Development of Guided Inquiry-Based Student Lab Worksheet on the Making of Pineapple Flavoring

Science.gov (United States)

Dwiyanti, G.; Suryatna, A.; Taibah, I.

2017-02-01

The aim of this research was to develop guided inquiry based student lab worksheet on making pineapple flavour and knowing the quality of worksheet that is being developed. Research methods that is being conducted is research and development that is limited by a preliminary studies (literature studies, field surveys, and preparation of the initial product) and development of the model (within limited testing). The results from analyze the books sources and fields survey showed that the characteristic of esterification lab worksheet that currently available still in the direct instruction form (cookbook). The optimization result of making pineapple flavour experiment that was conducted are the ethanol volume 3 mL, butyric acid volume 2 mL, sulfuric acid 5 drops, saturated NaHCO3 solution volume 9 mL, and temperature of heating was 80 °C. The characteristic of guided inquiry based student lab worksheet that was developed contained phenomenon and instructions that suitable with inquiry stages to guide the students in doing the experiment of making pineapple flavour. The evaluation of designated teachers and lecturers of the developed student worksheet were very good (96,08%). Lab-experiment feasibility achieved by using guided inquiry based student lab worksheets that is being developed based on the inquiry stages that conducted by student were found very good (97,50%) and accomplishment based on students’ answer of the tasks in the worksheet were found very good (83,84%). Students’ responses of the experiments using the developed worksheet are found very good (81,84%).

Effect of Worksheet Scaffolds on Student Learning in Problem-Based Learning

Science.gov (United States)

Choo, Serene S. Y.; Rotgans, Jerome I.; Yew, Elaine H. J.; Schmidt, Henk G.

2011-01-01

The purpose of this study was to investigate the effect of worksheets as a scaffolding tool on students' learning achievement in a problem-based learning (PBL) environment. Seventeen PBL classes (N = 241) were randomly assigned to two experimental groups--one with a worksheet provided and the other without. Students' learning of the topic at hand…

Laboratory Activity Worksheet to Train High Order Thinking Skill of Student on Surface Chemistry Lecture

Science.gov (United States)

Yonata, B.; Nasrudin, H.

2018-01-01

A worksheet has to be a set with activity which is help students to arrange their own experiments. For this reason, this research is focused on how to train students’ higher order thinking skills in laboratory activity by developing laboratory activity worksheet on surface chemistry lecture. To ensure that the laboratory activity worksheet already contains aspects of the higher order thinking skill, it requires theoretical and empirical validation. From the data analysis results, it shows that the developed worksheet worth to use. The worksheet is worthy of theoretical and empirical feasibility. This conclusion is based on the findings: 1) Assessment from the validators about the theoretical feasibility aspects in the category is very feasible with an assessment range of 95.24% to 97.92%. 2) students’ higher thinking skill from N Gain values ranges from 0.50 (enough) to 1.00 (high) so it can be concluded that the laboratory activity worksheet on surface chemistry lecture is empirical in terms of worth. The empirical feasibility is supported by the responses of the students in very reasonable categories. It is expected that the laboratory activity worksheet on surface chemistry lecture can train students’ high order thinking skills for students who program surface chemistry lecture.

A CASE STUDY: WORKSHEETS USED IN A LANGUAGE PREPARATORY SCHOOL IN HIGHER EDUCATION

Directory of Open Access Journals (Sweden)

Buket KASAP

2016-12-01

Full Text Available The aim of this case study is to analyze the supplementary instructional materials, namely worksheets, used in an English preparatory school in one of the Turkish universities. The data were gathered from the materials development unit of the school. Using the content analysis method, worksheets from 2015 spring and 2016 spring terms were analyzed. The findings revealed that most worksheets included decontextualized, repetitive grammar activities though the theme-based course book included integrated skills activities, appealing various learning styles. It was also observed that students were evaluated based on their proficiency in basic four skills while they studied mostly grammar based worksheets. As a result, a shift to a more eclectic method which caters for all learning styles and equally includes all skills is suggested to the school board.

Mathematical methods linear algebra normed spaces distributions integration

CERN Document Server

Korevaar, Jacob

1968-01-01

Mathematical Methods, Volume I: Linear Algebra, Normed Spaces, Distributions, Integration focuses on advanced mathematical tools used in applications and the basic concepts of algebra, normed spaces, integration, and distributions.The publication first offers information on algebraic theory of vector spaces and introduction to functional analysis. Discussions focus on linear transformations and functionals, rectangular matrices, systems of linear equations, eigenvalue problems, use of eigenvectors and generalized eigenvectors in the representation of linear operators, metric and normed vector

77 FR 20890 - Proposed Information Collection (Interest Rate Reduction Refinancing Loan Worksheet) Activity...

Science.gov (United States)

2012-04-06

... (Interest Rate Reduction Refinancing Loan Worksheet) Activity: Comment Request AGENCY: Veterans Benefits... to determine whether lenders computed the loan amount on interest rate reduction refinancing loans.... Title: Interest Rate Reduction Refinancing Loan Worksheet, VA Form 26-8923. OMB Control Number: 2900...

Space Mathematics, A Resource for Teachers Outlining Supplementary Space-Related Problems in Mathematics.

Science.gov (United States)

Reynolds, Thomas D.; And Others

This compilation of 138 problems illustrating applications of high school mathematics to various aspects of space science is intended as a resource from which the teacher may select questions to supplement his regular course. None of the problems require a knowledge of calculus or physics, and solutions are presented along with the problem…

The Vector Space as a Unifying Concept in School Mathematics.

Science.gov (United States)

Riggle, Timothy Andrew

The purpose of this study was to show how the concept of vector space can serve as a unifying thread for mathematics programs--elementary school to pre-calculus college level mathematics. Indicated are a number of opportunities to demonstrate how emphasis upon the vector space structure can enhance the organization of the mathematics curriculum.…

Transparency masters for mathematics revealed

CERN Document Server

Berman, Elizabeth

1980-01-01

Transparency Masters for Mathematics Revealed focuses on master diagrams that can be used for transparencies for an overhead projector or duplicator masters for worksheets. The book offers information on a compilation of master diagrams prepared by John R. Stafford, Jr., audiovisual supervisor at the University of Missouri at Kansas City. Some of the transparencies are designed to be shown horizontally. The initial three masters are number lines and grids that can be used in a mathematics course, while the others are adaptations of text figures which are slightly altered in some instances. The

75 FR 45600 - Information Collection; Customer Data Worksheet Request for Service Center Information Management...

Science.gov (United States)

2010-08-03

... DEPARTMENT OF AGRICULTURE Farm Service Agency Information Collection; Customer Data Worksheet Request for Service Center Information Management System (SCIMS) Record Changes AGENCY: Farm Service... Customer Data Worksheet Request for Service Center Information Management System (SCIMS) that contains the...

The Use of Song Worksheet to Enhance EFL Elementary School Students’ Vocabulary Mastery

Directory of Open Access Journals (Sweden)

Ahmad Fadhli

2017-01-01

Full Text Available This study aimed to enhance students’ vocabulary mastery through the use of song worksheet. Twenty -two fourth graders of an elementary school in Indonesia were selected as participants. Action research was adopted in this study consisting of three cycles. To find out students’ achievement, vocabulary test was given. To investigate students’ responses, observation and interview were implemented.Findings showed that song worksheet could enhance students’ vocabulary mastery. They also gave positive responses to the use of song worksheet. However, students complained that the songs were too fast. This study supports the use of songs in the EFL context which could make teaching - learning processes more fun

Investigating shape and space in mathematics: A case study | Kotze ...

African Journals Online (AJOL)

Evidence was obtained regarding mathematics teachers' and mathematics learners' knowledge of space and shape. Problems experienced in concept formation in geometry were investigated and analysed. An account is provided of how teachers and learners responded to problems related to space and shape.

PENGARUH PENDEKATAN AESOP’S BERBANTUAN GUIDANCE WORKSHEET TERHADAP HASIL BELAJAR SISWA

Directory of Open Access Journals (Sweden)

Mirza Pahlevi

2015-11-01

Full Text Available Learning activity will be fun and optimal when applied using an appropriate learning media. One approach that can be used by teachers in teaching is the Aesop's approach with media assisted of Guidance Worksheet. This study aimed to determine whether the use of the Aesop's approach with media assisted of Guidance Worksheet have significant effect on student learning outcomes in subject of hydrocarbons and wether it have  effectiveness after it applied on an high school student in Semarang. This study uses a real experiment design. The sampling technique used is cluster random sampling, one class was as an experimental class using the Aesop's approach with media assisted of Guidance Worksheet while one class was as a control class using conventional methods. The intake of data research were obtained through the method of documentation, testing, observation and questionnaires. The average grade of post test in experimental class is 86.80 while in control class is 80.64. Hypothesis testing obtained t count (4,858 > t table (1,99, which means that an average grade of cognitive learning outcomes in experiment class was better than the control class. It can be concluded that the Aesop's approach with media assisted of Guidance Worksheet had an effect on chemistry learning outcomes of hydrocarbon subject and it increase the effectiveness of student learning.

76 FR 69738 - Revised 2011 Annual Telecommunications Reporting Worksheet (FCC Form 499-A) and Accompanying...

Science.gov (United States)

2011-11-09

... Telecommunications Reporting Worksheet (FCC Form 499-A) and Accompanying Instructions AGENCY: Federal Communications... Telecommunications Reporting Worksheet (FCC Form 499-A) and accompanying instructions that have been approved by the... INFORMATION CONTACT: Ernesto Beckford, Wireline Competition Bureau, Telecommunications Access Policy Division...

Developing Student Worksheet Based On Higher Order Thinking Skills on the Topic of Transistor Power Amplifier

Science.gov (United States)

Sardia Ratna Kusuma, Luckey; Rakhmawati, Lusia; Wiryanto

2018-04-01

The purpose of this study is to develop a student worksheet about the transistor power amplifier based on higher order thinking skills include critical, logical, reflective, metacognitive, and creative thinking, which could be useful for teachers in improving student learning outcomes. Research and Development (R & D) methodology was used in this study. The pilot study of the worksheet was carried out with class X AV 2 at SMK Negeri 5 Surabaya. The result showed satisfies aspect of validity with 81.76 %, and effectiveness (students learning outcomes is classically passed out with percentage of 82.4 % and the students gave positive responses to the student worksheet of each statement. It can be concluded that this worksheet categorized good and worthy to be used as a source of learning in the learning activities.

Validity of Students Worksheet Based Problem-Based Learning for 9th Grade Junior High School in living organism Inheritance and Food Biotechnology.

Science.gov (United States)

Jefriadi, J.; Ahda, Y.; Sumarmin, R.

2018-04-01

Based on preliminary research of students worksheet used by teachers has several disadvantages such as students worksheet arranged directly drove learners conduct an investigation without preceded by directing learners to a problem or provide stimulation, student's worksheet not provide a concrete imageand presentation activities on the students worksheet not refer to any one learning models curicullum recommended. To address problems Reviews these students then developed a worksheet based on problem-based learning. This is a research development that using Ploom models. The phases are preliminary research, development and assessment. The instruments used in data collection that includes pieces of observation/interviews, instrument self-evaluation, instruments validity. The results of the validation expert on student worksheets get a valid result the average value 80,1%. Validity of students worksheet based problem-based learning for 9th grade junior high school in living organism inheritance and food biotechnology get valid category.

Problem-Based Learning Model Used to Scientific Approach Based Worksheet for Physics to Develop Senior High School Students Characters

Science.gov (United States)

Yulianti, D.

2017-04-01

The purpose of this study is to explore the application of Problem Based Learning(PBL) model aided withscientific approach and character integrated physics worksheets (LKS). Another purpose is to investigate the increase in cognitive and psychomotor learning outcomes and to know the character development of students. The method used in this study was the quasi-experiment. The instruments were observation and cognitive test. Worksheets can improve students’ cognitive, psychomotor learning outcomes. Improvements in cognitive learning results of students who have learned using worksheets are higher than students who received learning without worksheets. LKS can also develop the students’ character.

Space Mathematics: A Resource for Secondary School Teachers

Science.gov (United States)

Kastner, Bernice

1985-01-01

A collection of mathematical problems related to NASA space science projects is presented. In developing the examples and problems, attention was given to preserving the authenticity and significance of the original setting while keeping the level of mathematics within the secondary school curriculum. Computation and measurement, algebra, geometry, probability and statistics, exponential and logarithmic functions, trigonometry, matrix algebra, conic sections, and calculus are among the areas addressed.

Computer Algebra Recipes for Mathematical Physics

CERN Document Server

Enns, Richard H

2005-01-01

Over two hundred novel and innovative computer algebra worksheets or "recipes" will enable readers in engineering, physics, and mathematics to easily and rapidly solve and explore most problems they encounter in their mathematical physics studies. While the aim of this text is to illustrate applications, a brief synopsis of the fundamentals for each topic is presented, the topics being organized to correlate with those found in traditional mathematical physics texts. The recipes are presented in the form of stories and anecdotes, a pedagogical approach that makes a mathematically challenging subject easier and more fun to learn. Key features: * Uses the MAPLE computer algebra system to allow the reader to easily and quickly change the mathematical models and the parameters and then generate new answers * No prior knowledge of MAPLE is assumed; the relevant MAPLE commands are introduced on a need-to-know basis * All MAPLE commands are indexed for easy reference * A classroom-tested story/anecdote format is use...

Implication of formative assessment practices among mathematics teacher

Science.gov (United States)

Samah, Mas Norbany binti Abu; Tajudin, Nor'ain binti Mohd

2017-05-01

Formative assessment of school-based assessment (SBA) is implemented in schools as a move to improve the National Education Assessment System (NEAS). Formative assessment focuses on assessment for learning. There are various types of formative assessment instruments used by teachers of mathematics, namely the form of observation, questioning protocols, worksheets and quizzes. This study aims to help teachers improve skills in formative assessments during the teaching and learning (t&l) Mathematics. One mathematics teacher had been chosen as the study participants. The collecting data using document analysis, observation and interviews. Data were analyzed narrative and assessments can help teachers implement PBS. Formative assessment is conducted to improve the skills of students in t&l effectively.

Mathematical aspects of the discrete space-time hypothesis

International Nuclear Information System (INIS)

Sardanashvili, G.A.

1979-01-01

A hypothesis of a microcosm space discreteness is considered from the theoretical-mathematical point of view. The type of topological spaces, which formalizes representations on the discrete space-time, is determined. It is explained, how these spaces arise in physical models. The physical task, in which the discrete space could arise as a version of its solution, is considered. It is shown that the discrete structure of space can arise with a certain interaction type in the system, for example, with its considerable self-shielding, which can take place, in particular, in the particles or in the cosmological and astrophysical singularities

Comparison of HuRAM+ and HERA for Development of Data Worksheet for Simulator based HERA Databank

International Nuclear Information System (INIS)

Choi, Sunyoung; Jung, Wondea

2013-01-01

We also compared the existing HERA methods and HERA database to select essential data fields. We performed a preliminary study to see the possibility to induce the operator's emergency operating procedure (EOP) noncompliance behaviors under a simulated emergency. The purpose of this paper is to compare the HuRAM + and HERA to obtain an insight into the construction of a data worksheet for a qualitative HERA. In this paper, we performed a case study for applying simulator training data to HuRAM + and HERA. With this insight, as well as the results of the researches mentioned above, we have a plan to develop a systematic and qualitative HERA and a data worksheet for the work. In this paper, we compared HuRAM + and HERA to obtain an insight into the construction of a data worksheet for a qualitative HERA and performed a case study. HERA requires a burden to analyze and input an event data due to too many data fields even though it is well designed to estimate Heaps. It is somewhat more convenient to input data into the HuRAM + ; however, it is difficult to analyze the organization and safety culture factors. We are now trying to develop the framework of a data worksheet for a qualitative HERA based on simulator training data. The purpose of our data worksheet is to provide key information for HEP estimation and to enhance the understanding of an operators' behavior under an off-normal plant status. We aim less encumbered means of obtaining the needed data for HERA by changing the existing data worksheet framework of HuRAM + and HERA and by reducing data fields that require reading the between the lines

Effectiveness of a worksheet for diagnosing postmortem computed tomography in emergency departments

International Nuclear Information System (INIS)

Takahashi, Naoya; Higuchi, Takeshi; Shiotani, Motoi; Satou, Suguru; Hirose, Yasuo

2011-01-01

The aim of this study was to evaluate the effectiveness of a worksheet for diagnosing postmortem computed tomography (PMCT) in emergency departments (EDs). A total of 49 cases of clinically diagnosed nontraumatic deaths in the ED who underwent total body PMCT were enrolled. PMCT images were prospectively evaluated by four radiologists: two radiologists with 1.5 and 3.5 years of residency and two board-certified radiologists with >20 years of experience. Readers were independently instructed to detect and interpret findings with reference to fatal findings, postmortem features, changes caused by cardiopulmonary resuscitation, and other pathological findings according to a worksheet that was composed of the possible findings previously reported. Agreement on detection and interpretation of findings between each reader was measured using Cohen's kappa coefficients. For the detection of findings, there was substantial agreement among the four readers (kappa>0.60, P 0.60, P<0.0001) and near-substantial (kappa=0.60, P<0.0001) agreement in the interpretation of the finding. Results of our study suggest equivalency on diagnosing PMCT regardless of the reader's level of experience. We conclude that the worksheet is useful for diagnosing PMCT in emergency departments. (author)

Enhancement of students’ creative thinking skills on mixture separation topic using project based student worksheet

Science.gov (United States)

Nurisalfah, R.; Fadiawati, N.; Jalmo, T.

2018-05-01

The aim of this study is to describe the effectiveness of project based student worksheet in improving students' creative thinking skills. The research method is using quasi experiment with the matching only pre-test post-test control group design. The population in this research is all students of class VII SMP N 2 Belitang Madang Raya with class VII1 as control class and class VII4 as experiment class. The sample of this research is obtaining by purposive sampling technique. The effectiveness of project based student worksheet is based on significant post-test differences between the control class and the experiment class as well as the effect size. The results show that the using of project based student worksheet is effective in improving students' creative thinking skills on mixture separation topic.

The Effect of Mathematical Worksheets Based on Multiple Intelligences Theory on the Academic Achievement of the Students in the 4th Grade Primary School

Science.gov (United States)

Inan, Cemil; Erkus, Serdar

2017-01-01

The aim of this research is to examine the effect of Math worksheets based on the Multiple Intelligences Theory on the academic achievement of students in the 4th grade primary school. The sample of the research consists of 64 (32 experimental and 32 control) students who are studying in the 4th grade in a primary school affiliated to the Ministry…

Variations the diameter tip of electrode on the resistance spot welding using electrode Cu on worksheet Fe

Science.gov (United States)

Baskoro, A. S.; Sugeng, S.; Sifa, Agus; Badruzzaman; Endramawan, Tito

2018-04-01

Resistance Spot Weld (RSW) is a welding technology which plays an important role that is often used in industry in large manufacturing industries, especially in the automotive sector, some of the parameters are affecting the welding process that give impact in the weld quality, diameter tip important impact on the resistance spot welding, This study can be categorized as experimental study by using Electrode material such as Cu and Fe Worksheet Materials, with a material thickness of 1 mm,0,8 mm, and 0,6 mm on each worksheet, and the large diameter of tip electrode (5√t) depend on the thickness of worksheet. Testing the material in the electrode and the worksheet by testing the composition and tensile test, and the hardness of the material used are to know the material used certainly. The result of the welding process was done by using the parameters voltage of 8KV, with a duty cycle of 50% using a variation of the time 8s-10s, and variations the electrode tip diameter that are affected by the thickness of the worksheet 5\\sqrt{t}, plate thickness used 1 mm, 0,8 mm and 0,6 mm, so that the electrodes was used to a thickness of 1 mm diameter tip electrode 5 mm, thickness 0,8 mm with an electrode tip diameter 4,5 mm and a thickness 0,6 mm with an electrode diameter of 4 mm, with current welding parameter 8kVA, and variations in holding time 10s, 9s and 8s 50% duty cycle, then testing welds with the standard shear test refers ASTM A370-2012 with more results to a thickness of 0,6 has the ability to withstand greater load on the holding time 8s and 9s, 10s, to a thickness 0,8 mm and 1 mm shear test results demonstrate the ability to withstand loads on the holding time of 10s and 9s have a greater ability than 8s on worksheet that has thickness 1 mm at a holding time of 10s, and then Maximum shear test averaging of 36,41 N at a worksheet with a thickness of 0,8 mm (diameter tip 4,5 mm) at a holding time of 8s and a mean minimum shear stress of 23,73 N at worksheet that

Development of Lesson Plans and Student Worksheets Based Socio-Scientific Issues on Pollution Environmental Topic

Science.gov (United States)

Rahayu, S.; Meyliana, M.; Arlingga, A.; Reny, R.; Siahaan, P.; Hernani, H.

2017-09-01

The aim of this study is to develop lesson plans and student worksheets based socio-scientific issues on pollution environmental topic for seventh-grade junior high school students. Environmental pollution topic split into several subtopics namely air pollution, water pollution and soil pollution. The composing of lesson plans were developed based on socio-scientific issues with five stages, namely (1) Motivate; (2) Challenge; (3) Collect scientific evidence; (4) Analyse the evidence; (5) Build knowledge and make connections; and (6) Use evidence. While student worksheets contain articles on socio-scientific issues, practice, and there are a few questions to determine students’ reasoning. The method that is used in this research is research and development (R & D method). Development model used in this study is a model of Plomp that consists of four stages, namely: (1) Initial Research; (2) Design; (3) Realization or Construction; (4) Testing, evaluation and revision; (5) Implementation, while the research was limited to the fourth stage. Lesson plans and student worksheets based on socio-scientific issues was validated through an expert validation. The result showed that lesson plans and student worksheets based socio-scientific issues on pollution theme have a very decent and be able to apply in science classroom.

Validity of worksheet-based guided inquiry and mind mapping for training students’ creative thinking skills

Science.gov (United States)

Susanti, L. B.; Poedjiastoeti, S.; Taufikurohmah, T.

2018-04-01

The purpose of this study is to explain the validity of guided inquiry and mind mapping-based worksheet that has been developed in this study. The worksheet implemented the phases of guided inquiry teaching models in order to train students’ creative thinking skills. The creative thinking skills which were trained in this study included fluency, flexibility, originality and elaboration. The types of validity used in this study included content and construct validity. The type of this study is development research with Research and Development (R & D) method. The data of this study were collected using review and validation sheets. Sources of the data were chemistry lecturer and teacher. The data is the analyzed descriptively. The results showed that the worksheet is very valid and could be used as a learning media with the percentage of validity ranged from 82.5%-92.5%.

Guida Didattica per l'Insegnamento della Matematica. Livelli G, H = Mathematics Curriculum Guide for Italian-Speaking Students, Levels G and H. Working Draft.

Science.gov (United States)

Chicago Board of Education, IL. Dept. of Curriculum.

The curriculum guide is for levels G and H of the mathematics segment of Chicago's bilingual education program for limited-English-speaking native Italian-speaking students. It includes specific instructional objectives and worksheets for teaching the mathematical concepts of place value, whole numbers, rational numbers, measurement, geometry, and…

Developing Guided Worksheet for Cognitive Apprenticeship Approach in teaching Formal Definition of The Limit of A Function

Science.gov (United States)

Oktaviyanthi, R.; Dahlan, J. A.

2018-04-01

This study aims to develop student worksheets that correspond to the Cognitive Apprenticeship learning approach. The main subject in this student worksheet is Functions and Limits with the branch of the main subject is Continuity and Limits of Functions. There are two indicators of the achievement of this learning that are intended to be developed in the student worksheet (1) the student can explain the concept of limit by using the formal definition of limit and (2) the student can evaluate the value of limit of a function using epsilon and delta. The type of research used is development research that refers to the development of Plomp products. The research flow starts from literature review, observation, interviews, work sheet design, expert validity test, and limited trial on first-year students in academic year 2016-2017 in Universitas Serang Raya, STKIP Pelita Pratama Al-Azhar Serang, and Universitas Mathla’ul Anwar Pandeglang. Based on the product development result obtained the student worksheets that correspond to the Cognitive Apprenticeship learning approach are valid and reliable.

Shortcomings of Evaluation Worksheets for Scientific Art Articles in Iran Based on Merton's Science Norms

Directory of Open Access Journals (Sweden)

Gholamreza Hassani

2018-03-01

Full Text Available The scientific journal assessment worksheets are the most important tool for evaluating the quality of scientific papers. The purpose of this research is an objective and qualitative description of indices used in the worksheets for the evaluation of art scientific research journals in Iran and to acknowledge their shortcomings in comparison with the norms of science from the Robert King Merton's perspective. The research approach in this study is combining survey and content analysis. Statistical samples consisted of nine worksheets developed for the evaluation of specialized art journal articles with a scientific research rank. Moreover, 14 experts in the fields of Scientometrics and art were invited to provide feedback on the extent to which the evaluation criteria used in the evaluation worksheets are in conformity with Merton’s science norms. Data collection was done in two forms including library research, referring to scientific journal databases, and structured interviews. In order to uncover the existing status of the indicators from the researcher-made check list, Excel software and a questionnaire were used as research instruments. The collected data were analyzed by descriptive statistics along with relevant tables and charts. Findings of the research show that out of the total 53 existing indicators, the index of "using sufficient and new valid sources (internal and external" had the highest frequency (77.78%. The findings also indicated that the other 26 indicators had the lowest frequency percentage (11.11%. Moreover, these indices are consistent with the six out of seven of Merton's science norms (less than 18%. The obtained results revealed the unbalanced distribution of components and indicators of evaluation in these worksheets and their non-conformance to the norms of science, necessitating their revision.

Print to Braille: Preparation and Accuracy of Mathematics Materials in K-12 Education

Science.gov (United States)

Herzberg, Tina S.; Rosenblum, L. Penny

2014-01-01

Introduction: This study analyzed the accuracy of 107 mathematics worksheets prepared for tactile learners. The mean number of errors was calculated, and we examined whether there was a significant difference in the level of accuracy based on National Library Service for the Blind and Physically Handicapped (NLS) certification or job role of…

Development Biology Worksheet Oriented Accelerated Learning on Plantae and Ecosystems for 10th-Grade Senior High School Students

Science.gov (United States)

Dipuja, D. A.; Lufri, L.; Ahda, Y.

2018-04-01

The problem that found are learning outcomes student is low on the plantae and ecosystems. Students less motivated and passive learning because learning is teacher center and teaching materials not facilitate student. Therefore, it is necessary to design a worksheet oriented accelerated learning. Accelerated learning approach that can improve motivation and learning activities. The purpose of the research was to produce worksheet oriented accelerated learning on plantae and ecosystems. This research is designed as a research and development by using Plomp model, consists of the preliminary, prototyping, and assessment phase. Data was collected through questionnaires, observation sheet, test, and documentation. The results of the research was worksheet oriented accelerated learning on plantae and ecosystems is very valid.

Global History. A Curriculum Guide. Second Semester. Theme V: The Industrial Revolution Had Global Impact. Student Worksheets. Experimental Edition.

Science.gov (United States)

New York City Board of Education, Brooklyn, NY. Div. of Curriculum and Instruction.

The worksheets contained in this bulletin are designed for use in conjunction with the teaching strategies for Theme V entitled, "The Industrial Revolution Had Global Impact." The worksheets correspond to specific strategies with accompanying questions on the appropriate strategy page. Included are activities for the seven subthemes: (1)…

Development of guided inquiry-based laboratory worksheet on topic of heat of combustion

Science.gov (United States)

Sofiani, D.; Nurhayati; Sunarya, Y.; Suryatna, A.

2018-03-01

Chemistry curriculum reform shows an explicit shift from traditional approach to scientific inquiry. This study aims to develop a guided inquiry-based laboratory worksheet on topic of heat of combustion. Implementation of this topic in high school laboratory is new because previously some teachers only focused the experiment on determining the heat of neutralization. The method used in this study was development research consisted of three stages: define, design, and develop. In the define stage, curriculum analysis and material analysis were performed. In the design stage, laboratory optimization and product preparation were conducted. In the development stage, the product was evaluated by the experts and tested to a total of 20 eleventh-grade students. The instruments used in this study were assessment sheet and students’ response questionnaire. The assessment results showed that the guided inquiry-based laboratory worksheet has very good quality based on the aspects of content, linguistic, and graphics. The students reacted positively to the use of this guided inquiry-based worksheet as demonstrated by the results from questionnaire. The implications of this study is the laboratory activity should be directed to development of scientific inquiry skills in order to enhance students’ competences as well as the quality of science education.

The application of interactive worksheet to improve vocational students' ability to write financial statements

Science.gov (United States)

Larasati, Aisyah; Hajji, Apif Miftahul

2017-09-01

Vocational students in Culinary Department is required to mastering the ability on managing restaurant. One of the responsibility of the students while operating a training restaurant is writing financial statements. Most of the time, writing financial statements is the hardest part for students to be conducted in a training restaurant since the students have studied limited theory/courses on that topic. This research aims to explore the improvement of students' ability to write financial statements after the application of interactive worksheet by asking them to solve financial statements case study. This research is an experimental research. Three groups of samples are used in this research, in which each of the group consists of 74 students. The first group consists of the students who solve the case study without using any software/application, the second group solve the case study by using Microsoft excel, and the third group solve the case study by using the interactive worksheet application. The results show that the use of interactive worksheet significantly improve the students ability to solve the financial statement case study either in term of accuracy or time needed to write the financial statement.

Teaching the Statement of Changes in Financial Position--A Worksheet Approach.

Science.gov (United States)

Byrd, David B.; Byrd, Sandra D.

1986-01-01

The worksheet approach to preparing a Statement of Changes in Financial Position (SCFP) is presented. An example that has been developed for presentation to the class during the first class period spent on SCFPs is discussed. Conversion of working capital to cash is also explained. (CT)

Identification of the Thickness of Nugget on Worksheet Spot Welding Using Non Destructive Test (NDT) - Effect of Pressure

Science.gov (United States)

Sifa, A.; Baskoro, A. S.; Sugeng, S.; Badruzzaman, B.; Endramawan, T.

2018-02-01

Resistance Spot Welding (RSW) is a process of connecting between two worksheet with thermomechanical loading process, RSW is widely used in automotive industry, the quality of splicing spot welding is influenced by several factors. One of the factors at the time of the welding process is pressure. The quality of welding on the nuggets can be determined by undertaking non-destructive testing by using Non Destructive Test (NDT) - Ultrasonic Test. In the NDT test is done by detecting the thickness of the nugget area, the purpose of research conducted to determine the effect of pressure to welding quality with Nugget thickness gauge measurement with Non Destructive Test method and manual measurement with micrometer, Experimental welding process by entering the welding parameters that have been specified and pressure variables 1 -5 bars on the worksheet thickness of 1 mm. The results of testing with NDT show there is addition of thickness in nugget superiority after compare with measurement result of thickness of nugget with micrometer which slightly experience thickness in nugget area, this indicates that the welding results have a connection between worksheet 1 and worksheet 2.

Designing students’ worksheet based on open-ended approach to foster students’ creative thinking skills

Science.gov (United States)

Romli, S.; Abdurrahman; Riyadi, B.

2018-01-01

This study aimed at designing an open-ended worksheet to enhance students’ creative thinking skills. The study was conducted at one private school in Bandar Lampung, Indonesia. The participants of the study were twenty students of tenth grade students and two physics teachers. This study used descriptive data. Data were collected by analyzing qualitative data, literature and focus group discussion to gain information about students’ conceptions of physics in the context of open-ended learning. The result showed that students needed innovative learning resources in form of open ended-based worksheet which could give the students an opportunity to develop various solutions related to physics problem. Therefore, students’ creative thinking skill could be improved.

Mathematical Abstraction: Constructing Concept of Parallel Coordinates

Science.gov (United States)

Nurhasanah, F.; Kusumah, Y. S.; Sabandar, J.; Suryadi, D.

2017-09-01

Mathematical abstraction is an important process in teaching and learning mathematics so pre-service mathematics teachers need to understand and experience this process. One of the theoretical-methodological frameworks for studying this process is Abstraction in Context (AiC). Based on this framework, abstraction process comprises of observable epistemic actions, Recognition, Building-With, Construction, and Consolidation called as RBC + C model. This study investigates and analyzes how pre-service mathematics teachers constructed and consolidated concept of Parallel Coordinates in a group discussion. It uses AiC framework for analyzing mathematical abstraction of a group of pre-service teachers consisted of four students in learning Parallel Coordinates concepts. The data were collected through video recording, students’ worksheet, test, and field notes. The result shows that the students’ prior knowledge related to concept of the Cartesian coordinate has significant role in the process of constructing Parallel Coordinates concept as a new knowledge. The consolidation process is influenced by the social interaction between group members. The abstraction process taken place in this group were dominated by empirical abstraction that emphasizes on the aspect of identifying characteristic of manipulated or imagined object during the process of recognizing and building-with.

Mathematics Teachers’ Opinions on Worksheets Prepared with GeoGebra [Matematik Öğretmenlerinin GeoGebra ile Hazırlanan Çalışma Yaprakları Üzerine Görüşleri

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Semirhan Gökçe

2016-04-01

Full Text Available Learning and teaching process of math and the form of how we use math has been reshaped with the radical innovations in science and technology in recent years. One of the important factors in the education field which the realization of change and development are undoubtedly connected is teachers. When considered in the literature, it is seen that teachers has lacking in effective use of information-communication technologies and integrated in the teaching process, also it seems that they feel inadequate in using information-communication technologies. From this determination, it is aimed to investigate teachers’ views on the feasibility and effectiveness of worksheets which are developed in this study to allow teachers using GeoGebra in the teaching process without expert assistance in lesson and before the lesson. A case study of the research method is used. The participants of the study are five mathematics teachers that are working in a High School. In collecting the data, semi-structured interviews were used. Results were handled with the themes which are the effects of worksheets, the impact of worksheets on students and the process of education and training required for the implementation feasibility. Worksheets are expected to provide contribution to teachers who want to use computer effectively in their teaching process since the worksheets; are student centered, has an instructive structure of a software intended for computer assisted education and can be implemented with the basic computer knowledge, especially without expert assistance. [Son yıllarda bilim ve teknoloji alanındaki köklü yenilikler, matematiği kullanma biçimimiz ile matematik öğrenme ve öğretme süreçlerimizi yeniden biçimlendirmiştir. Eğitim alanında değişim ve gelişimin gerçekleşmesinin bağlı olduğu etkenlerden biri kuşkusuz öğretmenlerdir. Alanyazın incelendiğinde, öğretmenlerin bilgi-iletişim teknolojilerini etkili biçimde kullanma

WIPP conceptual design report. Addendum C. Cost worksheets for Waste Isolation Pilot Plant (WIPP)

International Nuclear Information System (INIS)

1977-04-01

The cost worksheets for the Waste Isolation Pilot Plant (WIPP) are presented. A summary cost estimate, cost estimate for surface facilities, and cost estimate for shafts and underground facilities are included

The Development of the Assessment for Learning Model of Mathematics for Rajamangala University of Technology Rattanakosin

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Wannaree Pansiri

2016-12-01

Full Text Available The objectives of this research were 1 to develop the assessment for learning model of Mathematics for Rajamangala University 2 to study the effectivness of assessment for learning model of Mathematics for Rajamagala University of Technology Rattanakosin. The research target group consisted of 72 students from 3 classes and 3 General Mathematics teachers. The data was gathered from observation, worksheets, achievement test and skill of assessment for learning, questionnaire of the assessment for learning model of Mathematics. The statistics that used in this research were Frequency, Percentage, Mean, Standard Deviation, and Growth Score. The results of this research were 1. The assessment of learning model of Mathematics for Rajamangala University of Technology Rattanakosin consisted of 3 components ; 1. Pre-assessment which consisted of 4 activities ; a Preparation b Teacher development c Design and creation the assessment plan and instrument for assessment and d Creation of the learning experience plan 2. The component for assessment process consisted of 4 steps which were a Identifying the learning objectives and criteria b Identifying the learning experience plan and assessment follow the plan c Learning reflection and giving feedback and d Learner development based on information and improve instruction and 3. Giving feedback component. 2. The effective of assessment for learning model found that most students had good score in concentration, honest, responsibilities, group work, task presentation, worksheets, and doing exercises. The development knowledge of learning and knowledge and skill of assessment for learning of lecturers were fairly good. The opinion to the assessment for learning of learners and assessment for learning model of Mathematics of teachers found that was in a good level.

Analysis of expert validation on developing integrated science worksheet to improve problem solving skills of natural science prospective teachers

Science.gov (United States)

Widodo, W.; Sudibyo, E.; Sari, D. A. P.

2018-04-01

This study aims to develop student worksheets for higher education that apply integrated science learning in discussing issues about motion in humans. These worksheets will guide students to solve the problem about human movement. They must integrate their knowledge about biology, physics, and chemistry to solve the problem. The worksheet was validated by three experts in Natural Science Integrated Science, especially in Human Movement topic. The aspects of the validation were feasibility of the content, the construction, and the language. This research used the Likert scale to measure the validity of each aspect, which is 4.00 for very good validity criteria, 3.00 for good validity criteria, 2.00 for more or less validity criteria, and 1.00 for not good validity criteria. Data showed that the validity for each aspect were in the range of good validity and very good validity criteria (3.33 to 3.67 for the content aspect, 2.33 to 4.00 for the construction aspect, and 3.33 to 4.00 for language aspect). However, there was a part of construction aspect that needed to improve. Overall, this students’ worksheet can be applied in classroom after some revisions based on suggestions from the validators.

