fantastic potential of these new `allies` of nuclear medicine. In this review the mathematics of physiological interpretation and methodology are considered together in the same section. General aspects of data-processing methods, including image processing and artificial intelligence, are briefly analysed. The mathematical tools that are most often used to assist the interpretation of biological phenomena in nuclear medicine are considered; these include convolution and deconvolution methods, Fourier analysis, factorial analysis and neural networking. (orig.)

Nuclear medicine and mathematics

International Nuclear Information System (INIS)

Pedroso de Lima, J.J.

1996-01-01

The purpose of this review is not to present a comprehensive description of all the mathematical tools used in nuclear medicine, but to emphasize the importance of the mathematical method in nuclear medicine and to elucidate some of the mathematical concepts currently used. We can distinguish three different areas in which mathematical support has been offered to nuclear medicine: Physiology, methodology and data processing. Nevertheless, the boundaries between these areas can be indistinct. It is impossible in a single article to give even an idea of the extent and complexity of the procedures currently usede in nuclear medicine, such as image processing, reconstruction from projections and artificial intelligence. These disciplines do not belong to nuclear medicine: They are already branches of engineering, and my interest will reside simply in revealing a little of the elegance and the fantastic potential of these new 'allies' of nuclear medicine. In this review the mathematics of physiological interpretation and methodology are considered together in the same section. General aspects of data-processing methods, including image processing and artificial intelligence, are briefly analysed. The mathematical tools that are most often used to assist the interpretation of biological phenomena in nuclear medicine are considered; these include convolution and deconvolution methods, Fourier analysis, factorial analysis and neural networking. (orig.)

Opportunities and Challenges of Using Technology in Mathematics Education of Creative Technical Studies

DEFF Research Database (Denmark)

Triantafyllou, Eva; Timcenko, Olga

2014-01-01

This paper explores the opportunities and challenges of integrating technology to support mathematics teaching and learning in creative engineer- ing disciplines. We base our discussion on data from our research in the Media Technology department of Aalborg University Copenhagen, Denmark. Our ana...... analysis proposes that unlike in other engineering disciplines, technology in these disciplines should be used for contextualizing mathematics rather than in- troducing and exploring mathematical concepts....

Didactics of mathematics as a scientific discipline

National Research Council Canada - National Science Library

Biehler, Rolf

1994-01-01

... knowledge Rainer Bromme 73 Dialogue between theory and practice in mathematics education Heinz Steinbring 89 On the application of science to teaching and teacher education Thomas J. Cooney 103 3. INTERACTION IN THE CLASSROOM Introduction Rudolf Sträßer 117 Theoretical and empirical approaches to classroom interaction Maria G. Bartolini Bussi 121 Theo...

Meaning in mathematics

CERN Document Server

2011-01-01

Is mathematics a highly sophisticated intellectual game in which the adepts display their skill by tackling invented problems, or are mathematicians engaged in acts of discovery as they explore an independent realm of mathematical reality? Why does this seemingly abstract discipline provide the key to unlocking the deep secrets of the physical universe? How one answers these questions will significantly influence metaphysical thinking about reality. This book is intended to fill a gap between popular 'wonders of mathematics' books and the technical writings of the philosophers of mathematics.

Panel Debate: Technics and technology in mathematics and mathematics education

DEFF Research Database (Denmark)

Misfeldt, Morten

2015-01-01

The use of computer technology for teaching and learning of mathematics has several consequences and does sometimes give rise to both controversies and misunderstandings. We address these problems by both a philosophical and a historical approach, investigating what it actually is that goes on when...... guidelines and conclusions regarding the use of computer technology in mathematics education....... new technologies enter mathematics as a discipline and mathematics education as a societal practice. Our analysis suggests a focus on continuities in time and place in the sense that it is necessary to understand the history of “tool use” in mathematics and the various ways that scholastic and non...

Needs Assessment in STEM Disciplines: Reliability, Validity and Factor Structure of the Student Support Needs Scale (SSNS)

Science.gov (United States)

Hardy, Precious; Aruguete, Mara

2014-01-01

Retention is a major problem in most colleges and universities. High dropout rates, especially in the STEM disciplines (science, technology, engineering and mathematics), have proved intractable despite the offering of supplemental instruction. A broad model of support systems that includes psychological factors is needed to address retention in…

Mathematics and art a cultural history

CERN Document Server

Gamwell, Lynn

2016-01-01

This is a cultural history of mathematics and art, from antiquity to the present. Mathematicians and artists have long been on a quest to understand the physical world they see before them and the abstract objects they know by thought alone. Taking readers on a tour of the practice of mathematics and the philosophical ideas that drive the discipline, Lynn Gamwell points out the important ways mathematical concepts have been expressed by artists. Sumptuous illustrations of artworks and cogent math diagrams are featured in Gamwell’s comprehensive exploration. Gamwell begins by describing mathematics from antiquity to the Enlightenment, including Greek, Islamic, and Asian mathematics. Then focusing on modern culture, Gamwell traces mathematicians’ search for the foundations of their science, such as David Hilbert’s conception of mathematics as an arrangement of meaning-free signs, as well as artists’ search for the essence of their craft, such as Aleksandr Rodchenko’s monochrome paintings. She shows t...

Mathematical tools for data mining set theory, partial orders, combinatorics

CERN Document Server

Simovici, Dan A

2014-01-01

Data mining essentially relies on several mathematical disciplines, many of which are presented in this second edition of this book. Topics include partially ordered sets, combinatorics, general topology, metric spaces, linear spaces, graph theory. To motivate the reader a significant number of applications of these mathematical tools are included ranging from association rules, clustering algorithms, classification, data constraints, logical data analysis, etc. The book is intended as a reference for researchers and graduate students. The current edition is a significant expansion of the firs

African Journal of Educational Studies in Mathematics and Sciences

African Journals Online (AJOL)

African Journal of Educational Studies in Mathematics and Sciences. ... Studies in Mathematics and Sciences (AJESMS) is an international publication that ... in the fields of mathematics education, science education and related disciplines.

Characteristics of mathematics teaching in Shanghai, China: Through the lens of a Malaysian

Science.gov (United States)

Lim, Chap Sam

2007-06-01

The mathematical performance of Chinese students, from mainland China, Hong Kong and Taiwan, is widely acclaimed in international comparisons of mathematics achievement. However, in the eyes of the Western educators, the environments established in Chinese schools are deemed relatively unfavourable for mathematics learning. This paper reports on a study that investigates the characteristics of effective mathematics teaching in five Shanghai schools. Findings reveal that those characteristics include (a) teaching with variation; (b) emphasis of precise and elegant mathematical language; (c) emphasis of logical reasoning, mathematical thinking and proofing during teaching; (d) order and serious classroom discipline; (e) strong and coherence teacher-student rapport, and (f) strong collaborative culture amongst mathematics teachers.

Undergraduate Students' Perceptions of the Mathematics Courses Included in the Primary School Teacher Education Program

Science.gov (United States)

Serin, Mehmet Koray; Incikabi, Semahat

2017-01-01

Mathematics educators have reported on many issues regarding students' mathematical education, particularly students who received mathematics education at different departments such as engineering, science or primary school, including their difficulties with mathematical concepts, their understanding of and preferences for mathematical concepts.…

When Mathematics and Statistics Collide in Assessment Tasks

Science.gov (United States)

Bargagliotti, Anna; Groth, Randall

2016-01-01

Because the disciplines of mathematics and statistics are naturally intertwined, designing assessment questions that disentangle mathematical and statistical reasoning can be challenging. We explore the writing statistics assessment tasks that take into consideration potential mathematical reasoning they may inadvertently activate.

9 July 2012 - Academy of Sciences Malaysia (ASM), Chairman, Mathematical and Physical Sciences Discipline Group M. Yahaya FASc and his delegation visiting the LHC superconducting magnet test hall with Technology Department G. De Rijk.

CERN Multimedia

Maximilien Brice

2012-01-01

9 July 2012 - Academy of Sciences Malaysia (ASM), Chairman, Mathematical and Physical Sciences Discipline Group M. Yahaya FASc and his delegation visiting the LHC superconducting magnet test hall with Technology Department G. De Rijk.

Mathematical Thinking and Creativity through Mathematical Problem Posing and Solving

Directory of Open Access Journals (Sweden)

María F. Ayllón

2016-04-01

Full Text Available This work shows the relationship between the development of mathematical thinking and creativity with mathematical problem posing and solving. Creativity and mathematics are disciplines that do not usually appear together. Both concepts constitute complex processes sharing elements, such as fluency (number of ideas, flexibility (range of ideas, novelty (unique idea and elaboration (idea development. These factors contribute, among others, to the fact that schoolchildren are competent in mathematics. The problem solving and posing are a very powerful evaluation tool that shows the mathematical reasoning and creative level of a person. Creativity is part of the mathematics education and is a necessary ingredient to perform mathematical assignments. This contribution presents some important research works about problem posing and solving related to the development of mathematical knowledge and creativity. To that end, it is based on various beliefs reflected in the literature with respect to notions of creativity, problem solving and posing.

Social Mathematics and Media: Using Pictures, Maps, Charts, and Graphs. Media Corner.

Science.gov (United States)

Braun, Joseph A., Jr., Ed.

1993-01-01

Asserts that integrating disciplines is a goal of elementary social studies education. Presents a bibliographic essay describing instructional materials that can be used to integrate mathematics and social studies. Includes recommended photograph packages, computer databases, and data interpretation packages. (CFR)

Mathematical Model of Thyristor Inverter Including a Series-parallel Resonant Circuit

OpenAIRE

Miroslaw Luft; Elzbieta Szychta

2008-01-01

The article presents a mathematical model of thyristor inverter including a series-parallel resonant circuit with theaid of state variable method. Maple procedures are used to compute current and voltage waveforms in the inverter.

The Princeton companion to mathematics

CERN Document Server

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

Mathematical model of thyristor inverter including a series-parallel resonant circuit

OpenAIRE

Luft, M.; Szychta, E.

2008-01-01

The article presents a mathematical model of thyristor inverter including a series-parallel resonant circuit with the aid of state variable method. Maple procedures are used to compute current and voltage waveforms in the inverter.

Mathematical Model of Thyristor Inverter Including a Series-parallel Resonant Circuit

Directory of Open Access Journals (Sweden)

Miroslaw Luft

2008-01-01

Full Text Available The article presents a mathematical model of thyristor inverter including a series-parallel resonant circuit with theaid of state variable method. Maple procedures are used to compute current and voltage waveforms in the inverter.

Integrating the Learning of Mathematics and Science Using Interactive Teaching and Learning Strategies

Science.gov (United States)

Holmes, Mark H.

2006-10-01

To help students grasp the intimate connections that exist between mathematics and its applications in other disciplines a library of interactive learning modules was developed. This library covers the mathematical areas normally studied by undergraduate students and is used in science courses at all levels. Moreover, the library is designed not just to provide critical connections across disciplines but to also provide longitudinal subject reinforcement as students progress in their studies. In the process of developing the modules a complete editing and publishing system was constructed that is optimized for automated maintenance and upgradeability of materials. The result is a single integrated production system for web-based educational materials. Included in this is a rigorous assessment program, involving both internal and external evaluations of each module. As will be seen, the formative evaluation obtained during the development of the library resulted in the modules successfully bridging multiple disciplines and breaking down the disciplinary barriers commonly found in their math and non-math courses.

Mathematical Lives

CERN Document Server

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

Spatial mathematics theory and practice through mapping

CERN Document Server

Arlinghaus, Sandra Lach

2013-01-01

In terms of statistics, GIS offers many connections. With GIS, data are gathered, displayed, summarized, examined, and interpreted to discover patterns. Spatial Mathematics: Theory and Practice through Mapping uses GIS as a platform to teach mathematical concepts and skills through visualization of numbers. It examines theory and practice from disparate academic disciplines such as geography, mathematics, physics, and general social science. This approach allows students to grapple with biodiversity, crime, natural hazards, climate, energy, water, and other relevant real-world issues of the twenty-first century. Includes QR Codes Linked to Animated Maps, a Mapping Activity Site, or to an Interactive Webpage, Creating an Interactive Resource That Stays Relevant The book integrates competing philosophical views of the world: synthesis and analysis. These two approaches yield different results and employ different tools. This book considers both approaches to looking at real-world issues that have mathematics as...

Mathematics and Computer Science: The Interplay

OpenAIRE

Madhavan, Veni CE

2005-01-01

Mathematics has been an important intellectual preoccupation of man for a long time. Computer science as a formal discipline is about seven decades young. However, one thing in common between all users and producers of mathematical thought is the almost involuntary use of computing. In this article, we bring to fore the many close connections and parallels between the two sciences of mathematics and computing. We show that, unlike in the other branches of human inquiry where mathematics is me...

Integrating Mathematics and Science: Ecology and Venn Diagrams

Science.gov (United States)

Leszczynski, Eliza; Munakata, Mika; Evans, Jessica M.; Pizzigoni, Francesca

2014-01-01

Efforts to integrate mathematics and science have been widely recognized by mathematics and science educators. However, successful integration of these two important school disciplines remains a challenge. In this article, a mathematics and science activity extends the use of Venn diagrams to a life science context and then circles back to a…

Contributions of Islamic Civilization to The Mathematics Development

Directory of Open Access Journals (Sweden)

Liya Khaulah Asy-Syaimaa' Hussain

2017-12-01

Full Text Available The development of Islamic civilization goes hand in hand with physical and spiritual development. This development can be highlighted since the beginning of the golden age of Islam that witnessed the development of knowledge by Muslims scholars in various disciplines, including mathematics. The discourse in mathematical science only involves numbers, letters, and formulas. Muslims scholars took them as instruments to manifest the greatest of God. This paper investigates the contributions of Muslim scholars in Mathematics. The method of this study is qualitative through literature review. The resulting study found that the Quran became a source of inspiration to Muslim scholars in mathematics that form the branch of knowledge such as number theory, arithmetic, algebra, and geometry. This paper also promotes Islamization of Knowledge and its necessity to solve current Muslim world’s educational problems.

Linking Teaching in Mathematics and the Subjects of Natural Science

DEFF Research Database (Denmark)

Michelsen, Claus

2017-01-01

teaching programs. This is partly due to the lack of a framework for integrating productive ideas across the disciplines. This paper focus on how to grasp the challenges of an interdisciplinary approach to teaching in mathematics and the subjects of natural science. Based on contemporary mathematics...... and science education we design a didactical framework for interdisciplinary teaching centered on modeling activities across mathematics and the disciplines of natural science. To exemplify the potential of the framework we present a case study of an intensive in-service teacher-training program...... for mathematics and biology teachers. The teachers were presented to the didactical framework and in pairs of two, one mathematics teacher and one biology teacher; they designed and implemented interdisciplinary mathematicsbiology teaching sequences. The teachers’ reports on their development and implementation...

Mathematical sciences with multidisciplinary applications in honor of professor Christiane Rousseau and in recognition of the Mathematics for Planet Earth initiative

CERN Document Server

2016-01-01

This book is the fourth in a multidisciplinary series which brings together leading researchers in the STEAM-H disciplines (Science, Technology, Engineering, Agriculture, Mathematics and Health) to present their perspective on advances in their own specific fields, and to generate a genuinely interdisciplinary collaboration that transcends parochial subject-matter boundaries. All contributions are carefully edited, peer-reviewed, reasonably self-contained, and pedagogically crafted for a multidisciplinary readership. Contributions are drawn from a variety of fields including mathematics, statistics, game theory and behavioral sciences, biomathematics and physical chemistry, computer science and human-centered computing. This volume is dedicated to Professor Christiane Rousseau, whose work inspires the STEAM-H series, in recognition of her passion for the mathematical sciences and her on-going initiative, the Mathematics of Planet Earth paradigm of interdisciplinarity. The volume's primary goal is to enhance i...

The development of mathematics throughout the centuries a brief history in a cultural context

CERN Document Server

Evans, Brian

2014-01-01

Throughout the book, readers take a journey throughout time and observe how people around the world have understood these patterns of quantity, structure, and dimension around them. The Development of Mathematics Throughout the Centuries: A Brief History in a Cultural Contex provides a brief overview of the history of mathematics in a very straightforward and understandable manner and also addresses major findings that influenced the development of mathematics as a coherent discipline. This book: Highlights the contributions made by various world cultures including African, Egyptian, Babyloni

The Integration of Mathematics in Middle School Science: Student and Teacher Impacts Related to Science Achievement and Attitudes towards Integration

Science.gov (United States)

McHugh, Luisa

2016-01-01

Contemporary research has suggested that in order for students to compete globally in the 21st century workplace, pedagogy must shift to include the integration of science and mathematics, where teachers effectively incorporate the two disciplines seamlessly. Mathematics facilitates a deeper understanding of science concepts and has been linked to…

Elementary and Advanced Mathematic thinking as human activity in permanent evolution.

Directory of Open Access Journals (Sweden)

Mauricio Penagos

2017-01-01

Full Text Available The objective of this text is to present a reflection and analysis about the processes in the development of fundamental and advanced mathematical thinking as a human activity. Traditionally, mathematics education has had two barriers to overcome: First, advanced mathematical thinking is only shown at a determined age and therefore it must be addressed in university level courses. Second, the teachers of this discipline regularly introduce mathematics to students as a body of complete and irrefutable knowledge shared by a scientific community. The task of the student is to learn it, do demonstrations and reproduce this knowledge in a given period of time. Mathematical entities or objects that in occasions have taken centuries to build. In contrast with the true sense of education of this discipline that must be to empower in the students the development of mathematical thinking.

Connecting Mathematics in Primary Science Inquiry Projects

Science.gov (United States)

So, Winnie Wing-mui

2013-01-01

Science as inquiry and mathematics as problem solving are conjoined fraternal twins attached by their similarities but with distinct differences. Inquiry and problem solving are promoted in contemporary science and mathematics education reforms as a critical attribute of the nature of disciplines, teaching methods, and learning outcomes involving…

Attitudes towards mathematics as a subject and mathematics learning and instruction in a trans-disciplinary engineering study

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...... by a teacher. We propose that these findings inspire reforming mathematical education for such engineering students....

Algorithms in Modern Mathematics and Computer Science.

Science.gov (United States)

1980-01-01

importance, since we will go on doing what we are doing no matter what it is called; after all, other disciplines like Mathematics and Chemistry are no...longer related very strongly to the etymology of their names. However, if I had a chance to vote for the name of my own discipline, I would choose to call

Mathematics of flexible risers including pressure and internal flow affects

Energy Technology Data Exchange (ETDEWEB)

Seyed, F.B. (John Brown Engineers and Constructors Ltd., London (GB)); Patel, M.H. (University Coll., London (GB). Dept. of Mechanical Engineering)

1992-01-01

Derivations are presented for calculation of pressure and internal flow induced forces on flexible risers and other curved pipes using a mathematically rigorous approach. Approximate and exact methods are presented for calculation of pressure forces on straight and curved pipes in two dimensions. The mathematical identity of these equations with those for effective tension is illustrated. The force arising from the flow of an internal fluid of constant density is then calculated and combined with those for pressure forces in derivation of the catenary equations including pressure and internal flow terms. It is shown that internal flow contributes a new term to the expression for effective tension. These governing equations are then reduced for the specific cases of simple catenary, steep-S, lazy-S, steep-wave and lazy-wave risers. In each case, the solution method has been presented and the governing equilibrium and geometric compatability conditions cited. (author).

Kind discipline: Developing a conceptual model of a promising school discipline approach.

Science.gov (United States)

Winkler, Jennifer L; Walsh, Michele E; de Blois, Madeleine; Maré, Jeannette; Carvajal, Scott C

2017-06-01

This formative evaluation develops a novel conceptual model for a discipline approach fostering intrinsic motivation and positive relationships in schools. We used concept mapping to elicit and integrate perspectives on kind discipline from teachers, administrators, and other school staff. Three core themes describing kind discipline emerged from 11 identified clusters: (1) proactively developing a positive school climate, (2) responding to conflict with empathy, accountability, and skill, and (3) supporting staff skills in understanding and sharing expectations. We mapped the identified components of kind discipline onto a social ecological model and found that kind discipline encompasses all levels of that model including the individual, relational, environmental/structural, and even community levels. This contrasts with the dominant individual-behavioral discipline approaches that focus on fewer levels and may not lead to sustained student and staff motivation. The findings illustrate the importance of setting and communicating clear expectations and the need for them to be collaboratively developed. Products of the analysis and synthesis reported here are operationalized materials for teachers grounded in a "be kind" culture code for classrooms. Copyright © 2017 Elsevier Ltd. All rights reserved.

Re-Envisaging the Teaching of Mathematics: One Student Teacher's Experience Learning to Teach Primary Mathematics in a Manner Congruent with the New Zealand Curriculum

Science.gov (United States)

Bailey, Judy

2013-01-01

Teacher education can provide opportunities for contributing towards a re-envisaging of the teaching and learning of mathematics in the primary classroom. This study documents the experiences of one student teacher who, during her mathematics education courses, embraced a perception of mathematics as a social, creative and experiential discipline.…

Science, technology, engineering, mathematics (STEM) as mathematics learning approach in 21st century

Science.gov (United States)

Milaturrahmah, Naila; Mardiyana, Pramudya, Ikrar

2017-08-01

This 21st century demands competent human resources in science, technology, engineering design and mathematics so that education is expected to integrate the four disciplines. This paper aims to describe the importance of STEM as mathematics learning approach in Indonesia in the 21st century. This paper uses a descriptive analysis research method, and the method reveals that STEM education growing in developed countries today can be a framework for innovation mathematics in Indonesia in the 21st century. STEM education integrate understanding of science, math skills, and the available technology with the ability to perform engineering design process. Implementation of mathematics learning with STEM approach makes graduates trained in using of mathematics knowledge that they have to create innovative products that are able to solve the problems that exist in society.

Faculty Sufficiency and AACSB Accreditation Compliance within a Global University: A Mathematical Modeling Approach

Science.gov (United States)

Boronico, Jess; Murdy, Jim; Kong, Xinlu

2014-01-01

This manuscript proposes a mathematical model to address faculty sufficiency requirements towards assuring overall high quality management education at a global university. Constraining elements include full-time faculty coverage by discipline, location, and program, across multiple campus locations subject to stated service quality standards of…

Mathematical classification and clustering

CERN Document Server

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 ...

Accounting for primitive terms in mathematics

Directory of Open Access Journals (Sweden)

D.F.M. Strauss

2005-07-01

Full Text Available The philosophical problem of unity and diversity entails a challenge to the rationalist aim to define everything. Definitions of this kind surface in various academic disciplines in formulations like uniqueness, irreducibility, and what has acquired the designation “primitive terms”. Not even the most “exact” disciplines, such as mathematics, can avoid the implications entailed in giving an account of such primitive terms. A mere look at the historical development of mathematics highlights the fact that alternative perspectives prevailed – from the arithmeticism of Pythagoreanism, the eventual geometrisation of mathematics after the discovery of incommensurability up to the revival of arithmeticism in the mathematics of Cauchy, Weierstrass, Dedekind and Cantor (with the later orientation of Frege, who completed the circle by returning to the view that mathematics essentially is geometry. An assessment of logicism and axiomatic formalism is followed by looking at the primitive meaning of wholeness (and the whole-parts relation. With reference to the views of Hilbert, Weyl and Bernays the article concludes by suggesting that in opposition to arithmeticism and geometricism an alternative option ought to be pursued – one in which both the uniqueness and mutual coherence between the aspects of number and space are acknowledged.

Mathematics and Computer Science: Exploring a Symbiotic Relationship

Science.gov (United States)

Bravaco, Ralph; Simonson, Shai

2004-01-01

This paper describes a "learning community" designed for sophomore computer science majors who are simultaneously studying discrete mathematics. The learning community consists of three courses: Discrete Mathematics, Data Structures and an Integrative Seminar/Lab. The seminar functions as a link that integrates the two disciplines. Participation…

Latino Faculty in STEM Disciplines: Motivation to Engage in Research Activities

Science.gov (United States)

Lechuga, Vicente M.

2012-01-01

The scarcity of underrepresented faculty members in the science, technology, engineering, and mathematics (STEM) disciplines is an issue of great concern to education researchers and scholars alike. Despite their low representation, many minority faculty are able to remain motivated, even when facing barriers due to their ethnicity. I present…

NATO Advanced Research Workshop on Exploiting Mental Imagery with Computers in Mathematics Education

CERN Document Server

Mason, John

1995-01-01

The advent of fast and sophisticated computer graphics has brought dynamic and interactive images under the control of professional mathematicians and mathematics teachers. This volume in the NATO Special Programme on Advanced Educational Technology takes a comprehensive and critical look at how the computer can support the use of visual images in mathematical problem solving. The contributions are written by researchers and teachers from a variety of disciplines including computer science, mathematics, mathematics education, psychology, and design. Some focus on the use of external visual images and others on the development of individual mental imagery. The book is the first collected volume in a research area that is developing rapidly, and the authors pose some challenging new questions.

Swordmanship as Mathematical Science: The Curious Case of Luis Pacheco de Narváez

Directory of Open Access Journals (Sweden)

Felix Kurt Ernst Schmelzer

2016-11-01

Full Text Available From the 15th century on, the practitioners of the mechanical arts obtain a new self-confidence and do no longer want to be regarded merely as manual workers. In this context, they frequently underline the mathematical basis of their discipline in order to increase its value from the status of a mechanical to that of a liberal art. In the Spanish golden age period, the military art, amongst others, is conceived as a mathematical discipline. A particularly curious case is the Libro de las grandezas de la espada (1600 whose author, Luis Pacheco de Narváez (1570-1640, propagates the art of swordsmanship, which he names «the true skill», as a science based on the disciplines of the quadrivium. The present article outlines the arguments applied by Pacheco in a preliminary chapter in order to prove the mathematical and scientific status of his discipline.

EULER - A Real Virtual Library for Mathematics

CERN Document Server

Jost, Michael

2004-01-01

The EULER project completed its work in November 2002. It forms the last part of a very successful project in the specialized but global discipline of mathematics. After a successful RTD project had created the technology, a take-up project has effectively exploited it to the point where its future is assured through a not-for-profit consortium. EULER is a European based, world class, real virtual library for mathematics with up-to-date technological solutions, well accepted by users. In particular, EULER provides a world reference and delivery service, transparent to the end user and offering full coverage of the mathematics literature world-wide, including bibliographic data, peer reviews and/or abstracts, indexing, classification and search, transparent access to library services, co-operation with commercial information providers (publishers, bookstores). The EULER services provide a gateway to the electronic catalogues and repositories of participating institutions, while the latter retain complete respo...

Mathematical concepts of quantum mechanics. 2. ed.

International Nuclear Information System (INIS)

Gustafson, Stephen J.; Sigal, Israel Michael

2011-01-01

The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline. Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic notions of quantum mechanics and their mathematical content. It then makes its way to topics of current interest, specifically those in which mathematics plays an important role. The more advanced topics presented include many-body systems, modern perturbation theory, path integrals, the theory of resonances, quantum statistics, mean-field theory, second quantization, the theory of radiation (non-relativistic quantum electrodynamics), and the renormalization group. With different selections of chapters, the book can serve as a text for an introductory, intermediate, or advanced course in quantum mechanics. The last four chapters could also serve as an introductory course in quantum field theory. (orig.)

Mathematical and numerical foundations of turbulence models and applications

CERN Document Server

Chacón Rebollo, Tomás

2014-01-01

With applications to climate, technology, and industry, the modeling and numerical simulation of turbulent flows are rich with history and modern relevance. The complexity of the problems that arise in the study of turbulence requires tools from various scientific disciplines, including mathematics, physics, engineering, and computer science. Authored by two experts in the area with a long history of collaboration, this monograph provides a current, detailed look at several turbulence models from both the theoretical and numerical perspectives. The k-epsilon, large-eddy simulation, and other models are rigorously derived and their performance is analyzed using benchmark simulations for real-world turbulent flows. Mathematical and Numerical Foundations of Turbulence Models and Applications is an ideal reference for students in applied mathematics and engineering, as well as researchers in mathematical and numerical fluid dynamics. It is also a valuable resource for advanced graduate students in fluid dynamics,...

Conference Cultures of Mathematics and Logic

CERN Document Server

Löwe, Benedikt; Müller, Thomas; Xie, Yun

2016-01-01

This book gathers the proceedings of the conference "Cultures of Mathematics and Logic," held in Guangzhou, China. The event was the third in a series of interdisciplinary, international conferences emphasizing the cultural components of philosophy of mathematics and logic. It brought together researchers from many disciplines whose work sheds new light on the diversity of mathematical and logical cultures and practices. In this context, the cultural diversity can be diachronical (different cultures in different historical periods), geographical (different cultures in different regions), or sociological in nature.

Adaptation of mathematical educational content in e-learning resources

Directory of Open Access Journals (Sweden)

Yuliya V. Vainshtein

2017-01-01

algorithms for the educational content in the adaptive e-learning resource made it possible to implement individual educational paths in the electronic environment. For each student it was formed a personal space of mathematical educational content that “adapts” to its level of mastering the material, which contributed to improving the quality of the educational process in mathematical disciplines.In this paper, the methods of mathematical modeling and logicalgnosiological analysis, the theory of graphs and hypergraphs, system analysis, dynamic processes and systems control theory, complex systems design and imitation modelling methods were used.Approbation of the proposed algorithms for the educational content organization of adaptation in the adaptive electronic learning resource for the discipline “Discrete mathematics” showed the productivity of the proposed approach in the teaching process. The obtained results could be used for adaptive electronic educational resources construction in other educational institutions of higher education.Further development of the proposed approach involves the development of a formal model of the educational content adaptation, including control rules, based on the expert evaluation methods and the fuzzy-set theory.

Mathematics and Science Teachers' Use of and Confidence in Empirical Reasoning: Implications for STEM Teacher Preparation

Science.gov (United States)

Wasserman, Nicholas H.; Rossi, Dara

2015-01-01

The recent trend to unite mathematically related disciplines (science, technology, engineering, and mathematics) under the broader umbrella of STEM education has advantages. In this new educational context of integration, however, STEM teachers need to be able to distinguish between sufficient proof and reasoning across different disciplines,…

Mathematics and Martial Arts as Connected Art Forms

Science.gov (United States)

Hekimoglu, Serkan

2010-01-01

Parallels between martial arts and mathematics are explored. Misguided public perception of both disciplines, students' misconceptions, and the similarities between proofs and katas are among the striking commonalities between martial arts and mathematics. The author also reflects on what he has learned in his martial arts training, and how this…

Parents: How to Make Discipline Work for You.

Science.gov (United States)

Ryan, Gloria

1985-01-01

One of the greatest challenges facing parents is disciplining children. Discipline is not controlling or imposing a parent's will upon children. It is a positive way of helping and guiding children to achieve self-discipline. Discipline tips for parents are included. (MT)

The Mathematics Doctorate: A Time for Change? Carnegie Essays on the Doctorate: Mathematics.

Science.gov (United States)

Chan, Tony F.

The Carnegie Foundation commissioned a collection of essays as part of the Carnegie Initiative on the Doctorate (CID). Essays and essayists represent six disciplines that are part of the CID: chemistry, education, English, history, mathematics, and neuroscience. Intended to engender conversation about the conceptual foundation of doctoral…

Using pedagogical discipline representations (PDRs) to enable Astro 101 students to reason about modern astrophysics

Science.gov (United States)

Wallace, Colin Scott; Prather, Edward E.; Chambers, Timothy G.; Kamenetzky, Julia R.; Hornstein, Seth D.

2017-01-01

Instructors of introductory, college-level, general education astronomy (Astro 101) often want to include topics from the cutting-edge of modern astrophysics in their course. Unfortunately, the teaching of these cutting-edge topics is typically confined to advanced undergraduate or graduate classes, using representations (graphical, mathematical, etc.) that are inaccessible to the vast majority of Astro 101 students. Consequently, many Astro 101 instructors feel that they have no choice but to cover these modern topics at a superficial level. Pedagogical discipline representations (PDRs) are one solution to this problem. Pedagogical discipline representations are representations that are explicitly designed to enhance the teaching and learning of a topic, even though these representations may not typically be found in traditional textbooks or used by experts in the discipline who are engaged in topic-specific discourse. In some cases, PDRs are significantly simplified or altered versions of typical discipline representations (graphs, data tables, etc.); in others they may be novel and highly contextualized representations with unique features that purposefully engage novice learners’ pre-existing mental models and reasoning difficulties, facilitating critical discourse. In this talk, I will discuss important lessons that my colleagues and I have learned while developing PDRs and describe how PDRs can enable students to reason about complex modern astrophysical topics.

Using Mathematics and Engineering to Solve Problems in Secondary Level Biology

Science.gov (United States)

Cox, Charles; Reynolds, Birdy; Schunn, Christian; Schuchardt, Anita

2016-01-01

There are strong classroom ties between mathematics and the sciences of physics and chemistry, but those ties seem weaker between mathematics and biology. Practicing biologists realize both that there are interesting mathematics problems in biology, and that viewing classroom biology in the context of another discipline could support students'…

Revealing Future Research Capacity from an Analysis of a National Database of Discipline-Coded Australian PhD Thesis Records

Science.gov (United States)

Pittayachawan, Siddhi; Macauley, Peter; Evans, Terry

2016-01-01

This article reports how statistical analyses of PhD thesis records can reveal future research capacities for disciplines beyond their primary fields. The previous research showed that most theses contributed to and/or used methodologies from more than one discipline. In Australia, there was a concern for declining mathematical teaching and…

Perspectives on Parent Discipline and Child Outcomes

Science.gov (United States)

Grusec, Joan E.; Danyliuk, Tanya; Kil, Hali; O'Neill, David

2017-01-01

Effective discipline involves the use of negative consequences, including reasoning as well as modest levels of power assertion, to discourage unacceptable behavior. A brief history of changing views of discipline is presented and recent positions outlined. Successful discipline requires the imposition of clear and consistent rules, autonomy…

Encouraging Creativity in Mathematics and Science through Photography

Science.gov (United States)

Munakata, Mika; Vaidya, Ashwin

2012-01-01

Based on the results of a survey of the science and mathematics students at our university, we observed that students do not consider mathematics and science to be creative endeavors, though the traditional artistic disciplines rank high in this regard. To address this problem in perception, the authors used photography as a means to encourage…

Differences in Collaboration Patterns across Discipline, Career Stage, and Gender.

Directory of Open Access Journals (Sweden)

Xiao Han T Zeng

2016-11-01

Full Text Available Collaboration plays an increasingly important role in promoting research productivity and impact. What remains unclear is whether female and male researchers in science, technology, engineering, and mathematical (STEM disciplines differ in their collaboration propensity. Here, we report on an empirical analysis of the complete publication records of 3,980 faculty members in six STEM disciplines at select U.S. research universities. We find that female faculty have significantly fewer distinct co-authors over their careers than males, but that this difference can be fully accounted for by females' lower publication rate and shorter career lengths. Next, we find that female scientists have a lower probability of repeating previous co-authors than males, an intriguing result because prior research shows that teams involving new collaborations produce work with higher impact. Finally, we find evidence for gender segregation in some sub-disciplines in molecular biology, in particular in genomics where we find female faculty to be clearly under-represented.

Parents' common pitfalls of discipline.

Science.gov (United States)

Witoonchart, Chatree; Fangsa-ard, Thitiporn; Chaoaree, Supamit; Ketumarn, Panom; Kaewpornsawan, Titawee; Phatthrayuttawat, Sucheera

2005-11-01

Problems of discipline are common among parents. These may be the results of the parents' pitfalls in disciplining their children. To find out common pitfalls of parents in disciplining their children. Parents of students with ages ranged between 60-72 months old in Bangkok-Noi district, Bangkok, were selected by random sampling. Total number of 1947 children ages between 60-72 months were recruited. Parents of these children were interviewed with a questionnaire designed to probe into problems in child rearing. There hindered and fifty questionnaires were used for data analyses. Parents had high concerns about problems in discipline their children and needed support from professional personnel. They had limited knowledge and possessed lots of wrong attitude towards discipline. Common pitfalls on the topics were problems in, 1) limit setting 2) rewarding and punishment 3) supervision on children watching TV and bedtime routines. Parents of children with ages 60-72 months old in Bangkok-Noi district, Bangkok, had several common pitfalls in disciplining their children, including attitude, knowledge and practice.

