Formal verification of mathematical software
NASA Technical Reports Server (NTRS)
Sutherland, D.
1984-01-01
Methods are investigated for formally specifying and verifying the correctness of mathematical software (software which uses floating point numbers and arithmetic). Previous work in the field was reviewed. A new model of floating point arithmetic called the asymptotic paradigm was developed and formalized. Two different conceptual approaches to program verification, the classical Verification Condition approach and the more recently developed Programming Logic approach, were adapted to use the asymptotic paradigm. These approaches were then used to verify several programs; the programs chosen were simplified versions of actual mathematical software.
Mathematical-Programming Approaches to Test Item Pool Design. Research Report.
ERIC Educational Resources Information Center
Veldkamp, Bernard P.; van der Linden, Wim J.; Ariel, Adelaide
This paper presents an approach to item pool design that has the potential to improve on the quality of current item pools in educational and psychological testing and thus to increase both measurement precision and validity. The approach consists of the application of mathematical programming techniques to calculate optimal blueprints for item…
ERIC Educational Resources Information Center
Wichita Unified School District 259, KS.
This book is a guide for the reinforcement of the elementary mathematics laboratory program. It uses a hands-on and activity approach with maximum involvement of the students. Reinforcement strategies for the first three phases (concrete, semiconcrete, and semiabstract) of each mathematics concept are suggested. Also included are specific job…
ERIC Educational Resources Information Center
ERICKSEN, GERALD L.; RYAN, JAMES J.
A REPORT IS GIVEN OF THE FIRST 3 YEARS OF A FIELD STUDY CONDUCTED TO DETERMINE THE EFFECTIVENESS OF SEVERAL PROTOTYPE, SECONDARY MATHEMATICS PROGRAMS THAT WERE PRODUCED BY DIFFERENT CURRICULUM DEVELOPMENT GROUPS. MATHEMATICS TEACHERS WHO HAD NO PREVIOUS EXPERIENCE WITH "MODERN" OR EXPERIMENTAL APPROACHES TO MATHEMATICS TAUGHT A SELECTED…
Multiscale Materials Science - A Mathematical Approach to the Role of Defects and Uncertainty
2016-10-28
AFRL-AFOSR-UK-TR-2016-0034 Multiscale materials science - a mathematical approach to the role of defects and uncertainty Claude Le Bris ECOLE...science - a mathematical approach to the role of defects and uncertainty 5a. CONTRACT NUMBER 5b. GRANT NUMBER FA8655-13-1-3061 5c. PROGRAM ELEMENT...1FORM SF 298 10/31/2016https://livelink.ebs.afrl.af.mil/livelink/llisapi.dll Contract FA 8655-13-1-3061 Multiscale materials science: a mathematical
A Case Study on the Impact of Teacher Mathematical Knowledge on Pedagogical Practices
ERIC Educational Resources Information Center
Hughes, Sally
2016-01-01
This study explores the implications for mathematical knowledge and pedagogical practices of primary teachers in Papua New Guinea making a shift from a transmission approach to a connectionist approach to teaching mathematics. The research participants were engaged in a professional development program designed to support the teaching and learning…
A Multifaceted Mathematical Approach for Complex Systems
DOE Office of Scientific and Technical Information (OSTI.GOV)
Alexander, F.; Anitescu, M.; Bell, J.
2012-03-07
Applied mathematics has an important role to play in developing the tools needed for the analysis, simulation, and optimization of complex problems. These efforts require the development of the mathematical foundations for scientific discovery, engineering design, and risk analysis based on a sound integrated approach for the understanding of complex systems. However, maximizing the impact of applied mathematics on these challenges requires a novel perspective on approaching the mathematical enterprise. Previous reports that have surveyed the DOE's research needs in applied mathematics have played a key role in defining research directions with the community. Although these reports have had significantmore » impact, accurately assessing current research needs requires an evaluation of today's challenges against the backdrop of recent advances in applied mathematics and computing. To address these needs, the DOE Applied Mathematics Program sponsored a Workshop for Mathematics for the Analysis, Simulation and Optimization of Complex Systems on September 13-14, 2011. The workshop had approximately 50 participants from both the national labs and academia. The goal of the workshop was to identify new research areas in applied mathematics that will complement and enhance the existing DOE ASCR Applied Mathematics Program efforts that are needed to address problems associated with complex systems. This report describes recommendations from the workshop and subsequent analysis of the workshop findings by the organizing committee.« less
New Directions for Mathematics Instruction. 1989 Yearbook.
ERIC Educational Resources Information Center
Blume, Glendon W., Ed.; Heid, M. Kathleen, Ed.
This yearbook discusses instructional approaches that are consistent with the reformulation of the school mathematics curriculum by the National Council of Teachers of Mathematics (NCTM). Articles included cover: (1) Pennsylvania standards for mathematics programs (including goals, curriculum, instruction, evaluation, teachers, and…
AM: An Artificial Intelligence Approach to Discovery in Mathematics as Heuristic Search
1976-07-01
Artificial Intelligence Approach to Discovery in Mathematics as Heuristic Search by Douglas B. Len-t APPROVED FOR PUBLIC RELEASE; DISTRIBUTION IS UNLIMITED (A...570 AM: An Artificial Intelligence Approach to Discovery in Mathematics as Heuristic Search by Douglas B. Lenat ABSTRACT A program, called "AM", is...While AM’s " approach " to empirical research may be used in other scientific domains, the main limitation (reliance on hindsight) will probably recur
ERIC Educational Resources Information Center
New York State Education Dept., Albany. Bureau of Elementary Curriculum Development.
This guide describes activities and materials which can be used in a mathematics laboratory approach to a basic mathematics program for grades 1-6. One-hundred thirteen activities pertaining to measurement concepts are described in terms of purpose, suggested grade levels, materials needed, and procedures. Some specific concepts include: linear…
Clinical Assessment in Mathematics: Learning the Craft.
ERIC Educational Resources Information Center
Hunting, Robert P.; Doig, Brian A.
1997-01-01
Discusses a professional development program called Clinical Approaches to Mathematics Assessment. Argues for the advanced training of mathematics teachers who understand knowledge construction processes of students; can use clinical tools for evaluating a student's unique mathematical "fingerprint"; and can create or adapt problems, tasks, or…
Assessing Impacts of "Math in Focus," a "Singapore Math" Program
ERIC Educational Resources Information Center
Jaciw, Andrew P.; Hegseth, Whitney Michelle; Lin, Li; Toby, Megan; Newman, Denis; Ma, Boya; Zacamy, Jenna
2016-01-01
This study investigates, through a cluster randomized trial, the impact of "Math in Focus," a core mathematics program modeled after instructional approaches used in Singapore, on third- through fifth-grade students' achievement in mathematics. The program is currently being used in more than 400 school districts in the United States.…
EQUALS Investigations: Growth Patterns.
ERIC Educational Resources Information Center
Mayfield, Karen; Whitlow, Robert
EQUALS is a teacher education program that helps elementary and secondary educators acquire methods and materials to attract minority and female students to mathematics. The EQUALS program supports a problem-solving approach to mathematics which has students working in groups, uses active assessment methods, and incorporates a broad mathematics…
ERIC Educational Resources Information Center
Rich, Peter J.; Bly, Neil; Leatham, Keith R.
2014-01-01
This study aimed to provide first-hand accounts of the perceived long-term effects of learning computer programming on a learner's approach to mathematics. These phenomenological accounts, garnered from individual interviews of seven different programmers, illustrate four specific areas of interest: (1) programming provides context for many…
101 Short Problems from EQUALS = 101 Problemas Cortos del programma EQUALS.
ERIC Educational Resources Information Center
Stenmark, Jean Kerr, Ed.
EQUALS is a teacher advisory program that helps elementary and secondary educators acquire methods and materials to attract minority and female students to mathematics. The program supports a problem-solving approach to mathematics, including having students working in groups, using active assessment methods, and incorporating a broad mathematics…
ERIC Educational Resources Information Center
Chiatula, Victoria Oliaku
2015-01-01
This primer summarizes interdisciplinary collaborative mathematics as an integrative approach to train pre-service elementary teachers to teach math utilizing Junior Achievement USA (JA) educational programs within an elementary Math Methods course. The primer provides a JA historical background/program overview, summarizes the interdisciplinary…
ERIC Educational Resources Information Center
Dierking, Lynn D.
2010-01-01
This paper describes an innovative education program launched in 2004 by Oregon State University Science and Mathematics Education Department, with leadership from Oregon Sea Grant, and funding from NOAA. Program development is described as well as the impact of it on participants. The program represents one vision for how to transform research…
Learning Outcomes: Skills or Function?
ERIC Educational Resources Information Center
Ciancone, Tom; Tout, Dave
Participants in a teacher workshop compared these two approaches to learning outcomes in adult numeracy: (1) teaching mathematical skills and (2) using and applying mathematics from real life. The first approach was illustrated by an Ontario, Canada, program based on traditional school math, whose outcomes are skill-based and are the following:…
EQUALS Investigations: Remote Rulers.
ERIC Educational Resources Information Center
Mayfield, Karen; Whitlow, Robert
EQUALS is a teacher education program that helps elementary and secondary educators acquire methods and materials to attract minority and female students to mathematics. It supports a problem-solving approach to mathematics which has students working in groups, uses active assessment methods, and incorporates a broad mathematics curriculum…
Considering Indigenous Knowledges and Mathematics Curriculum
ERIC Educational Resources Information Center
Sterenberg, Gladys
2013-01-01
Across Canada, significant program changes in school mathematics have been made that encourage teachers to consider Aboriginal perspectives. In this article, I investigate one Aboriginal teacher's approaches to integrating Indigenous knowledges and the mandated mathematics curriculum in a Blackfoot First Nation school. Using a framework that…
ERIC Educational Resources Information Center
Capps, Joan P.
An instructional method using flow-chart symbols to make mathematical abstractions more concrete was implemented for a year in a technical mathematics course. Students received instruction in computer applications and programming in the BASIC language in order to increase motivation and firm the mathematical skills and problem-solving approaches…
Programming-Languages as a Conceptual Framework for Teaching Mathematics
ERIC Educational Resources Information Center
Feurzeig, Wallace; Papert, Seymour A.
2011-01-01
Formal mathematical methods remain, for most high school students, mysterious, artificial and not a part of their regular intuitive thinking. The authors develop some themes that could lead to a radically new approach. According to this thesis, the teaching of programming languages as a regular part of academic progress can contribute effectively…
Connected Mathematics Project (CMP). What Works Clearinghouse Intervention Report
ERIC Educational Resources Information Center
What Works Clearinghouse, 2010
2010-01-01
The "Connected Mathematics Project" ("CMP") is a mathematics curriculum designed for students in grades 6-8. Each grade level of the curriculum is a full-year program and covers numbers, algebra, geometry/measurement, probability, and statistics. The curriculum uses an investigative approach, and students utilize interactive…
EQUALS Investigations: Telling Someone Where To Go.
ERIC Educational Resources Information Center
Mayfield, Karen; Whitlow, Robert
EQUALS is a teacher education program that helps elementary and secondary educators acquire methods and materials to attract minority and female students to mathematics. It supports a problem-solving approach to mathematics which has students working in groups, uses active assessment methods, and incorporates a broad mathematics curriculum…
A multi-objective programming model for assessment the GHG emissions in MSW management
DOE Office of Scientific and Technical Information (OSTI.GOV)
Mavrotas, George, E-mail: mavrotas@chemeng.ntua.gr; Skoulaxinou, Sotiria; Gakis, Nikos
2013-09-15
Highlights: • The multi-objective multi-period optimization model. • The solution approach for the generation of the Pareto front with mathematical programming. • The very detailed description of the model (decision variables, parameters, equations). • The use of IPCC 2006 guidelines for landfill emissions (first order decay model) in the mathematical programming formulation. - Abstract: In this study a multi-objective mathematical programming model is developed for taking into account GHG emissions for Municipal Solid Waste (MSW) management. Mathematical programming models are often used for structure, design and operational optimization of various systems (energy, supply chain, processes, etc.). The last twenty yearsmore » they are used all the more often in Municipal Solid Waste (MSW) management in order to provide optimal solutions with the cost objective being the usual driver of the optimization. In our work we consider the GHG emissions as an additional criterion, aiming at a multi-objective approach. The Pareto front (Cost vs. GHG emissions) of the system is generated using an appropriate multi-objective method. This information is essential to the decision maker because he can explore the trade-offs in the Pareto curve and select his most preferred among the Pareto optimal solutions. In the present work a detailed multi-objective, multi-period mathematical programming model is developed in order to describe the waste management problem. Apart from the bi-objective approach, the major innovations of the model are (1) the detailed modeling considering 34 materials and 42 technologies, (2) the detailed calculation of the energy content of the various streams based on the detailed material balances, and (3) the incorporation of the IPCC guidelines for the CH{sub 4} generated in the landfills (first order decay model). The equations of the model are described in full detail. Finally, the whole approach is illustrated with a case study referring to the application of the model in a Greek region.« less
ERIC Educational Resources Information Center
Wen, Xiaoli; Bulotsky-Shearer, Rebecca J.; Hahs-Vaughn, Debbie L.; Korfmacher, Jon
2012-01-01
Guided by a developmental-ecological framework and Head Start's two-generational approach, this study examined two dimensions of Head Start program quality, classroom quality and parent involvement and their unique and interactive contribution to children's vocabulary, literacy, and mathematics skills growth from the beginning of Head Start…
Teaching Mathematics to Kindergarten Students through a Multisensory Approach
ERIC Educational Resources Information Center
Uzomah, Stephanie Lynn
2012-01-01
In 2007, only 32% of Georgia's fourth grade students were considered at or above the proficient level in mathematics. The purpose of this study was to examine the effectiveness of the TouchMath program at one elementary school. The TouchMath program was developed based on the constructivist learning theory and includes aspects of theories from…
ERIC Educational Resources Information Center
Jansen, Amanda; Herbel-Eisenmann, Beth; Smith, John P., III
2012-01-01
Transitions from middle school to high school mathematics programs can be problematic for students due to potential differences between instructional approaches and curriculum materials. Given the minimal research on how students experience such differences, we report on the experiences of two students as they moved out of an integrated,…
ERIC Educational Resources Information Center
Tüzel, Sait
2013-01-01
Two basic approaches namely "independent lesson approach" and "integration approach" appear in teaching media literacy. Media literacy is regarded as a separate lesson in the education program like mathematics and social sciences in "independent lesson approach". However, in "integration approach",…
Charting the Impact of Federal Spending for Education Research: A Bibliometric Approach
ERIC Educational Resources Information Center
Milesi, Carolina; Brown, Kevin L.; Hawkley, Louise; Dropkin, Eric; Schneider, Barbara L.
2014-01-01
Impact evaluation plays a critical role in determining whether federally funded research programs in science, technology, engineering, and mathematics are wise investments. This paper develops quantitative methods for program evaluation and applies this approach to a flagship National Science Foundation-funded education research program, Research…
Elements of Mathematics, Book O: Intuitive Background. Chapter 1, Operational Systems.
ERIC Educational Resources Information Center
Exner, Robert; And Others
The sixteen chapters of this book provide the core material for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functional-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is…
ERIC Educational Resources Information Center
McGee, Daniel; Vasquez, Pedro; Cajigas, Jesus
2014-01-01
The University of Puerto Rico in Mayaguez (UPRM) has found that there are disadvantages to a semester long remedial mathematics course that is administered during the freshmen year to students with mathematics deficiencies in STEM (Science, Technology, Engineering and Math) programs. Correspondingly, the UPRM designed and implemented an…
Elements of Mathematics, Book O: Intuitive Background. Chapter 5, Mappings.
ERIC Educational Resources Information Center
Exner, Robert; And Others
The sixteen chapters of this book provide the core material for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functional-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is…
Elements of Mathematics, Book O: Intuitive Background. Chapter 2, The Integers.
ERIC Educational Resources Information Center
Exner, Robert; And Others
The sixteen chapters of this book provide the core materials for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functional-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is…
Solving the water jugs problem by an integer sequence approach
NASA Astrophysics Data System (ADS)
Man, Yiu-Kwong
2012-01-01
In this article, we present an integer sequence approach to solve the classic water jugs problem. The solution steps can be obtained easily by additions and subtractions only, which is suitable for manual calculation or programming by computer. This approach can be introduced to secondary and undergraduate students, and also to teachers and lecturers involved in teaching mathematical problem solving, recreational mathematics, or elementary number theory.
Computer Synthesis Approaches of Hyperboloid Gear Drives with Linear Contact
NASA Astrophysics Data System (ADS)
Abadjiev, Valentin; Kawasaki, Haruhisa
2014-09-01
The computer design has improved forming different type software for scientific researches in the field of gearing theory as well as performing an adequate scientific support of the gear drives manufacture. Here are attached computer programs that are based on mathematical models as a result of scientific researches. The modern gear transmissions require the construction of new mathematical approaches to their geometric, technological and strength analysis. The process of optimization, synthesis and design is based on adequate iteration procedures to find out an optimal solution by varying definite parameters. The study is dedicated to accepted methodology in the creation of soft- ware for the synthesis of a class high reduction hyperboloid gears - Spiroid and Helicon ones (Spiroid and Helicon are trademarks registered by the Illinois Tool Works, Chicago, Ill). The developed basic computer products belong to software, based on original mathematical models. They are based on the two mathematical models for the synthesis: "upon a pitch contact point" and "upon a mesh region". Computer programs are worked out on the basis of the described mathematical models, and the relations between them are shown. The application of the shown approaches to the synthesis of commented gear drives is illustrated.
USDA-ARS?s Scientific Manuscript database
Pest control managers can benefit from using mathematical approaches, particularly models, when implementing area-wide pest control programs that include sterile insect technique (SIT), especially when these are used to calculate required rates of sterile releases to result in suppression or eradica...
Bridging the Numeracy Gap for Students in Low SES Communities: The Power of a Whole School Approach
ERIC Educational Resources Information Center
Gervasoni, Ann; Parish, Linda; Upton, Cait; Hadden, Teresa; Turkenburg, Kathie; Bevan, Kate; Livesey, Carole; Thompson, Deirdre; Croswell, Melissa; Southwell, Julie
2010-01-01
This paper explores the impact of the "Bridging the Numeracy Gap Project" on the whole-number learning of Prep and Grade 1 students living in a low Socio-Economic Status (SES) community. The findings suggest that an approach that includes a specialist mathematics teacher who provides specialised programs for mathematically vulnerable…
ERIC Educational Resources Information Center
Exner, Robert; And Others
The sixteen chapters of this book provide the core material for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functional-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is…
ERIC Educational Resources Information Center
New York State Education Dept., Albany. Bureau of General Education Curriculum Development.
This guide is the seventh teachers' guide developed by the Division for Curricular Services and the Bureau of Mathematics Education in cooperation with the Division of Federal Education Opportunity Programs, ESEA Title I. It contains 100 mathematics activities within 37 pages for primary students. The activities are planned for teachers to use…
DOE Office of Scientific and Technical Information (OSTI.GOV)
Crumbly, I.J.; Hodges, J.
1994-09-01
During the 1993 school year, LLNL and the US Department of Energy`s San Francisco Field Office provided funds through grant {number_sign}DE-FG03-93SF20045/A000 to assist Cooperative Developmental Energy Program (CDEP) with its network coalition of high school counselors from 19 states and with its outreach and early intervention program in mathematics, science and engineering for minority junior high school students. The program for high school counselors is called the National Educators Orientation Program (NEOP) and the outreach program for minority junior high school students is called the Mathematics, Science and Engineering Academy (MSEA). A total of 35 minority and female rising eighthmore » grade students participated in the Second Annual Mathematics, Science, and Engineering Academy sponsored by the Cooperative Developmental Energy Program of Fort Valley State College (FVSC). There were 24 students from the middle Georgia area, 4 students from Oakland, California, and 7 students from Portland, Oregon. Each student was selected by counselor in his or her respective school. The selection criteria were based on the students` academic performance in science and mathematics courses.« less
ERIC Educational Resources Information Center
Bolduc, Elroy J., Jr.; And Others
The purpose of this project is to teach learning and understanding of mathematics at the ninth grade level through the use of science experiments. This part of the program contains significant amounts of material normally found in a beginning algebra class. The material should be found useful for classes in general mathematics as a preparation for…
ERIC Educational Resources Information Center
Maryland Univ., College Park. Univ. Coll.
This document contains the papers presented at a conference designed to provide a forum to discuss the European Division mathematics and science program and to allow an opportunity for professional development. Papers on approaches to teaching specific topics in the Maryland mathematics and science curriculum, as well as on other aspects of…
ERIC Educational Resources Information Center
Dimitriadis, Christos
2016-01-01
This article presents findings from a case study of an in-classroom program based on ability grouping for Year 2 (ages 6-7) primary (elementary) children identified as high ability in mathematics. The study examined the role of classroom setting, classroom environment, and teacher's approach in realizing and developing mathematical promise. The…
Managing Your Mathematics Program: A Total System. A Guide to the U-SAIL Basic Mathematics System.
ERIC Educational Resources Information Center
Hales, Carma M.; Jones, Maurine E.
The Utah System Approach to Individual Learning (U-SAIL) Mathematics System was developed to make it possible for teachers to provide excellence in arithmetic instruction. It is based on the premise that in order to teach arithmetic well, teachers must accurately assess, teach directly, provide students with focused practice, corrective feedback,…
Seeking mathematics success for college students: a randomized field trial of an adapted approach
NASA Astrophysics Data System (ADS)
Gula, Taras; Hoessler, Carolyn; Maciejewski, Wes
2015-11-01
Many students enter the Canadian college system with insufficient mathematical ability and leave the system with little improvement. Those students who enter with poor mathematics ability typically take a developmental mathematics course as their first and possibly only mathematics course. The educational experiences that comprise a developmental mathematics course vary widely and are, too often, ineffective at improving students' ability. This trend is concerning, since low mathematics ability is known to be related to lower rates of success in subsequent courses. To date, little attention has been paid to the selection of an instructional approach to consistently apply across developmental mathematics courses. Prior research suggests that an appropriate instructional method would involve explicit instruction and practising mathematical procedures linked to a mathematical concept. This study reports on a randomized field trial of a developmental mathematics approach at a college in Ontario, Canada. The new approach is an adaptation of the JUMP Math program, an explicit instruction method designed for primary and secondary school curriculae, to the college learning environment. In this study, a subset of courses was assigned to JUMP Math and the remainder was taught in the same style as in the previous years. We found consistent, modest improvement in the JUMP Math sections compared to the non-JUMP sections, after accounting for potential covariates. The findings from this randomized field trial, along with prior research on effective education for developmental mathematics students, suggest that JUMP Math is a promising way to improve college student outcomes.
The Increase of Critical Thinking Skills through Mathematical Investigation Approach
NASA Astrophysics Data System (ADS)
Sumarna, N.; Wahyudin; Herman, T.
2017-02-01
Some research findings on critical thinking skills of prospective elementary teachers, showed a response that is not optimal. On the other hand, critical thinking skills will lead a student in the process of analysis, evaluation and synthesis in solving a mathematical problem. This study attempts to perform an alternative solution with a focus on mathematics learning conditions that is held in the lecture room through mathematical investigation approach. This research method was Quasi-Experimental design with pre-test post-test design. Data analysis using a mixed method with Embedded design. Subjects were regular students enrolled in 2014 at the study program of education of primary school teachers. The number of research subjects were 111 students consisting of 56 students in the experimental group and 55 students in the control group. The results of the study showed that (1) there is a significant difference in the improvement of critical thinking ability of students who receive learning through mathematical investigation approach when compared with students studying through expository approach, and (2) there is no interaction effect between prior knowledge of mathematics and learning factors (mathematical investigation and expository) to increase of critical thinking skills of students.
Fun with maths: exploring implications of mathematical models for malaria eradication.
Eckhoff, Philip A; Bever, Caitlin A; Gerardin, Jaline; Wenger, Edward A
2014-12-11
Mathematical analyses and modelling have an important role informing malaria eradication strategies. Simple mathematical approaches can answer many questions, but it is important to investigate their assumptions and to test whether simple assumptions affect the results. In this note, four examples demonstrate both the effects of model structures and assumptions and also the benefits of using a diversity of model approaches. These examples include the time to eradication, the impact of vaccine efficacy and coverage, drug programs and the effects of duration of infections and delays to treatment, and the influence of seasonality and migration coupling on disease fadeout. An excessively simple structure can miss key results, but simple mathematical approaches can still achieve key results for eradication strategy and define areas for investigation by more complex models.
Software Template for Instruction in Mathematics
NASA Technical Reports Server (NTRS)
Shelton, Robert O.; Moebes, Travis A.; Beall, Anna
2005-01-01
Intelligent Math Tutor (IMT) is a software system that serves as a template for creating software for teaching mathematics. IMT can be easily connected to artificial-intelligence software and other analysis software through input and output of files. IMT provides an easy-to-use interface for generating courses that include tests that contain both multiple-choice and fill-in-the-blank questions, and enables tracking of test scores. IMT makes it easy to generate software for Web-based courses or to manufacture compact disks containing executable course software. IMT also can function as a Web-based application program, with features that run quickly on the Web, while retaining the intelligence of a high-level language application program with many graphics. IMT can be used to write application programs in text, graphics, and/or sound, so that the programs can be tailored to the needs of most handicapped persons. The course software generated by IMT follows a "back to basics" approach of teaching mathematics by inducing the student to apply creative mathematical techniques in the process of learning. Students are thereby made to discover mathematical fundamentals and thereby come to understand mathematics more deeply than they could through simple memorization.
ERIC Educational Resources Information Center
Mac Iver, Douglas J.; Balfanz, Robert; Plank, Stephen B.
In Talent Development Middle Schools, students needing extra help in mathematics participate in the Computer- and Team-Assisted Mathematics Acceleration (CATAMA) course. CATAMA is an innovative combination of computer-assisted instruction and structured cooperative learning that students receive in addition to their regular math course for about…
NASA Astrophysics Data System (ADS)
Yatchmeneff, Michele
The dramatic underrepresentation of Alaska Natives in science, technology, engineering and mathematics (STEM) degrees and professions calls for rigorous research in how students access these fields. Research has shown that students who complete advanced mathematics and science courses while in high school are more academically prepared to pursue and succeed in STEM degree programs and professions. There is limited research on what motivates precollege students to become more academically prepared before they graduate from high school. In Alaska, Alaska Native precollege students regularly underperform on required State of Alaska mathematics and science exams when compared to non-Alaska Native students. Research also suggests that different things may motivate Alaska Native students than racial majority students. Therefore there is a need to better understand what motivates Alaska Native students to take and successfully complete advanced mathematics and science courses while in high school so that they are academically prepared to pursue and succeed in STEM degrees and professions. The Alaska Native Science & Engineering Program (ANSEP) is a longitudinal STEM educational enrichment program that works with Alaska Native students starting in middle school through doctoral degrees and further professional endeavors. Research suggests that Alaska Native students participating in ANSEP are completing STEM degrees at higher rates than before the program was available. ANSEP appears to be unique due to its longitudinal approach and the large numbers of Alaska Native precollege, university, and graduate students it supports. ANSEP provides precollege students with opportunities to take advanced high school and college-level mathematics and science courses and complete STEM related projects. Students work and live together on campus during the program components. Student outcome data suggests that ANSEP has been successful at motivating precollege participants to successfully complete advanced high school and college-level mathematics and science courses prior to high school graduation. This study was designed to examine the motivations of Alaska Native high school students who participated in the ANSEP Precollege components to take advanced mathematics and science courses in high school or before college. Participants were 30 high school or college students, 25 of whom were Alaska Native, who were currently attending or had attended Alaska Native Science & Engineering Program (ANSEP) Precollege components in high school. Self-determination theory was used as this study's theoretical framework to develop the semi-structured interview questions and also analyze the interviews. A thematic approach was used to analyze the interviews. The results of this study indicated that ANSEP helped the Alaska Native high school students gain a sense of autonomy, competence, and relatedness in order to be motivated to take advanced mathematics and science courses in high school or before college. In particular, Alaska Native high school students described that relatedness was an important element to them being motivated to take advanced mathematics and science courses. More specifically, participants reported that the Alaska Native community developed at the ANSEP Building and the relationships they developed with their Alaska Native high school peers and staff played an influential role in the motivation of these students. These findings are important because research suggests that autonomy and competence are more important elements than relatedness because they generate or maintain intrinsic motivation. Alaska Native high school students reported that ANSEP was more successful in helping them gain a sense of competence and relatedness than at helping them gain a sense of autonomy. More specifically, the reason the participants did not feel ANSEP developed their sense of autonomy was because ANSEP restricted their actions during the ANSEP Precollege study sessions. My study implies that Alaska Native students need to feel like they belong in order to be motivated to take and succeed at taking advanced mathematics and science courses. Educators and STEM program leaders should incorporate elements of belonging into the educational environments they develop for their Alaska Native students. Future research should be conducted to determine if other racial minority students need to feel like they belong in order to be motivated to take and succeed at taking advanced mathematics and science courses. My study also indicated that Alaska Native students were motivated to take advanced mathematics and science courses by knowing ANSEP would support them in future programming because of its longitudinal approach. Funding agencies of STEM programs should consider funding programs that provide a longitudinal approach to help Alaska Native students' sense of competence grow. Future research should include studying other STEM programs to determine if they are motivating their students to take and succeed in advanced mathematics and science courses.
Mastery with Meaning: Access to Mathematics Online
ERIC Educational Resources Information Center
Kennedy, Paul; Ellis, Wade; Oien, Janet; Benoit, Steven
2007-01-01
Mastery approaches with online Internet platforms have been shown to alleviate many students' deficiencies and open the door to higher mathematics. This paper details some current programs using online learning for precalculus courses, and detail how the research affected the design, development, and implementation of a new online approach…
ERIC Educational Resources Information Center
Boronico, Jess; Murdy, Jim; Kong, Xinlu
2014-01-01
This manuscript proposes a mathematical model to address faculty sufficiency requirements towards assuring overall high quality management education at a global university. Constraining elements include full-time faculty coverage by discipline, location, and program, across multiple campus locations subject to stated service quality standards of…
A Platform for Development of Mathematical Games on Silverlight
ERIC Educational Resources Information Center
Radakovic, Davorka; Herceg, Dorde
2013-01-01
Dynamic geometry software (DGS) is often used for development of interactive teaching materials in many subjects, not only mathematics. These interactive materials can contain hundreds of elements in order to represent complex objects, and script programs to control their behavior. We propose an approach for creating, importing and using…
Mathematics and Literature: An Approach to Success.
ERIC Educational Resources Information Center
Burnett, Sara Jane; Wichman, Ann Marie
This paper describes a program for minimizing students' inability to relate present day school mathematics to real-world experiences, including the high-tech communities around them. The targeted population consisted of second grade elementary students in a growing middle class community located in a suburb of a large metropolitan area in the…
Job-Embedded Professional Development: Its Impact on Teacher Self-Efficacy and Student Performance
ERIC Educational Resources Information Center
Althauser, Krista
2015-01-01
A quantitative approach was used to investigate the impact of a district-wide, job-embedded mathematics professional development program on elementary teachers' general and personal efficacy. This investigation was based on the principles of mathematics professional development, efficacy theory, and student achievement. It was designed to…
Correlated Curriculum Program: An Experimental Program, Mathematics Level 1. Project No. 10006.
ERIC Educational Resources Information Center
Magram, Elyse; And Others
The Correlated Curriculum Program is a 4-year career-oriented program designed to provide a more effective educational program for the general course student, with an interdisciplinary approach to teaching. Teachers are organized into teams to plan for correlated lessons. Correlating career subjects with academic subjects serves to reinforce…
SYSTEMS ANALYSIS, * WATER SUPPLIES, MATHEMATICAL MODELS, OPTIMIZATION, ECONOMICS, LINEAR PROGRAMMING, HYDROLOGY, REGIONS, ALLOCATIONS, RESTRAINT, RIVERS, EVAPORATION, LAKES, UTAH, SALVAGE, MINES(EXCAVATIONS).
Proceedings of the 1977 MACSYMA users' conference (NASA)
NASA Technical Reports Server (NTRS)
1977-01-01
The MACSYMA program for symbolic and algebraic manipulation enables exact, symbolic mathematical computations to be performed on a computer. This program is rather large, and various approaches to the hardware and software problems are examined.
Mathematics education and students with learning disabilities: introduction to the special series.
Rivera, D P
1997-01-01
The prevalence of students with mathematics learning disabilities has triggered an interest among special education researchers and practitioners in developing an understanding of the needs of this group of students, and in identifying effective instructional programming to foster their mathematical performance during the school years and into adulthood. Research into the characteristics of students with mathematics learning disabilities is being approached from different perspectives, including developmental, neurological and neuropsychological, and educational. This diversity helps us develop a broader understanding of students' learning needs and difficulties. Special education assessment practices encompass a variety of approaches, including norm-referenced, criterion-referenced, and nonstandardized procedures, depending on the specific assessment questions professionals seek to answer. Students' mathematical knowledge and conceptual understanding must be examined to determine their strengths and weaknesses, curriculum-based progress, and use of cognitive strategies to arrive at mathematical solutions. Research findings have identified empirically validated interventions for teaching mathematics curricula to students with mathematics learning disabilities. Research studies have been grounded in behavioral theory and cognitive psychology, with an emergent interest in the constructivist approach. Although research studies have focused primarily on computational performance, more work is being conducted in the areas of story-problem solving and technology. These areas as well as other math curricular skills require further study. Additionally, the needs of adults with math LD have spurred educators to examine the elementary and secondary math curricula and determine ways to infuse them with life skills instruction accordingly. As the field of mathematics special education continues to evolve, special educators must remain cognizant of the developments in and influences on the field of mathematics education. Reform efforts have shaped the field significantly since the 1950s, contributing to the curriculum offered in mathematics textbooks and the pedagogical practices taught in higher education courses. Mathematics educators continue to search for a better understanding of how children learn mathematics; this process is shaped by the prevailing theoretical orientations and research methodologies. This special series in mathematics special education provides readers with information about the characteristics of students with mathematics learning disabilities, assessment procedures, mathematics programming, teacher preparation, and future directions for the field. The series originated as a result of discussions with Dr. Lee Wiederholt and Dr. Judith K. Voress, who saw a need for the compilation of recent research and best practices in mathematics special education. I thank them for their support of and thoughtful insights about the development of this series. I also appreciate the support of Dr. George Hynd and his editorial assistant, Kathryn Black, in finalizing the details for publication. Finally, I am most appreciative of the authors' contributions to this series; their work continues to significantly influence the development of the field of mathematics special education and programming for students with mathematics learning disabilities.
Exploring the Synergies between the Object Oriented Paradigm and Mathematics: A Java Led Approach
ERIC Educational Resources Information Center
Conrad, Marc; French, Tim
2004-01-01
While the object oriented paradigm and its instantiation within programming languages such as Java has become a ubiquitous part of both the commercial and educational landscapes, its usage as a visualization technique within mathematics undergraduate programmes of study has perhaps been somewhat underestimated. By regarding the object oriented…
ERIC Educational Resources Information Center
Letwinsky, Karim Medico; Cavender, Monica
2018-01-01
Many preservice teacher (PST) programs throughout the world are preparing students to implement the Core Standards, which require deeper conceptual understandings of mathematics and an informed approach for teaching. In this qualitative multi-case study, researchers explored the teaching methods for two university instructors and changes in PSTs…
Assessing Student Learning in Gender Inclusive Tertiary Mathematics and Physics Education.
ERIC Educational Resources Information Center
Wistedt, Inger
1998-01-01
The merits and limitations of an alternative assessment method implemented in an inclusive university education program are discussed based on data from a study in which 24 Swedish university students presented mathematics and physics project results. The study shows how an interdisciplinary approach to assessment can promote critical reflection…
Gartner, Daniel; Zhang, Yiye; Padman, Rema
2018-06-01
Order sets are a critical component in hospital information systems that are expected to substantially reduce physicians' physical and cognitive workload and improve patient safety. Order sets represent time interval-clustered order items, such as medications prescribed at hospital admission, that are administered to patients during their hospital stay. In this paper, we develop a mathematical programming model and an exact and a heuristic solution procedure with the objective of minimizing physicians' cognitive workload associated with prescribing order sets. Furthermore, we provide structural insights into the problem which lead us to a valid lower bound on the order set size. In a case study using order data on Asthma patients with moderate complexity from a major pediatric hospital, we compare the hospital's current solution with the exact and heuristic solutions on a variety of performance metrics. Our computational results confirm our lower bound and reveal that using a time interval decomposition approach substantially reduces computation times for the mathematical program, as does a K -means clustering based decomposition approach which, however, does not guarantee optimality because it violates the lower bound. The results of comparing the mathematical program with the current order set configuration in the hospital indicates that cognitive workload can be reduced by about 20.2% by allowing 1 to 5 order sets, respectively. The comparison of the K -means based decomposition with the hospital's current configuration reveals a cognitive workload reduction of about 19.5%, also by allowing 1 to 5 order sets, respectively. We finally provide a decision support system to help practitioners analyze the current order set configuration, the results of the mathematical program and the heuristic approach.
A dynamic model of functioning of a bank
NASA Astrophysics Data System (ADS)
Malafeyev, Oleg; Awasthi, Achal; Zaitseva, Irina; Rezenkov, Denis; Bogdanova, Svetlana
2018-04-01
In this paper, we analyze dynamic programming as a novel approach to solve the problem of maximizing the profits of a bank. The mathematical model of the problem and the description of bank's work is described in this paper. The problem is then approached using the method of dynamic programming. Dynamic programming makes sure that the solutions obtained are globally optimal and numerically stable. The optimization process is set up as a discrete multi-stage decision process and solved with the help of dynamic programming.
Microcomputer Applications for Teaching Microeconomic Concepts: Some Old and New Approaches.
ERIC Educational Resources Information Center
Smith, L. Murphy; Smith, L. C., Jr.
1989-01-01
Presents microcomputer programs and programing techniques and demonstrates how these programs can be used by teachers to explain economics concepts and to help students make judgments. Each microcomputer application is supplemented by traditional graphic and mathematical analysis. Discusses applications dealing with supply, demand, elasticity,…
ERIC Educational Resources Information Center
Akron Public Schools, OH.