Android worksheet application based on discovery learning on students' achievement for vocational high school: Mechanical behavior of materials topics

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Nanto, Dwi; Aini, Anisa Nurul; Mulhayatiah, Diah

2017-05-01

This research reports a study of student worksheet based on discovery learning on Mechanical Behavior of Materials topics under Android application (Android worksheet application) for vocational high school. The samples are Architecture class X students of SMKN 4 (a public vocational high school) in Tangerang Selatan City, province of Banten, Indonesia. We made 3 groups based on Intellectual Quotient (IQ). They are average IQ group, middle IQ group and high IQ group. The method of research is used as a quasi-experimental design with nonequivalent control group design. The technique of sampling is purposive sampling. Instruments used in this research are test instruments and non-test instruments. The test instruments are IQ test and test of student's achievement. For the test of student's achievement (pretest and posttest) we provide 25 multiple choice problems. The non-test instruments are questionnaire responses by the students and the teacher. Without IQ categorized, the result showed that there is an effect of Android worksheet application on student's achievement based on cognitive aspects of Revised Bloom's Taxonomy. However, from the IQ groups point of view, only the middle IQ group and the high IQ group showed a significant effect from the Android worksheet application on student's achievement meanwhile for the average IQ group there was no effect.

Effectiveness of discovery learning model on mathematical problem solving

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Herdiana, Yunita; Wahyudin, Sispiyati, Ririn

2017-08-01

This research is aimed to describe the effectiveness of discovery learning model on mathematical problem solving. This research investigate the students' problem solving competency before and after learned by using discovery learning model. The population used in this research was student in grade VII in one of junior high school in West Bandung Regency. From nine classes, class VII B were randomly selected as the sample of experiment class, and class VII C as control class, which consist of 35 students every class. The method in this research was quasi experiment. The instrument in this research is pre-test, worksheet and post-test about problem solving of mathematics. Based on the research, it can be conclude that the qualification of problem solving competency of students who gets discovery learning model on level 80%, including in medium category and it show that discovery learning model effective to improve mathematical problem solving.

Working toward a Third Space in the Teaching of Elementary Mathematics

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Flessner, Ryan

2009-01-01

Building on work in the area of third space theory, this study documents one teacher's efforts to create third spaces in an elementary mathematics classroom. In an attempt to link the worlds of theory and practice, I examine how the work of other theorists and researchers--inside and outside the field of education--can create new lenses for…

Mathematical SETI Statistics, Signal Processing, Space Missions

CERN Document Server

Maccone, Claudio

2012-01-01

This book introduces the Statistical Drake Equation where, from a simple product of seven positive numbers, the Drake Equation is turned into the product of seven positive random variables. The mathematical consequences of this transformation are demonstrated and it is proven that the new random variable N for the number of communicating civilizations in the Galaxy must follow the lognormal probability distribution when the number of factors in the Drake equation is allowed to increase at will. Mathematical SETI also studies the proposed FOCAL (Fast Outgoing Cyclopean Astronomical Lens) space mission to the nearest Sun Focal Sphere at 550 AU and describes its consequences for future interstellar precursor missions and truly interstellar missions. In addition the author shows how SETI signal processing may be dramatically improved by use of the Karhunen-Loève Transform (KLT) rather than Fast Fourier Transform (FFT). Finally, he describes the efforts made to persuade the United Nations to make the central part...

The effect of multiple external representations (MERs) worksheets toward complex system reasoning achievement

Science.gov (United States)

Sumarno; Ibrahim, M.; Supardi, Z. A. I.

2018-03-01

The application of a systems approach to assessing biological systems provides hope for a coherent understanding of cell dynamics patterns and their relationship to plant life. This action required the reasoning about complex systems. In other sides, there were a lot of researchers who provided the proof about the instructional successions. They involved the multiple external representations which improved the biological learning. The researcher conducted an investigation using one shoot case study design which involved 30 students in proving that the MERs worksheets could affect the student's achievement of reasoning about complex system. The data had been collected based on test of reasoning about complex system and student's identification result who worked through MERs. The result showed that only partially students could achieve reasoning about system complex, but their MERs skill could support their reasoning ability of complex system. This study could bring a new hope to develop the MERs worksheet as a tool to facilitate the reasoning about complex system.

Moduli of mathematical instanton vector bundles with odd c2 on projective space

International Nuclear Information System (INIS)

Tikhomirov, Aleksandr S

2012-01-01

We study the moduli space I n of mathematical instanton vector bundles of rank 2 with second Chern class n≥1 on the projective space P 3 , and prove the irreducibility of I n for arbitrary odd n≥1.

Mathematics at home practical activities for parents and children

CERN Document Server

Davis, John

2001-01-01

How can teachers help parents to get involved with their children's learning? Maths at home is full of activities designed to fit in with the Key Stage 2 Numeracy topics. Teachers can photocopy the appropriate sheet and send it home for parents and children to work on together. Each activity has a set of explanatory notes for teachers and a photocopiable worksheet. Instructions to parents are clearly presented, with resources listed. The activities are practical and enjoyable, covering everyday mathematical tasks, such as calculating shopping bills, estimating quantities and looking at timetab

Exploring mathematics outside the classroom with the help of GPS-enabled mobile phone application

Science.gov (United States)

Cahyono, A. N.; Ludwig, M.

2018-03-01

The aim of the study is to explore the potential of the mobile app-supported math trail program in promoting students’ intrinsic motivation for the engagement in mathematics and the opportunities of mathematical outdoor activity in particular. Explorative design research was conducted on nine secondary schools in the city of Semarang, Indonesia, with 272 students and nine teachers. Data were gathered using participatory observation, interviews, questionnaires, and student worksheets. The findings indicate that students were highly intrinsically motivated to be involved in mathematics learning. They found it easy to engage in the activities and gain relevant mathematical experiences. Students indicated they learned to use advanced technology for outdoor activity and to do the mathematization. The study suggests that school and public can take advantage of the result of this study. Further research in other places is needed to exploit its potential and future development.

Using Attendance Worksheets to Improve Student Attendance, Participation, and Learning

Science.gov (United States)

Rhoads, Edward

2013-06-01

As science instructors we are faced with two main barriers with respect to student learning. The first is motivating our students to attend class and the second is to make them active participants in the learning process once we have gotten them to class. As we head further into the internet age this problem only gets exacerbated as students have replaced newspapers with cell phones which can surf the web, check their emails, and play games. Quizzes can motivated the students to attend class but do not necessarily motivate them to pay attention. Active learning techniques work but we as instructors have been bombarded by the active learning message to the point that we either do it already or refuse to. I present another option which in my classroom has doubled the rate at which students learn my material. By using attendance worksheets instead of end of class quizzes I hold students accountable for not just their attendance but for when they show up and when they leave the class. In addition it makes the students an active participant in the class even without using active learning techniques as they are writing notes and answering the questions you have posed while the class is in progress. Therefore using attendance worksheets is an effective tool to use in order to guide student learning.

The development of student worksheet assisted by interactive multimedia of photoelectric effect to build science process skills

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Payudi Payudi

2017-12-01

Full Text Available This research aims to produce student worksheet based on interactive multimedia on photoelectric effect to grow science process skills that are attractive, easy, useful, and study to improve students learning out comes. The development design used in this research by Sugiono which implemented in 8 stages, they are potential and problem, data collecting, product design, validation design, revision design, product trial, product, and trial usage. Trial usage of the product was conducted at SMA Negeri 2 Bandar Lampung in October 2016 to November 2016 and the research subject was twelve grade classes. The sampling technique of product trial subjects done by purpose sampling, it took two same classes. One class used as an experimental class and the other class as a control class. Trial product design used Matching-Only Pretest-Post test Control Group Design method. Data collecting technique used questionnaire and test (pretest and post test. The data were analyzed by using a descriptive quantitative method. The conclusions of the research are: (1 Student worksheet to build scientific process skills on photoelectric effect should include predicting and hypothesizing activities, planning the experiment, doing the practicum, interpreting the observation, and communicating. (2 Student worksheet of development result has an attractiveness level with the average score is 3.27 or 81.74% with “interesting” category, ease level with the average score is 3.25 or 81.32 with “simple”, and usefulness level with the average score is 3.21 or 80.13% of “useful” category. (3 Student worksheet of development result is effective to improve students learning outcomes in science process skills with N-gain average is 0.63 with the medium.

Mobile technologies in the service of students' learning of mathematics: the example of game application A.L.E.X. in the context of a primary school in Cyprus

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Kyriakides, Andreas O.; Meletiou-Mavrotheris, Maria; Prodromou, Theodosia

2016-03-01

This article reports on the main experiences gained from a 2-year study which incorporated A.L.E.X., an educational puzzle game available on iPad or Android tablet devices, within the primary school mathematics curriculum. The study took place in a public primary school, located in a rural area of Cyprus. The majority of its students come from low socioeconomic status families. Among the school community, a group of 15 pupils (eight boys and seven girls), aged 10-11 years old, was randomly selected to comprise the sample. The same group of students was visited twice within a period of 2 years, and a teaching intervention was organized. In both interventions, the application A.L.E.X. accompanied by a student worksheet constituted the main means of instruction. The worksheets were designed to integrate a technology with core mathematical ideas embedded in the national mathematics curriculum. Findings gained from the teaching intervention suggest that game apps hold a lot of promise as a tool for reforming mathematics education. While working with A.L.E.X., the children identified and processed mathematical themes that emerged spontaneously. They experienced unique emotions of surprise and enthusiasm regarding the existence of games with mathematical content that led them to acknowledge the pedagogical role that tablet devices could play. This helped them to broaden their fundamentally narrow viewpoint of mathematics as being primarily computation and arithmetic.

Use of Practical Worksheet in Teacher Education at the Undergraduate and Postgraduate Levels

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Toh, Pee Choon; Toh, Tin Lam; Ho, Foo Him; Quek, Khiok Seng

2012-01-01

We have applied the "practical paradigm" in teaching problem solving to secondary school students. The key feature of the practical paradigm is the use of a practical worksheet to guide the students' processes in problem solving. In this paper, we report the diffusion of the practical paradigm to university level courses for prospective…

Extended Worksheet Developed According to 5E Model Based on Constructivist Learning Approach

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Töman, Ufuk; Akdeniz, Ali Riza; Odabasi Çimer, Sabiha; Gürbüz, Fatih

2013-01-01

In order to achieve the targeted objectives desired level of education and modern learning theories for learner centered methods are recommended. In this context the use of worksheets developed and that student participation is considered to be one of the methods. This research is one of the ethyl alcohol fermentation biology issues and prepare…

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

Pioneering space research in the USSR and mathematical modeling of large problems of radiation transfer

International Nuclear Information System (INIS)

Sushkevich, T.A.

2011-01-01

This review is to remind scientists of the older generation of some memorable historical pages and of many famous researchers, teachers and colleagues. For the younger researchers and foreign colleagues it will be useful to get to know about pioneer advancements of the Soviet scientists in the field of information and mathematical supply for cosmonautic problems on the eve of the space era. Main attention is paid to the scientific experiments conducted on the piloted space vehicles and the research teams who created the information and mathematical tools for the first space projects. The role of Mstislav Vsevolodovich Keldysh, the Major Theoretician of cosmonautics, is particularly emphasized. He determined for the most part the basic directions of development of space research and remote sensing of the Earth and planets that are shortly called remote sensing

Design based Investigation on Construction of Mathematical Modelling Problems: Example of Financial Content

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Melike TURAL SÖNMEZ

2017-12-01

Full Text Available The purpose of this study is to examine the construction of mathematical modelling problems process in the content of financial literacy. It is also aimed to create design proposals for construction of mathematical modelling problems. A design based research method was used in this study. The participants were three seventh grade students, six finance experts and nine mathematics education experts. Data collection tools were transcription of video and tapes group discussions, presentations and worksheets during mathematical modelling activities, and participant experts’ feedback form about mathematical modelling problems. There were three stages in this study. First stage was application of preliminary study. This stage gave information about convenience of problems to grade level, students’ timing for solution of problems, clarity of problems and students’ background about content. In second stage, finance experts commented on convenience of mathematical modelling problems to financial literacy standards. In third stage, mathematics education experts commented on convenience of problems to students’ grade level, mathematical modelling principles and seventh grade mathematics lesson objectives. They also gave suggestion on progress. The frequency value of theme in feedback forms was calculated and experts’ expressions were given as citation. It was given suggestion about stages and application of the design guide

Effect of cutter tip angle on cutting characteristics of acrylic worksheet subjected to punch/die shearing

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Masami Kojima

2016-12-01

Full Text Available This paper aims to describe the effect of tool geometry on cutting characteristics of a 1.0 mm thickness acrylic worksheet subjected to a punch/die shearing. A set of side-wedge punch and side-wedge die which had the edge angle of 30°, 60° and/or 90° was prepared and used for cutting off the worksheet. A load cell and a CCD camera were installed in the cutting system to investigate the cutting load resistance and the side-view deformation of the worksheet. From experimental results, it was revealed that a cracking pattern at a sheared zone was remarkably affected by the edge angle of cutting tool. A cracking direction was almost coincident to the edge angle when considering the punch/die edge angle of 30°, while any matching of them was not observed in case of the punch/die edge angle of 60°, 90°. By using the 30° side-wedge tool, a flat-smooth sheared surface was generated. When combing the punch edge angle of 90° and the die edge angle of 60°, the cracking profile was characterized by the both edge angles for each part (die and punch. Carrying out an elasto-plastic finite element method analysis of cutter indentation with a few of symmetric and asymmetric punch/die edges, the stress distribution and deformation flow at the sheared zone were discussed with the initiation of surface cracks

Pension Accounting and Reporting with Other Comprehensive Income and Deferred Taxes: A Worksheet Approach

Science.gov (United States)

Jackson, Robert E.; Sneathen, L. Dwight, Jr.; Veal, Timothy R.

2012-01-01

This instructional tool presents pension accounting using a worksheet approach where debits equal credits for both the employer and for the plan. Transactions associated with the initiation of the plan through the end of the second year of the plan are presented, including their impact on accumulated other comprehensive income and deferred taxes.…

The marginalisation of Indigenous students within school mathematics and the math wars: seeking resolutions within ethical spaces

Science.gov (United States)

Russell, Gale L.; Chernoff, Egan J.

2013-03-01

In mathematics education, there are (at least) two seemingly disparate and unethical issues that have been allowed to continue unresolved for decades: the math wars (traditional versus reform teaching and learning of mathematics) and the marginalisation of Indigenous students within K-12 mathematics. Willie Ermine, an Indigenous scholar, has proposed the use of ethical spaces to explore and analyse occurrences of unethical situations arising between the "intersection of Indigenous law and Canadian Legal systems" (Ermine, Indigenous Law Journal 6(1):193-203, 2007). This paper brings Ermine's notion of ethical spaces to the field of mathematics education research as the theoretical framework for analysing the aforementioned issues. The result of this analysis is a potential single theoretical resolution to both dilemmas that can also serve as a significant factor in the processes of decolonisation.

Coding Instructions, Worksheets, and Keypunch Sheets for M.E.T.R.O.-APEX Simulation.

Science.gov (United States)

Michigan Univ., Ann Arbor. Environmental Simulation Lab.

Compiled in this resource are coding instructions, worksheets, and keypunch sheets for use in the M.E.T.R.O.-APEX simulation, described in detail in documents ED 064 530 through ED 064 550. Air Pollution Exercise (APEX) is a computerized college and professional level "real world" simulation of a community with urban and rural problems, industrial…

The beginning of the space age: information and mathematical aspect. To the 60th anniversary of the launch of the first sputnik

Science.gov (United States)

Sushkevich, T. A.

2017-11-01

60 years ago, on 4 October 1957, the USSR successfully launched into space the FIRST SPUTNIK (artificial Earth satellite). From this date begins the countdown of the space age. Information and mathematical software is an integral component of any space project. Discusses the history and future of space exploration and the role of mathematics and computers. For illustration, presents a large list of publications. It is important to pay attention to the role of mathematics and computer science in space projects and research, remote sensing problems, the evolution of the Earth's environment and climate, where the theory of radiation transfer plays a key role, and the achievements of Russian scientists at the dawn of the space age.

The effectiveness of CCDSR learning model to improve skills of creating lesson plan and worksheet science process skill (SPS) for pre-service physics teacher

Science.gov (United States)

Limatahu, I.; Suyatno; Wasis; Prahani, B. K.

2018-03-01

In the previous research, CCDSR (Condition, Construction, Development, Simulation, and Reflection) learning model has been developed to improve science process skills for pre-service physics teacher. This research is aimed to analyze the effectiveness of CCDSR learning model towards the improvement skills of creating lesson plan and worksheet of Science Process Skill (SPS) for pre-service physics teacher in academic year 2016/2017. This research used one group pre-test and post-test design on 12 pre-service physics teacher at Physics Education, University of Khairun. Data collection was conducted through test and observation. Creating lesson plan and worksheet SPS skills of pre-service physics teacher measurement were conducted through Science Process Skill Evaluation Sheet (SPSES). The data analysis technique was done by Wilcoxon t-test and n-gain. The CCDSR learning model consists of 5 phases, including (1) Condition, (2) Construction, (3) Development, (4) Simulation, and (5) Reflection. The results showed that there was a significant increase in creating lesson plan and worksheet SPS skills of pre-service physics teacher at α = 5% and n-gain average of moderate category. Thus, the CCDSR learning model is effective for improving skills of creating lesson plan and worksheet SPS for pre-service physics teacher.

Applying innovative approach “Nature of Science (NoS) within inquiry” for developing scientific literacy in the student worksheet

Science.gov (United States)

Widowati, A.; Anjarsari, P.; Zuhdan, K. P.; Dita, A.

2018-03-01

The challenges of the 21st century require innovative solutions. Education must able to make an understanding of science learning that leads to the formation of scientific literacy learners. This research was conducted to produce the prototype as science worksheet based on Nature of Science (NoS) within inquiry approach and to know the effectiveness its product for developing scientific literacy. This research was the development and research design, by pointing to Four D models and Borg & Gall Model. There were 4 main phases (define, design, develop, disseminate) and additional phases (preliminary field testing, main product revision, main field testing, and operational product revision). Research subjects were students of the junior high school in Yogyakarta. The instruments used included questionnaire sheet product validation and scientific literacy test. For the validation data were analyzed descriptively. The test result was analyzed by an N-gain score. The results showed that the appropriateness of worksheet applying NoS within inquiry-based learning approach is eligible based on the assessment from excellent by experts and teachers, students’ scientific literacy can improve high category of the N-gain score at 0.71 by using student worksheet with Nature of Science (NoS) within inquiry approach.

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.

Examples of verification knowledge and testing of the secondary students through the worksheet. Suggestions for leisure time activities

International Nuclear Information System (INIS)

Chmielewska, E.; Kuruc, J.

2010-01-01

In this chapter some examples of verification knowledge and testing of the secondary students through the worksheet as well as suggestions for leisure time activities are presented. Used and recommended literature is included.

Teacher's Ability to Develop Learning Materials Potentially Mathematical Discourse

Directory of Open Access Journals (Sweden)

Hamdani Hamdani

2017-10-01

Full Text Available In the process of learning in the field, the teacher still dominates the conversation while the students as a passive listener. As a result, not only the communication skills of students who are less developed, the understanding of student material is also lacking. Therefore it is necessary to research the ability of teachers in developing learning tools potentially mathematical discourse to improve students' mathematical communication skills. The research method used is descriptive. Research activities include: identification of problems through questionnaires, observation, and interviews; teacher training; teachers develop learning tools; validation; and enhancement of the device by the teacher. The subject of this research is the junior high school mathematics teacher from several districts in the border area of Sambas-Sarawak Regency. The results show that in every learning mathematics there is always a conversation between teachers and students, but rarely use the question "why" and "how". Most teacher-made lesson plans contain scenarios of conversations between teachers and students, but just plain questioning, have not led to a debate between each other so that understanding becomes deeper. Student worksheet made by the teacher in the form of a matter of the ordinary story, rarely load non-routine problem let alone open-ended.

Investigating Pre-service Mathematics Teachers’ Geometric Problem Solving Process in Dynamic Geometry Environment

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Deniz Özen

2013-03-01

Full Text Available The aim of this study is to investigate pre-service elementary mathematics teachers’ open geometric problem solving process in a Dynamic Geometry Environment. With its qualitative inquiry based research design employed, the participants of the study are three pre-service teachers from 4th graders of the Department of Elementary Mathematics Teaching. In this study, clinical interviews, screencaptures of the problem solving process in the Cabri Geomery Environment, and worksheets included 2 open geometry problems have been used to collect the data. It has been investigated that all the participants passed through similar recursive phases as construction, exploration, conjecture, validate, and justification in the problem solving process. It has been thought that this study provide a new point of view to curriculum developers, teachers and researchers

Exploring the Planets: A Mathematical Journey

Science.gov (United States)

Campbell, M. B.; Johnson, C. L.

2002-12-01

We have developed a series of lessons, designed to teach and reinforce mathematics through lessons about Earth and the bodies that most resemble it in the solar system: Mars, Venus, and the Moon. All lessons are based on California mathematics standards and also cover some Earth science content standards. The overall goal is to achieve cross-curricular learning objectives by showing how math and science work together. While the lessons are designed for a 7th grade math class, they could easily be adapted for a science class, or even modified for different grade levels. The lessons are designed to make recent discoveries in planetary science accessible to students in under-resourced schools. The set of five lessons makes up one unit to be taught consecutively. All the lessons are designed for the alternate day 1 hr and 50 min block scheduling, however the activities could be divided up over two days to accommodate a traditional schedule. There are a total of five lessons, plus a unit test and alternative assessment activities to be given on the sixth day of the unit. In a normal block schedule, the unit should take three weeks. The lessons are available on the web at http://mahi.ucsd.edu/johnson/mathjourney. Each lesson plan comprises the lesson objectives (along with the relevant California 7th grade mathematics standards), a warm-up activity, a vocabulary list (containing words that may be unfamiliar to students, especially those who are learning English), materials required for the class, the lesson structure plus sample dialogue, and in-class and homework activities and worksheets. The in-class activities and worksheets give students the opportunity to master concepts, and can also be useful as a formative assessment tool for the teacher. The mid-unit quiz, final test, and final project can be used as summative assessments. The lessons will be tested this fall by the first author at Davis Middle School, Compton, CA. They will also be disseminated among Teach For

Understanding space weather with new physical, mathematical and philosophical approaches

Science.gov (United States)

Mateev, Lachezar; Velinov, Peter; Tassev, Yordan

2016-07-01

The actual problems of solar-terrestrial physics, in particular of space weather are related to the prediction of the space environment state and are solved by means of different analyses and models. The development of these investigations can be considered also from another side. This is the philosophical and mathematical approach towards this physical reality. What does it constitute? We have a set of physical processes which occur in the Sun and interplanetary space. All these processes interact with each other and simultaneously participate in the general process which forms the space weather. Let us now consider the Leibniz's monads (G.W. von Leibniz, 1714, Monadologie, Wien; Id., 1710, Théodicée, Amsterdam) and use some of their properties. There are total 90 theses for monads in the Leibniz's work (1714), f.e. "(1) The Monad, of which we shall here speak, is nothing but a simple substance, which enters into compounds. By 'simple' is meant 'without parts'. (Theod. 10.); … (56) Now this connexion or adaptation of all created things to each and of each to all, means that each simple substance has relations which express all the others, and, consequently, that it is a perpetual living mirror of the universe. (Theod. 130, 360.); (59) … this universal harmony, according to which every substance exactly expresses all others through the relations it has with them. (63) … every Monad is, in its own way, a mirror of the universe, and the universe is ruled according to a perfect order. (Theod. 403.)", etc. Let us introduce in the properties of monads instead of the word "monad" the word "process". We obtain the following statement: Each process reflects all other processes and all other processes reflect this process. This analogy is not formal at all, it reflects accurately the relation between the physical processes and their unity. The category monad which in the Leibniz's Monadology reflects generally the philosophical sense is fully identical with the

Constructivism in mathematics

CERN Document Server

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

Discovery learning model with geogebra assisted for improvement mathematical visual thinking ability

Science.gov (United States)

Juandi, D.; Priatna, N.

2018-05-01

The main goal of this study is to improve the mathematical visual thinking ability of high school student through implementation the Discovery Learning Model with Geogebra Assisted. This objective can be achieved through study used quasi-experimental method, with non-random pretest-posttest control design. The sample subject of this research consist of 62 senior school student grade XI in one of school in Bandung district. The required data will be collected through documentation, observation, written tests, interviews, daily journals, and student worksheets. The results of this study are: 1) Improvement students Mathematical Visual Thinking Ability who obtain learning with applied the Discovery Learning Model with Geogebra assisted is significantly higher than students who obtain conventional learning; 2) There is a difference in the improvement of students’ Mathematical Visual Thinking ability between groups based on prior knowledge mathematical abilities (high, medium, and low) who obtained the treatment. 3) The Mathematical Visual Thinking Ability improvement of the high group is significantly higher than in the medium and low groups. 4) The quality of improvement ability of high and low prior knowledge is moderate category, in while the quality of improvement ability in the high category achieved by student with medium prior knowledge.

Mathematical model of parking space unit for triangular parking area

Science.gov (United States)

Syahrini, Intan; Sundari, Teti; Iskandar, Taufiq; Halfiani, Vera; Munzir, Said; Ramli, Marwan

2018-01-01

Parking space unit (PSU) is an effective measure for the area size of a vehicle, including the free space and the width of the door opening of the vehicle (car). This article discusses a mathematical model for parking space of vehicles in triangular shape area. An optimization model for triangular parking lot is developed. Integer Linear Programming (ILP) method is used to determine the maximum number of the PSU. The triangular parking lot is in isosceles and equilateral triangles shape and implements four possible rows and five possible angles for each field. The vehicles which are considered are cars and motorcycles. The results show that the isosceles triangular parking area has 218 units of optimal PSU, which are 84 units of PSU for cars and 134 units of PSU for motorcycles. Equilateral triangular parking area has 688 units of optimal PSU, which are 175 units of PSU for cars and 513 units of PSU for motorcycles.

Mathematical model for adaptive control system of ASEA robot at Kennedy Space Center

Science.gov (United States)

Zia, Omar

1989-01-01

The dynamic properties and the mathematical model for the adaptive control of the robotic system presently under investigation at Robotic Application and Development Laboratory at Kennedy Space Center are discussed. NASA is currently investigating the use of robotic manipulators for mating and demating of fuel lines to the Space Shuttle Vehicle prior to launch. The Robotic system used as a testbed for this purpose is an ASEA IRB-90 industrial robot with adaptive control capabilities. The system was tested and it's performance with respect to stability was improved by using an analogue force controller. The objective of this research project is to determine the mathematical model of the system operating under force feedback control with varying dynamic internal perturbation in order to provide continuous stable operation under variable load conditions. A series of lumped parameter models are developed. The models include some effects of robot structural dynamics, sensor compliance, and workpiece dynamics.

Implementation of student’s worksheet based on project based learning (pjbl to foster student’s creativity

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Sahtoni Sahtoni

2017-12-01

Full Text Available This study aimed to foster student creativity through the use of student worksheet based on Project Base Learning (PjBL on dynamic electrical material in making alternative power sources. The research method is using a pre-experimental design with One-Shot case study type. The study population was students of class IX MTs Al-Islah in Pesawaran Lampung. A sample of one class consisting  of 30 people was obtained by purposive sumpling. Data analysis was done by using descriptive concerning creativity, product, and response of students to see effectiveness of learning. The results showed that the application of student worksheet based on project based learning is overall effective to foster creativity of student. Based on the average of student’s creativity, the result is 80% which categorized as “creative.” Based on the average of student’s product, the result is 76.2% which categorized as “valuable.” The student’s response is positive as much as 92% which categorized as “very agree.”

Using a commercial mathematics software package for on-line analysis at the BNL Accelerator Test Facility

International Nuclear Information System (INIS)

Malone, R.; Wang, X.J.

1999-01-01

BY WRITING BOTH A CUSTOM WINDOWS(NTTM) DYNAMIC LINK LIBRARY AND GENERIC COMPANION SERVER SOFTWARE, THE INTRINSIC FUNCTIONS OF MATHSOFT MATHCAD(TM) HAVE BEEN EXTENDED WITH NEW CAPABILITIES WHICH PERMIT DIRECT ACCESS TO THE CONTROL SYSTEM DATABASES OF BROOKHAVEN NATIONAL LABORATORY ACCELERATOR TEST FACILITY. UNDER THIS SCHEME, A MATHCAD WORKSHEET EXECUTING ON A PERSONAL COMPUTER BECOMES A CLIENT WHICH CAN BOTH IMPORT AND EXPORT DATA TO A CONTROL SYSTEM SERVER VIA A NETWORK STREAM SOCKET CONNECTION. THE RESULT IS AN ALTERNATIVE, MATHEMATICALLY ORIENTED VIEW OF CONTROLLING THE ACCELERATOR INTERACTIVELY

A Comparison of iPads and Worksheets on Math Skills of High School Students with Emotional Disturbance

Science.gov (United States)

Haydon, Todd; Hawkins, Renee; Denune, Hillary; Kimener, Lauren; McCoy, Dacia; Basham, James

2012-01-01

The authors used an alternating treatments design to compare the effects of a worksheet condition and an iPad condition on math fluency and active academic engagement during a high school math class in an alternative school setting. Following group instruction, the three participants engaged in independent seatwork either by completing problems on…

Pengembangan Lembar Aktivitas Siswa (LAS Matematika Kelas X SMA Dengan Penerapan Variasi Model Pembelajaran Kooperatif

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Tetty Natalia Sipayung

2018-03-01

Full Text Available Abstrak. Tujuan dari penelitian ini adalah untuk mengetahui: (1 validitas Lembar Aktivitas Siswa (LAS matematika kelas X SMA yang dikembangkan dengan penerapan variasi model pembelajaran kooperatif; (2 efektivitas pembelajaran dengan menggunakan Lembar Aktivitas Siswa  matematika dengan menerapkan variasi model pembelajaran kooperatif. Adapun jenis penelitian ini adalah penelitian dan pengembangan (Research and Development yang mengembangkan bahan ajar berupa Lembar Aktivitas Siswa. Hasil dari penelitian ini adalah: (1 Lembar Aktivitas Siswa matematika kelas X SMA yang dikembangkan adalah valid dengan skor rata-rata dari validator adalah 4,56 atau 91,2%. Dikatakan valid artinya layak digunakan atau dipakai dalam pembelajaran matematika; (2 Pembelajaran dengan menggunakan Lembar Aktivitas Siswa matematika dengan menerapkan variasi model pembelajaran kooperatif adalah efektif. Hal tersebut dianalisis berdasarkan observasi aktivitas siswa, kemampuan guru dalam mengelola pembelajaran, dan hasil belajar siswa di kelas eksperimen dan di kelas kontrol. Siswa pada kelas eksperimen dibelajarkan dengan menggunakan Lembar Aktivitas Siswa (LAS dan menerapkan variasi model pembelajaran kooperatif yaitu tipe Student Teams Achievement Division (STAD, Numbered Head Together (NHT, Think Pair Share (TPS, dan Jigsaw pada kelas eksperimen. Sementara siswa pada kelas kontrol dibelajarkan tanpa menggunakan Lembar Aktivitas Siswa (LAS dan menerapkan pembelajaran konvensional. Kata Kunci: Lembar Aktivitas Siswa, Model Pembelajaran Kooperatif    Abstract. The objectives of the research are: (1 The validity of student’s Mathematic worksheet for tenth grade of senior high school using various cooperative leaning models; (2 The learning effectiveness of student’s Mathematic worksheet sheet using various cooperative learning. The method used is research and development that develops students’ Mathematic worksheet as teaching media. The research findings are as

Analisis Domain Proses COBIT Framework 5 Pada Sistem Informasi Worksheet (Studi Kasus: Perguruan Tinggi STMIK, Politeknik Palcomtech

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Fahmi Ajismanto

2018-01-01

Full Text Available Perguruan tinggi Stmik, PalComTech adalah lembaga pendidikan komputer dan internet yang berdiri sejak tahun 2003. PalComTech menggunakan Sistem belajar praktek, diskusi, pemecahan studi kasus, praktikum di laboratorium dan setiap pertemuan didukung dengan fasilitas komputer dan internet. Sistem Pembelajaran Worksheet merupakan sistem informasi akademik yang digunakan oleh STMIK Palcomtech Palembang dalam kegiatan belajar mengajar. Penelitian ini menentukan domain proses pada Control Objectives for Information and Related Technology (COBIT 5 dan Analisa Current Maturity Level, pengukuran tingkat kematangan tata kelola Worksheet. Metode yang digunakan yaitu, deskriptif, quantitative dan metode analisis mengunakan COBIT 5. Berdasarkan hasil dari penelitian ini ditemukan bahwa proses domain COBIT Framework versi 5 yang digunakan adalah: (1. EDM, (Evaluate, Direct And Monitor, (a EDM03, (b EDM04 sedangkan pada domain  (2. APO (Align Plan and Organise yaitu: (a. APO02, (b. APO04, (c. APO07, (d. APO11, (e. APO12, (f. APO13 dan pada domain (3. MEA (Monitor Evaluate and Assess yaitu: MEA01. Hasil dari Analisis Current Maturity Level adalah: (1. EDM03 : 4,23 berada pada level 4 - Managed and Measureable,(2. APO12 : 4,15 berada pada level 4 - Managed and Measureable,   (3. APO07 : 4,07 berada pada level 4 - Managed and Measureable, (4. MEA01 Memantau,: 3,96 berada pada level 4 - Managed and Measureable, (5. EDM04: 3,90 berada pada level 4 - Managed and Measureable, (6. APO11: 3,80 berada pada level 4 - Managed and Measureable, (7. APO02: 3,70 berada pada level 4 -  Managed and Measureable, (8. APO13 : 3,61 berada pada level 4 - Managed and Measureable, (9. APO04: 3,55 berada pada level 4 - Managed and Measureable.   Keywords : COBIT Fremework 5, Tata Kelola TI, Domain Proses, Worksheet

TEACHING LEARNING MATERIALS: THE REVIEWS COURSEBOOKS, GAMES, WORKSHEETS, AUDIO VIDEO FILES

Directory of Open Access Journals (Sweden)

Anak Agung Sagung Shanti Sari Dewi

2016-11-01

Full Text Available Teaching learning materials (TLM has been widely recognised as one of most important components in language teaching to support the success of language learning. TLM is essential for teachers in planning their lessons, assisting them in their professional duty, and use them as rosources to describe instructions. This writing reviews 10 (ten teaching learning materials in the form of cousebooks, games, worksheets, and audio video files. The materials were chosen randomly and were analysed qualitatively. The discussion of the materials is done individually by presenting their target learners, how they are applied by teachers and students, the aims of the use of the materials, and the role of teachers and learners in different kind of TLM.

Mathematical Model of the Public Understanding of Space Science

Science.gov (United States)

Prisniakov, V.; Prisniakova, L.

science. The boundary sectioning area of effective and unefficient modes of training and education of the population of country in space spirit is determined. The mathematical model of quality of process of education concern to an outer space exploration is reviewed separately. The coefficient of quality of education in an estimation of space event is submitted as relation Δ I' to mismatch of the universal standard of behavior with the information, which is going to the external spectator, about the applicable reacting of the considered individual Δ I''. The obtained outcomes allow to control a learning process and education of the society spirit of adherence to space ideals of mankind.

The Effect of Concept Cartoon-Embedded Worksheets on Grade 9 Students' Conceptual Understanding of Newton's Laws of Motion

Science.gov (United States)

Atasoy, Sengül; Ergin, Serap

2017-01-01

Background: A substantial review study of concept cartoons reports that few studies have indicated their functions. For this reason, the present study illuminates the extent to which concept cartoon-embedded worksheets (through constructivist context) accomplish these functions in conceptual learning. Purpose: The purpose of the study is to…

Developing mathematics learning set for special-needs junior high school student oriented to learning interest and achievement

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Ai Sadidah

2016-11-01

Full Text Available This study aims to produce a mathematics learning set for special-needs students (mathematical learning disability and mathematically gifted of Junior High School Grade VIII Second Semester oriented to learning interests and achievement which is valid, practical, and effective. This study was a research and development study using the Four-D development model consisting of four stages: (1 define, (2 design, (3 develop, and (4 disseminate. The quality of learning set consisting of the following three criterions: (1 validity, (2 practicality, and (3 effectiveness.  The data analysis technique used in this study is a descriptive quantitative analysis. The research produced learning set consisting of lesson plans and student worksheets. The result of the research shows that: (1 the learning set fulfill the valid criteria base on experts’ appraisal; (2 the learning set fulfill the practical criterion base on teacher’s and students’ questionnaire, and observation of learning implementation; (3 the learning set fulfill the effectiveness criterion base on learning interest and achievement.

A primer on Hilbert space theory linear spaces, topological spaces, metric spaces, normed spaces, and topological groups

CERN Document Server

Alabiso, Carlo

2015-01-01

This book is an introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics. Linear, topological, metric, and normed spaces are all addressed in detail, in a rigorous but reader-friendly fashion. The rationale for an introduction to the theory of Hilbert space, rather than a detailed study of Hilbert space theory itself, resides in the very high mathematical difficulty of even the simplest physical case. Within an ordinary graduate course in physics there is insufficient time to cover the theory of Hilbert spaces and operators, as well as distribution theory, with sufficient mathematical rigor. Compromises must be found between full rigor and practical use of the instruments. The book is based on the author's lessons on functional analysis for graduate students in physics. It will equip the reader to approach Hilbert space and, subsequently, rigged Hilbert space, with a more practical attitude. With respect to the original lectures, the mathematical flavor in all sub...

Mathematics Instructional Model Based on Realistic Mathematics Education to Promote Problem Solving Ability at Junior High School Padang

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Edwin Musdi

2016-02-01

Full Text Available This research aims to develop a mathematics instructional model based realistic mathematics education (RME to promote students' problem-solving abilities. The design research used Plomp models, which consists of preliminary phase, development or proto-typing phase and assessment phase.  At this study, only the first two phases conducted. The first phase, a preliminary investigation, carried out with a literature study to examine the theory-based instructional learning RME model, characteristics of learners, learning management descriptions by junior high school mathematics teacher and relevant research. The development phase is done by developing a draft model (an early prototype model that consists of the syntax, the social system, the principle of reaction, support systems, and the impact and effects of instructional support. Early prototype model contain a draft model, lesson plans, worksheets, and assessments. Tesssmer formative evaluation model used to revise the model. In this study only phase of one to one evaluation conducted. In the ppreliminary phase has produced a theory-based learning RME model, a description of the characteristics of learners in grade VIII Junior High School Padang and the description of teacher teaching in the classroom. The result showed that most students were still not be able to solve the non-routine problem. Teachers did not optimally facilitate students to develop problem-solving skills of students. It was recommended that the model can be applied in the classroom.