Architecture and mathematics from antiquity to the future

CERN Document Server

2015-01-01

The aim of this collection of essays is to present a broad portrait of the ways in which two seemingly different disciplines are interconnected. The diversity and varied texture of the essays richly illustrates the affinity between architecture and mathematics. As the almost 100 papers presented in this two-volume publication show, every age and every culture has relied on principles of mathematics incorporated in their works of architecture to imbue their built environment with meaning and order. Included are discussions of geometry, proportional systems, linear algebra, periodic and aperiodic tilings, fractals, perspective, computer science and mechanics. Western architecture of every period is examined: Egyptian, Roman, Medieval, Renaissance, Baroque, Enlightenment, twentieth-century and beyond, as is the architecture of Turkey, China, India, Japan, Australia and Islam. The mathematical nature of the architecture of Leon Battista Alberti, Andrea Palladio and Frank Lloyd Wright is examined, and the philosop...

Writing disciplines: producing disciplinary knowledge in the context of contemporary higher education

Directory of Open Access Journals (Sweden)

Karin Tusting

2016-11-01

Full Text Available This paper addresses academic disciplinary writing practices, and how these are affected by changes in the landscape of Higher Education in the UK. After exploring the definition and understanding of the notion of “discipline”, the paper presents research from an ESRC-funded research project studying academics’ everyday writing practices, working closely with academics across different disciplines and different kinds of higher education institutions. The changing context of Higher Education in the UK is presented, in particular the emergence of new kinds of managerial practices which shape and co-ordinate the everyday writing work of academics. The paper shows that while some disciplines, such as History and Pure Mathematics, are associated with clearly-defined writing practices, others are more diverse. It discusses how managerial practices, particularly those driven by centralised national research evaluations, affect different disciplines in different ways.

Mathematical challenges from theoretical/computational chemistry

Energy Technology Data Exchange (ETDEWEB)

NONE

1995-12-31

The committee believes that this report has relevance and potentially valuable suggestions for a wide range of readers. Target audiences include: graduate departments in the mathematical and chemical sciences; federal and private agencies that fund research in the mathematical and chemical sciences; selected industrial and government research and development laboratories; developers of software and hardware for computational chemistry; and selected individual researchers. Chapter 2 of this report covers some history of computational chemistry for the nonspecialist, while Chapter 3 illustrates the fruits of some past successful cross-fertilization between mathematical scientists and computational/theoretical chemists. In Chapter 4 the committee has assembled a representative, but not exhaustive, survey of research opportunities. Most of these are descriptions of important open problems in computational/theoretical chemistry that could gain much from the efforts of innovative mathematical scientists, written so as to be accessible introductions to the nonspecialist. Chapter 5 is an assessment, necessarily subjective, of cultural differences that must be overcome if collaborative work is to be encouraged between the mathematical and the chemical communities. Finally, the report ends with a brief list of conclusions and recommendations that, if followed, could promote accelerated progress at this interface. Recognizing that bothersome language issues can inhibit prospects for collaborative research at the interface between distinctive disciplines, the committee has attempted throughout to maintain an accessible style, in part by using illustrative boxes, and has included at the end of the report a glossary of technical terms that may be familiar to only a subset of the target audiences listed above.

Mathematical Description and Mechanistic Reasoning: A Pathway toward STEM Integration

Science.gov (United States)

Weinberg, Paul J.

2017-01-01

Because reasoning about mechanism is critical to disciplined inquiry in science, technology, engineering, and mathematics (STEM) domains, this study focuses on ways to support the development of this form of reasoning. This study attends to how mechanistic reasoning is constituted through mathematical description. This study draws upon Smith's…

Training Engineering Disciplines and Skills through Robot Projects

DEFF Research Database (Denmark)

Friesel, Anna

The popularity of robots in educational activities increased the last 10-15 years. Engineering education all over the world includes courses and projects involving design, use and programming of robots in a variety of programs at technical colleges and universities. At the same time there is a gr......The popularity of robots in educational activities increased the last 10-15 years. Engineering education all over the world includes courses and projects involving design, use and programming of robots in a variety of programs at technical colleges and universities. At the same time...... there is a growing interest to work with robots. Robotic skills are also highly requested in industrial companies. At the Technical University of Denmark, DTU Diplom, we have several projects involving building and programing robots in our bachelor programs in Electronics, Computer Science, IT and Mechanical...... Engineering. This presentation deals with our experience in robotic activities in different programs in order to enhance understanding of mathematics, physics and different technical disciplines in the named programs. We also observed the increased motivation for learning theory when we combine traditional...

The Spectrum of Mathematical Models.

Science.gov (United States)

Karplus, Walter J.

1983-01-01

Mathematical modeling problems encountered in many disciplines are discussed in terms of the modeling process and applications of models. The models are classified according to three types of abstraction: continuous-space-continuous-time, discrete-space-continuous-time, and discrete-space-discrete-time. Limitations in different kinds of modeling…

Mathematical Practices and Arts Integration in an Activity-Based Projective Geometry Course

Science.gov (United States)

Ernest, Jessica Brooke

It is a general assumption that the mathematical activity of students in school should, at least to some degree, parallel the practices of professional mathematicians (Brown, Collins, Duguid, 1989; Moschkovich, 2013). This assumption is reflected in the Common Core State Standards (CCSSI, 2010) and National Council of Teachers of Mathematics (NCTM, 2000) standards documents. However, the practices included in these standards documents, while developed to reflect the practices of professional mathematicians, may be idealized versions of what mathematicians actually do (Moschkovich, 2013). This might lead us to question then: "What is it that mathematicians do, and what practices are not being represented in the standards documents?" In general, the creative work of mathematicians is absent from the standards and, in turn, from school mathematics curricula, much to the dismay of some mathematicians and researchers (Lockhart, 2009; Rogers, 1999). As a result, creativity is not typically being fostered in mathematics students. As a response to this lack of focus on fostering creativity (in each of the science, technology, engineering, and mathematics disciplines--the STEM disciplines), a movement to integrate the arts emerged. This movement, called the STEAM movement--introducing the letter A into the acronym STEM to signify incorporating the arts--has been gaining momentum, yet limited research has been carried out on the efficacy of integrating the arts into mathematics courses. My experiences as the co-instructor for an activity-based course focused on projective geometry led me to consider the course as a setting for investigating both mathematical practices and arts integration. In this work, I explored the mathematical practices in which students engaged while working to develop an understanding of projective geometry through group activities. Furthermore, I explored the way in which students' learning experiences were enriched through artistic engagement in the

Socially Response-Able Mathematics Education: Implications of an Ethical Approach

Science.gov (United States)

Atweh, Bill; Brady, Kate

2009-01-01

This paper discusses an approach to mathematics education based on the concept of ethical responsibility. It argues that an ethical approach to mathematics teaching lays the theoretical foundations for social justice concerns in the discipline. The paper develops a particular understanding of ethical responsibility based on the writings of Emanuel…

The Carnegie Initiative on the Doctorate: The Case of Mathematics. Carnegie Essays on the Doctorate: Mathematics.

Science.gov (United States)

Bass, Hyman

The Carnegie Foundation commissioned a collection of essays as part of the Carnegie Initiative on the Doctorate (CID). Essays and essayists represent six disciplines that are part of the CID: chemistry, education, English, history, mathematics, and neuroscience. Intended to engender conversation about the conceptual foundation of doctoral…

Mathematics for sustainability

CERN Document Server

Roe, John; Jamshidi, Sara

2018-01-01

Designed for the 21st century classroom, this textbook poses, refines, and analyzes questions of sustainability in a quantitative environment. Building mathematical knowledge in the context of issues relevant to every global citizen today, this text takes an approach that empowers students of all disciplines to understand and reason with quantitative information. Whatever conclusions may be reached on a given topic, this book will prepare the reader to think critically about their own and other people’s arguments and to support them with careful, mathematical reasoning. Topics are grouped in themes of measurement, flow, connectivity, change, risk, and decision-making. Mathematical thinking is at the fore throughout, as students learn to model sustainability on local, regional, and global scales. Exercises emphasize concepts, while projects build and challenge communication skills. With no prerequisites beyond high school algebra, instructors will find this book a rich resource for engaging all majors in the...

DESIGN OF EDUCATIONAL PROBLEMS ON LINEAR PROGRAMMING USING SYSTEMS OF COMPUTER MATHEMATICS

Directory of Open Access Journals (Sweden)

Volodymyr M. Mykhalevych

2013-11-01

Full Text Available From a perspective of the theory of educational problems a problem of substitution in the conditions of ICT use of one discipline by an educational problem of another discipline is represented. Through the example of mathematical problems of linear programming it is showed that a student’s method of operation in the course of an educational problem solving is determinant in the identification of an educational problem in relation to a specific discipline: linear programming, informatics, mathematical modeling, methods of optimization, automatic control theory, calculus etc. It is substantiated the necessity of linear programming educational problems renovation with the purpose of making students free of bulky similar arithmetic calculations and notes which often becomes a barrier to a deeper understanding of key ideas taken as a basis of algorithms used by them.

9th International Congress on Mathematical Education

CERN Document Server

Hashimoto, Yoshihiko; Hodgson, Bernard; Lee, Peng; Lerman, Stephen; Sawada, Toshio

2004-01-01

Mathematics as a discipline has a long history, emerging from many cultures, with a truly universal character. Mathematicians throughout the world have a fundamentally common understanding of the nature of mathematics and of its central problems and methods. Research mathematicians in any part of the world are part of a cohesive intellectual community that communicates fluently. Mathematics education in contrast has a variable and culturally based character, and this is certainly true of educational organization and practice. Educational research is both an applied social science and a multidisciplinary domain of theoretical scholarship. Among organizations devoted to mathematics education, The International Commission on Mathematical Instruction (ICMI) is distinctive because of its close ties to the mathematics community. The great challenges now facing mathematics education around the world demand a deeper and more sensitive involvement of disciplinary mathematicians than we now have, both in the work of ed...

The story of mathematics

CERN Document Server

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...

Episodes in the mathematics of medieval Islam

CERN Document Server

Berggren, J L

1986-01-01

From the reviews: The book is, in spite of the author's more modest claims, an introductory survey of main developments in those disciplines which were particularly important in Medieval Islamic mathematics...No knowledge of mathematics (or of the history of mathematics) beyond normal high-school level is presupposed, and everything required beyond that (be it Apollonian theory of conics or the definitions of celestial circles) is explained carefully and clearly. Scattered throughout the work are a number of lucid remarks on the character of Islamic mathematics or of mathematical work in general. The book will hence not only be an excellent textbook for the teaching of the history of mathematics but also for the liberal art aspect of mathematics teaching in general. - Jens Høyrup, Mathematical Reviews ...as a textbook, this work is highly commendable...It is definitely the product of a skillful mathematician who has collected over the years a reasonably large number of interesting problems from medieval Arab...

Single-Discipline Schooling.

Science.gov (United States)

Brady, Marion

1993-01-01

Traditional academic disciplines are not best available tools for teaching about reality. The concept of human survival provides an overarching aim for a general education curriculum. Survival information includes knowledge about our physical environment; inherent human characteristics and capabilities; the ideas, beliefs, and values underlying…

A Framework for Proofs and Refutations in School Mathematics: Increasing Content by Deductive Guessing

Science.gov (United States)

Komatsu, Kotaro

2016-01-01

The process of proofs and refutations described by Lakatos is essential in school mathematics to provide students with an opportunity to experience how mathematical knowledge develops dynamically within the discipline of mathematics. In this paper, a framework for describing student processes of proofs and refutations is constructed using a set of…

Construction and modification of the autonomy of school mathematical knowledge in Portugal

Directory of Open Access Journals (Sweden)

José Manuel Matos

2016-01-01

Full Text Available During the second half of the nineteenth century and early twentieth century the discipline of secondary mathematics was gradually built in Portugal and certified teachers, textbooks, programs, special teaching techniques emerge. This consolidation process ends with the emergency of school subjects that develop some kind of autonomy as Chervel puts it. This article discusses how the school discipline of mathematics in secondary education in Portugal was set. This process is inseparable from teacher training and so we will observe professional legitimation processes paying special attention to ways in which autonomy has been building and modifying over time.

The Integration of Mathematics in Middle School Science: Student and Teacher Impacts Related to Science Achievement and Attitudes Towards Integration

Science.gov (United States)

McHugh, Luisa

Contemporary research has suggested that in order for students to compete globally in the 21st century workplace, pedagogy must shift to include the integration of science and mathematics, where teachers effectively incorporate the two disciplines seamlessly. Mathematics facilitates a deeper understanding of science concepts and has been linked to improved student perception of the integration of science and mathematics. Although there is adequate literature to substantiate students' positive responses to integration in terms of attitudes, there has been little empirical data to support significant academic improvement when both disciplines are taught in an integrated method. This research study, conducted at several school districts on Long Island and New York City, New York, examined teachers' attitudes toward integration and students' attitudes about, and achievement on assessments in, an integrated 8th grade science classroom compared to students in a non-integrated classroom. An examination of these parameters was conducted to analyze the impact of the sizeable investment of time and resources needed to teach an integrated curriculum effectively. These resources included substantial teacher training, planning time, collaboration with colleagues, and administration of student assessments. The findings suggest that students had positive outcomes associated with experiencing an integrated science and mathematics curriculum, though these were only weakly correlated with teacher confidence in implementing the integrated model successfully. The positive outcomes included the ability of students to understand scientific concepts within a concrete mathematical framework, improved confidence in applying mathematics to scientific ideas, and increased agreement with the usefulness of mathematics in interpreting science concepts. Implications of these research findings may be of benefit to educators and policymakers looking to adapt integrated curricula in order to

A Critical Discourse Analysis of Practical Problems in a Foundation Mathematics Course at a South African University

Science.gov (United States)

le Roux, Kate; Adler, Jill

2016-01-01

Mathematical problems that make links to the everyday and to disciplines other than mathematics--variously referred to as practical, realistic, real-world or applied problems in the literature--feature in school and undergraduate mathematics reforms aimed at increasing mathematics participation in contexts of inequity and diversity. In this…

Linear programming mathematics, theory and algorithms

CERN Document Server

1996-01-01

Linear Programming provides an in-depth look at simplex based as well as the more recent interior point techniques for solving linear programming problems. Starting with a review of the mathematical underpinnings of these approaches, the text provides details of the primal and dual simplex methods with the primal-dual, composite, and steepest edge simplex algorithms. This then is followed by a discussion of interior point techniques, including projective and affine potential reduction, primal and dual affine scaling, and path following algorithms. Also covered is the theory and solution of the linear complementarity problem using both the complementary pivot algorithm and interior point routines. A feature of the book is its early and extensive development and use of duality theory. Audience: The book is written for students in the areas of mathematics, economics, engineering and management science, and professionals who need a sound foundation in the important and dynamic discipline of linear programming.

African Journal of Educational Studies in Mathematics and Sciences ...

African Journals Online (AJOL)

African Journal of Educational Studies in Mathematics and Sciences. ... The level of detail varies; some disciplines produce manuscripts that comprise discrete .... Duplicate publication, sometimes called self-plagiarism, occurs when an author ...

Mathematical Rigor in Introductory Physics

Science.gov (United States)

Vandyke, Michael; Bassichis, William

2011-10-01

Calculus-based introductory physics courses intended for future engineers and physicists are often designed and taught in the same fashion as those intended for students of other disciplines. A more mathematically rigorous curriculum should be more appropriate and, ultimately, more beneficial for the student in his or her future coursework. This work investigates the effects of mathematical rigor on student understanding of introductory mechanics. Using a series of diagnostic tools in conjunction with individual student course performance, a statistical analysis will be performed to examine student learning of introductory mechanics and its relation to student understanding of the underlying calculus.

Activity and sign grounding mathematics education

CERN Document Server

Hoffmann, Michael HG; Seeger, Falk

2005-01-01

The advancement of a scientific discipline depends not only on the ""big heroes"" of a discipline, but also on a community's ability to reflect on what has been done in the past and what should be done in the future. This volume combines perspectives on both. It celebrates the merits of Michael Otte as one of the most important founding fathers of mathematics education by bringing together all the new and fascinating perspectives created through his career as a bridge builder in the field of interdisciplinary research and cooperation. The perspectives elaborated here are for the greatest part

University Science and Mathematics Education in Transition

DEFF Research Database (Denmark)

Skovsmose, Ole; Valero, Paola; Christensen, Ole Ravn

configuration poses to scientific knowledge, to universities and especially to education in mathematics and science. Traditionally, educational studies in mathematics and science education have looked at change in education from within the scientific disciplines and in the closed context of the classroom....... Although educational change is ultimately implemented in everyday teaching and learning situations, other parallel dimensions influencing these situations cannot be forgotten. An understanding of the actual potentialities and limitations of educational transformations are highly dependent on the network...... of educational, cultural, administrative and ideological views and practices that permeate and constitute science and mathematics education in universities today. University Science and Mathematics Education in Transition contributes to an understanding of the multiple aspects and dimensions of the transition...

The Big Data Tools Impact on Development of Simulation-Concerned Academic Disciplines

Directory of Open Access Journals (Sweden)

A. A. Sukhobokov

2015-01-01

Full Text Available The article gives a definition of Big Data on the basis of 5V (Volume, Variety, Velocity, Veracity, Value as well as shows examples of tasks that require using Big Data tools in a diversity of areas, namely: health, education, financial services, industry, agriculture, logistics, retail, information technology, telecommunications and others. An overview of Big Data tools is delivered, including open source products, IBM Bluemix and SAP HANA platforms. Examples of architecture of corporate data processing and management systems using Big Data tools are shown for big Internet companies and for enterprises in traditional industries. Within the overview, a classification of Big Data tools is proposed that fills gaps of previously developed similar classifications. The new classification contains 19 classes and allows embracing several hundreds of existing and emerging products.The uprise and use of Big Data tools, in addition to solving practical problems, affects the development of scientific disciplines concerning the simulation of technical, natural or socioeconomic systems and the solution of practical problems based on developed models. New schools arise in these disciplines. These new schools decide peculiar to each discipline tasks, but for systems with a much bigger number of internal elements and connections between them. Characteristics of the problems to be solved under new schools, not always meet the criteria for Big Data. It is suggested to identify the Big Data as a part of the theory of sorting and searching algorithms. In other disciplines the new schools are called by analogy with Big Data: Big Calculation in numerical methods, Big Simulation in imitational modeling, Big Management in the management of socio-economic systems, Big Optimal Control in the optimal control theory. The paper shows examples of tasks and methods to be developed within new schools. The educed tendency is not limited to the considered disciplines: there are

THE CONCEPT OF THE EDUCATIONAL COMPUTER MATHEMATICS SYSTEM AND EXAMPLES OF ITS IMPLEMENTATION

Directory of Open Access Journals (Sweden)

M. Lvov

2014-11-01

Full Text Available The article deals with the educational computer mathematics system, based in Kherson State University and resulted in more than 8 software tools to orders of the Ministry of Education, Science, Youth and Sports of Ukraine. The exact and natural sciences are notable among all disciplines both in secondary schools and universities. They form the fundamental scientific knowledge, based on precise mathematical models and methods. The educational process for these courses should include not only lectures and seminars, but active forms of studying as well: practical classes, laboratory work, practical training, etc. The enumerated peculiarities determine specific intellectual and architectural properties of information technologies, developed to be used in the educational process of these disciplines. Whereas, in terms of technologies used in the implementation of the functionality of software, they are actually the educational computer algebra system. Thus the algebraic programming system APS developed in the Institute of Cybernetics of the National Academy of Sciences of Ukraine led by Academician O.A. Letychevskyi in the 80 years of the twentieth century is especially important for their development.

Drawing Women In: Engaging in Science and Engineering Disciplines

Science.gov (United States)

Greene, Senta

2013-03-01

Recent data on the participation of women in the scientific, technological, engineering, and mathematical (STEM) disciplines shows a landscape that is somewhat different from our expectations in the past. For example, women who earn bachelors' degrees in physics go on to earn PhDs, be hired to faculty positions, and achieve promotions at the same rate as their male counterparts. However, such gains do not foretell equal participation of women in physics since, although girls make up about half of high school physics classes, the fraction of bachelor's degrees earned by women has been flat at around 20% for about a decade. This remains true even with significantly increased awareness of the need to attract more women to STEM fields and despite various interventions to attract and retain talented women. This talk will present an overview of data on women's participation in STEM disciplines, provide possible explanations for the continued failure to attract women to some STEM fields, and give a brief description of some current interventions.

Encouraged or Weeded Out: Perspectives of Students of Color in the STEM Disciplines on Faculty Interactions

Science.gov (United States)

McCoy, Dorian L.; Luedke, Courtney L.; Winkle-Wagner, Rachelle

2017-01-01

For this multisite qualitative case study, framed in Bourdieu's social reproduction theory, we examined mentoring experiences among Students of Color majoring in science, technology, engineering and mathematics (STEM) disciplines at both a predominantly White institution and a historically Black institution. Findings revealed that faculty served…

Developmental biology, the stem cell of biological disciplines.

Science.gov (United States)

Gilbert, Scott F

2017-12-01

Developmental biology (including embryology) is proposed as "the stem cell of biological disciplines." Genetics, cell biology, oncology, immunology, evolutionary mechanisms, neurobiology, and systems biology each has its ancestry in developmental biology. Moreover, developmental biology continues to roll on, budding off more disciplines, while retaining its own identity. While its descendant disciplines differentiate into sciences with a restricted set of paradigms, examples, and techniques, developmental biology remains vigorous, pluripotent, and relatively undifferentiated. In many disciplines, especially in evolutionary biology and oncology, the developmental perspective is being reasserted as an important research program.

History of mathematics and history of science reunited?

Science.gov (United States)

Gray, Jeremy

2011-09-01

For some years now, the history of modern mathematics and the history of modern science have developed independently. A step toward a reunification that would benefit both disciplines could come about through a revived appreciation of mathematical practice. Detailed studies of what mathematicians actually do, whether local or broadly based, have often led in recent work to examinations of the social, cultural, and national contexts, and more can be done. Another recent approach toward a historical understanding of the abstractness of modern mathematics has been to see it as a species of modernism, and this thesis will be tested by the raft of works on the history of modern applied mathematics currently under way.

Developmental biology, the stem cell of biological disciplines

OpenAIRE

Gilbert, Scott F.

2017-01-01

Developmental biology (including embryology) is proposed as "the stem cell of biological disciplines.” Genetics, cell biology, oncology, immunology, evolutionary mechanisms, neurobiology, and systems biology each has its ancestry in developmental biology. Moreover, developmental biology continues to roll on, budding off more disciplines, while retaining its own identity. While its descendant disciplines differentiate into sciences with a restricted set of paradigms, examples, and techniques, ...

Social Science Disciplines. Fundamental for Curriculum Development.

Science.gov (United States)

McLendon, Johathan C., Ed.

This guide is written for the social studies curriculum developer interested in developing a structured multidisciplinary program based on the concepts, methodology, and structure of social science disciplines and history. Seven 15-29 page chapters are included on each discipline: Anthropology and Psychology, by Charles R. Berryman; Economics, by…

Small-Group Learning in Undergraduate STEM Disciplines: Effect of Group Type on Student Achievement

Science.gov (United States)

Micari, Marina; Pazos, Pilar; Streitwieser, Bernhard; Light, Gregory

2010-01-01

Small-group learning in the science, technology, engineering, and mathematics (STEM) disciplines has been widely studied, and it is clear that this method offers many benefits to students. Less attention has been paid to the ways in which small learning groups differ from one another, and how these differences may affect student learning and…

Introductive backgrounds of modern quantum mathematics with application to nonlinear dynamical systems

International Nuclear Information System (INIS)

Prykarpatsky, A.K.; Bogoliubov, N.N. Jr.; Golenia, J.; Taneri, U.

2007-09-01

Introductive backgrounds of a new mathematical physics discipline - Quantum Mathematics - are discussed and analyzed both from historical and analytical points of view. The magic properties of the second quantization method, invented by V. Fock in 1934, are demonstrated, and an impressive application to the nonlinear dynamical systems theory is considered. (author)

New trends and advanced methods in interdisciplinary mathematical sciences

CERN Document Server

2017-01-01

The latest of five multidisciplinary volumes, this book spans the STEAM-H (Science, Technology, Engineering, Agriculture, Mathematics, and Health) disciplines with the intent to generate meaningful interdisciplinary interaction and student interest. Emphasis is placed on important methods and applications within and beyond each field. Topics include geometric triple systems, image segmentation, pattern recognition in medicine, pricing barrier options, p-adic numbers distribution in geophysics data pattern, adelic physics, and evolutionary game theory. Contributions were by invitation only and peer-reviewed. Each chapter is reasonably self-contained and pedagogically presented for a multidisciplinary readership.

Integrating the Use of Interdisciplinary Learning Activity Task in Creating Students' Mathematical Knowledge

Science.gov (United States)

Mahanin, Hajah Umisuzimah Haji; Shahrill, Masitah; Tan, Abby; Mahadi, Mar Aswandi

2017-01-01

This study investigated the use of interdisciplinary learning activity task to construct students' knowledge in Mathematics, specifically on the topic of scale drawing application. The learning activity task involved more than one academic discipline, which is Mathematics, English Language, Art, Geography and integrating the Brunei Darussalam…

Mathematical Processes: A Viewpoint-oriented Manipulation Perspective

DEFF Research Database (Denmark)

Badie, Farshad

2008-01-01

View-point oriented manipulation of concepts can be helpful for generating new ideas in basic sciences and in the meantime, justifying the processes that are principally meaningful to the related disciplines. Mathematics, as a major ground for basic sciences, seems to be an appropriate exemplar t...

[Discipline construction is the theme of the development of burn surgery].

Science.gov (United States)

Jia, C Y

2018-03-20

Discipline construction is the core element of department development, including discipline structure setting, scale, equipment, medical workers structure, clinical feature and advantage, talent training, teaching level, scientific research level, management system, and cultural construction of department. As leader and engine of discipline construction, directors' ability is an important factor for discipline construction. Clinical characteristic is the basis of discipline construction; innovation actuation is the essence of discipline construction; talents training is the guarantee of discipline construction; scientific research is the wing of discipline construction; cultural construction is the hot spring of discipline construction. Discipline construction is the theme of the development of burn surgery.

The Beyträge at 200: Bolzano's quiet revolution in the philosophy of mathematics

Directory of Open Access Journals (Sweden)

Jan Sebestik

2013-02-01

Full Text Available This paper surveys Bolzano's Beyträge zu einer begründeteren Darstellung der Mathematik (Contributions to a better-grounded presentation of mathematics on the 200th anniversary of its publication.  The first and only published issue presents a definition of mathematics, a classification of its subdisciplines, and an essay on mathematical method, or logic.  Though underdeveloped in some areas (including,somewhat surprisingly, in logic, it is nonetheless a radically innovative work, where Bolzano presents a remarkably modern account of axiomatics and the epistemology of the formal sciences.  We also discuss the second, unfinished and unpublished issue, where Bolzano develops his views on universal mathematics. Here we find the beginnings of his theory of collections, for him the most fundamental of the mathematical disciplines.  Though not exactly the same as the later Cantorian set theory, Bolzano's theory of collections was used in very similar ways in mathematics, notably in analysis.  In retrospect, Bolzano's debut in philosophy was a remarkably successful one, though its fruits would only become generally known much later.

Linking Preservice Teachers' Mathematics Self-Efficacy and Mathematics Teaching Efficacy to Their Mathematical Performance

Science.gov (United States)

Bates, Alan B.; Latham, Nancy; Kim, Jin-ah

2011-01-01

This study examined preservice teachers' mathematics self-efficacy and mathematics teaching efficacy and compared them to their mathematical performance. Participants included 89 early childhood preservice teachers at a Midwestern university. Instruments included the Mathematics Self-Efficacy Scale (MSES), Mathematics Teaching Efficacy Beliefs…

Making Visible and Acting on Issues of Racism and Racialization in School Mathematics

Science.gov (United States)

Morvan, Jhonel A.

2017-01-01

Schools, as social systems, may knowingly or unintentionally perpetuate inequities through unchallenged oppressive systems. This paper focuses on mathematics as a subject area in school practices in which inequities seem to be considered normal. Issues of racism and racialization in the discipline of mathematics are predominantly lived through the…

Designing Opportunities to Learn Mathematics Theory-Building Practices

Science.gov (United States)

Bass, Hyman

2017-01-01

Mathematicians commonly distinguish two modes of work in the discipline: "Problem solving," and "theory building." Mathematics education offers many opportunities to learn problem solving. This paper explores the possibility, and value, of designing instructional activities that provide supported opportunities for students to…

Mathematics Learning by Programming in a Game Engine

DEFF Research Database (Denmark)

Triantafyllou, Evangelia; Timcenko, Olga; Misfeldt, Morten

2017-01-01

This paper emerges from our research focusing on mathematics education in trans-disciplinary engineering programs and presents a case study in such an engineering discipline, namely the Media Technology program at Aalborg University Copenhagen, Denmark. In this case study, we substituted traditio...

THE CASE STUDY TASKS AS A BASIS FOR THE FUND OF THE ASSESSMENT TOOLS AT THE MATHEMATICAL ANALYSIS FOR THE DIRECTION 01.03.02 APPLIED MATHEMATICS AND COMPUTER SCIENCE

Directory of Open Access Journals (Sweden)

Dina Aleksandrovna Kirillova

2015-12-01

Full Text Available The modern reform of the Russian higher education involves the implementation of competence-based approach, the main idea of which is the practical orientation of education. Mathematics is a universal language of description, modeling and studies of phenomena and processes of different nature. Therefore creating the fund of assessment tools for mathematical disciplines based on the applied problems is actual. The case method is the most appropriate mean of monitoring the learning outcomes, it is aimed at bridging the gap between theory and practice.The aim of the research is the development of methodical materials for the creating the fund of assessment tools that are based on the case-study for the mathematical analisis for direction «Applied Mathematics and Computer Science». The aim follows from the contradiction between the need for the introduction of case-method in the educational process in high school and the lack of study of the theoretical foundations of using of this method as applied to mathematical disciplines, insufficient theoretical basis and the description of the process of creating case-problems for use their in the monitoring of the learning outcomes.

Key Concept Mathematics and Management Science Models

Science.gov (United States)

Macbeth, Thomas G.; Dery, George C.

1973-01-01

The presentation of topics in calculus and matrix algebra to second semester freshmen along with a treatment of exponential and power functions would permit them to cope with a significant portion of the mathematical concepts that comprise the essence of several disciplines in a business school curriculum. (Author)

Comparing Emerging XML Based Formats from a Multi-discipline Perspective

Science.gov (United States)

Sawyer, D. M.; Reich, L. I.; Nikhinson, S.

2002-12-01

This paper analyzes the similarity and differences among several examples of an emerging generation of Scientific Data Formats that are based on XML technologies. Some of the factors evaluated include the goals of these efforts, the data models, and XML technologies used, and the maturity of currently available software. This paper then investigates the practicality of developing a single set of structural data objects and basic scientific concepts, such as units, that could be used across discipline boundaries and extended by disciplines and missions to create Scientific Data Formats for their communities. This analysis is partly based on an effort sponsored by the ESDIS office at GSFC to compare the Earth Science Markup Language (ESML) and the eXtensible Data Format( XDF), two members of this new generation of XML based Data Description Languages that have been developed by NASA funded efforts in recent years. This paper adds FITSML and potentially CDFML to the list of XML based Scientific Data Formats discussed. This paper draws heavily a Formats Evolution Process Committee (http://ssdoo.gsfc.nasa.gov/nost/fep/) draft white paper primarily developed by Lou Reich, Mike Folk and Don Sawyer to assist the Space Science community in understanding Scientific Data Formats. One of primary conclusions of that paper is that a scientific data format object model should be examined along two basic axes. The first is the complexity of the computer/mathematical data types supported and the second is the level of scientific domain specialization incorporated. This paper also discusses several of the issues that affect the decision on whether to implement a discipline or project specific Scientific Data Format as a formal extension of a general purpose Scientific Data Format or to implement the APIs independently.

Discipline in the Schools.

Science.gov (United States)

Eggleton, Travis

Discipline is a necessary ingredient for any successful school. Every teacher and school has a particular style and technique of discipline. This paper examines effective discipline strategies that help maintain school discipline. Classroom management, in school and out of school suspensions, alternative schooling, corporal punishment, and…

Teach the Mathematics of Mathematicians

Directory of Open Access Journals (Sweden)

Peter Taylor

2018-04-01

Full Text Available The secondary-school mathematics curriculum is narrow in scope and technical in character; this is quite different from the nature of the discipline itself. As a result, it offers little inspiration to both students and teachers, and provides students with poor preparation for university mathematics courses and indeed for life. Over the past century, recently more than ever, there have been calls for change, for a curriculum that is true to the subject of mathematics as the creation and study of patterns and structures. While there are hopeful responses to this at the elementary level, there is almost nothing at the secondary level. Ironically, it is felt that in order to prepare students for university calculus, the secondary curriculum simply has to be what it is. This is a special case of a myth that needs to be destroyed.

Computational statistics and biometry: which discipline drives which?

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Edler, Lutz

2005-06-01

Full Text Available A biometrician's work is defined through the biological or medical problem and the mathematical and statistical methods needed for its solution. This requires in most instances statistical data analysis and the use of methods of computational statistics. At first, it seems quite obvious that the computational needs of the biometric problem determine what has to be developed by the discipline of computational statistics. However, viewing the development of biometry and computational statistics in Germany for the past decades in more details reveals an interesting interaction between the activities of the German Region of the International Biometric Society and groups engaged in computational statistics within Germany. Exact methods of statistical inference and permutation tests, simulations and the use of the Bootstrap, and interactive graphical statistical methods are examples of this fruitful reciprocal benefit. This contribution examines therefore relationships between the historical development of biometry and computational statistics in Germany using as sources of information contributions to the scientific literature, presentations and sessions at scientific conferences on biometry and on computational statistics which influenced the development of both disciplines and exhibits a reciprocal dependency. The annual workshops organized on the Reisensburg now for more than 30 years are recognized as an outstanding factor of this interrelationship. This work aims at the definition of the present status of computational statistics in the German Region of the International Biometric Society and intends to guide and to foster the discussion of the future development of this discipline among biometricians.

Childhood discipline: challenges for clinicians and parents.

Science.gov (United States)

Banks, J Burton

2002-10-15

Although childhood discipline is an important issue for parents, this topic is seldom emphasized by family physicians during well-child examinations. Behavior problems are relatively common but frequently under-recognized by physicians. Opportunities to counsel parents about safe, effective methods of discipline are therefore missed. Discipline should be instructive and age-appropriate and should include positive reinforcement for good behavior. Punishment is only one aspect of discipline and, in order to be effective, it must be prompt, consistent, and fair. Time-out is frequently used to correct younger children, but because it is often enforced improperly, it loses its effectiveness. Corporal punishment is a controversial but common form of discipline that is less effective than some other types of punishment. Its use is linked to child and spouse abuse, as well as to future substance use, violent crime, poor self-esteem, and depression. Despite the possible negative effects of corporal punishment, it is still widely accepted in our society. Since discipline plays an important role in the social and emotional development of children, physicians should be trained to discuss this issue with parents during routine well-child examinations.