This report of an academic day camp program for disadvantaged inner-city children includes a description of the program as well as an evaluation based on staff recommendations and standardized test scores. The program provides an all-day experience with an individualized approach to improvement in reading and mathematics skills; in the afternoon,…
Chen, Liang-Hsuan; Hsueh, Chan-Ching
2007-06-01
Fuzzy regression models are useful to investigate the relationship between explanatory and response variables with fuzzy observations. Different from previous studies, this correspondence proposes a mathematical programming method to construct a fuzzy regression model based on a distance criterion. The objective of the mathematical programming is to minimize the sum of distances between the estimated and observed responses on the X axis, such that the fuzzy regression model constructed has the minimal total estimation error in distance. Only several alpha-cuts of fuzzy observations are needed as inputs to the mathematical programming model; therefore, the applications are not restricted to triangular fuzzy numbers. Three examples, adopted in the previous studies, and a larger example, modified from the crisp case, are used to illustrate the performance of the proposed approach. The results indicate that the proposed model has better performance than those in the previous studies based on either distance criterion or Kim and Bishu's criterion. In addition, the efficiency and effectiveness for solving the larger example by the proposed model are also satisfactory.
ERIC Educational Resources Information Center
Dumont, Richard G.; And Others
A multiple-indicator and multiple-design approach for evaluating the quality of basic skills programs in reading, writing, and mathematics that has been implemented within a statewide system of higher education in the southeastern United States was assessed. Several of the evaluation methodologies are compared in order to determine whether results…
Maton, Kenneth I; Pollard, Shauna A; McDougall Weise, Tatiana V; Hrabowski, Freeman A
2012-01-01
The Meyerhoff Scholars Program at the University of Maryland, Baltimore County is widely viewed as a national model of a program that enhances the number of underrepresented minority students who pursue science, technology, engineering, and mathematics PhDs. The current article provides an overview of the program and the institution-wide change process that led to its development, as well as a summary of key outcome and process evaluation research findings. African American Meyerhoff students are 5× more likely than comparison students to pursue a science, technology, engineering, and mathematics PhD. Program components viewed by the students as most beneficial include financial scholarship, being a part of the Meyerhoff Program community, the Summer Bridge program, study groups, and summer research. Qualitative findings from interviews and focus groups demonstrate the importance of the Meyerhoff Program in creating a sense of belonging and a shared identity, encouraging professional development, and emphasizing the importance of academic skills. Among Meyerhoff students, several precollege and college factors have emerged as predictors of successful entrance into a PhD program in the science, technology, engineering, and mathematics fields, including precollege research excitement, precollege intrinsic math/science motivation, number of summer research experiences during college, and college grade point average. Limitations of the research to date are noted, and directions for future research are proposed. © 2012 Mount Sinai School of Medicine.
ERIC Educational Resources Information Center
Riley, Nicholas; Lubans, David; Holmes, Kathryn; Hansen, Vibeke; Gore, Jennifer; Morgan, Philip
2017-01-01
There has been a worldwide decline in interest and achievement in mathematics in young people. Despite the extensive benefits of physical activity, the majority of children are not sufficiently active. Schools have the potential to arrest both concerns through innovative teaching that challenges and complements traditional approaches. The aim of…
Using Mentoring and Professional Development Approaches to Educate Urban Mathematics Teachers
ERIC Educational Resources Information Center
Fraser-Abder, Pamela
2005-01-01
Due to the dearth of qualified professional teachers, policymakers and professional development programs need to focus on improving the quality of high school mathematics teaching in order to diffuse this crisis. In the middle of this crisis, the demand for new teachers is predicted to rise significantly in the next ten years. Based on the…
ERIC Educational Resources Information Center
Vajravelu, Kuppalapalle; Muhs, Tammy
2016-01-01
Successful science and engineering programs require proficiency and dynamics in mathematics classes to enhance the learning of complex subject matter with a sufficient amount of practical problem solving. Improving student performance and retention in mathematics classes requires inventive approaches. At the University of Central Florida (UCF) the…
METLIN-PC: An applications-program package for problems of mathematical programming
DOE Office of Scientific and Technical Information (OSTI.GOV)
Pshenichnyi, B.N.; Sobolenko, L.A.; Sosnovskii, A.A.
1994-05-01
The METLIN-PC applications-program package (APP) was developed at the V.M. Glushkov Institute of Cybernetics of the Academy of Sciences of Ukraine on IBM PC XT and AT computers. The present version of the package was written in Turbo Pascal and Fortran-77. The METLIN-PC is chiefly designed for the solution of smooth problems of mathematical programming and is a further development of the METLIN prototype, which was created earlier on a BESM-6 computer. The principal property of the previous package is retained - the applications modules employ a single approach based on the linearization method of B.N. Pschenichnyi. Hence the namemore » {open_quotes}METLIN.{close_quotes}« less
Student Approaches to Learning in Relation to Online Course Completion
ERIC Educational Resources Information Center
Balter, Olle; Cleveland-Innes, Martha; Pettersson, Kerstin; Scheja, Max; Svedin, Maria
2013-01-01
This study investigates the relationship between approaches to studying and course completion in two online preparatory university courses in mathematics and computer programming. The students participating in the two courses are alike in age, gender, and approaches to learning. Four hundred and ninety-three students participating in these courses…
Science Education Attuned to Social Issues: Challenge for the '80s.
ERIC Educational Resources Information Center
Yager, Robert E.; And Others
1981-01-01
Provides rationale for interdisciplinary science curricula which emphasize decision-making skills. Includes examples of interdisciplinary curricula using an issue-centered approach: Unified Science and Mathematics for Elementary School (USMES), Health Activities Program (HAP), Human Sciences Program (HSP), Individualized Science Instructional…
NASA Technical Reports Server (NTRS)
Sharma, Naveen
1992-01-01
In this paper we briefly describe a combined symbolic and numeric approach for solving mathematical models on parallel computers. An experimental software system, PIER, is being developed in Common Lisp to synthesize computationally intensive and domain formulation dependent phases of finite element analysis (FEA) solution methods. Quantities for domain formulation like shape functions, element stiffness matrices, etc., are automatically derived using symbolic mathematical computations. The problem specific information and derived formulae are then used to generate (parallel) numerical code for FEA solution steps. A constructive approach to specify a numerical program design is taken. The code generator compiles application oriented input specifications into (parallel) FORTRAN77 routines with the help of built-in knowledge of the particular problem, numerical solution methods and the target computer.
ERIC Educational Resources Information Center
Buffie, Edward G.
The Block Program is one of five major options at Indiana University, Bloomington, for students preparing to become elementary teachers. The project emphasizes team approach to instruction; flexibility of program; carefully articulated work with respect to preparation in language arts, mathematics, science, and social studies; carefully…
Basic BASIC; An Introduction to Computer Programming in BASIC Language.
ERIC Educational Resources Information Center
Coan, James S.
With the increasing availability of computer access through remote terminals and time sharing, more and more schools and colleges are able to introduce programing to substantial numbers of students. This book is an attempt to incorporate computer programming, using BASIC language, and the teaching of mathematics. The general approach of the book…
ERIC Educational Resources Information Center
Lynch, Joanne
Cognitive Academic Language Learning Approach (Project CALLA) was a federally funded program serving 960 limited-English-proficient students in 10 Manhattan (New York) elementary schools in 1992-93 its third year of operation. The project provided instruction in English as a Second Language (ESL), mathematics, science, and social studies in…
Women's self-efficacy perceptions in mathematics and science: Investigating USC-MESA students
NASA Astrophysics Data System (ADS)
Hong, Rebecca Cheng-Shun
This study is an investigation into female high school seniors in the USC-MESA program and how the role of self-efficacy perceptions in mathematics and science relates to their college major choice. Bandura's theory on self-efficacy provides the backdrop for this study. This study is qualitative and takes an ethnographic approach incorporating 23 interviews, 2 focus groups, 49.5 hours of observation, and document analysis. Results show that female high school seniors participating in the USC-MESA program demonstrate a strong self-efficacy perception in mathematics and science through their academic choices and pursuits in high school and beyond. This finding confirms a linear approach in understanding how courses taken in high school contribute to the trajectory of college academic choices. It also challenges the theory of self-efficacy in math and science to examine historically underrepresented populations in the field and the external factors that play a key role in their persistence to pursue STEM fields in college and beyond.
High profile students’ growth of mathematical understanding in solving linier programing problems
NASA Astrophysics Data System (ADS)
Utomo; Kusmayadi, TA; Pramudya, I.
2018-04-01
Linear program has an important role in human’s life. This linear program is learned in senior high school and college levels. This material is applied in economy, transportation, military and others. Therefore, mastering linear program is useful for provision of life. This research describes a growth of mathematical understanding in solving linear programming problems based on the growth of understanding by the Piere-Kieren model. Thus, this research used qualitative approach. The subjects were students of grade XI in Salatiga city. The subjects of this study were two students who had high profiles. The researcher generally chose the subjects based on the growth of understanding from a test result in the classroom; the mark from the prerequisite material was ≥ 75. Both of the subjects were interviewed by the researcher to know the students’ growth of mathematical understanding in solving linear programming problems. The finding of this research showed that the subjects often folding back to the primitive knowing level to go forward to the next level. It happened because the subjects’ primitive understanding was not comprehensive.
NASA Astrophysics Data System (ADS)
Mohd Nordin, Noraimi Azlin; Md Tahir, Herniza; Kamis, Nor Hanimah; Khairul Azmi, Nurul Nisa'
2013-04-01
In general, Mathematics is one of the core subjects need to be learned by students regardless they are in primary and secondary schools. Different students might have different views and interests on Mathematics subjects. This is due to different level of thinking for each student. Students' acceptance and confidence level in learning Mathematics will depend on various factors among them. A program named "Mini Hari Matematik" was conducted in Sekolah Rendah Kebangsaan Bukit Kuda, Klang exclusively for 49 students of standard four, five and six to identify the students' perception and correlation between their confidence and anxiety in learning Mathematics. This program was intended to give exposure to the students on the importance of Mathematics in life and hence, develop their interest in learning Mathematics. We measure the students' perception on teaching and learning Mathematics using statistical approach based on SPSS. The analysis includes mean, variance, observations, correlation and so on. Based on the results obtained, it is found that there is a positive correlation between students' confidence and anxiety in learning Mathematics in their daily life. In addition, students are more attracted to Mathematics if this subject is blended with game elements in their teaching and learning process. As a conclusion, we can see that there are three basic foundations need to be developed in each of the students about Mathematics which are firstly, their early understanding on the subject itself, ability to communicate regarding this subject and how they apply this subject in decision making and problem solving. This program gives high benefit to the students in preparing them towards the science and technology era.
A Generic Software Safety Document Generator
NASA Technical Reports Server (NTRS)
Denney, Ewen; Venkatesan, Ram Prasad
2004-01-01
Formal certification is based on the idea that a mathematical proof of some property of a piece of software can be regarded as a certificate of correctness which, in principle, can be subjected to external scrutiny. In practice, however, proofs themselves are unlikely to be of much interest to engineers. Nevertheless, it is possible to use the information obtained from a mathematical analysis of software to produce a detailed textual justification of correctness. In this paper, we describe an approach to generating textual explanations from automatically generated proofs of program safety, where the proofs are of compliance with an explicit safety policy that can be varied. Key to this is tracing proof obligations back to the program, and we describe a tool which implements this to certify code auto-generated by AutoBayes and AutoFilter, program synthesis systems under development at the NASA Ames Research Center. Our approach is a step towards combining formal certification with traditional certification methods.
DOE Office of Scientific and Technical Information (OSTI.GOV)
Schwartz, J T
1975-06-01
A summary of work during the past several years on SETL, a new programming language drawing its dictions and basic concepts from the mathematical theory of sets, is presented. The work was started with the idea that a programming language modeled after an appropriate version of the formal language of mathematics might allow a programming style with some of the succinctness of mathematics, and that this might ultimately enable one to express and experiment with more complex algorithms than are now within reach. Part I discusses the general approach followed in the work. Part II focuses directly on the detailsmore » of the SETL language as it is now defined. It describes the facilities of SETL, includes short libraries of miscellaneous and of code optimization algorithms illustrating the use of SETL, and gives a detailed description of the manner in which the set-theoretic primitives provided by SETL are currently implemented. (RWR)« less
NASA Astrophysics Data System (ADS)
Giardina, M.; Buffa, P.; Cervone, A.; De Rosa, F.; Lombardo, C.; Casamirra, M.
2017-11-01
In the framework of a National Research Program funded by the Italian Minister of Economic Development, the Department of Energy, Information Engineering and Mathematical Models (DEIM) of Palermo University and ENEA Research Centre of Bologna, Italy are performing several research activities to study physical models and mathematical approaches aimed at investigating dry deposition mechanisms of radioactive pollutants. On the basis of such studies, a new approach to evaluate the dry deposition velocity for particles is proposed. Comparisons with some literature experimental data show that the proposed dry deposition scheme can capture the main phenomena involved in the dry deposition process successfully.
Assessing the Impact of a Research-Based STEM Program on STEM Majors' Attitudes and Beliefs
ERIC Educational Resources Information Center
Huziak-Clark, Tracy; Sondergeld, Toni; Staaden, Moira; Knaggs, Christine; Bullerjahn, Anne
2015-01-01
The Science, Engineering, and Technology Gateway of Ohio (SETGO) program has a three-pronged approach to meeting the needs at different levels of students in the science, technology, engineering, and mathematics (STEM) pipeline. The SETGO program was an extensive collaboration between a two-year community college and a nearby four-year…
Bridging Formal and Informal Learning Environments
ERIC Educational Resources Information Center
Barker, Bradley S.; Larson, Kim; Krehbiel, Michelle
2014-01-01
Out-of-school time programs that provide science, technology, engineering, and mathematics (STEM) educational content are promising approaches to develop skills and abilities in students. These programs may potentially inspire students with engaging hands-on, minds-on activities that encourages their natural curiosity around STEM content areas.…
NASA Astrophysics Data System (ADS)
Nugraheni, L.; Budayasa, I. K.; Suwarsono, S. T.
2018-01-01
The study was designed to discover examine the profile of metacognition of vocational high school student of the Machine Technology program that had high ability and field independent cognitive style in mathematical problem solving. The design of this study was exploratory research with a qualitative approach. This research was conducted at the Machine Technology program of the vocational senior high school. The result revealed that the high-ability student with field independent cognitive style conducted metacognition practices well. That involved the three types of metacognition activities, consisting of planning, monitoring, and evaluating at metacognition level 2 or aware use, 3 or strategic use, 4 or reflective use in mathematical problem solving. The applicability of the metacognition practices conducted by the subject was never at metacognition level 1 or tacit use. This indicated that the participant were already aware, capable of choosing strategies, and able to reflect on their own thinking before, after, or during the process at the time of solving mathematical problems.That was very necessary for the vocational high school student of Machine Technology program.
Boundary crossing and brokering between disciplines in pre-service mathematics teacher education
NASA Astrophysics Data System (ADS)
Goos, Merrilyn; Bennison, Anne
2017-12-01
In many countries, pre-service teacher education programs are structured so that mathematics content is taught in the university's mathematics department and mathematics pedagogy in the education department. Such program structures make it difficult to authentically interweave content with pedagogy in ways that acknowledge the roles of both mathematicians and mathematics educators in preparing future teachers. This article reports on a project that deliberately fostered collaboration between mathematicians and mathematics educators in six Australian universities in order to investigate the potential for learning at the boundaries between the two disciplinary communities. Data sources included two rounds of interviews with mathematicians and mathematics educators and annual reports prepared by each participating university over the three years of the project. The study identified interdisciplinary boundary practices that led to integration of content and pedagogy through new courses co-developed and co-taught by mathematicians and mathematics educators, and new approaches to building communities of pre-service teachers. It also developed an evidence-based classification of conditions that enable or hinder sustained collaboration across disciplinary boundaries, together with an empirical grounding for Akkerman and Bakker's conceptualisation of transformation as a mechanism for learning at the boundary between communities. The study additionally highlighted the ambiguous nature of boundaries and implications for brokers who work there to connect disciplinary paradigms.
Test Content Specifications for the Survey of Basic Skills; Mathematics, Grades Six and Twelve.
ERIC Educational Resources Information Center
California State Dept. of Education, Sacramento.
Under the California Assembly Bill 665 of 1972, the state assessment program must test all students in grades 1, 2, 3, 6, and 12 in reading skills, and those in grades 6 and 12 to assess their skills in effectiveness of written expression, spelling, and mathematics. The state may develop its own tests, and a matrix sampling approach may be used…
ERIC Educational Resources Information Center
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…
NASA Technical Reports Server (NTRS)
Lee, S. S.; Sengupta, S.
1978-01-01
A mathematical model package for thermal pollution analyses and prediction is presented. These models, intended as user's manuals, are three dimensional and time dependent using the primitive equation approach. Although they have sufficient generality for application at sites with diverse topographical features; they also present specific instructions regarding data preparation for program execution and sample problems. The mathematical formulation of these models is presented including assumptions, approximations, governing equations, boundary and initial conditions, numerical method of solution, and same results.
A Novel Approach to Physiology Education for Biomedical Engineering Students
ERIC Educational Resources Information Center
DiCecco, J.; Wu, J.; Kuwasawa, K.; Sun, Y.
2007-01-01
It is challenging for biomedical engineering programs to incorporate an indepth study of the systemic interdependence of cells, tissues, and organs into the rigorous mathematical curriculum that is the cornerstone of engineering education. To be sure, many biomedical engineering programs require their students to enroll in anatomy and physiology…
A Relational Algebra Query Language for Programming Relational Databases
ERIC Educational Resources Information Center
McMaster, Kirby; Sambasivam, Samuel; Anderson, Nicole
2011-01-01
In this paper, we describe a Relational Algebra Query Language (RAQL) and Relational Algebra Query (RAQ) software product we have developed that allows database instructors to teach relational algebra through programming. Instead of defining query operations using mathematical notation (the approach commonly taken in database textbooks), students…
Developing Students' "Habits of Mind" in a Mathematics Program
ERIC Educational Resources Information Center
Charbonneau, Peter C.; Jackson, Heather A.; Kobylski, Gerald C.; Roginski, Jonathan W.; Sulewski, Charles A.; Wattenberg, Frank
2009-01-01
We discuss approaches to develop and improve habits of mind in our students. Several illustrations and strategies are offered and we demonstrate how popular culture and mystery can be used to motivate students. We offer an approach to assessing the work ethic efforts of our students based on an historical approach used at the United States…
Progress in recognizing typeset mathematics
NASA Astrophysics Data System (ADS)
Fateman, Richard J.; Tokuyasu, Taku A.
1996-03-01
Printed mathematics has a number of features which distinguish it from conventional text. These include structure in two dimensions (fractions, exponents, limits), frequent font changes, symbols with variable shape (quotient bars), and substantially differing notational conventions from source to source. When compounded with more generic problems such as noise and merged or broken characters, printed mathematics offers a challenging arena for recognition. Our project was initially driven by the goal of scanning and parsing some 5,000 pages of elaborate mathematics (tables of definite integrals). While our prototype system demonstrates success on translating noise-free typeset equations into Lisp expressions appropriate for further processing, a more semantic top-down approach appears necessary for higher levels of performance. Such an approach may benefit the incorporation of these programs into a more general document processing viewpoint. We intend to release to the public our somewhat refined prototypes as utility programs in the hope that they will be of general use in the construction of custom OCR packages. These utilities are quite fast even as originally prototyped in Lisp, where they may be of particular interest to those working on 'intelligent' optical processing. Some routines have been re-written in C++ as well. Additional programs providing formula recognition and parsing also form a part of this system. It is important however to realize that distinct conflicting grammars are needed to cover variations in contemporary and historical typesetting, and thus a single simple solution is not possible.
ERIC Educational Resources Information Center
Tucker, Tommy Howard
2009-01-01
The purpose of this study was to determine the relationship between using computer-assisted instruction (CAI) size and success on the Texas Assessment of Knowledge and Skills (TAKS) mathematics exam with fifth-grade students in Texas compared to the effect of alternative improvement approaches used by a control group. Research explored the use of…
ERIC Educational Resources Information Center
CEMREL, Inc., St. Louis, MO.
This Comprehensive School Mathematics Program (CSMP) guide is divided into three major parts. The first, the Languages of Strings and Arrows, opens with a suggested lesson order. Major sections cover instructional approaches for: (1) Games with Strings, (2) Necklaces, and (3) The Table Game. A Series of appendices is included. Part 2, Geometry and…
ERIC Educational Resources Information Center
Mac Iver, Douglas J.; Balfanz, Robert; Plank, Stephan B.
1999-01-01
Two studies evaluated the Computer- and Team-Assisted Mathematics Acceleration course (CATAMA) in Talent Development Middle Schools. The first study compared growth in math achievement for 96 seventh-graders (48 of whom participated in CATAMA and 48 of whom did not); the second study gathered data from interviews with, and observations of, CATAMA…
NASA Astrophysics Data System (ADS)
Miranda Martins, Dominique
This study sought to understand how a group of pre-service teachers in a combined secondary science and mathematics teaching methods course conceptualized and experienced interdisciplinary approaches to teaching. Although knowing how to plan interdisciplinary activities is an essential teaching practice in Quebec, these pre-service teachers faced many challenges during the process of learning to teach with this approach. By using two interdisciplinary frameworks (Nikitina, 2005; Boix Mansilla & Duraising, 2007), I qualitatively analyzed the development of the pre-service teachers' prior and emerging ideas about interdisciplinarity and their ability to plan interdisciplinary teaching activities. The provincial curriculum and issues related to time greatly shaped students' conceptions about interdisciplinarity in the classroom and constrained their ability to plan for and envision the enactment of interdisciplinary lessons in secondary science and mathematics classes. In addition, images of themselves as content-specialists, self-efficacy beliefs in relation to interdisciplinary teaching, and student learning as a source of teacher motivation emerged as key factors promoting or interrupting the development of interdisciplinary teaching approaches. Examination of these factors highlights the need for teacher-education programs to provide opportunities for pre-service teachers to explore how they see themselves as educators, increase their instructional self-efficacy beliefs, and motivate them to teach in an interdisciplinary fashion.
Lipman, Dewey, and Philosophical Inquiry in the Mathematics Classroom
ERIC Educational Resources Information Center
Kennedy, Nadia Stoyanova
2012-01-01
The paper discusses Matthew Lipman's approach to inquiry as shaped and fashioned by John Dewey's model of scientific inquiry. Although Lipman's program adopted the major aspects of Dewey's pedagogy, at least two characteristics of that program stand out as radically different--his use of relatively free-form philosophical discussions to teach…
Soap films and GeoGebra in the study of Fermat and Steiner points
NASA Astrophysics Data System (ADS)
Flores, Alfinio; Park, Jungeun
2018-05-01
We discuss how mathematics and secondary mathematics education majors developed an understanding of Fermat points for the triangle as well as Steiner points for the square and regular pentagon, and also of soap film configurations between parallel plates where forces are in equilibrium. The activities included the use of soap films and the interactive geometry program GeoGebra. Students worked in small groups using these tools to investigate the properties of Fermat and Steiner points and then justified the results of their investigations using geometrical arguments. These activities are specific approaches of how to encourage prospective teachers to use physical experiments to support students' development of mathematical curiosity and mathematical justifications.
Mendyk, Aleksander; Güres, Sinan; Szlęk, Jakub; Wiśniowska, Barbara; Kleinebudde, Peter
2015-01-01
The purpose of this work was to develop a mathematical model of the drug dissolution (Q) from the solid lipid extrudates based on the empirical approach. Artificial neural networks (ANNs) and genetic programming (GP) tools were used. Sensitivity analysis of ANNs provided reduction of the original input vector. GP allowed creation of the mathematical equation in two major approaches: (1) direct modeling of Q versus extrudate diameter (d) and the time variable (t) and (2) indirect modeling through Weibull equation. ANNs provided also information about minimum achievable generalization error and the way to enhance the original dataset used for adjustment of the equations' parameters. Two inputs were found important for the drug dissolution: d and t. The extrudates length (L) was found not important. Both GP modeling approaches allowed creation of relatively simple equations with their predictive performance comparable to the ANNs (root mean squared error (RMSE) from 2.19 to 2.33). The direct mode of GP modeling of Q versus d and t resulted in the most robust model. The idea of how to combine ANNs and GP in order to escape ANNs' black-box drawback without losing their superior predictive performance was demonstrated. Open Source software was used to deliver the state-of-the-art models and modeling strategies. PMID:26101544
Mendyk, Aleksander; Güres, Sinan; Jachowicz, Renata; Szlęk, Jakub; Polak, Sebastian; Wiśniowska, Barbara; Kleinebudde, Peter
2015-01-01
The purpose of this work was to develop a mathematical model of the drug dissolution (Q) from the solid lipid extrudates based on the empirical approach. Artificial neural networks (ANNs) and genetic programming (GP) tools were used. Sensitivity analysis of ANNs provided reduction of the original input vector. GP allowed creation of the mathematical equation in two major approaches: (1) direct modeling of Q versus extrudate diameter (d) and the time variable (t) and (2) indirect modeling through Weibull equation. ANNs provided also information about minimum achievable generalization error and the way to enhance the original dataset used for adjustment of the equations' parameters. Two inputs were found important for the drug dissolution: d and t. The extrudates length (L) was found not important. Both GP modeling approaches allowed creation of relatively simple equations with their predictive performance comparable to the ANNs (root mean squared error (RMSE) from 2.19 to 2.33). The direct mode of GP modeling of Q versus d and t resulted in the most robust model. The idea of how to combine ANNs and GP in order to escape ANNs' black-box drawback without losing their superior predictive performance was demonstrated. Open Source software was used to deliver the state-of-the-art models and modeling strategies.
Logic integer programming models for signaling networks.
Haus, Utz-Uwe; Niermann, Kathrin; Truemper, Klaus; Weismantel, Robert
2009-05-01
We propose a static and a dynamic approach to model biological signaling networks, and show how each can be used to answer relevant biological questions. For this, we use the two different mathematical tools of Propositional Logic and Integer Programming. The power of discrete mathematics for handling qualitative as well as quantitative data has so far not been exploited in molecular biology, which is mostly driven by experimental research, relying on first-order or statistical models. The arising logic statements and integer programs are analyzed and can be solved with standard software. For a restricted class of problems the logic models reduce to a polynomial-time solvable satisfiability algorithm. Additionally, a more dynamic model enables enumeration of possible time resolutions in poly-logarithmic time. Computational experiments are included.
NASA Astrophysics Data System (ADS)
Lowrie, Tom; Jorgensen, Robyn
2018-03-01
Since the early 70s, there has been recognition that there are specific differences in achievement based on variables, such as gender and socio-economic background, in terms of mathematics performance. However, these differences are not unilateral but rather quite specific and relate strongly to spatial reasoning. This early work has paved the way for thinking critically about who achieves in mathematics and why. This project innovatively combines the strengths of the two Chief Investigators—Lowrie's work in spatial reasoning and Jorgensen's work in equity. The assumptions, the approach and theoretical framing used in the study unite quite disparate areas of mathematics education into a cogent research program that seeks to challenge some of the long-held views in the field of mathematics education.
Approaching mathematical model of the immune network based DNA Strand Displacement system.
Mardian, Rizki; Sekiyama, Kosuke; Fukuda, Toshio
2013-12-01
One biggest obstacle in molecular programming is that there is still no direct method to compile any existed mathematical model into biochemical reaction in order to solve a computational problem. In this paper, the implementation of DNA Strand Displacement system based on nature-inspired computation is observed. By using the Immune Network Theory and Chemical Reaction Network, the compilation of DNA-based operation is defined and the formulation of its mathematical model is derived. Furthermore, the implementation on this system is compared with the conventional implementation by using silicon-based programming. From the obtained results, we can see a positive correlation between both. One possible application from this DNA-based model is for a decision making scheme of intelligent computer or molecular robot. Copyright © 2013 Elsevier Ireland Ltd. All rights reserved.
La Paglia, Filippo; Rizzo, Rosalinda; La Barbera, Daniele
2011-01-01
The present study is aimed at analyzing the process of building and programming robots as a metacognitive tool of mathematics. Quantitative data from a study performed on a sample of students attending an Italian secondary school are described. Results showed that robotics activities may be used as a new metacognitive environment allowing students to improve their attitude towards mathematics, and to increase their attitude to reflect on themselves and on their own learning, and their higher-level control components, such as forecasting, planning, monitoring and evaluation exercises and problems related to implementation.
Optimization and Control of Agent-Based Models in Biology: A Perspective.
An, G; Fitzpatrick, B G; Christley, S; Federico, P; Kanarek, A; Neilan, R Miller; Oremland, M; Salinas, R; Laubenbacher, R; Lenhart, S
2017-01-01
Agent-based models (ABMs) have become an increasingly important mode of inquiry for the life sciences. They are particularly valuable for systems that are not understood well enough to build an equation-based model. These advantages, however, are counterbalanced by the difficulty of analyzing and using ABMs, due to the lack of the type of mathematical tools available for more traditional models, which leaves simulation as the primary approach. As models become large, simulation becomes challenging. This paper proposes a novel approach to two mathematical aspects of ABMs, optimization and control, and it presents a few first steps outlining how one might carry out this approach. Rather than viewing the ABM as a model, it is to be viewed as a surrogate for the actual system. For a given optimization or control problem (which may change over time), the surrogate system is modeled instead, using data from the ABM and a modeling framework for which ready-made mathematical tools exist, such as differential equations, or for which control strategies can explored more easily. Once the optimization problem is solved for the model of the surrogate, it is then lifted to the surrogate and tested. The final step is to lift the optimization solution from the surrogate system to the actual system. This program is illustrated with published work, using two relatively simple ABMs as a demonstration, Sugarscape and a consumer-resource ABM. Specific techniques discussed include dimension reduction and approximation of an ABM by difference equations as well systems of PDEs, related to certain specific control objectives. This demonstration illustrates the very challenging mathematical problems that need to be solved before this approach can be realistically applied to complex and large ABMs, current and future. The paper outlines a research program to address them.
Glaister, Karen
2007-05-01
To determine if the presence of mathematical and computer anxiety in nursing students affects learning of dosage calculations. The quasi-experimental study compared learning outcomes at differing levels of mathematical and computer anxiety when integrative and computer based learning approaches were used. Participants involved a cohort of second year nursing students (n=97). Mathematical anxiety exists in 20% (n=19) of the student nurse population, and 14% (n=13) experienced mathematical testing anxiety. Those students more anxious about mathematics and the testing of mathematics benefited from integrative learning to develop conditional knowledge (F(4,66)=2.52 at p<.05). Computer anxiety was present in 12% (n=11) of participants, with those reporting medium and high levels of computer anxiety performing less well than those with low levels (F(1,81)=3.98 at p<.05). Instructional strategies need to account for the presence of mathematical and computer anxiety when planning an educational program to develop competency in dosage calculations.
NASA Astrophysics Data System (ADS)
Neves, Rui Gomes; Teodoro, Vítor Duarte
2012-09-01
A teaching approach aiming at an epistemologically balanced integration of computational modelling in science and mathematics education is presented. The approach is based on interactive engagement learning activities built around computational modelling experiments that span the range of different kinds of modelling from explorative to expressive modelling. The activities are designed to make a progressive introduction to scientific computation without requiring prior development of a working knowledge of programming, generate and foster the resolution of cognitive conflicts in the understanding of scientific and mathematical concepts and promote performative competency in the manipulation of different and complementary representations of mathematical models. The activities are supported by interactive PDF documents which explain the fundamental concepts, methods and reasoning processes using text, images and embedded movies, and include free space for multimedia enriched student modelling reports and teacher feedback. To illustrate, an example from physics implemented in the Modellus environment and tested in undergraduate university general physics and biophysics courses is discussed.
Staack, Roland F; Jordan, Gregor; Heinrich, Julia
2012-02-01
For every drug development program it needs to be discussed whether discrimination between free and total drug concentrations is required to accurately describe its pharmacokinetic behavior. This perspective describes the application of mathematical simulation approaches to guide this initial decision based on available knowledge about target biology, binding kinetics and expected drug concentrations. We provide generic calculations that can be used to estimate the necessity of free drug quantification for different drug molecules. In addition, mathematical approaches are used to simulate various assay conditions in bioanalytical ligand-binding assays: it is demonstrated that due to the noncovalent interaction between the binding partners and typical assay-related interferences in the equilibrium, a correct quantification of the free drug concentration is highly challenging and requires careful design of different assay procedure steps.
ERIC Educational Resources Information Center
Lane, Tonisha B.
2016-01-01
The current study used a case study methodological approach, including document analysis, semistructured interviews, and participant observations, to investigate how a science, technology, engineering, and mathematics (STEM) enrichment program supported retention and degree attainment of underrepresented students at a large, public, predominantly…
ERIC Educational Resources Information Center
Shea, Lauren M.; Sandholtz, Judith Haymore; Shanahan, Therese B.
2018-01-01
This study investigates the impact of a professional development program that included two distinct components: strategies for infusing student-talk into grade-level lessons in science and mathematics; and school-level learning communities focused on readings and discussions of student-talk research. This article reports the program's impact on…
ERIC Educational Resources Information Center
Johnson, Jennifer Michelle
2016-01-01
Purpose: This paper aims to highlight the potential of science, technology, engineering and mathematics (STEM) summer bridge programs to promote college persistence by fostering a positive science identity among participants that is culturally consistent with the values and experiences of African American students. Design/methodology/approach:…
ERIC Educational Resources Information Center
Oxford, Rebecca L.; And Others
The Washington state Title I Migrant Program Evaluation project is a feasibility study designed to assess the suitability of existing normed criterion referenced tests to measuring mathematics achievement at grades four, five, and six. Objectives include judging the technical qualities and content of several normed criterion referenced tests;…
Research on teacher education programs: logic model approach.
Newton, Xiaoxia A; Poon, Rebecca C; Nunes, Nicole L; Stone, Elisa M
2013-02-01
Teacher education programs in the United States face increasing pressure to demonstrate their effectiveness through pupils' learning gains in classrooms where program graduates teach. The link between teacher candidates' learning in teacher education programs and pupils' learning in K-12 classrooms implicit in the policy discourse suggests a one-to-one correspondence. However, the logical steps leading from what teacher candidates have learned in their programs to what they are doing in classrooms that may contribute to their pupils' learning are anything but straightforward. In this paper, we argue that the logic model approach from scholarship on evaluation can enhance research on teacher education by making explicit the logical links between program processes and intended outcomes. We demonstrate the usefulness of the logic model approach through our own work on designing a longitudinal study that focuses on examining the process and impact of an undergraduate mathematics and science teacher education program. Copyright © 2012 Elsevier Ltd. All rights reserved.
Mathematics Ab Ovo: Hans Driesch and Entwicklungsmechanik.
Priven, Silvia Waisse; Alfonso-Goldfarb, Ana M
2009-01-01
One of the factors leading to the creation of embryology as a modern discipline at the end of the 19th century was Wilhelm Roux's formulation of the program of Entwicklungsmechanik (developmental mechanics). A look into the work of Hans Driesch, an equal contributor to developmental mechanics, may shed further light on this process. For Roux, developmental mechanics was an anatomical science, but for Driesch it was associated with a mathematical and physical approach to the natural world. Likewise, Roux used the concept of mechanics as an analogy, but Driesch used it literally. Driesch's generation had been trained in a pedagogic context that emphasized mathematics and physics, which may explain why he went a step further than Roux to state that a true "mechanics" of development required the reduction of morphogenetic problems to the known laws of physics. It is argued here that this difference in background is behind the enthusiastic adoption and further development of Roux's program by Driesch's generation, a generation that conceived Entwicklungsmechanik to be the reduction of embryological processes to "the laws of matter in motion." This same mathematical and physical mindset would underscore Driesch's later construction of entelechy as a regulating factor in embryogenesis, through mathematical analysis grounded on the notion of mathematical functions.
Applying mathematical concepts with hands-on, food-based science curriculum.
Roseno, Ashley T; Carraway-Stage, Virginia G; Hoerdeman, Callan; Díaz, Sebastián R; Eugene, Geist; Duffrin, Melani W
2015-01-01
This article addresses the current state of the mathematics education system in the United States and provides a possible solution to the contributing issues. As a result of lower performance in primary mathematics, American students are not acquiring the necessary quantitative literacy skills to become successful adults. This study analyzed the impact of the FoodMASTER Intermediate curriculum on fourth-grade student's mathematics knowledge. The curriculum is a part of the FoodMASTER Initiative, which is a compilation of programs utilizing food, a familiar and necessary part of everyday life, as a tool to teach mathematics and science. Students exposed to the curriculum completed a 20-item researcher-developed mathematics knowledge exam (Intervention n=288; Control n=194). Overall, the results showed a significant increase in mathematics knowledge from pre- to post-test. These findings suggest that students engaged in food-based science activities provided them with the context in which to apply mathematical concepts to an everyday experience. Therefore, the FoodMASTER approach was successful at improving students' mathematics knowledge while building a foundation for becoming quantitatively literate adults.
Applying mathematical concepts with hands-on, food-based science curriculum
Roseno, Ashley T.; Carraway-Stage, Virginia G.; Hoerdeman, Callan; Díaz, Sebastián R.; Eugene, Geist; Duffrin, Melani W.
2015-01-01
This article addresses the current state of the mathematics education system in the United States and provides a possible solution to the contributing issues. As a result of lower performance in primary mathematics, American students are not acquiring the necessary quantitative literacy skills to become successful adults. This study analyzed the impact of the FoodMASTER Intermediate curriculum on fourth-grade student’s mathematics knowledge. The curriculum is a part of the FoodMASTER Initiative, which is a compilation of programs utilizing food, a familiar and necessary part of everyday life, as a tool to teach mathematics and science. Students exposed to the curriculum completed a 20-item researcher-developed mathematics knowledge exam (Intervention n=288; Control n=194). Overall, the results showed a significant increase in mathematics knowledge from pre- to post-test. These findings suggest that students engaged in food-based science activities provided them with the context in which to apply mathematical concepts to an everyday experience. Therefore, the FoodMASTER approach was successful at improving students’ mathematics knowledge while building a foundation for becoming quantitatively literate adults. PMID:26494927
Minimizing the Spread in Per-Pupil Expenditures in School Finance Programs.