Vamos a Jugar Counters! Learning Mathematics through Funds of Knowledge, Play, and the Third Space

Science.gov (United States)

Razfar, Aria

2012-01-01

Drawing on Cultural Historical Activity Theory (CHAT), funds of knowledge, and third space, this article presents a model for practitioners and researchers to think about how Latina/o, bilingual children develop explicit mathematics strategies through multilingual and multigenerational interactions. Using data collected through fieldwork in an…

Mathematics for water and wastewater operations -- 6th ed. Sixth edition

Energy Technology Data Exchange (ETDEWEB)

NONE

1994-12-31

An operator of a water or wastewater treatment plant should routinely evaluate the efficiency of the individual process units and of the plant. This manual is intended to help the operator to determine process efficiency through the use of mathematical calculations rather than trial-and-error methods. The bulk of the manual consists of sample problems of typical in-plant situations, step-by-step descriptions of what the operator might consider in solving these problems, and worksheets for use in conjunction with other manuals used in courses on water treatment and sludge technology. Sections of the manual cover calculations for basic water treatment operations, the activated sludge process, the anaerobic digestion process, filtration, and chemical feed rates. Appendices contain conversion factors, formulas, and answers to problems.

Mathematical quantization

CERN Document Server

Weaver, Nik

2001-01-01

With a unique approach and presenting an array of new and intriguing topics, Mathematical Quantization offers a survey of operator algebras and related structures from the point of view that these objects are quantizations of classical mathematical structures. This approach makes possible, with minimal mathematical detail, a unified treatment of a variety of topics.Detailed here for the first time, the fundamental idea of mathematical quantization is that sets are replaced by Hilbert spaces. Building on this idea, and most importantly on the fact that scalar-valued functions on a set correspond to operators on a Hilbert space, one can determine quantum analogs of a variety of classical structures. In particular, because topologies and measure classes on a set can be treated in terms of scalar-valued functions, we can transfer these constructions to the quantum realm, giving rise to C*- and von Neumann algebras.In the first half of the book, the author quickly builds the operator algebra setting. He uses this ...

Developing students' worksheets applying soft skill-based scientific approach for improving building engineering students' competencies in vocational high schools

Science.gov (United States)

Suparno, Sudomo, Rahardjo, Boedi

2017-09-01

Experts and practitioners agree that the quality of vocational high schools needs to be greatly improved. Many construction services have voiced their dissatisfaction with today's low-quality vocational high school graduates. The low quality of graduates is closely related to the quality of the teaching and learning process, particularly teaching materials. In their efforts to improve the quality of vocational high school education, the government have implemented Curriculum 2013 (K13) and supplied teaching materials. However, the results of monitoring and evaluation done by the Directorate of Vocational High School, Directorate General of Secondary Education (2014), the provision of tasks for students in the teaching materials was totally inadequate. Therefore, to enhance the quality and the result of the instructional process, there should be provided students' worksheets that can stimulate and improve students' problem-solving skills and soft skills. In order to develop worksheets that can meet the academic requirements, the development needs to be in accordance with an innovative learning approach, which is the soft skill-based scientific approach.

Framing discourse for optimal learning in science and mathematics

Science.gov (United States)

Megowan, Mary Colleen

2007-12-01

This study explored the collaborative thinking and learning that occurred in physics and mathematics classes where teachers practiced Modeling Instruction. Four different classes were videotaped---a middle school mathematics resource class, a 9th grade physical science class, a high school honors physics class and a community college engineering physics course. Videotapes and transcripts were analyzed to discover connections between the conceptual structures and spatial representations that shaped students' conversations about space and time. Along the way, it became apparent that students' and teachers' cultural models of schooling were a significant influence, sometimes positive and sometimes negative, in students' engagement and metaphor selection. A growing number of researchers are exploring the importance of semiotics in physics and mathematics, but typically their unit of analysis is the individual student. To examine the distributed cognition that occurred in this unique learning setting, not just among students but also in connection with their tools, artifacts and representations, I extended the unit of analysis for my research to include small groups and their collaborative work with whiteboarded representations of contextual problems and laboratory exercises. My data revealed a number of interesting insights. Students who constructed spatial representations and used them to assist their reasoning, were more apt to demonstrate a coherent grasp of the elements, operations, relations and rules that govern the model under investigation than those who relied on propositional algebraic representations of the model. In classrooms where teachers permitted and encouraged students to take and hold the floor during whole-group discussions, students learned to probe one another more deeply and conceptually. Shared representations (whether spatial or propositional/algebraic), such as those that naturally occurred when students worked together in small groups to

The mathematical modelling of plasmas at the service of space technologies

International Nuclear Information System (INIS)

Besse, Christophe; Degond, Pierre; Vignal, Marie-Helene

2001-01-01

The objective is here to provide a background for some aspects of the mathematical modelling in physics (i.e. a physical problem, its description by an appropriate set of equations, a reduction of this set, implementation on a computer, selection of test cases, validation, result interpretation, visualisation, exploitation of the code for prediction or production purposes), in the case of aspects related to plasmas in space environment. These plasmas can be those of the environment (ionosphere), those created by abnormal operating conditions of the satellite (induced discharges), or those used for technological purposes (plasma propulsion). After a presentation of some basic notions regarding space environment (scales, sun and solar wind, definition of a plasma, magnetosphere, ionosphere), the authors propose a modelling of ionospheric irregularities (model of Euler-Maxwell, model without dimension, three-dimensional dynamo model, quasi-two-dimensional dynamo model, striation model, turbulence modelling). They address the problem of discharges occurring on satellites: problem description, scenario description, Vlasov equation, limits and numerical results

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 ...

Mathematical methods in physics distributions, Hilbert space operators, variational methods, and applications in quantum physics

CERN Document Server

Blanchard, Philippe

2015-01-01

The second edition of this textbook presents the basic mathematical knowledge and skills that are needed for courses on modern theoretical physics, such as those on quantum mechanics, classical and quantum field theory, and related areas.  The authors stress that learning mathematical physics is not a passive process and include numerous detailed proofs, examples, and over 200 exercises, as well as hints linking mathematical concepts and results to the relevant physical concepts and theories.  All of the material from the first edition has been updated, and five new chapters have been added on such topics as distributions, Hilbert space operators, and variational methods.   The text is divided into three main parts. Part I is a brief introduction to distribution theory, in which elements from the theories of ultradistributions and hyperfunctions are considered in addition to some deeper results for Schwartz distributions, thus providing a comprehensive introduction to the theory of generalized functions. P...

Profile of Secondary School Students with High Mathematics Ability in Solving Shape and Space Problem

Science.gov (United States)

Putra, Mulia; Novita, Rita

2015-01-01

This study aimed to describe the profile of secondary school students with high mathematics ability in solving shape and space problem in PISA (Program for International Student Assessment). It is a descriptive research with a qualitative approach, in which the subjects in this study were students of class VIII SMP N 1 Banda Aceh. The results show…

Knowledge spaces

CERN Document Server

Doignon, Jean-Paul

1999-01-01

Knowledge spaces offer a rigorous mathematical foundation for various practical systems of knowledge assessment. An example is offered by the ALEKS system (Assessment and LEarning in Knowledge Spaces), a software for the assessment of mathematical knowledge. From a mathematical standpoint, knowledge spaces generalize partially ordered sets. They are investigated both from a combinatorial and a stochastic viewpoint. The results are applied to real and simulated data. The book gives a systematic presentation of research and extends the results to new situations. It is of interest to mathematically oriented readers in education, computer science and combinatorics at research and graduate levels. The text contains numerous examples and exercises and an extensive bibliography.

The golden mean in the topology of four-manifolds, in conformal field theory, in the mathematical probability theory and in Cantorian space-time

International Nuclear Information System (INIS)

Marek-Crnjac, L.

2006-01-01

In the present work we show the connections between the topology of four-manifolds, conformal field theory, the mathematical probability theory and Cantorian space-time. In all these different mathematical fields, we find as the main connection the appearance of the golden mean

Applied mathematics

CERN Document Server

Logan, J David

2013-01-01

Praise for the Third Edition"Future mathematicians, scientists, and engineers should find the book to be an excellent introductory text for coursework or self-study as well as worth its shelf space for reference." -MAA Reviews Applied Mathematics, Fourth Edition is a thoroughly updated and revised edition on the applications of modeling and analyzing natural, social, and technological processes. The book covers a wide range of key topics in mathematical methods and modeling and highlights the connections between mathematics and the applied and nat

Mathematics in civilization

CERN Document Server

Resnikoff, Howard L

2015-01-01

Space flight, computers, lasers, and information technology ― these are but a few examples of the spectacular growth, development, and far-reaching applications of mathematics. But what of the field's past? Upon which intellectual milestones were the foundations of modern mathematics constructed? How has our comprehension of the physical universe, language, and the nature of thought itself been influenced and informed by the developments of mathematics through the ages?This lucid presentation examines how mathematics shaped and was shaped by the course of human events. In a format suited to co

Space shuttle/payload interface analysis. Volume 4: Business Risk and Value of Operations in Space (BRAVO). Part 3: Workbook

Science.gov (United States)

1974-01-01

A collection of blank worksheets for use on each BRAVO problem to be analyzed is supplied, for the purposes of recording the inputs for the BRAVO analysis, working out the definition of mission equipment, recording inputs to the satellite synthesis computer program, estimating satellite earth station costs, costing terrestrial systems, and cost effectiveness calculations. The group of analysts working BRAVO will normally use a set of worksheets on each problem, however, the workbook pages are of sufficiently good quality that the user can duplicate them, if more worksheet blanks are required than supplied. For Vol. 1, see N74-12493; for Vol. 2, see N74-14530.

Mathematical Modeling in the Undergraduate Curriculum

Science.gov (United States)

Toews, Carl

2012-01-01

Mathematical modeling occupies an unusual space in the undergraduate mathematics curriculum: typically an "advanced" course, it nonetheless has little to do with formal proof, the usual hallmark of advanced mathematics. Mathematics departments are thus forced to decide what role they want the modeling course to play, both as a component of the…

Visual arts and the teaching of the mathematical concepts of shape and space in Grade R classrooms

Directory of Open Access Journals (Sweden)

Dianne Wilmot

2015-09-01

Full Text Available This article addresses the need for research in the areas of Grade R curriculum and pedagogy, Grade R teacher professional development, and early years mathematics teaching. More specifically, it responds to the need for teacher professional development in Grade R mathematics teaching of the geometric concepts of space and shape. The article describes a study about teachers’ understanding of how visual arts can be used as pedagogical modality. The study was prompted by the findings of a ‘Maths and Science through Arts and Culture Curriculum’ intervention undertaken with Grade R teachers enrolled for a Bachelor of Education (Foundation Phase degree at a South African university. Post-intervention, teachers’ classroom practices did not change, and they were not using visual arts to teach mathematical concepts. The lessons learned from the research intervention may contribute to the wider debate about Grade R teaching and children’s learning.

Introduction to mathematical physics methods and concepts

CERN Document Server

Wong, Chun Wa

2013-01-01

Mathematical physics provides physical theories with their logical basis and the tools for drawing conclusions from hypotheses. Introduction to Mathematical Physics explains to the reader why and how mathematics is needed in the description of physical events in space. For undergraduates in physics, it is a classroom-tested textbook on vector analysis, linear operators, Fourier series and integrals, differential equations, special functions and functions of a complex variable. Strongly correlated with core undergraduate courses on classical and quantum mechanics and electromagnetism, it helps the student master these necessary mathematical skills. It contains advanced topics of interest to graduate students on relativistic square-root spaces and nonlinear systems. It contains many tables of mathematical formulas and references to useful materials on the Internet. It includes short tutorials on basic mathematical topics to help readers refresh their mathematical knowledge. An appendix on Mathematica encourages...

Learning Spaces

CERN Document Server

Falmagne, Jean-Claude

2011-01-01

Learning spaces offer a rigorous mathematical foundation for practical systems of educational technology. Learning spaces generalize partially ordered sets and are special cases of knowledge spaces. The various structures are investigated from the standpoints of combinatorial properties and stochastic processes. Leaning spaces have become the essential structures to be used in assessing students' competence of various topics. A practical example is offered by ALEKS, a Web-based, artificially intelligent assessment and learning system in mathematics and other scholarly fields. At the heart of A

A Mathematical Approach to Establishing Constitutive Models for Geomaterials

Directory of Open Access Journals (Sweden)

Guang-hua Yang

2013-01-01

Full Text Available The mathematical foundation of the traditional elastoplastic constitutive theory for geomaterials is presented from the mathematical point of view, that is, the expression of stress-strain relationship in principal stress/strain space being transformed to the expression in six-dimensional space. A new framework is then established according to the mathematical theory of vectors and tensors, which is applicable to establishing elastoplastic models both in strain space and in stress space. Traditional constitutive theories can be considered as its special cases. The framework also enables modification of traditional constitutive models.

The mathematics of the modernist villa architectural analysis using space syntax and isovists

CERN Document Server

Ostwald, Michael J

2018-01-01

This book presents the first detailed mathematical analysis of the social, cognitive and experiential properties of Modernist domestic architecture. The Modern Movement in architecture, which came to prominence during the first half of the twentieth century, may have been famous for its functional forms and machine-made aesthetic, but it also sought to challenge the way people inhabit, understand and experience space. Ludwig Mies van der Rohe’s buildings were not only minimalist and transparent, they were designed to subvert traditional social hierarchies. Frank Lloyd Wright’s organic Modernism not only attempted to negotiate a more responsive relationship between nature and architecture, but also shape the way people experience space. Richard Neutra’s Californian Modernism is traditionally celebrated for its sleek, geometric forms, but his intention was to use design to support a heightened understanding of context. Glenn Murcutt’s pristine pavilions, seemingly the epitome of regional Modernism, actu...

Mathematics education and the dignity of being

Directory of Open Access Journals (Sweden)

Paola Valero

2012-11-01

Full Text Available On the grounds of our work as researchers, teacher educators and teachers engaging with a socio-political approach in mathematics education in Colombia, we propose to understand democracy in terms of the possibility of constructing a social subjectivity for the dignity of being. We address the dilemma of how the historical insertion of school mathematics in relation to the Colonial project of assimilation of Latin American indigenous peoples into the episteme of the Enlightenment and Modernity is in conflict with the possibility of the promotion of a social subjectivity in mathematics classrooms. We illustrate a pedagogical possibility to move towards a mathematics education for social subjectivity with our work in reassembling the notion of geometrical space in the Colombian secondary school mathematics curriculum with notions of space from critical geography and the problem of territorialisation, and Latin American epistemology with the notion of intimate space as an important element of social subjectivity.

Topological properties of function spaces over ordinal spaces

Czech Academy of Sciences Publication Activity Database

Gabriyelyan, S.; Grebík, Jan; Kąkol, Jerzy; Zdomskyy, L.

2017-01-01

Roč. 111, č. 4 (2017), s. 1157-1161 ISSN 1578-7303 R&D Projects: GA ČR GF16-34860L Institutional support: RVO:67985840 Keywords : Ascoli * rK-space * ordinal space Subject RIV: BA - General Mathematics OBOR OECD: Pure mathematics Impact factor: 0.690, year: 2016 https://link.springer.com/article/10.1007%2Fs13398-016-0354-7

McDonald's vs Father Christmas

Science.gov (United States)

Pratt, Dave; Simpson, Amanda

2004-01-01

Mathematics in textbooks and indeed in conventional classrooms is often presented as exercises or worksheets in which the mathematics itself has been processed into a form that is easily digested. This McDonald's version of mathematics ensures that the mathematical skill or technique is laid bare and typically the sole focus of attention. In this…

45 Re-imagining mathematics and mathematics education for equity ...

African Journals Online (AJOL)

The students begin by using their knowledge of school mathematics and propose three ..... discussions were 'strikingly internalistic', drawing on the ontology of ... activities, interactions, values, etc. in particular spaces and at particular times ...

Proceedings of the seventh EWM meeting, European Women in Mathematics

DEFF Research Database (Denmark)

The proceedings consist of a part concerning EWM and a mathematical part of mainly four series of papers. The series are within the following themes: Holomorphic Dynamics, Algebraic Geometry, Mathematical Physics and Moduli Spaces.......The proceedings consist of a part concerning EWM and a mathematical part of mainly four series of papers. The series are within the following themes: Holomorphic Dynamics, Algebraic Geometry, Mathematical Physics and Moduli Spaces....

Use of Six Sigma Worksheets for assessment of internal and external failure costs associated with candidate quality control rules for an ADVIA 120 hematology analyzer.

Science.gov (United States)

Cian, Francesco; Villiers, Elisabeth; Archer, Joy; Pitorri, Francesca; Freeman, Kathleen

2014-06-01

Quality control (QC) validation is an essential tool in total quality management of a veterinary clinical pathology laboratory. Cost-analysis can be a valuable technique to help identify an appropriate QC procedure for the laboratory, although this has never been reported in veterinary medicine. The aim of this study was to determine the applicability of the Six Sigma Quality Cost Worksheets in the evaluation of possible candidate QC rules identified by QC validation. Three months of internal QC records were analyzed. EZ Rules 3 software was used to evaluate candidate QC procedures, and the costs associated with the application of different QC rules were calculated using the Six Sigma Quality Cost Worksheets. The costs associated with the current and the candidate QC rules were compared, and the amount of cost savings was calculated. There was a significant saving when the candidate 1-2.5s, n = 3 rule was applied instead of the currently utilized 1-2s, n = 3 rule. The savings were 75% per year (£ 8232.5) based on re-evaluating all of the patient samples in addition to the controls, and 72% per year (£ 822.4) based on re-analyzing only the control materials. The savings were also shown to change accordingly with the number of samples analyzed and with the number of daily QC procedures performed. These calculations demonstrated the importance of the selection of an appropriate QC procedure, and the usefulness of the Six Sigma Costs Worksheet in determining the most cost-effective rule(s) when several candidate rules are identified by QC validation. © 2014 American Society for Veterinary Clinical Pathology and European Society for Veterinary Clinical Pathology.

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…

Twenty-first century quantum mechanics Hilbert space to quantum computers mathematical methods and conceptual foundations

CERN Document Server

Fano, Guido

2017-01-01

This book is designed to make accessible to nonspecialists the still evolving concepts of quantum mechanics and the terminology in which these are expressed. The opening chapters summarize elementary concepts of twentieth century quantum mechanics and describe the mathematical methods employed in the field, with clear explanation of, for example, Hilbert space, complex variables, complex vector spaces and Dirac notation, and the Heisenberg uncertainty principle. After detailed discussion of the Schrödinger equation, subsequent chapters focus on isotropic vectors, used to construct spinors, and on conceptual problems associated with measurement, superposition, and decoherence in quantum systems. Here, due attention is paid to Bell’s inequality and the possible existence of hidden variables. Finally, progression toward quantum computation is examined in detail: if quantum computers can be made practicable, enormous enhancements in computing power, artificial intelligence, and secure communication will result...

Revising the worksheet with L3: a language and environment foruser-script interaction

Energy Technology Data Exchange (ETDEWEB)

Hohn, Michael H.

2008-01-22

This paper describes a novel approach to the parameter anddata handling issues commonly found in experimental scientific computingand scripting in general. The approach is based on the familiarcombination of scripting language and user interface, but using alanguage expressly designed for user interaction and convenience. The L3language combines programming facilities of procedural and functionallanguages with the persistence and need-based evaluation of data flowlanguages. It is implemented in Python, has access to all Pythonlibraries, and retains almost complete source code compatibility to allowsimple movement of code between the languages. The worksheet interfaceuses metadata produced by L3 to provide selection of values through thescriptit self and allow users to dynamically evolve scripts withoutre-running the prior versions. Scripts can be edited via text editors ormanipulated as structures on a drawing canvas. Computed values are validscripts and can be used further in other scripts via simplecopy-and-paste operations. The implementation is freely available underan open-source license.

Learning higher mathematics

CERN Document Server

Pontrjagin, Lev Semenovič

1984-01-01

Lev Semenovic Pontrjagin (1908) is one of the outstanding figures in 20th century mathematics. In a long career he has made fundamental con­ tributions to many branches of mathematics, both pure and applied. He has received every honor that a grateful government can bestow. Though in no way constrained to do so, he has through the years taught mathematics courses at Moscow State University. In the year 1975 he set himself the task of writing a series of books on secondary school and beginning university mathematics. In his own words, "I wished to set forth the foundations of higher mathematics in a form that would have been accessible to myself as a lad, but making use of all my experience as a scientist and a teacher, ac­ cumulated over many years. " The present volume is a translation of the first two out of four moderately sized volumes on this theme planned by Pro­ fessor Pontrjagin. The book begins at the beginning of modern mathematics, analytic ge­ ometry in the plane and 3-dimensional space. Refin...

Orienteering in knowledge spaces: the hyperbolic geometry of Wikipedia Mathematics.

Directory of Open Access Journals (Sweden)

Gregory Leibon

Full Text Available In this paper we show how the coupling of the notion of a network with directions with the adaptation of the four-point probe from materials testing gives rise to a natural geometry on such networks. This four-point probe geometry shares many of the properties of hyperbolic geometry wherein the network directions take the place of the sphere at infinity, enabling a navigation of the network in terms of pairs of directions: the geodesic through a pair of points is oriented from one direction to another direction, the pair of which are uniquely determined. We illustrate this in the interesting example of the pages of Wikipedia devoted to Mathematics, or "The MathWiki." The applicability of these ideas extends beyond Wikipedia to provide a natural framework for visual search and to prescribe a natural mode of navigation for any kind of "knowledge space" in which higher order concepts aggregate various instances of information. Other examples would include genre or author organization of cultural objects such as books, movies, documents or even merchandise in an online store.

Ideas: NCTM Standards-Based Instruction, Grades K-4.

Science.gov (United States)

Hynes, Michael C., Ed.

This document is a collection of activity-based mathematics lessons for grades K-4 from the "Ideas" department in "Arithmetic Teacher: Mathematics Education through the Middle Grades." Each lesson includes background information, objectives, directions, extensions, and student worksheets. A matrix is included which correlates…

Ideas: NCTM Standards-Based Instruction, Grades 5-8.

Science.gov (United States)

Hynes, Michael C., Ed.

This document is a collection of activity-based mathematics lessons for grades 5-8 from the "Ideas" department in "Arithmetic Teacher: Mathematics Education through the Middle Grades." Each lesson includes background information, objectives, directions, extensions, and student worksheets. A matrix is included which correlates…

Elements of mathematics topological vector spaces

CERN Document Server

Bourbaki, Nicolas

2003-01-01

This is a softcover reprint of the English translation of 1987 of the second edition of Bourbaki's Espaces Vectoriels Topologiques (1981). This second edition is a brand new book and completely supersedes the original version of nearly 30 years ago. But a lot of the material has been rearranged, rewritten, or replaced by a more up-to-date exposition, and a good deal of new material has been incorporated in this book, all reflecting the progress made in the field during the last three decades. Table of Contents. Chapter I: Topological vector spaces over a valued field. Chapter II: Convex sets and locally convex spaces. Chapter III: Spaces of continuous linear mappings. Chapter IV: Duality in topological vector spaces. Chapter V: Hilbert spaces (elementary theory). Finally, there are the usual "historical note", bibliography, index of notation, index of terminology, and a list of some important properties of Banach spaces. (Based on Math Reviews, 1983).

Paradoxes in mathematics

CERN Document Server

Farlow, Stanley J

2014-01-01

Students and puzzle enthusiasts will get plenty of enjoyment plus some painless mathematical instruction from 28 conundrums, including The Curve That Shook the World, Space Travel in a Wineglass, and Through Cantor's Looking Glass.

Mathematics and physics

CERN Document Server

Manin, Yu I

1981-01-01

A bird's eye view of mathematics ; physical quantities, dimensions and constants : the source of numbers in physics ; a drop of milk : observer, observation, observable and unobservable ; space-time as a physical system ; action and symmetry.

Oh, What a Pane! An Inquiry Based on Activity with a Mathematical Approach to Investigation Windows on Earth...and in Space. Teacher Guide

Science.gov (United States)

Baker, Marshalyn; Mailhot, Michele; Graff, Paige Valderrama

2010-01-01

This is a teacher's guide to assist teachers in developing modules on windows for use in both earth and space and astronaut photographs. Activities incorporating mathematical exercises are suggested for grades five through ten.

Analyzing the Teaching of Advanced Mathematics Courses via the Enacted Example Space

Science.gov (United States)

Fukawa-Connelly, Timothy Patrick; Newton, Charlene

2014-01-01

Examples are believed to be very important in developing conceptual understanding of mathematical ideas, useful both in mathematics research and instruction (Bills & Watson in "Educational Studies in Mathematics" 69:77-79, 2008; Mason & Watson, 2008; Bills & Tall, 1998; Tall & Vinner, 1981). In this study, we draw on the…

Life science payloads planning study. [for space shuttle orbiters and spacelab

Science.gov (United States)

Nelson, W. G.; Wells, G. W.

1977-01-01

Preferred approaches and procedures were defined for integrating the space shuttle life sciences payload from experiment solicitation through final data dissemination at mission completion. The payloads operations plan was refined and expended to include current information. The NASA-JSC facility accommodations were assessed, and modifications recommended to improve payload processing capability. Standard format worksheets were developed to permit rapid location of experiment requirements and a Spacelab mission handbook was developed to assist potential life sciences investigators at academic, industrial, health research, and NASA centers. Practical, cost effective methods were determined for accommodating various categories of live specimens during all mission phases.

Mathematical foundations of event trees

International Nuclear Information System (INIS)

Papazoglou, Ioannis A.

1998-01-01

A mathematical foundation from first principles of event trees is presented. The main objective of this formulation is to offer a formal basis for developing automated computer assisted construction techniques for event trees. The mathematical theory of event trees is based on the correspondence between the paths of the tree and the elements of the outcome space of a joint event. The concept of a basic cylinder set is introduced to describe joint event outcomes conditional on specific outcomes of basic events or unconditional on the outcome of basic events. The concept of outcome space partition is used to describe the minimum amount of information intended to be preserved by the event tree representation. These concepts form the basis for an algorithm for systematic search for and generation of the most compact (reduced) form of an event tree consistent with the minimum amount of information the tree should preserve. This mathematical foundation allows for the development of techniques for automated generation of event trees corresponding to joint events which are formally described through other types of graphical models. Such a technique has been developed for complex systems described by functional blocks and it is reported elsewhere. On the quantification issue of event trees, a formal definition of a probability space corresponding to the event tree outcomes is provided. Finally, a short discussion is offered on the relationship of the presented mathematical theory with the more general use of event trees in reliability analysis of dynamic systems

Mathematical foundation of the application of modal analysis to the investigation of space-time reactor behaviour

International Nuclear Information System (INIS)

Obradovic, D.M.

1970-01-01

In recent years investigations in the field of kinetics and dynamics of nuclear reactors have been directed towards overcoming an insufficiently accurate point reactor model. For that purpose different mathematical approaches have been used. This thesis is devoted to modal analysis because, from the practical point of view, it is a very promising and, from the mathematical and physical point of view, a very interesting method. Some fundamental mathematical problems connected with the application of modal analysis to the investigations of the reactor space-time behaviour are still unsolved and accordingly our purpose is to solve some of these problems. The spectral properties of the diffusion and P 1 operators are studied in some detail applying the Krein-Rutman theory of the K-positive operators, the Krasnosel'skii theory of u 0 operators, and the Keldis theory of the operator families. The formal solution to the initial value problem (as an abstract Cauchy problem), associated with the diffusion and P 1 operators is also studied. Modal analysis is identified as a set of methods in the mathematical literature known as the Galerkin methods (or projection methods). Following this idea (using the results of the mathematical investigations of the Galerkin methods) and using our results of the investigations of the properties of the diffusion and P 1 operators, the applicability of modal analysis to the approximate solution of the diffusion and P 1 equations and of the eigenvalue problems associated with the diffusion and P 1 operators is established. As an example of the application of modal analysis the Bubnov and Galerkin method is applied to a multiregion thermal nuclear reactor for the determination of: (i) frequency response, (ii) eigenvalues and eigenvectors of the stationary diffusion operator, (iii) eigenvalues and eigenvectors of the non-stationary diffusion operators. On the basis of the expressions obtained the corresponding computer programmes for radial

Engaging Elementary Students in the Creative Process of Mathematizing Their World through Mathematical Modeling

Directory of Open Access Journals (Sweden)

Jennifer M. Suh

2017-06-01

Full Text Available This paper examines the experiences of two elementary teachers’ implementation of mathematical modeling in their classrooms and how the enactment by the teachers and the engagement by students exhibited their creativity, critical thinking, collaboration and communication skills. In particular, we explore the questions: (1 How can phases of mathematical modeling as a process serve as a venue for exhibiting students’ critical 21st century skills? (2 What were some effective pedagogical practices teachers used as they implemented mathematical modeling with elementary students and how did these promote students’ 21st century skills? We propose that mathematical modeling provides space for teachers and students to have a collective experience through the iterative process of making sense of and building knowledge of important mathematical ideas while engaging in the critical 21st century skills necessary in our complex modern world.

Pengembangan Perangkat Pembelajaran Bangun Ruang di SMP dengan Pendekatan Creative Problem Solving

Directory of Open Access Journals (Sweden)

Yuli Sulistyowati

2014-12-01

Abstract The aim of this research was to produce the solid instructional package with Creative Problem Solving  approach which have good quality based on the validity, practicality, and effectiveness criteria. This study was a research and development using the developmental model adapted from Thiagarajan, Semmel, and Semmel included define, design, develop, and disseminate stages. This study produces instructional package consists of lesson plans, student worksheets, achievement tests, and mathematical reasoning tests. The results of the validation showed that the developed package is very valid based on lesson plans, student worksheets, and tests. The results of the tryout indicated that lesson plans and student worksheets are practical and effective. The practicality was in  very practical category based on teacher’s assessment and practical category based on the implementation of learning and student’s assessment. The effectiveness was in the effective category based on student’s learning mastery. In the classical mastery learning it reached 76.67% for achievement and 90% for mathematical reasoning.   Keywords: development, instructional package, Creative Problem Solving

The Power of Probability: Poster/Teaching Guide for Grades 6-8. Expect the Unexpected with Math[R

Science.gov (United States)

Actuarial Foundation, 2013

2013-01-01

"The Power of Probability" is a new math program aligned with the National Council of Teachers of Mathematics (NCTM) and Common Core State Standards, which gives students opportunities to practice their skills and knowledge of the mathematics of probability. Developed by The Actuarial Foundation, the program's lessons and worksheets motivate…

Simplification of Markov chains with infinite state space and the mathematical theory of random gene expression bursts

Science.gov (United States)

Jia, Chen

2017-09-01

Here we develop an effective approach to simplify two-time-scale Markov chains with infinite state spaces by removal of states with fast leaving rates, which improves the simplification method of finite Markov chains. We introduce the concept of fast transition paths and show that the effective transitions of the reduced chain can be represented as the superposition of the direct transitions and the indirect transitions via all the fast transition paths. Furthermore, we apply our simplification approach to the standard Markov model of single-cell stochastic gene expression and provide a mathematical theory of random gene expression bursts. We give the precise mathematical conditions for the bursting kinetics of both mRNAs and proteins. It turns out that random bursts exactly correspond to the fast transition paths of the Markov model. This helps us gain a better understanding of the physics behind the bursting kinetics as an emergent behavior from the fundamental multiscale biochemical reaction kinetics of stochastic gene expression.

Frontiers in mathematical biology

CERN Document Server

1994-01-01

Volume 100, which is the final volume of the LNBM series serves to commemorate the acievements in two decades of this influential collection of books in mathematical biology. The contributions, by the leading mathematical biologists, survey the state of the art in the subject, and offer speculative, philosophical and critical analyses of the key issues confronting the field. The papers address fundamental issues in cell and molecular biology, organismal biology, evolutionary biology, population ecology, community and ecosystem ecology, and applied biology, plus the explicit and implicit mathematical challenges. Cross-cuttting issues involve the problem of variation among units in nonlinear systems, and the related problems of the interactions among phenomena across scales of space, time and organizational complexity.

Medical Image Segmentation using the HSI color space and Fuzzy Mathematical Morphology

Science.gov (United States)

Gasparri, J. P.; Bouchet, A.; Abras, G.; Ballarin, V.; Pastore, J. I.

2011-12-01

Diabetic retinopathy is the most common cause of blindness among the active population in developed countries. An early ophthalmologic examination followed by proper treatment can prevent blindness. The purpose of this work is develop an automated method for segmentation the vasculature in retinal images in order to assist the expert in the evolution of a specific treatment or in the diagnosis of a potential pathology. Since the HSI space has the ability to separate the intensity of the intrinsic color information, its use is recommended for the digital processing images when they are affected by lighting changes, characteristic of the images under study. By the application of color filters, is achieved artificially change the tone of blood vessels, to better distinguish them from the bottom. This technique, combined with the application of fuzzy mathematical morphology tools as the Top-Hat transformation, creates images of the retina, where vascular branches are markedly enhanced over the original. These images provide the visualization of blood vessels by the specialist.

Medical Image Segmentation using the HSI color space and Fuzzy Mathematical Morphology

International Nuclear Information System (INIS)

Gasparri, J P; Bouchet, A; Abras, G; Ballarin, V; Pastore, J I

2011-01-01

Diabetic retinopathy is the most common cause of blindness among the active population in developed countries. An early ophthalmologic examination followed by proper treatment can prevent blindness. The purpose of this work is develop an automated method for segmentation the vasculature in retinal images in order to assist the expert in the evolution of a specific treatment or in the diagnosis of a potential pathology. Since the HSI space has the ability to separate the intensity of the intrinsic color information, its use is recommended for the digital processing images when they are affected by lighting changes, characteristic of the images under study. By the application of color filters, is achieved artificially change the tone of blood vessels, to better distinguish them from the bottom. This technique, combined with the application of fuzzy mathematical morphology tools as the Top-Hat transformation, creates images of the retina, where vascular branches are markedly enhanced over the original. These images provide the visualization of blood vessels by the specialist.

Mathematics for operations research

CERN Document Server

1994-01-01

Effective procedures for mathematical tasks in many fields: resolving linear independence, finding null spaces and factors of matrices; differentiating vectors and matrices by chain rule, many more. Techniques illustrated in examples. 1,300 problems. 1978 edition.

Dual spaces of local Morrey-type spaces

Czech Academy of Sciences Publication Activity Database

Gogatishvili, Amiran; Mustafayev, Rza

2011-01-01

Roč. 61, č. 3 (2011), s. 609-622 ISSN 0011-4642 R&D Projects: GA ČR GA201/05/2033; GA ČR GA201/08/0383 Institutional research plan: CEZ:AV0Z10190503 Keywords : local Morrey-type spaces * complementary local Morrey-type spaces * associated spaces * dual spaces * multidimensional reverse Hardy inequalities Subject RIV: BA - General Mathematics Impact factor: 0.262, year: 2011 http://www.springerlink.com/content/3166vu5uht8713t3/

How Much Does Camouflage Help?

Science.gov (United States)

Brunner, Regina Baron; Brunner, Carl E.

1994-01-01

Describes an activity which connects mathematics and science by using data analysis and studies of animal camouflage. Includes a reproducible student worksheet to be used for data collection. (11 references) (MKR)

Mathematical implications of Einstein-Weyl causality

International Nuclear Information System (INIS)

Borchers, H.J.; Sen, R.N.

2006-01-01

The present work is the first systematic attempt at answering the following fundamental question: what mathematical structures does Einstein-Weyl causality impose on a point-set that has no other previous structure defined on it? The authors propose an axiomatization of Einstein-Weyl causality (inspired by physics), and investigate the topological and uniform structures that it implies. Their final result is that a causal space is densely embedded in one that is locally a differentiable manifold. The mathematical level required of the reader is that of the graduate student in mathematical physics. (orig.)

KEEFEKTIFAN PEMBELAJARAN MODEL TAPPS BERBANTUAN WORKSHEET TERHADAP KEMAMPUAN PEMECAHAN MASALAH MATERI LINGKARAN

Directory of Open Access Journals (Sweden)

Nikmatul Maula

2013-03-01

Full Text Available Tujuan penelitian ini adalah untuk mengetahui apakah pembelajaran dengan model TAPPS tuntas, apakah rata-rata kemampuan pemecahan masalah siswa pada model TAPPS lebih tinggi daripada rata-rata kemampuan pemecahan masalah siswa pada pembelajaran ekspositori, serta apakah persentase ketuntasan belajar siswa pada model TAPPS lebih tinggi daripada persentase ketuntasan belajar siswa pada pembelajaran ekspositori. Populasi dalam penelitian ini adalah siswa kelas VIII SMP N 2 Pekalongan tahun pelajaran 2012/2013. Dengan teknik cluster random sampling, terpilih sampel yaitu siswa kelas VIII-D sebagai kelas eksperimen yang diterapkan pembelajaran model TAPPS berbantuan worksheet berbasis Polya dan kelas VIII-B sebagai kelas kontrol yang diterapkan pembelajaran ekspositori. Dari hasil uji ketuntasan belajar diperoleh pembelajaran pada kelas eksperimen tuntas. Dari hasil uji perbedaan dua rata-rata, diperoleh rata-rata kemampuan pemecahan masalah siswa kelas eksperimen lebih tinggi daripada kelas kontrol. Dari hasil uji proporsi satu pihak, diperoleh persentase ketuntasan belajar siswa kelas eksperimen lebih tinggi daripada pada kelas kontrol.  Simpulan yang diperoleh yaitu pembelajaran dengan model TAPPS tuntas, rata-rata kemampuan pemecahan masalah siswa pada model TAPPS lebih tinggi daripada rata-rata kemampuan pemecahan masalah siswa pada pembelajaran ekspositori, dan persentase ketuntasan belajar siswa pada model TAPPS lebih tinggi daripada persentase ketuntasan belajar siswa pada pembelajaran ekspositori.