Gaining Modelling and Mathematical Experience by Constructing Virtual Sensory Systems in Maze-Videogames

Science.gov (United States)

Sacristán, Ana Isabel; Pretelín-Ricárdez, Angel

2017-01-01

This work is part of a research project that aims to enhance engineering students' learning of how to apply mathematics in modelling activities of real-world situations, through the construction (design and programming) of videogames. We want also for students to relate their mathematical knowledge with other disciplines (e.g., physics, computer…

New frontiers of multidisciplinary research in STEAM-H (science, technology, engineering, agriculture, mathematics, and health)

CERN Document Server

2014-01-01

This highly multidisciplinary volume contains contributions from leading researchers in STEAM-H disciplines (Science, Technology, Engineering, Agriculture, Mathematics and Health). The volume explores new frontiers in multidisciplinary research, including: the mathematics of cardiac arrhythmia; brain research on working memory; penalized ordinal regression to classify melanoma skin samples; forecasting of time series data; dynamics of niche models; analysis of chemical moieties as anticancer agents; study of gene locus control regions; qualitative mathematical modelling; convex quadrics and group circle systems; remanufacturing planning and control; complexity reduction of functional differential equations; computation of viscous interfacial motion; and differentiation in human pluripotent stem cells. An extension of a seminar series at Virginia State University, the collection is intended to foster student interest and participation in interdisciplinary research, and to stimulate new research. The content wi...

A Hybrid Model of Mathematics Support for Science Students Emphasizing Basic Skills and Discipline Relevance

Science.gov (United States)

Jackson, Deborah C.; Johnson, Elizabeth D.

2013-01-01

The problem of students entering university lacking basic mathematical skills is a critical issue in the Australian higher-education sector and relevant globally. The Maths Skills programme at La Trobe University has been developed to address under preparation in the first-year science cohort in the absence of an institutional mathematics support…

Deleuze and the history of mathematics in defence of the 'new'

CERN Document Server

Duffy, Simon

2013-01-01

Gilles Deleuze's engagements with mathematics, replete in his work, rely upon the construction of alternative lineages in the history of mathematics, which challenge some of the self imposed limits that regulate the canonical concepts of the discipline. For Deleuze, these challenges are an opportunity to reconfigure particular philosophical problems - for example, the problem of individuation - and to develop new concepts in response to them. The highly original research presented in this book explores the mathematical construction of Deleuze's philosophy, as well as addressing the undervalued

Toward a general ontology for digital forensic disciplines.

Science.gov (United States)

Karie, Nickson M; Venter, Hein S

2014-09-01

Ontologies are widely used in different disciplines as a technique for representing and reasoning about domain knowledge. However, despite the widespread ontology-related research activities and applications in different disciplines, the development of ontologies and ontology research activities is still wanting in digital forensics. This paper therefore presents the case for establishing an ontology for digital forensic disciplines. Such an ontology would enable better categorization of the digital forensic disciplines, as well as assist in the development of methodologies and specifications that can offer direction in different areas of digital forensics. This includes such areas as professional specialization, certifications, development of digital forensic tools, curricula, and educational materials. In addition, the ontology presented in this paper can be used, for example, to better organize the digital forensic domain knowledge and explicitly describe the discipline's semantics in a common way. Finally, this paper is meant to spark discussions and further research on an internationally agreed ontological distinction of the digital forensic disciplines. Digital forensic disciplines ontology is a novel approach toward organizing the digital forensic domain knowledge and constitutes the main contribution of this paper. © 2014 American Academy of Forensic Sciences.

IMPROVING TEACHING MATHEMATICS USING MODERN INFORMATION TECHNOLOGIES IN FORMATION MATHEMATICAL COMPETENCE REQUIRED FUTURE SKIPPERS.

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Elena Gudyreva

2015-10-01

Full Text Available The article is devoted to consideration of issues related to identifying the potential for teaching mathematics using network (Internet technology and the introduction of elements of distance learning into educational process of higher educational establishments of the sea profile, as well as achievement of formation of mathematical competence of students of the University generally, and of the University's Maritime profile, in particular. Based on the analysis of psychological and pedagogical literature highlights the factors that influence the increase of efficiency of independent work of students of higher educational institutions and on the formation of steady skills of self-education that ultimately leads to quality of formation of mathematical competence of a student. Specific features of teaching mathematics at the University of the sea profile. The description of the project (complex sites "KSMA. Higher mathematics navigators", who developed and used in the Kherson state Maritime Academy in the teaching of mathematics and the organization of individual techniques of distance learning, shows the simplicity and accessibility of working with complex sites, as well as the simplicity and accessibility of design "personal website", but in fact complex sites, by a teacher of any discipline of higher education. Shown, also a training process with the use of the project "KSMA. Higher mathematics navigators", analyzes the experience of teaching the course "Higher mathematics" in a higher educational institution of the marine profile with the use of a personal website, a teacher and shown positive results in students mastery of basic mathematical competencies.

Professional Development Strategically Connecting Mathematics and Science: The Impact on Teachers' Confidence and Practice

Science.gov (United States)

Baxter, Juliet A.; Ruzicka, Angie; Beghetto, Ronald A.; Livelybrooks, Dean

2014-01-01

The press to integrate mathematics and science comes from researchers, business leaders, and educators, yet research that examines ways to support teachers in relating these disciplines is scant. Using research on science and mathematics professional development, we designed a professional development project to help elementary teachers improve…

MATHEMATICAL PROBLEMS OF INTEGRATIVE CONTENTS

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V. Kushnir

2014-09-01

Full Text Available The tasks of integrative content requires the use of knowledge and skills on various themes both one discipline and different disciplines. Mostly in the classroom (or in homework the tasks on the properties absorption of different concepts using different theories are considered. Thus knowledge within only one discipline is formed, knowledge of the narrow sense (one subject. Such knowledge is "prescriptional", we call it idealized. After all, it is far from models of the real professional problems and problems of life in general, in order to solve them it is necessary to apply knowledge and skills acquired in different themes of the same objects,life experience. Practical formation of integrative knowledge requires statement of the educational problems before the subjects of studying, the problems within the "narrow objectivity" can not be resolved at all, or such kind of solving is too difficult to solve, for example, the nature and the context of solving problems (scientific approaches to solving problems, creating mathematical models, methods for solving such models, means of solving, application of methods, analysis of the models solution and the right choice, the inspection of solutions, etc. will sink in the conglomeration of technical operations. The problems with integrative content are usually more complicated than the problems of "narrow objectivity." In our problems the index of such difficulty is the essence of educational content, which is disclosed in the previous paragraph. The problems solution proposed in this article requires knowledge of the structural geometry (circle construction, touching two or three laps: with analytic geometry (method of coordinates on the plane; the distance between two points on the coordinate plane; algebra (system drawing irrational equations, method for solving such system, the solution of the system, analysis of the results and the right choose of the desired solution for found criterion, testing

Three views of logic mathematics, philosophy, and computer science

CERN Document Server

Loveland, Donald W; Sterrett, S G

2014-01-01

Demonstrating the different roles that logic plays in the disciplines of computer science, mathematics, and philosophy, this concise undergraduate textbook covers select topics from three different areas of logic: proof theory, computability theory, and nonclassical logic. The book balances accessibility, breadth, and rigor, and is designed so that its materials will fit into a single semester. Its distinctive presentation of traditional logic material will enhance readers' capabilities and mathematical maturity. The proof theory portion presents classical propositional logic and first-orde

Enhancing Student Engagement to Positively Impact Mathematics Anxiety, Confidence and Achievement for Interdisciplinary Science Subjects

Science.gov (United States)

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…

How can study and research paths contribute to the teaching of mathematics in an interdisciplinary settings?

DEFF Research Database (Denmark)

Jessen, Britta Eyrich

2014-01-01

I present the design and realisation of a SRP combining mathematics and biology. The results point to advantages of the SRP approach in terms of the way bidisciplinary work is organised, but also challenges in relation to the design process. As for the last point, the test of the designs raises...... the question to what degree of detail is it necessary to know the practice and theory of both disciplines in order to formulate questions that help students to develop the intended praxeologies, and also for the weak students to discover the need of mathematics for solving problems in other disciplines....

Infusing Sustainability Across Disciplines to Build Student Engagement

Science.gov (United States)

Bruckner, M. Z.; O'Connell, K.; McDaris, J. R.; Kirk, K. B.; Larsen, K.; Kent, M.; Manduca, C. A.; Egger, A. E.; Blockstein, D.; Mogk, D. W.; Taber, J.

2014-12-01

Establishing relevance and effective communication are key mechanisms for building student and community engagement in a topic and can be used to promote the importance of working across disciplines to solve problems. Sustainability, including the impacts of and responses to climate change, is an inherently interdisciplinary issue and can be infused across courses and curricula in a variety of ways. Key topics such as climate change, hazards, and food, water, and energy production and sustainability are relevant to a wide audience and can be used to build student engagement. Using real-world examples, service learning, and focusing on the local environment may further boost engagement by establishing relevance between sustainability issues and students' lives. Communication plays a key role in the exchange of information across disciplines and allows for a more holistic approach to tackling the complex climate and sustainability issues our society faces. It has the power to bridge gaps, break down disciplinary silos, and build connections among diverse audiences with a wide range of expertise, including scientists, policy-makers, stakeholders, and the general public. It also aids in planning and preparation for, response to, and mitigation of issues related to sustainability, including the impacts of climate change, to lessen the detrimental effects of unavoidable events such as sea level rise and extreme weather events. Several workshops from the InTeGrate and On the Cutting Edge projects brought together educators and practitioners from a range of disciplines including geoscience, engineering, social science, and more to encourage communication and collaboration across disciplines. They supported networking, community-building, and sharing of best practices for preparing our students for a sustainable future, both in and out of the workplace, and across disciplines. Interdisciplinary teams are also working together to author curricular materials that highlight

A Voyage of Mathematical and Cultural Awareness for Students of Upper Secondary School

Science.gov (United States)

Panagiotou, Evangelos N.

2014-01-01

Many papers have emphasized the need for and importance of particular examples and the underlying rationale for introducing a historical dimension in mathematics education. This article presents the development and implementation of a project, based on original sources, in a situation where the existing curriculum does not include history. The subject was conic sections and the motivating problems and original work which eventually found resolution in modern concepts. The project was carried out during the school year 2006-2007 with 18 students of a Greek experimental high school 2nd class (11th degree). It was devised as a series of worksheets, separate readings and oral presentations and written essays so that students might appreciate that mathematics evolves under the influence of factors intrinsic and extrinsic to it. Both epistemological and disciplinary issues are taken into account. Even though this work is just one case study, we have found that exposing students directly to primary sources in mathematics contributes greatly to motivation and understanding, and illustrates the nature of mathematics as a discipline and as a human endeavour.

Foundations in Science and Mathematics Program for Middle School and High School Students

Science.gov (United States)

Desai, Karna Mahadev; Yang, Jing; Hemann, Jason

2016-01-01

The Foundations in Science and Mathematics (FSM) is a graduate student led summer program designed to help middle school and high school students strengthen their knowledge and skills in mathematics and science. FSM provides two-week-long courses over a broad spectrum of disciplines including astronomy, biology, chemistry, computer programming, geology, mathematics, and physics. Students can chose two types of courses: (1) courses that help students learn the fundamental concepts in basic sciences and mathematics (e.g., "Precalculus"); and (2) knowledge courses that might be excluded from formal schooling (e.g., "Introduction to Universe"). FSM has served over 500 students in the Bloomington, IN, community over six years by acquiring funding from Indiana University and the Indiana Space Grant Consortium. FSM offers graduate students the opportunity to obtain first hand experience through independent teaching and curriculum design as well as leadership experience.We present the design of the program, review the achievements, and explore the challenges we face. We are open to collaboration with similar educational outreach programs. For more information, please visit http://www.indiana.edu/~fsm/ .

Charter Schools, Civil Rights and School Discipline: A Comprehensive Review

Science.gov (United States)

Losen, Daniel J.; Keith, Michael A., II; Hodson, Cheri L.; Martinez, Tia E.

2016-01-01

This report, along with the companion spreadsheet, provides the first comprehensive description ever compiled of charter school discipline. In 2011-12, every one of the nation's 95,000 public schools was required to report its school discipline data, including charter schools. This analysis, which includes more than 5,250 charter schools, focuses…

Mathematization in introductory physics

Science.gov (United States)

Brahmia, Suzanne M.

Mathematization is central to STEM disciplines as a cornerstone of the quantitative reasoning that characterizes these fields. Introductory physics is required for most STEM majors in part so that students develop expert-like mathematization. This dissertation describes coordinated research and curriculum development for strengthening mathematization in introductory physics; it blends scholarship in physics and mathematics education in the form of three papers. The first paper explores mathematization in the context of physics, and makes an original contribution to the measurement of physics students' struggle to mathematize. Instructors naturally assume students have a conceptual mastery of algebra before embarking on a college physics course because these students are enrolled in math courses beyond algebra. This paper provides evidence that refutes the validity of this assumption and categorizes some of the barriers students commonly encounter with quantification and representing ideas symbolically. The second paper develops a model of instruction that can help students progress from their starting points to their instructor's desired endpoints. Instructors recognize that the introductory physics course introduces new ideas at an astonishing rate. More than most physicists realize, however, the way that mathematics is used in the course is foreign to a large portion of class. This paper puts forth an instructional model that can move all students toward better quantitative and physical reasoning, despite the substantial variability of those students' initial states. The third paper describes the design and testing of curricular materials that foster mathematical creativity to prepare students to better understand physics reasoning. Few students enter introductory physics with experience generating equations in response to specific challenges involving unfamiliar quantities and units, yet this generative use of mathematics is typical of the thinking involved in

Introduction to mathematical systems theory a behavioral approach

CERN Document Server

Polderman, Jan Willem

1998-01-01

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modem as well as the classical techniques of applied mathematics. This renewal of interest,both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The developmentof new courses is a natural consequenceof a high level of excite­ ment on the research frontier as newer techniques, such as numerical and symbolic computersystems,dynamicalsystems,and chaos, mix with and reinforce the tradi­ tional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbookssuitable for use in advancedundergraduate and begin­ ning graduate courses, and will complement the Applied Mathematical Seiences (AMS) series, which will focus on advanced tex...

The construction of new mathematical knowledge in classroom interaction an epistemological perspective

CERN Document Server

Steinbring, Heinz

2005-01-01

Mathematics is generally considered as the only science where knowledge is uni­ form, universal, and free from contradictions. „Mathematics is a social product - a 'net of norms', as Wittgenstein writes. In contrast to other institutions - traffic rules, legal systems or table manners -, which are often internally contradictory and are hardly ever unrestrictedly accepted, mathematics is distinguished by coherence and consensus. Although mathematics is presumably the discipline, which is the most differentiated internally, the corpus of mathematical knowledge constitutes a coher­ ent whole. The consistency of mathematics cannot be proved, yet, so far, no contra­ dictions were found that would question the uniformity of mathematics" (Heintz, 2000, p. 11). The coherence of mathematical knowledge is closely related to the kind of pro­ fessional communication that research mathematicians hold about mathematical knowledge. In an extensive study, Bettina Heintz (Heintz 2000) proposed that the historical develo...

Social and emotional adjustment of adolescents extremely talented in verbal or mathematical reasoning.

Science.gov (United States)

Brody, L E; Benbow, C P

1986-02-01

Perceptions of self-esteem, locus of control, popularity, depression (or unhappiness), and discipline problems as indices of social and emotional adjustment were investigated in highly verbally or mathematically talented adolescents. Compared to a group of students who are much less gifted, the highly gifted students perceive themselves as less popular, but no differences were found in self-esteem, depression, or the incidence of discipline problems. The gifted students reported greater internal locus of control. Comparisons between the highly mathematically talented students and the highly verbally talented students suggested that the students in the latter group perceive themselves as less popular. Within both the gifted and comparison groups, there were also slight indications that higher verbal ability may be related to some social and emotional problems.

Beneath the Numbers: A Review of Gender Disparities in Undergraduate Education across Science, Technology, Engineering, and Math Disciplines

Science.gov (United States)

Eddy, Sarah L.; Brownell, Sara E.

2016-01-01

This focused collection explores inequalities in the experiences of women in physics. Yet, it is important for researchers to also be aware of and draw insights from common patterns in the experiences of women across science, technology, engineering and mathematics (STEM) disciplines. Here, we review studies on gender disparities across college…

Control Engineering, System Theory and Mathematics: The Teacher's Challenge

Science.gov (United States)

Zenger, K.

2007-01-01

The principles, difficulties and challenges in control education are discussed and compared to the similar problems in the teaching of mathematics and systems science in general. The difficulties of today's students to appreciate the classical teaching of engineering disciplines, which are based on rigorous and scientifically sound grounds, are…

Mathematical modelling and numerical simulation of oil pollution problems

CERN Document Server

2015-01-01

Written by outstanding experts in the fields of marine engineering, atmospheric physics and chemistry, fluid dynamics and applied mathematics, the contributions in this book cover a wide range of subjects, from pure mathematics to real-world applications in the oil spill engineering business. Offering a truly interdisciplinary approach, the authors present both mathematical models and state-of-the-art numerical methods for adequately solving the partial differential equations involved, as well as highly practical experiments involving actual cases of ocean oil pollution. It is indispensable that different disciplines of mathematics, like analysis and numerics,  together with physics, biology, fluid dynamics, environmental engineering and marine science, join forces to solve today’s oil pollution problems.   The book will be of great interest to researchers and graduate students in the environmental sciences, mathematics and physics, showing the broad range of techniques needed in order to solve these poll...

Mathematical and computational modeling with applications in natural and social sciences, engineering, and the arts

CERN Document Server

Melnik, Roderick

2015-01-01

Illustrates the application of mathematical and computational modeling in a variety of disciplines With an emphasis on the interdisciplinary nature of mathematical and computational modeling, Mathematical and Computational Modeling: With Applications in the Natural and Social Sciences, Engineering, and the Arts features chapters written by well-known, international experts in these fields and presents readers with a host of state-of-the-art achievements in the development of mathematical modeling and computational experiment methodology. The book is a valuable guide to the methods, ideas,

Pluri-Disciplinary; Against the Common Perception of Collaboration Among Disciplines

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B. Shabani Varaki

2015-02-01

Full Text Available There are numerous kinds of definitions and discourses of conceptualization for the collaboration among disciplines. Examining a wide range of the related texts represents various, divergent and also contradictory discourses back to this up. Carefully and critically examining the common perception of collaboration among disciplines, in this paper, authors introduce an alternative so-called pluridisciplinary.rn rnAnd, it is argued that pluri-disciplinary could be considered as an umbrella term for all other modes of collaboration among disciplines including multidisciplinary, interdisciplinary, and transdiciplinary. It is also contended that unlike the conventional perception of collaborations between disciplines, epistemological and instrument rationales need to be seen as a continuous integration, so such a holistic approach will lead to a new so-called discipline; transdiciplinary. It is also articulated that there is a hierarchical relationship between disciplines in the alternative. In this paper, simple knowledge in pluridisciplinary studies will be replaced by super-complex knowledge, so called; trans-disciplinary, as a new-fashioned discipline, emerges.

Analyzing Similarity in Mathematical Content To Enhance the Detection of Academic Plagiarism

OpenAIRE

Isele, Maurice-Roman

2018-01-01

Despite the effort put into the detection of academic plagiarism, it continues to be a ubiquitous problem spanning all disciplines. Various tools have been developed to assist human inspectors by automatically identifying suspicious documents. However, to our knowledge currently none of these tools use mathematical content for their analysis. This is problematic, because mathematical content potentially represents a significant amount of the scientific contribution in academic documents. Henc...

COMPUTER MATHEMATICS SYSTEMS IN STUDENTS’ LEARNING OF "INFORMATIСS"

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Taras P. Kobylnyk

2014-04-01

Full Text Available The article describes the general characteristics of the most popular computer mathematics systems such as commercial (Maple, Mathematica, Matlab and open source (Scilab, Maxima, GRAN, Sage, as well as the conditions of use of these systems as means of fundamentalization of the educational process of bachelor of informatics. It is considered the role of CMS in bachelor of informatics training. It is identified the approaches of CMS pedagogical use while learning information and physics and mathematics disciplines. There are presented some tasks, in which we must carefully use the «responses» have been received using CMS. It is identified the promising directions of development of computer mathematics systems in high-tech environment.

Self Discipline: The Only Form of Discipline Acquisition for Children

Science.gov (United States)

Renard, Rosamunde

2003-01-01

Piaget noted that "punishment renders the autonomy of conscience impossible". Yet in the Caribbean, most common folk believe that beating is an indispensable part of discipline. To understand the role that discipline or the connotations of that word play in the society, culture, economy and politics of Saint Lucia, it is indispensable to…

A Look At Discipline

OpenAIRE

Telep, Valya Goodwin, 1955-

2009-01-01

This series of lessons was prepared for parents like you - parents who want to do a better job of disciplining their children. The lessons were especially written for parents of preschool children, ages two to six, but some of the discipline methods are appropriate for older children, too. This lesson focuses on a general overview of discipline.

Interdisciplinary education - a predator-prey model for developing a skill set in mathematics, biology and technology

Science.gov (United States)

van der Hoff, Quay

2017-08-01

The science of biology has been transforming dramatically and so the need for a stronger mathematical background for biology students has increased. Biological students reaching the senior or post-graduate level often come to realize that their mathematical background is insufficient. Similarly, students in a mathematics programme, interested in biological phenomena, find it difficult to master the complex systems encountered in biology. In short, the biologists do not have enough mathematics and the mathematicians are not being taught enough biology. The need for interdisciplinary curricula that includes disciplines such as biology, physical science, and mathematics is widely recognized, but has not been widely implemented. In this paper, it is suggested that students develop a skill set of ecology, mathematics and technology to encourage working across disciplinary boundaries. To illustrate such a skill set, a predator-prey model that contains self-limiting factors for both predator and prey is suggested. The general idea of dynamics, is introduced and students are encouraged to discover the applicability of this approach to more complex biological systems. The level of mathematics and technology required is not advanced; therefore, it is ideal for inclusion in a senior-level or introductory graduate-level course for students interested in mathematical biology.

Advanced theoretical and experimental studies in automatic control and information systems. [including mathematical programming and game theory

Science.gov (United States)

Desoer, C. A.; Polak, E.; Zadeh, L. A.

1974-01-01

A series of research projects is briefly summarized which includes investigations in the following areas: (1) mathematical programming problems for large system and infinite-dimensional spaces, (2) bounded-input bounded-output stability, (3) non-parametric approximations, and (4) differential games. A list of reports and papers which were published over the ten year period of research is included.

The `M' in SMEC: a short history of the mathematics education presence

Science.gov (United States)

Malone, John A.

2011-09-01

In this paper I examine the history of the integration of mathematics education into the Science Education Centre, which had been established by physicist, John de Laeter, within the School of Science and Engineering at Curtin University in Perth, Australia. De Laeter's vision for science education was that teachers should have access to professional education that allowed them to extend their discipline and pedagogical knowledge using strategies that brought together theory and practice in ways that were meaningful for teachers. This model was expanded when mathematics education was also included, paving the way also for technology education. I present the history of this integration laying out the themes that are important for the continued educational effectiveness of the Science and Mathematics Education Centre (SMEC) and the role that mathematics education has played in this process. As the title suggests, this article focuses on the activities of the group of mathematics educators who have worked within the Science and Mathematics Education Centre of Curtin University since it was established 30 or so years ago and who have contributed to its reputation. The two streams operated then and now more-or-less independently in matters of student thesis topic choice but offered students opportunities for interaction that might not have been available if the "M" had not been incorporated into the Science Education Centre (SEC). This article's focus is on the mathematics educators who contributed to the Centre's success and reputation, highlighting the synergistic relationship between mathematics and science that helped to make SMEC a leading center for mathematics and science education.

Can an ethical work climate influence payment discipline?

Directory of Open Access Journals (Sweden)

Tanja Salamon

2016-02-01

Full Text Available Purpose: All European companies are faced with the lack of payment discipline, which often affects even their survival. One of the key reasons for the lack of payment discipline is poor business ethics, which is primarily introduced with the subject of ethical climate in the literature. For this reason, we wanted to determine whether a company's ethical climate influences its payment discipline.Design/methodology/approach: In the research, we used Arnaud's measurement instrument (2010 that helped us to identify six dimensions of ethical climate. The data about a company’s ethical climate were later compared with the data about its payment discipline, calculated using the Dun & Bradstreet rating agency methodology. We included in the sample 273 Slovenian companies, which represented 9.1% of all companies invited to take part in the survey (2978 Slovenian enterprises with 10 or more employees.Findings: We established that (among the six dimensions of the ethical climate the dimension “moral sensitivity – the lack of norms of empathetic concern” had statistically significant influence on the average delay of payment, and the more significant for the company the lack of norms of empathetic concern was, the longer the delay of the payment to suppliers would be. Our conclusion is that the appropriate forms of the incorporation of training and education on ethical subjects into business studies may increase the payment discipline of companies.Originality/value: The present study represents an important contribution to understanding the causes of payment defaults. The study also includes non-financial antecedents of payment discipline, which represents a new, important contribution of the research.

Can an ethical work climate influence payment discipline?

Energy Technology Data Exchange (ETDEWEB)

Salamon, T.; Mesko, M.

2016-07-01

Purpose: All European companies are faced with the lack of payment discipline, which often affects even their survival. One of the key reasons for the lack of payment discipline is poor business ethics, which is primarily introduced with the subject of ethical climate in the literature. For this reason, we wanted to determine whether a company’s ethical climate influences its payment discipline. Design/methodology/approach: In the research, we used Arnaud’s measurement instrument (2010) that helped us to identify six dimensions of ethical climate. The data about a company’s ethical climate were later compared with the data about its payment discipline, calculated using the Dun & Bradstreet rating agency methodology. We included in the sample 273 Slovenian companies, which represented 9.1% of all companies invited to take part in the survey (2978 Slovenian enterprises with 10 or more employees). Findings: We established that (among the six dimensions of the ethical climate) the dimension “moral sensitivity – the lack of norms of empathetic concern” had statistically significant influence on the average delay of payment, and the more significant for the company the lack of norms of empathetic concern was, the longer the delay of the payment to suppliers would be. Our conclusion is that the appropriate forms of the incorporation of training and education on ethical subjects into business studies may increase the payment discipline of companies. Originality/value: The present study represents an important contribution to understanding the causes of payment defaults. The study also includes non-financial antecedents of payment discipline, which represents a new, important contribution of the research. (Author)

A new direction in mathematics for materials science

CERN Document Server

Ikeda, Susumu

2015-01-01

This book is the first volume of the SpringerBriefs in the Mathematics of Materials and provides a comprehensive guide to the interaction of mathematics with materials science. The anterior part of the book describes a selected history of materials science as well as the interaction between mathematics and materials in history. The emergence of materials science was itself a result of an interdisciplinary movement in the 1950s and 1960s. Materials science was formed by the integration of metallurgy, polymer science, ceramics, solid state physics, and related disciplines. We believe that such historical background helps readers to understand the importance of interdisciplinary interaction such as mathematics–materials science collaboration. The middle part of the book describes mathematical ideas and methods that can be applied to materials problems and introduces some examples of specific studies—for example, computational homology applied to structural analysis of glassy materials, stochastic models for ...

Integrating HIV & AIDS education in pre-service mathematics education for social justice

Directory of Open Access Journals (Sweden)

Linda van Laren

2011-01-01

Full Text Available Since 1999, many South African education policy documents have mandated integration of HIV & AIDS education in learning areas/disciplines. Policy document research has shown that although South African politicians and managers have produced volumes of eloquent and compelling legislation regarding provision for HIV & AIDS education, little of this is translated into action. The impact of HIV & AIDS permeates the social, economic and political arenas in South Africa. Integration of HIV & AIDS education across disciplines can serve as a strategy to further the ideals of social justice. This paper focuses on how integration in the teaching and learning of Mathematics Education provides opportunities to take action for social justice. The inquiry explores the following question: How can the myth that there is 'nothing we can do' about HIV & AIDS, which is linked to social justice issues, be addressed through integration of HIV & AIDS education in Mathematics pre-service teacher education? Drawing on self-study, the work of a Mathematics teacher educator who worked with pre-service teachers to integrate HIV & AIDS education at a higher education institution is described. By considering integration of HIV & AIDS education in Mathematics Education and taking action it is possible to develop strategies which directly relate to social justice.

Disciplined by the discipline: a social-epistemic fingerprint of the history of science.

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Vanderstraeten, Raf; Vandermoere, Frederic

2015-06-01

The scientific system is primarily differentiated into disciplines. While disciplines may be wide in scope and diverse in their research practices, they serve scientific communities that evaluate research and also grant recognition to what is published. The analysis of communication and publication practices within such a community hence allows us to shed light on the dynamics of this discipline. On the basis of an empirical analysis of Isis, we show how the process of discipline-building in history of science has led its practitioners to be socialized and sensitized in relatively strong intra-disciplinary terms--with minimal interdisciplinary openness.

Doing Mathematics with Purpose: Mathematical Text Types

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Dostal, Hannah M.; Robinson, Richard

2018-01-01

Mathematical literacy includes learning to read and write different types of mathematical texts as part of purposeful mathematical meaning making. Thus in this article, we describe how learning to read and write mathematical texts (proof text, algorithmic text, algebraic/symbolic text, and visual text) supports the development of students'…

Mathematics, the Computer, and the Impact on Mathematics Education.

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Tooke, D. James

2001-01-01

Discusses the connection between mathematics and the computer; mathematics curriculum; mathematics instruction, including teachers learning to use computers; and the impact of the computer on learning mathematics. (LRW)

Trajectories of Mathematics and Technology Education Pointing to Engineering Design

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Daugherty, Jenny L.; Reese, George C.; Merrill, Chris

2010-01-01

A brief examination and comparison of mathematics and technology education provides the background for a discussion of integration. In particular, members of each field have responded to the increasing pressures to better prepare students for the technologically rich, globally competitive future. Approaches based within each discipline are varied…

A Multi-Institutional Project to Develop Discipline-Specific Data Literacy Instruction for Graduate Students

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Wright, S. J.; Fosmire, M.; Jeffryes, J.; Stowell Bracke, M.; Westra, B.

2012-12-01

What data stewardship skills are needed by future scientists to fulfill their professional responsibilities and take advantage of opportunities in e-science? How can academic librarians contribute their expertise in information organization, dissemination and preservation to better serve modern science? With support from the Institute of Museum and Library Services (IMLS), four research libraries have formed a partnership to address these questions. The aims of the partnership are to identify the data stewardship skills, including data management and curation, needed by graduate students at the research discipline level, to identify trends that extend across the Science, Technology, Engineering, and Mathematics (STEM) disciplines, and to collaborate with faculty to develop and implement "data information literacy" (DIL) curricula to address those needs. Over the course of the first year, the authors have been working closely with faculty in hydrology, civil engineering, ecology/environmental science, and natural resources. At the outset, we performed structured interviews with faculty and graduate students using a modified version of the Data Curation Profiles Toolkit (http://datacurationprofiles.org) to gather detailed information about the practices, limitations, needs, and opportunities for improving data management and curation practices in each group. Project teams also conducted discipline-based literature reviews and environmental scans of the available resources pertaining to data management and curation issues to identify how (or if) these topics are currently addressed by the discipline. The results were used to develop and implement specific instructional interventions attuned to the needs of each research group. We will share the results of our interviews and information-gathering, summarizing similarities and differences in the data stewardship needs expressed by the graduate students and faculty from different STEM disciplines. We will also discuss

Interactions Between Mathematics and Physics: The History of the Concept of Function—Teaching with and About Nature of Mathematics

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Kjeldsen, Tinne Hoff; Lützen, Jesper

2015-07-01

In this paper, we discuss the history of the concept of function and emphasize in particular how problems in physics have led to essential changes in its definition and application in mathematical practices. Euler defined a function as an analytic expression, whereas Dirichlet defined it as a variable that depends in an arbitrary manner on another variable. The change was required when mathematicians discovered that analytic expressions were not sufficient to represent physical phenomena such as the vibration of a string (Euler) and heat conduction (Fourier and Dirichlet). The introduction of generalized functions or distributions is shown to stem partly from the development of new theories of physics such as electrical engineering and quantum mechanics that led to the use of improper functions such as the delta function that demanded a proper foundation. We argue that the development of student understanding of mathematics and its nature is enhanced by embedding mathematical concepts and theories, within an explicit-reflective framework, into a rich historical context emphasizing its interaction with other disciplines such as physics. Students recognize and become engaged with meta-discursive rules governing mathematics. Mathematics teachers can thereby teach inquiry in mathematics as it occurs in the sciences, as mathematical practice aimed at obtaining new mathematical knowledge. We illustrate such a historical teaching and learning of mathematics within an explicit and reflective framework by two examples of student-directed, problem-oriented project work following the Roskilde Model, in which the connection to physics is explicit and provides a learning space where the nature of mathematics and mathematical practices are linked to natural science.

INFORMATIVE SYSTEM OF EDUCATIONAL PURPOSE FROM MATHEMATICS AS A WAY OF PROFESSIONAL ORIENTATION OF TEACHING STUDENTS IT SPECIALTIES

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Lyudmyla Shishko

2016-01-01

Full Text Available The current state of formation of mathematical knowledge in universities insufficiently focused on their further use in professional activities. Students not formed the ability to apply mathematical knowledge to study general professional and special disciplines. In this article: –\tconsidered features of formation of a professional orientation of teaching mathematics using structured content multimedia information system for educational purposes (MISEP; –\tfound psychologo-pedagogical features of teaching mathematics of students IT specialties; –\tconsidered methodical aspects of MISEP in teaching the course "Discrete Mathematics" for students of IT specialties

The Rationality Debate: Application of Cognitive Psychology to Mathematics Education

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Leron, Uri; Hazzan, Orit

2006-01-01

Research in mathematics education usually attempts to look into students' learning and other mental processes. It could therefore be expected to build on knowledge acquired within the academic discipline of cognitive psychology. Our aim in this paper is to show how some recent developments in cognitive psychology can help interpret empirical…

ICT Integration Level of Mathematics Tutors of Colleges of Education ...

African Journals Online (AJOL)

ICT Integration Level of Mathematics Tutors of Colleges of Education in Ghana. ... International Journal of Pedagogy, Policy and ICT in Education ... The study used a developmental research design which is a disciplined inquiry conducted in the context of the development of a product or programme for the purpose of ...

The zone of proximal development in the learning of mathematics ...

African Journals Online (AJOL)

South Africa has a huge shortage of skilled workers in various fields such as engineering, applied sciences, accountancy, architecture, medicine and law. Mathematics is a requirement for entry in these careers to enable learners to grasp the content of various subjects in these disciplines. Despite that, in South Africa, ...

Physics, Computer Science and Mathematics Division. Annual report, 1 January--31 December 1977

International Nuclear Information System (INIS)

Lepore, J.V.

1977-01-01

This annual report of the Physics, Computer Science and Mathematics Division describes the scientific research and other work carried out within the Division during 1977. The Division is concerned with work in experimental and theoretical physics, with computer science and applied mathematics, and with the operation of a computer center. The major physics research activity is in high-energy physics, although there is a relatively small program of medium-energy research. The High Energy Physics research program in the Physics Division is concerned with fundamental research which will enable man to comprehend the nature of the physical world. The major effort is now directed toward experiments with positron-electron colliding beam at PEP. The Medium Energy Physics program is concerned with research using mesons and nucleons to probe the properties of matter. This research is concerned with the study of nuclear structure, nuclear reactions, and the interactions between nuclei and electromagnetic radiation and mesons. The Computer Science and Applied Mathematics Department engages in research in a variety of computer science and mathematics disciplines. Work in computer science and applied mathematics includes construction of data bases, computer graphics, computational physics and data analysis, mathematical modeling, and mathematical analysis of differential and integral equations resulting from physical problems. The Computer Center provides large-scale computational support to LBL's scientific programs. Descriptions of the various activities are quite short; references to published results are given. 24 figures

Hidden Dimensions in the So-Called Reality of a Mathematics Classroom.