ERIC Educational Resources Information Center
Bruno, James E.
This paper summarizes a recent study of a mathematical approach to the allocation of State resources to local school districts. The purpose of this approach is to (1) assure the maximum utilization of resources available, (2) distribute State funds in accordance with the criteria of effectiveness imposed on the system, and (3) satisfy the…
Multidimensional Test Assembly Based on Lagrangian Relaxation Techniques. Research Report 98-08.
ERIC Educational Resources Information Center
Veldkamp, Bernard P.
In this paper, a mathematical programming approach is presented for the assembly of ability tests measuring multiple traits. The values of the variance functions of the estimators of the traits are minimized, while test specifications are met. The approach is based on Lagrangian relaxation techniques and provides good results for the two…
Using Microcomputers to Teach Non-Linear Equations at Sixth Form Level.
ERIC Educational Resources Information Center
Cheung, Y. L.
1984-01-01
Promotes the use of the microcomputer in mathematics instruction, reviewing approaches to teaching nonlinear equations. Examples of computer diagrams are illustrated and compared to textbook samples. An example of a problem-solving program is included. (ML)
A transformative model for undergraduate quantitative biology education.
Usher, David C; Driscoll, Tobin A; Dhurjati, Prasad; Pelesko, John A; Rossi, Louis F; Schleiniger, Gilberto; Pusecker, Kathleen; White, Harold B
2010-01-01
The BIO2010 report recommended that students in the life sciences receive a more rigorous education in mathematics and physical sciences. The University of Delaware approached this problem by (1) developing a bio-calculus section of a standard calculus course, (2) embedding quantitative activities into existing biology courses, and (3) creating a new interdisciplinary major, quantitative biology, designed for students interested in solving complex biological problems using advanced mathematical approaches. To develop the bio-calculus sections, the Department of Mathematical Sciences revised its three-semester calculus sequence to include differential equations in the first semester and, rather than using examples traditionally drawn from application domains that are most relevant to engineers, drew models and examples heavily from the life sciences. The curriculum of the B.S. degree in Quantitative Biology was designed to provide students with a solid foundation in biology, chemistry, and mathematics, with an emphasis on preparation for research careers in life sciences. Students in the program take core courses from biology, chemistry, and physics, though mathematics, as the cornerstone of all quantitative sciences, is given particular prominence. Seminars and a capstone course stress how the interplay of mathematics and biology can be used to explain complex biological systems. To initiate these academic changes required the identification of barriers and the implementation of solutions.
A Transformative Model for Undergraduate Quantitative Biology Education
Driscoll, Tobin A.; Dhurjati, Prasad; Pelesko, John A.; Rossi, Louis F.; Schleiniger, Gilberto; Pusecker, Kathleen; White, Harold B.
2010-01-01
The BIO2010 report recommended that students in the life sciences receive a more rigorous education in mathematics and physical sciences. The University of Delaware approached this problem by (1) developing a bio-calculus section of a standard calculus course, (2) embedding quantitative activities into existing biology courses, and (3) creating a new interdisciplinary major, quantitative biology, designed for students interested in solving complex biological problems using advanced mathematical approaches. To develop the bio-calculus sections, the Department of Mathematical Sciences revised its three-semester calculus sequence to include differential equations in the first semester and, rather than using examples traditionally drawn from application domains that are most relevant to engineers, drew models and examples heavily from the life sciences. The curriculum of the B.S. degree in Quantitative Biology was designed to provide students with a solid foundation in biology, chemistry, and mathematics, with an emphasis on preparation for research careers in life sciences. Students in the program take core courses from biology, chemistry, and physics, though mathematics, as the cornerstone of all quantitative sciences, is given particular prominence. Seminars and a capstone course stress how the interplay of mathematics and biology can be used to explain complex biological systems. To initiate these academic changes required the identification of barriers and the implementation of solutions. PMID:20810949
ERIC Educational Resources Information Center
Drew, Jennifer C.; Galindo-Gonzalez, Sebastian; Ardissone, Alexandria N.; Triplett, Eric W.
2016-01-01
The Microbiology and Cell Science (MCS) Department at the University of Florida (UF) developed a new model of a 2 + 2 program that uses a hybrid online approach to bring its science, technology, engineering, and mathematics (STEM) curriculum to students. In this paradigm, 2-year graduates transfer as online students into the Distance Education in…
ERIC Educational Resources Information Center
Quigley, Cassie F.; Herro, Dani
2016-01-01
In response to a desire to strengthen the economy, educational settings are emphasizing science, technology, engineering, and mathematics (STEM) curriculum and programs. Yet, because of the narrow approach to STEM, educational leaders continue to call for a more balanced approach to teaching and learning, which includes the arts, design, and…
ERIC Educational Resources Information Center
Jeong, Sophia; Kim, Hyoungbum
2015-01-01
Korea has recently started to implement a STEM-like approach in K-12 education, titled STEAM (Science, Technology, Engineering, Arts, and Mathematics) curriculum, to educate the next generation of students to become creative innovators. As this approach has been shown to increase educational success, it is vital to prepare and develop interest in…
Azadeh, A; Motevali Haghighi, S; Gaeini, Z; Shabanpour, N
2016-07-01
This study presents an integrated approach for analyzing the impact of macro-ergonomics factors in healthcare supply chain (HCSC) by data envelopment analysis (DEA). The case of this study is the supply chain (SC) of a real hospital. Thus, healthcare standards and macro-ergonomics factors are considered to be modeled by the mathematical programming approach. Over 28 subsidiary SC divisions with parallel missions and objectives are evaluated by analyzing inputs and outputs through DEA. Each division in this HCSC is considered as decision making unit (DMU). This approach can analyze the impact of macro-ergonomics factors on supply chain management (SCM) in healthcare sector. Also, this method ranks the relevant performance efficiencies of each HCSC. In this study by using proposed method, the most effective macro-ergonomics factor on HCSC is identified as "teamwork" issue. Also, this study would help managers to identify the areas of weaknesses in their SCM system and set improvement target plan for the related SCM system in healthcare industry. To the best of our knowledge, this is the first study for macro-ergonomics optimization of HCSC. Copyright © 2016 Elsevier Ltd and The Ergonomics Society. All rights reserved.
NASA Astrophysics Data System (ADS)
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.
NASA Technical Reports Server (NTRS)
Fleming, P.
1985-01-01
A design technique is proposed for linear regulators in which a feedback controller of fixed structure is chosen to minimize an integral quadratic objective function subject to the satisfaction of integral quadratic constraint functions. Application of a non-linear programming algorithm to this mathematically tractable formulation results in an efficient and useful computer-aided design tool. Particular attention is paid to computational efficiency and various recommendations are made. Two design examples illustrate the flexibility of the approach and highlight the special insight afforded to the designer.
NASA Astrophysics Data System (ADS)
Lachhwani, Kailash; Poonia, Mahaveer Prasad
2012-08-01
In this paper, we show a procedure for solving multilevel fractional programming problems in a large hierarchical decentralized organization using fuzzy goal programming approach. In the proposed method, the tolerance membership functions for the fuzzily described numerator and denominator part of the objective functions of all levels as well as the control vectors of the higher level decision makers are respectively defined by determining individual optimal solutions of each of the level decision makers. A possible relaxation of the higher level decision is considered for avoiding decision deadlock due to the conflicting nature of objective functions. Then, fuzzy goal programming approach is used for achieving the highest degree of each of the membership goal by minimizing negative deviational variables. We also provide sensitivity analysis with variation of tolerance values on decision vectors to show how the solution is sensitive to the change of tolerance values with the help of a numerical example.
The Effects of a Web-Based Mathematics Program on Student Achievement
ERIC Educational Resources Information Center
Woody, Andrea L.
2013-01-01
The purpose of this study was to investigate the impact of a Web-based mathematics program, Education Program for Gifted Youth (EPGY) Stanford Math, on mathematics achievement of fourth- through eighth-grade students in a metropolitan school district. Few studies have researched a Web-based mathematics program that provides an individualized,…
The Experiences and Effect of Two Post-Secondary Mathematics Remediation Programs
ERIC Educational Resources Information Center
Izard, Angie D.
2010-01-01
The purpose of this study was to describe the experience and effect of two post-secondary mathematics remediation programs at a Midwest university. The two mathematics remediation programs were provided as part of a summer bridge program designed to assist entering freshmen students who demonstrated low mathematics proficiency levels based on…
Attitudes toward and approaches to learning first-year university mathematics.
Alkhateeb, Haitham M; Hammoudi, Lakhdar
2006-08-01
This study examined the relationship for 180 undergraduate students enrolled in a first-year university calculus course between attitudes toward mathematics and approaches to learning mathematics using the Mathematics Attitude Scale and the Approaches to Learning Mathematics Questionnaire, respectively. Regression analyses indicated that scores for the Mathematics Attitude Scale were negatively related to scores for the Surface Approach and accounted for 10.4% of the variance and scores for the Mathematics Attitude Scale were positively related to scores for the Deep Approach to learning mathematics and accounted for 31.7% of the variance.
Computer programming in the UK undergraduate mathematics curriculum
NASA Astrophysics Data System (ADS)
Sangwin, Christopher J.; O'Toole, Claire
2017-11-01
This paper reports a study which investigated the extent to which undergraduate mathematics students in the United Kingdom are currently taught to programme a computer as a core part of their mathematics degree programme. We undertook an online survey, with significant follow-up correspondence, to gather data on current curricula and received replies from 46 (63%) of the departments who teach a BSc mathematics degree. We found that 78% of BSc degree courses in mathematics included computer programming in a compulsory module but 11% of mathematics degree programmes do not teach programming to all their undergraduate mathematics students. In 2016, programming is most commonly taught to undergraduate mathematics students through imperative languages, notably MATLAB, using numerical analysis as the underlying (or parallel) mathematical subject matter. Statistics is a very popular choice in optional courses, using the package R. Computer algebra systems appear to be significantly less popular for compulsory first-year courses than a decade ago, and there was no mention of logic programming, functional programming or automatic theorem proving software. The modal form of assessment of computing modules is entirely by coursework (i.e. no examination).
Optimal Diet Planning for Eczema Patient Using Integer Programming
NASA Astrophysics Data System (ADS)
Zhen Sheng, Low; Sufahani, Suliadi
2018-04-01
Human diet planning is conducted by choosing appropriate food items that fulfill the nutritional requirements into the diet formulation. This paper discusses the application of integer programming to build the mathematical model of diet planning for eczema patients. The model developed is used to solve the diet problem of eczema patients from young age group. The integer programming is a scientific approach to select suitable food items, which seeks to minimize the costs, under conditions of meeting desired nutrient quantities, avoiding food allergens and getting certain foods into the diet that brings relief to the eczema conditions. This paper illustrates that the integer programming approach able to produce the optimal and feasible solution to deal with the diet problem of eczema patient.
NASA Astrophysics Data System (ADS)
Akben, Nimet
2018-05-01
The interrelationship between mathematics and science education has frequently been emphasized, and common goals and approaches have often been adopted between disciplines. Improving students' problem-solving skills in mathematics and science education has always been given special attention; however, the problem-posing approach which plays a key role in mathematics education has not been commonly utilized in science education. As a result, the purpose of this study was to better determine the effects of the problem-posing approach on students' problem-solving skills and metacognitive awareness in science education. This was a quasi-experimental based study conducted with 61 chemistry and 40 physics students; a problem-solving inventory and a metacognitive awareness inventory were administered to participants both as a pre-test and a post-test. During the 2017-2018 academic year, problem-solving activities based on the problem-posing approach were performed with the participating students during their senior year in various university chemistry and physics departments throughout the Republic of Turkey. The study results suggested that structured, semi-structured, and free problem-posing activities improve students' problem-solving skills and metacognitive awareness. These findings indicated not only the usefulness of integrating problem-posing activities into science education programs but also the need for further research into this question.
Approach to Computer Implementation of Mathematical Model of 3-Phase Induction Motor
NASA Astrophysics Data System (ADS)
Pustovetov, M. Yu
2018-03-01
This article discusses the development of the computer model of an induction motor based on the mathematical model in a three-phase stator reference frame. It uses an approach that allows combining during preparation of the computer model dual methods: means of visual programming circuitry (in the form of electrical schematics) and logical one (in the form of block diagrams). The approach enables easy integration of the model of an induction motor as part of more complex models of electrical complexes and systems. The developed computer model gives the user access to the beginning and the end of a winding of each of the three phases of the stator and rotor. This property is particularly important when considering the asymmetric modes of operation or when powered by the special circuitry of semiconductor converters.
A mathematical model for municipal solid waste management - A case study in Hong Kong.
Lee, C K M; Yeung, C L; Xiong, Z R; Chung, S H
2016-12-01
With the booming economy and increasing population, the accumulation of waste has become an increasingly arduous issue and has aroused the attention from all sectors of society. Hong Kong which has a relative high daily per capita domestic waste generation rate in Asia has not yet established a comprehensive waste management system. This paper conducts a review of waste management approaches and models. Researchers highlight that mathematical models provide useful information for decision-makers to select appropriate choices and save cost. It is suggested to consider municipal solid waste management in a holistic view and improve the utilization of waste management infrastructures. A mathematical model which adopts integer linear programming and mixed integer programming has been developed for Hong Kong municipal solid waste management. A sensitivity analysis was carried out to simulate different scenarios which provide decision-makers important information for establishing Hong Kong waste management system. Copyright © 2016 Elsevier Ltd. All rights reserved.
1985-04-01
author and ProgramRationale, approach and results of Manager, and forward two copies of the reprinted - 10 to reduce spiraling weapon material to the...Technologies ADVAL STRUCTURAL 5 DESIGN/ MATERIALS P’rogram Nlam.4er 4 .’ . I...reading grade sciecnce and mathematics achieved on vanced technological societies, yet it is els It iwver tor somei rninorit\\’ groups,. national tests
NASA Technical Reports Server (NTRS)
Przekwas, A. J.; Singhal, A. K.; Tam, L. T.
1984-01-01
The capability of simulating three dimensional two phase reactive flows with combustion in the liquid fuelled rocket engines is demonstrated. This was accomplished by modifying an existing three dimensional computer program (REFLAN3D) with Eulerian Lagrangian approach to simulate two phase spray flow, evaporation and combustion. The modified code is referred as REFLAN3D-SPRAY. The mathematical formulation of the fluid flow, heat transfer, combustion and two phase flow interaction of the numerical solution procedure, boundary conditions and their treatment are described.
Visual Programming: A Programming Tool for Increasing Mathematics Achivement
ERIC Educational Resources Information Center
Swanier, Cheryl A.; Seals, Cheryl D.; Billionniere, Elodie V.
2009-01-01
This paper aims to address the need of increasing student achievement in mathematics using a visual programming language such as Scratch. This visual programming language facilitates creating an environment where students in K-12 education can develop mathematical simulations while learning a visual programming language at the same time.…
NASA Technical Reports Server (NTRS)
Butler, Ricky W.; Johnson, Sally C.
1995-01-01
This paper presents a step-by-step tutorial of the methods and the tools that were used for the reliability analysis of fault-tolerant systems. The approach used in this paper is the Markov (or semi-Markov) state-space method. The paper is intended for design engineers with a basic understanding of computer architecture and fault tolerance, but little knowledge of reliability modeling. The representation of architectural features in mathematical models is emphasized. This paper does not present details of the mathematical solution of complex reliability models. Instead, it describes the use of several recently developed computer programs SURE, ASSIST, STEM, and PAWS that automate the generation and the solution of these models.
Classification and disease prediction via mathematical programming
NASA Astrophysics Data System (ADS)
Lee, Eva K.; Wu, Tsung-Lin
2007-11-01
In this chapter, we present classification models based on mathematical programming approaches. We first provide an overview on various mathematical programming approaches, including linear programming, mixed integer programming, nonlinear programming and support vector machines. Next, we present our effort of novel optimization-based classification models that are general purpose and suitable for developing predictive rules for large heterogeneous biological and medical data sets. Our predictive model simultaneously incorporates (1) the ability to classify any number of distinct groups; (2) the ability to incorporate heterogeneous types of attributes as input; (3) a high-dimensional data transformation that eliminates noise and errors in biological data; (4) the ability to incorporate constraints to limit the rate of misclassification, and a reserved-judgment region that provides a safeguard against over-training (which tends to lead to high misclassification rates from the resulting predictive rule) and (5) successive multi-stage classification capability to handle data points placed in the reserved judgment region. To illustrate the power and flexibility of the classification model and solution engine, and its multigroup prediction capability, application of the predictive model to a broad class of biological and medical problems is described. Applications include: the differential diagnosis of the type of erythemato-squamous diseases; predicting presence/absence of heart disease; genomic analysis and prediction of aberrant CpG island meythlation in human cancer; discriminant analysis of motility and morphology data in human lung carcinoma; prediction of ultrasonic cell disruption for drug delivery; identification of tumor shape and volume in treatment of sarcoma; multistage discriminant analysis of biomarkers for prediction of early atherosclerois; fingerprinting of native and angiogenic microvascular networks for early diagnosis of diabetes, aging, macular degeneracy and tumor metastasis; prediction of protein localization sites; and pattern recognition of satellite images in classification of soil types. In all these applications, the predictive model yields correct classification rates ranging from 80% to 100%. This provides motivation for pursuing its use as a medical diagnostic, monitoring and decision-making tool.
Formally verifying Ada programs which use real number types
NASA Technical Reports Server (NTRS)
Sutherland, David
1986-01-01
Formal verification is applied to programs which use real number arithmetic operations (mathematical programs). Formal verification of a program P consists of creating a mathematical model of F, stating the desired properties of P in a formal logical language, and proving that the mathematical model has the desired properties using a formal proof calculus. The development and verification of the mathematical model are discussed.
Science, Gender, and Afterschool: A Research-Action Agenda
ERIC Educational Resources Information Center
Froschl, Merle; Sprung, Barbara; Archer, Elayne; Fancsali, Cheri
2003-01-01
This report presents a research-action agenda to enhance the role of afterschool education in increasing girls' participation in science, technology, engineering, and mathematics (STEM) courses, majors, and careers. The research-action agenda was developed for three areas: access, recruitment, and persistence; program content, approaches, and…
Teaching Mathematical Modelling for Earth Sciences via Case Studies
NASA Astrophysics Data System (ADS)
Yang, Xin-She
2010-05-01
Mathematical modelling is becoming crucially important for earth sciences because the modelling of complex systems such as geological, geophysical and environmental processes requires mathematical analysis, numerical methods and computer programming. However, a substantial fraction of earth science undergraduates and graduates may not have sufficient skills in mathematical modelling, which is due to either limited mathematical training or lack of appropriate mathematical textbooks for self-study. In this paper, we described a detailed case-study-based approach for teaching mathematical modelling. We illustrate how essential mathematical skills can be developed for students with limited training in secondary mathematics so that they are confident in dealing with real-world mathematical modelling at university level. We have chosen various topics such as Airy isostasy, greenhouse effect, sedimentation and Stokes' flow,free-air and Bouguer gravity, Brownian motion, rain-drop dynamics, impact cratering, heat conduction and cooling of the lithosphere as case studies; and we use these step-by-step case studies to teach exponentials, logarithms, spherical geometry, basic calculus, complex numbers, Fourier transforms, ordinary differential equations, vectors and matrix algebra, partial differential equations, geostatistics and basic numeric methods. Implications for teaching university mathematics for earth scientists for tomorrow's classroom will also be discussed. Refereces 1) D. L. Turcotte and G. Schubert, Geodynamics, 2nd Edition, Cambridge University Press, (2002). 2) X. S. Yang, Introductory Mathematics for Earth Scientists, Dunedin Academic Press, (2009).
NASA Astrophysics Data System (ADS)
Wallace, Eric W.; Perry, Justin C.; Ferguson, Robert L.; Jackson, Debbie K.
2015-08-01
The present study investigated the impact of a Science, Technology, Engineering, Mathematics and Health (STEM+H) university-based pipeline program, the Careers in Health and Medical Professions Program, over the course of two summers among predominantly African-American high school students recruited from urban school districts ( N = 155). Based on a mixed methods approach, results indicated that youth made significant gains in both academic and career knowledge. Furthermore, youth generally rated the program's sessions favorably, but also rated sessions with varying levels of satisfaction. The limitations and implications for program delivery and evaluation methods among pipeline programs are discussed.
Which Kind of Mathematics for Quantum Mechanics? the Relevance of H. Weyl's Program of Research
NASA Astrophysics Data System (ADS)
Drago, Antonino
In 1918 Weyl's book Das Kontinuum planned to found anew mathematics upon more conservative bases than both rigorous mathematics and set theory. It gave birth to the so-called Weyl's elementary mathematics, i.e. an intermediate mathematics between the mathematics rejecting at all actual infinity and the classical one including it almost freely. The present paper scrutinises the subsequent Weyl's book Gruppentheorie und Quantenmechanik (1928) as a program for founding anew theoretical physics - through quantum theory - and at the same time developing his mathematics through an improvement of group theory; which, according to Weyl, is a mathematical theory effacing the old distinction between discrete and continuous mathematics. Evidence from Weyl's writings is collected for supporting this interpretation. Then Weyl's program is evaluated as unsuccessful, owing to some crucial difficulties of both physical and mathematical nature. The present clear-cut knowledge of Weyl's elementary mathematics allows us to re-evaluate Weyl's program in order to look for more adequate formulations of quantum mechanics in any weaker kind of mathematics than the classical one.
An innovative approach to compensator design
NASA Technical Reports Server (NTRS)
Mitchell, J. R.
1972-01-01
The primary goal is to present for a control system a computer-aided-compensator design technique from a frequency domain point of view. The thesis for developing this technique is to describe the open loop frequency response by n discrete frequency points which result in n functions of the compensator coefficients. Several of these functions are chosen so that the system specifications are properly portrayed; then mathematical programming is used to improve all of these functions which have values below minimum standards. In order to do this several definitions in regard to measuring the performance of a system in the frequency domain are given. Next, theorems which govern the number of compensator coefficients necessary to make improvements in a certain number of functions are proved. After this a mathematical programming tool for aiding in the solution of the problem is developed. Then for applying the constraint improvement algorithm generalized gradients for the constraints are derived. Finally, the necessary theory is incorporated in a computer program called CIP (compensator improvement program).
Influences on Mathematical Preparation of Secondary School Teachers of Mathematics.
ERIC Educational Resources Information Center
Johnson, Carl S.; Byars, Jackson A.
The results of a survey related to the impact of various recommendations on preservice content programs for teachers of mathematics are reported. The content of current programs is compared to the recommendations of the Committee on Undergraduate Programs in Mathematics (CUPM). The acceptance of CUPM and the Cambridge Conference on School…
Addressing the Mathematics-Specific Needs of Beginning Mathematics Teachers
ERIC Educational Resources Information Center
Britton, Edward
2012-01-01
Beginning mathematics teachers at the secondary level (middle and high school grades) have mathematics-specific needs that induction programs should address more substantially. However, a number of issues in how programs can accomplish this are more complex than often framed in discussions occurring in the induction programs and the field of…
ERIC Educational Resources Information Center
DeLoach, Debbie
2012-01-01
Many children who have attended Georgia's prekindergarten programs are unprepared to enter kindergarten and learn a standards-based mathematics curriculum. In addition, a majority of prekindergarten programs in Georgia struggle to provide high quality mathematics instructional support for children. One such program is a childcare center located in…
NASA Astrophysics Data System (ADS)
Hill, Mary Denise
The purpose of this study was to determine whether integrating mathematics and science curriculum and teaching practices significantly improves achievement in mathematics and attitudes towards mathematics among sixth grade students in South Texas. The study was conducted during the 2001--2002 school year. A causal-comparative ex post facto research design was used to explore the effects of integrated mathematics and science classrooms compared to classrooms of traditional, isolated mathematics and science teaching practices on student achievement and student attitudes. Achievement was based on the Spring 2002 Mathematics portion of the standardized Texas Assessment of Academic Skills (TAAS) Texas Learning Index (TLI) scores and individual student's mathematics Grade Point Average (GPA). Measurement of student attitudes was based on the results of the Integrated Mathematics Attitudinal Survey (IMAS), created by the researcher for this study. The sample population included 349 Grade 6 mathematics students attending one middle school involved in a pilot program utilizing integrated mathematics/science curriculum and teaching practices in a South Texas urban school district. The research involved 337 of the 349 sixth grade students to study the effects of mathematics/science curriculum and teaching practices on achievement and 207 of the 349 sixth grade students to study the effects of mathematics/science curriculum on attitudes concerning mathematics. The data were analyzed using chi square analyses, independent samples t-tests, and the analysis of variance (ANOVA). Statistical significance was determined at the .05 level of significance. Significant relationships were found when analyzing the proficiency of mathematics skills and individual growth of mathematics achievement. Chi square analyses indicated that the students in the integrated mathematics/science classrooms were more likely to exhibit individual growth and proficiency of mathematics skills based on the results of TAAS. Independent samples t-tests indicated that students in the integrated mathematics/science program scored significantly higher than the students in the traditional program in mean achievement scores and in mean growth of scores based on the results of TAAS. No significant differences were found when comparing mathematics anxiety scores between students in the integrated mathematics/science program and the traditional program. However, additional significant differences were identified when students in the integrated mathematics/science program scored higher than the students in the traditional program when analyzing the overall mean student attitude scores concerning mathematics and the mean scores of attitudinal values of mathematics in society.
High-Productivity Computing in Computational Physics Education
NASA Astrophysics Data System (ADS)
Tel-Zur, Guy
2011-03-01
We describe the development of a new course in Computational Physics at the Ben-Gurion University. This elective course for 3rd year undergraduates and MSc. students is being taught during one semester. Computational Physics is by now well accepted as the Third Pillar of Science. This paper's claim is that modern Computational Physics education should deal also with High-Productivity Computing. The traditional approach of teaching Computational Physics emphasizes ``Correctness'' and then ``Accuracy'' and we add also ``Performance.'' Along with topics in Mathematical Methods and case studies in Physics the course deals a significant amount of time with ``Mini-Courses'' in topics such as: High-Throughput Computing - Condor, Parallel Programming - MPI and OpenMP, How to build a Beowulf, Visualization and Grid and Cloud Computing. The course does not intend to teach neither new physics nor new mathematics but it is focused on an integrated approach for solving problems starting from the physics problem, the corresponding mathematical solution, the numerical scheme, writing an efficient computer code and finally analysis and visualization.
Guidelines for the Academic Preparation of Mathematics Faculty at Two-Year Colleges.
ERIC Educational Resources Information Center
American Mathematical Association of Two-Year Colleges.
Addressed to two-year college professionals responsible for staffing and evaluating mathematics programs and university personnel responsible for programs that prepare college mathematics teachers, this document provides recommendations for training effective community college mathematics faculty adopted by the American Mathematical Association of…
Using Scratch: An Integrated Problem-Solving Approach to Mathematical Thinking
ERIC Educational Resources Information Center
Calder, Nigel
2010-01-01
"Scratch" is a media-rich digital environment that utilises a building block command structure to manipulate graphic, audio, and video aspects. It incorporates elements of Logo including "tinkerability" in the programming process. In "Scratch" students use geometric and measurement concepts such as coordinates, angle, and length measurements. It…
Mapping University Students' Epistemic Framing of Computational Physics Using Network Analysis
ERIC Educational Resources Information Center
Bodin, Madelen
2012-01-01
Solving physics problem in university physics education using a computational approach requires knowledge and skills in several domains, for example, physics, mathematics, programming, and modeling. These competences are in turn related to students' beliefs about the domains as well as about learning. These knowledge and beliefs components are…
STEM, STEM Education, STEMmania
ERIC Educational Resources Information Center
Sanders, Mark
2009-01-01
In this article, the author introduces integrative STEM (science, technology, engineering, and/or mathematics) education and discusses the importance of the program. The notion of integrative STEM education includes approaches that explore teaching and learning between/among any two or more of the STEM subject areas, and/or between a STEM subject…
Predicting Academic Success for Students of Color within STEM Majors
ERIC Educational Resources Information Center
Gipson, John
2016-01-01
Purpose: The aim of this study is to determine what pre-college characteristics predict college success for students of color enrolled within science, technology, engineering and mathematics programs, as measured by cumulative grade point average (GPA) after three years of initial enrollment. Design/methodology/approach: To increase the…
An Educative, Values-Engaged Approach to Evaluating STEM Educational Programs
ERIC Educational Resources Information Center
Greene, Jennifer C.; DeStefano, Lizanne; Burgon, Holli; Hall, Jori
2006-01-01
There is concern that the nation's schools are not preparing students to excel in science, technology, engineering, and mathematics (STEM) fields. At both precollege and postsecondary levels, much effort is needed to create and implement powerful STEM curricula, prepare and support highly qualified teachers, deliver effective instruction, and give…
The Layer-Oriented Approach to Declarative Languages for Biological Modeling
Raikov, Ivan; De Schutter, Erik
2012-01-01
We present a new approach to modeling languages for computational biology, which we call the layer-oriented approach. The approach stems from the observation that many diverse biological phenomena are described using a small set of mathematical formalisms (e.g. differential equations), while at the same time different domains and subdomains of computational biology require that models are structured according to the accepted terminology and classification of that domain. Our approach uses distinct semantic layers to represent the domain-specific biological concepts and the underlying mathematical formalisms. Additional functionality can be transparently added to the language by adding more layers. This approach is specifically concerned with declarative languages, and throughout the paper we note some of the limitations inherent to declarative approaches. The layer-oriented approach is a way to specify explicitly how high-level biological modeling concepts are mapped to a computational representation, while abstracting away details of particular programming languages and simulation environments. To illustrate this process, we define an example language for describing models of ionic currents, and use a general mathematical notation for semantic transformations to show how to generate model simulation code for various simulation environments. We use the example language to describe a Purkinje neuron model and demonstrate how the layer-oriented approach can be used for solving several practical issues of computational neuroscience model development. We discuss the advantages and limitations of the approach in comparison with other modeling language efforts in the domain of computational biology and outline some principles for extensible, flexible modeling language design. We conclude by describing in detail the semantic transformations defined for our language. PMID:22615554
The layer-oriented approach to declarative languages for biological modeling.
Raikov, Ivan; De Schutter, Erik
2012-01-01
We present a new approach to modeling languages for computational biology, which we call the layer-oriented approach. The approach stems from the observation that many diverse biological phenomena are described using a small set of mathematical formalisms (e.g. differential equations), while at the same time different domains and subdomains of computational biology require that models are structured according to the accepted terminology and classification of that domain. Our approach uses distinct semantic layers to represent the domain-specific biological concepts and the underlying mathematical formalisms. Additional functionality can be transparently added to the language by adding more layers. This approach is specifically concerned with declarative languages, and throughout the paper we note some of the limitations inherent to declarative approaches. The layer-oriented approach is a way to specify explicitly how high-level biological modeling concepts are mapped to a computational representation, while abstracting away details of particular programming languages and simulation environments. To illustrate this process, we define an example language for describing models of ionic currents, and use a general mathematical notation for semantic transformations to show how to generate model simulation code for various simulation environments. We use the example language to describe a Purkinje neuron model and demonstrate how the layer-oriented approach can be used for solving several practical issues of computational neuroscience model development. We discuss the advantages and limitations of the approach in comparison with other modeling language efforts in the domain of computational biology and outline some principles for extensible, flexible modeling language design. We conclude by describing in detail the semantic transformations defined for our language.
Impact of Online Summer Mathematics Bridge Program on Placement Scores and Pass Rates
ERIC Educational Resources Information Center
Frost, Jodi L.; Dreher, J. P.
2017-01-01
An online four-week summer mathematics bridge program was implemented at a Midwest university with historically low pass rates in College Algebra and Remedial Mathematics. Students who completed the four week program significantly increased their mathematics placement exam scores. These students also had a higher pass rate in their initial college…
ERIC Educational Resources Information Center
Lindquist, Clarence B.
Presented is a comprehensive survey of graduate and undergraduate programs in mathematics in effect during Winter and Spring of 1961. Questionnaires were mailed to 1,069 institutions which awarded degrees in mathematics or offered substantial programs in mathematics. Junior colleges and such specialized schools as Bible Colleges and seminaries,…
NASA Astrophysics Data System (ADS)
Alpaslan, Mustafa; Işıksal, Mine; Haser, Çiğdem
2014-01-01
This study examined pre-service mathematics teachers' knowledge of history of mathematics and their attitudes and beliefs towards using history of mathematics in mathematics education based on year level in teacher education program and gender. The sample included 1,593 freshman, sophomore, junior, and senior pre-service middle school (grades 4-8) mathematics teachers from nine universities in Turkey. Data were collected through Knowledge of History of Mathematics Test and Attitudes and Beliefs towards the Use of History of Mathematics in Mathematics Education Questionnaire. Results indicate that pre-service teachers have moderate knowledge of history of mathematics and positive attitudes and beliefs towards using history of mathematics. Their knowledge scores increase as the year level in teacher education program advanced. Males' knowledge scores are significantly higher than females' scores in the first 2 years. This situation reverses in the last 2 years, but it is not statistically significant. Pre-service teachers have more positive attitudes and availing beliefs towards using history of mathematics as they progress in their teacher education program. Females have greater attitudes and beliefs mean scores than males in each of the years. The results indicate that the teacher education program may have enhanced the pre-service teachers' knowledge of history of mathematics by related courses. However, the moderate knowledge scores indicate that there is a need for revision of these courses. The pre-service teachers' positive attitudes and beliefs towards using history of mathematics stress the importance of teacher education program in order to prepare them for implementing this alternative strategy in the future.
ERIC Educational Resources Information Center
Bird, Katherine; Oppland-Cordell, Sarah; Hibdon, Joseph
2016-01-01
This paper describes the development, results, and future directions of the mathematics component of the EMERGE Summer Program at Northeastern Illinois University. Initiated summer 2014, EMERGE offered English and mathematics sessions for incoming freshmen. The mathematics session aimed to strengthen participants' mathematical foundations,…
NASA Technical Reports Server (NTRS)
Tapia, R. A.; Vanrooy, D. L.
1976-01-01
A quasi-Newton method is presented for minimizing a nonlinear function while constraining the variables to be nonnegative and sum to one. The nonnegativity constraints were eliminated by working with the squares of the variables and the resulting problem was solved using Tapia's general theory of quasi-Newton methods for constrained optimization. A user's guide for a computer program implementing this algorithm is provided.
Magnetic cleanliness verification approach on tethered satellite
NASA Technical Reports Server (NTRS)
Messidoro, Piero; Braghin, Massimo; Grande, Maurizio
1990-01-01
Magnetic cleanliness testing was performed on the Tethered Satellite as the last step of an articulated verification campaign aimed at demonstrating the capability of the satellite to support its TEMAG (TEthered MAgnetometer) experiment. Tests at unit level and analytical predictions/correlations using a dedicated mathematical model (GANEW program) are also part of the verification activities. Details of the tests are presented, and the results of the verification are described together with recommendations for later programs.
ERIC Educational Resources Information Center
Celedon-Pattichis, Sylvia
This chapter describes various programs providing secondary mathematics curricula to migrant students and discusses some challenges of integrating the cultural and linguistic experiences of migrant students learning mathematics. Among the distance-education programs designed for migrant students, the University of Texas Migrant Program delivers 22…
Mathematic in science progress reort, June 1, 1973-May 31, 1974
DOE Office of Scientific and Technical Information (OSTI.GOV)
Bellman, R.
1974-01-01
The purpose of the matematical biosciences group is to use the conceptual, analytic and computational methods of modern mathematics to treat biomedical and environmental problems. We are employing a systems approach to research, beginning with experiment and medical practice at one end of the scale, continuing through the intermediary of mathematical models and computer techniques, and culminating in clinical applications working closely with teams of doctors. We are pursuing the application of biostatistical methods to a number of medical questions as well as a thoroughgoing use of operations research and systems analysis to hospital practice. The overall objective is tomore » make the Medicare program operational, effective as well as cheap. Pattern recognition and other aspects of artificial intelligence are important here for patient screening. Major efforts are devoted to nuclear medicine, radiotherapy and neurophysiology using the mathematical theory of control and decision processes (dynamic programming and invarient imbedding). Important savings have been made in the time required for tumor scanning using techniques of nuclear medicine. Major mathematical breakthroughs have been made in the treatment of large scale systems, and parameter identification processes. In the field of mental health, we have developed and extended the computerized simulation processes using graphics which are versatile tools for research and training in human interaction processes, particularly in the initial psychotherapy interview.« less
Improving the Graduate School Experience for Women in Mathematics: the Edge Program
NASA Astrophysics Data System (ADS)
Bozeman, Sylvia T.; Hughes, Rhonda J.
For over a decade, Spelman College and Bryn Mawr College have collaborated on initiatives designed to increase the presence of women, with a special focus on women of color, in the upper ranks of mathematical science. The most recent initiative is the EDGE Program (Enhancing Diversity in Graduate Education), which addresses this challenge by attempting to decrease the loss of talent from U.S. graduate programs. To this end, the program provides structures that help women make successful transitions from undergraduate into graduate mathematics programs, redirect or refocus their ambitions when programs are inappropriate or unsuitable, and, ultimately, enable them to "accumulate advantages" that will empower them and foster success in their careers. A broader goal of this program is to diversify the mathematics community by creating models for mathematics programs that allow people from all backgrounds and cultures to thrive, advance, and contribute to the profession.