Mathematical Model for Direct Evaporative Space Cooling Systems ...

African Journals Online (AJOL)

This paper deals with the development of a simple mathematical model for experimental validation of the performance of a small evaporative cooling system in a tropical climate. It also presents the coefficient of convective heat transfer of wide range of temperatures based on existing model. Extensive experiments have ...

Composition operators on function spaces

CERN Document Server

Singh, RK

1993-01-01

This volume of the Mathematics Studies presents work done on composition operators during the last 25 years. Composition operators form a simple but interesting class of operators having interactions with different branches of mathematics and mathematical physics. After an introduction, the book deals with these operators on Lp-spaces. This study is useful in measurable dynamics, ergodic theory, classical mechanics and Markov process. The composition operators on functional Banach spaces (including Hardy spaces) are studied in chapter III. This chapter makes contact with the theory of analytic functions of complex variables. Chapter IV presents a study of these operators on locally convex spaces of continuous functions making contact with topological dynamics. In the last chapter of the book some applications of composition operators in isometries, ergodic theory and dynamical systems are presented. An interesting interplay of algebra, topology, and analysis is displayed. This comprehensive and up-to-date stu...

Insights into teaching mathematics

CERN Document Server

Orton, Anthony

2004-01-01

Providing essential guidance and background information about teaching mathematics, this book is intended particularly for teachers who do not regard themselves as specialists in mathematics. It deals with issues of learning and teaching, including the delivery of content and the place of problems and investigations. Difficulties which pupils encounter in connection with language and symbols form important sections of the overall discussion of how to enhance learning. The curriculum is considered in brief under the headings of number, algebra, shape and space, and data handling, and special at

Immanence or Transcendence? A Mathematical View

Directory of Open Access Journals (Sweden)

H Chris Ransford

2016-03-01

Full Text Available This paper uses the tools of mathematical analysis to try and shed light on the age-old question of whether a monotheist God would be simultaneously present everywhere in the wider Universe, or whether It would rather usually keep to privileged locations within space-time. On the narrow basis of where the mathematics leads, it reaches an unexpected but definite conclusion.

A new mathematical approach for the estimation of the AUC and its variability under different experimental designs in preclinical studies.

Science.gov (United States)

Navarro-Fontestad, Carmen; González-Álvarez, Isabel; Fernández-Teruel, Carlos; Bermejo, Marival; Casabó, Vicente Germán

2012-01-01

The aim of the present work was to develop a new mathematical method for estimating the area under the curve (AUC) and its variability that could be applied in different preclinical experimental designs and amenable to be implemented in standard calculation worksheets. In order to assess the usefulness of the new approach, different experimental scenarios were studied and the results were compared with those obtained with commonly used software: WinNonlin® and Phoenix WinNonlin®. The results do not show statistical differences among the AUC values obtained by both procedures, but the new method appears to be a better estimator of the AUC standard error, measured as the coverage of 95% confidence interval. In this way, the new proposed method demonstrates to be as useful as WinNonlin® software when it was applicable. Copyright © 2011 John Wiley & Sons, Ltd.

Mathematical analysis I

CERN Document Server

Zorich, Vladimir A

2015-01-01

VLADIMIR A. ZORICH is professor of mathematics at Moscow State University. His areas of specialization are analysis, conformal geometry, quasiconformal mappings, and mathematical aspects of thermodynamics. He solved the problem of global homeomorphism for space quasiconformal mappings. He holds a patent in the technology of mechanical engineering, and he is also known by his book Mathematical Analysis of Problems in the Natural Sciences . This second English edition of a very popular two-volume work presents a thorough first course in analysis, leading from real numbers to such advanced topics as differential forms on manifolds; asymptotic methods; Fourier, Laplace, and Legendre transforms; elliptic functions; and distributions. Especially notable in this course are the clearly expressed orientation toward the natural sciences and the informal exploration of the essence and the roots of the basic concepts and theorems of calculus. Clarity of exposition is matched by a wealth of instructive exercises, problems...

Breaking the Mathematics Phobia of Secondary School Students ...

African Journals Online (AJOL)

kofimereku

functional knowledge of the world and their mastery of school subjects. Teaching ... the use of behaviour method of teaching mathematics to alleviate the Mathematics ... space for demonstrations and self-learning activities to make an educated man. .... activities, he or she may not be able to concentrate on their studies.

Proceedings – Mathematical Sciences | Indian Academy of Sciences

Indian Academy of Sciences (India)

Home; Journals; Proceedings – Mathematical Sciences. Suprio Bhar. Articles written in Proceedings – Mathematical Sciences. Volume 125 Issue 1 February 2015 pp 113-125. Differential operators on Hermite Sobolev spaces · Suprio Bhar B Rajeev · More Details Abstract Fulltext PDF. In this paper, we compute the Hilbert ...

Marriages of mathematics and physics: A challenge for biology.

Science.gov (United States)

Islami, Arezoo; Longo, Giuseppe

2017-12-01

The human attempts to access, measure and organize physical phenomena have led to a manifold construction of mathematical and physical spaces. We will survey the evolution of geometries from Euclid to the Algebraic Geometry of the 20th century. The role of Persian/Arabic Algebra in this transition and its Western symbolic development is emphasized. In this relation, we will also discuss changes in the ontological attitudes toward mathematics and its applications. Historically, the encounter of geometric and algebraic perspectives enriched the mathematical practices and their foundations. Yet, the collapse of Euclidean certitudes, of over 2300 years, and the crisis in the mathematical analysis of the 19th century, led to the exclusion of "geometric judgments" from the foundations of Mathematics. After the success and the limits of the logico-formal analysis, it is necessary to broaden our foundational tools and re-examine the interactions with natural sciences. In particular, the way the geometric and algebraic approaches organize knowledge is analyzed as a cross-disciplinary and cross-cultural issue and will be examined in Mathematical Physics and Biology. We finally discuss how the current notions of mathematical (phase) "space" should be revisited for the purposes of life sciences. Copyright © 2017. Published by Elsevier Ltd.

Mathematical optics classical, quantum, and computational methods

CERN Document Server

Lakshminarayanan, Vasudevan

2012-01-01

Going beyond standard introductory texts, Mathematical Optics: Classical, Quantum, and Computational Methods brings together many new mathematical techniques from optical science and engineering research. Profusely illustrated, the book makes the material accessible to students and newcomers to the field. Divided into six parts, the text presents state-of-the-art mathematical methods and applications in classical optics, quantum optics, and image processing. Part I describes the use of phase space concepts to characterize optical beams and the application of dynamic programming in optical wave

Simple mathematical models of symmetry breaking. Application to particle physics

International Nuclear Information System (INIS)

Michel, L.

1976-01-01

Some mathematical facts relevant to symmetry breaking are presented. A first mathematical model deals with the smooth action of compact Lie groups on real manifolds, a second model considers linear action of any group on real or complex finite dimensional vector spaces. Application of the mathematical models to particle physics is considered. (B.R.H.)

Mathematics and the real world

Directory of Open Access Journals (Sweden)

D.F.M. Strauss

2000-03-01

Full Text Available In this article the initial discussion of the untenability of the distinction between “pure” and “applied" mathematics is followed by looking at alternative approaches regarding the relationship between mathematics and the “real world” - with intuitionism and Platonism representing the two opposite positions. The notions of infinity as well as the totality character of spatial continuity (and its implied infinite divisibility turned out to occupy a central position in this context. In the final section brief attention is given - against the background of some perspectives on the history of mathematics - to an alternative approach in which both the uniqueness and the mutual irreducibility of number and space are conjectured.

The Mathematical Morpho-Logical View on Reasoning about Space

NARCIS (Netherlands)

Aiello, Marco; Ottens, Brammert; Veloso, MM

2007-01-01

Qualitative reasoning about mereotopological relations has been extensively investigated, while more recently geometrical and spatio-temporal reasoning are gaining increasing attention. We propose to consider mathematical morphology operators as the inspiration for a new language and inference

Proceedings – Mathematical Sciences | Indian Academy of Sciences

Indian Academy of Sciences (India)

Home; Journals; Proceedings – Mathematical Sciences. INDRANIL BISWAS. Articles written in Proceedings – Mathematical Sciences. Volume 111 Issue 3 August 2001 pp 263-269. Stability of Picard Bundle Over Moduli Space of Stable Vector Bundles of Rank Two Over a Curve · Indranil Biswas Tomás L Gómez.

Proceedings – Mathematical Sciences | Indian Academy of Sciences

Indian Academy of Sciences (India)

Home; Journals; Proceedings – Mathematical Sciences. K R Parthasarathy. Articles written in Proceedings – Mathematical Sciences. Volume 113 Issue 1 February 2003 pp 3-13. A Remark on the Unitary Group of a Tensor Product of Finite-Dimensional Hilbert Spaces · K R Parthasarathy · More Details Abstract Fulltext ...

On spaces Cb(X) weakly K-analytic

Czech Academy of Sciences Publication Activity Database

Ferrando, J.C.; Kąkol, Jerzy; López-Pellicer, M.

2017-01-01

Roč. 290, č. 16 (2017), s. 2612-2618 ISSN 0025-584X R&D Projects: GA ČR GF16-34860L Institutional support: RVO:67985840 Keywords : K-analytic space * pseudocompact space * rainwater set Subject RIV: BA - General Mathematics OBOR OECD: Pure mathematics Impact factor: 0.742, year: 2016

Lighten Up: Tesla.

Science.gov (United States)

Wiebe, Ann

1994-01-01

Presents a lesson plan detailing an interdisciplinary mathematics/science activity in which students take a home survey of light bulbs and then design an energy-saving lighting system for a home. Contains reproducible student worksheets. (MKR)

Mathematical Modeling of Circadian/Performance Countermeasures

Data.gov (United States)

National Aeronautics and Space Administration — We developed and refined our current mathematical model of circadian rhythms to incorporate melatonin as a marker rhythm. We used an existing physiologically based...

Proceedings – Mathematical Sciences | Indian Academy of Sciences

Indian Academy of Sciences (India)

Home; Journals; Proceedings – Mathematical Sciences. A R Aithal. Articles written in Proceedings – Mathematical Sciences. Volume 115 Issue 1 February 2005 pp 93-102. On Two Functionals Connected to the Laplacian in a Class of Doubly Connected Domains in Space-Forms · M H C Anisa A R Aithal · More Details ...

Mathematics for quantum chemistry

CERN Document Server

Anderson, Jay Martin

2005-01-01

This concise volume offers undergraduates an introduction to mathematical formalism in problems of molecular structure and motion. The main topics cover the calculus of orthogonal functions, algebra of vector spaces, and Lagrangian and Hamiltonian formulation of classical mechanics and applications to molecular motion. Answers to problems. 1966 edition.

Tools of the trade introduction to advanced mathematics

CERN Document Server

Sally, Jr, Paul J

2008-01-01

This book provides a transition from the formula-full aspects of the beginning study of college level mathematics to the rich and creative world of more advanced topics. It is designed to assist the student in mastering the techniques of analysis and proof that are required to do mathematics. Along with the standard material such as linear algebra, construction of the real numbers via Cauchy sequences, metric spaces and complete metric spaces, there are three projects at the end of each chapter that form an integral part of the text. These projects include a detailed discussion of topics such

Mind tools the five levels of mathematical reality

CERN Document Server

Rucker, Rudy

2013-01-01

This reader-friendly volume groups the patterns of mathematics into five archetypes: numbers, space, logic, infinity, and information. Rudy Rucker presents an accessible introduction to each of these important areas, reflecting intelligence gathered from the frontiers of mathematical thought. More than 100 drawings illuminate explorations of digital versus analog processes, logic as a computing tool, communication as information transmission, and other ""mind tools.""""Mind Tools is an original and fascinating look at various aspects of mathematics that is sure to fascinate the nonmathematicia

Analysis of the coupling efficiency of a tapered space receiver with a calculus mathematical model

Science.gov (United States)

Hu, Qinggui; Mu, Yining

2018-03-01

We establish a calculus mathematical model to study the coupling characteristics of tapered optical fibers in a space communications system, and obtained the coupling efficiency equation. Then, using MATLAB software, the solution was calculated. After this, the sample was produced by the mature flame-brush technique. The experiment was then performed, and the results were in accordance with the theoretical analysis. This shows that the theoretical analysis was correct and indicates that a tapered structure could improve its tolerance with misalignment. Project supported by The National Natural Science Foundation of China (grant no. 61275080); 2017 Jilin Province Science and Technology Development Plan-Science and Technology Innovation Fund for Small and Medium Enterprises (20170308029HJ); ‘thirteen five’ science and technology research project of the Department of Education of Jilin 2016 (16JK009).

Classical and Weak Solutions for Two Models in Mathematical Finance

Science.gov (United States)

Gyulov, Tihomir B.; Valkov, Radoslav L.

2011-12-01

We study two mathematical models, arising in financial mathematics. These models are one-dimensional analogues of the famous Black-Scholes equation on finite interval. The main difficulty is the degeneration at the both ends of the space interval. First, classical solutions are studied. Positivity and convexity properties of the solutions are discussed. Variational formulation in weighted Sobolev spaces is introduced and existence and uniqueness of the weak solution is proved. Maximum principle for weak solution is discussed.

Chern-Simons terms and cocycles in physics and mathematics

Energy Technology Data Exchange (ETDEWEB)

Jackiw, R.

1984-12-01

Contemporary topological research in Yang-Mills theory is reviewed, emphasizing the Chern-Simons terms and their relatives. Three applications of the Chern-Simons terms in physical theory are described: to help understanding gauge theories in even dimensional space-time; gauge field dynamics in odd dimensional space-time; and mathematically coherent description of even-dimensional gauge theories with chiral fermions that are apparently inconsistent due to chiral anomalies. Discussion of these applications is preceded by explanation of the mathematical preliminaries and examples in simple quantum mechanical settings. 24 refs. (LEW)

Ancestral Genres of Mathematical Graphs

Science.gov (United States)

Gerofsky, Susan

2011-01-01

Drawing from sources in gesture studies, cognitive science, the anthropology of religion and art/architecture history, this article explores cultural, bodily and cosmological resonances carried (unintentionally) by mathematical graphs on Cartesian coordinates. Concepts of asymmetric bodily spaces, grids, orthogonality, mapping and sacred spaces…

Strange Curves, Counting Rabbits, & Other Mathematical Explorations

CERN Document Server

Ball, Keith

2011-01-01

How does mathematics enable us to send pictures from space back to Earth? Where does the bell-shaped curve come from? Why do you need only 23 people in a room for a 50/50 chance of two of them sharing the same birthday? In Strange Curves, Counting Rabbits, and Other Mathematical Explorations, Keith Ball highlights how ideas, mostly from pure math, can answer these questions and many more. Drawing on areas of mathematics from probability theory, number theory, and geometry, he explores a wide range of concepts, some more light-hearted, others central to the development of the field and used dai

A course in mathematical analysis

CERN Document Server

Garling, D J H

The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in the first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and instructors. Volume 1 focuses on the analysis of real-valued functions of a real variable. Volume 2 goes on to consider metric and topological spaces. This third volume develops the classical theory of functions of a complex variable. It carefully establishes the properties of the complex plane, including a proof of the Jordan curve theorem. Lebesgue measure is introduced, and is used as a model for other measure spaces, where the theory of integration is developed. The RadonÐNikodym theorem is proved, and the differentiation of measures discussed.

Sobolev spaces

CERN Document Server

Adams, Robert A

2003-01-01

Sobolev Spaces presents an introduction to the theory of Sobolev Spaces and other related spaces of function, also to the imbedding characteristics of these spaces. This theory is widely used in pure and Applied Mathematics and in the Physical Sciences.This second edition of Adam''s ''classic'' reference text contains many additions and much modernizing and refining of material. The basic premise of the book remains unchanged: Sobolev Spaces is intended to provide a solid foundation in these spaces for graduate students and researchers alike.* Self-contained and accessible for readers in other disciplines.* Written at elementary level making it accessible to graduate students.

Newton's Metaphysics of Space as God's Emanative Effect

Science.gov (United States)

Jacquette, Dale

2014-09-01

In several of his writings, Isaac Newton proposed that physical space is God's "emanative effect" or "sensorium," revealing something interesting about the metaphysics underlying his mathematical physics. Newton's conjectures depart from Plato and Aristotle's metaphysics of space and from classical and Cambridge Neoplatonism. Present-day philosophical concepts of supervenience clarify Newton's ideas about space and offer a portrait of Newton not only as a mathematical physicist but an independent-minded rationalist philosopher.

Rich families and projectional skeletons in Asplund WCG spaces

Czech Academy of Sciences Publication Activity Database

Cúth, M.; Fabian, Marián

2017-01-01

Roč. 448, č. 2 (2017), s. 1618-1632 ISSN 0022-247X R&D Projects: GA ČR(CZ) GAP201/12/0290 Institutional support: RVO:67985840 Keywords : Asplund space * weakly compactly generated space * weakly Lindelöf determined space Subject RIV: BA - General Mathematics OBOR OECD: Pure mathematics Impact factor: 1.064, year: 2016 http://www.sciencedirect.com/science/article/pii/S0022247X16307715

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

Topological vector spaces and distributions

CERN Document Server

Horvath, John

2012-01-01

""The most readable introduction to the theory of vector spaces available in English and possibly any other language.""-J. L. B. Cooper, MathSciNet ReviewMathematically rigorous but user-friendly, this classic treatise discusses major modern contributions to the field of topological vector spaces. The self-contained treatment includes complete proofs for all necessary results from algebra and topology. Suitable for undergraduate mathematics majors with a background in advanced calculus, this volume will also assist professional mathematicians, physicists, and engineers.The precise exposition o

Game-theoretic characterization of the Gurarii space

Czech Academy of Sciences Publication Activity Database

Kubiś, Wieslaw

2018-01-01

Roč. 110, č. 1 (2018), s. 53-59 ISSN 0003-889X R&D Projects: GA ČR(CZ) GA17-27844S Institutional support: RVO:67985840 Keywords : normed space * Banach–Mazur game * Gurarii space Subject RIV: BA - General Mathematics OBOR OECD: Pure mathematics Impact factor: 0.591, year: 2016 https://link.springer.com/article/10.1007%2Fs00013-017-1088-2

Game-theoretic characterization of the Gurarii space

Czech Academy of Sciences Publication Activity Database

Kubiś, Wieslaw

2018-01-01

Roč. 110, č. 1 (2018), s. 53-59 ISSN 0003-889X R&D Projects: GA ČR(CZ) GA17-27844S Institutional support: RVO:67985840 Keywords : normed space * Banach–Mazur game * Gurarii space Subject RIV: BA - General Mathematics OBOR OECD: Pure mathematics Impact factor: 0.591, year: 2016 https://link.springer.com/ article /10.1007%2Fs00013-017-1088-2

Mathematical Approaches to Cognitive Linguistics

Directory of Open Access Journals (Sweden)

Chuluundorj Begz

2013-05-01

Full Text Available Cognitive linguistics, neuro-cognitive and psychological analysis of human verbal cognition present important area of multidisciplinary research. Mathematical methods and models have been introduced in number of publications with increasing attention to these theories. In this paper we have described some possible applications of mathematical methods to cognitive linguistics. Human verbal perception and verbal mapping deal with dissipative mental structures and symmetric/asymmetric relationships between objects of perception and deep (also surface structures of language. In that’s way methods of tensor analysis are ambitious candidate to be applied to analysis of human verbal thinking and mental space.

Foundations of symmetric spaces of measurable functions Lorentz, Marcinkiewicz and Orlicz spaces

CERN Document Server

Rubshtein, Ben-Zion A; Muratov, Mustafa A; Pashkova, Yulia S

2016-01-01

Key definitions and results in symmetric spaces, particularly Lp, Lorentz, Marcinkiewicz and Orlicz spaces are emphasized in this textbook. A comprehensive overview of the Lorentz, Marcinkiewicz and Orlicz spaces is presented based on concepts and results of symmetric spaces. Scientists and researchers will find the application of linear operators, ergodic theory, harmonic analysis and mathematical physics noteworthy and useful. This book is intended for graduate students and researchers in mathematics and may be used as a general reference for the theory of functions, measure theory, and functional analysis. This self-contained text is presented in four parts totaling seventeen chapters to correspond with a one-semester lecture course. Each of the four parts begins with an overview and is subsequently divided into chapters, each of which concludes with exercises and notes. A chapter called “Complements” is included at the end of the text as supplementary material to assist students with independent work.

Philosophy and foundations of mathematics L. E. J. Brouwer

CERN Document Server

Heyting, A

1974-01-01

L.E.J. Brouwer: Collected Works, Volume 1: Philosophy and Foundations of Mathematics focuses on the principles, operations, and approaches promoted by Brouwer in studying the philosophy and foundations of mathematics. The publication first ponders on the construction of mathematics. Topics include arithmetic of integers, negative numbers, measurable continuum, irrational numbers, Cartesian geometry, similarity group, characterization of the linear system of the Cartesian or Euclidean and hyperbolic space, and non-Archimedean uniform groups on the one-dimensional continuum. The book then examin

A mathematical tapestry demonstrating the beautiful unity of mathematics

CERN Document Server

Hilton, Peter; Donmoyer, Sylvie

2010-01-01

This easy-to-read 2010 book demonstrates how a simple geometric idea reveals fascinating connections and results in number theory, the mathematics of polyhedra, combinatorial geometry, and group theory. Using a systematic paper-folding procedure it is possible to construct a regular polygon with any number of sides. This remarkable algorithm has led to interesting proofs of certain results in number theory, has been used to answer combinatorial questions involving partitions of space, and has enabled the authors to obtain the formula for the volume of a regular tetrahedron in around three steps, using nothing more complicated than basic arithmetic and the most elementary plane geometry. All of these ideas, and more, reveal the beauty of mathematics and the interconnectedness of its various branches. Detailed instructions, including clear illustrations, enable the reader to gain hands-on experience constructing these models and to discover for themselves the patterns and relationships they unearth.

Mathematical models and methods for planet Earth

CERN Document Server

Locatelli, Ugo; Ruggeri, Tommaso; Strickland, Elisabetta

2014-01-01

In 2013 several scientific activities have been devoted to mathematical researches for the study of planet Earth. The current volume presents a selection of the highly topical issues presented at the workshop “Mathematical Models and Methods for Planet Earth”, held in Roma (Italy), in May 2013. The fields of interest span from impacts of dangerous asteroids to the safeguard from space debris, from climatic changes to monitoring geological events, from the study of tumor growth to sociological problems. In all these fields the mathematical studies play a relevant role as a tool for the analysis of specific topics and as an ingredient of multidisciplinary problems. To investigate these problems we will see many different mathematical tools at work: just to mention some, stochastic processes, PDE, normal forms, chaos theory.

CircleBoard-Pro: Concrete manipulative-based learning cycle unit for learning geometry

Science.gov (United States)

Jamhari, Wongkia, Wararat

2018-01-01

Currently, a manipulative is commonly used in mathematics education as a supported tool for teaching and learning. With engaging natural interaction of a concrete manipulative and advantages of a learning cycle approach, we proposed the concrete manipulative-based learning cycle unit to promote mathematics learning. Our main objectives are to observe possibilities on the use of a concrete manipulative in learning geometry, and to assess students' understanding of a specific topic, angle properties in a circle, of secondary level students. To meet the first objective, the concrete manipulative, called CricleBoard-Pro, was designed. CircleBoard-Pro is built for easy to writing on or deleting from, accurate angle measurement, and flexible movement. Besides, learning activities and worksheets were created for helping students to learn angle properties in a circle. Twenty eighth graders on a lower secondary school in Indonesia were voluntarily involved to learn mathematics using CircleBoard-Pro with the designed learning activities and worksheets. We informally observed students' performance by focusing on criteria of using manipulative tools in learning mathematics while the learning activities were also observed in terms of whether they work and which step of activities need to be improved. The results of this part showed that CircleBoard-Pro complied the criteria of the use of the manipulative in learning mathematics. Nevertheless, parts of learning activities and worksheets need to be improved. Based on the results of the observation, CircleBoard-Pro, learning activities, and worksheets were merged together and became the CircleBoardPro embedded on 5E (Engage - Explore - Explain - Elaborate - Evaluate) learning cycle unit. Then, students understanding were assessed to reach the second objective. Six ninth graders from an Indonesian school in Thailand were recruited to participate in this study. Conceptual tests for both pre-and post-test, and semi

Mathematical foundations of the projection-operator method

International Nuclear Information System (INIS)

Moore, S.M.

1979-01-01

Mathematical foundations are determined for the projection-operator method developed by Zwanzig and Mori and used in the study of cooperative phenomena in non-equilibrium processes. It is shown that the Hilbert space of operators can be taken as the Hilbert-Schmidt class. Comments are made on the possibility of a complete formulation of quantum mechanics in terms of this Hilbert space. (author)

Predictive Attitude Maintenance For A Space Station

Science.gov (United States)

Hattis, Philip D.

1989-01-01

Paper provides mathematical basis for predictive management of angular momenta of control-moment gyroscopes (CMG's) to control attitude of orbiting space station. Numerical results presented for pitch control of proposed power-tower space station. Based on prior orbit history and mathematical model of density of atmosphere, predictions made of requirements on dumping and storage of angular momentum in relation to current loading state of CMG's and to acceptable attitude tolerances.

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…

Comparison of Intelligent Systems in Detecting a Child's Mathematical Gift

Science.gov (United States)

Pavlekovic, Margita; Zekic-Susac, Marijana; Djurdjevic, Ivana

2009-01-01

This paper compares the efficiency of two intelligent methods: expert systems and neural networks, in detecting children's mathematical gift at the fourth grade of elementary school. The input space for the expert system and the neural network model consisted of 60 variables describing five basic components of a child's mathematical gift…

Isometries on Banach spaces function spaces

CERN Document Server

Fleming, Richard J

2002-01-01

Fundamental to the study of any mathematical structure is an understanding of its symmetries. In the class of Banach spaces, this leads naturally to a study of isometries-the linear transformations that preserve distances. In his foundational treatise, Banach showed that every linear isometry on the space of continuous functions on a compact metric space must transform a continuous function x into a continuous function y satisfying y(t) = h(t)x(p(t)), where p is a homeomorphism and |h| is identically one.Isometries on Banach Spaces: Function Spaces is the first of two planned volumes that survey investigations of Banach-space isometries. This volume emphasizes the characterization of isometries and focuses on establishing the type of explicit, canonical form given above in a variety of settings. After an introductory discussion of isometries in general, four chapters are devoted to describing the isometries on classical function spaces. The final chapter explores isometries on Banach algebras.This treatment p...

Linear Mapping of Numbers onto Space Requires Attention

Science.gov (United States)

Anobile, Giovanni; Cicchini, Guido Marco; Burr, David C.

2012-01-01

Mapping of number onto space is fundamental to mathematics and measurement. Previous research suggests that while typical adults with mathematical schooling map numbers veridically onto a linear scale, pre-school children and adults without formal mathematics training, as well as individuals with dyscalculia, show strong compressive,…

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

Characterization of associate spaces of weighted Lorentz spaces with applications

Czech Academy of Sciences Publication Activity Database

Gogatishvili, Amiran; Pick, L.; Soudský, F.

2014-01-01

Roč. 224, č. 1 (2014), s. 1-23 ISSN 0039-3223 R&D Projects: GA ČR GA13-14743S Institutional support: RVO:67985840 Keywords : weighted Lorentz spaces * weighted inequalities * non-increasing rearragement * Banach function space Subject RIV: BA - General Mathematics Impact factor: 0.610, year: 2014 http://journals.impan.gov.pl/sm/Inf/224-1-1.html

Efimov spaces and the separable quotient problem for spaces C-P(K)

Czech Academy of Sciences Publication Activity Database

Kąkol, Jerzy; Śliwa, W.

2018-01-01

Roč. 457, č. 1 (2018), s. 104-113 ISSN 0022-247X R&D Projects: GA ČR GF16-34860L Institutional support: RVO:67985840 Keywords : spaces of continuous functions * pointwise topology * separable quotient problem Subject RIV: BA - General Mathematics OBOR OECD: Pure mathematics Impact factor: 1.064, year: 2016 http://www. science direct.com/ science /article/pii/S0022247X17307588?via%3Dihub

Efimov spaces and the separable quotient problem for spaces C-P(K)

Czech Academy of Sciences Publication Activity Database

Kąkol, Jerzy; Śliwa, W.

2018-01-01

Roč. 457, č. 1 (2018), s. 104-113 ISSN 0022-247X R&D Projects: GA ČR GF16-34860L Institutional support: RVO:67985840 Keywords : spaces of continuous functions * pointwise topology * separable quotient problem Subject RIV: BA - General Mathematics OBOR OECD: Pure mathematics Impact factor: 1.064, year: 2016 http://www.sciencedirect.com/science/article/pii/S0022247X17307588?via%3Dihub

Proceedings – Mathematical Sciences | Indian Academy of Sciences

Indian Academy of Sciences (India)

Home; Journals; Proceedings – Mathematical Sciences; Volume 117; Issue 3. Issue front cover thumbnail. Volume 117, Issue 3. August 2007, pages 287-427. pp 287-292. On the Cohomology of Orbit Space of Free Z Z p -Actions on Lens Spaces · Hemant Kumar Singh Tej Bahadur Singh · More Details Abstract Fulltext PDF.

Characterizations of Besov and Triebel–Lizorkin spaces on metric measure spaces

Czech Academy of Sciences Publication Activity Database

Gogatishvili, Amiran; Koskela, P.; Zhou, Y.

2013-01-01

Roč. 25, č. 4 (2013), s. 787-819 ISSN 0933-7741 R&D Projects: GA ČR GA201/08/0383 Institutional research plan: CEZ:AV0Z10190503 Keywords : Besov space * Triebel-Lizorkin space * Hajłasz-Besov space Subject RIV: BA - General Mathematics Impact factor: 0.733, year: 2013 http://www.degruyter.com/view/j/form.2013.25.issue-4/form.2011.135/form.2011.135. xml ?format=INT

Characterizations of Besov and Triebel–Lizorkin spaces on metric measure spaces

Czech Academy of Sciences Publication Activity Database

Gogatishvili, Amiran; Koskela, P.; Zhou, Y.

2013-01-01

Roč. 25, č. 4 (2013), s. 787-819 ISSN 0933-7741 R&D Projects: GA ČR GA201/08/0383 Institutional research plan: CEZ:AV0Z10190503 Keywords : Besov space * Triebel-Lizorkin space * Hajłasz-Besov space Subject RIV: BA - General Mathematics Impact factor: 0.733, year: 2013 http://www.degruyter.com/view/j/form.2013.25.issue-4/form.2011.135/form.2011.135.xml?format=INT

Research in progress in applied mathematics, numerical analysis, and computer science

Science.gov (United States)

1990-01-01

Research conducted at the Institute in Science and Engineering in applied mathematics, numerical analysis, and computer science is summarized. The Institute conducts unclassified basic research in applied mathematics in order to extend and improve problem solving capabilities in science and engineering, particularly in aeronautics and space.

Some remarks on the structure of Lipschitz-free spaces

Czech Academy of Sciences Publication Activity Database

Hájek, Petr Pavel; Novotný, M.

2017-01-01

Roč. 24, č. 2 (2017), s. 283-304 ISSN 1370-1444 R&D Projects: GA ČR GA16-07378S Institutional support: RVO:67985840 Keywords : free Banach space s * compact metric- space s * approximation properties Subject RIV: BA - General Mathematics OBOR OECD: Pure mathematics Impact factor: 0.375, year: 2016 https://projecteuclid.org/euclid.bbms/1503453711

$L$-Topological Spaces

Directory of Open Access Journals (Sweden)

Ali Bajravani

2018-04-01

Full Text Available ‎By substituting the usual notion of open sets in a topological space $X$ with a suitable collection of maps from $X$ to a frame $L$, we introduce the notion of L-topological spaces. Then, we proceed to study the classical notions and properties of usual topological spaces to the newly defined mathematical notion. Our emphasis would be concentrated on the well understood classical connectedness, quotient and compactness notions, where we prove the Thychonoff's theorem and connectedness property for ultra product of $L$-compact and $L$-connected topological spaces, respectively.

Mathematical Model of (R,Q Inventory Policy under Limited Storage Space for Continuous and Periodic Review Policies with Backlog and Lost Sales

Directory of Open Access Journals (Sweden)

Kanokwan Singha

2017-01-01

Full Text Available This paper involves developing new mathematical expressions to find reorder point and order quantity for inventory management policies that explicitly consider storage space capacity. Both continuous and periodic reviews, as well as backlogged and lost demand during stockout, are considered. With storage space capacity, when on-hand inventory exceeds the capacity, the over-ordering cost of storage at an external warehouse is charged on a per-unit-period basis. The objective is to minimize the total cost, consisting of ordering, shortage, holding, and over-ordering costs. Demand and lead time are stochastic and discrete in nature. Demand during varying lead time is modeled using an empirical distribution so that the findings are not subject to assumptions of demand and lead time probability distributions. Due to the complexity of the developed mathematical expressions, the problems are solved using an iterative method. The method is tested with problem instances that use real data from industry. Optimal solutions of the problem instance are determined by performing exhaustive search. The proposed method can effectively find optimal solutions for continuous review policies and near optimal solutions for periodic review policies. Fundamental insights about the inventory policies are reported from a comparison between continuous review and periodic review solutions, as well as a comparison between backlog and lost sales cases.

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

Science.gov (United States)

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.

Quantum theory in complex Hilbert space

International Nuclear Information System (INIS)

Sharma, C.S.

1988-01-01

The theory of complexification of a real Hilbert space as developed by the author is scrutinized with the aim of explaining why quantum theory should be done in a complex Hilbert space in preference to real Hilbert space. It is suggested that, in order to describe periodic motions in stationary states of a quantum system, the mathematical object modelling a state of a system should have enough points in it to be able to describe explicit time dependence of a periodic motion without affecting the probability distributions of observables. Heuristic evidence for such an assumption comes from Dirac's theory of interaction between radiation and matter. If the assumption is adopted as a requirement on the mathematical model for a quantum system, then a real Hilbert space is ruled out in favour of a complex Hilbert space for a possible model for such a system

Nonseparable closed vector subspaces of separable topological vector spaces

Czech Academy of Sciences Publication Activity Database

Kąkol, Jerzy; Leiderman, A. G.; Morris, S. A.

2017-01-01

Roč. 182, č. 1 (2017), s. 39-47 ISSN 0026-9255 R&D Projects: GA ČR GF16-34860L Institutional support: RVO:67985840 Keywords : locally convex topological vector space * separable topological space Subject RIV: BA - General Mathematics OBOR OECD: Pure mathematics Impact factor: 0.716, year: 2016 https://link.springer.com/article/10.1007%2Fs00605-016-0876-2

Enriching Addition and Subtraction Fact Mastery through Games

Science.gov (United States)

Bay-Williams, Jennifer M.; Kling, Gina

2014-01-01

The learning of "basic facts"--single-digit combinations for addition, subtraction, multiplication, and division--has long been a focus of elementary school mathematics. Many people remember completing endless worksheets, timed tests, and flash card drills as they attempted to "master" their basic facts as children. However,…

Data Nuggets: Bringing Real Data into the Classroom to Unearth Students' Quantitative & Inquiry Skills

Science.gov (United States)

Schultheis, Elizabeth H.; Kjelvik, Melissa K.

2015-01-01

Current educational reform calls for increased integration between science and mathematics to overcome the shortcomings in students' quantitative skills. Data Nuggets (free online resource, http://datanuggets.org) are worksheets that bring data into the classroom, repeatedly guiding students through the scientific method and making claims…

Tales of evaluation in school mathematics

DEFF Research Database (Denmark)

Andrade-Molina, Melissa

2017-01-01

This is the tale of the power effects of evaluation in the shaping of the desired child. It maps, by using historical and cultural strategies, the circulating truths about standardized assessments, about the need for learning mathematics, and about the axiomatization of space. The analysis takes ...

Introduction to Banach spaces and algebras

CERN Document Server

Allan, Graham

2010-01-01

Banach spaces and algebras are a key topic of pure mathematics. Graham Allan's careful and detailed introductory account will prove essential reading for anyone wishing to specialise in functional analysis and is aimed at final year undergraduates or masters level students. Based on the author's lectures to fourth year students at Cambridge University, the book assumes knowledge typical of first degrees in mathematics, including metric spaces, analytic topology, and complexanalysis. However, readers are not expected to be familiar with the Lebesgue theory of measure and integration.The text be

How to be Brilliant at Numbers

CERN Document Server

Webber, Beryl

2010-01-01

How to be Brilliant at Numbers will help students to develop an understanding of numbers, place value, fractions and decimals. They will develop the language of number, and of the relationships between numbers. They will also use mathematics to solve problems and will develop mathematical reasoning. Using the worksheets in this book, pupils will learn about: ancient Greek numbers; coins; digits; consecutive numbers; magic ladders; fractions; matching pairs; multiples of 10; rounding; decimal un

Mathematics education, democracy and development: Exploring connections

Directory of Open Access Journals (Sweden)

Renuka Vithal

2012-12-01

Full Text Available Mathematics education and its links to democracy and development are explored in this article, with specific reference to the case of South Africa. This is done by engaging four key questions. Firstly, the question of whether mathematics education can be a preparation for democracy and include a concern for development, is discussed by drawing on conceptual tools of critical mathematics education and allied areas in a development context. Secondly, the question of how mathematics education is distributed in society and participates in shaping educational possibilities in addressing its development needs and goals is used to examine the issues emerging from mathematics performance in international studies and the national Grade 12 examination; the latter is explored specifically in respect of the South African mathematics curriculum reforms and teacher education challenges. Thirdly, the question of whether a mathematics classroom can be a space for democratic living and learning that equally recognises the importance of issues of development in contexts like South Africa, as a post-conflict society still healing from its apartheid wounds, continuing inequality and poverty, is explored through pedagogies of conflict, dialogue and forgiveness. Finally the question of whether democracy and development can have anything to do with mathematics content matters, is discussed by appropriating, as a metaphor, South Africa’s Truth and Reconciliation Commission’s framework of multiple ‘truths’, to seek links within and across the various forms and movements in mathematics and mathematics education that have emerged in the past few decades.