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Bauersfeld, Heinrich

1980-01-01

Teaching and learning mathematics in classrooms is interpreted as human interaction in an institutionalized setting. Using theories and categories from different disciplines, a classroom episode is reanalyzed. Four hidden dimensions in the classroom process and thus deficient areas of research are identified. Consequences for teacher training are…

Mathematical Intelligence and Mathematical Creativity: A Causal Relationship

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Tyagi, Tarun Kumar

2017-01-01

This study investigated the causal relationship between mathematical creativity and mathematical intelligence. Four hundred thirty-nine 8th-grade students, age ranged from 11 to 14 years, were included in the sample of this study by random cluster technique on which mathematical creativity and Hindi adaptation of mathematical intelligence test…

Learning mathematics in students of Mechanical Engineering

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Raquel Ramírez-Pedroso

2016-07-01

Full Text Available Mathematical discipline contributes to the development of logical and algorithmic thinking and provides the basics of a specialist in Technical Sciences, as every engineer considers technical and scientific representations in mathematical terms, with which reflects the quantitative and qualitative features of the phenomena studied . His goal is to make the engineer master the mathematical apparatus to do so able to model and analyze the technical, economic, productive and scientific processes using both, analytical methods and numerical. Interdisciplinarity is a current educational trend that puts in the center the comprehensive treatment of the complex processes of reality from the contribution of different disciplines and meet common objectives. It is necessary to address the issue of interdisciplinarity, from different points of view. Normal 0 21 false false false ES X-NONE X-NONE /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Tabla normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin-top:0cm; mso-para-margin-right:0cm; mso-para-margin-bottom:10.0pt; mso-para-margin-left:0cm; line-height:115%; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri","sans-serif"; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;}

Evaluation of the Discipline Helpline.

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Fine, Andrea

The National Center for the Study of Corporal Punishment and Alternatives in the Schools, established the Discipline Helpline to guide parents in handling specific discipline problems. To evaluate the telephone counseling service, 63 persons who had contacted the Helpline for assistance with specific discipline problems completed the Helpline…

Making Visible and Acting on Issues of Racism and Racialization in School Mathematics

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Jhonel A. Morvan

2017-12-01

Full Text Available Schools, as social systems, may knowingly or unintentionally perpetuate inequities through unchallenged oppressive systems. This paper focuses on mathematics as a subject area in school practices in which inequities seem to be considered normal. Issues of racism and racialization in the discipline of mathematics are predominantly lived through the practice of streaming where students are enrolled in courses of different levels of difficulty. Such practice denies marginalized groups of students the full benefit of rich learning experiences. These issues should be of concern for activists, advocates, and allies as well as individuals and groups who are systematically and directly affected. The purpose of this paper is to make visible issues of racism and racialization in school mathematics to a range of stakeholders that include: school administrators, teachers, students, parents, education advocates, academics, educational researchers, and politicians. The ultimate goal is that the knowledge gained through this call to action will contribute toward eliminating social injustice in all school systems, particularly as it relates to skin colour, country of origin, culture, language, customs, and religion.

The Zone of Proximal Development in the Learning of Mathematics

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Siyepu, Sibawu

2013-01-01

South Africa has a huge shortage of skilled workers in various fields such as engineering, applied sciences, accountancy, architecture, medicine and law. Mathematics is a requirement for entry in these careers to enable learners to grasp the content of various subjects in these disciplines. Despite that, in South Africa, learners' performance in…

[National Academies' Board on Mathematical Sciences and their Application] Final technical report

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Scott T. Weidman

2005-01-11

The National Academies' Board on Mathematical Sciences and their Applications (BMSA) is a primary interface between the research enterprise and federal agencies that rely on the mathematical sciences. The Board provides objective and authoritative advice on how best to apply the tools of mathematics, statistics, operations research, financial engineering, computational modeling, computational science, information analysis, and decision analysis to practical problems of national importance. In so doing, the Board strengthens the policy-making process and increases the visibility of, and appreciation for, the mathematical sciences while also identifying growth areas for the discipline. The Board consists of 18 pro bono experts from a broad range of quantitative fields, with experience in academia, industry, and national laboratories.

Behavior analysis and neuroscience: Complementary disciplines.

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Donahoe, John W

2017-05-01

Behavior analysis and neuroscience are disciplines in their own right but are united in that both are subfields of a common overarching field-biology. What most fundamentally unites these disciplines is a shared commitment to selectionism, the Darwinian mode of explanation. In selectionism, the order and complexity observed in nature are seen as the cumulative products of selection processes acting over time on a population of variants-favoring some and disfavoring others-with the affected variants contributing to the population on which future selections operate. In the case of behavior analysis, the central selection process is selection by reinforcement; in neuroscience it is natural selection. The two selection processes are inter-related in that selection by reinforcement is itself the product of natural selection. The present paper illustrates the complementary nature of behavior analysis and neuroscience through considering their joint contributions to three central problem areas: reinforcement-including conditioned reinforcement, stimulus control-including equivalence classes, and memory-including reminding and remembering. © 2017 Society for the Experimental Analysis of Behavior.

The zone of proximal development in the learning of mathematics

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Sibawu Siyepu

2013-01-01

Full Text Available South Africa has a huge shortage of skilled workers in various fields such as engineering, applied sciences, accountancy, architecture, medicine and law. Mathematics is a requirement for entry in these careers to enable learners to grasp the content of various subjects in these disciplines. Despite that, in South Africa, learners' performance in mathematics is shocking. This article highlights the high failure rate of mathematics in a South African context. It suggests possible causes of learners' poor performance based on the literature. The article brings a socio-cultural theory of learning focusing on the zone ofproximal development as a possible solution in the development of instructional practices. It makes recommendations on what should be done to tackle anticipated problems as suggested in the discussion.

The dialectic relation between physics and mathematics in the XIXth century

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Pisano, Raffaele

2013-01-01

The aim of this book is to analyse historical problems related to the use of mathematics in physics as well as to the use of physics in mathematics and to investigate Mathematical Physics as precisely the new discipline which is concerned with this dialectical link itself. So the main question is: When and why did the tension between mathematics and physics, explicitly practised at least since Galileo, evolve into such a new scientific theory?   The authors explain the various ways in which this science allowed an advanced mathematical modelling in physics on the one hand, and the invention of new mathematical ideas on the other hand. Of course this problem is related to the links between institutions, universities, schools for engineers, and industries, and so it has social implications as well.   The link by which physical ideas had influenced the world of mathematics was not new in the 19th century, but it came to a kind of maturity at that time. Recently, much historical research has been done into math...

Overuse Injuries in Professional Ballet: Injury-Based Differences Among Ballet Disciplines.

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Sobrino, Francisco José; de la Cuadra, Crótida; Guillén, Pedro

2015-06-01

Despite overuse injuries being previously described as the most frequent in ballet, there are no studies on professional dancers providing the specific clinical diagnoses or type of injury based on the discipline. Overuse injuries are the most frequent injuries in ballet, with differences in the type and frequency of injuries based on discipline. Cross-sectional study; Level of evidence, 3. This was a descriptive cross-sectional study performed between January 1, 2005, and October 10, 2010, on injuries occurring in professional dancers from leading Spanish dance companies who practiced disciplines such as classical, neoclassical, contemporary, and Spanish ballet. Data, including type of injury, were obtained from specialized medical services at the Trauma Service, Fremap, Madrid, Spain. A total of 486 injuries were evaluated, a significant number of which were overuse disorders (P ballet (82.60%). Injuries were more frequent among female dancers (75.90%) and classical ballet (83.60%). A statistically significant prevalence of patellofemoral pain syndrome was found in the classical discipline (P = .007). Injuries of the adductor muscles of the thigh (P = .001) and of the low back facet (P = .02) in the Spanish ballet discipline and lateral snapping hip (P = .02) in classical and Spanish ballet disciplines were significant. Overuse injuries were the most frequent injuries among the professional dancers included in this study. The prevalence of injuries was greater for the most technically demanding discipline (classical ballet) as well as for women. Patellofemoral pain syndrome was the most prevalent overuse injury, followed by Achilles tendinopathy, patellar tendinopathy, and mechanical low back pain. Specific clinical diagnoses and injury-based differences between the disciplines are a key factor in ballet.

Many-electron approaches in physics, chemistry and mathematics a multidisciplinary view

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Site, Luigi

2014-01-01

This book provides a broad description of the development and (computational) application of many-electron approaches from a multidisciplinary perspective. In the context of studying many-electron systems Computer Science, Chemistry, Mathematics and Physics are all intimately interconnected. However, beyond a handful of communities working at the interface between these disciplines, there is still a marked separation of subjects. This book seeks to offer a common platform for possible exchanges between the various fields and to introduce the reader to perspectives for potential further developments across the disciplines. The rapid advances of modern technology will inevitably require substantial improvements in the approaches currently used, which will in turn make exchanges between disciplines indispensable. In essence this book is one of the very first attempts at an interdisciplinary approach to the many-electron problem.

Conflict Resolution and Peace Education: Transformations across Disciplines

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Carter, Candice C., Ed.

2012-01-01

Peace education includes lessons about conflict sources, transformation and resolution. While featuring field-based examples in multiple disciplines, including political science, anthropology, communication, psychology, sociology, counseling, law and teacher training, this book presents real cases of conflict work. Explained are concepts…

Discipline Based Instruction in Business Law

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Custin, Richard E.; Demas, John C.; Lampe, Marc; Custin, Colette L.

2013-01-01

Undergraduate business law courses typically utilize traditional textbooks organized by topic. Individual chapters, address the usual topics including contracts, torts, the court system and ethics. An innovative approach to facilitating a business law course involves segregating sections of the course into common business disciplines. Rather than…

VARIETIES OF SOCIAL DISCIPLINING, HISTORICAL PERSPECTIVES.

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Tomás A. Mantecón Movellán

2011-04-01

Full Text Available Historical thought has tended to explain social disciplining according to two main analytical perspectives: on one hand, German tradition about the so-called sozialdisziplinierung and, on the other hand, Foucault perspectives (focussed on disciplines practiced on the bodies-and/or-minds of people by the authorities. From these both viewpoints social disciplining was a dynamic ingredient of change, from traditional societies up to contemporary liberal societies; a machinery to provoke top-down changes (from above. On the bases of historical evidences, this research claims for a third viewpoint that stresses dynamics of social discipline and social disciplining from below; underlines the need of integrating this third perspective in the historical explanation of change in past societies throughout the analysis of social practices of everyday life; the values underneath them and, in the end, taking into account varieties of discipline and perspectives of social disciplining from below.

Negotiating the Boundaries Between Mathematics and Physics

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Radtka, Catherine

2015-07-01

This paper examines physics and mathematics textbooks published in France at the end of the 1950s and at the beginning of the 1960s for children aged 11-15 years old. It argues that at this "middle school" level, textbooks contributed to shape cultural representations of both disciplines and their mutual boundaries through their contents and their material aspect. Further, this paper argues that far from presenting clearly delimited subjects, late 1950s textbooks offered possible connections between mathematics and physics. It highlights that such connections depended upon the type of schools the textbooks aimed at, at a time when educational organization still differentiated pupils of this age. It thus stresses how the audience and its projected aptitudes and needs, as well as the cultural teaching traditions of the teachers in charge, were inseparable from the diverse conceptions of mathematics and physics and their relationships promoted through textbooks of the time.

The Effect of Dynamic and Interactive Mathematics Learning Environments (DIMLE), Supporting Multiple Representations, on Perceptions of Elementary Mathematics Pre-Service Teachers in Problem Solving Process

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Ozdemir, S.; Reis, Z. Ayvaz

2013-01-01

Mathematics is an important discipline, providing crucial tools, such as problem solving, to improve our cognitive abilities. In order to solve a problem, it is better to envision and represent through multiple means. Multiple representations can help a person to redefine a problem with his/her own words in that envisioning process. Dynamic and…

Clickers and Classroom Voting in a Transition to Advanced Mathematics Course

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Lockard, Shannon R.; Metcalf, Rebecca C.

2015-01-01

Clickers and classroom voting are used across a number of disciplines in a variety of institutions. There are several papers that describe the use of clickers in mathematics classrooms such as precalculus, calculus, statistics, and even differential equations. This paper describes a method of incorporating clickers and classroom voting in a…

A classical approach to the restoration of discipline in South African schools

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I.J. Oosthuizen

2003-08-01

Full Text Available As a result of the era of civil disobedience associated with the struggle for freedom and democracy discipline in many schools has deteriorated. The persistent lack of discipline in all South African schools can only be countered by means of a wise application of discipline. Application of “discipline” according to the standard dictionary meanings of the word will, however, not be appropriate since it implies a clamp-down on disruptive behaviour, including punishment, chastisement and retribution. Discipline associated with the paideia ideal of well-educatedness and of the educator as the servant of his learners (paidagogos, though within the context of a reformational perspective of discipline on the other hand, will be more suitable.

Distinctions between intelligent manufactured and constructed systems and a new discipline for intelligent infrastructure hypersystems

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Aktan, A. Emin

2003-08-01

Although the interconnected systems nature of the infrastructures, and the complexity of interactions between their engineered, socio-technical and natural constituents have been recognized for some time, the principles of effectively operating, protecting and preserving such systems by taking full advantage of "modeling, simulations, optimization, control and decision making" tools developed by the systems engineering and operations research community have not been adequately studied or discussed by many engineers including the writer. Differential and linear equation systems, numerical and finite element modeling techniques, statistical and probabilistic representations are universal, however, different disciplines have developed their distinct approaches to conceptualizing, idealizing and modeling the systems they commonly deal with. The challenge is in adapting and integrating deterministic and stochastic, geometric and numerical, physics-based and "soft (data-or-knowledge based)", macroscopic or microscopic models developed by various disciplines for simulating infrastructure systems. There is a lot to be learned by studying how different disciplines have studied, improved and optimized the systems relating to various processes and products in their domains. Operations research has become a fifty-year old discipline addressing complex systems problems. Its mathematical tools range from linear programming to decision processes and game theory. These tools are used extensively in management and finance, as well as by industrial engineers for optimizing and quality control. Progressive civil engineering academic programs have adopted "systems engineering" as a focal area. However, most of the civil engineering systems programs remain focused on constructing and analyzing highly idealized, often generic models relating to the planning or operation of transportation, water or waste systems, maintenance management, waste management or general infrastructure hazards

Mathematical thought from ancient to modern times, v.1-3

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Kline, Morris

1990-01-01

This comprehensive history traces the development of mathematical ideas and the careers of the men responsible for them. Volume 1 looks at the discipline's origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the 19th century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Godel on recent

Mathematical and conceptual foundations of 20th-century physics

International Nuclear Information System (INIS)

Emch, G.G.

1984-01-01

This volume presents a unified mathematical account of the conceptual foundations of 20th-century Physics. Part 1 provides a survey of classical physics divided in separate chapters on mechanics, thermodynamics and statistical mechanics, and electromagnetism. This study provides opportunities to place in perspective the successive advents of calculus, of probability and statistics, of differential and sympletic geometry, and of classical functional analysis. Relativity is presented in part 2 of this book and quantum theory in part 3. The motivation provided by physical problems in the development of mathematical disciplines such as, for instance, pseudo-Riemannian geometries, Hilbert spaces and operator algebras, are emphasized. (H.W.). refs.; figs.; schemes

Embedding Diagnostic Mechanisms in a Digital Game for Learning Mathematics

Science.gov (United States)

Huang, Yueh-Min; Huang, Shu-Hsien; Wu, Ting-Ting

2014-01-01

Mathematics is closely related to daily life, but it is also one of the lessons which often cause anxiety to primary school students. Digital game-based learning (DGBL) has been regarded as a sound learning strategy in raising learner willingness and interest in many disciplines. Thus, ways of designing a DGBL system to mitigate anxiety are well…

Comparative Medicine: An Inclusive Crossover Discipline.

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Macy, James; Horvath, Tamas L

2017-09-01

Comparative Medicine is typically defined as a discipline which relates and leverages the biological similarities and differences among animal species to better understand the mechanism of human and animal disease. It has also been defined as a field of study concentrating on similarities and differences between human and veterinary medicine and is increasingly associated with animal models of human disease, including the critical role veterinarians, animal resource centers, and Institutional Animal Care and Use Committees play in facilitating and ensuring humane and reproducible laboratory animal care and use. To this end, comparative medicine plays a pivotal role in reduction, refinement, and replacement in animals in biomedical research. On many levels, comparative medicine facilitates the translation of basic science knowledge into clinical applications; applying comparative medicine concepts throughout the translation process is critical for success. In addition to the supportive role of comparative medicine in the research enterprise, its role as a distinct and independent scientific discipline should not be lost. Although comparative medicine's research "niche" is not one particular discipline or disease process, rather, it is the investigative mindset that seeks to reveal common threads that weave different pathophysiologic processes into translatable approaches and outcomes using various models.

Construction and Modification of the Autonomy of School Mathematical Knowledge in Portugal

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Matos, José Manuel

2016-01-01

During the second half of the nineteenth century and early twentieth century the discipline of secondary mathematics was gradually built in Portugal and certified teachers, textbooks, programs, special teaching techniques emerge. This consolidation process ends with the emergency of school subjects that develop some kind of autonomy as Chervel…

Intra-mathematical connections made by high school students in performing Calculus tasks

Science.gov (United States)

García-García, Javier; Dolores-Flores, Crisólogo

2018-02-01

In this article, we report the results of research that explores the intra-mathematical connections that high school students make when they solve Calculus tasks, in particular those involving the derivative and the integral. We consider mathematical connections as a cognitive process through which a person relates or associates two or more ideas, concepts, definitions, theorems, procedures, representations and meanings among themselves, with other disciplines or with real life. Task-based interviews were used to collect data and thematic analysis was used to analyze them. Through the analysis of the productions of the 25 participants, we identified 223 intra-mathematical connections. The data allowed us to establish a mathematical connections system which contributes to the understanding of higher concepts, in our case, the Fundamental Theorem of Calculus. We found mathematical connections of the types: different representations, procedural, features, reversibility and meaning as a connection.

Ethics and Reverence for the Discipline of Nursing.

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Milton, Constance L

2017-01-01

Healthcare disciplines, including nursing, are emerging sciences that contain discipline-specific theories that guide the activities of research, practice, and education. The term nursing science calls forth meaning that has long been accepted and referred to as the extant nursing theories undergirded with philosophy of science. Recent writings dispute the purposes and future usage of nursing theoretical frameworks in the science of nursing. The author of this article proposes new thinking about the importance of reverence and ethical implications for the future of formal inquiry in nursing science.

Systematic perspectives on diverging mathematical orientations

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D.F.M. Strauss

2005-07-01

Full Text Available The popular view that mathematics is “objective” and “neutral” in the sense that it does not know different standpoints is contradicted by the factual state of modern mathematics. In the light of the dominant one-sided trends in the history of mathe-matics, fluctuating between arithmeticism and a geometrisation of this discipline, this article explores some provisional starting-points for a different view. This third option is explored by investigating some features of an acknowledgement of the uniqueness of number and space without neglecting the inter-aspectual connections between these two modal functions. An argument is advanced regarding the inevitability of employing analogical (or elementary basic concepts, and this perspective is articulated in terms of the theory of modal aspects. Numerical and spatial terms are discussed and eventually focused on a deepened understanding of the meaning of infinity. In addition to a brief look at the circularity present in the arithmeticist claim that mathematics could be fully arithmetised (Grünbaum, attention is also asked for the agreement between Aristotle and Cantor regarding the nature of continuity – assessed in terms of the irreducibility of the numerical and spatial aspects of reality. Finally a characterisation is given of the ontological assumpt-ions of intuitionism and axiomatic formalism.

Physics, Computer Science and Mathematics Division. Annual report, 1 January--31 December 1977. [LBL, 1977

Energy Technology Data Exchange (ETDEWEB)

Lepore, J.V. (ed.)

1977-01-01

This annual report of the Physics, Computer Science and Mathematics Division describes the scientific research and other work carried out within the Division during 1977. The Division is concerned with work in experimental and theoretical physics, with computer science and applied mathematics, and with the operation of a computer center. The major physics research activity is in high-energy physics, although there is a relatively small program of medium-energy research. The High Energy Physics research program in the Physics Division is concerned with fundamental research which will enable man to comprehend the nature of the physical world. The major effort is now directed toward experiments with positron-electron colliding beam at PEP. The Medium Energy Physics program is concerned with research using mesons and nucleons to probe the properties of matter. This research is concerned with the study of nuclear structure, nuclear reactions, and the interactions between nuclei and electromagnetic radiation and mesons. The Computer Science and Applied Mathematics Department engages in research in a variety of computer science and mathematics disciplines. Work in computer science and applied mathematics includes construction of data bases, computer graphics, computational physics and data analysis, mathematical modeling, and mathematical analysis of differential and integral equations resulting from physical problems. The Computer Center provides large-scale computational support to LBL's scientific programs. Descriptions of the various activities are quite short; references to published results are given. 24 figures. (RWR)

Disciplining Students with Disabilities.

Science.gov (United States)

Dwyer, Kevin P.

This report discusses disciplining children with disabilities in schools, in the context of the legal requirements of the Individuals with Disabilities Education Act. Practical concepts are explained in terms of the school's responsibility to: (1) maintain a safe environment; (2) teach a code of discipline to all students; (3) use the…

Discipline: A Review of Selected Literature.

Science.gov (United States)

Arsulich, Michael

The nature of school discipline problems has changed over the past few decades. In the 1950s, teachers thought that fighting, stealing, and disrespect toward authority were the most serious forms of student misbehavior. Violent assaults on teachers and pupils, gang warfare, burglary, extortion, and destruction of school property are included among…

Social Consciousness and Discipline.

Science.gov (United States)

Walsh, Kevin; Cowles, Milly

The act of disciplining children cannot be based upon merely "putting a stop" to negative actions by means of reactionary techniques of control. If educators begin to consider discipline as a major aspect of the educational aim of socialization of children, significant contributions toward their moral and social development will take place.…

Enhancing Interdisciplinary Mathematics and Biology Education: A Microarray Data Analysis Course Bridging These Disciplines

Science.gov (United States)

Tra, Yolande V.; Evans, Irene M.

2010-01-01

"BIO2010" put forth the goal of improving the mathematical educational background of biology students. The analysis and interpretation of microarray high-dimensional data can be very challenging and is best done by a statistician and a biologist working and teaching in a collaborative manner. We set up such a collaboration and designed a course on…

Structural Equation Model to Validate: Mathematics-Computer Interaction, Computer Confidence, Mathematics Commitment, Mathematics Motivation and Mathematics Confidence

Science.gov (United States)

Garcia-Santillán, Arturo; Moreno-Garcia, Elena; Escalera-Chávez, Milka E.; Rojas-Kramer, Carlos A.; Pozos-Texon, Felipe

2016-01-01

Most mathematics students show a definite tendency toward an attitudinal deficiency, which can be primarily understood as intolerance to the matter, affecting their scholar performance adversely. In addition, information and communication technologies have been gradually included within the process of teaching mathematics. Such adoption of…

Enhancing student engagement to positively impact mathematics anxiety, confidence and achievement for interdisciplinary science subjects

Science.gov (United States)

Everingham, Yvette L.; Gyuris, Emma; Connolly, Sean R.

2017-11-01

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 negative emotions like high mathematical anxiety and low mathematical confidence. Here, we present a theoretical framework that investigates linkages between student engagement, mathematical anxiety, mathematical confidence, student achievement and subject mastery. We implement this framework in a large, first-year interdisciplinary science subject and monitor its impact over several years from 2010 to 2015. The implementation of the framework coincided with an easing of anxiety and enhanced confidence, as well as higher student satisfaction, retention and achievement. The framework offers interdisciplinary science educators greater flexibility and confidence in their approach to designing and delivering subjects that rely on mathematical concepts and practices.

Middle School Science and Mathematics Teachers' Conceptions of the Nature of Science: A One-Year Study on the Effects of Explicit and Reflective Online Instruction

Science.gov (United States)

Wong, Sissy S.; Firestone, Jonah B.; Ronduen, Lionnel G.; Bang, EunJin

2016-01-01

Science, Technology, Engineering, and Mathematics (STEM) education has become one of the main priorities in the United States. Science education communities and researchers advocate for integration of STEM disciplines throughout the teaching curriculum. This requires teacher knowledge in STEM disciplines, as well as competence in scientific…

Mathematical modeling of a process the rolling delivery

Science.gov (United States)

Stepanov, Mikhail A.; Korolev, Andrey A.

2018-03-01

An adduced analysis of the scientific researches in a domain of the rolling equipments, also research of properties the working material. A one of perspective direction of scientific research this is mathematical modeling. That is broadly used in many scientific disciplines and especially at the technical, applied sciences. With the aid of mathematical modeling it can be study of physical properties of the researching objects and systems. A research of the rolling delivery and transporting devices realized with the aid of a construction of mathematical model of appropriate process. To be described the basic principles and conditions of a construction of mathematical models of the real objects. For example to be consider a construction of mathematical model the rolling delivery device. For a construction that is model used system of the equations, which consist of: Lagrange’s equation of a motion, describing of the law conservation of energy of a mechanical system, and the Navier - Stokes equations, which characterize of the flow of a continuous non-compressed fluid. A construction of mathematical model the rolling deliver to let determined of a total energy of device, and therefore to got the dependence upon the power of drive to a gap between of rolls. A corroborate the hypothesis about laminar the flow of a material into the rolling gap of deliver.

Children and Discipline: Investigating Secondary School Students' Perception of Discipline through Metaphors

Science.gov (United States)

Sadik, Fatma

2018-01-01

This is a descriptive study investigating the perception of children about discipline through metaphors developed by them. A total of 445 students participated in the research and the data was collected with the "Discipline Metaphors Survey (DMS)" developed by the researchers. At the end of the study, 143 metaphors, 94 positive and 49…

Secondary School Mathematics Teachers' Knowledge Levels and Use of History of Mathematics

Science.gov (United States)

Bütüner, Suphi Önder

2018-01-01

This study describes secondary school mathematics teachers' use of history of mathematics in their classes and their knowledge levels in this field. The study population included a total of 58 secondary school mathematics teachers working at the secondary schools located in Yozgat city center, and the sample included 32 mathematics teachers from…

Developing Teaching Material Based on Realistic Mathematics Andoriented to the Mathematical Reasoning and Mathematical Communication

OpenAIRE

Habsah, Fitria

2017-01-01

This research aims to produce mathematics textbook for grade VII junior high school students based on realistic mathematics and oriented to the mathematical reasoning and mathematical communication. The quality is determined based on Nieveen criteria, including validity, practicality, and effectiveness.This study was a research and development and used Borg & Gall model. The subject of this research were the students of SMPN 2 Pujon-Kabupaten Malang, that is 30 students in an experimental cla...

Discipline in the Classroom. Revised Edition.

Science.gov (United States)

National Education Association, Washington, DC.

The articles in this booklet reflect a broad spectrum in their approach to discipline and the teaching process. Even though discipline is now called classroom control, these articles indicate that some educators question the desirability of precise prescription in the classroom. Running through the articles is a common thread: discipline is less…

Geriatric Cardiology: An Emerging Discipline.

Science.gov (United States)

Dodson, John A; Matlock, Daniel D; Forman, Daniel E

2016-09-01

Given changing demographics, patients with cardiovascular (CV) disease in developed countries are now older and more complex than even a decade ago. This trend is expected to continue into the foreseeable future; accordingly, cardiologists are encountering patients with a greater number of comorbid illnesses as well as "geriatric conditions," such as cognitive impairment and frailty, which complicate management and influence outcomes. Simultaneously, technological advances have widened the therapeutic options available for patients, including those with the most advanced CV disease. In the setting of these changes, geriatric cardiology has recently emerged as a discipline that aims to adapt principles from geriatric medicine to everyday cardiology practice. Accordingly, the tasks of a "geriatric cardiologist" may include both traditional evidence-based CV management plus comprehensive geriatric assessment, medication reduction, team-based coordination of care, and explicit incorporation of patient goals into management. Given that the field is still in its relative infancy, the training pathways and structure of clinical programs in geriatric cardiology are still being delineated. In this review, we highlight the rationale behind geriatric cardiology as a discipline, several current approaches by geriatric cardiology programs, and future directions for the field. Copyright © 2016 Canadian Cardiovascular Society. Published by Elsevier Inc. All rights reserved.

Some unsolved problems in discrete mathematics and mathematical cybernetics

Science.gov (United States)

Korshunov, Aleksei D.

2009-10-01

There are many unsolved problems in discrete mathematics and mathematical cybernetics. Writing a comprehensive survey of such problems involves great difficulties. First, such problems are rather numerous and varied. Second, they greatly differ from each other in degree of completeness of their solution. Therefore, even a comprehensive survey should not attempt to cover the whole variety of such problems; only the most important and significant problems should be reviewed. An impersonal choice of problems to include is quite hard. This paper includes 13 unsolved problems related to combinatorial mathematics and computational complexity theory. The problems selected give an indication of the author's studies for 50 years; for this reason, the choice of the problems reviewed here is, to some extent, subjective. At the same time, these problems are very difficult and quite important for discrete mathematics and mathematical cybernetics. Bibliography: 74 items.

Some unsolved problems in discrete mathematics and mathematical cybernetics

International Nuclear Information System (INIS)

Korshunov, Aleksei D

2009-01-01

There are many unsolved problems in discrete mathematics and mathematical cybernetics. Writing a comprehensive survey of such problems involves great difficulties. First, such problems are rather numerous and varied. Second, they greatly differ from each other in degree of completeness of their solution. Therefore, even a comprehensive survey should not attempt to cover the whole variety of such problems; only the most important and significant problems should be reviewed. An impersonal choice of problems to include is quite hard. This paper includes 13 unsolved problems related to combinatorial mathematics and computational complexity theory. The problems selected give an indication of the author's studies for 50 years; for this reason, the choice of the problems reviewed here is, to some extent, subjective. At the same time, these problems are very difficult and quite important for discrete mathematics and mathematical cybernetics. Bibliography: 74 items.

Bridging disciplines through problem based learning

DEFF Research Database (Denmark)

Stentoft, Diana

2011-01-01

This paper examines whether a problem based approach to students’ learning may support interdisciplinary education at university level, where students are required to engage with the complexities inherent in constructing knowledge across disciplinary boundaries. These complexities include students...... engaging with multiple and conflicting epistemologies, identification and contextualisation of problems involving several disciplines in their solution etc. A practical example found in the case of newly developed BSc and MSc programs in Techno-Anthropology is provided.The paper includes some examples...

Delivering Advanced Methods in Mathematical Programming to Students of All Disciplines Using Abstraction, Modularity and Open-Ended Assignments

Science.gov (United States)

Ezra, Elishai; Nahmias, Yaakov

2015-01-01

The advent of integrated multidisciplinary research has given rise to some of the most important breakthroughs of our time, but has also set significant challenges to the current educational paradigm. Current academic education often limits cross-discipline discussion, depends on close-ended problems, and restricts utilization of interdisciplinary…

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...

An introduction to the mathematics of biology with computer algebra models

CERN Document Server

Yeargers, Edward K; Herod, James V

1996-01-01

Biology is a source of fascination for most scientists, whether their training is in the life sciences or not. In particular, there is a special satisfaction in discovering an understanding of biology in the context of another science like mathematics. Fortunately there are plenty of interesting (and fun) problems in biology, and virtually all scientific disciplines have become the richer for it. For example, two major journals, Mathematical Biosciences and Journal of Mathematical Biology, have tripled in size since their inceptions 20-25 years ago. The various sciences have a great deal to give to one another, but there are still too many fences separating them. In writing this book we have adopted the philosophy that mathematical biology is not merely the intrusion of one science into another, but has a unity of its own, in which both the biology and the math­ ematics should be equal and complete, and should flow smoothly into and out of one another. We have taught mathematical biology with this philosophy...

Mathematical Modelling in the Junior Secondary Years: An Approach Incorporating Mathematical Technology

Science.gov (United States)

Lowe, James; Carter, Merilyn; Cooper, Tom

2018-01-01

Mathematical models are conceptual processes that use mathematics to describe, explain, and/or predict the behaviour of complex systems. This article is written for teachers of mathematics in the junior secondary years (including out-of-field teachers of mathematics) who may be unfamiliar with mathematical modelling, to explain the steps involved…

Cultivating Parabolas in the Parlor Garden: Reconciling Mathematics Education and Feminine Ideals in Nineteenth-Century America

Science.gov (United States)

Fiss, Andrew

2014-02-01

This article introduces the justification problem for mathematics, which it explores through the case study of 1820s-1840s rationales for the teaching of mathematics to women in the United States. It argues that, while educators in the 1820s justified women's studies through mental discipline (a common reason for men's study), those of the 1830s-1840s increasingly relied on separate, gendered justifications, tied to emerging ideals of middle-class femininity. This article therefore emphasizes the contingency of the justification problem, which serves to break the present-day cycle of gender stereotypes regarding mathematics.

The role of mathematics in politics as an issue for mathematics teaching

DEFF Research Database (Denmark)

Sánchez, Mario; Blomhøj, Morten

2010-01-01

This paper presents analyses of some examples of mathematical models used in the Mexican society of today. We seek to justify why and illustrate how such examples can be included in mathematics teaching and in teacher education.......This paper presents analyses of some examples of mathematical models used in the Mexican society of today. We seek to justify why and illustrate how such examples can be included in mathematics teaching and in teacher education....

Foundations of mathematics and physics one century after Hilbert new perspectives

CERN Document Server

2018-01-01

This book explores the rich and deep interplay between mathematics and physics one century after David Hilbert’s works from 1891 to 1933, published by Springer in six volumes. The most prominent scientists in various domains of these disciplines contribute to this volume providing insight to their works, and analyzing the impact of the breakthrough and the perspectives of their own contributions. The result is a broad journey through the most recent developments in mathematical physics, such as string theory, quantum gravity, noncommutative geometry, twistor theory, Gauge and Quantum fields theories, just to mention a few. The reader, accompanied on this journey by some of the fathers of these theories, explores some far reaching interfaces where mathematics and theoretical physics interact profoundly and gets a broad and deep understanding of subjects which are at the core of recent developments in mathematical physics. The journey is not confined to the present state of the art, but sheds light on future ...

Principal’s Leadership in Improving Teacher Discipline

Directory of Open Access Journals (Sweden)

Out Chanthea

2014-06-01

Full Text Available The purpose of this study is to understand  Principal’s Leadership in Improving Teacher Discipline and it is investigated under the focus: (1 factors needed by principals to influence teacher discipline effectively, (2 techniques are used by headmaster to improve teacher discipline, (3 the process of teacher motivation in improving the discipline, (4 the reward and punishment systems applied by the principal to improving teacher discipline, and (5 the process of monitoring the implementation of teacher discipline. This research used a qualitative approach with a case-study design. Data collection techniques which were applied are: (1 in-depth interview, (2 ob-servation, and (3 documentation. The results of this study are presented as followings. (1 Factors needed by principal to influence teacher discipline effectively are: a education background, b work experience, c a positive model, d awareness of the role and responsibility as a school leader, e professional character. (2 Techniques used by headmaster to apply teacher discipline are: a reminding, b discussion, c meeting, d evaluation, e communication f the letter, and g the reward and punish-ment. (3 The process of teacher motivation in improving the discipline are: a good involvement and communication,  b training programs, c accepting suggestions/discussion, d  the outbound activity, e getting involved with all school activities, f celebrating all  special holiday, both national and religious holidays, g  staff promotion, and i the bonus salary. (4 the reward and punishment sys-tems applied by the principal to improvee teacher discipline are:  a appraisals,  b a prize and  a cer-tificate of appreciation,  c bonus salary,  d discussion about the problem, warning letters, and dismissing letter, and e salary suspension and salary decreases. (5 The process of monitoring the implementation of teacher discipline are: a management system/organizing structure, and b direct and indirect

Kaspar Schott's "encyclopedia of all mathematical sciences"

Science.gov (United States)

Knobloch, Eberhard

2011-06-01

In 1661, Kaspar Schott published his comprehensive textbook "Cursus mathematicus" in Würzburg for the first time, his "Encyclopedia of all mathematical sciences". It was so successful that it was published again in 1674 and 1677. In its 28 books, Schott gave an introduction for beginners in 22 mathematical disciplines by means of 533 figures and numerous tables. He wanted to avoid the shortness and the unintelligibility of his predecessors Alsted and Hérigone. He cited or recommended far more than hundred authors, among them Protestants like Michael Stifel and Johannes Kepler, but also Catholics like Nicolaus Copernicus. The paper gives a survey of this work and explains especially interesting aspects: The dedication to the German emperor Leopold I., Athanasius Kircher's letter of recommendation as well as Schott's classification of sciences, explanations regarding geometry, astronomy, and algebra.