ERIC Educational Resources Information Center
Harder, Annie K.; And Others
The effectiveness of a loan program in providing an incentive for students to prepare for mathematics and/or science teaching in Washington State is described in this report. It is the third of a three part report to the Washington State Legislature regarding the Teacher Incentive Loan Program for Mathematics and Science. Recipients of forgiveness…
The Impact of an Online Tutoring Program on Mathematics Achievement
ERIC Educational Resources Information Center
Clark, Amy K.; Whetstone, Patti
2014-01-01
The authors explored the impact of an online tutoring program, Math Whizz (Whizz Education, 2014), on student mathematics achievement at 15 elementary schools. Students participated in the use of the Math Whizz program for the duration of the school year as a supplement to mathematics instruction. The Math Whizz program recorded such information…
Mathematical literacy skills of students' in term of gender differences
NASA Astrophysics Data System (ADS)
Lailiyah, Siti
2017-08-01
Good mathematical literacy skills will hopefully help maximize the tasks and role of the prospective teacher in activities. Mathematical literacy focus on students' ability to analyze, justify, and communicate ideas effectively, formulate, solve and interpret mathematical problems in a variety of forms and situations. The purpose of this study is to describe the mathematical literacy skills of the prospective teacher in term of gender differences. This research used a qualitative approach with a case study. Subjects of this study were taken from two male students and two female students of the mathematics education prospective teacher who have followed Community Service Program (CSP) in literacy. Data were collected through methods think a loud and interviews. Four prospective teachers were asked to fill mathematical literacy test and video taken during solving this test. Students are required to convey loud what he was thinking when solving problems. After students get the solution, researchers grouped the students' answers and results think aloud. Furthermore, the data are grouped and analyzed according to indicators of mathematical literacy skills. Male students have good of each indicator in mathematical literacy skills (the first indicator to the sixth indicator). Female students have good of mathematical literacy skills (the first indicator, the second indicator, the third indicator, the fourth indicator and the sixth indicator), except for the fifth indicators that are enough.
NASA Astrophysics Data System (ADS)
Abdul Hadi, Normi; Mohd Noor, Norlenda; Abd Halim, Suhaila; Alwadood, Zuraida; Khairol Azmi, Nurul Nisa'
2013-04-01
Mathematics is a basic subject in primary and secondary schools. Early exposure to mathematics is very important since it will affect the student perception towards this subject for their entire life. Therefore, a program called 'Mini Hari Matematik' was conducted to expose the basic mathematics concept through some games which fit the knowledge of Standard four and five students. A questionnaire regarding student perception towards this subject was distributed before and after the program. From the analysis, the program has positively changed the student's perception towards mathematics.
NASA Astrophysics Data System (ADS)
Prabawanto, S.
2018-05-01
This research aims to investigate the enhancement of students’ mathematical self- efficacy through teaching with metacognitive scaffolding approach. This research used a quasi- experimental design with pre-post respon control. The subjects were pre-service elementary school teachers in a state university in Bandung. In this study, there were two groups: experimental and control groups. The experimental group consists of 60 students who acquire teaching mathematics under metacognitive approach, while the control group consists of 58 students who acquire teaching mathematics under direct approach. Students were classified into three categories based on the mathematical prior ability, namely high, middle, and low. Data collection instruments consist of mathematical self-efficacy instruments. By using mean difference test, two conclusions of the research: (1) there is a significant difference in the enhancement of mathematical self-efficacy between the students who attended the course under metacognitive scaffolding approach and students who attended the course under direct approach, and (2) there is no significant interaction effect of teaching approaches and ability level based on the mathematical prior ability toward enhancement of students’ mathematical self-efficacy.
NASA Astrophysics Data System (ADS)
Kahveci, Ajda
National reports such as National Science Foundation's highlight women's disproportionate distribution and differential treatment in the science, mathematics, and engineering (SM&E) fields, in both education and the workforce in the US. Women are less likely than men to choose a career that involves SM&E, and are more likely than men to earn bachelor's degrees in non-science and non-engineering fields. The need for support and encouragement is obvious for women already in college intending to pursue a major in a SM&E field. Comprehensive support networks can be and are established through programs for women entering college and willing to pursue careers in SM&E fields. The context of this research was the Program for Women in Science, Engineering and Mathematics (PWISEM) established in 2001 by a Southern teaching and research university in the US. I constructed a thorough theoretical lens by interweaving the theory of situated learning/legitimate peripheral participation and the cultural-historical activity theory. I explored the interactions and contradictions that affected the science identity formation of the PWISEM students, how they identified themselves as future scientists, and the key factors PWISEM involved in motivating and supporting women students in their intended SM&E majors. The design of the research was dominant-less dominant, the dominant approach being qualitative and the less-dominant being quantitative. The Program was successful in fostering the participation and retention of undergraduate women in SM&E. However, the women in the Program were more likely to internalize the status quo in the SM&E realms without actively challenging it (liberal feminist approach). To change the masculine culture embedded in SM&E, engaging in activism is essential. This research suggests that in fact, programs like PWISEM provide promising contexts for reforming the SM&E culture to be more appealing and inclusive of all. I suggest that there can be both explicit and implicit ways of transformation within such contexts and argue that the implicit approach is more powerful. This research also informs the theory of situated learning in that newcomer interactions are a key aspect and their actions should be understood to involve much more than knowledge circulation.
Ellington, Roni; Wachira, James
2010-01-01
The focus of this Research Experience for Undergraduates (REU) project was on RNA secondary structure prediction by using a lattice walk approach. The lattice walk approach is a combinatorial and computational biology method used to enumerate possible secondary structures and predict RNA secondary structure from RNA sequences. The method uses discrete mathematical techniques and identifies specified base pairs as parameters. The goal of the REU was to introduce upper-level undergraduate students to the principles and challenges of interdisciplinary research in molecular biology and discrete mathematics. At the beginning of the project, students from the biology and mathematics departments of a mid-sized university received instruction on the role of secondary structure in the function of eukaryotic RNAs and RNA viruses, RNA related to combinatorics, and the National Center for Biotechnology Information resources. The student research projects focused on RNA secondary structure prediction on a regulatory region of the yellow fever virus RNA genome and on an untranslated region of an mRNA of a gene associated with the neurological disorder epilepsy. At the end of the project, the REU students gave poster and oral presentations, and they submitted written final project reports to the program director. The outcome of the REU was that the students gained transferable knowledge and skills in bioinformatics and an awareness of the applications of discrete mathematics to biological research problems. PMID:20810968
Ellington, Roni; Wachira, James; Nkwanta, Asamoah
2010-01-01
The focus of this Research Experience for Undergraduates (REU) project was on RNA secondary structure prediction by using a lattice walk approach. The lattice walk approach is a combinatorial and computational biology method used to enumerate possible secondary structures and predict RNA secondary structure from RNA sequences. The method uses discrete mathematical techniques and identifies specified base pairs as parameters. The goal of the REU was to introduce upper-level undergraduate students to the principles and challenges of interdisciplinary research in molecular biology and discrete mathematics. At the beginning of the project, students from the biology and mathematics departments of a mid-sized university received instruction on the role of secondary structure in the function of eukaryotic RNAs and RNA viruses, RNA related to combinatorics, and the National Center for Biotechnology Information resources. The student research projects focused on RNA secondary structure prediction on a regulatory region of the yellow fever virus RNA genome and on an untranslated region of an mRNA of a gene associated with the neurological disorder epilepsy. At the end of the project, the REU students gave poster and oral presentations, and they submitted written final project reports to the program director. The outcome of the REU was that the students gained transferable knowledge and skills in bioinformatics and an awareness of the applications of discrete mathematics to biological research problems.
New computer system simplifies programming of mathematical equations
NASA Technical Reports Server (NTRS)
Reinfelds, J.; Seitz, R. N.; Wood, L. H.
1966-01-01
Automatic Mathematical Translator /AMSTRAN/ permits scientists or engineers to enter mathematical equations in their natural mathematical format and to obtain an immediate graphical display of the solution. This automatic-programming, on-line, multiterminal computer system allows experienced programmers to solve nonroutine problems.
ERIC Educational Resources Information Center
Whitney, Todd; Hirn, Regina G.; Lingo, Amy S.
2016-01-01
In the present study, we examined the effects of a fluency-building mathematics program called Great Leaps Math on fluency of basic addition mathematics facts zero to nine and word problem solving using a multiple probe design across participants. Three elementary students with challenging behaviors and mathematics difficulty participated in the…
ERIC Educational Resources Information Center
Kutaka, T. S.; Ren, L.; Smith, W. M.; Beattie, H. L.; Edwards, C. P.; Green, J. L.; Chernyavskiy, P.; Stroup, W.; Heaton, R. M.; Lewis, W. J.
2018-01-01
This study examines the impact of the Primarily Math Elementary Mathematics Specialist program on K-3 teachers' mathematical content knowledge for teaching, attitudes toward learning mathematics, and beliefs about mathematics teaching and learning. Three cohorts of teachers participating in the program were compared to a similar group of…
NASA Astrophysics Data System (ADS)
Salmun, H.; Buonaiuto, F. S.
2016-12-01
The Catalyst Scholarship Program at Hunter College of The City University of New York (CUNY) was established with a four-year award from the National Science Foundation (NSF) to fund scholarships for academically talented but financially disadvantaged students majoring in four disciplines of science, technology, engineering and mathematics (STEM). Led by Earth scientists the Program awarded scholarships to students in their junior or senior years majoring in computer science, geosciences, mathematics and physics to create two cohorts of students that spent a total of four semesters in an interdisciplinary community. The program included mentoring of undergraduate students by faculty and graduate students (peer-mentoring), a sequence of three semesters of a one-credit seminar course and opportunities to engage in research activities, research seminars and other enriching academic experiences. Faculty and peer-mentoring were integrated into all parts of the scholarship activities. The one-credit seminar course, although designed to expose scholars to the diversity STEM disciplines and to highlight research options and careers in these disciplines, was thematically focused on geoscience, specifically on ocean and atmospheric science. The program resulted in increased retention rates relative to institutional averages. In this presentation we will discuss the process of establishing the program, from the original plans to its implementation, as well as the impact of this multidisciplinary approach to geoscience education at our institution and beyond. An overview of accomplishments, lessons learned and potential for best practices will be presented.
PSQP: Puzzle Solving by Quadratic Programming.
Andalo, Fernanda A; Taubin, Gabriel; Goldenstein, Siome
2017-02-01
In this article we present the first effective method based on global optimization for the reconstruction of image puzzles comprising rectangle pieces-Puzzle Solving by Quadratic Programming (PSQP). The proposed novel mathematical formulation reduces the problem to the maximization of a constrained quadratic function, which is solved via a gradient ascent approach. The proposed method is deterministic and can deal with arbitrary identical rectangular pieces. We provide experimental results showing its effectiveness when compared to state-of-the-art approaches. Although the method was developed to solve image puzzles, we also show how to apply it to the reconstruction of simulated strip-shredded documents, broadening its applicability.
ERIC Educational Resources Information Center
Lansiquot, Reneta D., Ed.
2016-01-01
This book highlights models for promoting interdisciplinary thinking and an appreciation for interdisciplinary understanding among students in STEM-related fields. Students majoring in science, technology, engineering, and mathematics often perceive that courses in their major are not related to the general education liberal arts courses required…
Longitudinal Evaluation of the Computer Assisted Instruction, Title I Project, 1979-82.
ERIC Educational Resources Information Center
Lavin, Richard J.; Sanders, Jean E.
The Computer-Assisted Instruction (CAI) Project is an alternative, supplementary approach to providing reading, mathematics, and language arts instruction in schools in six northeastern Massachusetts communities. The CAI activities are provided as a supplement to instruction in Title I/Chapter I programs. Beginning in 1979, a 3-year research study…
ERIC Educational Resources Information Center
Anca, Maria; Hategan, Carolina
2009-01-01
In the given study dyscalculia is approached in the context of learning difficulties, but also in relation with damaged psychic processes and functions. The practical part of the study describes intervention models from the perspective of dyscalculia prevention and therapymaterialized in personalized intervention programs.
An Alternative Methodology for Creating Parallel Test Forms Using the IRT Information Function.
ERIC Educational Resources Information Center
Ackerman, Terry A.
The purpose of this paper is to report results on the development of a new computer-assisted methodology for creating parallel test forms using the item response theory (IRT) information function. Recently, several researchers have approached test construction from a mathematical programming perspective. However, these procedures require…
A chance constraint estimation approach to optimizing resource management under uncertainty
Michael Bevers
2007-01-01
Chance-constrained optimization is an important method for managing risk arising from random variations in natural resource systems, but the probabilistic formulations often pose mathematical programming problems that cannot be solved with exact methods. A heuristic estimation method for these problems is presented that combines a formulation for order statistic...
Manipulatives and the Computer: A Powerful Partnership for Learners of All Ages.
ERIC Educational Resources Information Center
Perl, Teri
1990-01-01
Discussed is the concept of mirroring in which computer programs are used to enhance the use of mathematics manipulatives. The strengths and weaknesses of this approach are presented. The uses of the computer in modeling and as a manipulative are also described. Several software packages are suggested. (CW)
An Analysis of a Computer Assisted Learning System: Student Perception and Reactions.
ERIC Educational Resources Information Center
Gibbs, W. J.; And Others
Within the Mathematics of Finance classes at the Smeal College of Business Administration at Penn State University, lectures are developed using Asymetric's Toolbook program and are presented through a computer system. This approach was implemented because it has the potential to convey effectively concepts that are ordinarily difficult to…
Magic SEED? A New Approach to Teaching Math Produces Some Eye-Popping Results.
ERIC Educational Resources Information Center
Shore, Debra
1991-01-01
Project SEED is a successful program that teaches elementary school students advanced math. Specialists conduct 45-minute lessons, asking questions designed to help students discover mathematical logic. Students respond with a system of SEED hand signals which allow everyone to participate and be monitored at once. (SM)
ERIC Educational Resources Information Center
Hamos, James E.; Bergin, Kathleen B.; Maki, Daniel P.; Perez, Lance C.; Prival, Joan T.; Rainey, Daphne Y.; Rowell, Ginger H.; VanderPutten, Elizabeth
2009-01-01
This article looks at how professional learning communities (PLCs) have become an operational approach for professional development with potential to de-isolate the teaching experience in the fields of science, technology, engineering, and mathematics (STEM). The authors offer a short synopsis of the intellectual origins of PLCs, provide multiple…
ERIC Educational Resources Information Center
McEvoy, Suzanne
2012-01-01
With the changing U.S. demographics, higher numbers of diverse, low-income, first-generation students are underprepared for the academic rigors of four-year institutions oftentimes requiring assistance, and remedial and/or developmental coursework in English and mathematics. Without intervention approaches these students are at high risk for…
More than an Intervention: Strategies for Increasing Diversity and Inclusion in STEM
ERIC Educational Resources Information Center
Jones, Sosanya
2016-01-01
Purpose: This paper aims to provide insight into the strategies used by leaders of graduate school preparation programs for science, technology, engineering and mathematics (STEM) to recruit and retain graduate students of color within STEM fields. Design/methodology/approach: This paper is a qualitative multiple-case study using a snowball sample…
ERIC Educational Resources Information Center
Hall, Alfred; Miro, Danielle
2016-01-01
Objective: In this study, we investigated the implementation of project-based learning (PBL) activities in four secondary science, technology, engineering, and mathematics (STEM) education settings to examine the impact of inquiry based instructional practices on student learning. Method: Direct classroom observations were conducted during the…
ERIC Educational Resources Information Center
Fiero, Diane M.
2013-01-01
Purpose: The purpose of this study was to determine which basic skills program factors were exhibited by successful basic skills programs that helped students advance to transfer-level mathematics. This study specifically examined California community college basic skills programs that assist students who place in mathematics courses 2 levels…
ERIC Educational Resources Information Center
Buchholtz, Nils; Kaiser, Gabriele
2013-01-01
Innovative programs for restructuring the entry phase of mathematics teacher education programs have been implemented at various German universities within the last few years. This article reports about the design and the results of a longitudinal evaluation study of the effectiveness of two of these programs aiming to improve mathematics teacher…
Promoting Leadership in Doctoral Programs in Mathematics Education
ERIC Educational Resources Information Center
Reys, Robert
2013-01-01
Mathematics educators have many different opportunities to reflect leadership throughout their careers. High quality doctoral programs provide a rich and stimulating environment that supports the development of leadership qualities. This paper describes some ways that leadership can be fostered in doctoral programs in mathematics education.
An Attempt of Making Program-Generated Animation in a Beginners’ Programming Class
NASA Astrophysics Data System (ADS)
Matsuyama, Chieko; Nakashima, Toyoshiro; Ishii, Naohiro
In general, mathematical subjects are used for programming education in universities. In this case, many students lose the interest in the programming because the students have the preconception that is difficult to program by using the mathematical expressions. Especially beginners of the programming are a tendency to lose the interest. Therefore it is pointed out to use the subjects which do not need mathematical knowledge as much as possible. In this paper the authors have tried to make animation that are generated by programs instead of the mathematical subjects in a beginners’ programming class using C language used in a wide-ranging field. The authors discuss about improvements of the interest of students for programming by the try that is to make animation by programs in a programming class and refer to its effects.
ERIC Educational Resources Information Center
Briede, Liene
2016-01-01
The aim of the study is to investigate the relationship between the teaching approach adopted by mathematics teachers and their 9th grade students' mathematical self. The study searched for the answers on three research questions, namely, about 1) the approaches prevailing in mathematics teachers' beliefs about effective teaching and self-reports…
Manitoba Mathematics Assessment Program, 1981. Final Report.
ERIC Educational Resources Information Center
Manitoba Dept. of Education, Winnipeg.
This document contains conclusions, recommendations, a summary of results, and interpretations of the 1981 Mathematics Assessment Program. The Assessment Program involved the production of achievement tests and teacher questionnaires for the third, sixth, ninth, and twelth-grade students. These were a test related to general mathematics skills,…
Federal Register 2010, 2011, 2012, 2013, 2014
2013-04-17
..., Engineering, and Mathematics (STEM) Programs (DFARS Case 2012-D027); Withdrawal AGENCY: Defense Acquisition... mathematics (STEM) programs. FOR FURTHER INFORMATION CONTACT: Mr. Dustin Pitsch: telephone 571-372- 6090... develop science, technology, engineering, and mathematics (STEM) programs. The purpose of this Notice is...
NASA Astrophysics Data System (ADS)
Wardono; Waluya, S. B.; Mariani, Scolastika; Candra D, S.
2016-02-01
This study aims to find out that there are differences in mathematical literacy ability in content Change and Relationship class VII Junior High School 19, Semarang by Problem Based Learning (PBL) model with an Indonesian Realistic Mathematics Education (called Pendidikan Matematika Realistik Indonesia or PMRI in Indonesia) approach assisted Elearning Edmodo, PBL with a PMRI approach, and expository; to know whether the group of students with learning PBL models with PMRI approach and assisted E-learning Edmodo can improve mathematics literacy; to know that the quality of learning PBL models with a PMRI approach assisted E-learning Edmodo has a good category; to describe the difficulties of students in working the problems of mathematical literacy ability oriented PISA. This research is a mixed methods study. The population was seventh grade students of Junior High School 19, Semarang Indonesia. Sample selection is done by random sampling so that the selected experimental class 1, class 2 and the control experiment. Data collected by the methods of documentation, tests and interviews. From the results of this study showed average mathematics literacy ability of students in the group PBL models with a PMRI approach assisted E-learning Edmodo better than average mathematics literacy ability of students in the group PBL models with a PMRI approach and better than average mathematics literacy ability of students in the expository models; Mathematics literacy ability in the class using the PBL model with a PMRI approach assisted E-learning Edmodo have increased and the improvement of mathematics literacy ability is higher than the improvement of mathematics literacy ability of class that uses the model of PBL learning with PMRI approach and is higher than the improvement of mathematics literacy ability of class that uses the expository models; The quality of learning using PBL models with a PMRI approach assisted E-learning Edmodo have very good category.
ERIC Educational Resources Information Center
Smith, Marvin E.; Swars, Susan L.; Smith, Stephanie Z.; Hart, Lynn C.; Haardorfer, Regine
2012-01-01
This longitudinal study examines the effects of changes in an elementary teacher preparation program on mathematics beliefs and content knowledge for teaching of two groups of prospective teachers (N = 276): (1) those who completed a program with three mathematics content courses and two mathematics methods courses and (2) those who completed a…
ERIC Educational Resources Information Center
Qian, Hong; Youngs, Peter
2016-01-01
This article addresses the problem of how opportunities to learn in teacher education programs influence future elementary mathematics teachers' knowledge. This study used data collected for the Teacher Education and Development Study in Mathematics (TEDS-M). TEDS-M measured the mathematics content knowledge (MCK) and the mathematics pedagogical…
NASA Astrophysics Data System (ADS)
Agustan, S.; Juniati, Dwi; Siswono, Tatag Yuli Eko
2017-08-01
Reflective thinking is an important component in the world of education, especially in professional education of teachers. In learning mathematics, reflective thinking is one way to solve mathematical problem because it can improve student's curiosity when student faces a mathematical problem. Reflective thinking is also a future competence that should be taught to students to face the challenges and to respond of demands of the 21st century. There are many factors which give impact toward the student's reflective thinking when student solves mathematical problem. One of them is cognitive style. For this reason, reflective thinking and cognitive style are important things in solving contextual mathematical problem. This research paper describes aspect of reflective thinking in solving contextual mathematical problem involved solution by using some mathematical concept, namely linear program, algebra arithmetic operation, and linear equations of two variables. The participant, in this research paper, is a male-prospective teacher who has Field Dependent. The purpose of this paper is to describe aspect of prospective teachers' reflective thinking in solving contextual mathematical problem. This research paper is a descriptive by using qualitative approach. To analyze the data, the researchers focus in four main categories which describe prospective teacher's activities using reflective thinking, namely; (a) formulation and synthesis of experience, (b) orderliness of experience, (c) evaluating the experience and (d) testing the selected solution based on the experience.
Discovery learning with SAVI approach in geometry learning
NASA Astrophysics Data System (ADS)
Sahara, R.; Mardiyana; Saputro, D. R. S.
2018-05-01
Geometry is one branch of mathematics that an important role in learning mathematics in the schools. This research aims to find out about Discovery Learning with SAVI approach to achievement of learning geometry. This research was conducted at Junior High School in Surakarta city. Research data were obtained through test and questionnaire. Furthermore, the data was analyzed by using two-way Anova. The results showed that Discovery Learning with SAVI approach gives a positive influence on mathematics learning achievement. Discovery Learning with SAVI approach provides better mathematics learning outcomes than direct learning. In addition, students with high self-efficacy categories have better mathematics learning achievement than those with moderate and low self-efficacy categories, while student with moderate self-efficacy categories are better mathematics learning achievers than students with low self-efficacy categories. There is an interaction between Discovery Learning with SAVI approach and self-efficacy toward student's mathematics learning achievement. Therefore, Discovery Learning with SAVI approach can improve mathematics learning achievement.
The Alberta K-9 Mathematics Program of Studies with Achievement Indicators
ERIC Educational Resources Information Center
Alberta Education, 2007
2007-01-01
The "Alberta K-9 Mathematics Program of Studies with Achievement Indicators" has been derived from "The Common Curriculum Framework for K-9 Mathematics: Western and Northern Canadian Protocol," May 2006 (the Common Curriculum Framework). The program of studies incorporates the conceptual framework for Kindergarten to Grade 9…
Effects of a Mathematics Cognitive Acceleration Program on Student Achievement and Motivation
ERIC Educational Resources Information Center
Finau, Teukava; Treagust, David F.; Won, Mihye; Chandrasegaran, A. L.
2018-01-01
This paper presents the effects of a cognitive acceleration program in mathematics classes on Tongan students' achievements, motivation and self-regulation. Cognitive Acceleration in Mathematics Education (CAME) is a program developed at King's College and implemented worldwide with the aim of improving students' thinking skills, mathematics…
Integration of CAI into a Freshmen Liberal Arts Math Course in the Community College.
ERIC Educational Resources Information Center
McCall, Michael B.; Holton, Jean L.
1982-01-01
Discusses four computer-assisted-instruction programs used in a college-level mathematics course to introduce computer literacy and improve mathematical skills. The BASIC programs include polynomial functions, trigonometric functions, matrix algebra, and differential calculus. Each program discusses mathematics theory and introduces programming…
Investigating Integer Restrictions in Linear Programming
ERIC Educational Resources Information Center
Edwards, Thomas G.; Chelst, Kenneth R.; Principato, Angela M.; Wilhelm, Thad L.
2015-01-01
Linear programming (LP) is an application of graphing linear systems that appears in many Algebra 2 textbooks. Although not explicitly mentioned in the Common Core State Standards for Mathematics, linear programming blends seamlessly into modeling with mathematics, the fourth Standard for Mathematical Practice (CCSSI 2010, p. 7). In solving a…
A Survey of Doctoral Programs in Mathematics Education.
ERIC Educational Resources Information Center
Sonnabend, Thomas
This nationwide survey of mathematics education professors presents and discusses rankings of mathematics education doctoral programs, tabulations of the number of doctoral dissertations produced in various programs, and the correlations between these two sets of data. Georgia, Ohio State, and Wisconsin were each mentioned by over 90% of the…
A nonlinear bi-level programming approach for product portfolio management.
Ma, Shuang
2016-01-01
Product portfolio management (PPM) is a critical decision-making for companies across various industries in today's competitive environment. Traditional studies on PPM problem have been motivated toward engineering feasibilities and marketing which relatively pay less attention to other competitors' actions and the competitive relations, especially in mathematical optimization domain. The key challenge lies in that how to construct a mathematical optimization model to describe this Stackelberg game-based leader-follower PPM problem and the competitive relations between them. The primary work of this paper is the representation of a decision framework and the optimization model to leverage the PPM problem of leader and follower. A nonlinear, integer bi-level programming model is developed based on the decision framework. Furthermore, a bi-level nested genetic algorithm is put forward to solve this nonlinear bi-level programming model for leader-follower PPM problem. A case study of notebook computer product portfolio optimization is reported. Results and analyses reveal that the leader-follower bi-level optimization model is robust and can empower product portfolio optimization.
An innovative approach to compensator design
NASA Technical Reports Server (NTRS)
Mitchell, J. R.; Mcdaniel, W. L., Jr.
1973-01-01
The design is considered of a computer-aided-compensator for a control system from a frequency domain point of view. The design technique developed is based on describing the open loop frequency response by n discrete frequency points which result in n functions of the compensator coefficients. Several of these functions are chosen so that the system specifications are properly portrayed; then mathematical programming is used to improve all of these functions which have values below minimum standards. To do this, several definitions in regard to measuring the performance of a system in the frequency domain are given, e.g., relative stability, relative attenuation, proper phasing, etc. Next, theorems which govern the number of compensator coefficients necessary to make improvements in a certain number of functions are proved. After this a mathematical programming tool for aiding in the solution of the problem is developed. This tool is called the constraint improvement algorithm. Then for applying the constraint improvement algorithm generalized, gradients for the constraints are derived. Finally, the necessary theory is incorporated in a Computer program called CIP (compensator Improvement Program). The practical usefulness of CIP is demonstrated by two large system examples.
NASA Astrophysics Data System (ADS)
Robiansyah, S. T. U.; Nanang, F.; Hidayat
2018-01-01
The purpose of this study was to introduce about mathematic assessment is a process of obtaining data or information about the mastery of a student's mathematical skills as an ingredient in preparing a learning program. With this mathematics assessment can be known obstacles, difficulties and needs of students especially in the field of mathematic, so that the learning program will be in accordance with the potential students because it is tailored to what is required of students. This research study was conducted at elementary school of inclusive precisely at SDN Sukagalih I Bandung City based learning in setting of inclusive education. This research study is motivated by the existence of a first-grade student who has disabilities learning in mathematics, the ability of the mathematical prerequisite mastery of the classification of objects by color. The results of the research can provide a profile picture of student data information, the data obtained from the results of the development of systematic and formal mathematical assessment. After doing the development of mathematics assessment then the teacher gets important related information: 1. process the analysis of students’ learning needs, especially in the field of mathematics, 2. preparing the learning program planning according to student learning needs, 3. Designing procedural of method remedial program.
Mathematics reflecting sensorimotor organization.
McCollum, Gin
2003-02-01
This review combines short presentations of several mathematical approaches that conceptualize issues in sensorimotor neuroscience from different perspectives and levels of analysis. The intricate organization of neural structures and sensorimotor performance calls for characterization using a variety of mathematical approaches. This review points out the prospects for mathematical neuroscience: in addition to computational approaches, there is a wide variety of mathematical approaches that provide insight into the organization of neural systems. By starting from the perspective that provides the greatest clarity, a mathematical approach avoids specificity that is inaccurate in characterizing the inherent biological organization. Approaches presented include the mathematics of ordered structures, motion-phase space, subject-coincident coordinates, equivalence classes, topological biodynamics, rhythm space metric, and conditional dynamics. Issues considered in this paper include unification of levels of analysis, response equivalence, convergence, relationship of physics to motor control, support of rhythms, state transitions, and focussing on low-dimensional subspaces of a high-dimensional sensorimotor space.
Annotated Bibliography of Mathematics Resources. Program Resources.
ERIC Educational Resources Information Center
Markus, Nancy L.
Two bibliographies that review 18 books and resource materials that adult educators can use to teach mathematics in adult literacy classes are included. The materials are suggested to help teachers implement an effective, successful mathematics program, using many of the strategies recommended by the National Council of Teachers of Mathematics.…
ERIC Educational Resources Information Center
Myers, Kayla D.; Swars, Susan L.; Smith, Stephanie Z.
2016-01-01
This project focuses on the development of prospective Elementary Mathematics Specialists (EMSs) in a K-5 Mathematics Endorsement Program. Program courses emphasized elementary mathematics content and pedagogy while providing opportunities for participants to evidence their learning through classroom teaching practice, all in an attempt to…
Mathematics Programs in High Schools and Two-Year Colleges.
ERIC Educational Resources Information Center
Taylor, Ross
Reviewing current conditions and projecting future directions, this paper explores trends in high school mathematics and discusses their implications for two-year college education. The first section examines the secondary school mathematics program, indicating that until now this two-track curriculum has focused on precalculus mathematics for…
Bilingual Mathematics and Science Achievement, 1988-89. Evaluation Section Report.
ERIC Educational Resources Information Center
Berney, Tomi D.; Barrera, Marbella
This report documents the evaluation of the Bilingual Mathematics and Science Achievement Program (Project BMSA) for students of limited English proficiency. The bilingual program was designed to provide intensive mathematics and science instruction, using mastery level concepts, in the native language and to incorporate mathematics and science…
ERIC Educational Resources Information Center
Posey, Johnsie Jo, Ed.; And Others
This manual is a collection of materials and teaching strategies to motivate the development of mathematical ideas in secondary school mathematics programs or in beginning college mathematics programs. The unit is written for the instructor with step-by-step procedures including lists of needed materials. The exercises in this unit also appear in…
Mathematics, Programming, and STEM
ERIC Educational Resources Information Center
Yeh, Andy; Chandra, Vinesh
2015-01-01
Learning mathematics is a complex and dynamic process. In this paper, the authors adopt a semiotic framework (Yeh & Nason, 2004) and highlight programming as one of the main aspects of the semiosis or meaning-making for the learning of mathematics. During a 10- week teaching experiment, mathematical meaning-making was enriched when primary…
NASA Astrophysics Data System (ADS)
Escontrias, Gabriel, Jr.
Latinas and Latinos are currently underrepresented in terms of our 21 st century student academic attainment and workforce, compared to the total U.S. Hispanic population. In a field such as mathematical sciences, Hispanic or Latino U.S. citizenship doctoral recipients only accounted for 3.04% in 2009--2010. While there are various initiatives to engage underrepresented STEM populations through education, there is a need to give a voice to the experiences of Latinas and Latinos engaged in such programs. This study explored the experiences of seven Arizona State University undergraduate Latina and Latino Joaquin Bustoz Math-Science Honors Program (JBMSHP) participants as well as examined how the program enhanced their math and science learning experiences. Participants attended either a five-week or eight-week program and ranged in attendance from 2006 to 2011. Students were provided an opportunity to begin university mathematics and science studies before graduating high school. Through a demographic survey and one-on-one guided interview, participants shared their personal journey, their experience in the JBMSHP, and their goals. Using grounded theory, a qualitative research approach, this study focuses on the unique experiences of Latina and Latino participants. Four major themes emerged from the analysis of the data. Each participant applied to the program with a foundation in which they sought to challenge themselves academically through mathematics and/or science. Through their involvement it the JBMSHP, participants recognized benefits during and after the program. All participants recognized the value of these benefits and their participation and praised the program. Overall, the JBMSHP provided the students the resources to grow their academic capital and if they chose seek a STEM related bachelor degree. The results of this study emphasize the need to expand the JBMSHP both within Arizona and nationally. In addition, there is a need to explore the other components of their parent center, the Mathematical, Computational and Modeling Sciences Center (MCMSC), to determine if the suggested pipeline, MCMSC Model for Enhancing the Math and Science Experiences of Latinas and Latinos, can positively impact our 21st century workforce and the dire representational need of Latinas and Latinos in STEM fields.
ERIC Educational Resources Information Center
Seaton, Daniel M.; Carr, Donna
2005-01-01
The purpose of this study was to investigate the impact of participation in a federally sponsored, short-term, cocurricular, mathematics and science program (Science Engineering Mathematics Aerospace Academy, SEMAA) on the engagement rates of sixth- and seventh-grade students in public school mathematics classes. Engagement was measured with the…
NASA Astrophysics Data System (ADS)
Azadeh, A.; Foroozan, H.; Ashjari, B.; Motevali Haghighi, S.; Yazdanparast, R.; Saberi, M.; Torki Nejad, M.
2017-10-01
ISs and ITs play a critical role in large complex gas corporations. Many factors such as human, organisational and environmental factors affect IS in an organisation. Therefore, investigating ISs success is considered to be a complex problem. Also, because of the competitive business environment and the high amount of information flow in organisations, new issues like resilient ISs and successful customer relationship management (CRM) have emerged. A resilient IS will provide sustainable delivery of information to internal and external customers. This paper presents an integrated approach to enhance and optimise the performance of each component of a large IS based on CRM and resilience engineering (RE) in a gas company. The enhancement of the performance can help ISs to perform business tasks efficiently. The data are collected from standard questionnaires. It is then analysed by data envelopment analysis by selecting the optimal mathematical programming approach. The selected model is validated and verified by principle component analysis method. Finally, CRM and RE factors are identified as influential factors through sensitivity analysis for this particular case study. To the best of our knowledge, this is the first study for performance assessment and optimisation of large IS by combined RE and CRM.
Cleary, Susan; Mooney, Gavin; McIntyre, Di
2010-10-01
The HIV-epidemic is one of the greatest public health crises to face South Africa. A health care response to the treatment needs of HIV-positive people is a prime example of the desirability of an economic, rational approach to resource allocation in the face of scarcity. Despite this, almost no input based on economic analysis is currently used in national strategic planning. While cost-utility analysis is theoretically able to establish technical efficiency, in practice this is accomplished by comparing an intervention's ICER to a threshold level representing society's maximum willingness to pay to avoid death and improve health-related quality of life. Such an approach has been criticised for a number of reasons, including that it is inconsistent with a fixed budget for health care and that equity is not taken into account. It is also impractical if no national policy on the threshold exists. As an alternative, this paper proposes a mathematical programming approach that is capable of highlighting technical efficiency, equity, the equity/efficiency trade-off and the affordability of alternative HIV-treatment interventions. Government could use this information to plan an HIV-treatment strategy that best meets equity and efficiency objectives within budget constraints.
An Improved Search Approach for Solving Non-Convex Mixed-Integer Non Linear Programming Problems
NASA Astrophysics Data System (ADS)
Sitopu, Joni Wilson; Mawengkang, Herman; Syafitri Lubis, Riri
2018-01-01
The nonlinear mathematical programming problem addressed in this paper has a structure characterized by a subset of variables restricted to assume discrete values, which are linear and separable from the continuous variables. The strategy of releasing nonbasic variables from their bounds, combined with the “active constraint” method, has been developed. This strategy is used to force the appropriate non-integer basic variables to move to their neighbourhood integer points. Successful implementation of these algorithms was achieved on various test problems.
Chowell, Gerardo; Feng, Zhilan; Song, Baojun
2013-01-01
Carlos Castilo-Chavez is a Regents Professor, a Joaquin Bustoz Jr. Professor of Mathematical Biology, and a Distinguished Sustainability Scientist at Arizona State University. His research program is at the interface of the mathematical and natural and social sciences with emphasis on (i) the role of dynamic social landscapes on disease dispersal; (ii) the role of environmental and social structures on the dynamics of addiction and disease evolution, and (iii) Dynamics of complex systems at the interphase of ecology, epidemiology and the social sciences. Castillo-Chavez has co-authored over two hundred publications (see goggle scholar citations) that include journal articles and edited research volumes. Specifically, he co-authored a textbook in Mathematical Biology in 2001 (second edition in 2012); a volume (with Harvey Thomas Banks) on the use of mathematical models in homeland security published in SIAM's Frontiers in Applied Mathematics Series (2003); and co-edited volumes in the Series Contemporary Mathematics entitled '' Mathematical Studies on Human Disease Dynamics: Emerging Paradigms and Challenges'' (American Mathematical Society, 2006) and Mathematical and Statistical Estimation Approaches in Epidemiology (Springer-Verlag, 2009) highlighting his interests in the applications of mathematics in emerging and re-emerging diseases. Castillo-Chavez is a member of the Santa Fe Institute's external faculty, adjunct professor at Cornell University, and contributor, as a member of the Steering Committee of the '' Committee for the Review of the Evaluation Data on the Effectiveness of NSF-Supported and Commercially Generated Mathematics Curriculum Materials,'' to a 2004 NRC report. The CBMS workshop '' Mathematical Epidemiology with Applications'' lectures delivered by C. Castillo-Chavez and F. Brauer in 2011 have been published by SIAM in 2013.
Mathematical Modeling in Mathematics Education: Basic Concepts and Approaches
ERIC Educational Resources Information Center
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…
Teaching undergraduate mathematics in interactive groups: how does it fit with students' learning?
NASA Astrophysics Data System (ADS)
Sheryn, Louise; Ell, Fiona
2014-08-01
Debates about how undergraduate mathematics should be taught are informed by different views of what it is to learn and to do mathematics. In this qualitative study 10 students enrolled in an advanced undergraduate course in mathematics shared their views about how they best learn mathematics. After participating in a semester-long course in combinatorics, taught using a non-traditional, formal group work approach, the 10 students shared their views about how such an approach fitted in with their experience of learning mathematics. A descriptive thematic analysis of the students' responses revealed that despite being very comfortable with the traditional approach to learning new mathematics, most students were open to a formal group work approach and could see benefits from it after their participation. The students' prior conceptions of the goal of undergraduate mathematics learning and their view of themselves as 'mathematicians' framed their experience of learning mathematics in a non-traditional class.