Mathematical Modelling of Unmanned Aerial Vehicles

Directory of Open Access Journals (Sweden)

Saeed Sarwar

2013-04-01

Full Text Available UAVs (Unmanned Arial Vehicleis UAVs are emerging as requirement of time and it is expected that in next five to ten years, complete air space will be flooded with UAVs, committed in varied assignments ranging from military, scientific and commercial usage. Non availability of human pilot inside UAV necessitates the requirement of an onboard autopilot in order to maintain desired flight profile against any unexpected disturbance and/or parameter variations. Design of such an autopilot requires an accurate mathematical model of UAV. The aim of this paper is to present a consolidated picture of UAV model. This paper first consolidates complete 6 DOF Degree of Freedom equations of motion into a nonlinear mathematical model and its simulation using model parameters of a real UAV. Model is then linearized into longitudinal and lateral modes. State space models of linearized modes are simulated and analyzed for stability parameters. The developed model can be used to design autopilot for UAV

Mathematical modelling of unmanned aerial vehicles

International Nuclear Information System (INIS)

Sarwar, S.; Rehman, S.U.

2013-01-01

UAVs (Unmanned Aerial Vehicles) UAVs are emerging as requirement of time and it is expected that in next five to ten years, complete air space will be flooded with UAVs, committed in varied assignments ranging from military, scientific and commercial usage. Non availability of human pilot inside UAV necessitates the requirement of an onboard auto pilot in order to maintain desired flight profile against any unexpected disturbance and/or parameter variations. Design of such an auto pilot requires an accurate mathematical model of UAV. The aim of this paper is to present a consolidated picture of UAV model. This paper first consolidates complete 6 DOF Degree of Freedom) equations of motion into a nonlinear mathematical model and its simulation using model parameters of a real UAV. Model is then linearized into longitudinal and lateral modes. State space models of linearized modes are simulated and analyzed for stability parameters. The developed model can be used to design auto pilot for UAV. (author)

Optimality of embeddings of Bessel-potential-type spaces into generalized Hölder spaces

Czech Academy of Sciences Publication Activity Database

Gogatishvili, Amiran; Neves, J. S.; Opic, Bohumír

2005-01-01

Roč. 49, č. 2 (2005), s. 297-327 ISSN 0214-1493 R&D Projects: GA ČR(CZ) GA201/01/0333 Institutional research plan: CEZ:AV0Z10190503 Keywords : slowly varying functions * Lorentz-Karamata spaces * (fractional) Sobolev-type spaces Subject RIV: BA - General Mathematics Impact factor: 0.659, year: 2005

Hilbert, Fock and Cantorian spaces in the quantum two-slit gedanken experiment

International Nuclear Information System (INIS)

El Naschie, M.S.

2006-01-01

On the one hand, a rigorous mathematical formulation of quantum mechanics requires the introduction of a Hilbert space and as we move to the second quantization, a Fock space. On the other hand, the Cantorian E-infinity approach to quantum physics was developed largely without any direct reference to the afore mentioned mathematical spaces. In the present work we utilize some novel reinterpretations of basic E (∞) Cantorian spacetime relations in terms of the Hilbert space of quantum mechanics. Proceeding in this way, we gain a better understanding of the physico-mathematical structure of quantum spacetime which is at the heart of the paradoxical and non-intuitive outcome of the famous quantum two-slit gedanken experiment

On non-archimedean Gurarii spaces

Czech Academy of Sciences Publication Activity Database

Kąkol, Jerzy; Kubiś, Wieslaw; Kubzdela, A.

2017-01-01

Roč. 450, č. 2 (2017), s. 969-981 ISSN 0022-247X R&D Projects: GA ČR GF16-34860L Institutional support: RVO:67985840 Keywords : isometric embedding * non-Archimedean Banach spaces * universal disposition Subject RIV: BA - General Mathematics OBOR OECD: Pure mathematics Impact factor: 1.064, year: 2016 http://www.sciencedirect.com/science/article/pii/S0022247X17301051

SWIFF: Space weather integrated forecasting framework

Directory of Open Access Journals (Sweden)

Frederiksen Jacob Trier

2013-02-01

Full Text Available SWIFF is a project funded by the Seventh Framework Programme of the European Commission to study the mathematical-physics models that form the basis for space weather forecasting. The phenomena of space weather span a tremendous scale of densities and temperature with scales ranging 10 orders of magnitude in space and time. Additionally even in local regions there are concurrent processes developing at the electron, ion and global scales strongly interacting with each other. The fundamental challenge in modelling space weather is the need to address multiple physics and multiple scales. Here we present our approach to take existing expertise in fluid and kinetic models to produce an integrated mathematical approach and software infrastructure that allows fluid and kinetic processes to be modelled together. SWIFF aims also at using this new infrastructure to model specific coupled processes at the Solar Corona, in the interplanetary space and in the interaction at the Earth magnetosphere.

Characterization of associate spaces of generalized weighted weak-Lorentz spaces and embeddings

Czech Academy of Sciences Publication Activity Database

Gogatishvili, Amiran; Aykol, C.; Guliyev, V.S.

2015-01-01

Roč. 228, č. 3 (2015), s. 223-233 ISSN 0039-3223 R&D Projects: GA ČR GA13-14743S Institutional support: RVO:67985840 Keywords : generalized weighted weak-Lorentz spaces * reverse Hardy inequalities * associate spaces * embeddings Subject RIV: BA - General Mathematics Impact factor: 0.623, year: 2015 http://journals.impan.gov.pl/sm/Inf/228-3-2.html

The Role and relevance of mathematics in the maritime industry ...

African Journals Online (AJOL)

Maritime activities occupy more than three-quarters of the world space and provide a huge occupational industry for mankind. Of late, ship construction and usage including space management onboard the vessels and the ports have brought about a great dependency on mathematical principles or models such as time ...

Embeddings relations between weighted complementary Local Morrey-type spaces and weighted local Morrey-type spaces

Czech Academy of Sciences Publication Activity Database

Gogatishvili, Amiran; Mustafayev, R.Ch.; Ünver, T.

2017-01-01

Roč. 8, č. 1 (2017), s. 34-49 ISSN 2077-9879 R&D Projects: GA ČR GA13-14743S Institutional support: RVO:67985840 Keywords : local Morrey-type spaces * embeddings * iterated Hardy inequalities Subject RIV: BA - General Mathematics OBOR OECD: Pure mathematics http://www.mathnet.ru/ php /archive.phtml?wshow=paper&jrnid=emj&paperid=246&option_lang=rus

Embeddings relations between weighted complementary Local Morrey-type spaces and weighted local Morrey-type spaces

Czech Academy of Sciences Publication Activity Database

Gogatishvili, Amiran; Mustafayev, R.Ch.; Ünver, T.

2017-01-01

Roč. 8, č. 1 (2017), s. 34-49 ISSN 2077-9879 R&D Projects: GA ČR GA13-14743S Institutional support: RVO:67985840 Keywords : local Morrey-type spaces * embeddings * iterated Hardy inequalities Subject RIV: BA - General Mathematics OBOR OECD: Pure mathematics http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=emj&paperid=246&option_lang=rus

Foundation and Mathematical Uses of Higher Types

DEFF Research Database (Denmark)

Kohlenbach, Ulrich

2002-01-01

This paper addresses `1),' to which S. Feferman has contributed so profoundly. We study mathematical strong, but nevertheless PRA-reducible, systems in all finite types, emphasizing the need of third order variables already for a faithful formalization of continuous functions between Polish spaces...

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...

The Lottery Is a Mathematics Powerball

Science.gov (United States)

Lim, Vivian; Rubel, Laurie; Shookhoff, Lauren; Sullivan, Mathew; Williams, Sarah

2016-01-01

The lottery has rich potential for mathematical explorations. It serves as a real-world context to explore concepts of permutations, combinations, sample space, and probability in terms of making sense of the lottery games. The lottery offers additional possibilities in terms of scaling, data analysis, and spatial analysis. Finally, by readily…

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.

New characterization of Morrey spaces

Czech Academy of Sciences Publication Activity Database

Gogatishvili, Amiran; Mustafayev, R.Ch.

2013-01-01

Roč. 4, č. 1 (2013), s. 54-64 ISSN 2077-9879 R&D Projects: GA ČR GA201/08/0383; GA ČR GA13-14743S Institutional support: RVO:67985840 Keywords : local Morrey-type spaces * complementary local Morrey-type spaces * associate spaces Subject RIV: BA - General Mathematics http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=emj&paperid=114&option_lang=eng

Mathematics education and language: interpreting hermeneutics and post-structuralism

National Research Council Canada - National Science Library

Brown, Tony, Ph. D

1997-01-01

... 79 81 84 86 Vvi CONTENTS PART TWO. THE CLASSROOM ENVIRONMENT 99 CHAPTER 4. SOME LESSONS 103 CHAPTER5. THE PHENOMENOLOGY OF THE MATHEMATICS CLASSROOM 132 Personal Space Appresentational Associati...

A separable Fréchet space of almost universal disposition

Czech Academy of Sciences Publication Activity Database

Bargetz, Ch.; Kąkol, Jerzy; Kubiś, Wieslaw

2017-01-01

Roč. 272, č. 5 (2017), s. 1876-1891 ISSN 0022-1236 R&D Projects: GA ČR GF16-34860L Institutional support: RVO:67985840 Keywords : graded Fréchet space * the Gurarii space * universality Subject RIV: BA - General Mathematics OBOR OECD: Pure mathematics Impact factor: 1.254, year: 2016 http://www.sciencedirect.com/science/article/pii/S0022123616302981

Elements of Hilbert spaces and operator theory

CERN Document Server

Vasudeva, Harkrishan Lal

2017-01-01

The book presents an introduction to the geometry of Hilbert spaces and operator theory, targeting graduate and senior undergraduate students of mathematics. Major topics discussed in the book are inner product spaces, linear operators, spectral theory and special classes of operators, and Banach spaces. On vector spaces, the structure of inner product is imposed. After discussing geometry of Hilbert spaces, its applications to diverse branches of mathematics have been studied. Along the way are introduced orthogonal polynomials and their use in Fourier series and approximations. Spectrum of an operator is the key to the understanding of the operator. Properties of the spectrum of different classes of operators, such as normal operators, self-adjoint operators, unitaries, isometries and compact operators have been discussed. A large number of examples of operators, along with their spectrum and its splitting into point spectrum, continuous spectrum, residual spectrum, approximate point spectrum and compressio...

A mathematical primer on quantum mechanics

CERN Document Server

Teta, Alessandro

2018-01-01

This book offers a rigorous yet elementary approach to quantum mechanics that will meet the needs of Master’s-level Mathematics students and is equally suitable for Physics students who are interested in gaining a deeper understanding of the mathematical structure of the theory. Throughout the coverage, which is limited to single-particle quantum mechanics, the focus is on formulating theory and developing applications in a mathematically precise manner. Following a review of selected key concepts in classical physics and the historical background, the basic elements of the theory of operators in Hilbert spaces are presented and used to formulate the rules of quantum mechanics. The discussion then turns to free particles, harmonic oscillators, delta potential, and hydrogen atoms, providing rigorous proofs of the corresponding dynamical properties. Starting from an analysis of these applications, readers are subsequently introduced to more advanced topics such as the classical limit, scattering theory, and s...

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…

Cultural horizons for mathematics

Science.gov (United States)

Owens, Kay; Paraides, Patricia; Jannok Nutti, Ylva; Johansson, Gunilla; Bennet, Maria; Doolan, Pat; Peckham, Ray; Hill, John; Doolan, Frank; O'Sullivan, Dominic; Murray, Libbey; Logan, Patricia; McNair, Melissa; Sunnari, Vappu; Murray, Beatrice; Miller, Alissa; Nolan, John; Simpson, Alca; Ohrin, Christine; Doolan, Terry; Doolan, Michelle; Taylor, Paul

2011-06-01

As a result of a number of government reports, there have been numerous systemic changes in Indigenous education in Australia revolving around the importance of partnerships with the community. A forum with our local Dubbo community established the importance of working together and developed a model which placed the child in an ecological perspective that particularly noted the role of Elders and the place of the child in the family. However, there was also the issue of curriculum and mathematics education to be addressed. It was recognised that a colonised curriculum reduces the vision of what might be the potential for Indigenous mathematics education. This paper reports on the sharing that developed between our local community and some researchers and teachers from Sweden, Papua New Guinea and New Zealand. It has implications for recognising the impact of testing regimes, the teaching space, understanding the ways children learn, the curriculum, and teacher education. As a result of these discussions, a critical pedagogy that considers culture and place is presented as an ecocultural perspective on mathematics education. This perspective was seen as critical for the curriculum and learning experiences of Indigenous children.

Modern methods in topological vector spaces

CERN Document Server

Wilansky, Albert

2013-01-01

Designed for a one-year course in topological vector spaces, this text is geared toward advanced undergraduates and beginning graduate students of mathematics. The subjects involve properties employed by researchers in classical analysis, differential and integral equations, distributions, summability, and classical Banach and Frechét spaces. Optional problems with hints and references introduce non-locally convex spaces, Köthe-Toeplitz spaces, Banach algebra, sequentially barrelled spaces, and norming subspaces.Extensive introductory chapters cover metric ideas, Banach space, topological vect

Wavelet analysis of the nuclear phase space

International Nuclear Information System (INIS)

Jouault, B.; Sebille, F.; Mota, V. de la.

1997-01-01

The description of transport phenomena in nuclear matter is addressed in a new approach based on the mathematical theory of wavelets and the projection methods of statistical physics. The advantage of this framework is to offer the opportunity to use information concepts common to both the formulation of physical properties and the mathematical description. This paper focuses on two features, the extraction of relevant informations using the geometrical properties of the underlying phase space and the optimization of the theoretical and numerical treatments based on convenient choices of the representation spaces. (author)

Wavelet analysis of the nuclear phase space

Energy Technology Data Exchange (ETDEWEB)

Jouault, B.; Sebille, F.; Mota, V. de la

1997-12-31

The description of transport phenomena in nuclear matter is addressed in a new approach based on the mathematical theory of wavelets and the projection methods of statistical physics. The advantage of this framework is to offer the opportunity to use information concepts common to both the formulation of physical properties and the mathematical description. This paper focuses on two features, the extraction of relevant informations using the geometrical properties of the underlying phase space and the optimization of the theoretical and numerical treatments based on convenient choices of the representation spaces. (author). 34 refs.

Spectral Theory of Operators on Hilbert Spaces

CERN Document Server

Kubrusly, Carlos S

2012-01-01

This work is a concise introduction to spectral theory of Hilbert space operators. Its emphasis is on recent aspects of theory and detailed proofs, with the primary goal of offering a modern introductory textbook for a first graduate course in the subject. The coverage of topics is thorough, as the book explores various delicate points and hidden features often left untreated. Spectral Theory of Operators on Hilbert Space is addressed to an interdisciplinary audience of graduate students in mathematics, statistics, economics, engineering, and physics. It will also be useful to working mathemat

On Scalar Energy: Mathematical Formulation

International Nuclear Information System (INIS)

Hathout, A.M.

2011-01-01

A new kind of electromagnetic waves (EMW), which exists only in vacuum of the empty space, will be discussed and mathematically formulated in this paper. The mathematical existence of this energy was first proposed in a series of groundbreaking equations by Scottish Mathematician, James Clerk Maxwell, in the mid of 1800 and 39;s. This energy is called scalar energy. It is characterized by both particle and wave like. The waves of this energy are called longitudinal EMW to distinguish them from transverse EM, the kind we are familiar with in our daily life. Teslas name of this energy is scalar energy or zero point energy. It is aimed at this paper to explain more details and to verify the scalar EM concept in vacuum.

An institutional approach to university mathematics education:

DEFF Research Database (Denmark)

Winsløw, Carl; Barquero, Berta; De Vleeschouwer, Martine

2014-01-01

University mathematics education (UME) is considered, in this paper, as a kind of didactic practice – characterised by institutional settings and by the purpose of inducting students into mathematical practices. We present a research programme – the anthropological theory of the didactic (ATD......) – in which this rough definition can be made much more precise; we also outline some cases of ATD-based research on UME. Three cases are presented in more detail. The first is a theoretical and empirical study of the topic of dual vector spaces, as it appears in undergraduate courses on linear algebra...... for engineering students....

Origins of the brain networks for advanced mathematics in expert mathematicians.

Science.gov (United States)

Amalric, Marie; Dehaene, Stanislas

2016-05-03

The origins of human abilities for mathematics are debated: Some theories suggest that they are founded upon evolutionarily ancient brain circuits for number and space and others that they are grounded in language competence. To evaluate what brain systems underlie higher mathematics, we scanned professional mathematicians and mathematically naive subjects of equal academic standing as they evaluated the truth of advanced mathematical and nonmathematical statements. In professional mathematicians only, mathematical statements, whether in algebra, analysis, topology or geometry, activated a reproducible set of bilateral frontal, Intraparietal, and ventrolateral temporal regions. Crucially, these activations spared areas related to language and to general-knowledge semantics. Rather, mathematical judgments were related to an amplification of brain activity at sites that are activated by numbers and formulas in nonmathematicians, with a corresponding reduction in nearby face responses. The evidence suggests that high-level mathematical expertise and basic number sense share common roots in a nonlinguistic brain circuit.

Parovičenko spaces with structures

Czech Academy of Sciences Publication Activity Database

Kubiś, Wieslaw; Kucharski, A.; Turek, S.

2014-01-01

Roč. 108, č. 2 (2014), s. 989-1004 ISSN 1578-7303 R&D Projects: GA ČR(CZ) GAP201/12/0290 Institutional support: RVO:67985840 Keywords : structured compact space * normally supercompact space * median space Subject RIV: BA - General Mathematics Impact factor: 0.776, year: 2014 http://link.springer.com/article/10.1007%2Fs13398-013-0156-0

A rigid Urysohn-like space

Czech Academy of Sciences Publication Activity Database

Grebík, Jan

2017-01-01

Roč. 145, č. 9 (2017), s. 4049-4060 ISSN 0002-9939 R&D Projects: GA ČR GF16-34860L; GA MŠk(CZ) 7AMB15AT035 Institutional support: RVO:67985840 Keywords : amalgamation * Rado graph * Urysohn space Subject RIV: BA - General Mathematics OBOR OECD: Pure mathematics Impact factor: 0.679, year: 2016 http://www.ams.org/journals/proc/2017-145-09/S0002-9939-2017-13511-4/

Mathematics related anxiety: Mathematics bogeyman or not?

Directory of Open Access Journals (Sweden)

Videnović Marina

2011-01-01

Full Text Available Data of the PISA 2003 survey indicate high levels of mathematics anxiety of students in Serbia. More than half of our students worry whether they will have difficulties in mathematics class or whether they will earn poor marks. Aims of this study therefore are: examining relationship between math anxiety and achievement at mathematics literacy scale; establishing possible predictors of math anxiety and identification of students' groups in relations to their relationship towards mathematics as a subject. Mathematics anxiety is statistically negatively correlated with school achievement and achievement at mathematics literacy scale. Socio-demographic factors, motivational and cognitive aspects related to learning mathematics, perception of school and classroom climate explain 40% variance of mathematics anxiety. Based on students' relationship towards mathematics they cam be divided into three groups; while dimensions that apart them are uninterested-interested in mathematics and presence-absence of anxiety. The group displaying anxiety scores lowest among the three. Applying qualitative analysis students' and teachers' attitudes on specific issues related to teaching and learning mathematics was examined.

Manifold Shape : from Differential Geometry to Mathematical Morphology

NARCIS (Netherlands)

Roerdink, J.B.T.M.

1994-01-01

Much progress has been made in extending Euclidean mathematical morphology to more complex structures such as complete lattices or spaces with a non-commutative symmetry group. Such generalizations are important for practical situations such as translation and rotation invariant pattern recognition

Sobolev spaces on bounded symmetric domains

Czech Academy of Sciences Publication Activity Database

Engliš, Miroslav

Roč. 60, č. 12 ( 2015 ), s. 1712-1726 ISSN 1747-6933 Institutional support: RVO:67985840 Keywords : bounded symmetric domain * Sobolev space * Bergman space Subject RIV: BA - General Mathematics Impact factor: 0.466, year: 2015 http://www.tandfonline.com/doi/abs/10.1080/17476933. 2015 .1043910

The Marginalisation of Indigenous Students within School Mathematics and the Math Wars: Seeking Resolutions within Ethical Spaces

Science.gov (United States)

Russell, Gale L.; Chernoff, Egan J.

2013-01-01

In mathematics education, there are (at least) two seemingly disparate and unethical issues that have been allowed to continue unresolved for decades: the math wars (traditional versus reform teaching and learning of mathematics) and the marginalisation of Indigenous students within K-12 mathematics. Willie Ermine, an Indigenous scholar, has…

On grand and small Lebesgue and Sobolev spaces and some applications to PDEs

Czech Academy of Sciences Publication Activity Database

Fiorenza, A.; Formica, M. R.; Gogatishvili, Amiran

2018-01-01

Roč. 10, č. 1 (2018), s. 21-46 ISSN 1847-120X R&D Projects: GA ČR GA13-14743S Institutional support: RVO:67985840 Keywords : grand Lebesgue spaces * small Lebesgue spaces * interpolation Subject RIV: BA - General Mathematics OBOR OECD: Pure mathematics http://dea.ele-math.com/10-03/On-grand-and-small-Lebesgue-and-Sobolev-spaces-and-some-applications-to-PDE-s

Teachers' Mathematics as Mathematics-at-Work

Science.gov (United States)

Bednarz, Nadine; Proulx, Jérôme

2017-01-01

Through recognising mathematics teachers as professionals who use mathematics in their workplace, this article traces a parallel between the mathematics enacted by teachers in their practice and the mathematics used in workplaces found in studies of professionals (e.g. nurses, engineers, bankers). This parallel is developed through the five…

Construction and reconstruction concept in mathematics instruction

Science.gov (United States)

Mumu, Jeinne; Charitas Indra Prahmana, Rully; Tanujaya, Benidiktus

2017-12-01

The purpose of this paper is to describe two learning activities undertaken by lecturers, so that students can understand a mathematical concept. The mathematical concept studied in this research is the Vector Space in Linear Algebra instruction. Classroom Action Research used as a research method with pre-service mathematics teacher at University of Papua as the research subject. Student participants are divided into two parallel classes, 24 students in regular class, and remedial class consist of 18 students. Both approaches, construct and reconstruction concept, are implemented on both classes. The result shows that concept construction can only be done in regular class while in remedial class, learning with concept construction approach is not able to increase students' understanding on the concept taught. Understanding the concept of a student in a remedial class can only be carried out using the concept reconstruction approach.

Probability elements of the mathematical theory

CERN Document Server

Heathcote, C R

2000-01-01

Designed for students studying mathematical statistics and probability after completing a course in calculus and real variables, this text deals with basic notions of probability spaces, random variables, distribution functions and generating functions, as well as joint distributions and the convergence properties of sequences of random variables. Includes worked examples and over 250 exercises with solutions.

Non-Compact and Sharp Embeddings of Logarithmic Bessel Potential Spaces into Hölder-Type Spaces

Czech Academy of Sciences Publication Activity Database

Edmunds, D. E.; Gurka, P.; Opic, Bohumír

2006-01-01

Roč. 25, č. 1 (2006), s. 73-80 ISSN 0232-2064 R&D Projects: GA ČR(CZ) GA201/01/0333 Institutional research plan: CEZ:AV0Z10190503 Keywords : generalized Lorentz-Zygmund spaces * logarithmic Bessel potential spaces * Hölder-continuous functions Subject RIV: BA - General Mathematics Impact factor: 0.360, year: 2006

A Multi-Purpose Math Lab: A Place for All Seasons.

Science.gov (United States)

Habib, Berthe

Two services offered by Bellevue Community College's Multipurpose Math Lab are described in this report. The first of these is the lab's drop-in tutorial center, which offers tutorial support, worksheets, and other instructional materials to students at all levels of mathematics course work. This section of the report describes the philosophy of…

Interpreting mathematics in physics: Charting the applications of SU(2) in 20th century physics

International Nuclear Information System (INIS)

Anderson, Ronald; Joshi, G.C.

2008-01-01

The role mathematics plays within physics has been of sustained interest for physicists as well as for philosophers and historians of science. We explore this topic by tracing the role the mathematical structure associated with SU(2) has played in three key episodes in 20th century physics - intrinsic spin, isospin, and gauge theory and electroweak unification. We also briefly consider its role in loop quantum gravity. Each episode has led to profound and new physical notions of a space other than the traditional ones of space and spacetime, and each has had associated with it a complex and in places, contested history. The episodes also reveal ways mathematical structures provide resources for new physical theorizing and we propose our study as a contribution to a need Roger Penrose has identified to develop a 'profoundly sensitive aesthetic' sense for locating physically relevant mathematics

Normed Orlicz function spaces which can be quasi-renormed with easily calculable quasinorms

Czech Academy of Sciences Publication Activity Database

Foralewski, P.; Hudzik, H.; Kaczmarek, R.; Krbec, Miroslav

2017-01-01

Roč. 11, č. 3 (2017), s. 636-660 ISSN 1735-8787 Institutional support: RVO:67985840 Keywords : embeddings into Lebesgue and weighted Lebesgue spaces * Orlicz spaces * quasinorms Subject RIV: BA - General Mathematics OBOR OECD: Pure mathematics Impact factor: 0.833, year: 2016 http://projecteuclid.org/euclid.bjma/1496973700

Examining Fourth-Grade Mathematics Writing: Features of Organization, Mathematics Vocabulary, and Mathematical Representations

Science.gov (United States)

Hebert, Michael A.; Powell, Sarah R.

2016-01-01

Increasingly, students are expected to write about mathematics. Mathematics writing may be informal (e.g., journals, exit slips) or formal (e.g., writing prompts on high-stakes mathematics assessments). In order to develop an effective mathematics-writing intervention, research needs to be conducted on how students organize mathematics writing and…

Teaching Mathematical Modeling in Mathematics Education

Science.gov (United States)

Saxena, Ritu; Shrivastava, Keerty; Bhardwaj, Ramakant

2016-01-01

Mathematics is not only a subject but it is also a language consisting of many different symbols and relations. Taught as a compulsory subject up the 10th class, students are then able to choose whether or not to study mathematics as a main subject. The present paper discusses mathematical modeling in mathematics education. The article provides…

Mathematical Modeling and Pure Mathematics

Science.gov (United States)

Usiskin, Zalman

2015-01-01

Common situations, like planning air travel, can become grist for mathematical modeling and can promote the mathematical ideas of variables, formulas, algebraic expressions, functions, and statistics. The purpose of this article is to illustrate how the mathematical modeling that is present in everyday situations can be naturally embedded in…

q-deformed phase-space and its lattice structure

International Nuclear Information System (INIS)

Wess, J.

1998-01-01

Quantum groups lead to an algebraic structure that can be realized on quantum spaces. These are non-commutative spaces that inherit a well-defined mathematical structure from the quantum group symmetry. In turn, such quantum spaces can be interpreted as non-commutative configuration spaces for physical systems. We study the non-commutative Euclidean space that is based on the quantum group SO q (3)

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…

Optimal Embeddings of Bessel-Potential-Type Spaces into Generalized Hölder Spaces Involving k-Modulus of Smoothness

Czech Academy of Sciences Publication Activity Database

Gogatishvili, Amiran; Neves, J. S.; Opic, Bohumír

2010-01-01

Roč. 32, č. 3 (2010), s. 201-228 ISSN 0926-2601 R&D Projects: GA ČR GA201/05/2033; GA ČR GA201/08/0383 Institutional research plan: CEZ:AV0Z10190503 Keywords : slowly varying functions * Lorentz-Karamata spaces * Rearrangement-invariant Banach function spaces * Bessel potentials * (fractional) Sobolev-type spaces * Hölder-type spaces * Zygmund-type spaces Subject RIV: BA - General Mathematics Impact factor: 0.853, year: 2010 http://link.springer.com/article/10.1007%2Fs11118-009-9148-2

Mathematizing Process of Junior High School Students to Improve Mathematics Literacy Refers PISA on RCP Learning

International Nuclear Information System (INIS)

Wardono; Mariani, S; Hendikawati, P; Ikayani

2017-01-01

Mathematizing process (MP) is the process of modeling a phenomenon mathematically or establish the concept of a phenomenon. There are two mathematizing that is Mathematizing Horizontal (MH) and Mathematizing Vertical (MV). MH as events changes contextual problems into mathematical problems, while MV is the process of formulation of the problem into a variety of settlement mathematics by using some appropriate rules. Mathematics Literacy (ML) is the ability to formulate, implement and interpret mathematics in various contexts, including the capacity to perform reasoning mathematically and using the concepts, procedures, and facts to describe, explain or predict phenomena incident. If junior high school students are conditioned continuously to conduct mathematizing activities on RCP (RME-Card Problem) learning, it will be able to improve ML that refers PISA. The purpose of this research is to know the capability of the MP grade VIII on ML content shape and space with the matter of the cube and beams with RCP learning better than the scientific learning, upgrade MP grade VIII in the issue of the cube and beams with RCP learning better than the scientific learning in terms of cognitive styles reflective and impulsive the MP grade VIII with the approach of the RCP learning in terms of cognitive styles reflective and impulsive This research is the mixed methods model concurrent embedded. The population in this study, i.e., class VIII SMPN 1 Batang with sample two class. Data were taken with the observation, interviews, and tests and analyzed with a different test average of one party the right qualitative and descriptive. The results of this study demonstrate the capability of the MP student with RCP learning better than the scientific learning, upgrade MP with RCP learning better compare with scientific learning in term cognitive style of reflective and impulsive. The subject of the reflective group top, middle, and bottom can meet all the process of MH indicators are

Contrasts in Mathematical Challenges in A-Level Mathematics and Further Mathematics, and Undergraduate Mathematics Examinations

Science.gov (United States)

Darlington, Ellie

2014-01-01

This article describes part of a study which investigated the role of questions in students' approaches to learning mathematics at the secondary-tertiary interface, focussing on the enculturation of students at the University of Oxford. Use of the Mathematical Assessment Task Hierarchy taxonomy revealed A-level Mathematics and Further Mathematics…

Hyperbolic space for tourists

NARCIS (Netherlands)

Blasjo, Viktor|info:eu-repo/dai/nl/338038108

2013-01-01

We discuss how a creature accustomed to Euclidean space would fare in a world of hyperbolic or spherical geometry, and conversely. Various optical illusions and counterintuitive experiences arise, which can be explicated mathematically using plane models of these geometries.

The Constructed Objectivity of Mathematics and the Cognitive Subject

Science.gov (United States)

Longo, Giuseppe

Mathematics is engendered in conjunction with other forms of knowledge, physics in particular. It is a "genealogy of concepts" (Riemann), that stems from our active reconstruction of the world. Mathematics organizes space and time. It stabilizes notions and concepts as no other language, while isolating by them a few intelligible fragments of "reality" at the phenomenal level. Thus an epistemological analysis of mathematics is proposed, as a foundation that departs from and complements the logico-formal approaches: Mathematics is grounded in a formation of sense, of a congnitive and historical nature, which preceeds the explicit formulation of axioms and rules. The genesis of some conceptual invariants will be sketched (numbers, continua, infinity, proofs, etc.). From these, categories as structural invariants (objects) and "invariant preserving maps" (morphisms, functors) are derived, in a reflective equilibrium of theories that parallels our endeavour to gain knowledge of the physical world.

Interpreting mathematics in physics: Charting the applications of SU(2) in 20th century physics

Energy Technology Data Exchange (ETDEWEB)

Anderson, Ronald [Department of Philosophy, Boston College, Chestnut Hill, MA 02467 (United States)], E-mail: ronald.anderson@bc.edu; Joshi, G.C. [School of Physics, University of Melbourne, Victoria 3010 (Australia)], E-mail: joshi@physics.unimelb.edu.au

2008-04-15

The role mathematics plays within physics has been of sustained interest for physicists as well as for philosophers and historians of science. We explore this topic by tracing the role the mathematical structure associated with SU(2) has played in three key episodes in 20th century physics - intrinsic spin, isospin, and gauge theory and electroweak unification. We also briefly consider its role in loop quantum gravity. Each episode has led to profound and new physical notions of a space other than the traditional ones of space and spacetime, and each has had associated with it a complex and in places, contested history. The episodes also reveal ways mathematical structures provide resources for new physical theorizing and we propose our study as a contribution to a need Roger Penrose has identified to develop a 'profoundly sensitive aesthetic' sense for locating physically relevant mathematics.

Proceedings – Mathematical Sciences | Indian Academy of Sciences

Indian Academy of Sciences (India)

... Mid Year Meetings · Discussion Meetings · Public Lectures · Lecture Workshops · Refresher Courses · Symposia · Live Streaming. Home; Journals; Proceedings – Mathematical Sciences; Volume 122; Issue 1. The Cohomology of Orbit Spaces of Certain Free Circle Group Actions. Hemant Kumar Singh Tej Bahadur Singh.

Proceedings – Mathematical Sciences | Indian Academy of Sciences

Indian Academy of Sciences (India)

In this paper, we study the matrix multiplication operators on Banach function spaces and discuss their applications in semigroups for solving the abstract Cauchy problem. Author Affiliations. H Hudzik1 Rajeev Kumar2 Romesh Kumar2. Faculty of Mathematics and Computer Science, Adam Mickiewicz University ...

Mathematical aspects of superspace, volume 132

International Nuclear Information System (INIS)

Seifert, H.J.

1984-01-01

Through a continually increasing wave of activity in the physics community, super-gravity has come to be regarded as one of the most promising ways of unifying gravity with other particle interaction as a finite gauge theory to explain the particle-spectrum. Concurrently, important mathematical work on graded manifolds and superspace as proposed arenas of supergravity has been carried out. There remains a gap between the mathematical and physical approaches expressed by such unanswered questions as: Does there exist a superspace having the properties that physicists require. Does it make sense to perform a path-integral in such spaces. Does a sensible classical supergravity exist. It is hoped that this volume will stimulate the dialogue between mathematicians and physicists dealing with these questions

Systematic perspectives on diverging mathematical orientations

Directory of Open Access Journals (Sweden)

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.

Using Mathematics Literature with Prospective Secondary Mathematics Teachers

Science.gov (United States)

Jett, Christopher C.

2014-01-01

Literature in mathematics has been found to foster positive improvements in mathematics learning. This manuscript reports on a mathematics teacher educator's use of literature via literature circles with 11 prospective secondary mathematics teachers in a mathematics content course. Using survey and reflection data, the author found that…

The philosophy of space and time

CERN Document Server

Reichenbach, Hans

1958-01-01

With unusual depth and clarity, the author covers the problem of the foundations of geometry, the theory of time, the theory and consequences of Einstein's relativity including: relations between theory and observations, coordinate definitions, relations between topological and metrical properties of space, the psychological problem of the possibility of a visual intuition of non-Euclidean structures, and many other important topics in modern science and philosophy. While some of the book utilizes mathematics of a somewhat advanced nature, the exposition is so careful and complete that most people familiar with the philosophy of science or some intermediate mathematics will understand the majority of the ideas and problems discussed. Partial contents: I. The Problem of Physical Geometry. Universal and Differential Forces. Visualization of Geometries. Spaces with non-Euclidean Topological Properties. Geometry as a Theory of Relations. II. The Difference between Space and Time. Simultaneity. Time Order. Unreal ...

Sex Differences in Mathematics Attainment at GCE Ordinary Level

Science.gov (United States)

Wood, Robert

1976-01-01

In a comparison of mathematical abilities of boys and girls, after allowing for school effects, boys are seen to excel on problems involving scale or measurement, probability, and space-time relationships. Possible explanations for the observed differences are made. (Author/AV)

Aging in a Relativistic Biological Space-Time

Directory of Open Access Journals (Sweden)

Davide Maestrini

2018-05-01

Full Text Available Here we present a theoretical and mathematical perspective on the process of aging. We extend the concepts of physical space and time to an abstract, mathematically-defined space, which we associate with a concept of “biological space-time” in which biological dynamics may be represented. We hypothesize that biological dynamics, represented as trajectories in biological space-time, may be used to model and study different rates of biological aging. As a consequence of this hypothesis, we show how dilation or contraction of time analogous to relativistic corrections of physical time resulting from accelerated or decelerated biological dynamics may be used to study precipitous or protracted aging. We show specific examples of how these principles may be used to model different rates of aging, with an emphasis on cancer in aging. We discuss how this theory may be tested or falsified, as well as novel concepts and implications of this theory that may improve our interpretation of biological aging.

Dynamical structure of space and time

International Nuclear Information System (INIS)

Sannikov-Proskuryakov, S.S.

2000-01-01

A mathematically correct solution of the problem of ultraviolet divergences requires a radical change of our ideas on space and matter. We show that the space is a discontinuum in small which is the carrier of a new dynamical structure. Taking into account this structure, a new theory of elementary particles can be suggested

Doing Mathematics with Purpose: Mathematical Text Types

Science.gov (United States)

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'…

Annual Perspectives in Mathematics Education 2016: Mathematical Modeling and Modeling Mathematics

Science.gov (United States)

Hirsch, Christian R., Ed.; McDuffie, Amy Roth, Ed.