NASA HRP Immunology Discipline - Use of Terrestrial Analogs

Science.gov (United States)

Crucian, Brian

2014-01-01

Due to the cost and operational constraints, as well as technical implementation limitations, it is desirous to perform relevant space physiology investigations first in terrestrial 'space analogs'. This is particularly true for initial investigations, which may then provide appropriate focus for subsequent flight investigations, or for mechanistic investigations that simply cannot be performed during spaceflight. Appropriate analog choice is extremely important. There are a wide variety of terrestrial space analogs, each relevant to a particular physiological discipline (or disciplines) and each with a particular fidelity (or lack thereof) to spaceflight, and each with unique operational constraints. The HRP Immunology Discipline is tasked with managing the HRP Risk concerning clinical risk for Astronaut crews related to spaceflight-associated immune dysregulation. Such dysregulation has been documented to occur during spaceflight, and found to persist for the duration of a 6-month ISS mission. Studies continue to characterize the onorbit phenomenon, but it generally consists of diminished immunocyte function, dysregulated cytokine profiles, and persistent herpesvirus reactivation. Causes are thought to synergistically include microgravity, psychological or physiological stress, radiation, and/or circadian misalignment. An appropriate terrestrial analog for immune dysregulation would replicate as many of these influences as possible. Such analogs may include clinostat or bioreactor cell culture (microgravity), hindlimb suspension (stress, fluid shifts, hypokinesis), or human deployment to remote or extreme environments (isolation, stress, circadian). Also, the laboratory setting may be used as an analog, or to augment analogs, such as sleep deprivation/misalignment or human centrifugation to replicate gravitational stress. As an appropriate example of a NASA Disciplines use of Terrestrial space analogs, this talk will discuss spaceflight associated immune

Subsidiary historical disciplines at Yugoslav and Serbian universities: Their development and perspectives

Directory of Open Access Journals (Sweden)

Atlagić Marko P.

2013-01-01

Full Text Available Subsidiary historical disciplines are an important segment of the studies of history without which the history cannot achieve its main methodological goal. They are available for the purpose of history and historical scientific research. Also, they are of an immense importance for collecting and examining historical sources that is for heuristics. At the same time they are relevant for the judgment regarding choosing, valorization and the use of historical sources, namely for historical critique. In the modern period of the development of teaching history at the universities, subsidiary historical disciplines were consisted mostly of Latin paleography, diplomatics and chronology. Since teaching at universities is being developed, the extension of subsidiary historical disciplines is also being slowly spread on sphragistics and numismatics so that nowadays they include Latin paleography, Slavic paleography, epigraphic, filigranology, diplomatics, chronology, genealogy, sphragistics, numismatics, historical metrology, toponomastics with topography and vexillology. Subsidiary historical disciplines became a part of the programmes for studying history at the end of the XVIII century while they were completely affirmed during the XIX century. However, that practice was not included in Yugoslav and especially not in Serbian universities where subsidiary historical disciplines should have been given the first place in the programmes for studying history as well as in their practical use.

Mathematical modelling

CERN Document Server

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.

Multi-discipline Waste Acceptance Process at the Nevada National Security Site - 13573

Energy Technology Data Exchange (ETDEWEB)

Carilli, Jhon T. [US Department Of Energy, Nevada Site Office, P. O. Box 98518, Las Vegas, Nevada 89193-8518 (United States); Krenzien, Susan K. [Navarro-Intera, LLC, P. O. Box 98952, Las Vegas, Nevada 89193-8952 (United States)

2013-07-01

The Nevada National Security Site low-level radioactive waste disposal facility acceptance process requires multiple disciplines to ensure the protection of workers, the public, and the environment. These disciplines, which include waste acceptance, nuclear criticality, safety, permitting, operations, and performance assessment, combine into the overall waste acceptance process to assess low-level radioactive waste streams for disposal at the Area 5 Radioactive Waste Management Site. Four waste streams recently highlighted the integration of these disciplines: the Oak Ridge Radioisotope Thermoelectric Generators and Consolidated Edison Uranium Solidification Project material, West Valley Melter, and classified waste. (authors)

Some unsolved problems in discrete mathematics and mathematical cybernetics

Energy Technology Data Exchange (ETDEWEB)

Korshunov, Aleksei D [S.L. Sobolev Institute for Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk (Russian Federation)

2009-10-31

There are many unsolved problems in discrete mathematics and mathematical cybernetics. Writing a comprehensive survey of such problems involves great difficulties. First, such problems are rather numerous and varied. Second, they greatly differ from each other in degree of completeness of their solution. Therefore, even a comprehensive survey should not attempt to cover the whole variety of such problems; only the most important and significant problems should be reviewed. An impersonal choice of problems to include is quite hard. This paper includes 13 unsolved problems related to combinatorial mathematics and computational complexity theory. The problems selected give an indication of the author's studies for 50 years; for this reason, the choice of the problems reviewed here is, to some extent, subjective. At the same time, these problems are very difficult and quite important for discrete mathematics and mathematical cybernetics. Bibliography: 74 items.

Mathematical Skills in Undergraduate Students. A Ten-Year Survey of a Plant Physiology Course

Science.gov (United States)

Llamas, A.; Vila, F.; Sanz, A.

2012-01-01

In the health and life sciences and many other scientific disciplines, problem solving depends on mathematical skills. However, significant deficiencies are commonly found in this regard in undergraduate students. In an attempt to understand the underlying causes, and to improve students' performances, this article describes a ten-year survey…

A course in mathematical statistics and large sample theory

CERN Document Server

Bhattacharya, Rabi; Patrangenaru, Victor

2016-01-01

This graduate-level textbook is primarily aimed at graduate students of statistics, mathematics, science, and engineering who have had an undergraduate course in statistics, an upper division course in analysis, and some acquaintance with measure theoretic probability. It provides a rigorous presentation of the core of mathematical statistics. Part I of this book constitutes a one-semester course on basic parametric mathematical statistics. Part II deals with the large sample theory of statistics — parametric and nonparametric, and its contents may be covered in one semester as well. Part III provides brief accounts of a number of topics of current interest for practitioners and other disciplines whose work involves statistical methods. Large Sample theory with many worked examples, numerical calculations, and simulations to illustrate theory Appendices provide ready access to a number of standard results, with many proofs Solutions given to a number of selected exercises from Part I Part II exercises with ...

Proposal of a pedagogical model for mathematics teacher education

Directory of Open Access Journals (Sweden)

Alfonso Jiménez Espinosa

2011-01-01

Full Text Available This research-based article reflects on mathematics teacher education, and proposes a pedagogical model for this purpose, called Gradual Research Pedagogical Model (MPGI. This model considers the central curricular elements of any academic education process: student, teacher and contents, with evaluation as transversal element for analysis and feedback. The training of future teachers is constituted by three moments, each with its specific emphasis: the first is “contextualization”, which aims at having the student understand his or her new academic role, and identify and overcome his or her academic weak points, the second is “knowledge foundation”, which offers basic education in the fields of mathematics and pedagogy, as well as sensibilization towards social issues, opening up the student’s possibilities as leader and agent of change, and lastly, “knowledge immersion”, which is centered on research and the identification and study of topics and problems of the mathematical discipline as well as the pedagogical field.

Diagnosis of Student’s Attitudes towards Mathematics in the First Year of Three Graduate Programs in Business Administration

OpenAIRE

Edgar Oliver Cardoso-Espinosa; Eduardo Antonio Vanegas-López; María Trinidad Cerecedo-Mercado

2012-01-01

The objective of this research was to determine the student’s attitudes towards Mathematics at the beginning of their graduate studies in Business Administration. The study used an exploratory, non-experimental, cross-sectional design. The instrument used was a questionnaire based on willingness, confidence, utility, motivation and anxiety with Likert questions. The study concluded that students have a negative attitude towards Mathematics; it is considered as a useful but difficult disciplin...

A synergistic effort among geoscience, physics, computer science and mathematics at Hunter College of CUNY as a Catalyst for educating Earth scientists.

Science.gov (United States)

Salmun, H.; Buonaiuto, F. S.

2016-12-01

The Catalyst Scholarship Program at Hunter College of The City University of New York (CUNY) was established with a four-year award from the National Science Foundation (NSF) to fund scholarships for academically talented but financially disadvantaged students majoring in four disciplines of science, technology, engineering and mathematics (STEM). Led by Earth scientists the Program awarded scholarships to students in their junior or senior years majoring in computer science, geosciences, mathematics and physics to create two cohorts of students that spent a total of four semesters in an interdisciplinary community. The program included mentoring of undergraduate students by faculty and graduate students (peer-mentoring), a sequence of three semesters of a one-credit seminar course and opportunities to engage in research activities, research seminars and other enriching academic experiences. Faculty and peer-mentoring were integrated into all parts of the scholarship activities. The one-credit seminar course, although designed to expose scholars to the diversity STEM disciplines and to highlight research options and careers in these disciplines, was thematically focused on geoscience, specifically on ocean and atmospheric science. The program resulted in increased retention rates relative to institutional averages. In this presentation we will discuss the process of establishing the program, from the original plans to its implementation, as well as the impact of this multidisciplinary approach to geoscience education at our institution and beyond. An overview of accomplishments, lessons learned and potential for best practices will be presented.

Conventional Systems of Classroom Discipline (the Patriarchy Speaks).

Science.gov (United States)

Blumenfeld-Jones, Donald S.

1996-01-01

Considers traditional classroom discipline systems as patriarchal moral systems focused on hyperindividuality and dependent upon rules, consequences, and principles focused through authoritarian structures. Critiques the Assertive Discipline, Control Theory, and Discipline with Dignity discipline systems, and proposes an alternative model for…

Research Data in Core Journals in Biology, Chemistry, Mathematics, and Physics.

Directory of Open Access Journals (Sweden)

Ryan P Womack

Full Text Available This study takes a stratified random sample of articles published in 2014 from the top 10 journals in the disciplines of biology, chemistry, mathematics, and physics, as ranked by impact factor. Sampled articles were examined for their reporting of original data or reuse of prior data, and were coded for whether the data was publicly shared or otherwise made available to readers. Other characteristics such as the sharing of software code used for analysis and use of data citation and DOIs for data were examined. The study finds that data sharing practices are still relatively rare in these disciplines' top journals, but that the disciplines have markedly different practices. Biology top journals share original data at the highest rate, and physics top journals share at the lowest rate. Overall, the study finds that within the top journals, only 13% of articles with original data published in 2014 make the data available to others.

Mathematics

CERN Document Server

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

Building a Community of Scholars: One University's Story of Students Engaged in Learning Science, Mathematics, and Engineering through a NSF S-STEM Grant--Part II

Science.gov (United States)

Kalevitch, Maria; Maurer, Cheryl; Badger, Paul; Holdan, Greg; Sirinterlikci, Arif

2015-01-01

The School of Engineering, Mathematics, and Science (SEMS) at Robert Morris University (RMU) was awarded a five-year grant from the National Science Foundation (NSF) to fund scholarships to 21 academically talented but financially challenged students majoring in the disciplines of science, technology, engineering, and mathematics (STEM). Each…

A systemic perspective on cognition and mathematics

CERN Document Server

Forrest, Jeffrey Yi-Lin

2013-01-01

This book is devoted to the study of human thought, its systemic structure, and the historical development of mathematics both as a product of thought and as a fascinating case analysis. After demonstrating that systems research constitutes the second dimension of modern science, the monograph discusses the yoyo model, a recent ground-breaking development of systems research, which has brought forward revolutionary applications of systems research in various areas of the traditional disciplines, the first dimension of science. After the systemic structure of thought is factually revealed, math

Women of Science, Technology, Engineering, and Mathematics: A Qualitative Exploration into Factors of Success

Science.gov (United States)

Olund, Jeanine K.

2012-01-01

Although the number of women entering science, technology, engineering, and mathematics (STEM) disciplines has increased in recent years, overall there are still more men than women completing four-year degrees in these fields, especially in physics, engineering, and computer science. At higher levels of education and within the workplace, the…

Utah's New Mathematics Core

Science.gov (United States)

Utah State Office of Education, 2011

2011-01-01

Utah has adopted more rigorous mathematics standards known as the Utah Mathematics Core Standards. They are the foundation of the mathematics curriculum for the State of Utah. The standards include the skills and understanding students need to succeed in college and careers. They include rigorous content and application of knowledge and reflect…

Secondary School Mathematics Teachers' Attitude in Teaching Mathematics

OpenAIRE

Mulugeta Atnafu

2014-01-01

The purpose of this study was to examine Addis Ababa secondary school mathematics teachers’ attitude in teaching mathematics. 148 mathematics teachers were selected using cluster sampling from Addis Ababa administration region. The study used survey method of data collection and it includes both quantitative and qualitative research methods. From the independent t-test, ANOVA, tukey test and regression analysis, some of the results obtained were: the majority of the secondary school mathemati...

Exploration of the lived experiences of undergraduate science, technology, engineering, and mathematics minority students

Science.gov (United States)

Snead-McDaniel, Kimberly

An expanding ethnicity gap exists in the number of students pursuing science, technology, engineering, and mathematics (STEM) careers in the United States. The National Action Council for Minorities in Engineering revealed that the number of minorities pursuing STEM degrees and careers has declined over the past few years. The specific origins of this trend are not quite evident; one variable to consider is that undergraduate minority students are failing in STEM disciplines at various levels of education from elementary to postsecondary. The failure of female and minority students to enter STEM disciplines in higher education have led various initiatives to establish programs to promote STEM disciplines among these groups. Additional funding for minority STEM programs have led to a increase in undergraduate minority students entering STEM disciplines, but the minority students' graduation rate in STEM disciplines is approximately 7% lower than the graduation of nonminority students in STEM disciplines. This phenomenological qualitative research study explores the lived experiences of underrepresented minority undergraduate college students participating in an undergraduate minority-mentoring program. The following nine themes emerged from the study: (a) competitiveness, (b) public perception, (c) dedication, (d) self-perception, (e) program activities, (f) time management, (g) exposure to career and graduate opportunities, (h) rigor in the curriculum, and (i) peer mentoring. The themes provided answers and outcomes to better support a stronger minority representation in STEM disciplines.

Interaction between Mathematics and Physics

Directory of Open Access Journals (Sweden)

Hitchin, Nigel

2007-06-01

Full Text Available There is at the moment a highly active interface between mathematics and theoretical physics, which extends into completely new areas of both disciplines. This article, based on a round table discussion which took place as part of the activities around the 2006 International Congress of Mathematicians in Madrid, explores some of the issues involved: the differing goals and backgrounds of the two communities, today’s interactions and their precedents, the possibilities for the future and the role of mathematics itself in understanding the world in which we live.Actualmente existe una importante interfaz entre matemáticas y física teórica, que ha producido áreas completamente nuevas. Este artículo está basado en un debate en una mesa redonda organizada en el entorno del International Congress of Mathematicians en 2006 de Madrid, explora algunos de estos temas: los diferentes objetivos y pasado de ambas disciplinas, las interacciones actuales y sus precedentes, las posibilidades para el futuro y el papel de las matemáticas para entender el mundo en que vivimos.

Where mathematics and hearing science meet : low peak factor signals and their role in hearing research

NARCIS (Netherlands)

Kohlrausch, A.G.; Par, van de S.L.J.D.E.; Xiang, N.; Sessler, G.

2015-01-01

In his scientific work, Manfred Schroeder touched many different areas within acoustics. Two disciplines repeatedly show up when his contributions are characterized: his strong interest in mathematics and his interest in the perceptual side of acoustics. In this chapter, we focus on the latter. We

Stance and Engagement in Pure Mathematics Research Articles: Linking Discourse Features to Disciplinary Practices

Science.gov (United States)

McGrath, Lisa; Kuteeva, Maria

2012-01-01

Recent ESP research into academic writing has shown how writers convey their stance and interact with readers across different disciplines. However, little research has been carried out into the disciplinary writing practices of the pure mathematics academic community from an ESP genre analysis perspective. This study begins to address this gap by…

Medicinal chemistry matters - a call for discipline in our discipline.

Science.gov (United States)

Johnstone, Craig

2012-06-01

Medicinal chemistry makes a vital contribution to small molecule drug discovery, and the quality of it contributes directly to research effectiveness as well as to downstream costs, speed and survival in development. In recent years, the discipline of medicinal chemistry has evolved and witnessed many noteworthy contributions that propose and offer potential improvements to medicinal chemistry practice; however, the impact of these ideas is limited by their acceptance and deployment into every-day activity and, as a result, the quality of medicinal chemistry remains variable. For the good of the industry and the medicinal chemistry discipline, there is a need to move from retrospective learning to prospective control of medicinal chemistry practice to improve cost effectiveness, probability of success and survival rates. Copyright © 2012 Elsevier Ltd. All rights reserved.

STEM Education and Leadership: A Mathematics and Science Partnership Approach

OpenAIRE

Twyford, John; Järvinen, Esa-Matti

2010-01-01

The issue of attracting more young people to choose careers in science, technology, engineering, and mathematics (STEM) has become critical for the United States. Recent studies by businesses, associations, and education have all agreed that the United States’ performance in the STEM disciplines have placed our nation in grave risk of relinquishing its competitive edge in the marketplace (e.g., Rising above the gathering storm, 2007). A Congressional Research Service (2006) report stated that...

Studies in Mathematics, Volume X. Applied Mathematics in the High School.

Science.gov (United States)

Schiffer, Max M.

This publication contains a sequence of lectures given to high school mathematics teachers by the author. Applications of mathematics emphasized are elementary algebra, geometry, and matrix algebra. Included are: (1) an introduction concerning teaching applications of mathematics; (2) Chapter 1: Mechanics for the High School Student; (3) Chapter…

Archival Discipline in Dewey Decimal Classification

Directory of Open Access Journals (Sweden)

Laura Manzoni

2017-05-01

Full Text Available This paper regards the ways archival discipline is treated in DDC. After a short introduction about the discipline in Italy, the essay focuses on the analysis of division 020 of DDC 23, with specific attention to section 025 and with punctual reference to section 651, concerning archival material. The aim of the paper is to point out archival discipline’s peculiarities and its differences from library science, as well as underlining the critical issues on how this discipline is handled in DDC.

Developing a Learning Progression for Curriculum, Instruction, and Student Learning: An Example from Mathematics Education

Science.gov (United States)

Fonger, Nicole L.; Stephens, Ana; Blanton, Maria; Isler, Isil; Knuth, Eric; Gardiner, Angela Murphy

2018-01-01

Learning progressions have been demarcated by some for science education, or only concerned with levels of sophistication in student thinking as determined by logical analyses of the discipline. We take the stance that learning progressions can be leveraged in mathematics education as a form of curriculum research that advances a linked…

Discipline and Punishment: What is the Difference?

OpenAIRE

Telep, Valya Goodwin, 1955-

2009-01-01

This series of lessons was prepared for parents like you - parents who want to do a better job of disciplining their children. The lessons were especially written for parents of preschool children, ages two to six, but some of the discipline methods are appropriate for older children, too. This lesson focuses on the difference between discipline and punishment.

What Were You Thinking? A Deleuzian/Guattarian Analysis of Communication in the Mathematics Classroom

Science.gov (United States)

de Freitas, Elizabeth

2013-01-01

The primary aim of this article is to bring the work of Deleuze and Guattari to bear on the question of communication in the classroom. I focus on the mathematics classroom, where agency and subjectivity are highly regulated by the rituals of the discipline, and where neoliberal psychological frameworks continue to dominate theories of teaching…

Mathematics in energy related research at the Tennessee Valley Authority, at Union Carbide's Oak Ridge Facilities, and at University of Tennessee College of Engineering. Final report

International Nuclear Information System (INIS)

Barett, L.K.

1979-05-01

This report contains a description of the work performed under the Department of Energy Contract No. ER078-S-05-5944 to the University of Tennessee. The major objective of this contract was to survey and to classify a selection of the mathematics used in energy-related activities at the Tennessee Valley Authority (TVA), at Union Carbide's Oak Ridge Facilities (UCORF), and at the University of Tennessee College of Engineering (UTCE). Eighty-seven projects were identified at these organizations in which mathematics plays a significant modeling or problem-solving role. Uniform abstracts of these projects are included in this report, as well as abstracts of twenty-seven presentations by TVA and UCORF personnel on the topic of mathematics in energy research, at the 1978 Fall SIAM meeting. Classifications of these one hundred and fourteen abstracts are given in terms of the energy area or function involved and in terms of the mathematical disciplines used in the activity. Only a selection of the mathematical activity at the TVA, UCORF, and UTCE involved in energy research was obtained due to time and budget constraints. However, it was possible to make some important observations and recommendations based upon these sample data, and these are included in the summary of this report

Experiences of high school Hispanic girls in pursuit of science, technology, engineering, and mathematics-related coursework and careers

Science.gov (United States)

Vijil, Veronica G.

2011-12-01

An overall increased awareness of the importance of science, technology, engineering, and mathematics (STEM) has prompted attention toward the continued underrepresentation of Hispanic women in this field. The purpose of this collective case study was to explore the support systems, perceived barriers, and prior experiences influencing high school Hispanic girls' decisions to pursue advanced coursework and related careers through a career pathway in science, technology, engineering, and mathematics (STEM) areas. Specifically, participants were interviewed regarding their mathematics and science experiences in elementary and middle schools, as well as perceived supports and barriers to their choices to pursue STEM careers and advanced coursework. Results indicated that the participants linked their elementary and middle school experiences with their teachers rather than specific activities. Accolades such as certificates and good grades for academic achievement contributed to the girls' strong self-efficacy at an early age. The participants possessed self-discipline and self-confidence, using intrinsic motivation to pursue their goals. Support systems included families and a few teachers. Barriers were revealed in different forms including derogatory comments by boys in class, difficult curricula with limited tutors available for higher level courses, and receipt of financial assistance to attend a university of their choice.

Mathematics across cultures the history of non-Western mathematics

CERN Document Server

2000-01-01

Mathematics Across Cultures: A History of Non-Western Mathematics consists of essays dealing with the mathematical knowledge and beliefs of cultures outside the United States and Europe. In addition to articles surveying Islamic, Chinese, Native American, Aboriginal Australian, Inca, Egyptian, and African mathematics, among others, the book includes essays on Rationality, Logic and Mathematics, and the transfer of knowledge from East to West. The essays address the connections between science and culture and relate the mathematical practices to the cultures which produced them. Each essay is well illustrated and contains an extensive bibliography. Because the geographic range is global, the book fills a gap in both the history of science and in cultural studies. It should find a place on the bookshelves of advanced undergraduate students, graduate students, and scholars, as well as in libraries serving those groups.

Physical Education & Outdoor Education: Complementary but Discrete Disciplines

Science.gov (United States)

Martin, Peter; McCullagh, John

2011-01-01

The Australian Council for Health, Physical Education and Recreation (ACHPER) includes Outdoor Education (OE) as a component of Physical Education (PE). Yet Outdoor Education is clearly thought of by many as a discrete discipline separate from Physical Education. Outdoor Education has a body of knowledge that differs from that of Physical…

Discrete Mathematics

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...

Discrete Mathematics

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...

Parental views and experiences on child discipline

OpenAIRE

Hlad, Maja

2014-01-01

This thesis is divided in two parts, theoretical and empirical. Theoretical part explains in detail, different methods of disciplining children and ways in which disciplining effects different areas of child development. Furthermore, ways of setting rules and boundaries in a family environment are studied, and disciplinary approaches and ways of reacting towards misbehaving children are examined. Moreover, the theoretical part contains psychological theories about discipline, child behaviour ...

Mathematical physiology

CERN Document Server

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. ...

Parenting classes: focus on discipline.

Science.gov (United States)

Campbell, J M

1992-01-01

Nurses in community settings have an opportunity to provide instruction related to health and life-style needs. An important consideration is the parental role. A particularly controversial and opinion-laden aspect of parenting is disciplining children. Discipline provides children with the security of clearly enforced rules to help them learn self-control and social standards. Parenting classes are worthwhile for people who have little formal or informal preparation. A survey of middle-class elementary school district parents' and childrens' attitudes toward discipline was conducted to develop meaningful parenting classes. Parents' feelings about being a mother or father were surprisingly negative. A parent educational program was developed to cover child growth and development and disciplinary practices. Parent evaluations led to continuation and an expansion of this program to other schools within the area.

Gender Equality in Public Higher Education Institutions of Ethiopia: The Case of Science, Technology, Engineering, and Mathematics

Science.gov (United States)

Egne, Robsan Margo

2014-01-01

Ensuring gender equality in higher education system is high on the agenda worldwide particularly in science disciplines. This study explores the problems and prospects of gender equality in public higher education institutions of Ethiopia, especially in science, technology, engineering, and mathematics. Descriptive survey and analytical research…

The Language of Mathematics: The Importance of Teaching and Learning Mathematical Vocabulary

Science.gov (United States)

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…

Different Strokes for Different Folks: Visual Presentation Design between Disciplines.

Science.gov (United States)

Gomez, S R; Jianu, R; Ziemkiewicz, C; Guo, Hua; Laidlaw, D H

2012-12-01

We present an ethnographic study of design differences in visual presentations between academic disciplines. Characterizing design conventions between users and data domains is an important step in developing hypotheses, tools, and design guidelines for information visualization. In this paper, disciplines are compared at a coarse scale between four groups of fields: social, natural, and formal sciences; and the humanities. Two commonplace presentation types were analyzed: electronic slideshows and whiteboard "chalk talks". We found design differences in slideshows using two methods - coding and comparing manually-selected features, like charts and diagrams, and an image-based analysis using PCA called eigenslides. In whiteboard talks with controlled topics, we observed design behaviors, including using representations and formalisms from a participant's own discipline, that suggest authors might benefit from novel assistive tools for designing presentations. Based on these findings, we discuss opportunities for visualization ethnography and human-centered authoring tools for visual information.

Special Aspects of Learning Objectives Design for Disciplines in Engineering Education

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Yu. B. Tsvetkov

2015-01-01

Full Text Available The article is devoted to a problem of learning objectives design for disciplines in engineering education. It is shown that the system of well defined objectives can form a basis of discipline content analysis, acquisition control and improvement.The detailed defining of clear objectives and designing forms and content of objectives which allow to estimate their achievement are considered.For this purpose the objectives should consider the level of learners, to designate result which they will be able to show after training, conditions and how well they will be able to make it.Some examples of objective formulations are provided which allow to show in an explicit form the results reached by a learner.It is shown that cognitive process dimension can be divided into groups of initial level of thinking (to remember, understand, apply and thinking of high level (to analyze, estimate, create.Thus knowledge dimension include the factual, conceptual, procedural and metacognitive knowledges.On the basis of cognitive process dimension and knowledge dimension in engineering education it is offered to form system of learning objectives on the basis of their twodimensional classification - taxonomy.Objectives examples for engineering discipline are given. They consider conditions of their achievement and criteria of execution for various combinations of cognitive process dimension and levels of knowledge dimension.For some engineering disciplines examples of learning objectives are formulated including their achievement and criterion of execution of the corresponding actions.The given results can form a basis for design of learning objectives at realization of a competence approach in modern engineering education.Further work in this direction preplan the analysis and approbation of two-dimensional matrix applicability for objectives design on examples of various engineering disciplines.It is of profound importance to use matrixes of well defined

Sociocultural context as a facilitator of student learning of function concepts in mathematics

Directory of Open Access Journals (Sweden)

Evangelina Díaz Obando

2016-03-01

Full Text Available In Costa Rica, many secondary students have serious difficulties to establish relationships between mathematics and real-life contexts. They question the utilitarian role of the school mathematics. This fact motivated the research object of this report which evidences the need to overcome methodologies unrelated to students’ reality, toward new didactical options that help students to value mathematics, reasoning and its  applications, connecting it with their socio-cultural context. The research used a case study as a qualitative methodology and the social constructivism as an educational paradigm in which the knowledge is built by the student; as a product of his social interactions. A collection of learning situations was designed, validated, and implemented. It allowed establishing relationships between mathematical concepts and the socio-cultural context of participants. It analyzed the impact of students’socio-cultural context in their mathematics learning of basic concepts of real variable functions, consistent with the Ministry of Education (MEP Official Program.  Among the results, it was found that using students’sociocultural context improved their motivational processes, mathematics sense making, and promoted cooperative social interactions. It was evidenced that contextualized learning situations favored concepts comprehension that allow students to see mathematics as a discipline closely related with their every-day life.

77 FR 52887 - Regulatory Capital Rules: Standardized Approach for Risk-Weighted Assets; Market Discipline and...

Science.gov (United States)

2012-08-30

... Discipline and Disclosure Requirements; Proposed Rule #0;#0;Federal Register / Vol. 77 , No. 169 / Thursday... Assets; Market Discipline and Disclosure Requirements AGENCY: Office of the Comptroller of the Currency... Approach NPR) includes proposed changes to the agencies' general risk-based capital requirements for...

Early Childhood Discipline: A Review of the Literature

Science.gov (United States)

Firmin, Michael W.; Castle, Sally L.

2008-01-01

In this literature review concerning early childhood discipline we particularly highlight American children's discipline with respect to historical perspectives, generational theories, gender issues, parental styles, methods of discipline, and corporal punishment. We also address corporal punishment's history, the debate among experts, beliefs and…

Mathematical Model of Two Phase Flow in Natural Draft Wet-Cooling Tower Including Flue Gas Injection

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Hyhlík Tomáš

2016-01-01

Full Text Available The previously developed model of natural draft wet-cooling tower flow, heat and mass transfer is extended to be able to take into account the flow of supersaturated moist air. The two phase flow model is based on void fraction of gas phase which is included in the governing equations. Homogeneous equilibrium model, where the two phases are well mixed and have the same velocity, is used. The effect of flue gas injection is included into the developed mathematical model by using source terms in governing equations and by using momentum flux coefficient and kinetic energy flux coefficient. Heat and mass transfer in the fill zone is described by the system of ordinary differential equations, where the mass transfer is represented by measured fill Merkel number and heat transfer is calculated using prescribed Lewis factor.

Impact of Interdisciplinary Undergraduate Research in mathematics and biology on the development of a new course integrating five STEM disciplines.

Science.gov (United States)

Caudill, Lester; Hill, April; Hoke, Kathy; Lipan, Ovidiu

2010-01-01

Funded by innovative programs at the National Science Foundation and the Howard Hughes Medical Institute, University of Richmond faculty in biology, chemistry, mathematics, physics, and computer science teamed up to offer first- and second-year students the opportunity to contribute to vibrant, interdisciplinary research projects. The result was not only good science but also good science that motivated and informed course development. Here, we describe four recent undergraduate research projects involving students and faculty in biology, physics, mathematics, and computer science and how each contributed in significant ways to the conception and implementation of our new Integrated Quantitative Science course, a course for first-year students that integrates the material in the first course of the major in each of biology, chemistry, mathematics, computer science, and physics.

First-generation Korean-American parents' perceptions of discipline.

Science.gov (United States)

Kim, Eunjung; Hong, Seunghye

2007-01-01

Nurses not only need to be familiar with professional guidelines of discipline and but also need to be aware of variances in styles of acceptable discipline across cultural groups. The goal of this study was to explore cultural influences in relation to (1) first-generation Korean-American parents' perceptions of common discipline strategies in the United States, and (2) discipline strategies commonly used among first-generation Korean-American parents. Inductive content analysis was used to analyze interview data from seven first-generation Korean-American parents. Derived themes indicated that parents considered spanking/hitting and less hugging/kissing as Korean style, and time-out, use of sticker charts, hugging/kissing, removing/adding privileges, and giving chores as American style. Recent immigrant parents were not familiar with common positive discipline strategies in the United States. As they adapted to mainstream society, they discontinued what they perceived to be negative aspects of Korean style and adopted positive aspects of American style. They were sensitive to children's views on discipline, and they experienced communication difficulties with children. These findings indicated that Korean-American parents' perceptions of discipline strategies were shaped by living in two cultures and were different from western viewpoints.

Improving Mathematics Teaching in Kindergarten with Realistic Mathematical Education

Science.gov (United States)

Papadakis, Stamatios; Kalogiannakis, Michail; Zaranis, Nicholas

2017-01-01

The present study investigates and compares the influence of teaching Realistic Mathematics on the development of mathematical competence in kindergarten. The sample consisted of 231 Greek kindergarten students. For the implementation of the survey, we conducted an intervention, which included one experimental and one control group. Children in…

Are Students' Learning Styles Discipline Specific?

Science.gov (United States)

Jones, Cheryl; Reichard, Carla; Mokhtari, Kouider

2003-01-01

This study examines the extent to which community college students' learning style preferences vary as a function of discipline. Reports significant differences in students' learning style preferences across disciplines, but not by gender. Adds that student learning style preferences varied by academic performance as measured by gender. Discusses…

Handbook of mathematics

CERN Document Server

Kuipers, L

1969-01-01

International Series of Monographs in Pure and Applied Mathematics, Volume 99: Handbook of Mathematics provides the fundamental mathematical knowledge needed for scientific and technological research. The book starts with the history of mathematics and the number systems. The text then progresses to discussions of linear algebra and analytical geometry including polar theories of conic sections and quadratic surfaces. The book then explains differential and integral calculus, covering topics, such as algebra of limits, the concept of continuity, the theorem of continuous functions (with examp

An American Imperative: Transforming the Recruitment, Retention, and Renewal of Our Nation's Mathematics and Science Teaching Workforce

Science.gov (United States)

Business-Higher Education Forum (NJ1), 2007

2007-01-01

American students today have limited interest in studying mathematics and science, and academic achievement in these two foundational disciplines is demonstrably low. This reality poses an acute challenge to our ability to keep American society intellectually vibrant and to ensure that our economy is globally competitive. This Business-Higher…

Mathematical physics

CERN Document Server

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

Technology Comprehension - Scaling Making into a National Discipline

DEFF Research Database (Denmark)

Tuhkala, Ari; Nielsen, Nick; Wagner, Marie-Louise

2018-01-01

, surveys, and a theme discussion with experienced teachers from the 13 schools. The main takeaways are: First, the teachers did not perceive Technology Comprehension as a distinguished discipline, which calls for more research on how Making is scaled into a national discipline. Second, Technology......We account for the first research results from a government initiated experiment that scales Making to a national discipline. The Ministry of Education, in Denmark, has introduced Technology Comprehension as a new discipline for lower secondary education. Technology Comprehension is first...... Comprehension opens up for interdisciplinary and engaging learning activities, but teachers need scaffolding and support to actualise these opportunities. Third, Technology Comprehension challenges teachers’ existing competencies in relation to the discipline and students’ prerequisites and needs. Teachers need...

