Mathematical programming formulations for satellite synthesis
NASA Technical Reports Server (NTRS)
Bhasin, Puneet; Reilly, Charles H.
1987-01-01
The problem of satellite synthesis can be described as optimally allotting locations and sometimes frequencies and polarizations, to communication satellites so that interference from unwanted satellite signals does not exceed a specified threshold. In this report, mathematical programming models and optimization methods are used to solve satellite synthesis problems. A nonlinear programming formulation which is solved using Zoutendijk's method and a gradient search method is described. Nine mixed integer programming models are considered. Results of computer runs with these nine models and five geographically compatible scenarios are presented and evaluated. A heuristic solution procedure is also used to solve two of the models studied. Heuristic solutions to three large synthesis problems are presented. The results of our analysis show that the heuristic performs very well, both in terms of solution quality and solution time, on the two models to which it was applied. It is concluded that the heuristic procedure is the best of the methods considered for solving satellite synthesis problems.
Aeroelastic analysis for propellers - mathematical formulations and program user's manual
NASA Technical Reports Server (NTRS)
Bielawa, R. L.; Johnson, S. A.; Chi, R. M.; Gangwani, S. T.
1983-01-01
Mathematical development is presented for a specialized propeller dedicated version of the G400 rotor aeroelastic analysis. The G400PROP analysis simulates aeroelastic characteristics particular to propellers such as structural sweep, aerodynamic sweep and high subsonic unsteady airloads (both stalled and unstalled). Formulations are presented for these expanded propeller related methodologies. Results of limited application of the analysis to realistic blade configurations and operating conditions which include stable and unstable stall flutter test conditions are given. Sections included for enhanced program user efficiency and expanded utilization include descriptions of: (1) the structuring of the G400PROP FORTRAN coding; (2) the required input data; and (3) the output results. General information to facilitate operation and improve efficiency is also provided.
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.
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.
NASA Technical Reports Server (NTRS)
Aggarwal, Arun K.
1993-01-01
Spherical roller bearings have typically been used in applications with speeds limited to about 5000 rpm and loads limited for operation at less than about 0.25 million DN. However, spherical roller bearings are now being designed for high load and high speed applications including aerospace applications. A computer program, SASHBEAN, was developed to provide an analytical tool to design, analyze, and predict the performance of high speed, single row, angular contact (including zero contact angle), spherical roller bearings. The material presented is the mathematical formulation and analytical methods used to develop computer program SASHBEAN. For a given set of operating conditions, the program calculates the bearings ring deflections (axial and radial), roller deflections, contact areas stresses, depth and magnitude of maximum shear stresses, axial thrust, rolling element and cage rotational speeds, lubrication parameters, fatigue lives, and rates of heat generation. Centrifugal forces and gyroscopic moments are fully considered. The program is also capable of performing steady-state and time-transient thermal analyses of the bearing system.
NASA Astrophysics Data System (ADS)
Jung-Woon Yoo, John
2016-06-01
Since customer preferences change rapidly, there is a need for design processes with shorter product development cycles. Modularization plays a key role in achieving mass customization, which is crucial in today's competitive global market environments. Standardized interfaces among modularized parts have facilitated computational product design. To incorporate product size and weight constraints during computational design procedures, a mixed integer programming formulation is presented in this article. Product size and weight are two of the most important design parameters, as evidenced by recent smart-phone products. This article focuses on the integration of geometric, weight and interface constraints into the proposed mathematical formulation. The formulation generates the optimal selection of components for a target product, which satisfies geometric, weight and interface constraints. The formulation is verified through a case study and experiments are performed to demonstrate the performance of the formulation.
Micosoft Excel Sensitivity Analysis for Linear and Stochastic Program Feed Formulation
Technology Transfer Automated Retrieval System (TEKTRAN)
Sensitivity analysis is a part of mathematical programming solutions and is used in making nutritional and economic decisions for a given feed formulation problem. The terms, shadow price and reduced cost, are familiar linear program (LP) terms to feed formulators. Because of the nonlinear nature of...
Meaning and Process in Mathematics and Programming.
ERIC Educational Resources Information Center
Grogono, Peter
1989-01-01
Trends in computer programing language design are described and children's difficulties in learning to write programs for mathematics problems are considered. Languages are compared under the headings of imperative programing, functional programing, logic programing, and pictures. (DC)
ERIC Educational Resources Information Center
Patkin, Dorit; Gazit, Avikam
2011-01-01
This article aims to present the findings of a research which investigated the effect of a difference in word formulation and mathematical characteristics of story problems on their successful solution by preservice mathematics teachers (students) and practising mathematics teachers. The findings show that in the case of a problem with a…
Mathematical Programming Models in Educational Planning.
ERIC Educational Resources Information Center
McNamara, James F.
This document begins by defining and discussing educational planning. A brief overview of mathematical programing with an explanation of the general linear programing model is then provided. Some recent applications of mathematical programing techniques to educational planning problems are reviewed, and their implications for educational research…
Mathematics and Molecules: Exploring Connections via Programming.