2016-01-01

Mathematical modeling plays an increasingly important role both in real-life applications--in engineering, business, the social sciences, climate study, advanced design, and more--and within mathematics education itself. This 2016 volume of "Annual Perspectives in Mathematics Education" ("APME") focuses on this key topic from a…

Mathcad in the Chemistry Curriculum Symbolic Software in the Chemistry Curriculum

Science.gov (United States)

Zielinski, Theresa Julia

2000-05-01

Physical chemistry is such a broad discipline that the topics we expect average students to complete in two semesters usually exceed their ability for meaningful learning. Consequently, the number and kind of topics and the efficiency with which students can learn them are important concerns. What topics are essential and what can we do to provide efficient and effective access to those topics? How do we accommodate the fact that students come to upper-division chemistry courses with a variety of nonuniformly distributed skills, a bit of calculus, and some physics studied one or more years before physical chemistry? The critical balance between depth and breadth of learning in courses and curricula may be achieved through appropriate use of technology and especially through the use of symbolic mathematics software. Software programs such as Mathcad, Mathematica, and Maple, however, have learning curves that diminish their effectiveness for novices. There are several ways to address the learning curve conundrum. First, basic instruction in the software provided during laboratory sessions should be followed by requiring laboratory reports that use the software. Second, one should assign weekly homework that requires the software and builds student skills within the discipline and with the software. Third, a complementary method, supported by this column, is to provide students with Mathcad worksheets or templates that focus on one set of related concepts and incorporate a variety of features of the software that they are to use to learn chemistry. In this column we focus on two significant topics for young chemists. The first is curve-fitting and the statistical analysis of the fitting parameters. The second is the analysis of the rotation/vibration spectrum of a diatomic molecule, HCl. A broad spectrum of Mathcad documents exists for teaching chemistry. One collection of 50 documents can be found at http://www.monmouth.edu/~tzielins/mathcad/Lists/index.htm. Another

The mathematical theory of signal processing and compression-designs

Science.gov (United States)

Feria, Erlan H.

2006-05-01

The mathematical theory of signal processing, named processor coding, will be shown to inherently arise as the computational time dual of Shannon's mathematical theory of communication which is also known as source coding. Source coding is concerned with signal source memory space compression while processor coding deals with signal processor computational time compression. Their combination is named compression-designs and referred as Conde in short. A compelling and pedagogically appealing diagram will be discussed highlighting Conde's remarkable successful application to real-world knowledge-aided (KA) airborne moving target indicator (AMTI) radar.

Lost in Translation

Science.gov (United States)

Stainburn, Samantha

2004-01-01

This article describes how Everyday Mathematics, a new program that is being used for kids at all levels across the US, is now a part of a curriculum change in the New York City school system. Instead of teaching standard ways to perform addition, subtraction, multiplication, and long division and then drilling students with worksheets, teachers…

Banach frames for multivariate alpha-modulation spaces

DEFF Research Database (Denmark)

Borup, Lasse; Nielsen, Morten

2006-01-01

The α-modulation spaces [$Mathematical Term$], form a family of spaces that include the Besov and modulation spaces as special cases. This paper is concerned with construction of Banach frames for α-modulation spaces in the multivariate setting. The frames constructed are unions of independent Ri...... Riesz sequences based on tensor products of univariate brushlet functions, which simplifies the analysis of the full frame. We show that the multivariate α-modulation spaces can be completely characterized by the Banach frames constructed....

Proceedings – Mathematical Sciences | Indian Academy of Sciences

Indian Academy of Sciences (India)

Home; Journals; Proceedings – Mathematical Sciences; Volume 122; Issue 3. Issue front cover thumbnail. Volume 122, Issue 3. August 2012, pages 313-484. pp 313-317. On the Dimension of Chowla–Milnor Space · Tapas Chatterjee · More Details .... Isoperimetric Upper Bounds for the First Eigenvalue · G Santhanam.

Proceedings – Mathematical Sciences | Indian Academy of Sciences

Indian Academy of Sciences (India)

... Refresher Courses · Symposia · Live Streaming. Home; Journals; Proceedings – Mathematical Sciences; Volume 124; Issue 1. Vector-Valued almost Convergence and Classical Properties in Normed Spaces. A Aizpuru R Armario F J Garcia-Pacheco F J Perez-Fernandez. Volume 124 Issue 1 February 2014 pp 93-108 ...

The Ascoli property for function spaces and the weak topology of Banach and Fréchet spaces

Czech Academy of Sciences Publication Activity Database

Gabriyelyan, S.; Kąkol, Jerzy; Plebanek, G.

2016-01-01

Roč. 233, č. 2 (2016), s. 119-139 ISSN 0039-3223 R&D Projects: GA ČR GF16-34860L Institutional support: RVO:67985840 Keywords : locally convex-space Subject RIV: BA - General Mathematics Impact factor: 0.535, year: 2016 https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/studia-mathematica/all/233/2/91577/the-ascoli-property-for-function-spaces- and -the-weak-topology-of-banach- and -frechet-spaces

A mathematical medley fifty easy pieces on mathematics

CERN Document Server

Szpiro, George G

2010-01-01

Szpiro's book provides a delightful, well-written, eclectic selection of mathematical tidbits that makes excellent airplane reading for anyone with an interest in mathematics, regardless of their mathematical background. Excellent gift material. -Keith Devlin, Stanford University, author of The Unfinished Game and The Language of Mathematics It is great to have collected in one volume the many varied, insightful and often surprising mathematical stories that George Szpiro has written in his mathematical columns for the newspapers through the years. -Marcus du Sautoy, Oxford University, author

Ideas of space

International Nuclear Information System (INIS)

Gray, J.

1979-01-01

An historical and chronological account of mathematics Familiarity with simple equations and elements of trigonometry is needed but no specialist knowledge is assumed although difficult problems are discussed. By discussion of the difficulties and confusions it is hoped to understand mathematics as a dynamic activity. Beginning with early Greek mathematics, the Eastern legacy and the transition to deductive and geometric thinking the problem of parallels is then encountered and discussed. The second part of the book takes the story from Wallis, Saccheri and Lambert through to its resolution by Gauss, Lobachevskii, Bolyai, Riemann and Bettrami. The background of the 19th century theory of surfaces is given. The third part gives an account of Einstein's theories based on what has gone before, moving from a Newtonian-Euclidean picture to an Einsteinian-nonEuclidean one. A brief account of gravitation, the nature of space and black holes concludes the book. (UK)

The Relationship among Elementary Teachers’ Mathematics Anxiety, Mathematics Instructional Practices, and Student Mathematics Achievement

OpenAIRE

Hadley, Kristin M.; Dorward, Jim

2011-01-01

Many elementary teachers have been found to have high levels of mathematics anxiety but the impact on student achievement was unknown. Elementary teachers (N = 692) completed the modified Mathematics Anxiety Rating Scale-Revised (Hopko, 2003) along with a questionnaire probing anxiety about teaching mathematics and current mathematics instructional practices. Student mathematics achievement data were collected for the classrooms taught by the teachers. A positive relationship was found betwee...

The language of mathematics telling mathematical tales

CERN Document Server

Barton, Bill

2008-01-01

Everyday mathematical ideas are expressed differently in different languages. This book probes those differences and explores their implications for mathematics education, arguing for alternatives to how we teach and learn mathematics.

Mathematical Modelling Approach in Mathematics Education

Science.gov (United States)

Arseven, Ayla

2015-01-01

The topic of models and modeling has come to be important for science and mathematics education in recent years. The topic of "Modeling" topic is especially important for examinations such as PISA which is conducted at an international level and measures a student's success in mathematics. Mathematical modeling can be defined as using…

Mathematics Underground

Science.gov (United States)

Luther, Kenneth H.

2012-01-01

Mathematical modeling of groundwater flow is a topic at the intersection of mathematics and geohydrology and is rarely encountered in undergraduate mathematics. However, this subject is full of interesting and meaningful examples of truly "applied" mathematics accessible to undergraduates, from the pre-calculus to advanced mathematics levels. This…

Mathematical bridges

CERN Document Server

Andreescu, Titu; Tetiva, Marian

2017-01-01

Building bridges between classical results and contemporary nonstandard problems, Mathematical Bridges embraces important topics in analysis and algebra from a problem-solving perspective. Blending old and new techniques, tactics and strategies used in solving challenging mathematical problems, readers will discover numerous genuine mathematical gems throughout that will heighten their appreciation of the inherent beauty of mathematics. Most of the problems are original to the authors and are intertwined in a well-motivated exposition driven by representative examples. The book is structured to assist the reader in formulating and proving conjectures, as well as devising solutions to important mathematical problems by making connections between various concepts and ideas from different areas of mathematics. Instructors and educators teaching problem-solving courses or organizing mathematics clubs, as well as motivated mathematics students from high school juniors to college seniors, will find Mathematical Bri...

Exploring mathematics anxiety and attitude: Mathematics students' experiences

Science.gov (United States)

Sahri, Nurul Ashikin; Kamaruzaman, Wan Nur Farahdalila Wan; Jamil, Jastini Mohd.; Shaharanee, Izwan Nizal Mohd.

2017-11-01

A quantitative and correlational, survey methods were used to investigate the relationships among mathematical anxiety and attitude toward student's mathematics performance. Participants were 100 students volunteer to enroll in undergraduate Industrial Statistics, Decision Sciences and Business Mathematics at one of northern university in Malaysia. Survey data consisted of demographic items and Likert scale items. The collected data was analyzed by using the idea of correlation and regression analysis. The results indicated that there was a significant positive relationship between students' attitude and mathematics anxiety. Results also indicated that a substantial positive effect of students' attitude and mathematics anxiety in students' achievement. Further study can be conducted on how mathematical anxiety and attitude toward mathematics affects can be used to predict the students' performance in the class.

Positional control of space robot manipulator

Science.gov (United States)

Kurochkin, Vladislav; Shymanchuk, Dzmitry

2018-05-01

In this article the mathematical model of a planar space robot manipulator is under study. The space robot manipulator represents a solid body with attached manipulators. The system of equations of motion is determined using the Lagrange's equations. The control problem concerning moving the robot to a given point and return it to a given trajectory in the phase space is solved. Changes of generalized coordinates and necessary control actions are plotted for a specific model.

Radiative transfer on discrete spaces

CERN Document Server

Preisendorfer, Rudolph W; Stark, M; Ulam, S

1965-01-01

Pure and Applied Mathematics, Volume 74: Radiative Transfer on Discrete Spaces presents the geometrical structure of natural light fields. This book describes in detail with mathematical precision the radiometric interactions of light-scattering media in terms of a few well established principles.Organized into four parts encompassing 15 chapters, this volume begins with an overview of the derivations of the practical formulas and the arrangement of formulas leading to numerical solution procedures of radiative transfer problems in plane-parallel media. This text then constructs radiative tran

A Capstone Mathematics Course for Prospective Secondary Mathematics Teachers

Science.gov (United States)

Artzt, Alice F.; Sultan, Alan; Curcio, Frances R.; Gurl, Theresa

2012-01-01

This article describes an innovative capstone mathematics course that links college mathematics with school mathematics and pedagogy. It describes how college juniors in a secondary mathematics teacher preparation program engage in leadership experiences that enable them to learn mathematics for teaching while developing student-centered…

Mobile STEMship Discovery Center: K-12 Aerospace-Based Science, Technology, Engineering, and Mathematics (STEM) Mobile Teaching Vehicle

Science.gov (United States)

2015-08-03

AND SUBTITLE Mobile STEMship Discovery Center: K-12 Aerospace-Based Science, Technology, Engineering, and Mathematics (STEM) Mobile Teaching Vehicle...Center program to be able to expose Science Technology, Engineering and Mathematics (STEM) space-inspired science centers for DC Metro beltway schools

Mathematical model for the preliminary analysis of dual-mode space nuclear fission solid core power and propulsion systems, NUROC3A. AMS report No. 1239a

Energy Technology Data Exchange (ETDEWEB)

Grey, J.; Chow, S.

1976-06-30

The three-volume report describes a dual-mode nuclear space power and propulsion system concept that employs an advanced solid-core nuclear fission reactor coupled via heat pipes to one of several electric power conversion systems. Such a concept could be particularly useful for missions which require both relatively high acceleration (e.g., for planetocentric maneuvers) and high performance at low acceleration (e.g., on heliocentric trajectories or for trajectory shaping). The first volume develops the mathematical model of the system.

Finite Topological Spaces as a Pedagogical Tool

Science.gov (United States)

Helmstutler, Randall D.; Higginbottom, Ryan S.

2012-01-01

We propose the use of finite topological spaces as examples in a point-set topology class especially suited to help students transition into abstract mathematics. We describe how carefully chosen examples involving finite spaces may be used to reinforce concepts, highlight pathologies, and develop students' non-Euclidean intuition. We end with a…

On Mathematical Understanding: Perspectives of Experienced Chinese Mathematics Teachers

Science.gov (United States)

Cai, Jinfa; Ding, Meixia

2017-01-01

Researchers have long debated the meaning of mathematical understanding and ways to achieve mathematical understanding. This study investigated experienced Chinese mathematics teachers' views about mathematical understanding. It was found that these mathematics teachers embrace the view that understanding is a web of connections, which is a result…

Hands-On Mathematics: Two Cases from Ancient Chinese Mathematics

Science.gov (United States)

Wang, Youjun

2009-01-01

In modern mathematical teaching, it has become increasingly emphasized that mathematical knowledge should be taught by problem-solving, hands-on activities, and interactive learning experiences. Comparing the ideas of modern mathematical education with the development of ancient Chinese mathematics, we find that the history of mathematics in…

Proceedings – Mathematical Sciences | Indian Academy of Sciences

Indian Academy of Sciences (India)

Home; Journals; Proceedings – Mathematical Sciences; Volume 118; Issue 3. Issue front cover thumbnail. Volume 118, Issue 3. August 2008, pages 321-494. pp 321-350. Sharp Bounds on the Ranks of Negativity of Certain Sums · Torben Maack Bisgaard · More Details Abstract Fulltext PDF. If is a complex vector space ...

Theoretical Mathematics

Science.gov (United States)

Stöltzner, Michael

Answering to the double-faced influence of string theory on mathematical practice and rigour, the mathematical physicists Arthur Jaffe and Frank Quinn have contemplated the idea that there exists a `theoretical' mathematics (alongside `theoretical' physics) whose basic structures and results still require independent corroboration by mathematical proof. In this paper, I shall take the Jaffe-Quinn debate mainly as a problem of mathematical ontology and analyse it against the backdrop of two philosophical views that are appreciative towards informal mathematical development and conjectural results: Lakatos's methodology of proofs and refutations and John von Neumann's opportunistic reading of Hilbert's axiomatic method. The comparison of both approaches shows that mitigating Lakatos's falsificationism makes his insights about mathematical quasi-ontology more relevant to 20th century mathematics in which new structures are introduced by axiomatisation and not necessarily motivated by informal ancestors. The final section discusses the consequences of string theorists' claim to finality for the theory's mathematical make-up. I argue that ontological reductionism as advocated by particle physicists and the quest for mathematically deeper axioms do not necessarily lead to identical results.

Exploring Differential Effects of Mathematics Courses on Mathematics Achievement

Science.gov (United States)

Ma, Xin; McIntyre, Laureen J.

2005-01-01

Using data from the Longitudinal Study of Mathematics Participation (N = 1,518 students from 34 schools), we investigated the effects of pure and applied mathematics courses on mathematics achievement, controlling for prior mathematics achievement. Results of multilevel modelling showed that the effects of pure mathematics were significant after…

Regularization methods in Banach spaces

CERN Document Server

Schuster, Thomas; Hofmann, Bernd; Kazimierski, Kamil S

2012-01-01

Regularization methods aimed at finding stable approximate solutions are a necessary tool to tackle inverse and ill-posed problems. Usually the mathematical model of an inverse problem consists of an operator equation of the first kind and often the associated forward operator acts between Hilbert spaces. However, for numerous problems the reasons for using a Hilbert space setting seem to be based rather on conventions than on an approprimate and realistic model choice, so often a Banach space setting would be closer to reality. Furthermore, sparsity constraints using general Lp-norms or the B

Mathematical models of decision making on space vehicle motion control at fuzzy conditions

International Nuclear Information System (INIS)

Arslanov, M.Z.; Ismail, E.E.; Oryspaev, D.O.

2005-01-01

the structure of decision making for control of spacecraft motion is considered. Mathematical models of decision making problems are investigated. New methods of criteria convolution are received. New convolution have properties of smoothness. (author)

Pengembangan LKS Untuk Melatih Kemampuan Berpikir Kritis dalam Mata Pelajaran Matematika di Kelas VII SMP

Directory of Open Access Journals (Sweden)

Puji Astuti

2017-10-01

Full Text Available Tujuan pembelajaran matematika adalah untuk melatih siswa berpikir kritis. Oleh karena itu, perlu dikembangkan Lembar Kerja Siswa (LKS untuk melatih kemampuan berpikir kritis siswa. Penelitian ini bertujuan untuk menghasilkan LKS yang berkarakteristik untuk melatih kemampuan berpikir kritis siswa kelas VII SMP. Sampel pada penelitian ini adalah kelas VII7 berjumlah 30 siswa semester II SMP Negeri 9 Palembang. Metode penelitian yang digunakan adalah metode penelitian pengembangan yang terdiri dari analisis, desain, evaluasi dan revisi. Pengumpulan data dilakukan dengan cara prototyping.  Prototyping dilakukan untuk mengetahui bagaimana karakteristik LKS untuk melatih kemampuan berpikir kritis siswa kelas VII SMP. Hasil penelitian ini adalah karakteristik LKS untuk melatih kemampuan berpikir kritis siswa kelas VII SMP. Kata kunci: Kemampuan berpikir kritis, Lembar Kerja Siswa    Mathematics learning aims to develop students critical thinking. Therefore, it is necessary to develop Student Worksheet to train students' critical thinking skills. This research aims to develop student worksheet that has characteristics of critical thinking skill for 7th grade Junior High School students (SMP. The sample in this research is VII7 class with 30 students of the second semester of SMP Negeri 9 Palembang. The research method used is a development research method that consists of analysis, design, evaluation and revision. Data collection is done by prototyping. Prototyping was used to find out how the characteristics of student worksheet to develop critical thinking ability of grade  7th students. The result of this research is characteristic of student worksheet to develop critical thinking ability of 7th grade Junior High School student. Keywords: critical thinking ability, student worksheet

Mathematics Curriculum, the Philosophy of Mathematics and its ...

African Journals Online (AJOL)

It is my observation that the current school mathematics curriculum in Ethiopia is not producing competent mathematics students. Many mathematicians in Ethiopia and other part of the world have often expressed grief that the majority of students do not understand mathematical concepts, or do not see why mathematical ...

Sharp Embeddings of Besov Spaces with Logarithmic Smoothness

Czech Academy of Sciences Publication Activity Database

Gurka, P.; Opic, Bohumír

2005-01-01

Roč. 18, č. 1 (2005), s. 81-110 ISSN 1139-1138 R&D Projects: GA ČR(CZ) GA201/01/0333 Institutional research plan: CEZ:AV0Z10190503 Keywords : Besov spaces wirh logarithmic smoothness * Lorentz-Zygmund spaces * sharp embeddings Subject RIV: BA - General Mathematics

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

Science.gov (United States)

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)

Finite Mathematics and Discrete Mathematics: Is There a Difference?

Science.gov (United States)

Johnson, Marvin L.

Discrete mathematics and finite mathematics differ in a number of ways. First, finite mathematics has a longer history and is therefore more stable in terms of course content. Finite mathematics courses emphasize certain particular mathematical tools which are useful in solving the problems of business and the social sciences. Discrete mathematics…

Optimality of embeddings of Bessel-potential-type spaces into Lorentz-Karamata spaces

Czech Academy of Sciences Publication Activity Database

Gogatishvili, Amiran; Opic, Bohumír; Neves, J. S.

2004-01-01

Roč. 134, č. 6 (2004), s. 1127-1147 ISSN 0308-2105 R&D Projects: GA ČR GA201/01/0333 Institutional research plan: CEZ:AV0Z1019905 Keywords : slowly varying functions * Lorentz-Karamata spaces * Bessel potentials Subject RIV: BA - General Mathematics Impact factor: 0.487, year: 2004

Mathematical Intelligence and Mathematical Creativity: A Causal Relationship

Science.gov (United States)

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…

Compact and continuous embeddings of logarithmic Bessel potential spaces

Czech Academy of Sciences Publication Activity Database

Edmunds, D. E.; Gurka, P.; Opic, Bohumír

2005-01-01

Roč. 168, č. 3 (2005), s. 229-250 ISSN 0039-3223 R&D Projects: GA ČR(CZ) GA201/01/0333 Institutional research plan: CEZ:AV0Z10190503 Keywords : Bessel potential spaces * spaces of Hölder-continuous functions * Lorentz-Zygmund spaces Subject RIV: BA - General Mathematics Impact factor: 0.538, year: 2005

Embeddings between weighted Copson and Cesaro function spaces

Czech Academy of Sciences Publication Activity Database

Gogatishvili, Amiran; Mustafayev, R.Ch.; Ünver, T.

2017-01-01

Roč. 67, č. 4 (2017), s. 1005-1132 ISSN 0011-4642 R&D Projects: GA ČR GA13-14743S Institutional support: RVO:67985840 Keywords : Cesaro and Copson function spaces * embedding * iterated Hardy inequalities Subject RIV: BA - General Mathematics OBOR OECD: Pure mathematics Impact factor: 0.364, year: 2016 https://link.springer.com/article/10.21136/CMJ.2017.0424-16

Free locally convex spaces with a small base

Czech Academy of Sciences Publication Activity Database

Gabriyelyan, S.; Kąkol, Jerzy

2017-01-01

Roč. 111, č. 2 (2017), s. 575-585 ISSN 1578-7303 R&D Projects: GA ČR GF16-34860L Institutional support: RVO:67985840 Keywords : compact resolution * free locally convex space * G-base Subject RIV: BA - General Mathematics OBOR OECD: Pure mathematics Impact factor: 0.690, year: 2016 http://link.springer.com/article/10.1007%2Fs13398-016-0315-1

On a certain generalization of W-spaces

Czech Academy of Sciences Publication Activity Database

Doležal, Martin; Moors, W. B.

2017-01-01

Roč. 231, 1 November (2017), s. 1-9 ISSN 0166-8641 R&D Projects: GA ČR(CZ) GA17-27844S EU Projects: European Commission(XE) 318910 - AOS Institutional support: RVO:67985840 Keywords : topological games * Baire spaces * semitopological groups * separate continuity Subject RIV: BA - General Mathematics OBOR OECD: Pure mathematics Impact factor: 0.377, year: 2016 http://www.sciencedirect.com/science/article/pii/S0166864117304406?via%3Dihub

Free loop spaces and cyclohedra

Czech Academy of Sciences Publication Activity Database

Markl, Martin

2003-01-01

Roč. 71, - (2003), s. 151-157 R&D Projects: GA AV ČR IAA1019203 Institutional research plan: CEZ:AV0Z1019905; CEZ:AV0Z1019905 Keywords : cyclohedron * free loop space * recognition Subject RIV: BA - General Mathematics

Proceedings – Mathematical Sciences | Indian Academy of Sciences

Indian Academy of Sciences (India)

The discreteness of isometry groups in complex hyperbolic space is a fundamental problem. In this paper, the discreteness criteria of a -dimensional subgroup of S U ( n , 1 ) are investigated by using a test map which may not be in . Author Affiliations. Huani Qin1 2 Yueping Jiang1. College of Applied Mathematics, ...

Mathematical methods in quantum and statistical mechanics

International Nuclear Information System (INIS)

Fishman, L.

1977-01-01

The mathematical structure and closed-form solutions pertaining to several physical problems in quantum and statistical mechanics are examined in some detail. The J-matrix method, introduced previously for s-wave scattering and based upon well-established Hilbert Space theory and related generalized integral transformation techniques, is extended to treat the lth partial wave kinetic energy and Coulomb Hamiltonians within the context of square integrable (L 2 ), Laguerre (Slater), and oscillator (Gaussian) basis sets. The theory of relaxation in statistical mechanics within the context of the theory of linear integro-differential equations of the Master Equation type and their corresponding Markov processes is examined. Several topics of a mathematical nature concerning various computational aspects of the L 2 approach to quantum scattering theory are discussed

Axiomatics of uniform space-time models

International Nuclear Information System (INIS)

Levichev, A.V.

1983-01-01

The mathematical statement of space-time axiomatics of the special theory of relativity is given; it postulates that the space-time M is the binding single boundary Hausedorf local-compact four-dimensional topological space with the given order. The theorem is proved: if the invariant order in the four-dimensional group M is given by the semi-group P, which contingency K contains inner points , then M is commutative. The analogous theorem is correct for the group of two and three dimensionalities

Learning Mathematics for Teaching Mathematics: Non-Specialist Teachers' Mathematics Teacher Identity

Science.gov (United States)

Crisan, Cosette; Rodd, Melissa

2017-01-01

A non-specialist teacher of mathematics is a school teacher who qualified to teach in a subject other than mathematics yet teaches mathematics to students in secondary school. There is an emerging interest internationally in this population, a brief report of which is given in the paper. Because of concerns about the quality of non-specialists'…

Quasi-Banach spaces of almost universal disposition

Czech Academy of Sciences Publication Activity Database

Sánchez, C. F.; Garbulińska, J.; Kubiś, Wieslaw

2014-01-01

Roč. 267, č. 3 (2014), s. 744-771 ISSN 0022-1236 R&D Projects: GA ČR(CZ) GAP201/12/0290 Institutional support: RVO:67985840 Keywords : p-Gurarii space * space of universal disposition * isometry Subject RIV: BA - General Mathematics Impact factor: 1.322, year: 2014 http://www.sciencedirect.com/science/article/pii/S0022123614002043

Mathematical Methods in Tomography

CERN Document Server

Louis, Alfred; Natterer, Frank

1991-01-01

The conference was devoted to the discussion of present and future techniques in medical imaging, including 3D x-ray CT, ultrasound and diffraction tomography, and biomagnetic ima- ging. The mathematical models, their theoretical aspects and the development of algorithms were treated. The proceedings contains surveys on reconstruction in inverse obstacle scat- tering, inversion in 3D, and constrained least squares pro- blems.Research papers include besides the mentioned imaging techniques presentations on image reconstruction in Hilbert spaces, singular value decompositions, 3D cone beam recon- struction, diffuse tomography, regularization of ill-posed problems, evaluation reconstruction algorithms and applica- tions in non-medical fields. Contents: Theoretical Aspects: J.Boman: Helgason' s support theorem for Radon transforms-a newproof and a generalization -P.Maass: Singular value de- compositions for Radon transforms- W.R.Madych: Image recon- struction in Hilbert space -R.G.Mukhometov: A problem of in- teg...

Crossroads in the History of Mathematics and Mathematics Education. The Montana Mathematics Enthusiast: Monograph Series in Mathematics Education

Science.gov (United States)

Sriraman, Bharath, Ed.

2012-01-01

The interaction of the history of mathematics and mathematics education has long been construed as an esoteric area of inquiry. Much of the research done in this realm has been under the auspices of the history and pedagogy of mathematics group. However there is little systematization or consolidation of the existing literature aimed at…

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...

Embeddings of Lorentz-type spaces involving weighted integral means

Czech Academy of Sciences Publication Activity Database

Gogatishvili, Amiran; Křepela, M.; Pick, L.; Soudský, F.

2017-01-01

Roč. 273, č. 9 (2017), s. 2939-2980 ISSN 0022-1236 R&D Projects: GA ČR GA13-14743S Institutional support: RVO:67985840 Keywords : classical Lorentz spaces * embeddings * iterated operators Subject RIV: BA - General Mathematics OBOR OECD: Pure mathematics Impact factor: 1.254, year: 2016 http://www.sciencedirect.com/science/article/pii/S0022123617302252

Mathematical Literacy: A new literacy or a new mathematics?

Directory of Open Access Journals (Sweden)

Renuka Vithal

2006-10-01

Full Text Available Mathematical Literacy is a ‘hot’ topic at present in most countries, whether it is referred to by that name, or in some cases as Numeracy, or Quantitative Literacy, or Matheracy, or as some part of Ethnomathematics, or related to Mathematics in Society. Questions continue to be asked about what is meant by mathematics in any concept of Mathematical Literacy and the use of the very word ‘Literacy’ in its association with Mathematics has been challenged. Its importance, however, lies in changing our perspective on mathematics teaching, away from the elitism so often associated with much mathematics education, and towards a more equitable, accessible and genuinely educational ideal.

Mathematics education and the dignity of being

DEFF Research Database (Denmark)

Valero, Paola; García, Gloria; Camelo, Francisco

2012-01-01

On the grounds of our work as researchers, teacher educators and teachers engaging with a socio-political approach in mathematics education in Colombia, we propose to understand democracy in terms of the possibility of constructing a social subjectivity for the dignity of being. We address the di...... of territorialisation, and Latin American epistemology with the notion of intimate space as an important element of social subjectivity....

The Relationship of Mathematics Anxiety and Mathematical Knowledge to the Learning of Mathematical Pedagogy by Preservice Elementary Teachers.

Science.gov (United States)

Battista, Michael T.

1986-01-01

Examined how preservice elementary teachers' (N=38) mathematical knowledge and mathematics anxiety affect their success in a mathematics methods course. Also examined the hypothesis that a mathematics methods course can reduce the mathematics anxiety of these teachers. One finding is that mathematics anxiety does not inhibit their learning of…

The Relationships among Mathematics Teaching Efficacy, Mathematics Self-Efficacy, and Mathematical Beliefs for Elementary Pre-Service Teachers

Science.gov (United States)

Briley, Jason S.

2012-01-01

Ninety-five elementary pre-service teachers enrolled in a mathematics content course for elementary school teachers completed 3 surveys to measure mathematics teaching efficacy, mathematics self-efficacy, and mathematical beliefs. The pre-service teachers who reported stronger beliefs in their capabilities to teach mathematics effectively were…

On linearity of pan-integral and pan-integrable functions space

Czech Academy of Sciences Publication Activity Database

Ouyang, Y.; Li, J.; Mesiar, Radko

2017-01-01

Roč. 90, č. 1 (2017), s. 307-318 ISSN 0888-613X Institutional support: RVO:67985556 Keywords : linearity * monotone measure * Pan-integrable space Subject RIV: BA - General Mathematics OBOR OECD: Pure mathematics Impact factor: 2.845, year: 2016 http://library.utia.cas.cz/separaty/2017/E/mesiar-0477549.pdf

Multi-Scale Singularity Trees: Soft-Linked Scale-Space Hierarchies

DEFF Research Database (Denmark)

Somchaipeng, Kerawit; Sporring, Jon; Kreiborg, Sven

2005-01-01

We consider images as manifolds embedded in a hybrid of a high dimensional space of coordinates and features. Using the proposed energy functional and mathematical landmarks, images are partitioned into segments. The nesting of image segments occurring at catastrophe points in the scale-space is ...

Multipliers for continuous frames in Hilbert spaces

International Nuclear Information System (INIS)

Balazs, P; Bayer, D; Rahimi, A

2012-01-01

In this paper, we examine the general theory of continuous frame multipliers in Hilbert space. These operators are a generalization of the widely used notion of (discrete) frame multipliers. Well-known examples include anti-Wick operators, STFT multipliers or Calderón–Toeplitz operators. Due to the possible peculiarities of the underlying measure spaces, continuous frames do not behave quite as their discrete counterparts. Nonetheless, many results similar to the discrete case are proven for continuous frame multipliers as well, for instance compactness and Schatten-class properties. Furthermore, the concepts of controlled and weighted frames are transferred to the continuous setting. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to ‘Coherent states: mathematical and physical aspects’. (paper)

Mathematical modelling

DEFF Research Database (Denmark)

Blomhøj, Morten

2004-01-01

Developing competences for setting up, analysing and criticising mathematical models are normally seen as relevant only from and above upper secondary level. The general belief among teachers is that modelling activities presuppose conceptual understanding of the mathematics involved. Mathematical...... roots for the construction of important mathematical concepts. In addition competences for setting up, analysing and criticising modelling processes and the possible use of models is a formative aim in this own right for mathematics teaching in general education. The paper presents a theoretical...... modelling, however, can be seen as a practice of teaching that place the relation between real life and mathematics into the centre of teaching and learning mathematics, and this is relevant at all levels. Modelling activities may motivate the learning process and help the learner to establish cognitive...

The Music of Mathematics: Toward a New Problem Typology

Science.gov (United States)

Quarfoot, David

Halmos (1980) once described problems and their solutions as "the heart of mathematics". Following this line of thinking, one might naturally ask: "What, then, is the heart of problems?". In this work, I attempt to answer this question using techniques from statistics, information visualization, and machine learning. I begin the journey by cataloging the features of problems delineated by the mathematics and mathematics education communities. These dimensions are explored in a large data set of students working thousands of problems at the Art of Problem Solving, an online company that provides adaptive mathematical training for students around the world. This analysis is able to concretely show how the fabric of mathematical problems changes across different subjects, difficulty levels, and students. Furthermore, it locates problems that stand out in the crowd -- those that synergize cognitive engagement, learning, and difficulty. This quantitatively-heavy side of the dissertation is partnered with a qualitatively-inspired portion that involves human scoring of 105 problems and their solutions. In this setting, I am able to capture elusive features of mathematical problems and derive a fuller picture of the space of mathematical problems. Using correlation matrices, principal components analysis, and clustering techniques, I explore the relationships among those features frequently discussed in mathematics problems (e.g., difficulty, creativity, novelty, affective engagement, authenticity). Along the way, I define a new set of uncorrelated features in problems and use these as the basis for a New Mathematical Problem Typology (NMPT). Grounded in the terminology of classical music, the NMPT works to quickly convey the essence and value of a problem, just as terms like "etude" and "mazurka" do for musicians. Taken together, these quantitative and qualitative analyses seek to terraform the landscape of mathematical problems and, concomitantly, the current thinking

Discrete Mathematics and the Secondary Mathematics Curriculum.

Science.gov (United States)

Dossey, John

Discrete mathematics, the mathematics of decision making for finite settings, is a topic of great interest in mathematics education at all levels. Attention is being focused on resolving the diversity of opinion concerning the exact nature of the subject, what content the curriculum should contain, who should study that material, and how that…

Mathematics teachers’ reflective practice within the context of adapted lesson study

Directory of Open Access Journals (Sweden)

Barbara Posthuma

2012-11-01

Full Text Available There seems to be paucity of research in South Africa on mathematics teachers’ reflective practice. In order to study this phenomenon, the context of lesson study (in an adapted form was introduced to five mathematics teachers in a rural school in the Free State. The purpose was to investigate their reflective practice whilst they collaboratively planned mathematics lessons and reflected on the teaching of the lessons. Data were obtained through interviews, video-recorded lesson observations, field notes taken during the lesson study group meetings and document analyses (lesson plans and reflective writings. The adapted lesson study context provided a safe space for teachers to reflect on their teaching and they reported an increase in self-knowledge and finding new ways of teaching mathematics to learners. This finding has some potential value for planning professional learning programmes in which teachers are encouraged to talk about their classroom experiences, share their joys and challenges with one another and strive to build a community of reflective practitioners to enhance their learners’ understanding of mathematics.

Excel2Genie: A Microsoft Excel application to improve the flexibility of the Genie-2000 Spectroscopic software

International Nuclear Information System (INIS)

Forgács, Attila; Balkay, László; Trón, Lajos; Raics, Péter

2014-01-01

Excel2Genie, a simple and user-friendly Microsoft Excel interface, has been developed to the Genie-2000 Spectroscopic Software of Canberra Industries. This Excel application can directly control Canberra Multichannel Analyzer (MCA), process the acquired data and visualize them. Combination of Genie-2000 with Excel2Genie results in remarkably increased flexibility and a possibility to carry out repetitive data acquisitions even with changing parameters and more sophisticated analysis. The developed software package comprises three worksheets: display parameters and results of data acquisition, data analysis and mathematical operations carried out on the measured gamma spectra. At the same time it also allows control of these processes. Excel2Genie is freely available to assist gamma spectrum measurements and data evaluation by the interested Canberra users. With access to the Visual Basic Application (VBA) source code of this application users are enabled to modify the developed interface according to their intentions. - Highlights: • User-friendly Microsoft Excel interface to the Genie-2000 Spectroscopic software. • Data acquisitions with changing parameters and sophisticated data analysis. • Three worksheets: data acquisition, data analysis and mathematical operations on spectra. • The source code is freely available

Meeting in mathematics

DEFF Research Database (Denmark)

Mogensen, Arne; Georgiev, Vladimir; Ulovec, Andreas

To encourage many more young people to appreciate the real nature and spirit of mathematics and possibly to be enrolled in mathematics study it is important to involve them in doing mathematics (not just learning about mathematics). This goal could be achieved if mathematics teachers are prepared...... to identify and work with mathematically gifted students (without loosing the rest). The book offers chapters on gifted students, mathematical competences and other issues....

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

Project LAUNCH: Bringing Space into Math and Science Classrooms

Science.gov (United States)

Fauerbach, M.; Henry, D. P.; Schmidt, D. L.

2005-01-01

Project LAUNCH is a K-12 teacher professional development program, which has been created in collaboration between the Whitaker Center for Science, Mathematics and Technology Education at Florida Gulf Coast University (FGCU), and the Florida Space Research Institute (FSRI). Utilizing Space as the overarching theme it is designed to improve mathematics and science teaching, using inquiry based, hands-on teaching practices, which are aligned with Florida s Sunshine State Standards. Many students are excited about space exploration and it provides a great venue to get them involved in science and mathematics. The scope of Project LAUNCH however goes beyond just providing competency in the subject area, as pedagogy is also an intricate part of the project. Participants were introduced to the Conceptual Change Model (CCM) [1] as a framework to model good teaching practices. As the CCM closely follows what scientists call the scientific process, this teaching method is also useful to actively engage institute participants ,as well as their students, in real science. Project LAUNCH specifically targets teachers in low performing, high socioeconomic schools, where the need for skilled teachers is most critical.

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

International note: Are Emirati parents' attitudes toward mathematics linked to their adolescent children's attitudes toward mathematics and mathematics achievement?