Producing "Docile Bodies": Disciplining Citizen-Subjects

Science.gov (United States)

Stewart, Dafina-Lazarus

2017-01-01

The US academy has been anti-democratic in philosophy and practice from its inception, seeking to discipline students as docile bodies cooperative with a white supremacist status quo. This Foucauldian analysis highlights how the academy's historical and ongoing enforcement of discipline and normalizing judgments made the outcome of the 2016 US…

Mathematical Sciences Institute Workshop

CERN Document Server

Scott, Philip

1990-01-01

A so-called "effective" algorithm may require arbitrarily large finite amounts of time and space resources, and hence may not be practical in the real world. A "feasible" algorithm is one which only requires a limited amount of space and/or time for execution; the general idea is that a feasible algorithm is one which may be practical on today's or at least tomorrow's computers. There is no definitive analogue of Church's thesis giving a mathematical definition of feasibility; however, the most widely studied mathematical model of feasible computability is polynomial-time computability. Feasible Mathematics includes both the study of feasible computation from a mathematical and logical point of view and the reworking of traditional mathematics from the point of view of feasible computation. The diversity of Feasible Mathematics is illustrated by the. contents of this volume which includes papers on weak fragments of arithmetic, on higher type functionals, on bounded linear logic, on sub recursive definitions ...

Mathematics in India

CERN Document Server

Plofker, Kim

2009-01-01

Based on extensive research in Sanskrit sources, Mathematics in India chronicles the development of mathematical techniques and texts in South Asia from antiquity to the early modern period. Kim Plofker reexamines the few facts about Indian mathematics that have become common knowledge--such as the Indian origin of Arabic numerals--and she sets them in a larger textual and cultural framework. The book details aspects of the subject that have been largely passed over in the past, including the relationships between Indian mathematics and astronomy, and their cross-fertilizations with Islamic sc

If I shouldn't spank, what should I do? Behavioural techniques for disciplining children.

Science.gov (United States)

Tidmarsh, L

2000-05-01

To provide family physicians with a guide for evaluating discipline problems, giving suggestions for parental guidance, and diagnosing problems when discipline guidance fails. A MEDLINE and PsycINFO search from 1990 to the present produced articles reviewing research on aspects of discipline. Case-control studies, expert opinion, and position statements published by the American Academy of Pediatrics and the Canadian Paediatric Society were chosen as a basis for this article. In a special supplement in 1996, a pediatric journal reviewed the controversy of spanking as an effective disciplinary method, with comments by noted researchers and clinicians. Other authors reviewed research evaluating discipline techniques. Discipline problems require evaluation of children, parents, and parent-child relationships, including assessment of child development and evaluation of parenting skills and parental stressors. Parents can learn techniques more effective than spanking. Physicians can review discipline strategies and guide parents through difficult situations. Monitoring progress is important, and immediate reassessment of the situation if techniques are failing or referral to a specialist will increase the chances of a successful intervention. Discipline problems are complex and require careful assessment. Guiding parents during these types of problems requires close follow up and reevaluation when methods do not have the expected effect.

Developing teaching material based on realistic mathematics andoriented to the mathematical reasoning and mathematical communication

Directory of Open Access Journals (Sweden)

Fitria Habsah

2017-05-01

Full Text Available This research aims to produce mathematics textbook for grade VII junior high school students based on realistic mathematics and oriented to the mathematical reasoning and mathematical communication. The quality is determined based on Nieveen criteria, including validity, practicality, and effectiveness.This study was a research and development and used Borg & Gall model. The subject of this research were the students of SMPN 2 Pujon-Kabupaten Malang, that is 30 students in an experimental class (using the developed textbook and 29 students in a control class (using BSE book from the government. The teaching material was categorized valid if the expert's judgment at least is categorized as “good”. The teaching material was categorized practical if both of teachers and students assessment at least categorized as “good”. The teaching material was categorized effectively if minimum 75% of student scores at least is categorized as “good” for the mathematical reasoning test and mathematical communication test. This research resulted in a valid, practical, and effective teaching material. The resulted of the validation show that material teaching is valid. The resulted of teachers and students assessment show that the product is practical. The tests scores show that the product is effective. Percentage of students who categorized at least as “good” is 83,33% for the mathematical reasoning and 86,67% for the mathematical communication. The resulted of statistic test shows that the product more effective than the BSE book from the government in terms of mathematical reasoning and mathematical communication.

Mathematics for energy

International Nuclear Information System (INIS)

Snow, D.R.

1975-01-01

This paper provides mathematicians and other persons interested in energy problems with some ideas of the kinds of mathematics being applied and a few ideas for further investigation both in the relevant mathematics and in mathematical modeling. This paper is not meant to be an extensive bibliography on the subject, but references are provided. The Conference emphasized large scale and economic considerations related to energy rather than specific technologies, but additional mathematical problems arising in current and future technologies are suggested. Several of the papers dealt with linear programming models of large scale systems related to energy. These included economic models, policy models, energy sector models for supply and demand and environmental concerns. One of the economic models utilized variational techniques including such things as the Hamiltonian, the Euler-Lagrange differential equation, transversality and natural boundary conditions

Mathematics for physical chemistry

CERN Document Server

Mortimer, Robert G

2013-01-01

Mathematics for Physical Chemistry is the ideal supplementary text for practicing chemists and students who want to sharpen their mathematics skills while enrolled in general through physical chemistry courses. This book specifically emphasizes the use of mathematics in the context of physical chemistry, as opposed to being simply a mathematics text. This 4e includes new exercises in each chapter that provide practice in a technique immediately after discussion or example and encourage self-study. The early chapters are constructed around a sequence of mathematical topics, wit

Mathematics unbound

CERN Document Server

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...

Modern Versus Traditional Mathematics

Science.gov (United States)

Roberts, A. M.

1974-01-01

The effect of different secondary school mathematics syllabi on first-year performance in college-level mathematics was studied in an attempt to evaluate the syllabus change. Students with a modern mathematics background performed sigficantly better on most first-year units. A topic-by-topic analysis of results is included. (DT)

Lessons Learned by Comparing On-line Education Strategies Across Disciplines

Directory of Open Access Journals (Sweden)

Stephen H. Edwards

2004-12-01

Full Text Available When choosing how best to employ educational technologies for on-line learning, there is much to be gained by examining the experience of educators in other disciplines. This paper presents four brief case studies in the disciplines of computer science and social work. Lessons learned by comparing these diverse experiences are discussed, including creating a community of learners, supporting asynchronous student communication, using synchronous on-line meetings, and providing social support. In addition, the experiences presented indicate that stereotypes of student capabilities and expectations may often be inaccurate, and revising one's views may be helpful in achieving better results in on-line education.

Early clinical assessment for harsh child discipline strategies.

Science.gov (United States)

Gaffney, Kathleen F; Barndt-Maglio, Bonnie; Myers, Sue; Kollar, Shelley J

2002-01-01

To examine the relationships among four maternal variables: 1) prenatal report of discipline expectant mothers received when they were children, 2) prenatal intentions for disciplining one's own child, 3) report of intended child discipline strategies when infant is 8 months old, and 4) observed maternal role sufficiency behaviors. Replication and extension study; 3-wave prospective longitudinal design. The procedure consisted of prenatal clinic interviews in which women (N = 185) reported how their mothers handled specific child behaviors and how they intended to handle the same behaviors with their children. During a home visit when their babies were 8 months old, the mothers (n = 126) were again asked how they intended to handle these behaviors, and observations were made of maternal role sufficiency behaviors. Correlation and regression analyses were performed with data generated from an adaptation of the Ways of Handling Irritating Behavior scale, the NCAST Teaching Scale, and the HOME scale. A significant relationship was found between mothers' prenatal reports of discipline received as a child and prenatal reports of intentions for disciplining their own children. For mothers of infants, reported intentions for future child discipline strategies were predicted by their prenatal reports. Mothers with clinically at-risk scores on the NCAST Teaching Scale and HOME scale reported more intended harsh child discipline strategies than those not at-risk. Assessment for harsh, nonnurturing child discipline strategies during prenatal and well-baby health maintenance checks may assist in uncovering "red flags" for early intervention to reduce the risk of later child abuse and neglect.

The nature of mathematics

CERN Document Server

Jourdain, Philip E B

2007-01-01

Anyone with an interest in mathematics will welcome the republication of this little volume by a remarkable mathematician who was also a logician, a philosopher, and an occasional writer of fiction and poetry. Originally published in 1913, and later included in the acclaimed anthology The World of Mathematics, Jourdain's survey shows how and why the methods of mathematics were developed, traces the development of mathematical science from the earliest to modern times, and chronicles the application of mathematics to natural science.Starting with the ancient Egyptians and Greeks, the author p

Fundamental concepts of mathematics

CERN Document Server

Goodstein, R L

Fundamental Concepts of Mathematics, 2nd Edition provides an account of some basic concepts in modern mathematics. The book is primarily intended for mathematics teachers and lay people who wants to improve their skills in mathematics. Among the concepts and problems presented in the book include the determination of which integral polynomials have integral solutions; sentence logic and informal set theory; and why four colors is enough to color a map. Unlike in the first edition, the second edition provides detailed solutions to exercises contained in the text. Mathematics teachers and people

Cosmic Rays Astrophysics: The Discipline, Its Scope, and Its Applications

Science.gov (United States)

Barghouty, A. F.

2009-01-01

This slide presentation gives an overview of the discipline surrounding cosmic ray astrophysics. It includes information on recent assertions surrounding cosmic rays, exposure levels, and a short history with specific information on the origin, acceleration, transport, and modulation of cosmic rays.

TBCC Discipline Overview. Hypersonics Project

Science.gov (United States)

Thomas, Scott R.

2011-01-01

The "National Aeronautics Research and Development Policy" document, issued by the National Science and Technology Council in December 2006, stated that one (among several) of the guiding objectives of the federal aeronautics research and development endeavors shall be stable and long-term foundational research efforts. Nearly concurrently, the National Academies issued a more technically focused aeronautics blueprint, entitled: the "Decadal Survey of Civil Aeronautics - Foundations for the Future." Taken together these documents outline the principles of an aeronautics maturation plan. Thus, in response to these overarching inputs (and others), the National Aeronautics and Space Administration (NASA) organized the Fundamental Aeronautics Program (FAP), a program within the NASA Aeronautics Research Mission Directorate (ARMD). The FAP initiated foundational research and technology development tasks to enable the capability of future vehicles that operate across a broad range of Mach numbers, inclusive of the subsonic, supersonic, and hypersonic flight regimes. The FAP Hypersonics Project concentrates on two hypersonic missions: (1) Air-breathing Access to Space (AAS) and (2) the (Planetary Atmospheric) Entry, Decent, and Landing (EDL). The AAS mission focuses on Two-Stage-To-Orbit (TSTO) systems using air-breathing combined-cycle-engine propulsion; whereas, the EDL mission focuses on the challenges associated with delivering large payloads to (and from) Mars. So, the FAP Hypersonic Project investments are aligned to achieve mastery and intellectual stewardship of the core competencies in the hypersonic-flight regime, which ultimately will be required for practical systems with highly integrated aerodynamic/vehicle and propulsion/engine technologies. Within the FAP Hypersonics, the technology management is further divided into disciplines including one targeting Turbine-Based Combine-Cycle (TBCC) propulsion. Additionally, to obtain expertise and support from outside

Using Technology to Promote Mathematical Discourse Concerning Women in Mathematics

Science.gov (United States)

Phy, Lyn

2008-01-01

This paper discusses uses of technology to facilitate mathematical discourse concerning women in mathematics. Such a topic can be introduced in various traditional courses such as algebra, geometry, trigonometry, probability and statistics, or calculus, but it is not included in traditional textbooks. Through the ideas presented here, you can…

Logical studies of paraconsistent reasoning in science and mathematics

CERN Document Server

Verdée, Peter

2016-01-01

This book covers work written by leading scholars from different schools within the research area of paraconsistency. The authors critically investigate how contemporary paraconsistent logics can be used to better understand human reasoning in science and mathematics. Offering a variety of perspectives, they shed a new light on the question of whether paraconsistent logics can function as the underlying logics of inconsistent but useful scientific and mathematical theories. The great variety of paraconsistent logics gives rise to various, interrelated questions, such as what are the desiderata a paraconsistent logic should satisfy, is there prospect of a universal approach to paraconsistent reasoning with axiomatic theories, and to what extent is reasoning about sets structurally analogous to reasoning about truth. Furthermore, the authors consider paraconsistent logic’s status as either a normative or descriptive discipline (or one which falls in between) and which inconsistent but non-trivial axiomatic th...

Mathematical psychology.

Science.gov (United States)

Batchelder, William H

2010-09-01

Mathematical psychology is a sub-field of psychology that started in the 1950s and has continued to grow as an important contributor to formal psychological theory, especially in the cognitive areas of psychology such as learning, memory, classification, choice response time, decision making, attention, and problem solving. In addition, there are several scientific sub-areas that were originated by mathematical psychologists such as the foundations of measurement, stochastic memory models, and psychologically motivated reformulations of expected utility theory. Mathematical psychology does not include all uses of mathematics and statistics in psychology, and indeed there is a long history of such uses especially in the areas of perception and psychometrics. What is most unique about mathematical psychology is its approach to theory construction. While accepting the behaviorist dictum that the data in psychology must be observable and replicable, mathematical models are specified in terms of unobservable formal constructs that can predict detailed aspects of data across multiple experimental and natural settings. By now almost all the substantive areas of cognitive and experimental psychology have formal mathematical models and theories, and many of these are due to researchers that identify with mathematical psychology. Copyright © 2010 John Wiley & Sons, Ltd. For further resources related to this article, please visit the WIREs website. Copyright © 2010 John Wiley & Sons, Ltd.

The role of values in school discipline

Directory of Open Access Journals (Sweden)

J. de Klerk

2003-08-01

Full Text Available Despite the fact that the Constitution of South Africa uses language that could be described as “value-language”, our country is experiencing an intense moral crisis. There is an urgent need to establish ways of finding answers to the value crisis in South Africa. Morality has been and is part of education. In this article the relationship between values, education and discipline is addressed from a Biblically-based (in this case, reformational perspective. The teacher as secondary educator plays an important role in the establishment of values among learners. The Department of Education has made clear its intention to establish values in schools in its Manifesto on Values, Education and Democracy. The values emphasised in this document concur with the ideals of nation-building in the new democratic South Africa. Unfortunately, the absence of discipline and self-discipline among learners and educators implies that these ideals cannot be realised. The main cause of discipline problems can possibly be ascribed to the absence of a value system rooted in a specific life and worldview, for without such a perspective the management of discipline problems can only be symptomatic.

Wetenschapsgeschiedenis op lange termijn: flexibiliteit en fragiliteit van disciplines

Directory of Open Access Journals (Sweden)

Daan Wegener

2011-03-01

Full Text Available Long-term history of science: on the flexibility and fragility of scientific disciplinesMost scientific disciplines, such as chemistry, biology and physics, are now about two centuries old. Using physics as a case study the present paper aims to account for this longevity. What kept the physics discipline together from the early nineteenth century onwards? Literature on the rise of physics suggests that the discipline was formed around energy, the ether, or other theoretical notions. Yet the twentieth-century revolutions in physics showed that the discipline could prosper without some of its most 'fundamental' concepts. Some scholars conclude that internal factors are therefore irrelevant and disciplinary identity and continuity are purely institutional. Drawing on the work of Thomas Kuhn, Peter Galison and Andrew Warwick, this paper defends a different point of view. Although there is no intellectual core of disciplines, the prolonged existence of disciplines cannot be explained without some degree of internal continuity. If there is a revolution of a theoretical level, there may still be continuity on the level of experimental practices (and vice versa. It is this flexibility that accounts for the fact that disciplines may adapt to different circumstances. In addition, an educational tradition is required to transmit knowledge from one generation to the next.

Utilization of mathematics amongst healthcare students towards problem solving during their occupational safety health internship

Science.gov (United States)

Umasenan a/l Thanikasalam

2017-05-01

Occupational safety health is a multidisciplinary discipline concentrating on the safety, health and welfare of workers in the working place. Healthcare Students undergoing Occupational Safety Health internships are required to apply mathematical in areas such as safety legislation, safety behavior, ergonomics, chemical safety, OSH practices, industrial hygiene, risk management and safety health practices as problem solving. The aim of this paper is to investigate the level of mathematics and logic utilization from these students during their internship looking at areas of Hazard identification, Determining the population exposed to the hazard, Assessing the risk of the exposure to the hazards and Taking preventive and control. A total of 142 returning healthcare students from their Occupational Safety Health, internship were given a questionnaire to measure their perceptions towards mathematical and logic utilization. The overall results indicated a strong positive skewed result towards the use of Mathematics during their internship. The findings showed that mathematics were well delivered by the students during their internship. Mathematics could not be separated from OSH practice as a needed precision in quantifying safety, health an d welfare of workers in addition to empiricism.

An introduction to mathematical cryptography

CERN Document Server

Hoffstein, Jeffrey; Silverman, Joseph H

2014-01-01

This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems. Only basic linear algebra is required of the reader; techniques from algebra, number theory, and probability are introduced and developed as required. This text provides an ideal introduction for mathematics and computer science students to the mathematical foundations of modern cryptography. The book includes an extensive bibliography and index; supplementary materials are available online. The book covers a variety of topics that are considered central to mathematical cryptography. Key topics include: classical cryptographic constructions, such as Diffie–Hellmann key exchange, discrete logarithm-based cryptosystems, the RSA cryptosystem, and digital signatures; fundamental mathematical tools for cr...

Mathematical Lens: How Much Can You Bench?

Science.gov (United States)

Bolognese, Chris A.

2013-01-01

"How Much Can You Bench?" appears in the "Mathematical Lens" section of "Mathematics Teacher." "Mathematical Lens" uses photographs as a springboard for mathematical inquiry and appears in every issue of "Mathematics Teacher." This month the mathematics behind the photograph includes finding areas…

Mathematics for the nonmathematician

CERN Document Server

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.

Winning the Popularity Contest: Researcher Preference When Selecting Resources for Civil Engineering, Computer Science, Mathematics and Physics Dissertations

Science.gov (United States)

Dotson, Daniel S.; Franks, Tina P.

2015-01-01

More than 53,000 citations from 609 dissertations published at The Ohio State University between 1998-2012 representing four science disciplines--civil engineering, computer science, mathematics and physics--were examined to determine what, if any, preferences or trends exist. This case study seeks to identify whether or not researcher preferences…

A mathematical approach to research problems of science and technology theoretical basis and developments in mathematical modeling

CERN Document Server

Ei, Shin-ichiro; Koiso, Miyuki; Ochiai, Hiroyuki; Okada, Kanzo; Saito, Shingo; Shirai, Tomoyuki

2014-01-01

This book deals with one of the most novel advances in mathematical modeling for applied scientific technology, including computer graphics, public-key encryption, data visualization, statistical data analysis, symbolic calculation, encryption, error correcting codes, and risk management. It also shows that mathematics can be used to solve problems from nature, e.g., slime mold algorithms. One of the unique features of this book is that it shows readers how to use pure and applied mathematics, especially those mathematical theory/techniques developed in the twentieth century, and developing now, to solve applied problems in several fields of industry. Each chapter includes clues on how to use "mathematics" to solve concrete problems faced in industry as well as practical applications. The target audience is not limited to researchers working in applied mathematics and includes those in engineering, material sciences, economics, and life sciences.

Challenges and Opportunities for Establishing Design as a Research Discipline in Civil and Environmental Engineering

DEFF Research Database (Denmark)

Thompson, Mary Kathryn

2013-01-01

faculty, research and education communities, conferences, and journals. However, design remains an emerging sub-discipline in civil and environmental engineering – practiced, valued, and taught but not subject to rigorous academic research. This paper presents some of the challenges associated...... with the establishment of design as a research discipline within civil and environmental engineering, some of the benefits and opportunities that will come from that establishment, and some evidence for the fact that this process has already begun.......There are a number of fields including architecture, industrial design, and urban planning and design, where design is the discipline upon which all research and teaching activities are based. In other fields such as aerospace and mechanical engineering, design is a sub-discipline with its own...

Adopted Children and Discipline

Science.gov (United States)

... Family Dynamics > Adoption & Foster Care > Adopted Children & Discipline Family Life ... are the reasons for these patterns of parental inaction? Some adoptive parents are afraid their youngster might stop loving ...

CONNECTION OF FUNCTIONAL ABILITIES WITH JUMPING AND THROWING ATHLETIC DISCIPLINES

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Igor Stanojević

2014-06-01

Full Text Available The aim of this study was to determine the connection between functional abilities with results of jumping and throwing athletic disciplines with athletes. The sample was taken from a population of elementary school students from Prokuplje region, 13 and 14 old, included in regular physical education classes. The sample consisted of 200 male athletes involved in the training process in sports clubs at least three times a week in addition to physical education classes. For assessment of functional abilities six functional tests were used: resting heart rate, Cooper test, heart rate in the first minute after Cooper test, heart rate in the second minute after Cooper test, systolic arterial blood pressure, diastolic arterial blood pressure. For assessment of jumping and throwing athletic disciplines four tests were used: long jump, high jump, shot put and javelin. Data analysis was performed with canonical correlation and regression analysis. The results showed a statistically significant correlation between functional abilities with all of tests in jumping and throwing athletic disciplines.

How students learn to coordinate knowledge of physical and mathematical models in cellular physiology

Science.gov (United States)

Lira, Matthew

This dissertation explores the Knowledge in Pieces (KiP) theory to account for how students learn to coordinate knowledge of mathematical and physical models in biology education. The KiP approach characterizes student knowledge as a fragmented collection of knowledge elements as opposed to stable and theory-like knowledge. This dissertation sought to use this theoretical lens to account for how students understand and learn with mathematical models and representations, such as equations. Cellular physiology provides a quantified discipline that leverages concepts from mathematics, physics, and chemistry to understand cellular functioning. Therefore, this discipline provides an exemplary context for assessing how biology students think and learn with mathematical models. In particular, the resting membrane potential provides an exemplary concept well defined by models of dynamic equilibrium borrowed from physics and chemistry. In brief, membrane potentials, or voltages, "rest" when the electrical and chemical driving forces for permeable ionic species are equal in magnitude but opposite in direction. To assess students' understandings of this concept, this dissertation employed three studies: the first study employed the cognitive clinical interview to assess student thinking in the absence and presence of equations. The second study employed an intervention to assess student learning and the affordances of an innovative assessment. The third student employed a human-computer-interaction paradigm to assess how students learn with a novel multi-representational technology. Study 1 revealed that students saw only one influence--the chemical gradient--and that students coordinated knowledge of only this gradient with the related equations. Study 2 revealed that students benefited from learning with the multi-representational technology and that the assessment detected performance gains across both calculation and explanation tasks. Last, Study 3 revealed how students

Beneath the numbers: A review of gender disparities in undergraduate education across science, technology, engineering, and math disciplines

Science.gov (United States)

Eddy, Sarah L.; Brownell, Sara E.

2016-12-01

[This paper is part of the Focused Collection on Gender in Physics.] This focused collection explores inequalities in the experiences of women in physics. Yet, it is important for researchers to also be aware of and draw insights from common patterns in the experiences of women across science, technology, engineering and mathematics (STEM) disciplines. Here, we review studies on gender disparities across college STEM on measures that have been correlated with retention. These include disparities in academic performance, engagement, self-efficacy, belonging, and identity. We argue that observable factors such as persistence, performance, and engagement can inform researchers about what populations are disadvantaged in a STEM classroom or program, but we need to measure underlying mechanisms to understand how these inequalities arise. We present a framework that helps connect larger sociocultural factors, including stereotypes and gendered socialization, to student affect and observable behaviors in STEM contexts. We highlight four mechanisms that demonstrate how sociocultural factors could impact women in STEM classrooms and majors. We end with a set of recommendations for how we can more holistically evaluate the experiences of women in STEM to help mitigate the underlying inequities instead of applying a quick fix.

Interrupting the Psy-Disciplines in Education

DEFF Research Database (Denmark)

to influence education, both regulating and shaping behaviour and morality. The book provides insight into different educational contexts and concerns across a child’s educational lifespan; early childhood education, inclusive education, special education, educational leadership, social media, university......This book offers critical explorations of how the psy-disciplines, Michel Foucault’s collective term for psychiatry, psychology and psycho-analysis, play out in contemporary educational spaces. With a strong focus on Foucault’s theories, it critically investigates how the psy-disciplines continue......, and beyond to enable reflection and critique of the implications of psy-based knowledge and practice. With chapters by a mixture of established and emerging international scholars in the field this is an interdisciplinary and authoritative study into the role of the psy-disciplines in the education system...

Digital game based learning: A new method in teaching and learning mathematics

Science.gov (United States)

Hussain, Sayed Yusoff bin Syed; Hoe, Tan Wee; Idris, Muhammad Zaffwan bin

2017-05-01

Digital game-based learning (DGBL) had been regarded as a sound learning strategy in raising pupils' willingness and interest in many disciplines. Normally, video and digital games are used in the teaching and learning mathematics. based on literature, digital games have proven its capability in making pupils motivated and are more likely to contribute to effective learning mathematics. Hence this research aims to construct a DGBL in the teaching of Mathematics for Year 1 pupils. Then, a quasi-experimental study was carried out in a school located in Gua Musang, Kelantan, involving 39 pupils. Specifically, this article tests the effectiveness of the use of DGBL in the teaching of the topic Addition of Less than 100 on pupil's achievement. This research employed a quasi-experiment, Pre and Post Test of Non-equivalent Control Group design. The data were analysed using the Nonparametric test namely the Mann-Whitney U. The research finding shows the use of the DGBL could increase the pupils' achievement in the topic of Addition of Less than 100. In practice, this research indicates that the DBGL can utilized as an alternative reference strategy for Mathematics teacher.

Environmental adversity and children's early trajectories of problem behavior: The role of harsh parental discipline.

Science.gov (United States)

Flouri, Eirini; Midouhas, Emily

2017-03-01

This study was performed to examine the role of harsh parental discipline in mediating and moderating the effects of environmental adversity (family socioeconomic disadvantage and adverse life events) on emotional and behavioral problems across early-to-middle childhood. The sample included 16,916 children (48% female; 24% non-White) from the U.K.'s Millennium Cohort Study. We analyzed trajectories of conduct, hyperactivity, and emotional problems, measured at ages 3, 5, and 7 years, using growth curve models. Harsh parental discipline was measured at these ages with parent-reported items on the frequency of using the physical and verbal discipline tactics of smacking, shouting at, and "telling off" the child. As expected, family socioeconomic disadvantage and adverse life events were significantly associated with emotional and behavioral problems. Harsh parental discipline was related to children's trajectories of problems, and it moderated, but did not explain, the effect of environmental risk on these trajectories. High-risk children experiencing harsh parental discipline had the highest levels of conduct problems and hyperactivity across the study period. In addition, harsh parental discipline predicted an increase in emotional symptoms over time in high-risk children, unseen in their counterparts experiencing low levels of harsh parental discipline. However, children in low-risk families were also negatively affected by harsh parental discipline concurrently and over time. In conclusion, harsh parental discipline predicted emotional and behavioral problems in high- and low-risk children and moderated the effects of family poverty and adversity on these problems. (PsycINFO Database Record (c) 2017 APA, all rights reserved).

Parental discipline behaviours and beliefs about their child: associations with child internalizing and mediation relationships.

Science.gov (United States)

Laskey, B J; Cartwright-Hatton, S

2009-09-01

Internalizing disorders of childhood are a common and disabling problem, with sufferers at increased risk of subsequent psychiatric morbidity. Several studies have found associations between parenting styles and children's internalizing, although few have considered the role of parental discipline. Parental discipline style may exert an effect on children's internalizing symptoms. Anxiety and depression are reliably found to run in families and parental anxiety has been shown to effect parenting behaviour. This study set out to examine the links between parental anxiety, parental discipline style and child internalizing symptoms. Eighty-eight parents of children aged 4-10 years were recruited through primary schools. All parents completed questionnaires including measures relating to: adult anxiety (State-Trait Anxiety Inventory - Trait version, Penn State Worry Questionnaire), parental depression (Beck Depression Inventory - Fastscreen), parental discipline (The Parenting Scale), parenting-related attributions (Parenting Attitudes, Beliefs and Cognitions Scale) and child psychological morbidity (Child Behaviour Checklist 4-18 version). Significant correlations were found between both parental anxiety and child internalizing symptoms with ineffective discipline and negative beliefs about parenting. Particularly strong correlations were found between parental anxiety and child internalizing symptoms with harsh discipline. Parents of anxious/withdrawn children were more likely to hold negative beliefs about their child. The link between parental anxiety and child internalizing symptoms was mediated by harsh discipline. The link between parental anxiety and harsh discipline was mediated by parental beliefs about the child. Discipline style may be an important factor in the relationship between parent anxiety and child internalizing symptoms.

TIMSS 2003: Relating dimensions of mathematics attitude to mathematics achievement

Directory of Open Access Journals (Sweden)

Kadijević Đorđe

2008-01-01

Full Text Available This study, which used a sample of 137,346 students from thirty three countries that participated in the TIMSS 2003 project in the eighth grade, examined the features of the individual and collective relations of three dimensions of mathematics attitude to mathematics achievement (MA, searching for the dimension mostly related to that achievement. The three dimensions of mathematics attitude were self-confidence in learning mathematics (SCLM, liking mathematics (LM and usefulness of mathematics (UM. By utilizing psychometrically valid and reliable measures of the three dimensions, it was found that: (1 each dimension of mathematics attitude alone was positively related to MA for almost all thirty three countries; (2 SCLM was primarily related to MA for thirty one countries; (3 when the two other dimensions were held constant, SCLM was positively related to MA for thirty three countries, LM was negatively related to MA for thirty countries, whereas UM was not related to MA for twenty one countries; (4 positive collective relationships of SCLM, LM and UM to MA considerably varied from country to country. Implications for research and practice are included.

Preschool Children's Expectations for Parental Discipline

OpenAIRE

Graham, Angie Geertsen

1998-01-01

Many factors influence preschool children's expectations for parental discipline. Parent characteristics such as personality, values, social class, and disciplinary methods can affect the expectations children have for parental discipline. Children's ability to understand and interpret parental messages can also influence how they will respond. All of these factors need to be taken into consideration in order for effective communication between parents and children to occur. In this study,...

Teen Court-School Partnerships: Reducing Disproportionality in School Discipline

Science.gov (United States)

Stalker, Katie Cotter

2018-01-01

Reducing disproportionality in school discipline is a grand challenge for school social work. Although the causes of disproportionality in exclusionary school discipline are interrelated and complex, one solution is to introduce alternatives to suspensions and expulsions that discipline students while keeping them engaged in school. The teen court…

Why do early mathematics skills predict later reading? The role of mathematical language.

Science.gov (United States)

Purpura, David J; Logan, Jessica A R; Hassinger-Das, Brenna; Napoli, Amy R

2017-09-01

A growing body of evidence indicates that the development of mathematics and literacy skills is highly related. The importance of literacy skills-specifically language-for mathematics development has been well rationalized. However, despite several prominent studies indicating that mathematics skills are highly predictive of literacy development, the reason for this relation is not well understood. The purpose of this study was to identify how and why early mathematics is predictive of early literacy development. Participants included 125 preschool children 3-5 years old (M = 4 years 3 months). Participants were assessed on mathematics, literacy, and cognitive measures in both the fall and spring of their preschool year. Mediation analyses indicated that the relation between early mathematics and literacy skills is mediated by children's mathematical language skills. These findings suggest that, in prior research identifying mathematical performance as a significant predictor of later literacy skills, mathematical performance may have acted only as a proxy measure for more complex language skills such as those assessed on a mathematical language measure. (PsycINFO Database Record (c) 2017 APA, all rights reserved).

Major Differences: Variations in Undergraduate and Graduate Student Mental Health and Treatment Utilization across Academic Disciplines

Science.gov (United States)

Lipson, Sarah Ketchen; Zhou, Sasha; Wagner, Blake, III; Beck, Katie; Eisenberg, Daniel

2016-01-01

This article explores variations in mental health and service utilization across academic disciplines using a random sample of undergraduate and graduate students (N = 64,519) at 81 colleges and universities. We report prevalence of depression, anxiety, suicidality, and self-injury, and rates of help-seeking across disciplines, including results…

The mathematics behind biological invasions

CERN Document Server

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...

MATHEMATICS AND COMPUTERS IN SPORT - OVERVIEW

Directory of Open Access Journals (Sweden)

John Hammond

2006-12-01

Full Text Available MATHEMATICS AND COMPUTERS IN SPORT - OVERVIEW The first 17 papers in this (December issue of the Journal of Sports Science and Medicine are selected papers from the Eighth Australasian Conference on Mathematics and Computers in Sport, held in Queensland in July 2006. Of the first seven conferences, five were held at Bond University in Queensland, one at the University of Technology in Sydney during the year of the Sydney Olympics, and the last one was in New Zealand at Massey University. The emerging discipline of mathematics and computers in sport has developed under the auspices of the Australian and New Zealand Industrial and Applied Mathematics (ANZIAM Division of the Australian Mathematics Society through an interest group known as MathSport, bringing together sports scientists who are interested inmathematical and statistical modelling in sport, the use of computers in sport, the application of these to improve coaching and individual performance, and teaching that combines mathematics, computers and sport. This eighth conference in the series returned to Queensland but not at Bond University, because campus accommodation for conference participants was no longer available at that venue. Instead delegates gathered at the Greenmount Beach Resort, which has been used during the past decade for a number of Applied Mathematics Conferences. There were 33 papers presented during the 3 days, across topics that covered a variety of individual and team sports. Participants attended from the United Kingdom, France, Germany, India, New Zealand and Australia. These participants were drawn from those working in mainstream mathematics, statistics, computers science, sports science support, coaching and education.Professor Steve Clarke and Emeritus Professor Neville de Mestre have been to all eight conferences and this year delivered papers on Australian rules football and golf putting respectively. Tony Lewis, of the Duckworth-Lewis formula for

Using Mathematics, Mathematical Applications, Mathematical Modelling, and Mathematical Literacy: A Theoretical Study

Science.gov (United States)

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…

Physics Teaching in the Search for Its Self: From Physics as a Discipline to Physics as a Discipline-Culture

Science.gov (United States)

Tseitlin, Michael; Galili, Igal

The crisis in physics education necessitates searching for new relevant meanings of physics knowledge. This paper advocates regarding physics as the dialogue among discipline-cultures, rather than as a cluster of disciplines to be an appropriate subject of science education. In a discipline-culture one can distinguish elements of knowledge as belonging to either (1) central principles and paradigms - nucleus, (2) normal disciplinary area - body of knowledge or (3) rival knowledge of the subject - periphery. It appears that Physics cannot be represented as a simple dynamic wholeness, that is, cannot be arranged in a single tripartite (triadic) structure (this result presents a deconstruction), but incorporates several discipline-cultures. Bound together by family similarity, they maintain a conceptual discourse. Teaching physics as a culture is performed in polyphonic space of different worldviews; in other words, it is performed in a Kontrapunkt. Implications of the tripartite code are suggested with regard to representation of scientific revolutions, individual conceptual change, physics curricula and the typology of students learning science.

A mathematics sampler topics for the liberal arts

CERN Document Server

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

Mathematical Footprints Discovering Mathematics Everywhere

CERN Document Server

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

Teachers' stress intensifies violent disciplining in Tanzanian secondary schools.