New Mathematical Dimensions: Adam's Story
ERIC Educational Resources Information Center
Manizade, Agida
2009-01-01
Adam, an 11th grader, was identified as gifted and accepted into a two week summer enrichment program. He signed up for "Geometry with Flash Programming." He had no prior programming experience but had a strong and healthy self-image as mathematics student. Although Adam had a positive attitude toward mathematics and saw himself as a successful…
Solving Common Mathematical Problems
NASA Technical Reports Server (NTRS)
Luz, Paul L.
2005-01-01
Mathematical Solutions Toolset is a collection of five software programs that rapidly solve some common mathematical problems. The programs consist of a set of Microsoft Excel worksheets. The programs provide for entry of input data and display of output data in a user-friendly, menu-driven format, and for automatic execution once the input data has been entered.
Programmable Calculators: Implications for the Mathematics Curriculum.
ERIC Educational Resources Information Center
Spikell, Mark A., Ed.
This document is a collection of reports presented at a programable calculator symposium held in Seattle, Washington, in April, 1980, as part of the annual meeting of the National Council of Teachers of Mathematics (NCTM). The session was designed to review whether the programable calculator has a place in the school mathematics program, in light…
Developing Mathematical Thinking: Changing Teachers' Knowledge and Instruction
ERIC Educational Resources Information Center
Brendefur, Jonathan L.; Thiede, Keith; Strother, Sam; Bunning, Kim; Peck, Duane
2013-01-01
In the present research, we evaluated the effectiveness of a multi-year professional development program in mathematics for elementary teachers. Each year the program focused on a different domain of mathematics. We found the program increased teachers' knowledge of (a) number and operations, (b) measurement and geometry, and (c) probability and…
Why New Mathematics Teachers Do or Don't Use Practices Emphasized in Their Credential Program
ERIC Educational Resources Information Center
Gainsburg, Julie
2012-01-01
A major research concern for teacher education is the impact of university credentialing programs on K-12 teaching and the disjuncture between university-promoted practices and what teachers actually do in their classrooms. In particular, mathematics-credential programs typically promote reform-oriented methods, while mathematics teaching in the…
ERIC Educational Resources Information Center
Linn, Marcia C.; Kessel, Cathy; Lee, Kristen; Levenson, Janet; Spitulnik, Michelle; Slotta, James D.
This report offers guidance for those shaping policy and designing elementary and middle school science and mathematics courses that prepare students to be lifelong users of scientific and mathematical ideas. We have reviewed programs designed to improve elementary and middle school students' understanding of science and mathematics by…
Evaluation of the Computer Assisted Instruction Title I Project, 1980-81.
ERIC Educational Resources Information Center
Metrics Associates, Inc., Chelmsford, MA.
For the third year, six Massachusetts communities incorporated computer assisted instruction (CAI) into their regular Title I programs, for students in grades 1 through 9. It was hoped that CAI would produce reading and mathematics gains over and above those which are characteristic of more conventional Title I instructional approaches. A pretest,…
ERIC Educational Resources Information Center
Chieu, Vu Minh; Luengo, Vanda; Vadcard, Lucile; Tonetti, Jerome
2010-01-01
Cognitive approaches have been used for student modeling in intelligent tutoring systems (ITSs). Many of those systems have tackled fundamental subjects such as mathematics, physics, and computer programming. The change of the student's cognitive behavior over time, however, has not been considered and modeled systematically. Furthermore, the…
ERIC Educational Resources Information Center
Wright, Robert J.; Ellemor-Collins, David; Tabor, Pamela D.
2011-01-01
This fourth book in the Mathematics Recovery series equips teachers with detailed pedagogical knowledge and resources for teaching number to 7 to 11-year olds. Drawing on extensive programs of research, curriculum development, and teacher development, the book offers a coherent, up-to-date approach emphasizing computational fluency and the…
A Dynamic Process Model for Optimizing the Hospital Environment Cash-Flow
NASA Astrophysics Data System (ADS)
Pater, Flavius; Rosu, Serban
2011-09-01
In this article is presented a new approach to some fundamental techniques of solving dynamic programming problems with the use of functional equations. We will analyze the problem of minimizing the cost of treatment in a hospital environment. Mathematical modeling of this process leads to an optimal control problem with a finite horizon.
Teaching Bayesian Statistics in a Health Research Methodology Program
ERIC Educational Resources Information Center
Pullenayegum, Eleanor M.; Thabane, Lehana
2009-01-01
Despite the appeal of Bayesian methods in health research, they are not widely used. This is partly due to a lack of courses in Bayesian methods at an appropriate level for non-statisticians in health research. Teaching such a course can be challenging because most statisticians have been taught Bayesian methods using a mathematical approach, and…
A Mathematical Model for Allocation of School Resources to Optimize a Selected Output.
ERIC Educational Resources Information Center
McAfee, Jackson K.
The methodology of costing an education program by identifying the resources it utilizes places all costs within the framework of staff, equipment, materials, facilities, and services. This paper suggests that this methodology is much stronger than the more traditional budgetary and cost per pupil approach. The techniques of data collection are…
NASA Technical Reports Server (NTRS)
Knezovich, F. M.
1976-01-01
A modular structured system of computer programs is presented utilizing earth and ocean dynamical data keyed to finitely defined parameters. The model is an assemblage of mathematical algorithms with an inherent capability of maturation with progressive improvements in observational data frequencies, accuracies and scopes. The Eom in its present state is a first-order approach to a geophysical model of the earth's dynamics.
NASA Technical Reports Server (NTRS)
Glassman, Nanci A.; Perry, Jeannine B.; Giersch, Christopher E.; Lambert, Matthew A.; Pinelli, Thomas E.
2004-01-01
NASA CONNECT is a research-, inquiry, and standards-based, integrated mathematics, science, and technology series of 30-minute instructional distance learning (television and web-based) programs for students in grades 6 8. Respondents who evaluated the programs in the series over the first five seasons (1998-99 through 2002-03) reported that (1) they used the programs in the series; (2) the goals and objectives for the series were met; (3) the programs were aligned with the national mathematics, science, and technology standards; (4) the program content was developmentally appropriate for the grade level; and (5) the programs in the series enhanced and enriched the teaching of mathematics, science, and technology.
Sizing of complex structure by the integration of several different optimal design algorithms
NASA Technical Reports Server (NTRS)
Sobieszczanski, J.
1974-01-01
Practical design of large-scale structures can be accomplished with the aid of the digital computer by bringing together in one computer program algorithms of nonlinear mathematical programing and optimality criteria with weight-strength and other so-called engineering methods. Applications of this approach to aviation structures are discussed with a detailed description of how the total problem of structural sizing can be broken down into subproblems for best utilization of each algorithm and for efficient organization of the program into iterative loops. Typical results are examined for a number of examples.
ERIC Educational Resources Information Center
Lee, Mimi Miyoung; Chauvot, Jennifer; Plankis, Brian; Vowell, Julie; Culpepper, Shea
2011-01-01
iSMART (Integration of Science, Mathematics, and Reflective Teaching) Program is an online science and mathematics integrated graduate program for middle school teachers across the state of Texas. As part of a large design-based research project, this paper describes the initial stages of the design process of the iSMART program for its first…
ERIC Educational Resources Information Center
Ottmar, Erin R.; Rimm-Kaufman, Sara E.; Larsen, Ross A.; Berry, Robert Q.
2015-01-01
This study investigates the effectiveness of the Responsive Classroom (RC) approach, a social and emotional learning intervention, on changing the relations between mathematics teacher and classroom inputs (mathematical knowledge for teaching [MKT] and standards-based mathematics teaching practices) and student mathematics achievement. Work was…
NASA Astrophysics Data System (ADS)
Moreno-Camacho, Carlos A.; Montoya-Torres, Jairo R.; Vélez-Gallego, Mario C.
2018-06-01
Only a few studies in the available scientific literature address the problem of having a group of workers that do not share identical levels of productivity during the planning horizon. This study considers a workforce scheduling problem in which the actual processing time is a function of the scheduling sequence to represent the decline in workers' performance, evaluating two classical performance measures separately: makespan and maximum tardiness. Several mathematical models are compared with each other to highlight the advantages of each approach. The mathematical models are tested with randomly generated instances available from a public e-library.
NASA Astrophysics Data System (ADS)
Khusna, H.; Heryaningsih, N. Y.
2018-01-01
The aim of this research was to examine mathematical modeling ability who learn mathematics by using SAVI approach. This research was a quasi-experimental research with non-equivalent control group designed by using purposive sampling technique. The population of this research was the state junior high school students in Lembang while the sample consisted of two class at 8th grade. The instrument used in this research was mathematical modeling ability. Data analysis of this research was conducted by using SPSS 20 by Windows. The result showed that students’ ability of mathematical modeling who learn mathematics by using SAVI approach was better than students’ ability of mathematical modeling who learn mathematics using conventional learning.
NASA Astrophysics Data System (ADS)
Quigley, Cassie F.; Herro, Dani
2016-06-01
In response to a desire to strengthen the economy, educational settings are emphasizing science, technology, engineering, and mathematics (STEM) curriculum and programs. Yet, because of the narrow approach to STEM, educational leaders continue to call for a more balanced approach to teaching and learning, which includes the arts, design, and humanities. This desire created space for science, technology, engineering, arts, and mathematics (STEAM) education, a transdisciplinary approach that focuses on problem-solving. STEAM-based curricula and STEAM-themed schools are appearing all over the globe. This growing national and global attention to STEAM provides an opportunity for teacher education to explore the ways in which teachers implement STEAM practices, examining the successes and challenges, and how teachers are beginning to make sense of this innovative teaching practice. The purpose of this paper is to examine the implementation of STEAM teaching practices in science and math middle school classrooms, in hopes to provide research-based evidence on this emerging topic to guide teacher educators.
Maton, Kenneth I.; Pollard, Shauna A.; McDougall Weise, Tatiana V.; Hrabowski, Freeman A.
2012-01-01
The Meyerhoff Scholars Program at the University of Maryland, Baltimore County is widely viewed as a national model of a program that enhances the number of underrepresented minority students who pursue science, technology, engineering and mathematics (STEM) PhDs. The current article provides an overview of the program and the institution-wide change process that led to its development, as well as a summary of key outcome and process evaluation research findings. African American Meyerhoff students are five times more likely than comparison students to pursue a STEM PhD. Program components viewed by the students as most beneficial include financial scholarship, being a part of the Meyerhoff Program community, the Summer Bridge program, study groups, and summer research. Qualitative findings from interviews and focus groups demonstrate the importance of the Meyerhoff Program in creating a sense of belonging and a shared identity, encouraging professional development and emphasizing the importance of academic skills. Among Meyerhoff students, several pre-college and college factors have emerged as predictors of successful entrance into a PhD program in the STEM fields, including pre-college research excitement, pre-college intrinsic math/science motivation, number of summer research experiences during college, and college GPA. Limitations of the research to date are noted, and directions for future research are proposed. PMID:22976367
Self-replicating systems: A systems engineering approach
NASA Technical Reports Server (NTRS)
Vontiesenhausen, G.; Darbro, W. A.
1980-01-01
A first approach to conceptualize self-replicating systems was developed from past and present abstract theories. The engineering elements of self-replicating systems are defined in terms of a basic reference system. A number of options are investigated. The growth characteristics and their problems are analyzed, the mathematics of various exponential growth options are outlined, and the problems of universal parts production and systems closure are discussed. Selected areas of further study are defined and a 20 year development and demonstration program is presented.
Gaining Options: A Mathematics Program for Potentially Talented At-Risk Adolescent Girls
ERIC Educational Resources Information Center
Reid, Pamela Trotman; Roberts, Sally K.
2006-01-01
In response to indicators that a decline in interest in mathematics occurs among girls--particularly those from low-income and minority groups--during middle school, the GO-GIRL (Gaining Options: Girls Investigate Real Life) program was designed to help potentially talented at-risk girls. The program aimed to build mathematical confidence, skills,…
Examining How Teachers Use Graphs to Teach Mathematics during a Professional Development Program
ERIC Educational Resources Information Center
Bautista, Alfredo; Cañadas, María C.; Brizuela, Bárbara M.; Schliemann, Analúcia D.
2015-01-01
There are urgent calls for more studies examining the impact of Professional Development (PD) programs on teachers' instructional practices. In this study, we analyzed how grades 5-9 mathematics teachers used graphs to teach mathematics at the start and end of a PD program. This topic is relevant because while many studies have investigated…
Didactic Aspects of the Academic Discipline "History and Methodology of Mathematics"
ERIC Educational Resources Information Center
Sun, Hai; Varankina, Vera I.; Sadovaya, Victoriya V.
2017-01-01
The purpose of this article is to develop the content and methods, as well as the analysis of the approbation of the program of the academic discipline "History and methodology of mathematics" for graduate students of the Master's program of mathematical program tracks. The leading method in the study of this problem was the method of…
A Professional Development Program to Improve Math Skills among Preschool Children in Head Start
ERIC Educational Resources Information Center
Brendefur, Jonathan; Strother, Sam; Thiede, Keith; Lane, Cristianne; Surges-Prokop, Mary Jo
2013-01-01
The purpose of this study was to examine the effects on four-year-olds' knowledge of mathematics by introducing professional development and center-based mathematics activities around four mathematical domains to early educators' teaching in Head Start programs. Because of the need to provide necessary mathematical experiences to young children to…
ERIC Educational Resources Information Center
Berney, Tomi D.; Friedman, Grace Ibanez
The state-funded New York City Staff Development Program in Mathematics was a five-workshop series serving bilingual/English-as-a-Second-Language teachers teaching mathematics, and mathematics teachers unfamiliar with the special needs of limited-English-proficient (LEP) high school students. Supervisors were also invited to participate. Workshop…
ERIC Educational Resources Information Center
Kliman, Marlene; Jaumot-Pascual, Nuria; Martin, Valerie
2013-01-01
Although public library programs for the elementary grades offer explorations in a wide range of topics in which mathematics plays a role, are all too rare: Mathematics offerings are typically limited to homework help. Participating in out-of-school activities that embed mathematics in authentic ways bolsters children's skill development,…
A COMPARISON OF MATHEMATICS PROGRAMS FOR ABLE JUNIOR HIGH SCHOOL STUDENTS, VOLUME 1 - FINAL REPORT.
ERIC Educational Resources Information Center
GOLDBERG, MIRIAM L.; AND OTHERS
THE TALENTED YOUTH PROJECT (TYP) MATHEMATICS STUDY WAS DESIGNED AS A STUDY TO COMPARE THE EFFECTIVENESS OF VARIOUS CURRICULUM PATTERNS AND PRACTICES IN MATHEMATICS EDUCATION CURRENTLY USED WITH ACADEMICALLY TALENTED JUNIOR HIGH SCHOOL STUDENTS. THE SAMPLE CONSISTED OF 51 CLASSES AND 6 MATHEMATICS PROGRAMS. THE LORGE-THORNDIKE VERBAL INTELLIGENCE…
Scheduling IT Staff at a Bank: A Mathematical Programming Approach
Labidi, M.; Mrad, M.; Gharbi, A.; Louly, M. A.
2014-01-01
We address a real-world optimization problem: the scheduling of a Bank Information Technologies (IT) staff. This problem can be defined as the process of constructing optimized work schedules for staff. In a general sense, it requires the allocation of suitably qualified staff to specific shifts to meet the demands for services of an organization while observing workplace regulations and attempting to satisfy individual work preferences. A monthly shift schedule is prepared to determine the shift duties of each staff considering shift coverage requirements, seniority-based workload rules, and staff work preferences. Due to the large number of conflicting constraints, a multiobjective programming model has been proposed to automate the schedule generation process. The suggested mathematical model has been implemented using Lingo software. The results indicate that high quality solutions can be obtained within a few seconds compared to the manually prepared schedules. PMID:24772032
Mathematical model for HIV spreads control program with ART treatment
NASA Astrophysics Data System (ADS)
Maimunah; Aldila, Dipo
2018-03-01
In this article, using a deterministic approach in a seven-dimensional nonlinear ordinary differential equation, we establish a mathematical model for the spread of HIV with an ART treatment intervention. In a simplified model, when no ART treatment is implemented, disease-free and the endemic equilibrium points were established analytically along with the basic reproduction number. The local stability criteria of disease-free equilibrium and the existing criteria of endemic equilibrium were analyzed. We find that endemic equilibrium exists when the basic reproduction number is larger than one. From the sensitivity analysis of the basic reproduction number of the complete model (with ART treatment), we find that the increased number of infected humans who follow the ART treatment program will reduce the basic reproduction number. We simulate this result also in the numerical experiment of the autonomous system to show how treatment intervention impacts the reduction of the infected population during the intervention time period.
Scheduling IT staff at a bank: a mathematical programming approach.
Labidi, M; Mrad, M; Gharbi, A; Louly, M A
2014-01-01
We address a real-world optimization problem: the scheduling of a Bank Information Technologies (IT) staff. This problem can be defined as the process of constructing optimized work schedules for staff. In a general sense, it requires the allocation of suitably qualified staff to specific shifts to meet the demands for services of an organization while observing workplace regulations and attempting to satisfy individual work preferences. A monthly shift schedule is prepared to determine the shift duties of each staff considering shift coverage requirements, seniority-based workload rules, and staff work preferences. Due to the large number of conflicting constraints, a multiobjective programming model has been proposed to automate the schedule generation process. The suggested mathematical model has been implemented using Lingo software. The results indicate that high quality solutions can be obtained within a few seconds compared to the manually prepared schedules.
NASA Astrophysics Data System (ADS)
Prabawanto, Sufyani
2017-05-01
This research aims to investigate the enhancement of students' mathematical problem solving through teaching with metacognitive scaffolding approach. This research used a quasi-experimental design with pretest-posttest control. The subjects were pre-service elementary school teachers in a state university in Bandung. In this study, there were two groups: experimental and control groups. The experimental group consists of 60 studentswho acquire teaching mathematicsunder metacognitive scaffolding approach, while the control group consists of 58 studentswho acquire teaching mathematicsunder direct approach. Students were classified into three categories based on the mathematical prior ability, namely high, middle, and low. Data collection instruments consist of mathematical problem solving test instruments. By usingmean difference test, two conclusions of the research:(1) there is a significant difference in the enhancement of mathematical problem solving between the students who attended the course under metacognitive scaffolding approach and students who attended the course under direct approach, and(2) thereis no significant interaction effect of teaching approaches and ability level based on the mathematical prior ability toward enhancement of students' mathematical problem solving.
Expanding your Horizons: a Program for Engaging Middle School Girls in Science and Mathematics
NASA Astrophysics Data System (ADS)
Jahnke, Tamera S.; Level, Allison V.
Gender equity in science, mathematics, and technology is an issue that has generated the creation of a number of programs. Young women need to be aware that there are a variety of careers in science, mathematics, and technology that they can actively pursue. This article highlights one example of a successful middle school science program in Southwest Missouri. Expanding Your Horizons in Science, Mathematics, and Technology (EYH) integrates keynote speakers, role model mentoring sessions, and small group experiments into a hands-on learning environment. Initial survey results of parents and teachers show support for the conference and indicate that the program helps motivate students to consider careers in science, mathematics, and technology. In addition to the goal of increasing awareness for these young people, there is a need for increased scientific literacy of the general public and an increased application of science to "real world" circumstances. This program addresses these issues.
Creating a Culture of Inquiry in Mathematics Programs
ERIC Educational Resources Information Center
Dietz, Jill
2013-01-01
We argue that student research skills in mathematics should be honed throughout the curriculum just as such skills are built over time in the natural and physical sciences. Examples used in the mathematics program at St. Olaf College are given.
ERIC Educational Resources Information Center
Wendel, Holly Marie
2016-01-01
The purpose of this study was to determine the relationship each of the mathematics web-based programs, MyMathLab and Assessments and Learning in Knowledge Spaces (ALEKS), has with students' mathematics achievement. In addition, the study examined the relationship between students' affective domain and the type of program as well as student…
ERIC Educational Resources Information Center
Dubetz, Terry A.; Wilson, Jo Ann
2013-01-01
Girls in Engineering, Mathematics and Science (GEMS) is a science and math outreach program for middle-school female students. The program was developed to encourage interest in math and science in female students at an early age. Increased scientific familiarity may encourage girls to consider careers in science and mathematics and will also help…
ERIC Educational Resources Information Center
Saada, Nivan
2012-01-01
I examine a unique Elementary Mathematics Lead Teacher program entering its second decade of operation. The program is based in a large, urban, Midwestern school district, with the vision of developing a cadre of teacher leaders to support mathematics education. The district's professional development content was conventional, including both…
An Evaluation of a 4-8 Mathematics Teacher Preparation Program at a Large State Institution in Texas
ERIC Educational Resources Information Center
Lim, Woong
2011-01-01
This study provided a springboard for future teacher preparation evaluation studies by examining the 4-8 mathematics teacher preparation component of the teacher preparation program at a large state institution in Texas. The research questions for this study were: (1) To what extent is the 4-8 mathematics teacher preparation program consistent…
ERIC Educational Resources Information Center
National Academies Press, 2009
2009-01-01
In 1998, the National Science Foundation (NSF) launched a program of Grants for Vertical Integration of Research and Education in the Mathematical Sciences (VIGRE). These grants were designed for institutions with PhD-granting departments in the mathematical sciences, for the purpose of developing high-quality education programs, at all levels,…
Underprepared Students' Performance on Algebra in a Double-Period High School Mathematics Program
ERIC Educational Resources Information Center
Martinez, Mara V.; Bragelman, John; Stoelinga, Timothy
2016-01-01
The primary goal of the Intensified Algebra I (IA) program is to enable mathematically underprepared students to successfully complete Algebra I in 9th grade and stay on track to meet increasingly rigorous high school mathematics graduation requirements. The program was designed to bring a range of both cognitive and non-cognitive supports to bear…
ERIC Educational Resources Information Center
Paadre, Taimi H.
2011-01-01
This mixed methods outcomes study investigated a summer school mathematics program for all incoming 9th grade students at a suburban New England vocational technical high school. Qualitative data was gathered via survey and interview from administration, faculty, and students involved with the newly introduced online learning program.…
ERIC Educational Resources Information Center
Evans, Brian R.
2011-01-01
The purpose of this study was to understand the mathematical content knowledge new teachers have both before and after taking a mathematics methods course in the NYCTF program. Further, the purpose was to understand the attitudes toward mathematics and concepts of self-efficacy that Teaching Fellows had over the course of the semester. The sample…
NASA Astrophysics Data System (ADS)
Yang, Wen-Xian
2006-05-01
Available machine fault diagnostic methods show unsatisfactory performances on both on-line and intelligent analyses because their operations involve intensive calculations and are labour intensive. Aiming at improving this situation, this paper describes the development of an intelligent approach by using the Genetic Programming (abbreviated as GP) method. Attributed to the simple calculation of the mathematical model being constructed, different kinds of machine faults may be diagnosed correctly and quickly. Moreover, human input is significantly reduced in the process of fault diagnosis. The effectiveness of the proposed strategy is validated by an illustrative example, in which three kinds of valve states inherent in a six-cylinders/four-stroke cycle diesel engine, i.e. normal condition, valve-tappet clearance and gas leakage faults, are identified. In the example, 22 mathematical functions have been specially designed and 8 easily obtained signal features are used to construct the diagnostic model. Different from existing GPs, the diagnostic tree used in the algorithm is constructed in an intelligent way by applying a power-weight coefficient to each feature. The power-weight coefficients vary adaptively between 0 and 1 during the evolutionary process. Moreover, different evolutionary strategies are employed, respectively for selecting the diagnostic features and functions, so that the mathematical functions are sufficiently utilized and in the meantime, the repeated use of signal features may be fully avoided. The experimental results are illustrated diagrammatically in the following sections.
Modeling Simple Telescope Optics in Secondary Mathematics Classrooms
NASA Astrophysics Data System (ADS)
Siegel, Lauren; Dickinson, G.; Hooper, E. J.; Daniels, M.
2007-12-01
This presentation describes the results of collaboration between instructors in the UTeach teacher preparation program at the University of Texas at Austin, and an astronomer teaching at the university as part of a National Science Foundation Astronomy and Astrophysics Postdoctoral Fellowship. The astronomer provided training to give pre-service teachers an authentic understanding of the principles of telescope optics. This made it possible for the preservice teachers to include real design constraints and optical properties into lessons developed as part of a collaborative field experience to teach astronomical telescope design and construction to high school Algebra II students. One result is a sequence of investigations designed to explore how and why the physical and mathematical properties of parabolic mirrors both enable and constrain our ability to build and use telescopes to focus light from distant objects. Various approaches, including generating and exploring computer models, traditional proofs, even making paper models, are all woven together into a coherent set of eleven investigations for use in mathematics and science classrooms. The presentation will include a description of the suite of investigations, as well as a discussion of the collaborative process which generated the work and resulted in an article submission to a preeminent teaching journal. Teaching Algebra and Geometry Concepts by Modeling Telescope Optics, 2008, Mathematics Teacher is currently in press. Many thanks to the University of Texas UTeach Program for sponsorship of this submission.
An experiment-based comparative study of fuzzy logic control
NASA Technical Reports Server (NTRS)
Berenji, Hamid R.; Chen, Yung-Yaw; Lee, Chuen-Chein; Murugesan, S.; Jang, Jyh-Shing
1989-01-01
An approach is presented to the control of a dynamic physical system through the use of approximate reasoning. The approach has been implemented in a program named POLE, and the authors have successfully built a prototype hardware system to solve the cartpole balancing problem in real-time. The approach provides a complementary alternative to the conventional analytical control methodology and is of substantial use when a precise mathematical model of the process being controlled is not available. A set of criteria for comparing controllers based on approximate reasoning and those based on conventional control schemes is furnished.
ERIC Educational Resources Information Center
Ekowati, Ch. Krisnandari; Darwis, Muhammad; Upa, H. M. D. Pua; Tahmir, Suradi
2015-01-01
This research is an action research which aims to implement contextual teaching and learning (CTL) approach to learn mathematics, focus on the integration subjects. The approach utilizes the use of mathematics manipulative so that students can understand a mathematical concept to construct their own. The method which used in this research are…
Hamiltonian methods: BRST, BFV
DOE Office of Scientific and Technical Information (OSTI.GOV)
Garcia, J. Antonio
2006-09-25
The range of applicability of Hamiltonian methods to gauge theories is very diverse and cover areas of research from phenomenology to mathematical physics. We review some of the areas developed in Mexico in the last decades. They cover the study of symplectic methods, BRST-BFV and BV approaches, Klauder projector program, and non perturbative technics used in the study of bound states in relativistic field theories.
Hamiltonian methods: BRST, BFV
NASA Astrophysics Data System (ADS)
García, J. Antonio
2006-09-01
The range of applicability of Hamiltonian methods to gauge theories is very diverse and cover areas of research from phenomenology to mathematical physics. We review some of the areas developed in México in the last decades. They cover the study of symplectic methods, BRST-BFV and BV approaches, Klauder projector program, and non perturbative technics used in the study of bound states in relativistic field theories.
ERIC Educational Resources Information Center
Miller, Jennifer Renea
2016-01-01
This study investigated a Makerspace professional development program, the Makers' Guild, provided to teachers within north Texas over the course of a semester. The research employed a constructionist approach delivered via 2D and 3D technologies during STEM instructional activities within a creative space. Participants reported statistically…
NASA Technical Reports Server (NTRS)
Goorevich, C. E.
1975-01-01
The mathematical formulation is presented of CNTRLF, the maneuver control program for the Applications Technology Satellite-F (ATS-F). The purpose is to specify the mathematical models that are included in the design of CNTRLF.
A Framework for Teachers' Knowledge of Mathematical Reasoning
ERIC Educational Resources Information Center
Herbert, Sandra
2014-01-01
Exploring and developing primary teachers' understanding of mathematical reasoning was the focus of the "Mathematical Reasoning Professional Learning Research Program." Twenty-four primary teachers were interviewed after engagement in the first stage of the program incorporating demonstration lessons focused on reasoning conducted in…
Evaluating the Effectiveness of the 2001-2002 NASA CONNECT(tm) Program
NASA Technical Reports Server (NTRS)
Pinelli, Thomas E.; Frank, Kari Lou; Lambert, Matthew A.; Williams, Amy C.
2002-01-01
NASA CONNECT(tm) is a research and standards-based, integrated mathematics, science, and technology series of 30-minute instructional distance learning (television and web-based) programs for students in grades 6-8. Respondents who evaluated the programs in the 2001-2002 NASA CONNECT(tm) series reported that (1) they used the programs in the series; (2) the goals and objectives for the series were met; (3) the programs were aligned with the national mathematics, science, and technology standards; (4) the program content was developmentally appropriate for grade level; and (5) the programs in the series enhanced and enriched the teaching of mathematics, science, and technology.
Evaluating the Effectiveness of the 2002-2003 NASA CONNECT(TM) Program
NASA Technical Reports Server (NTRS)
Pinelli, Thomas E.; Lambert, Matthew A.; Williams, Amy C.
2004-01-01
NASA CONNECT is a research-, inquiry-, and standards-based, integrated mathematics, science, and technology series of 30-minute instructional distance learning (television and web-based) programs for students in grades 6 8. Respondents who evaluated the programs in the 2002 2003 NASA CONNECT series reported that (1) they used the programs in the series; (2) the goals and objectives for the series were met; (3) the programs were aligned with the national mathematics, science, and technology standards; (4) the program content was developmentally appropriate for grade level; and (5) the programs in the series enhanced and enriched the teaching of mathematics, science, and technology.
Students' Attitudes towards Mathematics and the Impacts of Mathematics Teachers' Approaches on It
ERIC Educational Resources Information Center
Elçi, Aysun Nüket
2017-01-01
The purpose of the study is to determine students' attitudes towards mathematics, to investigate these attitudes according to the different variables, and to reveal the impacts of mathematics teachers' approaches and in-class activities on the students' attitudes towards mathematics. The study was conducted with the high school students from…
Mathematics Teachers' Use of Ethnomathematics Approach in Mathematics Teaching in Edo State
ERIC Educational Resources Information Center
Aikpitanyi, Lucky Aiwuyor; Eraikhuemen, Lucy
2017-01-01
The study investigated mathematics teachers' use of ethnomathematics approach to teaching. Descriptive survey research was used with a target population of all mathematics teacher in all public secondary schools in Oredo, Egor and Ikpoba-Okha local government areas of Edo State out of which 121 mathematics teachers in 42 randomly selected public…
ERIC Educational Resources Information Center
Bukova-Guzel, Esra
2011-01-01
This study examines the approaches displayed by pre-service mathematics teachers in their experiences of constructing mathematical modelling problems and the extent to which they perform the modelling process when solving the problems they construct. This case study was carried out with 35 pre-service teachers taking the Mathematical Modelling…
BioMaPS: A Roadmap for Success
ERIC Educational Resources Information Center
McCarthy, Maeve L.; Fister, K. Renee
2010-01-01
The manuscript outlines the impact that our National Science Foundation Interdisciplinary Training for Undergraduates in Biological and Mathematical Sciences program, BioMaPS, has had on the students and faculty at Murray State University. This interdisciplinary program teams mathematics and biology undergraduate students with mathematics and…
75 FR 6187 - Submission for OMB Review; Comment Request
Federal Register 2010, 2011, 2012, 2013, 2014
2010-02-08
.... Title: Mathematics and Science Partnerships Grant Programs Annual Performance Report. Frequency... Mathematics and Science Partnerships Grant program. Submission of the annual performance report (APR) via the... assessments of mathematics or science; (3) the percentage of students in classrooms of MSP teachers who score...
Lane, Tonisha B.
2016-01-01
The current study used a case study methodological approach, including document analysis, semistructured interviews, and participant observations, to investigate how a science, technology, engineering, and mathematics (STEM) enrichment program supported retention and degree attainment of underrepresented students at a large, public, predominantly white institution. From this study, a model emerged that encompassed four components: proactive care, holistic support, community building, and catalysts for STEM identity development. These components encompassed a number of strategies and practices that were instrumental in the outcomes of program participants. This paper concludes with implications for practice, such as using models to inform program planning, assessment, and evaluation. PMID:27543638
ERIC Educational Resources Information Center
Hilgoe, Ellen; Brinkley, Jason; Hattingh, Johannes; Bernhardt, Robert
2016-01-01
Since its establishment in 1996, the North Carolina Early Mathematics Placement Testing (NC EMPT) Program has provided a low stakes reality check of readiness for college-level mathematics to more than 600,000 high school students statewide. The program strives to help reduce the percentage of incoming college freshmen requiring mathematics…
Mathematics for the Student Scientist
NASA Astrophysics Data System (ADS)
Lauten, A. Darien; Lauten, Gary N.
1998-03-01
The Earth Day:Forest Watch Program, introduces elementary, middle, and secondary students to field laboratory, and satellite-data analysis methods for assessing the health of Eastern White Pine ( Pinus strobus). In this Student-Scientist Partnership program, mathematics, as envisioned in the NCTM Standards, arises naturally and provides opportunities for science-mathematics interdisciplinary student learning. School mathematics becomes the vehicle for students to quantify, represent, analyze, and interpret meaningful, real data.
NASA Astrophysics Data System (ADS)
Sugiman; Sugiharti, E.; Kurniawati, N. F.
2018-03-01
Government and the private parties had also organized of Special School (SS) and Inclusive School. SS requires of math teachers who were professional in the material, but also master the needs of Children with Disabilities (CwD) in teaching-learning process. The problem: How to design the Teaching Aids for CwD through Extra-Curriculum Training (ECT) activities to Joyful Learning? The purposes of this research: (1) To find new ways how to grow the imaginative in mathematical thinking for students of Mathematics Education. (2) To find a Teaching Aids Design that suitable for CwD who studying in SS. (3) In order to create a Teaching Aids for CwD through activities based on ECT to Joyful Learning. The research method was done by qualitative approach. The research subjects were 6 students of Mathematics Education Study Program of FMIPA UNNES who were interested in attending of the training activities based on ECT. The results: (1) ECT can be a place to grow an Imaginative in Mathematical Thinking of students, (2) created the design of the teaching aids for CwD through activities based on ECT to Joyful Learning as a mirror of the imaginative growth in mathematical thinking for students.
Think Pair Share Using Realistic Mathematics Education Approach in Geometry Learning
NASA Astrophysics Data System (ADS)
Afthina, H.; Mardiyana; Pramudya, I.
2017-09-01
This research aims to determine the impact of mathematics learning applying Think Pair Share (TPS) using Realistic Mathematics Education (RME) viewed from mathematical-logical intelligence in geometry learning. Method that used in this research is quasi experimental research The result of this research shows that (1) mathematics achievement applying TPS using RME approach gives a better result than those applying direct learning model; (2) students with high mathematical-logical intelligence can reach a better mathematics achievement than those with average and low one, whereas students with average mathematical-logical intelligence can reach a better achievement than those with low one; (3) there is no interaction between learning model and the level of students’ mathematical-logical intelligence in giving a mathematics achievement. The impact of this research is that TPS model using RME approach can be applied in mathematics learning so that students can learn more actively and understand the material more, and mathematics learning become more meaningful. On the other hand, internal factors of students must become a consideration toward the success of students’ mathematical achievement particularly in geometry material.
Miller, Jason E; Walston, Timothy
2010-01-01
Inspired by BIO2010 and leveraging institutional and external funding, Truman State University built an undergraduate program in mathematical biology with high-quality, faculty-mentored interdisciplinary research experiences at its core. These experiences taught faculty and students to bridge the epistemological gap between the mathematical and life sciences. Together they created the infrastructure that currently supports several interdisciplinary courses, an innovative minor degree, and long-term interdepartmental research collaborations. This article describes how the program was built with support from the National Science Foundation's Interdisciplinary Training for Undergraduates in Biology and Mathematics program, and it shares lessons learned that will help other undergraduate institutions build their own program.
Corominas, Albert; Fossas, Enric
2015-01-01
We assume a monopolistic market for a non-durable non-renewable resource such as crude oil, phosphates or fossil water. Stating the problem of obtaining optimal policies on extraction and pricing of the resource as a non-linear program allows general conclusions to be drawn under diverse assumptions about the demand curve, discount rates and length of the planning horizon. We compare the results with some common beliefs about the pace of exhaustion of this kind of resources.
A Capstone Mathematics Course for Prospective Secondary Mathematics Teachers
ERIC Educational Resources Information Center
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…
Rönn, Minttu M; Wolf, Emory E; Chesson, Harrell; Menzies, Nicolas A; Galer, Kara; Gorwitz, Rachel; Gift, Thomas; Hsu, Katherine; Salomon, Joshua A
2017-05-01
Mathematical models of chlamydia transmission can help inform disease control policy decisions when direct empirical evaluation of alternatives is impractical. We reviewed published chlamydia models to understand the range of approaches used for policy analyses and how the studies have responded to developments in the field. We performed a literature review by searching Medline and Google Scholar (up to October 2015) to identify publications describing dynamic chlamydia transmission models used to address public health policy questions. We extracted information on modeling methodology, interventions, and key findings. We identified 47 publications (including two model comparison studies), which reported collectively on 29 distinct mathematical models. Nine models were individual-based, and 20 were deterministic compartmental models. The earliest studies evaluated the benefits of national-level screening programs and predicted potentially large benefits from increased screening. Subsequent trials and further modeling analyses suggested the impact might have been overestimated. Partner notification has been increasingly evaluated in mathematical modeling, whereas behavioral interventions have received relatively limited attention. Our review provides an overview of chlamydia transmission models and gives a perspective on how mathematical modeling has responded to increasing empirical evidence and addressed policy questions related to prevention of chlamydia infection and sequelae.
Mathematics Programming on the Apple II and IBM PC.
ERIC Educational Resources Information Center
Myers, Roy E.; Schneider, David I.