Science.gov (United States)

Areepattamannil, Shaljan; Khine, Myint Swe; Melkonian, Michael; Welch, Anita G; Al Nuaimi, Samira Ahmed; Rashad, Fatimah F

2015-10-01

Drawing on data from the 2012 Program for International Student Assessment (PISA) and employing multilevel modeling as an analytic strategy, this study examined the relations of adolescent children's perceptions of their parents' attitudes towards mathematics to their own attitudes towards mathematics and mathematics achievement among a sample of 5116 adolescents from 384 schools in the United Arab Emirates. The results of this cross-sectional study revealed that adolescents who perceived that their parents liked mathematics and considered mathematics was important for their children not only to study but also for their career tended to report higher levels of intrinsic and instrumental motivation to learn mathematics, mathematics self-concept and self-efficacy, and mathematics work ethic. Moreover, adolescents who perceived that their parents liked mathematics and considered mathematics was important for their children's career tended to report positive intentions and behaviors toward mathematics. However, adolescents who perceived that their parents considered mathematics was important for their children's career tended to report higher levels of mathematics anxiety. Finally, adolescents who perceived that their parents considered mathematics was important for their children to study performed significantly better on the mathematics assessment than did their peers whose parents disregarded the importance of learning mathematics. Copyright © 2015 The Foundation for Professionals in Services for Adolescents. Published by Elsevier Ltd. All rights reserved.

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.

The Relationships among Pre-Service Mathematics Teachers' Beliefs about Mathematics, Mathematics Teaching, and Use of Technology in China

Science.gov (United States)

Yang, Xinrong; Leung, Frederick K. S.

2015-01-01

This paper investigated pre-service mathematics teachers' mathematics beliefs, beliefs about information and communication technology (ICT), and their relationships. 787 pre-service mathematics teachers in China completed a survey questionnaire measuring their beliefs about the nature of mathematics, beliefs about mathematics learning and…

Fundamental geodesic deformations in spaces of treelike shapes

DEFF Research Database (Denmark)

Feragen, Aasa; Lauze, Francois Bernard; Nielsen, Mads

2010-01-01

This paper presents a new geometric framework for analysis of planar treelike shapes for applications such as shape matching, recognition and morphology, using the geometry of the space of treelike shapes. Mathematically, the shape space is given the structure of a stratified set which...... is a quotient of a normed vector space with a metric inherited from the vector space norm. We give examples of geodesic paths in tree-space corresponding to fundamental deformations of small trees, and discuss how these deformations are key building blocks for understanding deformations between larger trees....

Mathematics without boundaries surveys in pure mathematics

CERN Document Server

Pardalos, Panos

2014-01-01

The contributions in this volume have been written by eminent scientists from the international mathematical community and present significant advances in several theories, methods and problems of Mathematical Analysis, Discrete Mathematics, Geometry and their Applications. The chapters focus on both old and recent developments in Functional Analysis, Harmonic Analysis, Complex Analysis, Operator Theory, Combinatorics, Functional Equations, Differential Equations as well as a variety of Applications. The book also contains some review works, which could prove particularly useful for a broader audience of readers in Mathematical Sciences, and especially to graduate students looking for the  latest information.

International Conference on Recent Trends in Mathematical Analysis and its Applications 2014

CERN Document Server

Mohapatra, R; Singh, Uaday; Srivastava, H

2015-01-01

This book discusses recent developments in and the latest research on mathematics, statistics and their applications. All contributing authors are eminent academics, scientists, researchers and scholars in their respective fields, hailing from around the world. The book presents roughly 60 unpublished, high-quality and peer-reviewed research papers that cover a broad range of areas including approximation theory, harmonic analysis, operator theory, fixed-point theory, functional differential equations, dynamical and control systems, complex analysis, special functions, function spaces, summability theory, Fourier and wavelet analysis, and numerical analysis – all of which are topics of great interest to the research community – while further papers highlight important applications of mathematical analysis in science, engineering and related areas. This conference aims at bringing together experts and young researchers in mathematics from all over the world to discuss the latest advances in mathematical an...

Pre-Service Teachers' Mathematics Self-Efficacy and Mathematics Teaching Self-Efficacy

Science.gov (United States)

Zuya, Habila Elisha; Kwalat, Simon Kevin; Attah, Bala Galle

2016-01-01

Pre-service mathematics teachers' mathematics self-efficacy and mathematics teaching self-efficacy were investigated in this study. The purpose was to determine the confidence levels of their self-efficacy in mathematics and mathematics teaching. Also, the study was aimed at finding whether their mathematics self-efficacy and teaching…

Mathematics Teachers' Perceptions of Their Students' Mathematical Competence: Relations to Mathematics Achievement, Affect, and Engagement in Singapore and Australia

Science.gov (United States)

Areepattamannil, Shaljan; Kaur, Berinderjeet

2013-01-01

This study, drawing on data from the Trends in International Mathematics and Science Study (TIMSS) 2011, examined whether mathematics teachers' perceptions of their students' mathematical competence were related to mathematics achievement, affect toward mathematics, and engagement in mathematics lessons among Grade 8 students in Singapore and…

Mathematics education a spectrum of work in mathematical sciences departments

CERN Document Server

Hsu, Pao-sheng; Pollatsek, Harriet

2016-01-01

Many in the mathematics community in the U.S. are involved in mathematics education in various capacities. This book highlights the breadth of the work in K-16 mathematics education done by members of US departments of mathematical sciences. It contains contributions by mathematicians and mathematics educators who do work in areas such as teacher education, quantitative literacy, informal education, writing and communication, social justice, outreach and mentoring, tactile learning, art and mathematics, ethnomathematics, scholarship of teaching and learning, and mathematics education research. Contributors describe their work, its impact, and how it is perceived and valued. In addition, there is a chapter, co-authored by two mathematicians who have become administrators, on the challenges of supporting, evaluating, and rewarding work in mathematics education in departments of mathematical sciences. This book is intended to inform the readership of the breadth of the work and to encourage discussion of its val...

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.

Interactive Design and Visualization of Branched Covering Spaces.

Science.gov (United States)

Roy, Lawrence; Kumar, Prashant; Golbabaei, Sanaz; Zhang, Yue; Zhang, Eugene

2018-01-01

Branched covering spaces are a mathematical concept which originates from complex analysis and topology and has applications in tensor field topology and geometry remeshing. Given a manifold surface and an -way rotational symmetry field, a branched covering space is a manifold surface that has an -to-1 map to the original surface except at the ramification points, which correspond to the singularities in the rotational symmetry field. Understanding the notion and mathematical properties of branched covering spaces is important to researchers in tensor field visualization and geometry processing, and their application areas. In this paper, we provide a framework to interactively design and visualize the branched covering space (BCS) of an input mesh surface and a rotational symmetry field defined on it. In our framework, the user can visualize not only the BCSs but also their construction process. In addition, our system allows the user to design the geometric realization of the BCS using mesh deformation techniques as well as connecting tubes. This enables the user to verify important facts about BCSs such as that they are manifold surfaces around singularities, as well as the Riemann-Hurwitz formula which relates the Euler characteristic of the BCS to that of the original mesh. Our system is evaluated by student researchers in scientific visualization and geometry processing as well as faculty members in mathematics at our university who teach topology. We include their evaluations and feedback in the paper.

The Mathematical Formalism of a Particle in a Magnetic Field

CERN Document Server

Mantoiu, M

2005-01-01

In this review article we develop a basic part of the mathematical theory involved in the description of a particle (classical and quantal) placed in the Euclidean space $\\mathbb R^N$ under the influence of a magnetic field $B$, emphasising the structure of the family of observables.

Mathematical Modeling in Mathematics Education: Basic Concepts and Approaches

Science.gov (United States)

Erbas, Ayhan Kürsat; Kertil, Mahmut; Çetinkaya, Bülent; Çakiroglu, Erdinç; Alacaci, Cengiz; Bas, Sinem

2014-01-01

Mathematical modeling and its role in mathematics education have been receiving increasing attention in Turkey, as in many other countries. The growing body of literature on this topic reveals a variety of approaches to mathematical modeling and related concepts, along with differing perspectives on the use of mathematical modeling in teaching and…

Remarks on Gurariĭ spaces

Czech Academy of Sciences Publication Activity Database

Garbulińska, J.; Kubiś, Wieslaw

2011-01-01

Roč. 26, č. 2 (2011), s. 235-269 ISSN 0213-8743 Institutional research plan: CEZ:AV0Z10190503 Keywords : Gurarii space * almost linear isometry Subject RIV: BA - General Mathematics http://www.eweb.unex.es/eweb/extracta/Vol-26-2/abstract_26J2Kubis.pdf

Benchmarks of programming languages for special purposes in the space station

Science.gov (United States)

Knoebel, Arthur

1986-01-01

Although Ada is likely to be chosen as the principal programming language for the Space Station, certain needs, such as expert systems and robotics, may be better developed in special languages. The languages, LISP and Prolog, are studied and some benchmarks derived. The mathematical foundations for these languages are reviewed. Likely areas of the space station are sought out where automation and robotics might be applicable. Benchmarks are designed which are functional, mathematical, relational, and expert in nature. The coding will depend on the particular versions of the languages which become available for testing.

Solusi Numerik Metode Beda Hingga Aplikasi Excel Untuk Solusi Lendutan Balok Beton Sederhana

Directory of Open Access Journals (Sweden)

Wahyo Hendarto Yoh

2017-06-01

Full Text Available The use of worksheets in Excel is one of the tools for  learning in solving  the mathematical problems.  At generaly the  solution of mathematical problem ussually is solved by the soft ware aplication, that sure  used  high  level programming languages like FORTRAN, BASIC, C++, MATLAB, etc. However  the use of   worksheet in Excel rather more familiar than using the software aplication for the students. It is caused  the students must be able to know  how  to write the code program that obtained product the listing program.  One of the  most  problematic on civil engineering is about concrete beam structure deflection.   The mathematical analysis simple  beam structure deflection is presented by the ordinary differential equation second order non  linier and the other name  it’s called poisson equation.   The  aim of this article  for : (1 To give the learning assistance to the student  when they aren’t use the soft  ware program and beside to rise creation  the application spreadsheet as tool for numerical  solution by finite difference   method on simple beam deflection. (2 To evaluate the error result comparation of numeric solution and analytic  solution.(3To give the understanding  about numerical method that accordance with simple beam deflection problem on civil engineering education  and mathematical education. Keywords:  Fungsi Internal EXCEL, Metode Beda Hingga. Persamaan Garis Elastika.

An introduction to the mathematical theory of finite elements

CERN Document Server

Oden, J T

2011-01-01

This introduction to the theory of Sobolev spaces and Hilbert space methods in partial differential equations is geared toward readers of modest mathematical backgrounds. It offers coherent, accessible demonstrations of the use of these techniques in developing the foundations of the theory of finite element approximations.J. T. Oden is Director of the Institute for Computational Engineering & Sciences (ICES) at the University of Texas at Austin, and J. N. Reddy is a Professor of Engineering at Texas A&M University. They developed this essentially self-contained text from their seminars and co

Using Mathematics in Science: Working with Your Mathematics Department

Science.gov (United States)

Lyon, Steve

2014-01-01

Changes to the mathematics and science curriculums are designed to increase rigour in mathematics, and place greater emphasis on mathematical content in science subjects at key stages 3, 4 and 5 (ages 11-18). One way to meet the growing challenge of providing increased emphasis on mathematics in the science curriculum is greater collaboration…

Classification of the spaces Cp*(X) within the Borel-Wadge hierarchy for a projective space X

Czech Academy of Sciences Publication Activity Database

Doležal, Martin; Vejnar, B.

2015-01-01

Roč. 183, March (2015), s. 11-17 ISSN 0166-8641 Institutional support: RVO:67985840 Keywords : function spaces * pointwise convergence * projective determinacy Subject RIV: BA - General Mathematics Impact factor: 0.493, year: 2015 http://www.sciencedirect.com/science/article/pii/S0166864114004854

Mathematical Modelling of Unmanned Aerial Vehicles with Four Rotors

Directory of Open Access Journals (Sweden)

Zoran Benić

2016-01-01

Full Text Available Mathematical model of an unmanned aerial vehicle with four propulsors (quadcopter is indispensable in quadcopter movement simulation and later modelling of the control algorithm. Mathematical model is, at the same time, the first step in comprehending the mathematical principles and physical laws which are applied to the quadcopter system. The objective is to define the mathematical model which will describe the quadcopter behavior with satisfactory accuracy and which can be, with certain modifications, applicable for the similar configurations of multirotor aerial vehicles. At the beginning of mathematical model derivation, coordinate systems are defined and explained. By using those coordinate systems, relations between parameters defined in the earth coordinate system and in the body coordinate system are defined. Further, the quadcopter kinematic is described which enables setting those relations. Also, quadcopter dynamics is used to introduce forces and torques to the model through usage of Newton-Euler method. Final derived equation is Newton’s second law in the matrix notation. For the sake of model simplification, hybrid coordinate system is defined, and quadcopter dynamic equations derived with the respect to it. Those equations are implemented in the simulation. Results of behavior of quadcopter mathematical model are graphically shown for four cases. For each of the cases the propellers revolutions per minute (RPM are set in a way that results in the occurrence of the controllable variables which causes one of four basic quadcopter movements in space.

Variational analysis and aerospace engineering mathematical challenges for the aerospace of the future

CERN Document Server

Mohammadi, Bijan; Pironneau, Olivier; Cipolla, Vittorio

2016-01-01

This book presents papers surrounding the extensive discussions that took place from the ‘Variational Analysis and Aerospace Engineering’ workshop held at the Ettore Majorana Foundation and Centre for Scientific Culture in 2015. Contributions to this volume focus on advanced mathematical methods in aerospace engineering and industrial engineering such as computational fluid dynamics methods, optimization methods in aerodynamics, optimum controls, dynamic systems, the theory of structures, space missions, flight mechanics, control theory, algebraic geometry for CAD applications, and variational methods and applications. Advanced graduate students, researchers, and professionals in mathematics and engineering will find this volume useful as it illustrates current collaborative research projects in applied mathematics and aerospace engineering.

Cultivating Mathematics in an International Space: Roles of Gösta Mittag-Leffler in the Development and Internationalization of Mathematics in Sweden and Beyond, 1880-1920

DEFF Research Database (Denmark)

Turner, Laura

2011-01-01

This thesis aims to investigate several areas of mathematical activity undertaken by the Swedish mathematician Gösta Mittag-Leffler (1846-1927). These not only markedly impacted the development of mathematics in Stockholm, where they were centred, but transformed, by virtue of their roots in both...... the foundation of the Scandinavian Congress of Mathematicians (1909) according to a belief that cultural solidarity would both enrich each country involved and afford a united group more clout than could be gained by each of the small nations alone. By analyzing Mittag-Leffler's strategies and tactics...

The pragmatics of mathematics education vagueness and mathematical discourse

CERN Document Server

Rowland, Tim

2003-01-01

Drawing on philosophy of language and recent linguistic theory, Rowland surveys several approaches to classroom communication in mathematics. Are students intimidated by the nature of mathematics teaching? Many students appear fearful of voicing their understanding - is fear of error part of the linguistics of mathematics? The approaches explored here provide a rationale and a method for exploring and understanding speakers'' motives in classroom mathematics talk. Teacher-student interactions in mathematics are analysed, and this provides a toolkit that teachers can use to respond to the intellectual vulnerability of their students.

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...

Measurement and the mathematical apparatus of quantum physics

International Nuclear Information System (INIS)

Slavnov, D.A.

2007-01-01

A scheme for constructing quantum mechanics in which the Hilbert space and linear operators are not primary elements on the theory is described. Some variant of the algebraic approach is instead considered. The elements of a noncommutative algebra (observables) and functionals in this algebra serve as the primary components of the theory. Such a scheme allows one to use the formalism of the classical (Kolmogorovian) theory of probability, and to reproduce the mathematical formalism of standard quantum mechanics and to specify borders of its applicability. A brief review of necessary data from the theory of algebras and probability theory is given. The manner is described in which the considered mathematical scheme agrees with the theory of quantum measurements and allows one to avoid quantum paradoxes [ru

INTERSUBJECT CONNECTIONS OF COURSE OF MATHEMATICAL LOGIC AND OTHER MATHEMATICAL COURSES AT PREPARATION OF FUTURE TEACHER OF MATHEMATICS

Directory of Open Access Journals (Sweden)

Yu.I. Sinko

2012-03-01

Full Text Available In this article the interconnections of course of mathematical logic with other mathematical courses – geometry, algebra and theory of numbers, mathematical analysis, and also with the courses of mathematics teaching methodology, history of mathematics in the system of preparation of teachers of mathematics in pedagogical Institute of higher education are analyzed. The presence of connections between the elements of the system and their quality is the important description of the pedagogical system.

Mathematics Connection

African Journals Online (AJOL)

MATHEMATICS CONNECTION aims at providing a forum topromote the development of Mathematics Education in Ghana. Articles that seekto enhance the teaching and/or learning of mathematics at all levels of theeducational system are welcome.

Suited for Spacewalking: A Teacher's Guide with Activities for Technology Education, Mathematics, and Science

Science.gov (United States)

Vogt, Gregory L.; George, Jane A. (Editor)

1998-01-01

A Teacher's Guide with Activities for Technology Education, Mathematics, and Science National Aeronautics and Space Administration Office of Human Resources and Education Education Division Washington, DC Education Working Group NASA Johnson Space Center Houston, Texas This publication is in the Public Domain and is not protected by copyright. Permission is not required for duplication.

L'espace articulaire de la Robotique Industrielle est un espace vectorielIndustrial Robotics joint space is a vector space

Science.gov (United States)

Tondu, Bertrand

2003-05-01

The mathematical modelling of industrial robots is based on the vectorial nature of the n-dimensional joint space of the robot, defined as a kinematic chain with n degrees of freedom. However, in our opinion, the vectorial nature of the joint space has been insufficiently discussed in the literature. We establish the vectorial nature of the joint space of an industrial robot from the fundamental studies of B. Roth on screws. To cite this article: B. Tondu, C. R. Mecanique 331 (2003).

Mathematical Model of Plasma Space for Electronic Technologies

OpenAIRE

N.N. Chernyshov; K.T. Umyarov; D.V. Pisarenko

2014-01-01

The paper is devoted to studying the plasma used in technologies of the electronic industry. It gives the characteristic of plasma space on the basis of a system of Maxwell-Boltzmann equa-tions. Solving these equations is represented in the form of Fourier transformation and Green functions. Fluctuation-dissipative theorem and method of Longevin sources for calculating electric filed fluctua-tions are used.

Redesign of students’ worksheet on basic physics experiment based on students’ scientific process skills analysis in Melde’s law

Science.gov (United States)

Nugraha, M. G.; Utari, S.; Saepuzaman, D.; Nugraha, F.

2018-05-01

Scientific process skills (SPS) are an intellectual skill to build knowledge, solve problems scientifically, train thinking skills as well as a very important part of the inquiry process and contribute to scientific literacy. Therefore, SPS is very important to be developed. This study aims to develop Student Worksheets (SW) that can trace SPS through basic physics experiments (BPE) on Melde’s law. This research uses R&D method involving 18 physics education department students who take the BPE course as a sample. The research instrument uses an SW designed with a SPS approach that have been reviewed and judged by expert, which includes observing, communicating, classifying, measuring, inferring, predicting, identifying variable, constructing hypothesis, defining variable operationally, designing experiment, acquiring and processing data to conclusions. The result of the research shows that the student’s SPS has not been trained optimally, the students’ answers are not derived from the observations and experiments conducted but derived from the initial knowledge of the students, as well as in the determination of experimental variables, inferring and hypothesis. This result is also supported by a low increase of conceptual content on Melde’s law with n-gain of 0.40. The research findings are used as the basis for the redesign of SW.

NASA-HBCU Space Science and Engineering Research Forum Proceedings

International Nuclear Information System (INIS)

Sanders, Y.D.; Freeman, Y.B.; George, M.C.

1989-01-01

The proceedings of the Historically Black Colleges and Universities (HBCU) forum are presented. A wide range of research topics from plant science to space science and related academic areas was covered. The sessions were divided into the following subject areas: Life science; Mathematical modeling, image processing, pattern recognition, and algorithms; Microgravity processing, space utilization and application; Physical science and chemistry; Research and training programs; Space science (astronomy, planetary science, asteroids, moon); Space technology (engineering, structures and systems for application in space); Space technology (physics of materials and systems for space applications); and Technology (materials, techniques, measurements)

A mathematical nature walk

CERN Document Server

Adam, John A

2009-01-01

How heavy is that cloud? Why can you see farther in rain than in fog? Why are the droplets on that spider web spaced apart so evenly? If you have ever asked questions like these while outdoors, and wondered how you might figure out the answers, this is a book for you. An entertaining and informative collection of fascinating puzzles from the natural world around us, A Mathematical Nature Walk will delight anyone who loves nature or math or both. John Adam presents ninety-six questions about many common natural phenomena--and a few uncommon ones--and then shows how to answer them using mostly b

An excursion through elementary mathematics, volume ii euclidean geometry

CERN Document Server

Caminha Muniz Neto, Antonio

2018-01-01

This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This second volume covers Plane Geometry, Trigonometry, Space Geometry, Vectors in the Plane, Solids and much more. As part of a collection, the book differs from other publications in this field by not being a mere selection of questions or a set of tips and tricks that applies to specific problems. It starts from the most basic theoretical principles, without being either too general or too axiomatic. Examples and problems are discussed only if they are helpful as applications of the theory. Propositions are proved in detail and subsequently applied to Olympic problems or to other problems at the Olympic level. The book also explores some of the hardest problems presented at National and International Mathematics Olympiads, as well as many...

VEDIC MATHEMATICS

Directory of Open Access Journals (Sweden)

Sead Rešić

2015-09-01

Full Text Available It is very difficult to motivate students when it comes to a school subject like Mathematics. Teachers spend a lot of time trying to find something that will arouse interest in students. It is particularly difficult to find materials that are motivating enough for students that they eagerly wait for the next lesson. One of the solutions may be found in Vedic Mathematics. Traditional methods of teaching Mathematics create fear of this otherwise interesting subject in the majority of students. Fear increases failure. Often the traditional, conventional mathematical methods consist of very long lessons which are difficult to understand. Vedic Mathematics is an ancient system that is very flexible and encourages the development of intuition and innovation. It is a mental calculating tool that does not require a calculator because the calculator is embedded in each of us. Starting from the above problems of fear and failure in Mathematics, the goal of this paper is to do research with the control and the experimental group and to compare the test results. Two tests should be done for each of the groups. The control group would do the tests in the conventional way. The experimental group would do the first test in a conventional manner and then be subjected to different treatment, that is to say, be taught on the basis of Vedic Mathematics. After that, the second group would do the second test according to the principles of Vedic Mathematics. Expectations are that after short lectures on Vedic mathematics results of the experimental group would improve and that students will show greater interest in Mathematics.

International Conference on Geometric and Harmonic Analysis on Homogeneous Spaces and Applications

CERN Document Server

Nomura, Takaaki

2017-01-01

This book provides the latest competing research results on non-commutative harmonic analysis on homogeneous spaces with many applications. It also includes the most recent developments on other areas of mathematics including algebra and geometry. Lie group representation theory and harmonic analysis on Lie groups and on their homogeneous spaces form a significant and important area of mathematical research. These areas are interrelated with various other mathematical fields such as number theory, algebraic geometry, differential geometry, operator algebra, partial differential equations and mathematical physics.  Keeping up with the fast development of this exciting area of research, Ali Baklouti (University of Sfax) and Takaaki Nomura (Kyushu University) launched a series of seminars on the topic, the first of which took place on November 2009 in Kerkennah Islands, the second in Sousse  on December 2011, and the third in Hammamet& nbsp;on December 2013. The last seminar, which took place on Dece...

The Magic of Mathematics Discovering the Spell of Mathematics

CERN Document Server

Pappas, Theoni

2011-01-01

Delves into the world of ideas, explores the spell mathematics casts on our lives, and helps you discover mathematics where you least expect it. Be spellbound by the mathematical designs found in nature. Learn how knots may untie the mysteries of life. Be mesmerized by the computer revolution. Discover how the hidden forces of mathematics hold architectural structures together connect your telephone calls help airplanes get off the ground solve the mysteries of the living cell. See how some artists use a mathematical palette in their works and how many writers draw upon the wealth of its ideas

Institutional supporting research highlights in physics and mathematics, fiscal year 1983

International Nuclear Information System (INIS)

Vigil, J.C.

1984-03-01

Highlights of FY 1983 Institutional Supporting Research and Development activities within the six Physics and Mathematics divisions and the Center for Nonlinear Studies are presented. The highlights are but a fraction of the ISRD activities in the Directorate and are intended to be a representative sample of progress in the various research areas. FY 1983 ISRD activities within the Physics and Mathematics divisions included both basic and applied research and were divided into 11 research areas: mathematics and numerical methods, low-energy nuclear physics, medium- and high-energy nuclear physics, atomic and molecular physics, solid-state physics and materials science, fluid dynamics, plasma physics and intense particle beam theory, astrophysics and space physics, particle transport methods, accelerator and fusion technology, and biophysics. Highlights from each of these areas are presented

Mathematical Formalism for an Experimental Test of Space-Time Anisotropy

International Nuclear Information System (INIS)

Voicu-Brinzei, Nicoleta; Siparov, Sergey

2010-01-01

Some specific astrophysical data collected during the last decade suggest the need of a modification of the expression for the Einstein-Hilbert action, and several attempts are known in this respect. The modification suggested in this paper stems from a possible anisotropy of space-time--which leads to a dependence on directional variables of the simplest scalar in the least action principle. In order to provide a testable support to this idea, the optic-metrical parametric resonance is regarded - an experiment on a galactic scale, based on the interaction between the electromagnetic radiation of cosmic masers and periodical gravitational waves emitted by close double systems or pulsars. Since the effect depends on the space-time metric, a possible anisotropy could be revealed through observations. We prove that if space-time is anisotropic, then the orientation of the astrophysical systems suitable for observations would show it.

Interest in mathematics and science among students having high mathematics aptitude

Science.gov (United States)

Ely, Jane Alice

The study investigates why men and women differ in their interest in mathematics and science and in the pursuit of careers in mathematics and science. The most persistent gender differential in educational standard testing is the scores in mathematics achievement. The mean Scholastic Aptitude Test (Mathematics) scores for women are consistently below that of men by about 40 points. One result of this gender differential in mathematics is that few women entertain a career requiring a robust knowledge of higher mathematics (i.e. engineering, computing, or the physical sciences). A large body of literature has been written attempting to explain why this is happening. Biological, cultural, structural and psychological explanations have been suggested and empirically examined. Controlling for mathematical ability is one method of sorting out these explanations. Eliminating mathematical ability as a factor, this dissertation reports the results of a study of men and women college students who all had high mathematics ability. Thus, any differences we found among them would have to be a result of other variables. Using a Mathematics Placement Exam and the SAT-M, forty-two students (12 males and 30 females) with high scores in both were interviewed. Student were asked about their experiences in high school and college mathematics, their career choices, and their attitudes toward mathematics. The findings, that there were no gender differences in the course selection, attitudes towards mathematics, and career choice, differed from my initial expectations. This negative finding suggests that women with high ability in mathematics are just as likely as men to pursue interests in mathematics and related courses in college and in selecting careers.

Measurements and mathematical formalism of quantum mechanics

Science.gov (United States)

Slavnov, D. A.

2007-03-01

A scheme for constructing quantum mechanics is given that does not have Hilbert space and linear operators as its basic elements. Instead, a version of algebraic approach is considered. Elements of a noncommutative algebra (observables) and functionals on this algebra (elementary states) associated with results of single measurements are used as primary components of the scheme. On the one hand, it is possible to use within the scheme the formalism of the standard (Kolmogorov) probability theory, and, on the other hand, it is possible to reproduce the mathematical formalism of standard quantum mechanics, and to study the limits of its applicability. A short outline is given of the necessary material from the theory of algebras and probability theory. It is described how the mathematical scheme of the paper agrees with the theory of quantum measurements, and avoids quantum paradoxes.

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.

Mathematical thinking styles of undergraduate students and their achievement in mathematics

Science.gov (United States)

Risnanosanti

2017-08-01

The main purpose of this study is to analyze the role of mathematical thinking styles in students' achievement in mathematics. On the basis of this study, it is also to generate recommendation for classroom instruction. The two specific aims are; first to observe students' mathematical thinking styles during problem solving, the second to asses students' achievement in mathematics. The data were collected by using Mathematical Thinking Styles questionnaires and test of students' achievement in mathematics. The subject in this study was 35 students from third year at mathematics study program of Muhammadiyah University of Bengkulu in academic year 2016/2017. The result of this study was that the students have three mathematical thinking styles (analytic, visual, and integrated), and the students who have analytic styles have better achievement than those who have visual styles in mathematics.

Quotable Quotes in Mathematics

Science.gov (United States)

Lo, Bruce W. N.

1983-01-01

As a way to dispel negative feelings toward mathematics, a variety of quotations are given. They are categorized by: what mathematics is, mathematicians, mathematics and other disciplines, different areas of mathematics, mathematics and humor, applications of mathematics, and pure versus applied mathematics. (MNS)

Elementary Mathematics Teachers' Perceptions and Lived Experiences on Mathematical Communication

Science.gov (United States)

Kaya, Defne; Aydin, Hasan

2016-01-01

Mathematical thinking skills and meaningful mathematical understanding are among the goals of current mathematics education. There is a wide consensus among scholars about the purpose of developing mathematical understanding and higher order thinking skills in students. However, how to develop those skills in classroom settings is an area that…

Deep Space Habitat Configurations Based on International Space Station Systems

Science.gov (United States)

Smitherman, David; Russell, Tiffany; Baysinger, Mike; Capizzo, Pete; Fabisinski, Leo; Griffin, Brand; Hornsby, Linda; Maples, Dauphne; Miernik, Janie

2012-01-01

A Deep Space Habitat (DSH) is the crew habitation module designed for long duration missions. Although humans have lived in space for many years, there has never been a habitat beyond low-Earth-orbit. As part of the Advanced Exploration Systems (AES) Habitation Project, a study was conducted to develop weightless habitat configurations using systems based on International Space Station (ISS) designs. Two mission sizes are described for a 4-crew 60-day mission, and a 4-crew 500-day mission using standard Node, Lab, and Multi-Purpose Logistics Module (MPLM) sized elements, and ISS derived habitation systems. These durations were selected to explore the lower and upper bound for the exploration missions under consideration including a range of excursions within the Earth-Moon vicinity, near earth asteroids, and Mars orbit. Current methods for sizing the mass and volume for habitats are based on mathematical models that assume the construction of a new single volume habitat. In contrast to that approach, this study explored the use of ISS designs based on existing hardware where available and construction of new hardware based on ISS designs where appropriate. Findings included a very robust design that could be reused if the DSH were assembled and based at the ISS and a transportation system were provided for its return after each mission. Mass estimates were found to be higher than mathematical models due primarily to the use of multiple ISS modules instead of one new large module, but the maturity of the designs using flight qualified systems have potential for improved cost, schedule, and risk benefits.

Understanding in mathematics

CERN Document Server

Sierpinska, Anna

1994-01-01

The concept of understanding in mathematics with regard to mathematics education is considered in this volume, the main problem for mathematics teachers being how to facilitate their students'' understanding of the mathematics being taught.

Figures of thought mathematics and mathematical texts

CERN Document Server

Reed, David

2003-01-01

Examines the ways in which mathematical works can be read as texts, examines their textual strategiesand demonstrates that such readings provide a rich source of philosophical debate regarding mathematics.

A short history of fractal-Cantorian space-time

International Nuclear Information System (INIS)

Marek-Crnjac, L.

2009-01-01

The article attempts to give a short historical overview of the discovery of fractal-Cantorian space-time starting from the 17th century up to the present. In the last 25 years a great number of scientists worked on fractal space-time notably Garnet Ord in Canada, Laurent Nottale in France and Mohamed El Naschie in England who gave an exact mathematical procedure for the derivation of the dimensionality and curvature of fractal space-time fuzzy manifold.

Predicting Success in College Mathematics from High School Mathematics Preparation

OpenAIRE

Shepley, Richard A.

1983-01-01

The purpose of this study was to develop a model to predict the college mathematics courses a freshman could expect to pass by considering their high school mathematics preparation. The high school information that was used consisted of the student's sex, the student's grade point average in mathematics, the highest level of high school mathematics courses taken, and the number of mathematics courses taken in high school. The high school sample was drawn from graduated Seniors in the State...

White noise calculus and Fock space

CERN Document Server

Obata, Nobuaki

1994-01-01

White Noise Calculus is a distribution theory on Gaussian space, proposed by T. Hida in 1975. This approach enables us to use pointwise defined creation and annihilation operators as well as the well-established theory of nuclear space.This self-contained monograph presents, for the first time, a systematic introduction to operator theory on fock space by means of white noise calculus. The goal is a comprehensive account of general expansion theory of Fock space operators and its applications. In particular,first order differential operators, Laplacians, rotation group, Fourier transform and their interrelations are discussed in detail w.r.t. harmonic analysis on Gaussian space. The mathematical formalism used here is based on distribution theory and functional analysis , prior knowledge of white noise calculus is not required.

Mathematical Chemistry

OpenAIRE

Trinajstić, Nenad; Gutman, Ivan

2002-01-01

A brief description is given of the historical development of mathematics and chemistry. A path leading to the meeting of these two sciences is described. An attempt is made to define mathematical chemistry, and journals containing the term mathematical chemistry in their titles are noted. In conclusion, the statement is made that although chemistry is an experimental science aimed at preparing new compounds and materials, mathematics is very useful in chemistry, among other things, to produc...

Elementary Pre-Service Teachers' Mathematics Anxiety and Mathematics Teaching Anxiety

Science.gov (United States)

Haciomeroglu, Guney

2014-01-01

The present study examined the structure of elementary pre-service teachers' mathematics anxiety and mathematics teaching anxiety by asking whether the two systems of anxiety are related. The Turkish Mathematics Anxiety Rating Scale Short Version and the Mathematics Teaching Anxiety Scale were administered to 260 elementary pre-service teachers.…

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.

Should I take Further Mathematics? Physics undergraduates’ experiences of post-compulsory Mathematics

Science.gov (United States)

Bowyer, Jessica; Darlington, Ellie

2017-01-01

It is essential that physics undergraduates are appropriately prepared for the mathematical demands of their course. This study investigated physics students’ perceptions of post-compulsory mathematics as preparation for their degree course. 494 physics undergraduates responded to an online questionnaire about their experiences of A-level Mathematics and Further Mathematics. The findings suggest that physics undergraduates would benefit from studying Further Mathematics and specialising in mechanics during their A-level studies. As both A-level Mathematics and Further Mathematics are being reformed, universities should look closely at the benefits of Further Mathematics as preparation for their physics courses and either increase their admissions requirements, or recommend that students take Further Mathematics.

New Avenues for History in Mathematics Education: Mathematical Competencies and Anchoring

DEFF Research Database (Denmark)

Jankvist, U. T.; Kjeldsen, T. H.

2011-01-01

. The first scenario occurs when history is used as a ‘tool’ for the learning and teaching of mathematics, the second when history of mathematics as a ‘goal’ is pursued as an integral part of mathematics education. We introduce a multiple-perspective approach to history, and suggest that research on history......The paper addresses the apparent lack of impact of ‘history in mathematics education’ in mathematics education research in general, and proposes new avenues for research. We identify two general scenarios of integrating history in mathematics education that each gives rise to different problems...... in mathematics education follows one of two different avenues in dealing with these scenarios. The first is to focus on students’ development of mathematical competencies when history is used a tool for the learning of curriculum-dictated mathematical in-issues. A framework for this is described. Secondly, when...

Eigenfunction expansions and scattering theory in rigged Hilbert spaces

Energy Technology Data Exchange (ETDEWEB)

Gomez-Cubillo, F [Dpt. de Analisis Matematico, Universidad de Valladolid. Facultad de Ciencias, 47011 Valladolid (Spain)], E-mail: fgcubill@am.uva.es

2008-08-15

The work reviews some mathematical aspects of spectral properties, eigenfunction expansions and scattering theory in rigged Hilbert spaces, laying emphasis on Lippmann-Schwinger equations and Schroedinger operators.

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.

Mathematical marriages: intercourse between mathematics and Semiotic choice.

Science.gov (United States)

Wagner, Roy

2009-04-01

This paper examines the interaction between Semiotic choices and the presentation and solution of a family of contemporary mathematical problems centred around the so-called 'stable marriage problem'. I investigate how a socially restrictive choice of signs impacts mathematical production both in terms of problem formation and of solutions. I further note how the choice of gendered language ends up constructing a reality, which duplicates the very structural framework that it imported into mathematical analysis in the first place. I go on to point out some semiotic lines of flight from this interlocking grip of mathematics and gendered language.

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…

Total space in resolution

Czech Academy of Sciences Publication Activity Database

Bonacina, I.; Galesi, N.; Thapen, Neil

2016-01-01

Roč. 45, č. 5 (2016), s. 1894-1909 ISSN 0097-5397 R&D Projects: GA ČR GBP202/12/G061 EU Projects: European Commission(XE) 339691 - FEALORA Institutional support: RVO:67985840 Keywords : total space * resolution random CNFs * proof complexity Subject RIV: BA - General Mathematics Impact factor: 1.433, year: 2016 http://epubs.siam.org/doi/10.1137/15M1023269

The mathematics of some tomography algorithms used at JET

Energy Technology Data Exchange (ETDEWEB)

Ingesson, L

2000-03-01

Mathematical details are given of various tomographic reconstruction algorithms that are in use at JET. These algorithms include constrained optimization (CO) with local basis functions, the Cormack method, methods with natural basis functions and the iterative projection-space reconstruction method. Topics discussed include: derivation of the matrix equation for constrained optimization, variable grid size, basis functions, line integrals, derivative matrices, smoothness matrices, analytical expression of the CO solution, sparse matrix storage, projection-space coordinates, the Cormack method in elliptical coordinates, interpolative generalized natural basis functions and some details of the implementation of the filtered backprojection method. (author)

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

The materiality of mathematics: presenting mathematics at the blackboard.