Science.gov (United States)

Hecker, Tobias; Goessmann, Katharina; Nkuba, Mabula; Hermenau, Katharin

2018-02-01

Violent forms of discipline in schools continue to be widespread across the globe despite their damaging effects. Since little is known about factors influencing the extent of violence applied by teachers, this study aimed to investigate the influence of teachers' stress, work satisfaction, and personal characteristics on their disciplining style. Using structural equation modeling, associations between violent discipline, burnout symptoms, and job perceptions (pressure and difficulties in class) reported by 222 teachers from 11 secondary schools in Tanzania in 2015 were analyzed. Results indicated a direct association between perceived stress and emotional violent discipline (β=.18, pjob perceptions and both forms of violent disciplining. The model showed good model fit (χ 2 [44, n=222]=67.47 (p=.013), CFI=.94, TLI=.91, IFI=.94, RMSEA=.049 [90%-CI=.02-.07, PCLOSE=.50], SRMR=.06). Our findings suggest that teachers' personal perceptions of their work as well as their stress burden play a role in their disciplining styles. Our findings underline the importance of integrating topics, such as stress and coping as well as positive, nonviolent discipline measures into the regular teacher's training and in addition to develop and evaluate school-based preventative interventions for teachers. Copyright © 2017 Elsevier Ltd. All rights reserved.

Constructivism in mathematics

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Troelstra, AS

1988-01-01

Studies in Logic and the Foundations of Mathematics, Volume 123: Constructivism in Mathematics: An Introduction, Vol. II focuses on various studies in mathematics and logic, including metric spaces, polynomial rings, and Heyting algebras.The publication first takes a look at the topology of metric spaces, algebra, and finite-type arithmetic and theories of operators. Discussions focus on intuitionistic finite-type arithmetic, theories of operators and classes, rings and modules, linear algebra, polynomial rings, fields and local rings, complete separable metric spaces, and located sets. The te

Mathematical writing

CERN Document Server

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...

Effective Discipline in the Home and School.

Science.gov (United States)

Painter, Genevieve; Corsini, Raymond J.

Based originally on the work of the Austrian psychiatrist, Alfred Adler, work which was further developed by Rudolph Dreikurs, this book Dreikurs, this book offers solutions to specific child discipline problems. Part I focuses on effective discipline in the home. These topics are covered: fundamentals of practical parenting; problems of routine…

School Discipline, School Uniforms and Academic Performance

Science.gov (United States)

Baumann, Chris; Krskova, Hana

2016-01-01

Purpose: The purpose of this paper is to examine the role of school discipline in achieving academic performance. The study aims to clarify the role of permissive "vis-à-vis" authoritative teaching styles with an overarching hypothesis that better discipline leads to better academic performance. The authors also probe whether uniformed…

Procedural Due Process Rights in Student Discipline.

Science.gov (United States)

Pressman, Robert; Weinstein, Susan

To assist administrators in understanding procedural due process rights in student discipline, this manual draws together hundreds of citations and case summaries of federal and state court decisions and provides detailed commentary as well. Chapter 1 outlines the general principles of procedural due process rights in student discipline, such as…

Proceedings of the Third International Workshop on Mathematical Foundations of Computational Anatomy

DEFF Research Database (Denmark)

the mathematical community around shapes and the MICCAI community in view of computational anatomy applications. It targets more particularly researchers investigating the combination of statistical and geometrical aspects in the modeling of the variability of biological shapes. The workshop is a forum...... of the workshop: statistics on manifolds and diff eomorphisms for surface or longitudinal registration. One session gathers papers exploring new mathematical structures beyond Riemannian geometry while the last oral session deals with the emerging theme of statistics on graphs and trees. Finally, a poster session......Computational anatomy is an emerging discipline at the interface of geometry, statistics and image analysis which aims at modeling and analyzing the biological shape of tissues and organs. The goal is to estimate representative organ anatomies across diseases, populations, species or ages, to model...

Dual use research: investigation across multiple science disciplines.

Science.gov (United States)

Oltmann, Shannon

2015-04-01

Most recent studies of dual use research have focused on the life sciences, although some researchers have suggested that dual use research occurs across many disciplines. This research is an initial investigation into the prevalence of dual use research in other scientific disciplines by surveying senior editors of scientific journals, drawn from Journal Citation Reports. The survey was emailed to 7,500 journal editors with a response rate of 10.1 %. Approximately 4.8 % of life science editors reported they had to consider whether to publish dual use research and 38.9 % said they decided to not publish the research in question. In disciplines other than the life sciences, 7.2 % of editors from other science disciplines reported that they had to consider whether to publish dual use research, and 48.4 % declined to publish it. The survey investigated relationships between dual use and the journal's source of funding and place of publication, but no relationships were found. Further research is needed to better understand the occurrence of dual use research in other science disciplines.

Disciplining the children – ways of doing it, standpoints and generational relations

Directory of Open Access Journals (Sweden)

Saša Poljak

2010-01-01

Full Text Available Parents use different ways of disciplining the children in the family. The purpose of the research is to study ways, attitudes and intergenerational relations between disciplining the children in the family. One hundred and three parents appraised their ways of children disciplining, their attitudes towards the ways of disciplining, the context of experiencing, modes of implementing discipline and ways of disciplining of their mother and father when they were 10 years old. More than half of the parents describe the use of at least one of the ways of physical punishment respectively, at least one of the ways of psychical violence as a way of disciplining children in the family. Punishment ways of disciplining are connected with the experience of spousal conflict in the family, ineffectiveness, stress and the impulsive way of a response due to children disciplining. The acceptability of punishment and non-punishment ways of disciplining are positively connected with the frequency of use of this ways of disciplining. The research presented here shows a possibility that the use of a certain way of disciplining children in the family does not necessarily have a connection with a similar disciplining experience in the childhood. Corporal punishment is connected with the experience of other ways of punitive disciplining in the childhood, especially with the ways of disciplining used by mother.

Mothers' Knowledge of Their Children's Evaluations of Discipline: The Role of Type of Discipline and Misdeed, and Parenting Practices

Science.gov (United States)

Davidov, Maayan; Grusec, Joan E.; Wolfe, Janis L.

2012-01-01

Fifty-nine 6- to 9-year-old children evaluated three discipline strategies (reasoning, verbal power assertion, acknowledgment of feelings), and mothers were asked to predict their children's evaluations. Maternal knowledge scores were derived. Mothers were less accurate at predicting their children's perceptions of discipline when the misdeed in…

Mathematics, anxiety, and the brain.

Science.gov (United States)

Moustafa, Ahmed A; Tindle, Richard; Ansari, Zaheda; Doyle, Margery J; Hewedi, Doaa H; Eissa, Abeer

2017-05-24

Given that achievement in learning mathematics at school correlates with work and social achievements, it is important to understand the cognitive processes underlying abilities to learn mathematics efficiently as well as reasons underlying the occurrence of mathematics anxiety (i.e. feelings of tension and fear upon facing mathematical problems or numbers) among certain individuals. Over the last two decades, many studies have shown that learning mathematical and numerical concepts relies on many cognitive processes, including working memory, spatial skills, and linguistic abilities. In this review, we discuss the relationship between mathematical learning and cognitive processes as well as the neural substrates underlying successful mathematical learning and problem solving. More importantly, we also discuss the relationship between these cognitive processes, mathematics anxiety, and mathematics learning disabilities (dyscalculia). Our review shows that mathematical cognition relies on a complex brain network, and dysfunction to different segments of this network leads to varying manifestations of mathematical learning disabilities.

Mathematics for the liberal arts

CERN Document Server

Bindner, Donald; Hemmeter, Joe

2014-01-01

Presents a clear bridge between mathematics and the liberal arts Mathematics for the Liberal Arts provides a comprehensible and precise introduction to modern mathematics intertwined with the history of mathematical discoveries. The book discusses mathematical ideas in the context of the unfolding story of human thought and highlights the application of mathematics in everyday life. Divided into two parts, Mathematics for the Liberal Arts first traces the history of mathematics from the ancient world to the Middle Ages, then moves on to the Renaissance and finishes with the development of modern mathematics. In the second part, the book explores major topics of calculus and number theory, including problem-solving techniques and real-world applications. This book emphasizes learning through doing, presents a practical approach, and features: A detailed explanation of why mathematical principles are true and how the mathematical processes workNumerous figures and diagrams as well as hundreds of worked example...

Disciplines en studies. Vernieuwing in de geesteswetenschappen

Directory of Open Access Journals (Sweden)

Jo Tollebeek

2013-10-01

Full Text Available Disciplines and studies. Innovation in the humanitiesThe classic humanities disciplines took shape in the nineteenth century in a complex, contingency- driven process in which factors such as the introduction of a ‘scientific principle’ and the securing of the humanities’ position in the universities played an important role. This process resulted in flexible disciplines that lacked rigidity. For example, there was no ambitious theorising, no development of systematic methodologies and no academic monopoly. This, in turn, made renewal in the humanities a straightforward possibility, particularly when social and cultural changes called for such renewal. The liveliness that characterises teaching and research in the humanities today testifies to this. The renewed demand for cross-disciplinary approaches has led to a number of branches of study (from holocaust and genocide studies to museum studies which explicitly present themselves as contemporary, focus on a concrete social theme, and often recall a time before the humanities disciplines had emerged in the way that they are organised and function. Anyone wishing to bring stability and continuity to this uneasy pattern of development must take account the factors that reinforced the classic disciplines back then. Among other things, a sustainable policy involves monitoring the quality of the new programmes, relaxed dealings with existing institutional structures and the provision of the necessary seed capital in the field of research.

ECMOR III: Third European Conference on the Mathematics of Oil Recovery

Energy Technology Data Exchange (ETDEWEB)

Christie, M.A.; Da Silva, F.V.; Farmer, C.L.; Guillon, O.; Heinemann, Z.E.; Lemonnier, P.; Regtien, J.M.M.; Van Spronsen, E. [eds.

1992-12-31

35 papers are presented in four groups: reservoir characterization (11), analytical methods (6), numerical methods (11), and reservoir simulation (7). With 11 papers the mathematical aspects of reservoir characterization are getting the attention they deserve. The geological and reservoir engineering concepts must be supplied by other disciplines, but no progress would be possible without mathematical modelling of these concepts. Analytical methods can be very helpful in deepening our insight. However, in this computer age they have a hard time competing with numerical methods. Fortunately this section is well presented with some very interesting papers. The numerical section covers a number of techniques aimed at improved reservoir simulation. Some are dealing with special applications: permeability prediction, steam injection, fractured reservoirs, hydrocarbons migration. In the reservoir simulation section the emphasis is on simulation of relatively small-scale features: fractures, fingering and wells

Pursuing Discipline and Ethical Issues in Tertiary Institutions in Nigeria

African Journals Online (AJOL)

Such courses include laxity in home control and parental supervision, school, teacher and societal factors as well as government influence. The paper recommended among others such strategies as enculturation, acculturation as well as acquisition of a certain number of generic skills for dealing with discipline and ethical ...

Mathematical modeling of HIV prevention measures including pre-exposure prophylaxis on HIV incidence in South Korea.

Science.gov (United States)

Kim, Sun Bean; Yoon, Myoungho; Ku, Nam Su; Kim, Min Hyung; Song, Je Eun; Ahn, Jin Young; Jeong, Su Jin; Kim, Changsoo; Kwon, Hee-Dae; Lee, Jeehyun; Smith, Davey M; Choi, Jun Yong

2014-01-01

Multiple prevention measures have the possibility of impacting HIV incidence in South Korea, including early diagnosis, early treatment, and pre-exposure prophylaxis (PrEP). We investigated how each of these interventions could impact the local HIV epidemic, especially among men who have sex with men (MSM), who have become the major risk group in South Korea. A mathematical model was used to estimate the effects of each these interventions on the HIV epidemic in South Korea over the next 40 years, as compared to the current situation. We constructed a mathematical model of HIV infection among MSM in South Korea, dividing the MSM population into seven groups, and simulated the effects of early antiretroviral therapy (ART), early diagnosis, PrEP, and combination interventions on the incidence and prevalence of HIV infection, as compared to the current situation that would be expected without any new prevention measures. Overall, the model suggested that the most effective prevention measure would be PrEP. Even though PrEP effectiveness could be lessened by increased unsafe sex behavior, PrEP use was still more beneficial than the current situation. In the model, early diagnosis of HIV infection was also effectively decreased HIV incidence. However, early ART did not show considerable effectiveness. As expected, it would be most effective if all interventions (PrEP, early diagnosis and early treatment) were implemented together. This model suggests that PrEP and early diagnosis could be a very effective way to reduce HIV incidence in South Korea among MSM.

Reading and Quality Discipline in the Classroom.

Science.gov (United States)

Ediger, Marlow

Time spent on disciplining children in the classroom is time taken away from achieving the objectives of instruction. The classroom teacher needs to have appropriate guidelines to use in teaching as well as specific workable procedures which help students to achieve. This paper discusses various methods of classroom discipline. The paper first…

The interplay of externalizing problems and physical and inductive discipline during childhood.

Science.gov (United States)

Choe, Daniel Ewon; Olson, Sheryl L; Sameroff, Arnold J

2013-11-01

Children who are physically disciplined are at elevated risk for externalizing problems. Conversely, maternal reasoning and reminding of rules, or inductive discipline, is associated with fewer child externalizing problems. Few studies have simultaneously examined bidirectional associations between these forms of discipline and child adjustment using cross-informant, multimethod data. We hypothesized that less inductive and more physical discipline would predict more externalizing problems, children would have evocative effects on parenting, and high levels of either form of discipline would predict low levels of the other. In a study of 241 children-spanning ages 3, 5.5, and 10-structural equation modeling indicated that 3-year-olds with higher teacher ratings of externalizing problems received higher mother ratings of physical discipline at age 5.5. Mothers endorsing more inductive discipline at child age 3 reported less physical discipline and had children with fewer externalizing problems at age 5.5. Negative bidirectional associations emerged between physical and inductive discipline from ages 5.5 to 10. Findings suggested children's externalizing problems elicited physical discipline, and maternal inductive discipline might help prevent externalizing problems and physical discipline.

Mathematical Cultures : the London Meetings 2012-2014

CERN Document Server

2016-01-01

This collection presents significant contributions from an international network project on mathematical cultures, including essays from leading scholars in the history and philosophy of mathematics and mathematics education. Mathematics has universal standards of validity. Nevertheless, there are local styles in mathematical research and teaching, and great variation in the place of mathematics in the larger cultures that mathematical practitioners belong to. The reflections on mathematical cultures collected in this book are of interest to mathematicians, philosophers, historians, sociologists, cognitive scientists and mathematics educators.

Understanding Immunology via Engineering Design: The Role of Mathematical Prototyping

Science.gov (United States)

Klinke, David J.; Wang, Qing

2012-01-01

A major challenge in immunology is how to translate data into knowledge given the inherent complexity and dynamics of human physiology. Both the physiology and engineering communities have rich histories in applying computational approaches to translate data obtained from complex systems into knowledge of system behavior. However, there are some differences in how disciplines approach problems. By referring to mathematical models as mathematical prototypes, we aim to highlight aspects related to the process (i.e., prototyping) rather than the product (i.e., the model). The objective of this paper is to review how two related engineering concepts, specifically prototyping and “fitness for use,” can be applied to overcome the pressing challenge in translating data into improved knowledge of basic immunology that can be used to improve therapies for disease. These concepts are illustrated using two immunology-related examples. The prototypes presented focus on the beta cell mass at the onset of type 1 diabetes and the dynamics of dendritic cells in the lung. This paper is intended to illustrate some of the nuances associated with applying mathematical modeling to improve understanding of the dynamics of disease progression in humans. PMID:22973412

Conservation Biology and Traditional Ecological Knowledge: Integrating Academic Disciplines for Better Conservation Practice

Directory of Open Access Journals (Sweden)

Joshua A. Drew

2006-12-01

Full Text Available Conservation biology and environmental anthropology are disciplines that are both concerned with the identification and preservation of diversity, in one case biological and in the other cultural. Both conservation biology and the study of traditional ecoloigcal knowledge function at the nexus of the social and natural worlds, yet historically there have been major impediments to integrating the two. Here we identify linguistic, cultural, and epistemological barriers between the two disciplines. We argue that the two disciplines are uniquely positioned to inform each other and to provide critical insights and new perspectives on the way these sciences are practiced. We conclude by synthesizing common themes found in conservation success stories, and by making several suggestions on integration. These include cross-disciplinary publication, expanding memberships in professional societies and conducting multidisciplinary research based on similar interests in ecological process, taxonomy, or geography. Finally, we argue that extinction threats, be they biological or cultural/linguistic are imminent, and that by bringing these disciplines together we may be able to forge synergistic conservation programs capable of protecting the vivid splendor of life on Earth.

Military discipline: in the history and in modern Russia

OpenAIRE

Grigoryev O. V.

2016-01-01

the article deals with the problem of changing the approaches to military discipline. Analyzed and its inextricable link with the military law, the role and place of discipline in strengthening statehood and the suppression of the destructive manifestations. The analysis of the modern understanding of military discipline in passing of military service in the Russian Federation.

Mathematical statistics

CERN Document Server

Pestman, Wiebe R

2009-01-01

This textbook provides a broad and solid introduction to mathematical statistics, including the classical subjects hypothesis testing, normal regression analysis, and normal analysis of variance. In addition, non-parametric statistics and vectorial statistics are considered, as well as applications of stochastic analysis in modern statistics, e.g., Kolmogorov-Smirnov testing, smoothing techniques, robustness and density estimation. For students with some elementary mathematical background. With many exercises. Prerequisites from measure theory and linear algebra are presented.

International Conference on Mathematical Fluid Dynamics

CERN Document Server

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.

Disciplines in the Service of Educational Thought.

Science.gov (United States)

Winchester, Ian

1999-01-01

Suggests that the 20th century has been the century of the application of disciplines - philosophy, psychology, history, sociology, statistics, cognitive science, and computer science - to educational thought on an unprecedented scale. The same disciplines, in the service of the study of women by women, have led to a whole new complex of thought…

The Law of Student Discipline in Malaysia

Science.gov (United States)

Hee, Tie Fatt

2008-01-01

Judicial review of decisions on student discipline is limited in Malaysia. This arises because of the general presumption that in the enforcement of school discipline, educators are able to act in the best interest of the student to maintain a safe learning environment. This article examines the range of disciplinary measures in Malaysian schools…

Motivation of Student in IT-disciplines

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Nataliya N. Datsun

2017-12-01

Full Text Available Method of systematic literature analysis for 2012-2017 about motivation of the learners in IT disciplines was applied. The growth trend in the number of publications about the motivation of students and the learners of IT disciplines, as well as the coverage by research in all regions of the world were established. 32 publications were selected from scientometric databases. The most active researches were identified among the IT bachelors, and according to the dimension "training level" - among novices. Seven psychological approaches to motivation were identified. Self-Determination Theory (SDT is the most common among them. In studies based on SDT, types of learning motivation were differentiated depending on the level of education students of IT disciplines. Nine pedagogical approaches of motivation were identified. Project-based learning were applied in most cases. It can be recommended for the formation of professional competencies.

Using HIV&AIDS statistics in pre-service Mathematics Education to integrate HIV&AIDS education.

Science.gov (United States)

van Laren, Linda

2012-12-01

In South Africa, the HIV&AIDS education policy documents indicate opportunities for integration across disciplines/subjects. There are different interpretations of integration/inclusion and mainstreaming HIV&AIDS education, and numerous levels of integration. Integration ensures that learners experience the disciplines/subjects as being linked and related, and integration is required to support and expand the learners' opportunities to attain skills, acquire knowledge and develop attitudes and values across the curriculum. This study makes use of self-study methodology where I, a teacher educator, aim to improve my practice through including HIV&AIDS statistics in Mathematics Education. This article focuses on how I used HIV&AIDS statistics to facilitate pre-service teacher reflection and introduce them to integration of HIV&AIDS education across the curriculum. After pre-service teachers were provided with HIV statistics, they drew a pie chart which graphically illustrated the situation and reflected on issues relating to HIV&AIDS. Three themes emerged from the analysis of their reflections. The themes relate to the need for further HIV&AIDS education, the changing pastoral role of teachers and the changing context of teaching. This information indicates that the use of statistics is an appropriate means of initiating the integration of HIV&AIDS education into the academic curriculum.

Women in mathematics celebrating the centennial of the Mathematical Association of America

CERN Document Server

Greenwald, Sarah; Jensen-Vallin, Jacqueline; Mast, Maura

2017-01-01

This collection of refereed papers celebrates the contributions, achievements, and progress of female mathematicians, mostly in the 20th and 21st centuries. Emerging from the themed paper session “The Contributions of Women to Mathematics: 100 Years and Counting” at MAA's 2015 MathFest, this volume contains a diverse mix of current scholarship and exposition on women and mathematics, including biographies, histories, and cultural discussions. The multiplicity of authors also ensures a wide variety of perspectives. In inspiring and informative chapters, the authors featured in this volume reflect on the accomplishments of women in mathematics, showcasing the changes in mathematical culture that resulted as more women obtained tenure-track and tenured academic positions, received prestigious awards and honors, served in leadership roles in professional societies, and became more visibly active in the mathematical community. Readers will find discussions of mathematical excellence at Girton College, Cambridg...

Secondary Teachers’ Mathematics-related Beliefs and Knowledge about Mathematical Problem-solving

Science.gov (United States)

E Siswono, T. Y.; Kohar, A. W.; Hartono, S.

2017-02-01

This study investigates secondary teachers’ belief about the three mathematics-related beliefs, i.e. nature of mathematics, teaching mathematics, learning mathematics, and knowledge about mathematical problem solving. Data were gathered through a set of task-based semi-structured interviews of three selected teachers with different philosophical views of teaching mathematics, i.e. instrumental, platonist, and problem solving. Those teachers were selected from an interview using a belief-related task from purposively selected teachers in Surabaya and Sidoarjo. While the interviews about knowledge examine teachers’ problem solving content and pedagogical knowledge, the interviews about beliefs examine their views on several cases extracted from each of such mathematics-related beliefs. Analysis included the categorization and comparison on each of beliefs and knowledge as well as their interaction. Results indicate that all the teachers did not show a high consistency in responding views of their mathematics-related beliefs, while they showed weaknesses primarily on problem solving content knowledge. Findings also point out that teachers’ beliefs have a strong relationship with teachers’ knowledge about problem solving. In particular, the instrumental teacher’s beliefs were consistent with his insufficient knowledge about problem-solving, while both platonist and problem-solving teacher’s beliefs were consistent with their sufficient knowledge of either content or pedagogical problem solving.

Medical elementology as a new scientific discipline

International Nuclear Information System (INIS)

Zaichick, V.

2006-01-01

All legitimate scientific disciplines are characterized by: (1) the clear definition of subjects of the study and its corresponding clear-cut name, (2) some accepted postulates, (3) set of research methods, (4) methods of quality control and processing of the obtained information, and (5) specific terminology and definitions. The inaccuracies and uncertainties in medical elementology as a new scientific discipline are discussed and some corresponding statements are made. Another and no less important problem of medical elementology is the critical unsatisfactory reproducibility of data. The complex arrangements required for the harmonization of data acquired for studies in medical elementology are offered. Main strategic aims and tactical tasks of the new scientific discipline are outlined. (author)

Experimental Mathematics and Computational Statistics

Energy Technology Data Exchange (ETDEWEB)

Bailey, David H.; Borwein, Jonathan M.

2009-04-30

The field of statistics has long been noted for techniques to detect patterns and regularities in numerical data. In this article we explore connections between statistics and the emerging field of 'experimental mathematics'. These includes both applications of experimental mathematics in statistics, as well as statistical methods applied to computational mathematics.

Learner discipline: An Australian perspective

Directory of Open Access Journals (Sweden)

D. Stewart

2004-07-01

Full Text Available Australian schools by and large are safe schools. Nonetheless discipline problems do exist – including bullying behaviour. For this kind of problem schools should have management policies in place. As traditional behaviour-management practices – including corporal punishment – are largely prohibited in Australian schools, contemporary practices centre on management through supportive school programmes, including appropriate curricula and school-support structures. This article supports the belief that measures such as the exclusion of misbehaving learners should be treated with caution. Measures such as this might not reflect accepted international principles and practices and should only be exercised in the most extreme circumstances. The article also supports the view that it is part of the school’s role to ensure that all learners are aware of the reality that while they have rights, they also have corresponding responsibilities. This awareness is more likely to be achieved in a supportive school culture where each learner is recognised as having unique qualities that can mature and grow in an appropriate learning environment.

Advanced engineering mathematics

CERN Document Server

Jeffrey, Alan

2001-01-01

Advanced Engineering Mathematics provides comprehensive and contemporary coverage of key mathematical ideas, techniques, and their widespread applications, for students majoring in engineering, computer science, mathematics and physics. Using a wide range of examples throughout the book, Jeffrey illustrates how to construct simple mathematical models, how to apply mathematical reasoning to select a particular solution from a range of possible alternatives, and how to determine which solution has physical significance. Jeffrey includes material that is not found in works of a similar nature, such as the use of the matrix exponential when solving systems of ordinary differential equations. The text provides many detailed, worked examples following the introduction of each new idea, and large problem sets provide both routine practice, and, in many cases, greater challenge and insight for students. Most chapters end with a set of computer projects that require the use of any CAS (such as Maple or Mathematica) th...

Canadian Mathematical Congress

CERN Document Server

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 ...

Modelers' perception of mathematical modeling in epidemiology: a web-based survey.

Directory of Open Access Journals (Sweden)

Gilles Hejblum

Full Text Available BACKGROUND: Mathematical modeling in epidemiology (MME is being used increasingly. However, there are many uncertainties in terms of definitions, uses and quality features of MME. METHODOLOGY/PRINCIPAL FINDINGS: To delineate the current status of these models, a 10-item questionnaire on MME was devised. Proposed via an anonymous internet-based survey, the questionnaire was completed by 189 scientists who had published in the domain of MME. A small minority (18% of respondents claimed to have in mind a concise definition of MME. Some techniques were identified by the researchers as characterizing MME (e.g. Markov models, while others-at the same level of sophistication in terms of mathematics-were not (e.g. Cox regression. The researchers' opinions were also contrasted about the potential applications of MME, perceived as highly relevant for providing insight into complex mechanisms and less relevant for identifying causal factors. The quality criteria were those of good science and were not related to the size and the nature of the public health problems addressed. CONCLUSIONS/SIGNIFICANCE: This study shows that perceptions on the nature, uses and quality criteria of MME are contrasted, even among the very community of published authors in this domain. Nevertheless, MME is an emerging discipline in epidemiology and this study underlines that it is associated with specific areas of application and methods. The development of this discipline is likely to deserve a framework providing recommendations and guidance at various steps of the studies, from design to report.

English as an arts discipline in environmental education | Clacherty ...

African Journals Online (AJOL)

The subject English can be used as a discipline or as a medium. This paper describes the form of English as a discipline and questions the way it is used in environmental education. A call is made to involve in environmental education those who understand the form of English as a discipline in particular and of the arts in ...

Matematika u vojnotehničkim dostignućima / Mathematics in military-technical achievements

Directory of Open Access Journals (Sweden)

Natalija B. Jelenković

2010-10-01

mathematics for military-technical achievements is reflected in the fact that mathematics allowed the existence and development of military disciplines such as: fortifications, military statistics, military economics, cryptography, military psychology, air force, military-technical and military information science. There are also many applications using mathematical models and linear programming. Mathematics is thus necessary and indispensable as a tool, a way of expression and communication, as well as the basic creation of further progress. This article reveals the connection of mathematics and certain military areas that are important for the development of the armed forces and war materiel. The application of mathematics in military- technical achievements is entailed in the connection of mathematics with military disciplines. Information technology - Basic concepts Some identified problems occurring in military purposes are mentioned through some basic concepts and benefits related to information technology. Comparative description and listing of characteristic traits resulting in the noticed and given advantages and disadvantages highlighted the creation of information technologies, first by using conventional programs and programming and then by using artificial intelligence and expert systems.

Market discipline and incentive problems in conglomerate banks

NARCIS (Netherlands)

Boot, A.W.A.; Schmeits, A.

1998-01-01

This paper analyzes the optimal conglomeration of bank activities. Weshow that the effectiveness of market discipline forstand-alone activities (divisions) is of crucial importance for thepotential benefits of conglomeration. We find thateffective market discipline reduces the potential benefits

Textbook research as scientific research: towards a common ground for research on mathematics textbooks

OpenAIRE

Fan, Lianghuo

2011-01-01

This article explores research issues and methods of textbook research. Drawing on literatures and the author’s own work in the area of mathematics textbook research, it conceptualizes textbooks as an intermediate variable in the context of education and hence defines textbook research as disciplined inquiry into issues about textbooks and the relationships between textbooks and other factors in education. Furthermore, it argues that to further advance the field of textbook research, research...

Hierarchical Mentoring: A Transformative Strategy for Improving Diversity and Retention in Undergraduate STEM Disciplines

Science.gov (United States)

Wilson, Zakiya S.; Holmes, Lakenya; Degravelles, Karin; Sylvain, Monica R.; Batiste, Lisa; Johnson, Misty; McGuire, Saundra Y.; Pang, Su Seng; Warner, Isiah M.

2012-02-01

In the United States, less than half of the students who enter into science, technology, engineering, and mathematics (STEM) undergraduate curricula as freshmen will actually graduate with a STEM degree. There is even greater disparity in the national STEM graduation rates of students from underrepresented groups with approximately three-fourths of minority students leaving STEM disciplines at the undergraduate level. A host of programs have been designed and implemented to model best practices in retaining students in STEM disciplines. The Howard Hughes Medical Institute (HHMI) Professors Program at Louisiana State University, under leadership of HHMI Professor Isiah M. Warner, represents one of these programs and reports on a mentoring model that addresses the key factors that impact STEM student attrition at the undergraduate level. By integrating mentoring and strategic academic interventions into a structured research program, an innovative model has been developed to guide STEM undergraduate majors in adopting the metacognitive strategies that allow them to excel in their programs of study, as they learn to appreciate and understand science more completely. Comparisons of the persistence of participants and nonparticipants in STEM curricular, at the host university and with other national universities and colleges, show the impact of the model's salient features on improving STEM retention through graduation for all students, particularly those from underrepresented groups.

9th Annual Conference of the North East Polytechnics Mathematical Modelling & Computer Simulation Group

CERN Document Server

Bradley, R

1987-01-01

In recent years, mathematical modelling allied to computer simulation has emerged as en effective and invaluable design tool for industry and a discipline in its own right. This has been reflected in the popularity of the growing number of courses and conferences devoted to the area. The North East Polytechnics Mathematical Modelling and Computer Simulation Group has a balanced representation of academics and industrialists and, as a Group, has the objective of promoting a continuing partnership between the Polytechnics in the North East and local industry. Prior to the present conference the Group has organised eight conferences with a variety of themes related to mathematical modelling and computer simulation. The theme chosen for the Polymodel 9 Conference held in Newcastle upon Tyne in May 1986 was Industrial Vibration Modelling, which is particularly approp riate for 'Industry Year' and is an area which continues to present industry and academics with new and challenging problems. The aim of the Conferen...

Mathematics revealed

CERN Document Server

Berman, Elizabeth

1979-01-01

Mathematics Revealed focuses on the principles, processes, operations, and exercises in mathematics.The book first offers information on whole numbers, fractions, and decimals and percents. Discussions focus on measuring length, percent, decimals, numbers as products, addition and subtraction of fractions, mixed numbers and ratios, division of fractions, addition, subtraction, multiplication, and division. The text then examines positive and negative numbers and powers and computation. Topics include division and averages, multiplication, ratios, and measurements, scientific notation and estim

How to solve mathematical problems

CERN Document Server

Wickelgren, Wayne A

1995-01-01

Seven problem-solving techniques include inference, classification of action sequences, subgoals, contradiction, working backward, relations between problems, and mathematical representation. Also, problems from mathematics, science, and engineering with complete solutions.

Mathematics, substance and surmise views on the meaning and ontology of mathematics

CERN Document Server

Davis, Philip

2015-01-01

The seventeen thought-provoking and engaging essays in this collection present readers with a wide range of diverse perspectives on the ontology of mathematics. The essays address such questions as: What kind of things are mathematical objects? What kinds of assertions do mathematical statements make? How do people think and speak about mathematics?  How does society use mathematics? How have our answers to these questions changed over the last two millennia, and how might they change again in the future?   The authors include mathematicians, philosophers, computer scientists, cognitive psychologists, sociologists, educators, and mathematical historians; each brings their own expertise and insights to the discussion. Contributors to this volume: Jeremy Avigad Jody Azzouni David H. Bailey David Berlinski Jonathan M. Borwein Ernest Davis Philip J. Davis Donald Gillies Jeremy Gray Jesper Lützen Ursula Martin Kay L. O’Halloran Alison Pease Steven T. Piantadosi Lance J. Rips Micah T. Ross Nathalie Sinclair J...

Biology. CUNY Panel: Rethinking the Disciplines. Women in the Curriculum Series.

Science.gov (United States)

Spanier, Bonnie B.; Rosser, Sue V.; Muzio, Joseph N.; Tucker, Edward B.

This collection of four essays examines the ways in which biology, as a discipline, reflects ongoing scholarship on gender, race, ethnicity, social class, and sexual orientation. In "Natural Sciences: Molecular Biology," Bonnie B. Spanier examines common ideological distortions in biology, including superimposing stereotypical gender attributes…

Growing the Character Values to Students Through Application of Realistic Mathematics Education (RME in the Social Arithmetic Learning

Directory of Open Access Journals (Sweden)

Amin Suyitno

2015-06-01

Full Text Available AbstractEducating students at the Basic Education level is not only demanded that the students are clever, but there are also other demand which no less important that is to educate so that students have a good character value. Educating  the students to have a good character value is started from home, school, and community. In school, educating character to students is not only the duty of teachers of Religion or Civics class, but also the duty of all teachers, including the teachers in Mathematics. Math teacher does not need to hold special time for educating of character, but it can be integrated into any material taught, and also in different application of learning models. This paper examines how the efforts of mathematics teacher in educating of character to the students of Basic Education, especially in Junior High School through the application of Realistic Mathematics Education (RME on the material of Social Arithmetic. Through presenting of the material of Social Arithmetic by RME learning model, students can be given a character education through the attitude of honesty, tolerance, discipline, cooperation, creative, independent, democratic, curiosity, love of peace, social care, responsibility, and so on. In conclusion, educational character values to students can be done by mathematics teacher through a variety of materials.  One of them  through presenting of the material of Social Arithmetic by RME learning model.

Mathematics and biology: The interface, challenges and opportunities

Energy Technology Data Exchange (ETDEWEB)

Levin, S.A. (ed.) (Cornell Univ., Ithaca, NY (United States))

1992-06-01

The interface between mathematics and biology has long been a rich area of research, with mutual benefit to each supporting discipline. Traditional areas of investigation, such as population genetics, ecology, neurobiology, and 3-D reconstructions, have flourished, despite a rather meager environment for the funding of such work. In the past twenty years, the kind and scope of such interactions between mathematicians and biologists have changed dramatically, reaching out to encompass areas of both biology and mathematics that previously had not benefited. At the same time, with the closer integration of theory and experiment, and the increased reliance on high-speed computation, the costs of such research grew, though not the opportunities for funding. The perception became reinforced, both within the research community and at funding agencies, that although these interactions were expanding, they were not doing so at the rate necessary to meet the opportunities and needs. A workshop was held in Washington, DC, between April 28 and May 3, 1990 which drew together a broadly based group of researchers to synthesize conclusions from a group of working papers and extended discussions. The result is the report presented here, which we hope will provide a guide and stimulus to research in mathematical and computational biology for at least the next decade. The report identifies a number of grand challenges, representing a broad consensus among the participants.

An Interdisciplinary Approach for Biology, Technology, Engineering and Mathematics (BTEM to Enhance 21st Century Skills in Malaysia.