1987-01-01
Details the features of BASIC used in mathematics programming and provides the information needed to translate between the Apple II and IBM PC computers. Discusses inputing a user-defined function, setting scroll windows, displaying subscripts and exponents, variable names, mathematical characters and special symbols. (TW)
The Consequences of a Problem-Based Mathematics Curriculum
ERIC Educational Resources Information Center
Clarke, David; Breed, Margarita; Fraser, Sherry
2004-01-01
Implementation of a problem-based mathematics curriculum, the "Interactive Mathematics Program" (IMP), at three high schools in California has been associated with more than just differences in student achievement. The outcomes that distinguished students who participated in the IMP program from students who followed a conventional…
Short description of mathematical support programs for space experiments in the Interkosmos program
NASA Technical Reports Server (NTRS)
Elyasberg, P. Y.
1979-01-01
A synopsis of programs of mathematical support designed at the Institute for Cosmic Research of the USSR Academy of Sciences for cosmic experiments being conducted in the Interkosmos Program is presented. A short description of the appropriate algorithm is given.
NASA Technical Reports Server (NTRS)
Perangelo, H. J.; Milordi, F. W.
1976-01-01
Analysis techniques used in the automated telemetry station (ATS) for on line data reduction are encompassed in a broad range of software programs. Concepts that form the basis for the algorithms used are mathematically described. The control the user has in interfacing with various on line programs is discussed. The various programs are applied to an analysis of flight data which includes unimodal and bimodal response signals excited via a swept frequency shaker and/or random aerodynamic forces. A nonlinear response error modeling analysis approach is described. Preliminary results in the analysis of a hard spring nonlinear resonant system are also included.
Bridging different perspectives of the physiological and mathematical disciplines.
Batzel, Jerry Joseph; Hinghofer-Szalkay, Helmut; Kappel, Franz; Schneditz, Daniel; Kenner, Thomas; Goswami, Nandu
2012-12-01
The goal of this report is to discuss educational approaches for bridging the different perspectives of the physiological and mathematical disciplines. These approaches can enhance the learning experience for physiology, medical, and mathematics students and simultaneously act to stimulate mathematical/physiological/clinical interdisciplinary research. While physiology education incorporates mathematics, via equations and formulas, it does not typically provide a foundation for interdisciplinary research linking mathematics and physiology. Here, we provide insights and ideas derived from interdisciplinary seminars involving mathematicians and physiologists that have been conducted over the last decade. The approaches described here can be used as templates for giving physiology and medical students insights into how sophisticated tools from mathematics can be applied and how the disciplines of mathematics and physiology can be integrated in research, thereby fostering a foundation for interdisciplinary collaboration. These templates are equally applicable to linking mathematical methods with other life and health sciences in the educational process.
ERIC Educational Resources Information Center
Saderholm, Jon; Ronau, Robert N.; Rakes, Christopher R.; Bush, Sarah B.; Mohr-Schroeder, Margaret
2017-01-01
This evaluation study examined a state-wide professional development program composed of two institutes, one for mathematics teachers and one for science teachers, each spanning two weeks. The program was designed to help teachers transform their practice to align with Common Core State Standards for Mathematics and Next Generation Science…
Pre-Engineering Program: Science, Technology, Engineering and Mathematics (STEM)
2013-08-29
educators in the Urbana-Champaign area. 15. SUBJECT TERMS STEM: science, technology , engineering, mathematics 16. SECURITY CLASSIFICATION OF: 19a. NAME...9132T-13-1-0002 4. TITLE AND SUBTITLE Pre-Engineering Program: Science, Technology , Engineering and Mathematics (STEM) 5c. PROGRAM ELEMENT NUMBER N...project was focused on underserved children in grades 1-6 who need, but have limited access to, out-of-school time STEM (science, technology
ERIC Educational Resources Information Center
Chigeza, Philemon; Jackson, Cliff; Neilson, Aaron
2017-01-01
This paper employs a collaborative auto-ethnographic method to reflect on perceptions and design of a pre-service primary teacher mathematics education program in a regional university and the role of that program to prepare beginning teachers for classroom mathematics practice in Far North Queensland. A four-phase analysis that reflected on: a…
ERIC Educational Resources Information Center
Dougherty, Knowles; Herbert, Martin
The Comprehensive School Mathematics Program (CSMP) is a program of CEMREL, Inc., one of the national educational laboratories, and was funded by the National Institute of Education (NIE). Its major purpose is the development of curriculum materials for the elementary grades. Beginning in 1973, CSMP ran an extended pilot trial of its elementary…
ERIC Educational Resources Information Center
Chilvers, Amanda Leigh
2013-01-01
Researchers have noted that mathematics achievement for deaf and hard-of-hearing (d/hh) students has been a concern for many years, including the ability to problem solve. This quasi-experimental study investigates the use of the Exemplars mathematics program with students in grades 2-8 in a school for the deaf that utilizes American Sign Language…
Learning To Program in BASIC through the Use of Graphics.
ERIC Educational Resources Information Center
Connor, Timothy J.
Many organizations and experts in the field of mathematics education have recommended the inclusion of technology and, more specifically, computer programing within the course of study for the teaching of school mathematics. The incorporation of these recommendations with respect to the teaching of remedial mathematics poses a problem, since…
Increasing the Diversity of Teachers in Mathematics and Science Partnerships
ERIC Educational Resources Information Center
Moyer-Packenham, Patricia S.; Parker, Jana L.; Kitsantas, Anastasia; Bolyard, Johnna J.; Huie, Faye
2009-01-01
This study examines teacher diversity in a federally-funded mathematics and science partnership program. Each of the partnerships in the program provided preservice and/or inservice education for teachers in mathematics, science, or both. Researchers used qualitative and quantitative methods to examine the effect of strategies implemented by the…
ERIC Educational Resources Information Center
LaHart, David, Ed.
Energy is a problem affecting all individuals. To help today's students understand the problem and become realistic decision-makers, materials have been developed by the Sunny Side Up (in Mathematics) program to introduce energy concepts into the mathematics curriculum. Objectives of the program are to: (1) provide highly effective practice in…
Word Search Packet: Climbing the Hills of Math Skills. California Demonstration Mathematics Program.
ERIC Educational Resources Information Center
Ontario-Montclair School District, Ontario, CA.
Thirty word-search puzzles on mathematics and mathematicians are presented. The puzzles are used periodically as homework assignments in a self-paced, individualized mathematics program which is designed to improve the achievement of junior high school students. Answers to the puzzles are not included. (DC)
Opportunities to Promote Mathematical Content Knowledge for Primary Teaching
ERIC Educational Resources Information Center
Livy, Sharyn; Herbert, Sandra
2014-01-01
Understanding the development of pre-service teachers' mathematical content knowledge (MCK) is important for improving primary mathematics' teacher education. This paper reports on a case study, Rose and her opportunities to develop MCK during the four years of her program. Program opportunities to promote MCK when planning and practicing primary…
Structure of Primary Mathematics Teacher Education Programs in Spain
ERIC Educational Resources Information Center
Cañadas, María C.; Gómez, Pedro; Rico, Luis
2013-01-01
Spain was 1 of the 17 countries that participated in the International Association for the Evaluation of Educational Achievement's Teacher Education and Development Study in Mathematics (TEDS-M 2008). In this paper, we explore and describe the structure of Spanish primary mathematics teacher education programs. We analyzed the documents collected…
Academic, Racial and Mathematics Identities of African American College Students
ERIC Educational Resources Information Center
Moore, A'kilah Tienda
2011-01-01
This mixed-methods study examined the experiences of African American community college mathematics students' in the Nyame Scholars Program at Promise Community College. The purpose of the study was to identify through narrative analysis what aspects of the program impact students' racial, academic, and mathematics identities. A comparison group…
Evaluating the Effectiveness of the 2002-2003 NASA SCIence Files(TM) Program
NASA Technical Reports Server (NTRS)
Pinelli, Thomas E.; Lambert, Matthew A.; Williams, Amy C.
2004-01-01
NASA SCIence Files (tm) is a research-, inquiry-, and standards-based, integrated mathematics, science, and technology series of 60-minute instructional distance learning (television and web-based) programs for students in grades 3-5. Respondents who evaluated the programs in the 2002-2003 NASA SCIence Files (tm) series reported that (1) they used the programs in the series; (2) the goals and objectives for the series were met; (3) the programs were aligned with the national mathematics, science, and technology standards; (4) the program content was developmentally appropriate for grade level; and (5) the programs in the series enhanced and enriched the teaching of mathematics, science, and technology.
Preparing minority undergraduate students for successful science careers.
NASA Astrophysics Data System (ADS)
Akundi, Murty
2008-03-01
Xavier University of Louisiana is well known for being number one in graduating the most minority students in physical and biological sciences. The reason for this success is built on the concept of Standards with Sympathy in the Sciences (Triple S). This is an outgrowth of over twenty years of planning and development by the Xavier science faculty to devise a program for preparing and retaining students in the sciences and engineering. Xavier has been successfully conducting for over ten years, Summer Science Academy (SSA) for middle and high school students; Science Technology, Engineering and Mathematics (STEM) Scholars and Howard Hughes Biomedical programs for in-coming freshmen. Recently, through a grant from NSF, we have developed the Experiential Problem-solving and Analytical Reasoning (EPsAR) summer bridge program for in-coming freshmen who were given conditional admission to the university (i.e., those students who scored below the acceptable range for placement into degree mathematics courses). In this program, EPsAR participants will be engaged in problem-solving and critical thinking activities for eight hours per day, five days per week, for six weeks. Additionally, an interdisciplinary approach is taken to convey the mathematical skills learned to relate to physics, chemistry, biology, and computer science. Sixty-six students have participated in the last two years in the EPsAR program. During the first year 23 of 28 students successfully bi-passed the algebra review course and were placed into a degree credit course in mathematics. In the second year, thirty-one (31) of the 38 were advanced to a higher-level mathematics course. Twenty-three (23) out of 38 went on to degree credit math course. To retain students in the sciences peer tutoring in all the science disciplines are made available to students throughout the day for 5 days per week. Faculty and students are available to give guidance to the needed students. The University has established a Graduate Placement Office and a Center for Undergraduate Research to facilitate students' pursuit of gradate studies. The results of these efforts indicate a 40 percent graduation rate in four years and increased to 90 percent in six years in the natural sciences and 50 percent of these graduates pursue graduate/professional careers.
Status Report: Mathematics Curriculum-Development Projects Today
ERIC Educational Resources Information Center
Arithmetic Teacher, 1972
1972-01-01
Brief reports on the Cambridge Conference on School Mathematics, Comprehensive School Mathematics Program, Computer-Assisted Instruction Projects at Stanford, Individually Prescribed Instruction Project, The Madison Project, Mathematics/Science Learning System, MINNEMAST, and School Mathematics Study Group. (MM)
ERIC Educational Resources Information Center
Beswick, Kim; Muir, Tracey; Callingham, Rosemary
2014-01-01
The benefits of rich tasks, project-based learning, and other inquiry-based approaches in terms of student understanding and engagement with mathematics are well documented. Such pedagogies are consistent with the development of mathematical proficiencies as described in the "Australian Curriculum: Mathematics" (Australian Curriculum…
Investigating Task Design, Classroom Culture and Mathematics Learning: An Enactivist Approach
ERIC Educational Resources Information Center
Lozano, Maria-Dolores
2017-01-01
In this paper I introduce a methodological approach that can be useful for investigating relationships between mathematics tasks, mathematical classroom cultures and mathematics learning. This proposal responds to a need, identified in the literature, for "further research which uses alternative methods to understand student perspectives more…
Investigating Engineering Practice Is Valuable for Mathematics Learning
ERIC Educational Resources Information Center
Goold, Eileen
2015-01-01
While engineering mathematics curricula often prescribe a fixed body of mathematical knowledge, this study takes a different approach; second-year engineering students are additionally required to investigate and document an aspect of mathematics used in engineering practice. A qualitative approach is used to evaluate the impact that students'…
A knowledge-based approach to improving optimization techniques in system planning
NASA Technical Reports Server (NTRS)
Momoh, J. A.; Zhang, Z. Z.
1990-01-01
A knowledge-based (KB) approach to improve mathematical programming techniques used in the system planning environment is presented. The KB system assists in selecting appropriate optimization algorithms, objective functions, constraints and parameters. The scheme is implemented by integrating symbolic computation of rules derived from operator and planner's experience and is used for generalized optimization packages. The KB optimization software package is capable of improving the overall planning process which includes correction of given violations. The method was demonstrated on a large scale power system discussed in the paper.
Baseline mathematics and geodetics for tracking operations
NASA Technical Reports Server (NTRS)
James, R.
1981-01-01
Various geodetic and mapping algorithms are analyzed as they apply to radar tracking systems and tested in extended BASIC computer language for real time computer applications. Closed-form approaches to the solution of converting Earth centered coordinates to latitude, longitude, and altitude are compared with classical approximations. A simplified approach to atmospheric refractivity called gradient refraction is compared with conventional ray tracing processes. An extremely detailed set of documentation which provides the theory, derivations, and application of algorithms used in the programs is included. Validation methods are also presented for testing the accuracy of the algorithms.
ERIC Educational Resources Information Center
Tallmadge, G. Kasten
The project described herein represents an attempt by the U. S. Office of Education to take a more active role in the national dissemination and replication of those programs which have achieved the greatest success in producing reliably measured achievement benefits in reading and mathematical skills. With this general objective in mind, the U.…
ERIC Educational Resources Information Center
Clements, Douglas H.; Sarama, Julie; Unlu, Fatih; Layzer, Carolyn
2012-01-01
The authors' goal is twofold. First, they wished to produce a theoretically-based approach to this synthesis. Child-centered programs have a long history. However, concerns about children's achievement, and the pressure of content-specific standards, have set up a perceived conflict, in which educators believe they are being asked to abandon…
ERIC Educational Resources Information Center
Fenton, Ray
The Concerns Based Acceptance Model (CBAM) has been a key element in developing and assessing the implementation of science and mathematics programs over the past 20 years. CBAM provides an organized approach to assessing where people stand as they learn about, and accept, changes in organizations. This study examined the status of the adoption of…
Technology, the Columbus Effect, and the Third Revolution in Learning
2001-03-01
comprehension-fostering and comprehension-monitoring activities. Cognition and Instruction , 1, 117–-175. Rogoff, B. (1990). Apprenticeship in thinking ...elementary school mathematics (Suppes, Fletcher, and Zanotti, 1975). Instructional approaches used in these early programs required computers that cost $2–3...supported by considerations of pace: the speed with which students learn material and reach instructional objectives. Easily adjusted pacing is a
Stream temperature investigations: field and analytic methods
Bartholow, J.M.
1989-01-01
Alternative public domain stream and reservoir temperature models are contrasted with SNTEMP. A distinction is made between steady-flow and dynamic-flow models and their respective capabilities. Regression models are offered as an alternative approach for some situations, with appropriate mathematical formulas suggested. Appendices provide information on State and Federal agencies that are good data sources, vendors for field instrumentation, and small computer programs useful in data reduction.
A Generalized Distance’ Estimation Procedure for Intra-Urban Interaction
Bettinger . It is found that available estimation techniques necessarily result in non-integer solutions. A mathematical device is therefore...The estimation of urban and regional travel patterns has been a necessary part of current efforts to establish land use guidelines for the Texas...paper details computational experience with travel estimation within Corpus Christi, Texas, using a new convex programming approach of Charnes, Raike and
Promoting Preservice Teachers' Mathematics Identity Exploration
ERIC Educational Resources Information Center
Heffernan, Kayla
2016-01-01
Despite the effort of teacher education programs, early childhood, and elementary preservice teachers often fear mathematics, have high mathematics anxiety, hold negative self-perceptions in relation to mathematics, find mathematics irrelevant, and have low mathematics achievement. The aim of this study was to implement and investigate the…
Stolk, Wilma A; Prada, Joaquin M; Smith, Morgan E; Kontoroupis, Periklis; de Vos, Anneke S; Touloupou, Panayiota; Irvine, Michael A; Brown, Paul; Subramanian, Swaminathan; Kloek, Marielle; Michael, E; Hollingsworth, T Deirdre; de Vlas, Sake J
2018-01-01
Abstract Background With the 2020 target year for elimination of lymphatic filariasis (LF) approaching, there is an urgent need to assess how long mass drug administration (MDA) programs with annual ivermectin + albendazole (IA) or diethylcarbamazine + albendazole (DA) would still have to be continued, and how elimination can be accelerated. We addressed this using mathematical modeling. Methods We used 3 structurally different mathematical models for LF transmission (EPIFIL, LYMFASIM, TRANSFIL) to simulate trends in microfilariae (mf) prevalence for a range of endemic settings, both for the current annual MDA strategy and alternative strategies, assessing the required duration to bring mf prevalence below the critical threshold of 1%. Results Three annual MDA rounds with IA or DA and good coverage (≥65%) are sufficient to reach the threshold in settings that are currently at mf prevalence <4%, but the required duration increases with increasing mf prevalence. Switching to biannual MDA or employing triple-drug therapy (ivermectin, diethylcarbamazine, and albendazole [IDA]) could reduce program duration by about one-third. Optimization of coverage reduces the time to elimination and is particularly important for settings with a history of poorly implemented MDA (low coverage, high systematic noncompliance). Conclusions Modeling suggests that, in several settings, current annual MDA strategies will be insufficient to achieve the 2020 LF elimination targets, and programs could consider policy adjustment to accelerate, guided by recent monitoring and evaluation data. Biannual treatment and IDA hold promise in reducing program duration, provided that coverage is good, but their efficacy remains to be confirmed by more extensive field studies. PMID:29860286
Stolk, Wilma A; Prada, Joaquin M; Smith, Morgan E; Kontoroupis, Periklis; de Vos, Anneke S; Touloupou, Panayiota; Irvine, Michael A; Brown, Paul; Subramanian, Swaminathan; Kloek, Marielle; Michael, E; Hollingsworth, T Deirdre; de Vlas, Sake J
2018-06-01
With the 2020 target year for elimination of lymphatic filariasis (LF) approaching, there is an urgent need to assess how long mass drug administration (MDA) programs with annual ivermectin + albendazole (IA) or diethylcarbamazine + albendazole (DA) would still have to be continued, and how elimination can be accelerated. We addressed this using mathematical modeling. We used 3 structurally different mathematical models for LF transmission (EPIFIL, LYMFASIM, TRANSFIL) to simulate trends in microfilariae (mf) prevalence for a range of endemic settings, both for the current annual MDA strategy and alternative strategies, assessing the required duration to bring mf prevalence below the critical threshold of 1%. Three annual MDA rounds with IA or DA and good coverage (≥65%) are sufficient to reach the threshold in settings that are currently at mf prevalence <4%, but the required duration increases with increasing mf prevalence. Switching to biannual MDA or employing triple-drug therapy (ivermectin, diethylcarbamazine, and albendazole [IDA]) could reduce program duration by about one-third. Optimization of coverage reduces the time to elimination and is particularly important for settings with a history of poorly implemented MDA (low coverage, high systematic noncompliance). Modeling suggests that, in several settings, current annual MDA strategies will be insufficient to achieve the 2020 LF elimination targets, and programs could consider policy adjustment to accelerate, guided by recent monitoring and evaluation data. Biannual treatment and IDA hold promise in reducing program duration, provided that coverage is good, but their efficacy remains to be confirmed by more extensive field studies.
Factors Shaping Mathematics Lecturers' Service Teaching in Different Departments
ERIC Educational Resources Information Center
Bingolbali, E.; Ozmantar, M. F.
2009-01-01
In this article we focus on university lecturers' approaches to the service teaching and factors that influence their approaches. We present data obtained from the interviews with 19 mathematics and three physics lecturers along with the observations of two mathematics lecturers' calculus courses. The findings show that lecturers' approaches to…
Ragonnet, Romain; Trauer, James M; Denholm, Justin T; Marais, Ben J; McBryde, Emma S
2017-05-30
Multidrug-resistant and rifampicin-resistant tuberculosis (MDR/RR-TB) represent an important challenge for global tuberculosis (TB) control. The high rates of MDR/RR-TB observed among re-treatment cases can arise from diverse pathways: de novo amplification during initial treatment, inappropriate treatment of undiagnosed MDR/RR-TB, relapse despite appropriate treatment, or reinfection with MDR/RR-TB. Mathematical modelling allows quantification of the contribution made by these pathways in different settings. This information provides valuable insights for TB policy-makers, allowing better contextualised solutions. However, mathematical modelling outputs need to consider local data and be easily accessible to decision makers in order to improve their usefulness. We present a user-friendly web-based modelling interface, which can be used by people without technical knowledge. Users can input their own parameter values and produce estimates for their specific setting. This innovative tool provides easy access to mathematical modelling outputs that are highly relevant to national TB control programs. In future, the same approach could be applied to a variety of modelling applications, enhancing local decision making.
NASA Astrophysics Data System (ADS)
Cavanagh, Michael; McMaster, Heather
2015-12-01
This paper reports on the reflective practice of a group of nine secondary mathematics pre-service teachers. The pre-service teachers participated in a year-long, school-based professional experience program which focussed on observing, co-teaching and reflecting on a series of problem-solving lessons in two junior secondary school mathematics classrooms. The study used a mixed methods approach to consider the impact of shared pedagogical conversations on pre-service teachers' written reflections. It also examined whether there were differences in the focus of reflections depending on whether the lesson was taught by an experienced mathematics teacher, or taught by a pair of their peers, or co-taught by themselves with a peer. Results suggest that after participants have observed lessons taught by an experienced teacher and reflected collaboratively on those lessons, they continue to reflect on lessons taught by their peers and on their own lessons when co-teaching, rather than just describe or evaluate them. However, their written reflections across all contexts continued to focus primarily on teacher actions and classroom management rather than on student learning.
The New Approach to Self-Achievement (N.A.S.A.) Project 2004
NASA Technical Reports Server (NTRS)
Thomas, Candace J.
2004-01-01
The New Approach to Self-Achievement Program is designed to target rising seventh, eighth, and ninth grade students who require assistance in refining their mathematical skills, science awareness and knowledge, and test taking strategies. During the six week duration of the program, students are challenged in these areas through the application of robotic and aeronautic projects which encourage the students to practically apply their mathematical and science awareness accordingly. The first three weeks of my tenure were designated to assisting Mrs. Tammy Allen in the preparation of the 2004 NASA Project. As her assistant, I was held accountable for organizing, filing, preparing, analyzing, and completing the applications for the NASA Project. Additionally, I constructed the apposite databases which contained imperative information which aided in the selection of our participants. During the latter portion of those three weeks, Mrs. Allen, various staff members, and I, interviewed the numerous first-time applicants of the NASA Project. Furthermore, I was assigned to contact the accepted applicants of the program and provide all necessary information for the initiation of the child into the NASA Project. During the six week duration of the program, I will be working as a Project Leader at the Lorain Middle School site located in Lorain, Oh, with Mr. Fondriest Fountain. Mr. Fountain and I Will work with the eighth and ninth grade students in constructing robots, in which the students are told are made for NASA research which is being conducted on the surface of planet Mars. The robots, which are built from LEGOS and programmed through RoboLab computer software, are prepared to complete assigned Missions such as running obstacle courses; plowing and retrieving LEGOS; and scanning surfaces for intense regions of light.
NASA Astrophysics Data System (ADS)
Kuzle, A.
2018-06-01
The important role that metacognition plays as a predictor for student mathematical learning and for mathematical problem-solving, has been extensively documented. But only recently has attention turned to primary grades, and more research is needed at this level. The goals of this paper are threefold: (1) to present metacognitive framework during mathematics problem-solving, (2) to describe their multi-method interview approach developed to study student mathematical metacognition, and (3) to empirically evaluate the utility of their model and the adaptation of their approach in the context of grade 2 and grade 4 mathematics problem-solving. The results are discussed not only with regard to further development of the adapted multi-method interview approach, but also with regard to their theoretical and practical implications.
ERIC Educational Resources Information Center
Hassidov, Dina; Ilany, Bat-Sheva
2018-01-01
This article presents a mixed-method study of the innovative "Senso-Math" preschool program and the reactions of both the facilitators, who underwent a special training program, and the preschool teachers in whose classes the program was implemented. The goal of the program is to enhance mathematical development in preschool children…
ERIC Educational Resources Information Center
Tomblin, Elizabeth A.; And Others
The San Diego Board of Education requested that pilot programs be conducted with commercially developed (Grades K-8) mathematics textbooks and programs in order to determine which of the programs/texts were superior, and whether a district-developed program could successfully compete with commercially produced materials. The pilot program…
Transforming Teacher Preparation to Ensure Long-Term Improvement in STEM Teaching
ERIC Educational Resources Information Center
Hiebert, James
2013-01-01
An alternative mathematics preparation program for K-8 teachers is described as an existence proof that steadily increasing effectiveness of STEM (science, technology, engineering, and mathematics) preparation is possible. The program is based on treating every lesson in each of five mathematics content and methods courses as objects of study.…
ERIC Educational Resources Information Center
Chang, Jen-Mei; Kwon, Chuhee; Stevens, Lora; Buonora, Paul
2016-01-01
This article presents implementation details and findings of a National Science Foundation Scholarship in Science, Technology, Engineering, and Mathematics Program (S-STEM) consisting of many high-impact practices to recruit and retain students in the physical sciences and mathematics programs, particularly first-generation and underrepresented…
Recommendations for an Undergraduate Program in Computational Mathematics.
ERIC Educational Resources Information Center
Committee on the Undergraduate Program in Mathematics, Berkeley, CA.
This report describes an undergraduate program designed to produce mathematicians who will know how to use and to apply computers. There is a core of 12 one-semester courses: five in mathematics, four in computational mathematics and three in computer science, leaving the senior year for electives. The content and spirit of these courses are…
Evaluating the Effects of Mastery Learning in Postsecondary Developmental Mathematics
ERIC Educational Resources Information Center
Bradley, Kirk
2016-01-01
The purpose of this study was to determine which academic and affective student factors were significant to student success in a mastery learning program in developmental mathematics and to determine if the mastery learning program led to increased mathematical knowledge retention and success in the subsequent math course. The first phase of the…
Technology: The Key to the Reformation of Developmental Mathematics Pedagogy
ERIC Educational Resources Information Center
Ben-Jacob, Marion G.
2016-01-01
There is a movement nationwide to enhance the learning experience of college students who need to take courses in developmental mathematics. Technology is instrumental in eliminating the non-credit bearing courses from their programs of study. The restructuring of the mathematics programs allows for greater confidence on the parts of the students…
A Conversion Tool for Mathematical Expressions in Web XML Files.
ERIC Educational Resources Information Center
Ohtake, Nobuyuki; Kanahori, Toshihiro
2003-01-01
This article discusses the conversion of mathematical equations into Extensible Markup Language (XML) on the World Wide Web for individuals with visual impairments. A program is described that converts the presentation markup style to the content markup style in MathML to allow browsers to render mathematical expressions without other programs.…
Creating Printed Materials for Mathematics with a Macintosh Computer.
ERIC Educational Resources Information Center
Mahler, Philip
This document gives instructions on how to use a Macintosh computer to create printed materials for mathematics. A Macintosh computer, Microsoft Word, and objected-oriented (Draw-type) art program, and a function-graphing program are capable of producing high quality printed instructional materials for mathematics. Word 5.1 has an equation editor…
Research on Mathematical Literacy in Schools--Aim, Approach and Attention
ERIC Educational Resources Information Center
Haara, Frode Olav; Bolstad, Oda Heidi; Jenssen, Eirik S.
2017-01-01
The development of mathematical literacy in schools is of significant concern at the policy level, and research is an important source of information in this process. This review article focuses on areas of research interest identified in empirical projects on mathematical literacy, and how mathematical literacy in schools is approached by…
ERIC Educational Resources Information Center
Osmanoglu, Aslihan; Dincer, Emrah Oguzhan
2018-01-01
The aim of this study was to investigate prospective secondary mathematics teachers' perceptions on and adaptation of student-centred approach to teaching. The study was conducted with 58 prospective secondary mathematics teachers who were the graduates from mathematics departments from different universities' Science and Literature faculties.…
ERIC Educational Resources Information Center
Serin, Mehmet Koray; Incikabi, Semahat
2017-01-01
Mathematics educators have reported on many issues regarding students' mathematical education, particularly students who received mathematics education at different departments such as engineering, science or primary school, including their difficulties with mathematical concepts, their understanding of and preferences for mathematical concepts.…
NASA Astrophysics Data System (ADS)
Hidayat, D.; Nurlaelah, E.; Dahlan, J. A.
2017-09-01
The ability of mathematical creative and critical thinking are two abilities that need to be developed in the learning of mathematics. Therefore, efforts need to be made in the design of learning that is capable of developing both capabilities. The purpose of this research is to examine the mathematical creative and critical thinking ability of students who get rigorous mathematical thinking (RMT) approach and students who get expository approach. This research was quasi experiment with control group pretest-posttest design. The population were all of students grade 11th in one of the senior high school in Bandung. The result showed that: the achievement of mathematical creative and critical thinking abilities of student who obtain RMT is better than students who obtain expository approach. The use of Psychological tools and mediation with criteria of intentionality, reciprocity, and mediated of meaning on RMT helps students in developing condition in critical and creative processes. This achievement contributes to the development of integrated learning design on students’ critical and creative thinking processes.
Departures From Optimality When Pursuing Multiple Approach or Avoidance Goals
2016-01-01
This article examines how people depart from optimality during multiple-goal pursuit. The authors operationalized optimality using dynamic programming, which is a mathematical model used to calculate expected value in multistage decisions. Drawing on prospect theory, they predicted that people are risk-averse when pursuing approach goals and are therefore more likely to prioritize the goal in the best position than the dynamic programming model suggests is optimal. The authors predicted that people are risk-seeking when pursuing avoidance goals and are therefore more likely to prioritize the goal in the worst position than is optimal. These predictions were supported by results from an experimental paradigm in which participants made a series of prioritization decisions while pursuing either 2 approach or 2 avoidance goals. This research demonstrates the usefulness of using decision-making theories and normative models to understand multiple-goal pursuit. PMID:26963081
Air-Breathing Hypersonic Vehicle Tracking Control Based on Adaptive Dynamic Programming.
Mu, Chaoxu; Ni, Zhen; Sun, Changyin; He, Haibo
2017-03-01
In this paper, we propose a data-driven supplementary control approach with adaptive learning capability for air-breathing hypersonic vehicle tracking control based on action-dependent heuristic dynamic programming (ADHDP). The control action is generated by the combination of sliding mode control (SMC) and the ADHDP controller to track the desired velocity and the desired altitude. In particular, the ADHDP controller observes the differences between the actual velocity/altitude and the desired velocity/altitude, and then provides a supplementary control action accordingly. The ADHDP controller does not rely on the accurate mathematical model function and is data driven. Meanwhile, it is capable to adjust its parameters online over time under various working conditions, which is very suitable for hypersonic vehicle system with parameter uncertainties and disturbances. We verify the adaptive supplementary control approach versus the traditional SMC in the cruising flight, and provide three simulation studies to illustrate the improved performance with the proposed approach.
Mixed Integer Programming and Heuristic Scheduling for Space Communication Networks
NASA Technical Reports Server (NTRS)
Cheung, Kar-Ming; Lee, Charles H.
2012-01-01
We developed framework and the mathematical formulation for optimizing communication network using mixed integer programming. The design yields a system that is much smaller, in search space size, when compared to the earlier approach. Our constrained network optimization takes into account the dynamics of link performance within the network along with mission and operation requirements. A unique penalty function is introduced to transform the mixed integer programming into the more manageable problem of searching in a continuous space. The constrained optimization problem was proposed to solve in two stages: first using the heuristic Particle Swarming Optimization algorithm to get a good initial starting point, and then feeding the result into the Sequential Quadratic Programming algorithm to achieve the final optimal schedule. We demonstrate the above planning and scheduling methodology with a scenario of 20 spacecraft and 3 ground stations of a Deep Space Network site. Our approach and framework have been simple and flexible so that problems with larger number of constraints and network can be easily adapted and solved.
NASA Astrophysics Data System (ADS)
Ilyas, Muhammad; Salwah
2017-02-01
The type of this research was experiment. The purpose of this study was to determine the difference and the quality of student's learning achievement between students who obtained learning through Realistic Mathematics Education (RME) approach and students who obtained learning through problem solving approach. This study was a quasi-experimental research with non-equivalent experiment group design. The population of this study was all students of grade VII in one of junior high school in Palopo, in the second semester of academic year 2015/2016. Two classes were selected purposively as sample of research that was: year VII-5 as many as 28 students were selected as experiment group I and VII-6 as many as 23 students were selected as experiment group II. Treatment that used in the experiment group I was learning by RME Approach, whereas in the experiment group II by problem solving approach. Technique of data collection in this study gave pretest and posttest to students. The analysis used in this research was an analysis of descriptive statistics and analysis of inferential statistics using t-test. Based on the analysis of descriptive statistics, it can be concluded that the average score of students' mathematics learning after taught using problem solving approach was similar to the average results of students' mathematics learning after taught using realistic mathematics education (RME) approach, which are both at the high category. In addition, It can also be concluded that; (1) there was no difference in the results of students' mathematics learning taught using realistic mathematics education (RME) approach and students who taught using problem solving approach, (2) quality of learning achievement of students who received RME approach and problem solving approach learning was same, which was at the high category.
Building a Program of University Physics and Mathematics Education
NASA Astrophysics Data System (ADS)
Tanaka, Tadayoshi; Nakamura, Akira; Kagiyama, Shigenori; Namiki, Masatoshi; Ejiri, Arisato; Ohshima, Kazunari; Mishima, Akiomi; Aoki, Katsuhiko
Authors built physics learning modules which consist of lectures, experiments and practices, introducing physics experiments of elementary and secondary education. In addition, we are operating "KIT Mathematics Navigation" in order to complement mathematical basics to engineering education. Based on these results, we are building studies and development of an education program in order to support the learning paradigm shift and to help students learn physics and mathematics complimentarily for liberal arts education course in universities.
Characteristic of critical and creative thinking of students of mathematics education study program
NASA Astrophysics Data System (ADS)
Rochmad; Agoestanto, A.; Kharis, M.
2018-03-01
Critical and creative thinking give important role in learning matematics for mathematics education students. This research to explored the characteristic of critical and creative thinking of students of mathematics study program in mathematics department. Critical thinking and creative thinking can be illustrated as two sides of a coin, which one is associated to the other. In elementary linear algebra courses, however, critical thinking can be seen as a foundation to build students’ creative thinking.
Foundations in Science and Mathematics Program for Middle School and High School Students
NASA Astrophysics Data System (ADS)
Desai, Karna Mahadev; Yang, Jing; Hemann, Jason
2016-01-01
The Foundations in Science and Mathematics (FSM) is a graduate student led summer program designed to help middle school and high school students strengthen their knowledge and skills in mathematics and science. FSM provides two-week-long courses over a broad spectrum of disciplines including astronomy, biology, chemistry, computer programming, geology, mathematics, and physics. Students can chose two types of courses: (1) courses that help students learn the fundamental concepts in basic sciences and mathematics (e.g., "Precalculus"); and (2) knowledge courses that might be excluded from formal schooling (e.g., "Introduction to Universe"). FSM has served over 500 students in the Bloomington, IN, community over six years by acquiring funding from Indiana University and the Indiana Space Grant Consortium. FSM offers graduate students the opportunity to obtain first hand experience through independent teaching and curriculum design as well as leadership experience.We present the design of the program, review the achievements, and explore the challenges we face. We are open to collaboration with similar educational outreach programs. For more information, please visit http://www.indiana.edu/~fsm/ .
Chapter I Mathematics Program, 1983-84. Report of Evaluation.
ERIC Educational Resources Information Center
Tompkins, John F.
This report provides an evaluation of the Chapter I mathematics program for 1,020 first through eighth grade students in the Des Moines Independent Community School District. Included is a description of the program, information on program budget and expenditures, and narrative accounts of the attainment of 17 performance and process objectives.…
ERIC Educational Resources Information Center
National Science Foundation, Arlington, VA. Div. of Undergraduate Education.
The Undergraduate Course and Curriculum Development Program of the National Science Foundation supports the development of courses in all disciplines to improve the quality of undergraduate courses and curricula in science, mathematics, engineering, and technology. The purpose of the program in Curriculum Development in Mathematics: Calculus and…
ERIC Educational Resources Information Center
Chen, Chiu-Jung; Liu, Pei-Lin
2007-01-01
This study evaluated the effects of a personalized computer-assisted mathematics problem-solving program on the performance and attitude of Taiwanese fourth grade students. The purpose of this study was to determine whether the personalized computer-assisted program improved student performance and attitude over the nonpersonalized program.…
Käser, Tanja; Baschera, Gian-Marco; Kohn, Juliane; Kucian, Karin; Richtmann, Verena; Grond, Ursina; Gross, Markus; von Aster, Michael
2013-01-01
This article presents the design and a first pilot evaluation of the computer-based training program Calcularis for children with developmental dyscalculia (DD) or difficulties in learning mathematics. The program has been designed according to insights on the typical and atypical development of mathematical abilities. The learning process is supported through multimodal cues, which encode different properties of numbers. To offer optimal learning conditions, a user model completes the program and allows flexible adaptation to a child's individual learning and knowledge profile. Thirty-two children with difficulties in learning mathematics completed the 6–12-weeks computer training. The children played the game for 20 min per day for 5 days a week. The training effects were evaluated using neuropsychological tests. Generally, children benefited significantly from the training regarding number representation and arithmetic operations. Furthermore, children liked to play with the program and reported that the training improved their mathematical abilities. PMID:23935586
ERIC Educational Resources Information Center
Lesik, Sally A.
2007-01-01
The impact of academic programs--such as developmental mathematics programs--on student retention, has been a controversial topic for administrators, policy makers, and faculty in higher education. Despite deep interest in the effectiveness of these programs in retaining students, scholars have been unable to determine whether such programs have a…
Improvement of the Processes of Liquid-Phase Epitaxial Growth of Nanoheteroepitaxial Structures
NASA Astrophysics Data System (ADS)
Maronchuk, I. I.; Sanikovich, D. D.; Potapkov, P. V.; Vel‧chenko, A. A.