ERIC Educational Resources Information Center
Ploger, Don; Carlock, Margaret
1996-01-01
Examines the self-directed activity of two students who learned about molecular structure by writing computer programs. The programs displayed the solution of a mathematics problem, then the programs were extended to represent several classes of organic molecules. Different ways to enhance mathematical connections to chemistry education are…
Mathematics Program Evaluation Grades K-12.
ERIC Educational Resources Information Center
Armstrong, Raymond; Drake, Thomas; Cunningham, Judith; Arevalo, Cheryl L.
This paper evaluates the mathematics program of the Des Moines (Iowa) Independent Community School district. The mathematics curricula in the Des Moines schools is in a state of transition to meet national standards in mathematics. The national standards are completely in agreement with the district's mission statement, which is to provide a…
Structural design using equilibrium programming formulations
NASA Technical Reports Server (NTRS)
Scotti, Stephen J.
1995-01-01
Solutions to increasingly larger structural optimization problems are desired. However, computational resources are strained to meet this need. New methods will be required to solve increasingly larger problems. The present approaches to solving large-scale problems involve approximations for the constraints of structural optimization problems and/or decomposition of the problem into multiple subproblems that can be solved in parallel. An area of game theory, equilibrium programming (also known as noncooperative game theory), can be used to unify these existing approaches from a theoretical point of view (considering the existence and optimality of solutions), and be used as a framework for the development of new methods for solving large-scale optimization problems. Equilibrium programming theory is described, and existing design techniques such as fully stressed design and constraint approximations are shown to fit within its framework. Two new structural design formulations are also derived. The first new formulation is another approximation technique which is a general updating scheme for the sensitivity derivatives of design constraints. The second new formulation uses a substructure-based decomposition of the structure for analysis and sensitivity calculations. Significant computational benefits of the new formulations compared with a conventional method are demonstrated.
Mathematical Formulation Requirements and Specifications for the Process Models
Steefel, C.; Moulton, D.; Pau, G.; Lipnikov, K.; Meza, J.; Lichtner, P.; Wolery, T.; Bacon, D.; Spycher, N.; Bell, J.; Moridis, G.; Yabusaki, S.; Sonnenthal, E.; Zyvoloski, G.; Andre, B.; Zheng, L.; Davis, J.
2010-11-01
The Advanced Simulation Capability for Environmental Management (ASCEM) is intended to be a state-of-the-art scientific tool and approach for understanding and predicting contaminant fate and transport in natural and engineered systems. The ASCEM program is aimed at addressing critical EM program needs to better understand and quantify flow and contaminant transport behavior in complex geological systems. It will also address the long-term performance of engineered components including cementitious materials in nuclear waste disposal facilities, in order to reduce uncertainties and risks associated with DOE EM's environmental cleanup and closure activities. Building upon national capabilities developed from decades of Research and Development in subsurface geosciences, computational and computer science, modeling and applied mathematics, and environmental remediation, the ASCEM initiative will develop an integrated, open-source, high-performance computer modeling system for multiphase, multicomponent, multiscale subsurface flow and contaminant transport. This integrated modeling system will incorporate capabilities for predicting releases from various waste forms, identifying exposure pathways and performing dose calculations, and conducting systematic uncertainty quantification. The ASCEM approach will be demonstrated on selected sites, and then applied to support the next generation of performance assessments of nuclear waste disposal and facility decommissioning across the EM complex. The Multi-Process High Performance Computing (HPC) Simulator is one of three thrust areas in ASCEM. The other two are the Platform and Integrated Toolsets (dubbed the Platform) and Site Applications. The primary objective of the HPC Simulator is to provide a flexible and extensible computational engine to simulate the coupled processes and flow scenarios described by the conceptual models developed using the ASCEM Platform. The graded and iterative approach to assessments naturally
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.…
Deaf Prep Program: Mathematics Curriculum.
ERIC Educational Resources Information Center
George, Paula
This remedial mathematics curriculum for deaf community college students is organized into 22 lessons grouped into three levels: whole numbers, fractions, and decimals. Preliminary versions of the curriculum have been used in Deaf Prep classrooms and taken through a development and revision process. Each lesson follows the same pattern: topic…
From recreational mathematics to recreational programming, and back
NASA Astrophysics Data System (ADS)
Ruiz Jiménez, B. C.; Ruiz Muñoz, M.
2011-09-01
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 programs, while RecMat practitioners can use these programs to state (and prove if possible) conjectures about the solution. This interaction leads to a mathematical quality production. In an educational framework, problems in elemental number theory (those that are formulated with a basic knowledge of arithmetic) are very interesting, leading to the revision of classical unsolved problems. One of these problems is the general form of Zumkeller numbers (those natural numbers as such that their positive divisors can be divided into two disjoint sets with an equal sum). Writing programs by using a programming language that is close to mathematical notation (e.g. Haskell) is the first step to solving the problem, since it is possible to easily write simple and elegant programs so close to the description of the problem that proving their correctness is straightforward.