Directory of Open Access Journals (Sweden)

Lee Chuo Hiong

2015-07-01

Full Text Available An interdisciplinary approach for Biology, Technology, Engineering and Mathematics (BTEM is suggested to develop 21st century skills in the Malaysian context. BTEM allows students to master biological knowledge and at the same time to be adroit in other sub discipline skills. Students master factual knowledge of biology and skills of the 21st century simultaneously. The two main teaching and learning strategies applied in BTEM are problem-based learning and inquiry-based learning. Students are exposed to real world problems that require them to undergo inquiry processes to discover the inventive solutions. The content knowledge of biology adheres to the Malaysian Integrated Curriculum for Secondary Schools. The essence of engineering is inventive problem solving. Incorporation of information communication technologies in teaching and learning will be able to fulfil the needs of the current Net Generation. Mathematics plays an important role as computational tools, especially in analysing data. The highlighted 21st century skills in BTEM include digital literacy, inventive thinking, effective communication, high productivity, and spiritual and noble values.

Mathematics and Measurement.

Science.gov (United States)

Boisvert, R F; Donahue, M J; Lozier, D W; McMichael, R; Rust, B W

2001-01-01

In this paper we describe the role that mathematics plays in measurement science at NIST. We first survey the history behind NIST's current work in this area, starting with the NBS Math Tables project of the 1930s. We then provide examples of more recent efforts in the application of mathematics to measurement science, including the solution of ill-posed inverse problems, characterization of the accuracy of software for micromagnetic modeling, and in the development and dissemination of mathematical reference data. Finally, we comment on emerging issues in measurement science to which mathematicians will devote their energies in coming years.

Disciplining the children – ways of doing it, standpoints and generational relations

OpenAIRE

Saša Poljak

2010-01-01

Parents use different ways of disciplining the children in the family. The purpose of the research is to study ways, attitudes and intergenerational relations between disciplining the children in the family. One hundred and three parents appraised their ways of children disciplining, their attitudes towards the ways of disciplining, the context of experiencing, modes of implementing discipline and ways of disciplining of their mother and father when they were 10 years old. More than half of t...

Mentoring in mathematics education

CERN Document Server

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:

Open problems in mathematics

CERN Document Server

Nash, Jr, John Forbes

2016-01-01

The goal in putting together this unique compilation was to present the current status of the solutions to some of the most essential open problems in pure and applied mathematics. Emphasis is also given to problems in interdisciplinary research for which mathematics plays a key role. This volume comprises highly selected contributions by some of the most eminent mathematicians in the international mathematical community on longstanding problems in very active domains of mathematical research. A joint preface by the two volume editors is followed by a personal farewell to John F. Nash, Jr. written by Michael Th. Rassias. An introduction by Mikhail Gromov highlights some of Nash’s legendary mathematical achievements. The treatment in this book includes open problems in the following fields: algebraic geometry, number theory, analysis, discrete mathematics, PDEs, differential geometry, topology, K-theory, game theory, fluid mechanics, dynamical systems and ergodic theory, cryptography, theoretical computer sc...

Interoperable Data Sharing for Diverse Scientific Disciplines

Science.gov (United States)

Hughes, John S.; Crichton, Daniel; Martinez, Santa; Law, Emily; Hardman, Sean

2016-04-01

For diverse scientific disciplines to interoperate they must be able to exchange information based on a shared understanding. To capture this shared understanding, we have developed a knowledge representation framework using ontologies and ISO level archive and metadata registry reference models. This framework provides multi-level governance, evolves independent of implementation technologies, and promotes agile development, namely adaptive planning, evolutionary development, early delivery, continuous improvement, and rapid and flexible response to change. The knowledge representation framework is populated through knowledge acquisition from discipline experts. It is also extended to meet specific discipline requirements. The result is a formalized and rigorous knowledge base that addresses data representation, integrity, provenance, context, quantity, and their relationships within the community. The contents of the knowledge base is translated and written to files in appropriate formats to configure system software and services, provide user documentation, validate ingested data, and support data analytics. This presentation will provide an overview of the framework, present the Planetary Data System's PDS4 as a use case that has been adopted by the international planetary science community, describe how the framework is being applied to other disciplines, and share some important lessons learned.

Toxicodynetics: A new discipline in clinical toxicology.

Science.gov (United States)

Baud, F J; Houzé, P; Villa, A; Borron, S W; Carli, P

2016-05-01

Regarding the different disciplines that encompass the pharmacology and the toxicology, none is specifically dedicated to the description and analysis of the time-course of relevant toxic effects both in experimental and clinical studies. The lack of a discipline devoted to this major field in toxicology results in misconception and even in errors by clinicians. Review of the basic different disciplines that encompass pharmacology toxicology and comparing with the description of the time-course of effects in conditions in which toxicological analysis was not performed or with limited analytical evidence. Review of the literature clearly shows how misleading is the current extrapolation of toxicokinetic data to the description of the time-course of toxic effects. A new discipline entitled toxicodynetics should be developed aiming at a more systematic description of the time-course of effects in acute human and experimental poisonings. Toxicodynetics might help emergency physicians in risk assessment when facing a poisoning and contribute to a better assessment of quality control of data collected by poison control centres. Toxicodynetics would also allow a quantitative approach to the clinical effects resulting from drug-drug interaction. Copyright © 2016. Published by Elsevier Masson SAS.

The History of Mathematics and Mathematical Education

Science.gov (United States)

Grattan-Guinness, I.

1977-01-01

Answers to questions which were asked after the author's various lectures in Australia are gathered here. Topics touched upon include "new" mathematics, unknown constants and free variables, propositional functions, linear algebra, arithmetic and geometry, and student assessment. (MN)

Racial Discipline Disproportionality in Montessori and Traditional Public Schools: A Comparative Study Using the Relative Rate Index

Directory of Open Access Journals (Sweden)

Katie E. Brown

2015-11-01

Full Text Available Research from the past 40 years indicates that African American students are subjected to exclusionary discipline, including suspension and expulsion, at rates two to three times higher than their White peers (Children’s Defense Fund, 1975; Skiba, Michael, Nardo, & Peterson, 2002. Although this phenomenon has been studied extensively in traditional public schools, rates of racially disproportionate discipline in public Montessori schools have not been examined. The purpose of this study is to examine racial discipline disproportionality in Montessori public elementary schools as compared to traditional elementary schools. The Relative Rate Index (RRI is used as a measure of racially disproportionate use of out-of-school suspensions (Tobin & Vincent, 2011. Suspension data from the Office of Civil Rights Data Collection was used to generate RRIs for Montessori and traditional elementary schools in a large urban district in the Southeast. While statistically significant levels of racial discipline disproportionality are found in both the Montessori and traditional schools, the effect is substantially less pronounced in Montessori settings. These findings suggest that Montessori schools are not immune to racially disproportionate discipline and should work to incorporate more culturally responsive classroom management techniques. Conversely, the lower levels of racially disproportionate discipline in the Montessori schools suggests that further study of discipline in Montessori environments may provide lessons for traditional schools to promote equitable discipline.

Intelligent mathematics II applied mathematics and approximation theory

CERN Document Server

Duman, Oktay

2016-01-01

This special volume is a collection of outstanding more applied articles presented in AMAT 2015 held in Ankara, May 28-31, 2015, at TOBB Economics and Technology University. The collection is suitable for Applied and Computational Mathematics and Engineering practitioners, also for related graduate students and researchers. Furthermore it will be a useful resource for all science and engineering libraries. This book includes 29 self-contained and well-edited chapters that can be among others useful for seminars in applied and computational mathematics, as well as in engineering.

Using a Summer REU to Help Develop the Next Generation of Mathematical Ecologists.

Science.gov (United States)

Bennie, Barbara; Eager, Eric Alan; Peirce, James P; Sandland, Gregory J

2018-04-01

Understanding the complexities of environmental issues requires individuals to bring together ideas and data from different disciplines, including ecology and mathematics. With funding from the national science foundation (NSF), scientists from the University of Wisconsin-La Crosse and the US geological survey held a research experience for undergraduates (REU) program in the summer of 2016. The goals of the program were to expose students to open problems in the area of mathematical ecology, motivate students to pursue STEM-related positions, and to prepare students for research within interdisciplinary, collaborative settings. Based on backgrounds and interests, eight students were selected to participate in one of two research projects: wind energy and wildlife conservation or the establishment and spread of waterfowl diseases. Each research program was overseen by a mathematician and a biologist. Regardless of the research focus, the program first began with formal lectures to provide students with foundational knowledge followed by student-driven research projects. Throughout this period, student teams worked in close association with their mentors to create, parameterize and evaluate ecological models to better understand their systems of interest. Students then disseminated their results at local, regional, and international meetings and through publications (one in press and one in progress). Direct and indirect measures of student development revealed that our REU program fostered a deep appreciation for and understanding of mathematical ecology. Finally, the program allowed students to gain experiences working with individuals with different backgrounds and perspectives. Taken together, this REU program allowed us to successfully excite, motivate and prepare students for future positions in the area of mathematical biology, and because of this it can be used as a model for interdisciplinary programs at other institutions.

Tests of the mitigating effects of caring and supportive relationships in the study of abusive disciplining over two generations.

Science.gov (United States)

Herrenkohl, Todd I; Klika, J Bart; Brown, Eric C; Herrenkohl, Roy C; Leeb, Rebecca T

2013-10-01

To examine evidence of the continuity in abusive discipline across two generations (G1 and G2) and the role of safe, stable, and nurturing relationships (SSNRs) as protective factors. Data are from the Lehigh Longitudinal Study, a prospective investigation of the causes and consequences child maltreatment that began in the 1970s with a sample of 457 children and their parents. Data were most recently collected in 2008-2010 from 80% of the original child sample (N = 357) when they were adults age 36 years on average. Of those assessed as adults, 268 participants (G2s) were parenting children and thus comprise the analysis sample. Analyses examined the association between harsh physical discipline practices by G1 parents and G2's reports of similarly severe discipline practices used in parenting their own children. Analyses also investigated the direct and interactive (protective) effects of SSNR variables that pertain to the care, warmth, and support children received from their mothers, fathers, and siblings over their lifetimes. A measure of an adult partner's warmth and support was also included. A case-level examination of G2 harsh discipliners was included to investigate other forms of past and more recent forms of abuse exposure. Results show a significant predictive association between physical discipline by G1 and G2 parents (β = .30; p disciplined as a child was inversely related to reports of having had a caring relationship with one's mother (r = -.25; p discipline by G2s (β = -.24; p discipline on G2 discipline. A case-level examination of the abusive histories of G2 harsh discipliners found they had in some instances been exposed to physical and emotional abuse by multiple caregivers and by adult partners. There is continuity in physical disciplining over two generations. SSNRs measured in this study did not mediate or moderate the effect of G1 on G2 harsh physical discipline, although care and support from fathers was inversely related to the

Lectures on Applications-Oriented Mathematics

CERN Document Server

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.

The Transition to Formal Thinking in Mathematics

Science.gov (United States)

Tall, David

2008-01-01

This paper focuses on the changes in thinking involved in the transition from school mathematics to formal proof in pure mathematics at university. School mathematics is seen as a combination of visual representations, including geometry and graphs, together with symbolic calculations and manipulations. Pure mathematics in university shifts…

Dictionary of scientific units including dimensionless numbers and scales

National Research Council Canada - National Science Library

Jerrard, H.G; McNeill, D.B

1992-01-01

.... The text includes the most recently accepted values of all units. Several disciplines, which have in the past employed few scientific principles and the dictionary has been extended to include examples of these.

School Discipline, Investment, Competitiveness and Mediating Educational Performance

Science.gov (United States)

Krskova, Hana; Baumann, Chris

2017-01-01

Purpose: The purpose of this paper is to combine seemingly unrelated factors to explain global competitiveness. The study argues that school discipline and education investment affect competitiveness with the association being mediated by educational performance. Crucially, diachronic effects of discipline on performance are tested to demonstrate…

Assessment of gender understanding of classroom discipline in ...

African Journals Online (AJOL)

The study aimed to establish females and males primary teachers' understanding of classroom discipline, the strategies that they apply in dealing with misbehaviour and their knowledge and awareness of discipline models. The study applied a mixed method approach, the dominant less dominant format. Both females and ...

Corporate Communication as a Discipline: Toward a Definition.

Science.gov (United States)

Argenti, Paul A.

1996-01-01

Finds that, of the disciplines under discussion in this special issue, corporate communication is the newest, least understood, and the only one specifically related to a functional area within organizations. Defines corporate communication as a discipline. Examines how it relates to other subdisciplines under consideration (management…

The discipline of improvement: something old, something new?

Science.gov (United States)

Clarke, Charlotte L; Reed, Jan; Wainwright, David; McClelland, Siobhan; Swallow, Veronica; Harden, Jane; Walton, Graham; Walsh, Anna

2004-03-01

In response to calls to improve the efficacy of health care services, there is an increasing focus on the processes of achieving a continuous improvement of services and practices. One specific response is that of the NHS Modernization Agency and National Health Service University in relation to the Discipline of Improvement in Health and Social Care. This paper draws on a study that explored the underpinning knowledge base of the Discipline of Improvement and focuses on describing the framework that was developed. The two-dimensional framework is composed of five primary categories, which cross-link to 11 competencies. The study concludes that the Discipline of Improvement draws together a group of ideas that together cohere to form a distinctive model to aid the improvement of health care. While some of these ideas are well-established, the way in which the Discipline of Improvement makes connections between them offers something new to our understanding of change in the complex world of health care provision, and to nursing management.

Transforming Ethnomathematical Ideas in Western Mathematics Curriculum Texts

Science.gov (United States)

Dickenson-Jones, Amelia

2008-01-01

When ethnomathematical ideas, that is, the mathematical ideas of different cultural groups, are included in mathematics curriculum texts they can become part of the learning experience in various ways. Once included in western classroom mathematics texts, the ethnomathematical ideas become transformed. The transformations involve changes in form…

Human rights values or cultural values? Pursuing values to maintain positive discipline in multicultural schools

Directory of Open Access Journals (Sweden)

Petro du Preez

2010-01-01

Full Text Available Discussions on discipline in education often accentuate corporal punishment or measures to infuse moral fibre. In addition, many authors argue that inculcating a particular value system can promote discipline in schools. This could however be profoundly problematic in the light of the Constitution. We argue that positive discipline in multicultural school environments needs to be based in part on human rights values that are neither solely universally interpreted nor particularistically interpreted. We report on the data generated at a research workshop held as the final dissemination process of a four-year international research project entitled "Understanding human rights through different belief systems: intercultural and interreligious dialogue". Dialogue was chosen as a form of data gathering since it is more spontaneous than conventional questioning techniques and can thus generate more naturally occurring data to strengthen the outcomes of the project. It appears that some teachers believe discipline can only be maintained through the elevation of cultural values (particularism. We argue that schools should start negotiating, at the most basic level, the values, including emancipatory, human rights values, and cultural values, which could underpin positive discipline in multicultural schools. Drawing solely on cultural values is not only unlikely to solve the problem of discipline, but could also undermine the efforts to transform our diverse, democratic society.

About the Effectiveness of the Training Technology Model of Trigonometry Teaching for the Mathematical Profile Students

Directory of Open Access Journals (Sweden)

N. I. Popov

2013-01-01

Full Text Available The paper is devoted to trigonometry teaching in higher school as a part of the elementary mathematics course with a complex hierarchical structure. Due to the complicated content of the given discipline,each of its modules can be divided into separate themes; though, the teacher should emphasize their interrelations, as well as the links with the coordinate method, geometry and mathematical analysis.The recommended training technology model allows the teacher to build up and control the training process, and achieve good results in accordance with the assigned tasks. In the course of the model approbation, theauthor developed the e-learning resource and identification method for selecting the key mathematical examples and exercises for each theme and module. The analysis of students’ tests and questionnaires conducted for several years proves the effectiveness of the designed model for the senior university students of mathematical profile. Based on the research findings, the author developed the educational methodology complex for the Basics of Trigonometry course.

Educational Administration as a Historical Discipline: An "Apologia Pro Vita Historia"

Science.gov (United States)

Samier, Eugenie

2006-01-01

This paper discusses the contributions history can make to educational administration and how history needs to be conceptualised as a humanities discipline to serve this purpose, including two aspects of the field of particular relevance to educational administration and leadership, biography and comparative studies. The value of history is…

Practical Guide to Discipline and Behavior Management for Teachers and Parents.

Science.gov (United States)

Ross, Peter A.

Almost every teacher and parent encounters children with behavior problems. Social changes, including an increasingly violent and information-based society, affect ways in which children view and function in the world. Teachers and parents need to have greater understanding and skill in implementing discipline strategies. This guide presents…

Humanitarian Aspirations of Engineering Students: Differences between Disciplines and Institutions

Directory of Open Access Journals (Sweden)

Angela R. Bielefeldt

2016-03-01

Full Text Available This study explored the aspirations of undergraduate engineering students in regard to helping others, examining potential differences between disciplines and institutions. Over 1900 undergraduate students from 17 U.S. universities responded to a survey in spring 2014. In open-ended responses, 15.5% of the students included some form of helping people and/or the world as one of the factors that motivated them to select their engineering major; for 6.7% of the students this was the primary or only motivating factor listed. Helping as a motivation was not equally prevalent among different engineering disciplines, being much more common among students majoring in biomedical, environmental, materials, and civil and less common in computer and aerospace. Different disciplines also varied in the priority for helping people relative to other future job factors - highest in chemical/biological, moderate in civil and related majors, and lowest among electrical/computer and mechanical. Institutional differences were found in the extent to which students indicated an importance that their career would help people and the extent to which an ability to help others was a central message in their major. The results indicate the percentages of engineering students who are most likely to embrace humanitarian engineering; fostering these aspirations in students could help with attraction and retention.

An introduction to mathematical modeling of infectious diseases

CERN Document Server

Li, Michael Y

2018-01-01

This text provides essential modeling skills and methodology for the study of infectious diseases through a one-semester modeling course or directed individual studies.  The book includes mathematical descriptions of epidemiological concepts, and uses classic epidemic models to introduce different mathematical methods in model analysis.  Matlab codes are also included for numerical implementations. It is primarily written for upper undergraduate and beginning graduate students in mathematical sciences who have an interest in mathematical modeling of infectious diseases.  Although written in a rigorous mathematical manner, the style is not unfriendly to non-mathematicians.

Predicting Relationships between Mathematics Anxiety, Mathematics Teaching Anxiety, Self-efficacy Beliefs towards Mathematics and Mathematics Teaching

OpenAIRE

Unlu, Melihan; Ertekin, Erhan; Dilmac, Bulent

2017-01-01

The purpose of the research is to investigate the relationships betweenself-efficacy beliefs toward mathematics, mathematics anxiety and self-efficacybeliefs toward mathematics teaching, mathematics teaching anxiety variables andtesting the relationships between these variables with structural equationmodel. The sample of the research, which was conducted in accordance withrelational survey model, consists of 380 university students, who studied atthe department of Elementary Mathematics Educ...

21st Century Mathematics

Science.gov (United States)

Seeley, Cathy

2004-01-01

This article addresses some important issues in mathematics instruction at the middle and secondary levels, including the structuring of a district's mathematics program; the choice of textbooks and use of calculators in the classroom; the need for more rigorous lesson planning practices; and the dangers of teaching to standardized tests rather…

Skill Games for Mathematics.

Science.gov (United States)

Corle, Clyde G.

This guide is to assist teachers with motivational ideas for teaching elementary school mathematics. The items included are a wide variety of games (paper and pencil, verbal, and physical), jingles, contests, teaching devices, and thought provoking exercises. Suggestions for selection of mathematical games are offered. The devices are used to…

Bank Insolvency Procedures and Market Discipline in European Banking

OpenAIRE

Angkinand, Apanard; Wihlborg, Clas

2005-01-01

Market discipline in banking requires that explicit and implicit insurance schemes for financial sector firms are limited, and that the lack of insurance of important stakeholders is credible. This credibility cannot be achieved without transparent, predictable procedures for distress resolution for banks, including explicit rules for the liquidation of insolvent banks. We find that very few European countries have explicit procedures for dealing with problem banks. The propositions tested in...

Identification of Disciplines and Fields. Edis Task I Report, Work Unit 1.4.

Science.gov (United States)

Howard Research Co., Arlington, VA.

This report presents the identification and definitions of subject oriented engineering and scientific disciplines and fields which are included in the EDIS Subject Categories. The discussion is extended to include the mix of subjects with other orientations, such as Item, Mission-Project, Expertise and Data Bank Categories. Sample queries are…

Psychiatric epidemiology, or the story of a divided discipline.

Science.gov (United States)

Demazeux, Steeves

2014-08-01

This article traces the historical decisions, concepts and key professional collaborations that laid the foundations for the formation of American psychiatric epidemiology during the 20th century, up to the discipline's institutional consolidation, circa 1980, when the third edition of the Diagnostic and Statistical Manual of Mental Disorders (DSM-III) was published. Thomas Kuhn's 'disciplinary matrix' is mobilized as a framework that allows the institutional and intellectual construction of a discipline to be analysed as separate but intertwined components, without assuming that the two evolve in tandem. The identification of the strengths as well as the frailties and internal divisions of the discipline as it developed reveals a paradoxical situation: a time lag between psychiatric epidemiology's institutionalization and public recognition, on the one hand; and the weak coherence of its intellectual components, on the other hand. We briefly trace the origins of split among the discipline's aetiological models of mental disorders and suggest that the lack of coherence among them has prevented psychiatric epidemiology from achieving the status of a normal scientific discipline, in the Kuhnian sense. Without a more explicit attention to the intellectual rationale of the discipline, psychiatric epidemiology will continue to maintain a strong institutional dimension and weak intellectual matrix. © The Author 2014; all rights reserved. Published by Oxford University Press on behalf of the International Epidemiological Association.

Discrete mathematics using a computer

CERN Document Server

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...

Architectural anthropology – potentials and pitfalls of mixing disciplines

DEFF Research Database (Denmark)

Stender, Marie

approaches to e.g. understand and involve users, clients and citizens. Several other disciplines currently also approach and embrace anthropological methods, and new sub-disciplines such as design anthropology, architectural anthropology, business anthropology and techno-anthropology have emerged...... these cross-disciplinary and applied settings, and how it may contribute to anthropology in general. Based on research and teaching in the field of architectural anthropology, the paper discuss the potentials and pitfalls of mixing approaches from the two disciplines using examples of architects’ approaches...

Discipline Admonished

DEFF Research Database (Denmark)

Kristensen, Peter Marcus

2016-01-01

that the stocktaking genre — past and present — is conducive to seeing the past as more simple, coherent and ordered while the present is marked by fragmentation and cacophony. Neat summaries of the academic scene in one’s own time are quite rare. Few stocktakers ever identified one conversation/debate driving...... the discipline, not during the first, second, third or fourth debates — and those who did disagreed on what the main trenches and its warriors were. The article concludes by arguing that International Relations’ recurrent anxieties about its fragmentation beg questions, not about whether it is real this time...

ICMI 1966-2016: A Double Insiders' View of the Latest Hal Century of the International Commission on Mathematical Instruction

DEFF Research Database (Denmark)

Hodgson, Bernard; Niss, Mogens Allan

2018-01-01

This paper concentrates on the latest five decades of the International Commission on Mathematical Instruction. We had the privilege of occupying leading positions within ICMI for roughly half the period under consideration, which has provided us with a unique standpoint for identifying and refle......This paper concentrates on the latest five decades of the International Commission on Mathematical Instruction. We had the privilege of occupying leading positions within ICMI for roughly half the period under consideration, which has provided us with a unique standpoint for identifying...... and reflecting on main trends and developments of the relationship between ICMI and mathematics education. The years 1966–2016 have seen marked trends and developments in mathematics teaching and learning around the world, at the same time as mathematics education as a scientific discipline came of age...... and matured. ICMI as an organisation has not only observed these developments but has also been a key player in charting and analysing them, as well as in fostering and facilitating (some of) them. We offer, here, observations, analyses and reflections on key issues in mathematics education as perceived by us...

Bottle Caps as Prekindergarten Mathematical Tools

Science.gov (United States)

Raisor, Jill M.; Hudson, Rick A.

2018-01-01

Early childhood provides a time of crucial growth in all developmental domains. Prekindergarten is an optimal time for young children to use objects of play as a medium to explore new cognitive concepts, including mathematical structure. Mathematical structure plays an important role in providing students a means to reason about mathematics,…

Discipline and Due Process.

Science.gov (United States)

Collins, Mildred; Dowell, Mary L.

1998-01-01

Increasing numbers of parents do not accept a school's discipline policy and are refusing to permit their children to comply with disciplinary sanctions. According to the California Education Code, educators have the right to expect parents to accept disciplinary decisions made in compliance with required procedures. Parental defiance might worsen…

Mathematical epidemiology

CERN Document Server

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...

How working on mathematics impacts primary teaching: Mathematics Specialist Teachers make the connections

OpenAIRE

Hilton, C.; Houssart, J.

2014-01-01

We draw on analysis of assignments by primary teachers as part of the assessment for the Mathematics Specialist Teachers programme (MaST). In the assignment teachers are asked to work on some mathematics themselves, write up the mathematical part of their work then write about how this experience has impacted on their practice as a primary teacher. We focus first on case studies of teachers who included algebraic work in the first part of their assignments and look at what they say about the ...

Mathematics Education and Language Diversity

DEFF Research Database (Denmark)

Moschkovich, Judit; Planas, Nuria

This book examines multiple facets of language diversity and mathematics education. It features renowned authors from around the world and explores the learning and teaching of mathematics in contexts that include multilingual classrooms, indigenous education, teacher education, blind and deaf...

Predicting Relationships between Mathematics Anxiety, Mathematics Teaching Anxiety, Self-Efficacy Beliefs towards Mathematics and Mathematics Teaching

Science.gov (United States)

Unlu, Melihan; Ertekin, Erhan; Dilmac, Bulent

2017-01-01

The purpose of the research is to investigate the relationships between self-efficacy beliefs toward mathematics, mathematics anxiety and self-efficacy beliefs toward mathematics teaching, mathematics teaching anxiety variables and testing the relationships between these variables with structural equation model. The sample of the research, which…

Mathematical models, rational choice, and the search for Cold War culture.

Science.gov (United States)

Erickson, Paul

2010-06-01

A key feature of the social, behavioral, and biological sciences after World War II has been the widespread adoption of new mathematical techniques drawn from cybernetics, information theory, and theories of rational choice. Historians of science have typically sought to explain this adoption either by reference to military patronage, or to a characteristic Cold War culture or discursive framework strongly shaped by the concerns of national security. This essay explores several episodes in the history of game theory--a mathematical theory of rational choice--that demonstrate the limits of such explanations. Military funding was indeed critical to game theory's early development in the 1940s. However, the theory's subsequent spread across disciplines ranging from political science to evolutionary biology was the result of a diverse collection of debates about the nature of "rationality" and "choice" that marked the Cold War era. These debates are not easily reduced to the national security imperatives that have been the focus of much historiography to date.

Transcending the discipline

OpenAIRE

2009-01-01

The international U&U seminar invites PhD work which addresses the discipline of urbanism, and encourages contributions that highlight its trans-disciplinary nature. Urbanism is grounded in various practices, discourses and realities with respect to the city. The seminar will focus on multiple approaches – from historic enquiry to project-led analysis – and cover a wide range of spaces and scales - from territories to neighborhoods, from landscapes to cityscapes. The seminar seeks contributio...

Construction of Hypertexts in a Biochemistry Pos- Graduation Discipline

OpenAIRE

W.B. Maia; B.S. dos Santos; J.M. Martins; B.C. Araujo; A.A. Pimenta Filho; T.G. Araújo; M.C. Martins; C.R.F.C. Mota; A.L. Castro- Neto; V.L.M. Lima,

2009-01-01

Virtual reality is an innovating manner of comprehending and acting on how the world is and, also, considered a new way of intellectual exercise.  This work took place in a  biochemistry masters discipline (Advanced Formation in ScientificEducation) and had as its observation context the forum (on-line tool) viability, intending the construction of hypertexts (active  collaborative writing ) by the 15 registered students in the  discipline in 2008. The discipline was available on the web, in ...

Spatial Processing in Infancy Predicts Both Spatial and Mathematical Aptitude in Childhood.

Science.gov (United States)

Lauer, Jillian E; Lourenco, Stella F

2016-10-01

Despite considerable interest in the role of spatial intelligence in science, technology, engineering, and mathematics (STEM) achievement, little is known about the ontogenetic origins of individual differences in spatial aptitude or their relation to later accomplishments in STEM disciplines. The current study provides evidence that spatial processes present in infancy predict interindividual variation in both spatial and mathematical competence later in development. Using a longitudinal design, we found that children's performance on a brief visuospatial change-detection task administered between 6 and 13 months of age was related to their spatial aptitude (i.e., mental-transformation skill) and mastery of symbolic-math concepts at 4 years of age, even when we controlled for general cognitive abilities and spatial memory. These results suggest that nascent spatial processes present in the first year of life not only act as precursors to later spatial intelligence but also predict math achievement during childhood.

Mathematics year 5 answers

CERN Document Server

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

Problem posing as a didactic resource in formal mathematics courses to train future secondary school mathematics teachers

Directory of Open Access Journals (Sweden)

Lorena Salazar Solórzano

2015-06-01

Full Text Available Beginning university training programs must focus on different competencies for mathematics teachers, i.e., not only on solving problems, but also on posing them and analyzing the mathematical activity. This paper reports the results of an exploratory study conducted with future secondary school mathematics teachers on the introduction of problem-posing tasks in formal mathematics courses, specifically in abstract algebra and real analysis courses. Evidence was found that training which includes problem-posing tasks has a positive impact on the students’ understanding of definitions, theorems and exercises within formal mathematics, as well as on their competency in reflecting on the mathematical activity. 

Computational experiment approach to advanced secondary mathematics curriculum

CERN Document Server

Abramovich, Sergei

2014-01-01

This book promotes the experimental mathematics approach in the context of secondary mathematics curriculum by exploring mathematical models depending on parameters that were typically considered advanced in the pre-digital education era. This approach, by drawing on the power of computers to perform numerical computations and graphical constructions, stimulates formal learning of mathematics through making sense of a computational experiment. It allows one (in the spirit of Freudenthal) to bridge serious mathematical content and contemporary teaching practice. In other words, the notion of teaching experiment can be extended to include a true mathematical experiment. When used appropriately, the approach creates conditions for collateral learning (in the spirit of Dewey) to occur including the development of skills important for engineering applications of mathematics. In the context of a mathematics teacher education program, this book addresses a call for the preparation of teachers capable of utilizing mo...

Gender and participation in mathematics and further mathematics A-levels: a literature review for the Further Mathematics Support Programme

OpenAIRE

Smith, Cathy

2014-01-01

In preparing this report I have considered evidence from over 60 documents that relate to raising girls’ participation in mathematics. These include published research papers and reports compiled by expert bodies that present an evidence base. Although research specifically addressing Further Mathematics A-level is rare, the last ten years have seen considerable efforts to synthesise and update knowledge from different research perspectives about the relationship between gender...

Mathematical Interventions for Secondary Students with Learning Disabilities and Mathematics Difficulties: A Meta-Analysis

Science.gov (United States)

Jitendra, Asha K.; Lein, Amy E.; Im, Soo-hyun; Alghamdi, Ahmed A.; Hefte, Scott B.; Mouanoutoua, John

2018-01-01

This meta-analysis is the first to provide a quantitative synthesis of empirical evaluations of mathematical intervention programs implemented in secondary schools for students with learning disabilities and mathematics difficulties. Included studies used a treatment-control group design. A total of 19 experimental and quasi-experimental studies…

Desegregating undergraduate mathematics and biology--interdisciplinary instruction with emphasis on ongoing biomedical research.

Science.gov (United States)

Robeva, Raina

2009-01-01

The remarkable advances in the field of biology in the last decade, specifically in the areas of biochemistry, genetics, genomics, proteomics, and systems biology, have demonstrated how critically important mathematical models and methods are in addressing questions of vital importance for these disciplines. There is little doubt that the need for utilizing and developing mathematical methods for biology research will only grow in the future. The rapidly increasing demand for scientists with appropriate interdisciplinary skills and knowledge, however, is not being reflected in the way undergraduate mathematics and biology courses are structured and taught in most colleges and universities nationwide. While a number of institutions have stepped forward and addressed this need by creating and offering interdisciplinary courses at the juncture of mathematics and biology, there are still many others at which there is little, if any, interdisciplinary interaction between the curricula. This chapter describes an interdisciplinary course and a textbook in mathematical biology developed collaboratively by faculty from Sweet Briar College and the University of Virginia School of Medicine. The course and textbook are designed to provide a bridge between the mathematical and biological sciences at the lower undergraduate level. The course is developed for and is being taught in a liberal arts setting at Sweet Briar College, Virginia, but some of the advanced modules are used in a course at the University of Virginia for advanced undergraduate and beginning graduate students. The individual modules are relatively independent and can be used as stand-alone projects in conventional mathematics and biology courses. Except for the introductory material, the course and textbook topics are based on current biomedical research.

In accordance with a "more majestic order". The new math and the nature of mathematics at midcentury.

Science.gov (United States)

Phillips, Christopher J

2014-09-01

The "new math" curriculum, one version of which was developed in the 1950s and 1960s by the School Mathematics Study Group under the auspices of the National Science Foundation, occasioned a great deal of controversy among mathematicians. Well before its rejection by parents and teachers, some mathematicians were vocal critics, decrying the new curriculum because of the way it described the practice and history of the discipline. The nature of mathematics, despite the field's triumphs in helping to win World War II and its midcentury promotion as the key to a modern technological society, was surprisingly contested in this period. Supporters of the School Mathematics Study Group, like its director, Edward Begle, emphasized the importance of portraying mathematics as a system of abstract structures, while opponents like Morris Kline argued that math was essentially a tool for understanding the natural world. The debate about the curriculum--and the role of mathematicians in its design--was also a debate about the underlying identity of the subject itself.

The Discipline Controversy Revisited.

Science.gov (United States)

Baumrind, Diana

1996-01-01

Found that neither the authoritative model nor the liberal (permissive) model offers parents an efficacious model of childrearing. Each polarized model contains an element of truth, but each demonizes the other. Argues that within a responsive and supportive parent-child relationship, prudent use of punishment is a necessary tool in discipline.…

Early Determinants of Maternal and Paternal Harsh Discipline: The Generation R Study

Science.gov (United States)

Jansen, Pauline W.; Raat, Hein; Mackenbach, Johan P.; Hofman, Albert; Jaddoe, Vincent W. V.; Bakermans-Kranenburg, M. J.; van IJzendoorn, M. H.; Verhulst, Frank C.; Tiemeier, Henning

2012-01-01

Research described risk factors for maternal use of harsh discipline, but knowledge about determinants of paternal harsh discipline is lacking. This study aimed to identify determinants of harsh discipline and whether this differed between mothers and fathers. Harsh disciplining practices were self-reported by Dutch parents of 3-year-old children.…

Mathematical Perspectives

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.

A Spiral And Discipline-Oriented Curriculum In Medical Imaging

DEFF Research Database (Denmark)

Wilhjelm, Jens E.; Hanson, Lars G.; Henneberg, Kaj-Åge

2011-01-01

This contribution describes and evaluates an experimental combination of a spiral and discipline-oriented curriculum implemented in the bachelor’s and master’s program in Medicine and Technology. The implementation in the master’s program is in the form of a study line in Medical Imaging and Radi......This contribution describes and evaluates an experimental combination of a spiral and discipline-oriented curriculum implemented in the bachelor’s and master’s program in Medicine and Technology. The implementation in the master’s program is in the form of a study line in Medical Imaging...... and Radiation Physics containing three disciplines: Imaging modalities, Radiation therapy and Image processing. The two imaging courses in the bachelor’s program and the first imaging course in the master’s program follow a spiral curriculum in which most disciplines are encountered in all courses......, but in a gradually more advanced manner. The remaining courses in the master’s program follow a discipline-oriented curriculum. From a practical point of view, the spiral course portfolio works well in an undergraduate environment, where the courses involved are to be taken by all students and in the order planned...

The mathematical works of Bernard Bolzano

CERN Document Server

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,

Episodes in the mathematics of medieval Islam

CERN Document Server