2018-05-01
We have revealed the shortcomings of equipment and technological approaches in growing nanoheteroepitaxial structures with quantum dots by liquid-phase epitaxy. We have developed and fabricated a new vertical barreltype cassette for growing quantum dots and epitaxial layers of various thicknesses in one technological process. A physico-mathematical simulation has been carried out of the processes of liquid-phase epitaxial growth of quantumdimensional structures with the use of the program product SolidWorks (FlowSimulation program). Analysis has revealed the presence of negative factors influencing the growth process of the above structures. The mathematical model has been optimized, and the equipment has been modernized without additional experiments and measurements. The flow dynamics of the process gas in the reactor at various flow rates has been investigated. A method for tuning the thermal equipment has been developed. The calculated and experimental temperature distributions in the process of growing structures with high reproducibility are in good agreement, which confirms the validity of the modernization made.
NASA Astrophysics Data System (ADS)
Milaturrahmah, Naila; Mardiyana, Pramudya, Ikrar
2017-08-01
This 21st century demands competent human resources in science, technology, engineering design and mathematics so that education is expected to integrate the four disciplines. This paper aims to describe the importance of STEM as mathematics learning approach in Indonesia in the 21st century. This paper uses a descriptive analysis research method, and the method reveals that STEM education growing in developed countries today can be a framework for innovation mathematics in Indonesia in the 21st century. STEM education integrate understanding of science, math skills, and the available technology with the ability to perform engineering design process. Implementation of mathematics learning with STEM approach makes graduates trained in using of mathematics knowledge that they have to create innovative products that are able to solve the problems that exist in society.
Mathematical Modeling Approaches in Plant Metabolomics.
Fürtauer, Lisa; Weiszmann, Jakob; Weckwerth, Wolfram; Nägele, Thomas
2018-01-01
The experimental analysis of a plant metabolome typically results in a comprehensive and multidimensional data set. To interpret metabolomics data in the context of biochemical regulation and environmental fluctuation, various approaches of mathematical modeling have been developed and have proven useful. In this chapter, a general introduction to mathematical modeling is presented and discussed in context of plant metabolism. A particular focus is laid on the suitability of mathematical approaches to functionally integrate plant metabolomics data in a metabolic network and combine it with other biochemical or physiological parameters.
ERIC Educational Resources Information Center
Westensko, Arla; Moyer-Packenham, Patricia S.; Child, Barbara
2017-01-01
This study describes 3 years of mathematics intervention research examining the effectiveness of a summer individualized tutoring program for rising fourth-, fifth-, and sixth-grade students with low mathematics achievement. Based on an iceberg model of learning, an instructional framework was developed that identified and targeted students'…
An Evaluation of Elementary School Mathematics Programs Utilizing the Mini-Calculator.
ERIC Educational Resources Information Center
Campbell, Patricia; Virgin, A. E.
The purpose of this study was to compare the achievement, attitudes, and teaching/learning experiences in mathematics programs of two groups of elementary-school students in grades 5 and 6. Approximately 150 students in each of two elementary schools were given as a pretest a standardized mathematics achievement test and a questionnaire regarding…
for Middle School Science and Mathematics Teachers
ERIC Educational Resources Information Center
Lee, Mimi Miyoung; Chauvot, Jennifer B.; Vowell, Julie; Culpepper, Shea Mosley; Plankis, Brian J.
2013-01-01
This paper is based on an online graduate program for middle school science and mathematics teachers in Texas titled Integration of Science, Mathematics and Reflective Teaching (iSMART). Launching the program for its first cohort in fall 2010, the authors attempted to answer the following two questions in this paper: (a) How do the members of the…
ERIC Educational Resources Information Center
KOPSTEIN, FELIX F.; MILLS, DONALD F.
AN EVALUATION WAS CONDUCTED TO ANSWER THREE QUESTIONS--(1) HOW MUCH DID ELEMENTATY SCHOOL TEACHERS WHO VIEWED INSTRUCTIONAL TELECASTS ON MODERN MATHEMATICS KNOW ABOUT THE NEWER MATHEMATICAL CONCEPTS BEFORE THE SERIES OF PROGRAMS BEGAN, AND WHAT WERE THEIR ATTITUDES, (2) HOW MUCH DID THE TEACHERS KNOW, AND HOW MUCH WERE THEIR ATTITUDES CHANGED…
ERIC Educational Resources Information Center
Hudesman, John; Crosby, Sara; Ziehmke, Niesha; Everson, Howard; Issac, Sharlene; Flugman, Bert; Zimmerman, Barry; Moylan, Adam
2014-01-01
The authors describe an Enhanced Formative Assessment and Self-Regulated Learning (EFA-SRL) program designed to improve the achievement of community college students enrolled in developmental mathematics courses. Their model includes the use of specially formatted quizzes designed to assess both the students' mathematics and metacognitive skill…
ERIC Educational Resources Information Center
Duncan, Sarah I.; Bishop, Pamela; Lenhart, Suzanne
2010-01-01
We describe a unique Research Experience for Undergraduates and Research Experience for Veterinary students summer program at the National Institute for Mathematical and Biological Synthesis on the campus of the University of Tennessee, Knoxville. The program focused on interdisciplinary research at the interface of biology and mathematics.…
ERIC Educational Resources Information Center
DUREN, WILLIAM L.
THIS REPORT DESCRIBES A PROGRAM FOR THE UNDERGRADUATE MATHEMATICAL PREPARATION OF STUDENTS IN THE BIOLOGICAL, MANAGEMENT, AND SOCIAL SCIENCES (BMSS). THE COMMITTEE RECOMMENDS A SEQUENCE OF COURSES WHICH IS DESIGNED TO PROVIDE VARIED TRAINING IN MATHEMATICS IN THE LIMITED TIME BMSS STUDENTS HAVE AVAILABLE. OF SPECIAL IMPORTANCE ARE ELEMENTARY…
Middle School Mathematics: A Study of Three Programs in South Texas
ERIC Educational Resources Information Center
Ellis, Joanetta Dowell
2011-01-01
In 2010, the Texas Assessment of Knowledge and Skills (TAKS) began its seventh year of testing (Texas Education Agency, 2009a). High stakes testing is a reality. This study considered the impact on mathematics achievement based on the mathematics program students were receiving during their middle school years. The purpose of this study was to…
ERIC Educational Resources Information Center
Bicer, Ali; Capraro, Robert M.
2017-01-01
MathForward is a program that provides teacher professional development and integrates the use of technology as a tool in the classroom. The present study examined students' mathematics growth from 2012 to 2013 and observed how students' mathematics scores changed after their school implemented the MathForward program. The sample consisted of two…
Investigating and Developing Engineering Students' Mathematical Modelling and Problem-Solving Skills
ERIC Educational Resources Information Center
Wedelin, Dag; Adawi, Tom; Jahan, Tabassum; Andersson, Sven
2015-01-01
How do engineering students approach mathematical modelling problems and how can they learn to deal with such problems? In the context of a course in mathematical modelling and problem solving, and using a qualitative case study approach, we found that the students had little prior experience of mathematical modelling. They were also inexperienced…
Exploring the Effectiveness of Different Approaches to Teaching Finite Mathematics
ERIC Educational Resources Information Center
Smeal, Mary; Walker, Sandra; Carter, Jamye; Simmons-Johnson, Carolyn; Balam, Esenc
2013-01-01
Traditionally, mathematics has been taught using a very direct approach which the teacher explains the procedure to solve a problem and the students use pencil and paper to solve the problem. However, a variety of alternative approaches to mathematics have surfaced from a number of different directions. The purpose of this study was to examine the…
ERIC Educational Resources Information Center
Yilmaz, Rezan
2014-01-01
This study aims to present the cognitive competences of the pre-service teacher about discovery learning approach in mathematical education. The study was conducted with 37 mathematics pre-service teachers who study Special Teaching Methods lesson in a state university in Turkey. Throughout the lesson, the approaches used in learning were examined…
ERIC Educational Resources Information Center
Isiksal-Bostan, Mine; Sahin, Elvan; Ertepinar, Hamide
2015-01-01
The purpose of this study was to examine the relationships among Turkish classroom, science and mathematics teachers' beliefs toward using inquiry-based approaches, traditional teaching approaches, and technology in their mathematics and science classrooms; their efficacy beliefs in teaching those subjects; and years of experience in teaching in…
Mathematics: Program Assessment and Improvement Planning Manual.
ERIC Educational Resources Information Center
Whitman, Nancy C.; And Others
This document provides a model for assessing a school's mathematics program and planning for program improvement. A systematic process for instructional improvement focuses upon students' needs and the identification of successful instructional strategies to meet these needs. The improvement plan and the implementation of intervention strategies…
The 1980 summer research fellowship program
NASA Technical Reports Server (NTRS)
Darden, G. C. (Compiler)
1980-01-01
The problem of incorporating visual input into robot systems is described. The photochemistry of the stratosphere, particularly possible permutations of the ozone layer, is discussed. Photoelectrochemical properties of metal thio-hypodiphosphates are investigated. Extreme eigenvalues are computed by the Lancqos approach. The rotational Raman spectra of the molecular atmosphere is studied. A computer operated mathematical symbolic manipulation system is described. Preparation of polycrystalline semiconductor electrodes of tungsten and molybdenum dichalcogenides is received.
Garza, D; Besier, T; Johnston, T; Rolston, B; Schorsch, A; Matheson, G; Annerstedt, C; Lindh, J; Rydmark, M
2007-01-01
New fields such as bioengineering are exploring the role of the physical sciences in traditional biological approaches to problems, with exciting results in device innovation, medicine, and research biology. The integration of mathematics, biomechanics, and material sciences into the undergraduate biology curriculum will better prepare students for these opportunities and enhance cooperation among faculty and students at the university level. We propose the study of sports science as the basis for introduction of this interdisciplinary program. This novel integrated approach will require a virtual human performance laboratory dual-hosted in Sweden and the United States. We have designed a course model that involves cooperative learning between students at Göteborg University and Stanford University, utilizes new technologies, encourages development of original research and will rely on frequent self-assessment and reflective learning. We will compare outcomes between this course and a more traditional didactic format as well as assess the effectiveness of multiple web-hosted virtual environments. We anticipate the grant will result in a network of original faculty and student research in exercise science and pedagogy as well as provide the opportunity for implementation of the model in more advance training levels and K-12 programs.
A mathematical programming approach for sequential clustering of dynamic networks
NASA Astrophysics Data System (ADS)
Silva, Jonathan C.; Bennett, Laura; Papageorgiou, Lazaros G.; Tsoka, Sophia
2016-02-01
A common analysis performed on dynamic networks is community structure detection, a challenging problem that aims to track the temporal evolution of network modules. An emerging area in this field is evolutionary clustering, where the community structure of a network snapshot is identified by taking into account both its current state as well as previous time points. Based on this concept, we have developed a mixed integer non-linear programming (MINLP) model, SeqMod, that sequentially clusters each snapshot of a dynamic network. The modularity metric is used to determine the quality of community structure of the current snapshot and the historical cost is accounted for by optimising the number of node pairs co-clustered at the previous time point that remain so in the current snapshot partition. Our method is tested on social networks of interactions among high school students, college students and members of the Brazilian Congress. We show that, for an adequate parameter setting, our algorithm detects the classes that these students belong more accurately than partitioning each time step individually or by partitioning the aggregated snapshots. Our method also detects drastic discontinuities in interaction patterns across network snapshots. Finally, we present comparative results with similar community detection methods for time-dependent networks from the literature. Overall, we illustrate the applicability of mathematical programming as a flexible, adaptable and systematic approach for these community detection problems. Contribution to the Topical Issue "Temporal Network Theory and Applications", edited by Petter Holme.
NASA Technical Reports Server (NTRS)
Mahon, Lee
1997-01-01
The purpose of this proposal was to field test and evaluate a Teacher Training program that would prepare teachers to increase the motivation and achievement of culturally diverse students in the areas of science and mathematics. Designed as a three year program, this report covers the first two years of the training program at the Ronald McNair School in the Ravenswood School district, using the resources of the NASA Ames Research Center and the California Framework for Mathematics and Science.
NASA Technical Reports Server (NTRS)
Hayden, W. L.; Robinson, L. H.
1972-01-01
Spectral analyses of angle-modulated communication systems is studied by: (1) performing a literature survey of candidate power spectrum computational techniques, determining the computational requirements, and formulating a mathematical model satisfying these requirements; (2) implementing the model on UNIVAC 1230 digital computer as the Spectral Analysis Program (SAP); and (3) developing the hardware specifications for a data acquisition system which will acquire an input modulating signal for SAP. The SAP computational technique uses extended fast Fourier transform and represents a generalized approach for simple and complex modulating signals.
An automated approach to design of solid rockets utilizing a special internal ballistics model
NASA Technical Reports Server (NTRS)
Sforzini, R. H.
1980-01-01
A pattern search technique is presented, which is utilized in a computer program that minimizes the sum of the squares of the differences, at various times, between a desired thrust-time trace and that calculated with a special mathematical internal ballistics model of a solid propellant rocket motor. The program is demonstrated by matching the thrust-time trace obtained from static tests of the first Space Shuttle SRM starting with input values of 10 variables which are, in general, 10% different from the as-built SRM. It is concluded that an excellent match is obtained.
Method of optimization onboard communication network
NASA Astrophysics Data System (ADS)
Platoshin, G. A.; Selvesuk, N. I.; Semenov, M. E.; Novikov, V. M.
2018-02-01
In this article the optimization levels of onboard communication network (OCN) are proposed. We defined the basic parameters, which are necessary for the evaluation and comparison of modern OCN, we identified also a set of initial data for possible modeling of the OCN. We also proposed a mathematical technique for implementing the OCN optimization procedure. This technique is based on the principles and ideas of binary programming. It is shown that the binary programming technique allows to obtain an inherently optimal solution for the avionics tasks. An example of the proposed approach implementation to the problem of devices assignment in OCN is considered.
Mixed Integer Linear Programming model for Crude Palm Oil Supply Chain Planning
NASA Astrophysics Data System (ADS)
Sembiring, Pasukat; Mawengkang, Herman; Sadyadharma, Hendaru; Bu'ulolo, F.; Fajriana
2018-01-01
The production process of crude palm oil (CPO) can be defined as the milling process of raw materials, called fresh fruit bunch (FFB) into end products palm oil. The process usually through a series of steps producing and consuming intermediate products. The CPO milling industry considered in this paper does not have oil palm plantation, therefore the FFB are supplied by several public oil palm plantations. Due to the limited availability of FFB, then it is necessary to choose from which plantations would be appropriate. This paper proposes a mixed integer linear programming model the supply chain integrated problem, which include waste processing. The mathematical programming model is solved using neighborhood search approach.
NASA Astrophysics Data System (ADS)
Sutrisno; Widowati; Sunarsih; Kartono
2018-01-01
In this paper, a mathematical model in quadratic programming with fuzzy parameter is proposed to determine the optimal strategy for integrated inventory control and supplier selection problem with fuzzy demand. To solve the corresponding optimization problem, we use the expected value based fuzzy programming. Numerical examples are performed to evaluate the model. From the results, the optimal amount of each product that have to be purchased from each supplier for each time period and the optimal amount of each product that have to be stored in the inventory for each time period were determined with minimum total cost and the inventory level was sufficiently closed to the reference level.
Geospatial Education: Working with the NASA Airborne Science Program
NASA Astrophysics Data System (ADS)
Lockwood, C. M.; Handley, L.; Handley, N.
2010-12-01
WETMAAP (Wetland Education Through Maps and Aerial Photography) , a program of CNL World, supports the NASA Strategic Goals and Objectives for Education by providing classroom teachers and formal and informal educators with professional development. WETMAAP promotes science by inquiry through the use of a building-block process, comparative analysis, and analytical observations. Through the WETMAAP workshops and website, educators receive the concepts necessary to provide students with a basic understanding of maps, aerial photography, and satellite and airborne imagery that focus on the study of wetlands and wetland change. The program targets educators, Grades 5 - 12, in earth science, environmental science, biology, geography, and mathematics, and emphasizes a comprehensive curriculum approach.
ERIC Educational Resources Information Center
Paprzycki, Peter; Tuttle, Nicole; Czerniak, Charlene M.; Molitor, Scott; Kadervaek, Joan; Mendenhall, Robert
2017-01-01
This study investigates the effect of a Framework-aligned professional development program at the PreK-3 level. The NSF funded program integrated science with literacy and mathematics learning and provided teacher professional development, along with materials and programming for parents to encourage science investigations and discourse around…
ERIC Educational Resources Information Center
Bowens, Bryan D.; Warren, Susan R.
2016-01-01
This two-part investigation (a) assessed the impact of the Jaime Escalante Math Program (JEMP), a structured summer mathematics intervention program, on the math achievement of urban middle school students, (b) identified the characteristics of the program that the administrators and teachers perceived to contribute to student achievement, and (c)…
Special Studies--A Statewide Remedial Mathematics Program of the University System of Georgia.
ERIC Educational Resources Information Center
Chang, Ping-Tung
Drawing upon selected findings from student and faculty surveys, this report describes the remedial mathematics component of the University of Georgia's Special Studies Program. After examining the need for basic skills programs in an era of declining test scores and open admissions policies, the report describes the Special Studies Program's…
Indicators that influence prospective mathematics teachers representational and reasoning abilities
NASA Astrophysics Data System (ADS)
Darta; Saputra, J.
2018-01-01
Representational and mathematical reasoning ability are very important ability as basic in mathematics learning process. The 2013 curriculum suggests that the use of a scientific approach emphasizes higher order thinking skills. Therefore, a scientific approach is required in mathematics learning to improve ability of representation and mathematical reasoning. The objectives of this research are: (1) to analyze representational and reasoning abilities, (2) to analyze indicators affecting the ability of representation and mathematical reasoning, (3) to analyze scientific approaches that can improve the ability of representation and mathematical reasoning. The subject of this research is the students of mathematics prospective teachers in the first semester at Private Higher Education of Bandung City. The research method of this research was descriptive analysis. The research data were collected using reasoning and representation tests on sixty-one students. Data processing was done by descriptive analysis specified based on the indicators of representation ability and mathematical reasoning that influenced it. The results of this first-year study showed that students still had many weaknesses in reasoning and mathematical representation that were influenced by the ability to understand the indicators of both capabilities. After observing the results of the first-year research, then in the second and third year, the development of teaching materials with a scientific approach in accordance with the needs of prospective students was planned.
Multiple Interactive Pollutants in Water Quality Trading
NASA Astrophysics Data System (ADS)
Sarang, Amin; Lence, Barbara J.; Shamsai, Abolfazl
2008-10-01
Efficient environmental management calls for the consideration of multiple pollutants, for which two main types of transferable discharge permit (TDP) program have been described: separate permits that manage each pollutant individually in separate markets, with each permit based on the quantity of the pollutant or its environmental effects, and weighted-sum permits that aggregate several pollutants as a single commodity to be traded in a single market. In this paper, we perform a mathematical analysis of TDP programs for multiple pollutants that jointly affect the environment (i.e., interactive pollutants) and demonstrate the practicality of this approach for cost-efficient maintenance of river water quality. For interactive pollutants, the relative weighting factors are functions of the water quality impacts, marginal damage function, and marginal treatment costs at optimality. We derive the optimal set of weighting factors required by this approach for important scenarios for multiple interactive pollutants and propose using an analytical elasticity of substitution function to estimate damage functions for these scenarios. We evaluate the applicability of this approach using a hypothetical example that considers two interactive pollutants. We compare the weighted-sum permit approach for interactive pollutants with individual permit systems and TDP programs for multiple additive pollutants. We conclude by discussing practical considerations and implementation issues that result from the application of weighted-sum permit programs.
ERIC Educational Resources Information Center
BROWN, O. ROBERT, JR.
THE EXPERIMENTAL DESIGN IN THIS STUDY OF THE USE OF PROGRAMED MATERIALS TO TEACH HIGH SCHOOL MATHEMATICS DESIGNATED FOUR GROUPS--A CONTROL GROUP TAUGHT CONVENTIONALLY BY TEACHERS TRAINED TO USE PROGRAMED MATERIALS, A "PURE" GROUP USING PROGRAMED MATERIALS ONLY, AND "ANTICIPATING" AND "FOLLOWING" GROUPS THAT USED…
AutoCAD-To-NASTRAN Translator Program
NASA Technical Reports Server (NTRS)
Jones, A.
1989-01-01
Program facilitates creation of finite-element mathematical models from geometric entities. AutoCAD to NASTRAN translator (ACTON) computer program developed to facilitate quick generation of small finite-element mathematical models for use with NASTRAN finite-element modeling program. Reads geometric data of drawing from Data Exchange File (DXF) used in AutoCAD and other PC-based drafting programs. Written in Microsoft Quick-Basic (Version 2.0).
ERIC Educational Resources Information Center
Mungure, Daudi Mika
2017-01-01
This paper investigated the teaching approach used by tutors to prepare science and mathematics teachers during training at Morogoro teachers' college. For six years consecutive the performance of science and mathematics in secondary school has become very poor even though the training colleges produce science and mathematics teachers every year…
ERIC Educational Resources Information Center
Santagata, Rossella; Bray, Wendy
2016-01-01
This study examined processes at the core of teacher professional development (PD) experiences that might positively impact teacher learning and more specifically teacher change. Four processes were considered in the context of a PD program focused on student mathematical errors: analysis of students' mathematical misconceptions as a lever for…
ERIC Educational Resources Information Center
Sample McMeeking, Laura B.; Orsi, Rebecca; Cobb, R. Brian
2012-01-01
The effect of a 15- to 24-month in-service professional development (PD) program on state accountability mathematics test scores for middle school students was examined using a quasi-experimental design. Middle level mathematics teachers (n = 128) from 7 school districts and 64 middle schools volunteered for a PD sequence of content-oriented…
Mathematics for Gifted Students in an Arts- and Technology-Rich Setting
ERIC Educational Resources Information Center
Gadanidis, George; Hughes, Janette; Cordy, Michelle
2011-01-01
In this paper we report on a study of a short-term mathematics program for grade 7-8 gifted students that integrated open-ended mathematics tasks with the arts (poetry and drama) and with technology. The program was offered partially online and partially in a classroom setting. The study sought to investigate (a) students' perceptions of their…
ERIC Educational Resources Information Center
Tow, Tamara
2011-01-01
High-stakes assessments have encouraged educators to ignore the needs of the top performers. Therefore, the Oakwood School District decided to implement a mathematics pilot enrichment program in order to meet the needs of the advanced mathematics students. As a result, this study used quantitative data to determine if there was a significant…
AN EVALUATION OF HIGH SCHOOL MATHEMATICS PROGRAMMED TEXTS WHEN USED WITH DEAF STUDENTS.
ERIC Educational Resources Information Center
BORNSTEIN, HARRY
A COMPARISON WAS MADE OF THE RATE AND LEVEL OF ACHIEVEMENT OF 150 DEAF STUDENTS RESULTING FROM THE USE OF PROGRAMED TEXTS AS AGAINST THE USUAL LECTURE METHODS IN HIGH SCHOOL MATHEMATICS. EACH OF FOUR MATHEMATICS TEACHERS HAD TWO COMPARABLE CLASSES. THE CONTROL GROUP RECEIVED INFORMATION BY SIMULTANEOUS LECTURE AND THE EXPERIMENTAL GROUPS USED THE…
ERIC Educational Resources Information Center
Jacob, Robin; Hill, Heather; Corey, Doug
2017-01-01
In this paper, we describe findings from a three-year evaluation of a well-developed mathematics professional development program that is commercially available on a wide scale. The professional development is designed to improve teachers' mathematical knowledge for teaching and to enable them to elicit more student thinking and reasoning during…
The Initial Response of Secondary Mathematics Teachers to a One-to-One Laptop Program
ERIC Educational Resources Information Center
Zuber, Edward Nordin; Anderson, Judy
2013-01-01
Studies of one-to-one programs consistently report lower use of laptops in mathematics classrooms compared to other subjects but do not elaborate reasons for these observations. This mixed-method study investigated the experiences and beliefs of 28 mathematics teachers at five secondary schools during the second year of the New South Wales Digital…
ERIC Educational Resources Information Center
Aly, Hassan Shawky; Abdulhakeem, Hassan Daker
2016-01-01
This study aimed at assessing the training programs for Mathematics teachers at elementary stage on developed Curricula and attitudes toward teaching at Najran educational administration in Saudi Arabia. To achieve this objective, two instruments were developed, one of them measures the opinions of Mathematics teachers about the training programs…
ERIC Educational Resources Information Center
Vomvoridi-Ivanovic, Eugenia
2012-01-01
This paper explores Mexican-American prospective teachers' use of culture--defined as social practices and shared experiences--as an instructional resource in mathematics. The setting is an after-school mathematics program for the children of Mexican heritage. Qualitative analysis of the prospective teachers' and children's interactions reveals…
Group investigation with scientific approach in mathematics learning
NASA Astrophysics Data System (ADS)
Indarti, D.; Mardiyana; Pramudya, I.
2018-03-01
The aim of this research is to find out the effect of learning model toward mathematics achievement. This research is quasi-experimental research. The population of research is all VII grade students of Karanganyar regency in the academic year of 2016/2017. The sample of this research was taken using stratified cluster random sampling technique. Data collection was done based on mathematics achievement test. The data analysis technique used one-way ANOVA following the normality test with liliefors method and homogeneity test with Bartlett method. The results of this research is the mathematics learning using Group Investigation learning model with scientific approach produces the better mathematics learning achievement than learning with conventional model on material of quadrilateral. Group Investigation learning model with scientific approach can be used by the teachers in mathematics learning, especially in the material of quadrilateral, which is can improve the mathematics achievement.
Barra, Maryanne
2013-01-01
This education evidence based study examined African American students entering the Practical Nursing program and the strategies of medical mathematics bridge and tutoring programs to reduce attrition. To increase retention in the fundamentals of nursing courses, augmenting the program completion rate. DATA/OBSERVATIONS: Two groups of students (n = 105) participated for this one-year study over three semesters. Data revealed passing rates of 87%-92% for the nursing course and 75%-92% on medical mathematics when consistently attending programs. The attrition rate plummeting to 8% -34% contrasting previous years 43%-65%. Retention intervention programs can have a positive impact on minority students' academic performance.
ERIC Educational Resources Information Center
Yazici, Ersen; Peker, Murat; Ertekin, Erhan; Dilmac, Bulent
2011-01-01
Introduction: The aim of this study is to investigate the relation between the pre-service teachers' mathematical values and teaching anxieties in mathematics. Method: The research was carried out on 359 teacher candidates attending the elementary school mathematics, secondary school mathematics and primary school teaching programs. To this end,…
Encouraging Young Women to Stay in the Mathematics Pipeline: Mathematics Camps for Young Women
ERIC Educational Resources Information Center
Chacon, Paul; Soto-Johnson, Hortensia
2003-01-01
For two summers, week-long residential mathematics programs were held for high school women, with the primary goal of encouraging them to continue their study of mathematics. The activities were designed to rekindle their excitement about mathematics and to support the idea that women should learn advanced mathematics. This paper reports the…
ERIC Educational Resources Information Center
Olson, Travis A.
2016-01-01
Preservice Secondary Mathematics Teachers (PSMTs) were surveyed to identify if they could connect early-secondary mathematics content (Grades 7-9) in the Common Core State Standards for Mathematics (CCSSM) with mathematics content studied in content courses for certification in secondary teacher preparation programs. Respondents were asked to…
Designing a Software Tool for Fuzzy Logic Programming
NASA Astrophysics Data System (ADS)
Abietar, José M.; Morcillo, Pedro J.; Moreno, Ginés
2007-12-01
Fuzzy Logic Programming is an interesting and still growing research area that agglutinates the efforts for introducing fuzzy logic into logic programming (LP), in order to incorporate more expressive resources on such languages for dealing with uncertainty and approximated reasoning. The multi-adjoint logic programming approach is a recent and extremely flexible fuzzy logic paradigm for which, unfortunately, we have not found practical tools implemented so far. In this work, we describe a prototype system which is able to directly translate fuzzy logic programs into Prolog code in order to safely execute these residual programs inside any standard Prolog interpreter in a completely transparent way for the final user. We think that the development of such fuzzy languages and programing tools might play an important role in the design of advanced software applications for computational physics, chemistry, mathematics, medicine, industrial control and so on.
78 FR 37590 - Agency Information Collection Activities: Submission for OMB Review; Comment Request
Federal Register 2010, 2011, 2012, 2013, 2014
2013-06-21
...: Program Evaluation of the Scholarships in Science, Technology, Engineering, and Mathematics (S-STEM... Mathematics (S-STEM) Program, which operates within NSF's Division of Undergraduate Education. The evaluation...
Science, Engineering, Mathematics and Aerospace Academy
NASA Technical Reports Server (NTRS)
1996-01-01
The Science, Engineering, Mathematics and Aerospace Academy (SEMAA) was established in September, 1993, by Cuyahoga Community College and the NASA Lewis Research Center. Funding for SEMAA was provided by NASA Headquarters' Office of Equal Employment Opportunities. SEMAA brought together five preexisting youth programs at Cuyahoga Community College. All the programs shared the common goals of 1) Increasing the participation of underrepresented/underserved groups in science, mathematics and engineering and technology careers. 2) Increasing "success" rates of all students interested in science and mathematics. 3) Developing partnerships to recognize and support students interested in these fields. 4) Supporting continued success of highly successful students. The framework for each preexisting program allowed SEMAA to have a student population ranging from kindergarten through the twelfth-grade. This connectivness was the foundation for the many decisions which would make SEMAA a truly innovative program.
Problem Posing with Realistic Mathematics Education Approach in Geometry Learning
NASA Astrophysics Data System (ADS)
Mahendra, R.; Slamet, I.; Budiyono
2017-09-01
One of the difficulties of students in the learning of geometry is on the subject of plane that requires students to understand the abstract matter. The aim of this research is to determine the effect of Problem Posing learning model with Realistic Mathematics Education Approach in geometry learning. This quasi experimental research was conducted in one of the junior high schools in Karanganyar, Indonesia. The sample was taken using stratified cluster random sampling technique. The results of this research indicate that the model of Problem Posing learning with Realistic Mathematics Education Approach can improve students’ conceptual understanding significantly in geometry learning especially on plane topics. It is because students on the application of Problem Posing with Realistic Mathematics Education Approach are become to be active in constructing their knowledge, proposing, and problem solving in realistic, so it easier for students to understand concepts and solve the problems. Therefore, the model of Problem Posing learning with Realistic Mathematics Education Approach is appropriately applied in mathematics learning especially on geometry material. Furthermore, the impact can improve student achievement.
Introducing Seismic Tomography with Computational Modeling
NASA Astrophysics Data System (ADS)
Neves, R.; Neves, M. L.; Teodoro, V.
2011-12-01
Learning seismic tomography principles and techniques involves advanced physical and computational knowledge. In depth learning of such computational skills is a difficult cognitive process that requires a strong background in physics, mathematics and computer programming. The corresponding learning environments and pedagogic methodologies should then involve sets of computational modelling activities with computer software systems which allow students the possibility to improve their mathematical or programming knowledge and simultaneously focus on the learning of seismic wave propagation and inverse theory. To reduce the level of cognitive opacity associated with mathematical or programming knowledge, several computer modelling systems have already been developed (Neves & Teodoro, 2010). Among such systems, Modellus is particularly well suited to achieve this goal because it is a domain general environment for explorative and expressive modelling with the following main advantages: 1) an easy and intuitive creation of mathematical models using just standard mathematical notation; 2) the simultaneous exploration of images, tables, graphs and object animations; 3) the attribution of mathematical properties expressed in the models to animated objects; and finally 4) the computation and display of mathematical quantities obtained from the analysis of images and graphs. Here we describe virtual simulations and educational exercises which enable students an easy grasp of the fundamental of seismic tomography. The simulations make the lecture more interactive and allow students the possibility to overcome their lack of advanced mathematical or programming knowledge and focus on the learning of seismological concepts and processes taking advantage of basic scientific computation methods and tools.
Improving Preschoolers' Mathematics Achievement with Tablets: A Randomized Controlled Trial
ERIC Educational Resources Information Center
Schacter, John; Jo, Booil
2017-01-01
With a randomized field experiment of 433 preschoolers, we tested a tablet mathematics program designed to increase young children's mathematics learning. Intervention students played Math Shelf, a comprehensive iPad preschool and year 1 mathematics app, while comparison children received research-based hands-on mathematics instruction delivered…
To Assess Students' Attitudes, Skills and Competencies in Mathematical Modeling
ERIC Educational Resources Information Center
Lingefjard, Thomas; Holmquist, Mikael
2005-01-01
Peer-to-peer assessment, take-home exams and a mathematical modeling survey were used to monitor and assess students' attitudes, skills and competencies in mathematical modeling. The students were all in a secondary mathematics, teacher education program with a comprehensive amount of mathematics studies behind them. Findings indicate that…
The Mathematics Teacher Development with Peer Tutoring Program.
ERIC Educational Resources Information Center
Duffie, William B.; Guida, Frank V.
This project addresses the problem of inadequate mathematics high school teacher staffing and the shortage of mathematics specialists in the elementary school. Regular elementary school teachers interested in becoming certified as high school mathematics teachers, and who had taken at least three college-level mathematics courses, were invited to…
Odyssey® Math. What Works Clearinghouse Intervention Report
ERIC Educational Resources Information Center
What Works Clearinghouse, 2017
2017-01-01
"Odyssey® Math" is a web-based program developed by Compass Learning® for mathematics instruction in grades K-8. The online program includes a mathematics curriculum and formative assessments designed to support differentiated and data-driven instruction. Based on assessment results, the program generates an individualized sequence of…
Teacher Perceptions of an Online Tutoring Program for Elementary Mathematics
ERIC Educational Resources Information Center
Whetstone, Patti; Clark, Amy; Flake, Mari Wheeler
2014-01-01
This study explores elementary teacher perceptions related to the implementation of an online tutoring program. Teachers were surveyed regarding factors that affected use of the online tutoring program as a supplement to mathematics instruction. Results indicated that teachers overwhelmingly reported positive views of the training and support…
Ethnographic Evaluation of the MESA Program at a South-Central Phoenix High School.
ERIC Educational Resources Information Center
Jaramillo, James A.
MESA (Mathematics, Engineering, and Science Achievement) is a program designed to increase the number of underrepresented ethnic groups in professions related to mathematics, engineering, and the physical sciences. This paper describes and evaluates the MESA program at Jarama High School, Phoenix (Arizona), using informal interviews and…
MESA/MEP at American River College: Year One Evaluation Report.
ERIC Educational Resources Information Center
Lee, Beth S.; And Others
In 1989, the Mathematics, Engineering, and Science Achievement (MESA)/Minority Engineering Program (MEP) was initiated at American River College. The MESA/MEP program recruits Black, Hispanic, and Native American students and provides assistance, encouragement, and enrichment programs to help them succeed in the fields of mathematics, engineering,…
Programming in Preschool--With a Focus on Learning Mathematics
ERIC Educational Resources Information Center
Palmér, Hanna
2017-01-01
This article presents a teaching intervention where programming was used to facilitate preschoolers' learning of mathematics, especially in their development of spatial thinking. In the intervention, the programming was made with a small programmable robot especially designed for young students. The results indicate that the children developed…
NASA Technical Reports Server (NTRS)
Hsia, Wei Shen
1989-01-01
A validated technology data base is being developed in the areas of control/structures interaction, deployment dynamics, and system performance for Large Space Structures (LSS). A Ground Facility (GF), in which the dynamics and control systems being considered for LSS applications can be verified, was designed and built. One of the important aspects of the GF is to verify the analytical model for the control system design. The procedure is to describe the control system mathematically as well as possible, then to perform tests on the control system, and finally to factor those results into the mathematical model. The reduction of the order of a higher order control plant was addressed. The computer program was improved for the maximum entropy principle adopted in Hyland's MEOP method. The program was tested against the testing problem. It resulted in a very close match. Two methods of model reduction were examined: Wilson's model reduction method and Hyland's optimal projection (OP) method. Design of a computer program for Hyland's OP method was attempted. Due to the difficulty encountered at the stage where a special matrix factorization technique is needed in order to obtain the required projection matrix, the program was successful up to the finding of the Linear Quadratic Gaussian solution but not beyond. Numerical results along with computer programs which employed ORACLS are presented.
On the interplay between mathematics and biology. Hallmarks toward a new systems biology
NASA Astrophysics Data System (ADS)
Bellomo, Nicola; Elaiw, Ahmed; Althiabi, Abdullah M.; Alghamdi, Mohammed Ali
2015-03-01
This paper proposes a critical analysis of the existing literature on mathematical tools developed toward systems biology approaches and, out of this overview, develops a new approach whose main features can be briefly summarized as follows: derivation of mathematical structures suitable to capture the complexity of biological, hence living, systems, modeling, by appropriate mathematical tools, Darwinian type dynamics, namely mutations followed by selection and evolution. Moreover, multiscale methods to move from genes to cells, and from cells to tissue are analyzed in view of a new systems biology approach.
On the engineering of crucial software
NASA Technical Reports Server (NTRS)
Pratt, T. W.; Knight, J. C.; Gregory, S. T.
1983-01-01
The various aspects of the conventional software development cycle are examined. This cycle was the basis of the augmented approach contained in the original grant proposal. This cycle was found inadequate for crucial software development, and the justification for this opinion is presented. Several possible enhancements to the conventional software cycle are discussed. Software fault tolerance, a possible enhancement of major importance, is discussed separately. Formal verification using mathematical proof is considered. Automatic programming is a radical alternative to the conventional cycle and is discussed. Recommendations for a comprehensive approach are presented, and various experiments which could be conducted in AIRLAB are described.
Modeling an integrated hospital management planning problem using integer optimization approach
NASA Astrophysics Data System (ADS)
Sitepu, Suryati; Mawengkang, Herman; Irvan
2017-09-01
Hospital is a very important institution to provide health care for people. It is not surprising that nowadays the people’s demands for hospital is increasing. However, due to the rising cost of healthcare services, hospitals need to consider efficiencies in order to overcome these two problems. This paper deals with an integrated strategy of staff capacity management and bed allocation planning to tackle these problems. Mathematically, the strategy can be modeled as an integer linear programming problem. We solve the model using a direct neighborhood search approach, based on the notion of superbasic variables.