Science.gov (United States)

Greiffenhagen, Christian

2014-09-01

Sociology has been accused of neglecting the importance of material things in human life and the material aspects of social practices. Efforts to correct this have recently been made, with a growing concern to demonstrate the materiality of social organization, not least through attention to objects and the body. As a result, there have been a plethora of studies reporting the social construction and effects of a variety of material objects as well as studies that have explored the material dimensions of a diversity of practices. In different ways these studies have questioned the Cartesian dualism of a strict separation of 'mind' and 'body'. However, it could be argued that the idea of the mind as immaterial has not been entirely banished and lingers when it comes to discussing abstract thinking and reasoning. The aim of this article is to extend the material turn to abstract thought, using mathematics as a paradigmatic example. This paper explores how writing mathematics (on paper, blackboards, or even in the air) is indispensable for doing and thinking mathematics. The paper is based on video recordings of lectures in formal logic and investigates how mathematics is presented at the blackboard. The paper discusses the iconic character of blackboards in mathematics and describes in detail a number of inscription practices of presenting mathematics at the blackboard (such as the use of lines and boxes, the designation of particular regions for specific mathematical purposes, as well as creating an 'architecture' visualizing the overall structure of the proof). The paper argues that doing mathematics really is 'thinking with eyes and hands' (Latour 1986). Thinking in mathematics is inextricably interwoven with writing mathematics. © London School of Economics and Political Science 2014.

Mathematical and physical aspects of gauge theories

International Nuclear Information System (INIS)

Chatelet, G.; Paris-13 Univ., 93 - Saint-Denis

1981-01-01

We present here a survey of gauge theories, trying to relate the main mathematical and physical concepts. Part I is devoted to exhibiting parallel transport and connection as the adequate concepts for the constitution of the parametrized internal space of a particle. A covariant derivative provides the differential calculus, which is needed when one leaves the point-like description in microphysics. Part II deals with the so-called pure gauge theory and sketches the construction of the self-dual solutions of Yang-Mills equations. We briefly explain Guersey's method to get SU 2 self-dual potentials as quarternionic analytic maps from S 4 (first quarternionic projective space) into HPsub(n) (n-dimensional quarternionic projective space). Part III is devoted to the Goldstone's theorem and Higgs' mechanism used to provide a mass to gauge mesons. We describe a Salam-Weinberg model to illustrate these techniques. Part IV deals with the perturbative aspect. The Faddeev-Popov method, formerly conceived as a technique to get correct Feynmann rules, actually leads to a systematic study of the affine space of connections factored out by gauge transformations. (orig.)

The manifold model for space-time

International Nuclear Information System (INIS)

Heller, M.

1981-01-01

Physical processes happen on a space-time arena. It turns out that all contemporary macroscopic physical theories presuppose a common mathematical model for this arena, the so-called manifold model of space-time. The first part of study is an heuristic introduction to the concept of a smooth manifold, starting with the intuitively more clear concepts of a curve and a surface in the Euclidean space. In the second part the definitions of the Csub(infinity) manifold and of certain structures, which arise in a natural way from the manifold concept, are given. The role of the enveloping Euclidean space (i.e. of the Euclidean space appearing in the manifold definition) in these definitions is stressed. The Euclidean character of the enveloping space induces to the manifold local Euclidean (topological and differential) properties. A suggestion is made that replacing the enveloping Euclidean space by a discrete non-Euclidean space would be a correct way towards the quantization of space-time. (author)

Rainforest Mathematics

Science.gov (United States)

Kilpatrick, Jeremy

2014-01-01

This paper addresses the contested way that ethnomathematics has sometimes been received by mathematicians and others and what that disagreement might suggest about issues in mathematics education; namely, (a) the relation of ethnomathematics to academic mathematics; (b) recent efforts to reform secondary school mathematics so that it prepares…

Mathematical scandals

CERN Document Server

Pappas, Theoni

1997-01-01

In this highly readable volume of vignettes of mathematical scandals and gossip, Theoni Pappas assembles 29 fascinating stories of intrigue and the bizarre ? in short, the human background of the history of mathematics. Might a haberdasher have changed Einstein's life? Why was the first woman mathematician murdered? How come there's no Nobel Prize in mathematics?Mathematics is principally about numbers, equations, and solutions, all of them precise and timeless. But, behind this arcane matter lies the sometimes sordid world of real people, whose rivalries and deceptions

Statistical geometry and space-time

International Nuclear Information System (INIS)

Grauert, H.

1976-01-01

In this paper I try to construct a mathematical tool by which the full structure of Lorentz geometry to space time can be given, but beyond that the background - to speak pictorially - the subsoil for electromagnetic and matter waves, too. The tool could be useful to describe the connections between various particles, electromagnetism and gravity and to compute observables which were not theoretically related, up to now. Moreover, the tool is simpler than the Riemann tensor: it consists just of a set S of line segments in space time, briefly speaking. (orig.) [de

High school mathematics teachers' perspectives on the purposes of mathematical proof in school mathematics

Science.gov (United States)

Dickerson, David S.; Doerr, Helen M.

2014-12-01

Proof serves many purposes in mathematics. In this qualitative study of 17 high school mathematics teachers, we found that these teachers perceived that two of the most important purposes for proof in school mathematics were (a) to enhance students' mathematical understanding and (b) to develop generalized thinking skills that were transferable to other fields of endeavor. We found teachers were divided on the characteristics (or features) of proofs that would serve these purposes. Teachers with less experience tended to believe that proofs in the high school should adhere to strict standards of language and reasoning while teachers with more experience tended to believe that proofs based on concrete or visual features were well suited for high school mathematics. This study has implications for teacher preparation because it appears that there is a wide variation in how teachers think about proof. It seems likely that students would experience proof very differently merely because they were seated in different classrooms.

On deformation of complex continuum immersed in a plane space

Science.gov (United States)

Kovalev, V. A.; Murashkin, E. V.; Radayev, Y. N.

2018-05-01

The present paper is devoted to mathematical modelling of complex continua deformations considered as immersed in an external plane space. The complex continuum is defined as a differential manifold supplied with metrics induced by the external space. A systematic derivation of strain tensors by notion of isometric immersion of the complex continuum into a plane space of a higher dimension is proposed. Problem of establishing complete systems of irreducible objective strain and extrastrain tensors for complex continuum immersed in an external plane space is resolved. The solution to the problem is obtained by methods of the field theory and the theory of rational algebraic invariants. Strain tensors of the complex continuum are derived as irreducible algebraic invariants of contravariant vectors of the external space emerging as functional arguments in the complex continuum action density. Present analysis is restricted to rational algebraic invariants. Completeness of the considered systems of rational algebraic invariants is established for micropolar elastic continua. Rational syzygies for non-quadratic invariants are discussed. Objective strain tensors (indifferent to frame rotations in the external plane space) for micropolar continuum are alternatively obtained by properly combining multipliers of polar decompositions of deformation and extra-deformation gradients. The latter is realized only for continua immersed in a plane space of the equal mathematical dimension.

Calculus and analysis in Euclidean space

CERN Document Server

Shurman, Jerry

2016-01-01

The graceful role of analysis in underpinning calculus is often lost to their separation in the curriculum. This book entwines the two subjects, providing a conceptual approach to multivariable calculus closely supported by the structure and reasoning of analysis. The setting is Euclidean space, with the material on differentiation culminating in the inverse and implicit function theorems, and the material on integration culminating in the general fundamental theorem of integral calculus. More in-depth than most calculus books but less technical than a typical analysis introduction, Calculus and Analysis in Euclidean Space offers a rich blend of content to students outside the traditional mathematics major, while also providing transitional preparation for those who will continue on in the subject. The writing in this book aims to convey the intent of ideas early in discussion. The narrative proceeds through figures, formulas, and text, guiding the reader to do mathematics resourcefully by marshaling the skil...

Financial mathematics

CERN Document Server

Jothi, A Lenin

2009-01-01

Financial services, particularly banking and insurance services is the prominent sector for the development of a nation. After the liberalisation of financial sector in India, the scope of getting career opportunities has been widened. It is heartening to note that various universities in India have introduced professional courses on banking and insurance. A new field of applied mathematics has come into prominence under the name of Financial Mathematics. Financial mathematics has attained much importance in the recent years because of the role played by mathematical concepts in decision - m

Mathematics everywhere

CERN Document Server

Aigner, Martin; Spain, Philip G

2010-01-01

Mathematics is all around us. Often we do not realize it, though. Mathematics Everywhere is a collection of presentations on the role of mathematics in everyday life, through science, technology, and culture. The common theme is the unique position of mathematics as the art of pure thought and at the same time as a universally applicable science. The authors are renowned mathematicians; their presentations cover a wide range of topics. From compact discs to the stock exchange, from computer tomography to traffic routing, from electronic money to climate change, they make the "math inside" unde

Engineering mathematics

CERN Document Server

Stroud, K A

2013-01-01

A groundbreaking and comprehensive reference that's been a bestseller since it first debuted in 1970, the new seventh edition of Engineering Mathematics has been thoroughly revised and expanded. Providing a broad mathematical survey, this innovative volume covers a full range of topics from the very basic to the advanced. Whether you're an engineer looking for a useful on-the-job reference or want to improve your mathematical skills, or you are a student who needs an in-depth self-study guide, Engineering Mathematics is sure to come in handy time and time again.

Mathematical Modeling: Challenging the Figured Worlds of Elementary Mathematics

Science.gov (United States)

Wickstrom, Megan H.

2017-01-01

This article is a report on a teacher study group that focused on three elementary teachers' perceptions of mathematical modeling in contrast to typical mathematics instruction. Through the theoretical lens of figured worlds, I discuss how mathematics instruction was conceptualized across the classrooms in terms of artifacts, discourse, and…

Mathematics Teachers' Ideas about Mathematical Models: A Diverse Landscape

Science.gov (United States)

Bautista, Alfredo; Wilkerson-Jerde, Michelle H.; Tobin, Roger G.; Brizuela, Bárbara M.

2014-01-01

This paper describes the ideas that mathematics teachers (grades 5-9) have regarding mathematical models of real-world phenomena, and explores how teachers' ideas differ depending on their educational background. Participants were 56 United States in-service mathematics teachers. We analyzed teachers' written responses to three open-ended…

Mathematics and engineering in real life through mathematical competitions

Science.gov (United States)

More, M.

2018-02-01

We bring out an experience of organizing mathematical competitions that can be used as a medium to motivate the student and teacher minds in new directions of thinking. This can contribute to fostering research, innovation and provide a hands-on experience of mathematical concepts with the real world. Mathematical competitions can be used to build curiosity and give an understanding of mathematical applications in real life. Participation in the competition has been classified under four broad categories. Student can showcase their findings in various forms of expression like model, poster, soft presentation, animation, live performance, art and poetry. The basic focus of the competition is on using open source computation tools and modern technology, to emphasize the relationship of mathematical concepts with engineering applications in real life.

Discrete Mathematics

DEFF Research Database (Denmark)

Sørensen, John Aasted

2011-01-01

; construct a finite state machine for a given application. Apply these concepts to new problems. The teaching in Discrete Mathematics is a combination of sessions with lectures and students solving problems, either manually or by using Matlab. Furthermore a selection of projects must be solved and handed...... 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...... to new problems. Relations and functions: Define a product set; define and apply equivalence relations; construct and apply functions. Apply these concepts to new problems. Natural numbers and induction: Define the natural numbers; apply the principle of induction to verify a selection of properties...

Characteristic of monotonicity of Orlicz function spaces equipped with the Orlicz norm

Czech Academy of Sciences Publication Activity Database

Foralewski, P.; Hudzik, H.; Kaczmarek, R.; Krbec, Miroslav

2013-01-01

Roč. 53, č. 2 (2013), s. 421-432 ISSN 0373-8299 R&D Projects: GA ČR GAP201/10/1920 Institutional support: RVO:67985840 Keywords : Orlicz space * Köthe space * characteristic of monotonicity Subject RIV: BA - General Mathematics

GENASIS Mathematics : Object-oriented manifolds, operations, and solvers for large-scale physics simulations

Science.gov (United States)

Cardall, Christian Y.; Budiardja, Reuben D.

2018-01-01

The large-scale computer simulation of a system of physical fields governed by partial differential equations requires some means of approximating the mathematical limit of continuity. For example, conservation laws are often treated with a 'finite-volume' approach in which space is partitioned into a large number of small 'cells,' with fluxes through cell faces providing an intuitive discretization modeled on the mathematical definition of the divergence operator. Here we describe and make available Fortran 2003 classes furnishing extensible object-oriented implementations of simple meshes and the evolution of generic conserved currents thereon, along with individual 'unit test' programs and larger example problems demonstrating their use. These classes inaugurate the Mathematics division of our developing astrophysics simulation code GENASIS (Gen eral A strophysical Si mulation S ystem), which will be expanded over time to include additional meshing options, mathematical operations, solver types, and solver variations appropriate for many multiphysics applications.

Smarandache Spaces as a New Extension of the Basic Space-Time of General Relativity

Directory of Open Access Journals (Sweden)

Rabounski D.

2010-04-01

Full Text Available This short letter manifests how Smarandache geometries can be employed in order to extend the “classical” basis of the General Theory of Relativity (Riemannian geometry through joining the properties of two or more (different geometries in the same single space. Perspectives in this way seem much profitable: the basic space-time of General Relativity can be extended to not only metric geometries, but even to non-metric ones (where no distances can be measured, or to spaces of the mixed kind which possess the properties of both metric and non-metric spaces (the latter should be referred to as “semi-metric spaces”. If both metric and non-metric properties possessed at the same (at least one point of a space, it is one of Smarandache geometries, and should be re- ferred to as “Smarandache semi-metric space”. Such spaces can be introduced accord- ing to the mathematical apparatus of physically observable quantities (chronometric invariants, if we consider a breaking of the observable space metric in the continuous background of the fundamental metric tensor.

Mathematics Anxiety in Young Children: Concurrent and Longitudinal Associations with Mathematical Performance

Science.gov (United States)

Vukovic, Rose K.; Kieffer, Michael J.; Bailey, Sean P.; Harari, Rachel R.

2013-01-01

This study explored mathematics anxiety in a longitudinal sample of 113 children followed from second to third grade. We examined how mathematics anxiety related to different types of mathematical performance concurrently and longitudinally and whether the relations between mathematics anxiety and mathematical performance differed as a function of…

Introducing philosophy of mathematics

CERN Document Server

Friend, Michele

2014-01-01

What is mathematics about? Does the subject-matter of mathematics exist independently of the mind or are they mental constructions? How do we know mathematics? Is mathematical knowledge logical knowledge? And how is mathematics applied to the material world? In this introduction to the philosophy of mathematics, Michele Friend examines these and other ontological and epistemological problems raised by the content and practice of mathematics. Aimed at a readership with limited proficiency in mathematics but with some experience of formal logic it seeks to strike a balance between conceptual acc

ACER Mathematics Profile Series: Number Test. (Test Booklet, Answer and Record Sheet, Score Key, and Teachers Handbook).

Science.gov (United States)

Cornish, Greg; Wines, Robin

The Number Test of the ACER Mathematics Profile Series, contains 30 items, for each of three suggested grade levels: 7-8, 8-9, and 9-10. Raw scores on all tests in the ACER Mathematics Profile Series (Number, Operations, Space and Measurement) are converted to a common scale called MAPS, a major feature of the Series. Based on the Rasch Model,…

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…

DEVELOPING STUDENTS’ ABILITY OF MATHEMATICAL CONNECTION THROUGH USING OUTDOOR MATHEMATICS LEARNING

Directory of Open Access Journals (Sweden)

Saleh Haji

2017-01-01

Full Text Available The Purpose of this study is to determine the achievement and improvement of students’ mathematical connectionability through using outdoor mathematics learning. 64 students from the fifth grade of Primary School at SDN 65 and SDN 67 Bengkulu City were taken as the sample of this study. While the method of the research used in this research is experiment with quasi-experimental designs non-equivalent control group. The results of the study are as follows: (1 There is an increasing ability found in mathematical connection of students whom taught by using outdoors mathematics learning is 0,53; (2 Based on statical computation that achievement of students’ ability of mathematical connection is taught by using outdoor mathematics learning score is 71,25. It is higher than the students score 66,25 which were taught by using the conventional learning. So as to improve students’ mathematical connection, teachers are suggested to use the outdoors mathematics learning

Loving + hating mathematics challenging the myths of mathematical life

CERN Document Server

Hersh, Reuben

2011-01-01

Mathematics is often thought of as the coldest expression of pure reason. But few subjects provoke hotter emotions--and inspire more love and hatred--than mathematics. And although math is frequently idealized as floating above the messiness of human life, its story is nothing if not human; often, it is all too human. Loving and Hating Mathematics is about the hidden human, emotional, and social forces that shape mathematics and affect the experiences of students and mathematicians. Written in a lively, accessible style, and filled with gripping stories and anecdotes, Loving and Hating Mathema

Characterisation of Embeddings in Lorentz Spaces

Czech Academy of Sciences Publication Activity Database

Gogatishvili, Amiran; Johansson, M.; Okpoti, C.A.; Persson, L. E.

2007-01-01

Roč. 76, č. 1 (2007), s. 69-92 ISSN 0004-9727 R&D Projects: GA ČR GA201/05/2033 Institutional research plan: CEZ:AV0Z10190503 Keywords : non-increasing rearrangement * Lorentz spaces * weights Subject RIV: BA - General Mathematics Impact factor: 0.297, year: 2007

Dilemma in Teaching Mathematics

Science.gov (United States)

Md Kamaruddin, Nafisah Kamariah; Md Amin, Zulkarnain

2012-01-01

The challenge in mathematics education is finding the best way to teach mathematics. When students learn the reasoning and proving in mathematics, they will be proficient in mathematics. Students must know mathematics before they can apply it. Symbolism and logic is the key to both the learning of mathematics and its effective application to…

Introductory discrete mathematics

CERN Document Server

Balakrishnan, V K

2010-01-01

This concise text offers an introduction to discrete mathematics for undergraduate students in computer science and mathematics. Mathematics educators consider it vital that their students be exposed to a course in discrete methods that introduces them to combinatorial mathematics and to algebraic and logical structures focusing on the interplay between computer science and mathematics. The present volume emphasizes combinatorics, graph theory with applications to some stand network optimization problems, and algorithms to solve these problems.Chapters 0-3 cover fundamental operations involv

Harmonic analysis on symmetric spaces

CERN Document Server

Terras, Audrey

This text explores the geometry and analysis of higher rank analogues of the symmetric spaces introduced in volume one. To illuminate both the parallels and differences of the higher rank theory, the space of positive matrices is treated in a manner mirroring that of the upper-half space in volume one. This concrete example furnishes motivation for the general theory of noncompact symmetric spaces, which is outlined in the final chapter. The book emphasizes motivation and comprehensibility, concrete examples and explicit computations (by pen and paper, and by computer), history, and, above all, applications in mathematics, statistics, physics, and engineering. The second edition includes new sections on Donald St. P. Richards’s central limit theorem for O(n)-invariant random variables on the symmetric space of GL(n, R), on random  matrix theory, and on advances in the theory of automorphic forms on arithmetic groups.

Space, time and causality

International Nuclear Information System (INIS)

Lucas, J.R.

1984-01-01

Originating from lectures given to first year undergraduates reading physics and philosophy or mathematics and philosophy, formal logic is applied to issues and the elucidation of problems in space, time and causality. No special knowledge of relativity theory or quantum mechanics is needed. The text is interspersed with exercises and each chapter is preceded by a suggested 'preliminary reading' and followed by 'further reading' references. (U.K.)

Mathematics and Engineering in Real Life through Mathematical Competitions

Science.gov (United States)

More, M.

2018-01-01

We bring out an experience of organizing mathematical competitions that can be used as a medium to motivate the student and teacher minds in new directions of thinking. This can contribute to fostering research, innovation and provide a hands-on experience of mathematical concepts with the real world. Mathematical competitions can be used to build…

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...

An Investigation of Mathematical Modeling with Pre-Service Secondary Mathematics Teachers

Science.gov (United States)

Thrasher, Emily Plunkett

2016-01-01

The goal of this thesis was to investigate and enhance our understanding of what occurs while pre-service mathematics teachers engage in a mathematical modeling unit that is broadly based upon mathematical modeling as defined by the Common Core State Standards for Mathematics (National Governors Association Center for Best Practices & Council…

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...

Advantages and disadvantages of college drinking in students' own words: content analysis of the decisional balance worksheet.

Science.gov (United States)

Collins, Susan E; Kirouac, Megan; Taylor, Emily; Spelman, Philip J; Grazioli, Véronique; Hoffman, Gail; Haelsig, Laura; Holttum, Jessica; Kanagawa, Ami; Nehru, Mayanka; Hicks, Jennifer

2014-09-01

The decisional balance worksheet (DBW), an open-ended measure of motivation to change, may be used to record the perceived advantages and disadvantages of substance use as well as alternative behaviors. Recent findings have indicated that the open-ended DBW can be quantified to validly reflect college students' level of motivation to reduce their drinking (Collins, Carey, & Otto, 2009). The goal of the current study was to enhance our understanding of college students' perceived advantages and disadvantages of drinking by qualitatively examining the content of their decisional balance. Participants were undergraduate college students at a 4-year university (N = 760) who participated in a randomized controlled trial of online brief motivational interventions. Using the DBW, participants recorded the advantages and disadvantages of their current drinking. Conventional content analysis methods were used to extract common themes. Social, enjoyment, and psychological reasons were the most commonly mentioned advantages of drinking, whereas physical side effects, expense and interference with goals were the most commonly mentioned disadvantages of drinking. These findings show that college students primarily use alcohol for enjoyment, particularly in social situations, as well as for coping with stress and social anxiety. On the other hand, many college students report having physical side effects from drinking as well as other kinds of concerns (e.g., expense, calories). Findings suggest that using the open-ended DBW may result in a more client-centered and accurate representation of what college students perceive as advantages and disadvantages to drinking than established, Likert-scale measures of decisional balance.

Mathematics and Astronomy: Inquire Based Scientific Education at School

Science.gov (United States)

de Castro, Ana I. Gómez

2010-10-01

Mathematics is the language of science however, in secondary and high school education students are not made aware of the strong implications behind this statement. This is partially caused because mathematical training and the modelling of nature are not taught together. Astronomy provides firm scientific grounds for this joint training; the mathematics needed is simple, the data can be acquired with simple instrumentation in any place on the planet and the physics is rich with a broad range of levels. In addition, astronomy and space exploration are extremely appealing to young (14-17 years old) students helping to motivate them to study science doing science, i.e. to introduce Inquiry Based Scientific Education (IBSE). Since 1997 a global consortium is being developed to introduce IBSE techniques in secondary/high school education on a global scale: the Global Hands-On Universe association (www.globalhou.org) making use of the astronomical universe as a training lab. This contribution is a brief update on the current activities of the HOU consortium. Relevant URLS: www.globalhou.org, www.euhou.net, www.houspain.com.

Manifold Shape: from Differential Geometry to Mathematical Morphology

OpenAIRE

Roerdink, J.B.T.M.

1994-01-01

Much progress has been made in extending Euclidean mathematical morphology to more complex structures such as complete lattices or spaces with a non-commutative symmetry group. Such generalizations are important for practical situations such as translation and rotation invariant pattern recognition or shape description of patterns on spherical surfaces. Also in computer vision much use is made of spherical mappings to describe the world as seen by a human or machine observer. Stimulated by th...

MATHEMATICAL MODEL OF ATTITUDE CONTROL BUCKET‐WHEEL EXCAVATOR

Directory of Open Access Journals (Sweden)

Ivana ONDERKOVÁ

2013-07-01

Full Text Available This lecture deals with the application problems of convertibility GPS system at paddle excavator K 800. The claims of the modern operating surface mining of the excavators requires a lot of information for monitoring of mining process, capacity mining, selective extraction etc. The utilization of monitoring the excavator setting by GPS system proved to be the only one proper because the receivers are resistant to the vibration, dust, temperature divergence and weather changeable. Only the direct contact with communications satellite is required. It means that they can´t be located in a metal construction space (shadow caused by construction elements, influence of electrical high voltage cables even they can´t be located close to the paddle wheel on the paddle boom (shadow possibility caused by cuttinng edge created during lower gangplanks mining. This is the reason that GPS receivers are set uppermost on the metal construction excavator and the mathematical formulation is required for determination of paddle wheel petting. The relations for calculation of the paddle wheel coordinate were defined mathematically and after that the mathematical model was composed.

Grms or graphical representation of model spaces. Vol. I Basics

International Nuclear Information System (INIS)

Duch, W.

1986-01-01

This book presents a novel approach to the many-body problem in quantum chemistry, nuclear shell-theory and solid-state theory. Many-particle model spaces are visualized using graphs, each path of a graph labeling a single basis function or a subspace of functions. Spaces of a very high dimension are represented by small graphs. Model spaces have structure that is reflected in the architecture of the corresponding graphs, that in turn is reflected in the structure of the matrices corresponding to operators acting in these spaces. Insight into this structure leads to formulation of very efficient computer algorithms. Calculation of matrix elements is reduced to comparison of paths in a graph, without ever looking at the functions themselves. Using only very rudimentary mathematical tools graphical rules of matrix element calculation in abelian cases are derived, in particular segmentation rules obtained in the unitary group approached are rederived. The graphs are solutions of Diophantine equations of the type appearing in different branches of applied mathematics. Graphical representation of model spaces should find as many applications as has been found for diagramatical methods in perturbation theory

The Joy of Mathematics Discovering Mathematics All Around You

CERN Document Server

Pappas, Theoni

1993-01-01

Part of the joy of mathematics is that it is everywhere-in soap bubbles, electricity, da Vinci's masterpieces, even in an ocean wave. Written by the well-known mathematics teacher consultant, this volume's collection of over 200 clearly illustrated mathematical ideas, concepts, puzzles, and games shows where they turn up in the "real" world. You'll find out what a googol is, visit hotel infinity, read a thorny logic problem that was stumping them back in the 8th century. THE JOY OF MATHEMATICS is designed to be opened at random…it's mini essays are self-contained providing the reader

New trends in parameter identification for mathematical models

CERN Document Server

Leitão, Antonio; Zubelli, Jorge

2018-01-01

The Proceedings volume contains 16 contributions to the IMPA conference “New Trends in Parameter Identification for Mathematical Models”, Rio de Janeiro, Oct 30 – Nov 3, 2017, integrating the “Chemnitz Symposium on Inverse Problems on Tour”.  This conference is part of the “Thematic Program on Parameter Identification in Mathematical Models” organized  at IMPA in October and November 2017. One goal is to foster the scientific collaboration between mathematicians and engineers from the Brazialian, European and Asian communities. Main topics are iterative and variational regularization methods in Hilbert and Banach spaces for the stable approximate solution of ill-posed inverse problems, novel methods for parameter identification in partial differential equations, problems of tomography ,  solution of coupled conduction-radiation problems at high temperatures, and the statistical solution of inverse problems with applications in physics.

The role of the rigged Hilbert space in quantum mechanics

International Nuclear Information System (INIS)

Madrid, Rafael de la

2005-01-01

There is compelling evidence that, when a continuous spectrum is present, the natural mathematical setting for quantum mechanics is the rigged Hilbert space rather than just the Hilbert space. In particular, Dirac's braket formalism is fully implemented by the rigged Hilbert space rather than just by the Hilbert space. In this paper, we provide a pedestrian introduction to the role the rigged Hilbert space plays in quantum mechanics, by way of a simple, exactly solvable example. The procedure will be constructive and based on a recent publication. We also provide a thorough discussion on the physical significance of the rigged Hilbert space

Smoothness in Banach spaces. Selected problems

Czech Academy of Sciences Publication Activity Database

Fabian, Marián; Montesinos, V.; Zizler, Václav

2006-01-01

Roč. 100, č. 2 (2006), s. 101-125 ISSN 1578-7303 R&D Projects: GA ČR(CZ) GA201/04/0090; GA AV ČR(CZ) IAA100190610 Institutional research plan: CEZ:AV0Z10190503 Keywords : smooth norm * renorming * weakly compactly generated space Subject RIV: BA - General Mathematics

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.

Mathematics through Millenia

DEFF Research Database (Denmark)

Hansen, Vagn Lundsgaard

2005-01-01

A brief tour through the history of mathematics from the very beginnings to modern times, with an emphasis on the main contributions and important periods of mathematics in various civilizations.......A brief tour through the history of mathematics from the very beginnings to modern times, with an emphasis on the main contributions and important periods of mathematics in various civilizations....

Mathematics through millenia

DEFF Research Database (Denmark)

Hansen, Vagn Lundsgaard

A brief tour through the history of mathematics from the very beginnings to modern times, with an emphasis on the main contributions and important periods of mathematics in various civilizations.......A brief tour through the history of mathematics from the very beginnings to modern times, with an emphasis on the main contributions and important periods of mathematics in various civilizations....

Mathematical biology

CERN Document Server

Murray, James D

1993-01-01

The book is a textbook (with many exercises) giving an in-depth account of the practical use of mathematical modelling in the biomedical sciences. The mathematical level required is generally not high and the emphasis is on what is required to solve the real biological problem. The subject matter is drawn, e.g. from population biology, reaction kinetics, biological oscillators and switches, Belousov-Zhabotinskii reaction, reaction-diffusion theory, biological wave phenomena, central pattern generators, neural models, spread of epidemics, mechanochemical theory of biological pattern formation and importance in evolution. Most of the models are based on real biological problems and the predictions and explanations offered as a direct result of mathematical analysis of the models are important aspects of the book. The aim is to provide a thorough training in practical mathematical biology and to show how exciting and novel mathematical challenges arise from a genuine interdisciplinary involvement with the biosci...

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...

Collaborative groups: a reflective look for the professional development of mathematics teachers

Directory of Open Access Journals (Sweden)

Priscila Bernardo Martins

2018-01-01

Full Text Available The present work aims to present the conceptual characteristics about collaborative groups and to identify their importance in the professional development process of teachers who teach Mathematics. For this, we adopt a methodology of bibliographic research in which we bring authors who discuss this theme. Our theoretical framework is supported by authors who discuss the importance of collaborative groups in the teaching of Mathematics. The results show that the collaborative groups contribute to the professional development of teachers by promoting, through reflexivity, spaces of collective discussions about the practice of teachers in the classroom.

Implementing a new mathematics curriculum: Mathematics teachers’ beliefs and practices

OpenAIRE

Ernest Ampadu

2013-01-01

Mathematics has become a ‘critical filter’ in the social, economic and professional development of individuals and forms a core component of the school curriculum in most countries. It is upon this utilitarian nature of mathematics to the individual and the society as a whole that the school mathematics curriculum has been undergoing a number of restructuring over the last three decades. In Ghana, a new mathematics curriculum was introduced in September 2007 which aims at shifting the teachin...

Mathematics for physicists

CERN Document Server

Martin, B R

2015-01-01

Mathematics for Physicists is a relatively short volume covering all the essential mathematics needed for a typical first degree in physics, from a starting point that is compatible with modern school mathematics syllabuses. Early chapters deliberately overlap with senior school mathematics, to a degree that will depend on the background of the individual reader, who may quickly skip over those topics with which he or she is already familiar. The rest of the book covers the mathematics that is usually compulsory for all students in their first two years of a typical university physics degree, plus a little more. There are worked examples throughout the text, and chapter-end problem sets. Mathematics for Physicists features: * Interfaces with modern school mathematics syllabuses * All topics usually taught in the first two years of a physics degree * Worked examples throughout * Problems in every chapter, with answers to selected questions at the end of the book and full solutions on a website This text will ...

Projective unitary-antiunitary representations of the Shubnikov space groups

International Nuclear Information System (INIS)

Broek, P.M. van den.

1979-01-01

Some mathematical aspects of the symmetry of a physical system in quantum mechanics are examined with special emphasis on the symmetry groups of charged particles in crystalline solids, the Shuknikov space groups. (Auth.)

USSR Space Life Sciences Digest, issue 28

Science.gov (United States)

Stone, Lydia Razran (Editor); Teeter, Ronald (Editor); Rowe, Joseph (Editor)

1990-01-01

This is the twenty-eighth issue of NASA's Space Life Sciences Digest. It contains abstracts of 60 journal papers or book chapters published in Russian and of 3 Soviet monographs. Selected abstracts are illustrated with figures and tables from the original. The abstracts in this issue have been identified as relevant to 20 areas of space biology and medicine. These areas include: adaptation, aviation medicine, botany, cardiovascular and respiratory systems, developmental biology, endocrinology, enzymology, equipment and instrumentation, hematology, human performance, immunology, life support systems, mathematical modeling, musculoskeletal system, neurophysiology, personnel selection, psychology, radiobiology, reproductive system, and space medicine.

Adaptation of mathematical educational content in e-learning resources

Directory of Open Access Journals (Sweden)

Yuliya V. Vainshtein

2017-01-01

Full Text Available Modern trends in the world electronic educational system development determine the necessity of adaptive learning intellectual environments and resources’ development and implementation. An upcoming trend in improvement the quality of studying mathematical disciplines is the development and application of adaptive electronic educational resources. However, the development and application experience of adaptive technologies in higher education is currently extremely limited and does not imply the usage flexibility. Adaptive educational resources in the electronic environment are electronic educational resources that provide the student with a personal educational space, filled with educational content that “adapts” to the individual characteristics of the students and provides them with the necessary information.This article focuses on the mathematical educational content adaptation algorithms development and their implementation in the e-learning system. The peculiarity of the proposed algorithms is the possibility of their application and distribution for adaptive e-learning resources construction. The novelty of the proposed approach is the three-step content organization of the adaptive algorithms for the educational content: “introductory adaptation of content”, “the current adaptation of content”, “estimative and a corrective adaptation”. For each stage of the proposed system, mathematical algorithms for educational content adaptation in adaptive e-learning resources are presented.Due to the high level of abstraction and complexity perception of mathematical disciplines, educational content is represented in the various editions of presentation that correspond to the levels of assimilation of the course material. Adaptation consists in the selection of the optimal edition of the material that best matches the individual characteristics of the student. The introduction of a three-step content organization of the adaptive

New SUSYQM coherent states for Pöschl-Teller potentials: a detailed mathematical analysis

Science.gov (United States)

Bergeron, H.; Siegl, P.; Youssef, A.

2012-06-01

In a recent short note (Bergeron et al 2010 Europhys. Lett. 92 60003), we have presented the good properties of a new family of semi-classical states for Pöschl-Teller potentials. These states are built from a supersymmetric quantum mechanics (SUSYQM) approach and the parameters of these ‘coherent’ states are points in the classical phase space. In this paper, we develop all the mathematical aspects that have been left out of the previous paper (proof of the resolution of unity, detailed calculations of the quantized version of classical observables and mathematical study of the resulting operators: problems of domains, self-adjointness or self-adjoint extensions). Some additional questions such as asymptotic behavior are also studied. Moreover, the framework is extended to a larger class of Pöschl-Teller potentials. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to ‘Coherent states: mathematical and physical aspects’.

New SUSYQM coherent states for Pöschl–Teller potentials: a detailed mathematical analysis

International Nuclear Information System (INIS)

Bergeron, H; Siegl, P; Youssef, A

2012-01-01

In a recent short note (Bergeron et al 2010 Europhys. Lett. 92 60003), we have presented the good properties of a new family of semi-classical states for Pöschl–Teller potentials. These states are built from a supersymmetric quantum mechanics (SUSYQM) approach and the parameters of these ‘coherent’ states are points in the classical phase space. In this paper, we develop all the mathematical aspects that have been left out of the previous paper (proof of the resolution of unity, detailed calculations of the quantized version of classical observables and mathematical study of the resulting operators: problems of domains, self-adjointness or self-adjoint extensions). Some additional questions such as asymptotic behavior are also studied. Moreover, the framework is extended to a larger class of Pöschl–Teller potentials. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to ‘Coherent states: mathematical and physical aspects’. (paper)

Semiotic Scaffolding in Mathematics

DEFF Research Database (Denmark)

Johansen, Mikkel Willum; Misfeldt, Morten

2015-01-01

This paper investigates the notion of semiotic scaffolding in relation to mathematics by considering its influence on mathematical activities, and on the evolution of mathematics as a research field. We will do this by analyzing the role different representational forms play in mathematical...... cognition, and more broadly on mathematical activities. In the main part of the paper, we will present and analyze three different cases. For the first case, we investigate the semiotic scaffolding involved in pencil and paper multiplication. For the second case, we investigate how the development of new...... in both mathematical cognition and in the development of mathematics itself, but mathematical cognition cannot itself be reduced to the use of semiotic scaffolding....

Modeling of carbonate reservoir variable secondary pore space based on CT images

Science.gov (United States)

Nie, X.; Nie, S.; Zhang, J.; Zhang, C.; Zhang, Z.

2017-12-01

Digital core technology has brought convenience to us, and X-ray CT scanning is one of the most common way to obtain 3D digital cores. However, it can only provide the original information of the only samples being scanned, and we can't modify the porosity of the scanned cores. For numerical rock physical simulations, a series of cores with variable porosities are needed to determine the relationship between the physical properties and porosity. In carbonate rocks, the secondary pore space including dissolution pores, caves and natural fractures is the key reservoir space, which makes the study of carbonate secondary porosity very important. To achieve the variation of porosities in one rock sample, based on CT scanned digital cores, according to the physical and chemical properties of carbonate rocks, several mathematical methods are chosen to simulate the variation of secondary pore space. We use the erosion and dilation operations of mathematical morphology method to simulate the pore space changes of dissolution pores and caves. We also use the Fractional Brownian Motion model to generate natural fractures with different widths and angles in digital cores to simulate fractured carbonate rocks. The morphological opening-and-closing operations in mathematical morphology method are used to simulate distribution of fluid in the pore space. The established 3D digital core models with different secondary porosities and water saturation status can be used in the study of the physical property numerical simulations of carbonate reservoir rocks.