ERIC Educational Resources Information Center
Fatah, Abdul; Suryadi, Didi; Sabandar, Jozua; Turmudi
2016-01-01
The present study aims at examining the use of open-ended approach in cultivating senior high school students' mathematical creative thinking ability (MCTA) and self-esteem (SE) in mathematics viewed from school category. The subjects of this research were the students grade XI at three schools; high, middle and low category in Kota Serang, Banten…
ERIC Educational Resources Information Center
Des Moines Public Schools, IA. Dept. of Information Management.
The Chapter 1 reading, writing, and mathematics instruction programs of the Des Moines (Iowa) public schools were evaluated for the 1993-94 school year. These programs provided supplemental instruction for about 2,968 students in 1993-94 through six components: (1) schoolwide projects; (2) the Reading Recovery Program; (3) the Reading/Writing Lab…
ERIC Educational Resources Information Center
Ellingsen, Ryleigh; Clinton, Elias
2017-01-01
This manuscript reviews the empirical literature of the TouchMath© instructional program. The TouchMath© program is a commercial mathematics series that uses a dot notation system to provide multisensory instruction of computation skills. Using the program, students are taught to solve computational tasks in a multisensory manner that does not…
ERIC Educational Resources Information Center
National Science Foundation, Arlington, VA. Directorate for Education and Human Resources.
The National Science Foundation's (NSF) Research Careers for Minority Scholars (RCMS) program was initiated to encourage individuals from underrepresented groups in science, mathematics, engineering and technology (SMET) disciplines to complete undergraduate degree programs and matriculate to SMET graduate degree programs. This report describes…
ERIC Educational Resources Information Center
Scott, George A.
2012-01-01
Science, technology, engineering, and mathematics (STEM) education programs help to enhance the nation's global competitiveness. Many federal agencies have been involved in administering these programs. Concerns have been raised about the overall effectiveness and efficiency of STEM education programs. GAO examined (1) the number of federal…
ERIC Educational Resources Information Center
Marttila, Katie L.
2017-01-01
For the realm of this study, the researcher reviewed two separate mathematics programs that have been implemented within the school district to address both the needs of the students with learning disabilities and the requirements of the local and state assessments. The mathematics programs are designed with two different methods to meet the…
Microcomputer-Assisted Mathematics: From Simple Interest to e.
ERIC Educational Resources Information Center
Kimberling, Clark
1985-01-01
The progression from simple interest to compound interest leads naturally and quickly to the number e, involving mathematical discovery learning through writing programs. Several programs are given, with suggestions for a teaching sequence. (MNS)
NASA Astrophysics Data System (ADS)
Zubainur, Cut Morina; Veloo, Arsaythamby; Khalid, Rozalina
2015-05-01
This study aims to determine the effects of the Indonesian Realistic Mathematics Education (PMRI) in Aceh primary schools, Indonesia. Although a plethora of research evidence highlights significant outcomes of the incorporation PMRI in mathematics, its use in the teaching and learning process is limited. Total of 50 standard five students from public primary school participated in this study; 25 students in the experimental group and 25 in the control group. The teaching approaches varied between the groups. While the experimental group experienced the PMRI approach, the control group encountered the conventional teaching approach of chalk and talk. Data was collected at two points namely the pre-test and post-test that lasted for five weeks. The results showed significant differences in mathematics achievement among primary students. In addition, PMRI also creates an active learning environment in solving exercises, and discussions among students and teachers. This study provides evidence that learning mathematics with PMRI benefits primary school students.
Riley, Nicholas; Lubans, David R; Holmes, Kathryn; Morgan, Philip J
2016-02-01
To evaluate the impact of a primary school-based physical activity (PA) integration program delivered by teachers on objectively measured PA and key educational outcomes. Ten classes from 8 Australian public schools were randomly allocated to treatment conditions. Teachers from the intervention group were taught to embed movement-based learning in their students' (n = 142) daily mathematics program in 3 lessons per week for 6 weeks. The control group (n = 98) continued its regular mathematics program. The primary outcome was accelerometer-determined PA across the school day. Linear mixed models were used to analyze treatment effects. Significant intervention effects were found for PA across the school day (adjusted mean difference 103 counts per minute [CPM], 95% confidence interval [CI], 36.5-169.7, P = .008). Intervention effects were also found for PA (168 CPM, 95% CI, 90.1-247.4, P = .008) and moderate-to-vigorous PA (2.6%, 95% CI, 0.9-4.4, P = .009) in mathematics lessons, sedentary time across the school day (-3.5%, 95% CI, -7.0 to -0.13, P = .044) and during mathematics (-8.2%, CI, -13.0 to -2.0, P = .010) and on-task behavior (13.8%, 95% CI, 4.0-23.6, P = .011)-but not for mathematics performance or attitude. Integrating movement across the primary mathematics syllabus is feasible and efficacious.
ERIC Educational Resources Information Center
Matzakos, Nikolaos M.; Kalogiannakis, Michail
2018-01-01
An online support distance-learning program in Mathematics was developed to aid first year engineering students for their transition from the secondary to the tertiary education in order to reinforce deficiencies they may have in mathematical knowledge. The aim of the present study is to examine, firstly, to what extent the attendance of such a…
NASA Technical Reports Server (NTRS)
Burgin, G. H.; Owens, A. J.
1975-01-01
A detailed description is presented of the computer programs in order to provide an understanding of the mathematical and geometrical relationships as implemented in the programs. The individual sbbroutines and their underlying mathematical relationships are described, and the required input data and the output provided by the program are explained. The relationship of the adaptive maneuvering logic program with the program to drive the differential maneuvering simulator is discussed.
Improving Hospital-Wide Early Resource Allocation through Machine Learning.
Gartner, Daniel; Padman, Rema
2015-01-01
The objective of this paper is to evaluate the extent to which early determination of diagnosis-related groups (DRGs) can be used for better allocation of scarce hospital resources. When elective patients seek admission, the true DRG, currently determined only at discharge, is unknown. We approach the problem of early DRG determination in three stages: (1) test how much a Naïve Bayes classifier can improve classification accuracy as compared to a hospital's current approach; (2) develop a statistical program that makes admission and scheduling decisions based on the patients' clincial pathways and scarce hospital resources; and (3) feed the DRG as classified by the Naïve Bayes classifier and the hospitals' baseline approach into the model (which we evaluate in simulation). Our results reveal that the DRG grouper performs poorly in classifying the DRG correctly before admission while the Naïve Bayes approach substantially improves the classification task. The results from the connection of the classification method with the mathematical program also reveal that resource allocation decisions can be more effective and efficient with the hybrid approach.
The Teachers Academy for Mathematics and Science. Executive summary and program activities update
DOE Office of Scientific and Technical Information (OSTI.GOV)
Not Available
1992-09-01
In his State of the Union address on January 31, 1990, President Bush set a goal for US students to be number one in the world in mathematics and science achievement by the year 2000. The Teachers Academy for Mathematics and Science in Chicago is an experiment of unprecedented boldness and scale that can provide a means to the President`s goal, both for the Chicago area and as a national model. This document covers organization and governance, program activities, future training goals, and evaluation programs.
An Evaluative Review of Simulated Dynamic Smart 3d Objects
NASA Astrophysics Data System (ADS)
Romeijn, H.; Sheth, F.; Pettit, C. J.
2012-07-01
Three-dimensional (3D) modelling of plants can be an asset for creating agricultural based visualisation products. The continuum of 3D plants models ranges from static to dynamic objects, also known as smart 3D objects. There is an increasing requirement for smarter simulated 3D objects that are attributed mathematically and/or from biological inputs. A systematic approach to plant simulation offers significant advantages to applications in agricultural research, particularly in simulating plant behaviour and the influences of external environmental factors. This approach of 3D plant object visualisation is primarily evident from the visualisation of plants using photographed billboarded images, to more advanced procedural models that come closer to simulating realistic virtual plants. However, few programs model physical reactions of plants to external factors and even fewer are able to grow plants based on mathematical and/or biological parameters. In this paper, we undertake an evaluation of plant-based object simulation programs currently available, with a focus upon the components and techniques involved in producing these objects. Through an analytical review process we consider the strengths and weaknesses of several program packages, the features and use of these programs and the possible opportunities in deploying these for creating smart 3D plant-based objects to support agricultural research and natural resource management. In creating smart 3D objects the model needs to be informed by both plant physiology and phenology. Expert knowledge will frame the parameters and procedures that will attribute the object and allow the simulation of dynamic virtual plants. Ultimately, biologically smart 3D virtual plants that react to changes within an environment could be an effective medium to visually represent landscapes and communicate land management scenarios and practices to planners and decision-makers.
Dynamic analysis for shuttle design verification
NASA Technical Reports Server (NTRS)
Fralich, R. W.; Green, C. E.; Rheinfurth, M. H.
1972-01-01
Two approaches that are used for determining the modes and frequencies of space shuttle structures are discussed. The first method, direct numerical analysis, involves finite element mathematical modeling of the space shuttle structure in order to use computer programs for dynamic structural analysis. The second method utilizes modal-coupling techniques of experimental verification made by vibrating only spacecraft components and by deducing modes and frequencies of the complete vehicle from results obtained in the component tests.
ERIC Educational Resources Information Center
NASA Educator Resource Center at Marshall Space Flight Center, 2007
2007-01-01
The Human Exploration Project (HEP) units have several common characteristics. All units: (1) Are based upon the Technological Literacy standards (ITEA, 2000/2002); (2) Coordinate with Science (AAAS, 1993) and Mathematics standards (NCTM, 2000); (3) Utilize a standards-based development approach (ITEA, 2005); (4) Stand alone and coordinate with…
Evaluating the Effectiveness of the 2000-2001 NASA "Why?" Files Program
NASA Technical Reports Server (NTRS)
Pinelli, Thomas E.; Frank, Kari Lou; Ashcroft, Scott B.; Williams, Amy C.
2002-01-01
NASA 'Why?' Files, a research and standards-based, Emmy-award winning series of 60-minute instructional programs for grades 3-5, introduces students to NASA; integrates mathematics, science, and technology by using Problem-Based Learning (PBL), scientific inquiry, and the scientific method; and motivates students to become critical thinkers and active problem solvers. All four 2000-2001 NASA 'Why?' Files programs include an instructional broadcast, a lesson guide, an interactive web site, plus numerous instructional resources. In March 2001, 1,000 randomly selected program registrants participated in a survey. Of these surveys, 185 (154 usable) met the established cut-off date. Respondents reported that (1) they used the four programs in the 2000-2001 NASA 'Why?' Files series; (2) series goals and objectives were met; (3) programs met national mathematics, science, and technology standards; (4) program content was developmentally appropriate for grade level; and (5) programs enhanced/enriched the teaching of mathematics, science, and technology.
Evaluating the Effectiveness of the 2003-2004 NASA CONNECT(trademark)Program
NASA Technical Reports Server (NTRS)
Caton, Randall H.; Pinelli, Thomas E.; Giersch, Christopher E.; Holmes, Ellen B.; Lambert, Matthew A.
2005-01-01
NASA CONNECT is an Emmy-award-winning series of instructional (distance learning) programs for grades 6-8. Produced by the NASA Center for Distance Learning, the nine programs in the 2003-2004 NASA CONNECT series are research-, inquiry-, standards-, teacher-, and technology-based and include a 30-minute program, an educator guide containing a hands-on activity, and a web-based component. The 1,500 randomly selected NASA CONNECT registered users were invited to complete an electronic (self-reported) survey that employed a 5-point Likert-type scale. Regarding NASA CONNECT, respondents reported that the programs (1) enhance the teaching of mathematics, science, and technology (4.53); (2) are aligned with the national mathematics, science, and technology standards (4.52); (3) raise student awareness of careers requiring mathematics, science, and technology (4.48); (4) demonstrate the application of mathematics, science, and technology (4.47); and (5) present women and minorities performing challenging engineering and science tasks (4.50).
The Interface between ChE and Mathematics: What Do Students Really Need?
ERIC Educational Resources Information Center
Graham, Michael D.; Ganter, Susan L.
2001-01-01
Summarizes the report given to the Committee on the Undergraduate Program in Mathematics of the Mathematical Association of America (MAA) who is developing new guidelines for instruction in mathematics with a chemical engineering group at Clemson University in order to list specific knowledge and skills in mathematics needed by engineering…
ERIC Educational Resources Information Center
McKinney, Sueanne E.; Berry, Robert Q., III; Jackson, Joan M.
2007-01-01
The National Council of Teachers of Mathematics articulates an ambitious vision of a high-quality mathematics program. Achieving this vision requires competent and knowledgeable teachers who can support all students in learning mathematics concepts with understanding. Effective mathematics teachers are especially needed for high-poverty schools…
Computer Mathematics: An Introduction. Part II.
ERIC Educational Resources Information Center
New York City Board of Education, Brooklyn, NY. Div. of Curriculum and Instruction.
This document describes a mathematics course that uses the computer to solve mathematics problems. It was developed to be used with students who have completed at least one year of general mathematics or are not achieving success in the traditional mathematics program. The course is intended to review, reinforce, and extend concepts included in…
Case Studies of the Urban Mathematics Collaborative Project: Program Report 91-3.
ERIC Educational Resources Information Center
Popkewitz, Thomas S.; Myrdal, Sigurjon
The Urban Mathematics Collaborative (UMC) project has the goal of contributing to the improvement of mathematics education in the inner-city schools by identifying models to enhance the professional lives of teachers and encouraging the entry of high school mathematics teachers into a larger mathematics community including mathematicians from…
Studies in Mathematics Education, Volume 3. The Mathematical Education of Primary-School Teachers.
ERIC Educational Resources Information Center
Morris, Robert, Ed.
Recognizing that the teacher is the key to improving any mathematics program, this volume examines the responsibility of primary school teachers for the mathematics component of the curriculum and the implications thereof for teacher education. The first two chapters focus on the responsibilities of teachers of primary mathematics and contemporary…
ERIC Educational Resources Information Center
Hilby, Alyssa C.; Stripling, Christopher T.; Stephens, Carrie A.
2014-01-01
STEM disciplines will continue to impact school-based agricultural education programs; thus, in order to produce secondary students proficient in science and mathematics, developing preservice agricultural education teachers who are competent in mathematics and teaching mathematics is essential. This study utilized data collected through a focus…
ERIC Educational Resources Information Center
Buchheister, Kelley; Jackson, Christa; Taylor, Cynthia E.
2014-01-01
Traditionally, teacher education programs have placed little emphasis on preparing mathematics teachers to work with students who struggle in mathematics. Therefore, it is crucial that mathematics teacher educators explicitly prepare prospective teachers to instruct students who struggle with mathematics by providing strategies and practices that…
Investigations in Pure Mathematics: A Constructivist Perspective.
ERIC Educational Resources Information Center
Hirst, Keith; Shiu, Christine
1995-01-01
Discusses an investigative, constructivist approach in the context of undergraduate mathematics, with particular reference to pure mathematics, general aims and objectives, assessment strategies, and problems of supervision that affect tutors and lecturers using this approach. Gives students' views on their experiences in this mode of working. (19…
Computers and Hot Potatoes: Starch for Teacher Preparation Diets.
ERIC Educational Resources Information Center
Johnson, Jerry
1984-01-01
Computers present a problem for mathematics teachers that may be solved through teacher education programs. Classroom teachers should be competent in programing languages, exploring software, and understanding the emphasis of computers in the mathematics curriculum. (DF)
A Mathematical Sciences Program at an Upper-Division Campus.
ERIC Educational Resources Information Center
Swetz, Frank J.
1978-01-01
The conception, objectives, contents, and limitations of a degree program in the mathematical sciences at Pennsylvania State University, Capitol Campus, are discussed. Career goals that may be pursued include: managerial, science, education, actuarial, and computer. (MP)
Developing Mathematical Processes (DMP). Field Test Evaluation, 1973-1974.
ERIC Educational Resources Information Center
Schall, William; And Others
The Developing Mathematical Processes (DMP) program was field-tested in the kindergarten and first three grades of one parochial and five public schools. DMP is an activity-based program developed around a comprehensive list of behavioral objectives. The program is concerned with the development of intuitive geometric concepts as well as…
From Recreational Mathematics to Recreational Programming, and Back
ERIC Educational Resources Information Center
Ruiz Jimenez, B. C.; Ruiz Munoz, M.
2011-01-01
Recreational Programming (RecPro) is the discipline that encourages the study of computer programming through ludic problems. Problems that are typically studied within this discipline are similar to those of Recreational Mathematics (RecMat), which sometimes leads to the confusion of these two disciplines. The objective for RecPro is to write…
ERIC Educational Resources Information Center
Weiland, Christina; Yoshikawa, Hirokazu
2013-01-01
Publicly funded prekindergarten programs have achieved small-to-large impacts on children's cognitive outcomes. The current study examined the impact of a prekindergarten program that implemented a coaching system and consistent literacy, language, and mathematics curricula on these and other nontargeted, essential components of school readiness,…
TTIP Texas Teacher Internship Program: 1996 Curriculum Implementation Plans.
ERIC Educational Resources Information Center
Walenta, Brian T., Ed.
In 1989, the Texas Alliance for Science, Technology, and Mathematics Education began placing teachers at industry sites as part of its Texas Teacher Internship Program (TTIP). TTIP is a competitive program for science, technology, and mathematics teachers who serve as summer interns at industry and university sites in order to experience…
An Assessment of Research-Doctorate Programs in the United States: Mathematical & Physical Sciences.
ERIC Educational Resources Information Center
Jones, Lyle V., Ed.; And Others
The quality of doctoral-level chemistry (N=145), computer science (N=58), geoscience (N=91), mathematics (N=115), physics (N=123), and statistics/biostatistics (N=64) programs at United States universities was assessed, using 16 measures. These measures focused on variables related to: program size; characteristics of graduates; reputational…
The George Engelmann Mathematics & Science Institute. Scholar Research Program Annual Report 1993.
ERIC Educational Resources Information Center
Missouri Univ., St. Louis. George Englemann Mathematics & Science Inst.
This publication is a comprehensive report on the George Engelmann Mathematics and Science Institute's Scholar Research Program (SRP) and its activities in 1993. The SRP provides high school students who have successfully completed an earlier Engelmann program the opportunity to experience and practice the active components of the scientific…
ERIC Educational Resources Information Center
Paolucci, Catherine; Jennings, Kevin
2017-01-01
This article discusses the relationship between policy, research, and program development in mathematics teacher education. In particular, it considers the influences of policy and research along with social, economic, and cultural factors in the conceptualization and development of an undergraduate mathematics teacher education program in…
ERIC Educational Resources Information Center
Jimenez Lozano, Blanca; And Others
This document is an English-language abstract (approximately 1500 words) of a new approach to the teaching of mathematics in Mexican elementary schools. Three aspects of mathematical reform are discussed: (1) syllabus content; (2) teaching methods; and (3) the question of introducing the pupil to modern mathematics at the earliest possible stage…
Bishop, Pamela; Lenhart, Suzanne
2010-01-01
We describe a unique Research Experience for Undergraduates and Research Experience for Veterinary students summer program at the National Institute for Mathematical and Biological Synthesis on the campus of the University of Tennessee, Knoxville. The program focused on interdisciplinary research at the interface of biology and mathematics. Participants were selected to work on projects with a biology mentor and a mathematics mentor in an environment that promoted collaboration outside of the students' respective disciplines. There were four research projects with teams of four participants and two faculty mentors. The participants consisted of a mixture of 10 undergraduates in biology- and mathematics-related disciplines, four veterinary students, and two high-school teachers. The activities included lectures on both the biological and mathematical backgrounds of the projects, tutorials for software, and sessions on ethics, graduate school, and possible career paths for individuals interested in biology and mathematics. The program was designed to give students the ability to actively participate in the scientific research process by working on a project, writing up their results in a final report, and presenting their work orally. We report on the results of our evaluation surveys of the participants. PMID:20810963
Duncan, Sarah I; Bishop, Pamela; Lenhart, Suzanne
2010-01-01
We describe a unique Research Experience for Undergraduates and Research Experience for Veterinary students summer program at the National Institute for Mathematical and Biological Synthesis on the campus of the University of Tennessee, Knoxville. The program focused on interdisciplinary research at the interface of biology and mathematics. Participants were selected to work on projects with a biology mentor and a mathematics mentor in an environment that promoted collaboration outside of the students' respective disciplines. There were four research projects with teams of four participants and two faculty mentors. The participants consisted of a mixture of 10 undergraduates in biology- and mathematics-related disciplines, four veterinary students, and two high-school teachers. The activities included lectures on both the biological and mathematical backgrounds of the projects, tutorials for software, and sessions on ethics, graduate school, and possible career paths for individuals interested in biology and mathematics. The program was designed to give students the ability to actively participate in the scientific research process by working on a project, writing up their results in a final report, and presenting their work orally. We report on the results of our evaluation surveys of the participants.
ERIC Educational Resources Information Center
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…
Can Television Enhance Children's Mathematical Problem Solving?
ERIC Educational Resources Information Center
Fisch, Shalom M.; And Others
1994-01-01
A summative evaluation of "Square One TV," an educational mathematics series produced by the Children's Television Workshop, shows that children who regularly viewed the program showed significant improvement in solving unfamiliar, complex mathematical problems, and viewers showed improvement in their mathematical problem-solving ability…
Applying Lakatos' Theory to the Theory of Mathematical Problem Solving.
ERIC Educational Resources Information Center
Nunokawa, Kazuhiko
1996-01-01
The relation between Lakatos' theory and issues in mathematics education, especially mathematical problem solving, is investigated by examining Lakatos' methodology of a scientific research program. (AIM)
ERIC Educational Resources Information Center
Mizer, Robert; And Others
This document contains 29 programs and/or material listings that were nominated by at least three persons and for which there was evidence of the quality of the program or materials. Reviewers looked for positive evaluation data on the impact of the materials on students, or other information that assessed the quality of the program or materials,…
A Computer Based Education (CBE) Program for Middle School Mathematics Intervention
ERIC Educational Resources Information Center
Gulley, Bill
2009-01-01
A Computer Based Education (CBE) program for intervention mathematics was developed, used, and modified over a period of three years in a computer lab at an Arizona Title I middle school. The program is described along with a rationale for the need, design, and use of such a program. Data was collected in the third year and results of the program…
Teaching by Open-Approach Method in Japanese Mathematics Classroom.
ERIC Educational Resources Information Center
Nohda, Nobuhiko
Mathematics educators in Japan have traditionally emphasized mathematical perspectives in research and practice. This paper features an account of changes in mathematics education in Japan that focus on the possibilities of individual students as well as their mathematical ways of thinking. Students' mathematical thinking, mathematical…
Preservice Mathematics Teachers' Conceptions of and Approaches to Learning: A Phenomenographic Study
ERIC Educational Resources Information Center
Erdogan, Ahmet
2012-01-01
Knowing the preservice mathematics teachers' conceptions of learning is one of the key factors of taking significant educational measures regarding the future. The purpose of this study was to investigate preservice mathematics teachers' conceptions of and approaches to learning. The phenomenographic qualitative research method was used to…
Influences of Teaching Approaches and Class Size on Undergraduate Mathematical Learning
ERIC Educational Resources Information Center
Olson, Jo Clay; Cooper, Sandy; Lougheed, Tom
2011-01-01
An issue for many mathematics departments is the success rate of precalculus students. In an effort to increase the success rate, this quantitative study investigated how class size and teaching approach influenced student achievement and students' attitudes towards learning mathematics. Students' achievement and their attitudes toward learning…
Psychological Aspects of Genetic Approach to Teaching Mathematics
ERIC Educational Resources Information Center
Safuanov, Ildar S.
2004-01-01
In this theoretical essay the psychological aspects of genetic approach to teaching mathematics (mainly at universities) are discussed. Analysis of the history and modern state of genetic teaching shows that its psychological aspects may be explained using both Vygotskian and Piagetian frameworks. Experience of practice of mathematical education…
Students' Investigation of a View Tube
ERIC Educational Resources Information Center
Obara, Samuel
2010-01-01
The inquiry-based approach to learning has gained popularity in recent times. Those who promote this approach maintain that mathematical investigation should be used to engage students. The National Council of Teachers of Mathematics (NCTM) recommends that problem solving be the center of mathematics teaching in promoting student learning through…
On the interplay between mathematics and biology: hallmarks toward a new systems biology.
Bellomo, Nicola; Elaiw, Ahmed; Althiabi, Abdullah M; Alghamdi, Mohammed Ali
2015-03-01
This paper proposes a critical analysis of the existing literature on mathematical tools developed toward systems biology approaches and, out of this overview, develops a new approach whose main features can be briefly summarized as follows: derivation of mathematical structures suitable to capture the complexity of biological, hence living, systems, modeling, by appropriate mathematical tools, Darwinian type dynamics, namely mutations followed by selection and evolution. Moreover, multiscale methods to move from genes to cells, and from cells to tissue are analyzed in view of a new systems biology approach. Copyright © 2014 Elsevier B.V. All rights reserved.
ERIC Educational Resources Information Center
Evans, Brian R.
2010-01-01
The purpose of this study was to understand the relationships between mathematical content knowledge, perceptions of teaching self-efficacy, and attitudes toward mathematics in one cohort of Teach for America teachers who took the New York State Content Special Test in mathematics at the start of their program, and a mathematics attitude…
Shahriari, Mohammadali; Biglarbegian, Mohammad
2018-01-01
This paper presents a new conflict resolution methodology for multiple mobile robots while ensuring their motion-liveness, especially for cluttered and dynamic environments. Our method constructs a mathematical formulation in a form of an optimization problem by minimizing the overall travel times of the robots subject to resolving all the conflicts in their motion. This optimization problem can be easily solved through coordinating only the robots' speeds. To overcome the computational cost in executing the algorithm for very cluttered environments, we develop an innovative method through clustering the environment into independent subproblems that can be solved using parallel programming techniques. We demonstrate the scalability of our approach through performing extensive simulations. Simulation results showed that our proposed method is capable of resolving the conflicts of 100 robots in less than 1.23 s in a cluttered environment that has 4357 intersections in the paths of the robots. We also developed an experimental testbed and demonstrated that our approach can be implemented in real time. We finally compared our approach with other existing methods in the literature both quantitatively and qualitatively. This comparison shows while our approach is mathematically sound, it is more computationally efficient, scalable for very large number of robots, and guarantees the live and smooth motion of robots.
ERIC Educational Resources Information Center
Allen, Charles
2017-01-01
Informed by Gagne's belief in the necessity of prerequisite knowledge for new learning, and Bruner's Spiral Curriculum Theory, the objective of this case study was to explore the postsecondary pathway from remedial mathematics, through one gateway mathematics course, and into the quantitative literacy requirements of various non-STEM programs of…
2012-11-01
and Mathematics (STEM) programs that duplicate the work of the Department of Education and local school districts ($10.7 billion). The Department of...of science, technology, engineering, and mathematics (STEM).16 The Pentagon recently joined the cooking show craze by partnering with the...of DOD Science, Technology, Engineering, and Mathematics (STEM) Programs,” 2010. 17 The Pentagon Channel, “The Grill Sergeants,” http
ERIC Educational Resources Information Center
Berlin, Donna F.; White, Arthur L.
2010-01-01
The purpose of this article is twofold: (a) to describe a unique teacher licensure program for grades 7-12 that integrates mathematics, science, and technology education and (b) to explore the attitudes and perceptions related to the integration of mathematics, science, and technology education of three cohorts of preservice teachers enrolled in…
Evaluating the Effectiveness of the 2001-2002 NASA "Why?" Files Program
NASA Technical Reports Server (NTRS)
Pinelli, Thomas E.; Frank, Kari Lou; Lambert, Matthew A.
2002-01-01
This report contains the results of the evaluation conducted for the 2001-2002 NASA 'Why?' Files program that was conducted in March 2002. The analysis is based on the results of 139 surveys collected from educators registered for the program. Respondents indicated that (1) the programs in the series are aligned with the national mathematics, science, and technology standards; (2) the programs are developmentally (grade level) appropriate; and (3) the programs enhance and enrich the teaching and learning of mathematics, science, and technology.
Computer programs: Operational and mathematical, a compilation
NASA Technical Reports Server (NTRS)
1973-01-01
Several computer programs which are available through the NASA Technology Utilization Program are outlined. Presented are: (1) Computer operational programs which can be applied to resolve procedural problems swiftly and accurately. (2) Mathematical applications for the resolution of problems encountered in numerous industries. Although the functions which these programs perform are not new and similar programs are available in many large computer center libraries, this collection may be of use to centers with limited systems libraries and for instructional purposes for new computer operators.
Approaches to highly parameterized inversion-A guide to using PEST for groundwater-model calibration
Doherty, John E.; Hunt, Randall J.
2010-01-01
Highly parameterized groundwater models can create calibration difficulties. Regularized inversion-the combined use of large numbers of parameters with mathematical approaches for stable parameter estimation-is becoming a common approach to address these difficulties and enhance the transfer of information contained in field measurements to parameters used to model that system. Though commonly used in other industries, regularized inversion is somewhat imperfectly understood in the groundwater field. There is concern that this unfamiliarity can lead to underuse, and misuse, of the methodology. This document is constructed to facilitate the appropriate use of regularized inversion for calibrating highly parameterized groundwater models. The presentation is directed at an intermediate- to advanced-level modeler, and it focuses on the PEST software suite-a frequently used tool for highly parameterized model calibration and one that is widely supported by commercial graphical user interfaces. A brief overview of the regularized inversion approach is provided, and techniques for mathematical regularization offered by PEST are outlined, including Tikhonov, subspace, and hybrid schemes. Guidelines for applying regularized inversion techniques are presented after a logical progression of steps for building suitable PEST input. The discussion starts with use of pilot points as a parameterization device and processing/grouping observations to form multicomponent objective functions. A description of potential parameter solution methodologies and resources available through the PEST software and its supporting utility programs follows. Directing the parameter-estimation process through PEST control variables is then discussed, including guidance for monitoring and optimizing the performance of PEST. Comprehensive listings of PEST control variables, and of the roles performed by PEST utility support programs, are presented in the appendixes.
Verifying a Computer Algorithm Mathematically.
ERIC Educational Resources Information Center
Olson, Alton T.
1986-01-01
Presents an example of mathematics from an algorithmic point of view, with emphasis on the design and verification of this algorithm. The program involves finding roots for algebraic equations using the half-interval search algorithm. The program listing is included. (JN)
Climate Science Program at California State University, Northridge
NASA Astrophysics Data System (ADS)
Steele Cox, H.; Klein, D.; Cadavid, A. C.; Foley, B.
2012-12-01
Due to its interdisciplinary nature, climate science poses wide-ranging challenges for science and mathematics students seeking careers in this field. There is a compelling need for universities to provide coherent programs in climate science in order to train future climate scientists. With funding from NASA Innovations in Climate Education (NICE), California State University, Northridge (CSUN), is creating the CSUN Climate Science Program. An interdisciplinary team of faculty members is working in collaboration with UCLA, Santa Monica College and NASA/JPL partners to create a new curriculum in climate science. The resulting sequence of climate science courses, or Pathway for studying the Mathematics of Climate Change (PMCC), is integrated into a Bachelor of Science degree program in the Applied Mathematical Sciences offered by the Mathematics Department at CSUN. The PMCC consists of courses offered by the departments of Mathematics, Physics, and Geography and is designed to prepare students for Ph.D. programs in technical fields relevant to global climate change and related careers. The students who choose to follow this program will be guided to enroll in the following sequence of courses for their 12 units of upper division electives: 1) A newly created course junior level course, Math 396CL, in applied mathematics which will introduce students to applications of vector calculus and differential equations to the study of thermodynamics and atmospheric dynamics. 2) An already existing course, Math 483, with new content on mathematical modeling specialized for this program; 3) An improved version of Phys 595CL on the mathematics and physics of climate change with emphasis on Radiative Transfer; 4) A choice of Geog 407 on Remote Sensing or Geog 416 on Climate Change with updated content to train the students in the analysis of satellite data obtained with the NASA Earth Observing System and instruction in the analysis of data obtained within a Geographical Information System (GIS). In addition the Geography department will similarly update the corresponding graduate courses on Remote Sensing, Geog 690D, and Climate Change Geog 620F, and there will be a reciprocal curriculum and data sharing collaboration with the Earth and Environmental Sciences program at Santa Monica College. Throughout the academic year a seminar series offers the students the opportunity to learn about ongoing work on Atmospheric Sciences and Climate and during the summer they have access to research experiences at NASA's Jet Propulsion Laboratory.
An Introductory Research Experience in Mathematics for Undergraduates
ERIC Educational Resources Information Center
Johnston, William W.; Webster, Jonathan E.; Wilson, Christopher James
2017-01-01
This paper offers a strategic initiative designed to boost the level of collaborative mathematical research involving undergraduate mathematics students at Butler University. It describes goals, program design, logistics, and outcomes for an 8-day intensive summer experience in which undergraduate mathematics majors engaged in original…
Improving Mathematics Instruction Using Technology: A Vygotskian Perspective.
ERIC Educational Resources Information Center
Harvey, Francis A.; Charnitski, Christina Wotell
Strategies and programs for improving mathematics instruction should be derived from sound educational theory. The sociocultural learning theories of Vygotsky may offer guidance in developing technology-based mathematics curriculum materials consonant with the NCTM (National Council of Teachers of Mathematics) goals and objectives. Vygotsky's…
Preservice Agricultural Education Teachers' Mathematics Ability
ERIC Educational Resources Information Center
Stripling, Christopher T.; Roberts, T. Grady
2012-01-01
The purpose of this study was to examine the mathematics ability of the nation's preservice agricultural education teachers. Based on the results of this study, preservice teachers were not proficient in solving agricultural mathematics problems, and agricultural teacher education programs require basic and intermediate mathematics as their…
ERIC Educational Resources Information Center
Toumasis, Charalampos
2004-01-01
Emphasis on problem solving and mathematical modeling has gained considerable attention in the last few years. Connecting mathematics to other subjects and to the real world outside the classroom has received increased attention in mathematics programs. This article describes an application of simple differential equations in the field of…
NLINEAR - NONLINEAR CURVE FITTING PROGRAM
NASA Technical Reports Server (NTRS)
Everhart, J. L.
1994-01-01
A common method for fitting data is a least-squares fit. In the least-squares method, a user-specified fitting function is utilized in such a way as to minimize the sum of the squares of distances between the data points and the fitting curve. The Nonlinear Curve Fitting Program, NLINEAR, is an interactive curve fitting routine based on a description of the quadratic expansion of the chi-squared statistic. NLINEAR utilizes a nonlinear optimization algorithm that calculates the best statistically weighted values of the parameters of the fitting function and the chi-square that is to be minimized. The inputs to the program are the mathematical form of the fitting function and the initial values of the parameters to be estimated. This approach provides the user with statistical information such as goodness of fit and estimated values of parameters that produce the highest degree of correlation between the experimental data and the mathematical model. In the mathematical formulation of the algorithm, the Taylor expansion of chi-square is first introduced, and justification for retaining only the first term are presented. From the expansion, a set of n simultaneous linear equations are derived, which are solved by matrix algebra. To achieve convergence, the algorithm requires meaningful initial estimates for the parameters of the fitting function. NLINEAR is written in Fortran 77 for execution on a CDC Cyber 750 under NOS 2.3. It has a central memory requirement of 5K 60 bit words. Optionally, graphical output of the fitting function can be plotted. Tektronix PLOT-10 routines are required for graphics. NLINEAR was developed in 1987.
The initial response of secondary mathematics teachers to a one-to-one laptop program
NASA Astrophysics Data System (ADS)
Zuber, Edward Nordin; Anderson, Judy
2013-06-01
Studies of one-to-one programs consistently report lower use of laptops in mathematics classrooms compared to other subjects but do not elaborate reasons for these observations. This mixed-method study investigated the experiences and beliefs of 28 mathematics teachers at five secondary schools during the second year of the New South Wales Digital Education Revolution laptop program. While some mathematics teachers planned for students to use their laptops up to once a week, most reported less frequent use in the classroom. Teachers were grouped into categories "Non Adopters," "Cautious Adopters," and "Early Adopters" according to reported classroom use of laptops, then analysed for differences in confidence, knowledge, and beliefs relating to technology for teaching and learning mathematics. A prevalent belief limiting laptop use is that students authentically learn mathematics only using pen and paper. Cautious Adopters and Non Adopters expressed beliefs that laptops exacerbate classroom management problems, especially for lower-achieving students. In the context of ability-streamed classes these beliefs effectively ruled out use of laptops for entire classrooms.
Drew, Jennifer C.; Galindo-Gonzalez, Sebastian; Ardissone, Alexandria N.; Triplett, Eric W.
2016-01-01
The Microbiology and Cell Science (MCS) Department at the University of Florida (UF) developed a new model of a 2 + 2 program that uses a hybrid online approach to bring its science, technology, engineering, and mathematics (STEM) curriculum to students. In this paradigm, 2-year graduates transfer as online students into the Distance Education in MCS (DE MCS) bachelor of science program. The program has broadened access to STEM with a steadily increasing enrollment that does not draw students away from existing on-campus programs. Notably, half of the DE MCS students are from underrepresented minority (URM) backgrounds and two-thirds are women, which represents a greater level of diversity than the corresponding on-campus cohort and the entire university. Additionally, the DE MCS cohort has comparable retention and academic performance compared with the on-campus transfer cohort. Of those who have earned a BS through the DE MCS program, 71% are women and 61% are URM. Overall, these data demonstrate that the hybrid online approach is successful in increasing diversity and provides another viable route in the myriad of STEM pathways. As the first of its kind in a STEM field, the DE MCS program serves as a model for programs seeking to broaden their reach. PMID:27587859
ERIC Educational Resources Information Center
Westenskow, Arla; Boyer-Thurgood, Jennifer; Moyer-Packenham, Patricia S.
2015-01-01
This research study examined the perceptions of 24 parents of rising 5th-grade students with mathematics learning difficulties as part of a 10-week summer mathematics tutoring experience. During the summer tutoring program, parents observed their children participating in mathematics learning experiences during one-to-one tutoring sessions. At the…
ERIC Educational Resources Information Center
Grizzle-Martin, Tamieka
2014-01-01
Children who struggle in mathematics may also lack cognitive awareness in mathematical problem solving. The cognitively-driven program IMPROVE, a multidimensional method for teaching mathematics, has been shown to be helpful for students with mathematical learning difficulties (MLD). Guided by cognitive theory, the purpose of this…