Mathematical computer programs: A compilation
NASA Technical Reports Server (NTRS)
1972-01-01
Computer programs, routines, and subroutines for aiding engineers, scientists, and mathematicians in direct problem solving are presented. Also included is a group of items that affords the same users greater flexibility in the use of software.
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.
Programming Languages, Natural Languages, and Mathematics
ERIC Educational Resources Information Center
Naur, Peter
1975-01-01
Analogies are drawn between the social aspects of programming and similar aspects of mathematics and natural languages. By analogy with the history of auxiliary languages it is suggested that Fortran and Cobol will remain dominant. (Available from the Association of Computing Machinery, 1133 Avenue of the Americas, New York, NY 10036.) (Author/TL)
An Educational Program of Mathematical Creativity
ERIC Educational Resources Information Center
Petrovici, Constantin; Havârneanu, Geanina
2015-01-01
In this article we intend to analyze the effectiveness of an educational program of mathematical creativity, designed for learners aged 10 to 12 years, which has been implemented in an urban school of Iasi, Romania. This analysis has both a psycho-educational dimension and a statistical analysis one. The psycho-educational dimension refers to the…
Micronesian Mathematics Program, Level 1, Children's Workbook.
ERIC Educational Resources Information Center
Gring, Carolyn
This workbook for children was prepared especially to accompany the level 1 Micronesian Mathematics Program Teacher's Guide. It is to be used to check whether children have learned concepts taught by activities and activity cards. Work is provided for such concepts as color recognition, categorizing, counting, ordering, numeration, contrasting,…
Mathematical formulation of biomechanical parameters used in orthodontic treatment
NASA Astrophysics Data System (ADS)
Balakrishna, A.; Vamsi, Ch. Raghu; Rao, V. D. Prasad; Swamy, Ch. Kishore; Kuladeep, B.
2015-05-01
Orthodontic Treatment is being widely practiced around the world for teeth straightening and extraction to improve alignment of remaining teeth. Here, forces are applied to correct the position of teeth. The force applied on the teeth isn't calibrated and applied arbitrarily based on the recommendations from scientific research and experience of the orthodontist. The number of settings and the total time required for the completion of treatment also remains arbitrary. So, there is a need for determining the force which is actually acting on the teeth and determining the optimal force required for the treatment of each and every individual case. In this paper a mathematical relation is derived between the force applied on the tooth and tooth displacement by considering a 2nd order non-homogeneous linear differential equation. As the tooth displacement is not a direct function of force applied, Biomechanical parameters like mass of tooth, stiffness and damping coefficient of periodontal ligament & alveolar bone are involved in the differential equation. By solving the equation, tooth displacement thereby, tooth velocity can be obtained for a particular force. On the other hand, based on the dimensions of the model, orthodontist could determine the total tooth displacement required for each setting of the treatment, so that, the total displacement is covered. The orthodontist uses the data and applies the required force on to the teeth, based on which the orthodontist can plan his treatment procedure and reduce the number of settings, total treatment time and also increases the success rate of the treatment.
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.
NASA Astrophysics Data System (ADS)
Putri, Arrival Rince; Nova, Tertia Delia; Watanabe, M.
2016-02-01
Bird flu infection processes within a poultry farm are formulated mathematically. A spatial effect is taken into account for the virus concentration with a diffusive term. An infection process is represented in terms of a traveling wave solutions. For a small removal rate, a singular perturbation analysis lead to existence of traveling wave solutions, that correspond to progressive infection in one direction.
Archimedes: a new model for simulating health care systems--the mathematical formulation.
Schlessinger, Leonard; Eddy, David M
2002-02-01
This paper designs an object-oriented, continuous-time, full simulation model for addressing a wide range of clinical, procedural, administrative, and financial decisions in health care at a high level of biological, clinical, and administrative detail. The full model has two main parts, which with some simplification can be designated "physiology models" and "models of care processes." The models of care processes, although highly detailed, are mathematically straightforward. However, the mathematics that describes human biology, diseases, and the effects of interventions are more difficult. This paper describes the mathematical formulation and methods for deriving equations, for a variety of different sources of data. Although Archimedes was originally designed for health care applications, the formulation, and equations are general and can be applied to many natural systems.
Teacher Education and Mathematics: Program Development and Evaluation.
ERIC Educational Resources Information Center
Chapline, Elaine B.
The Teacher Education and Mathematics (TEAM) Program has been developed to reduce mathematics anxiety and increase mathematics confidence and competence of teacher education students; to increase their perception of mathematics as female domain; and to develop their skills in identifying sex bias in curriculum materials and classroom practices.…
Martinez, M.J.
1995-09-01
A mathematical formulation is presented for describing the transport of air, water, NAPL, and energy through porous media. The development follows a continuum mechanics approach. The theory assumes the existence of various average macroscopic variables which describe the state of the system. Balance equations for mass and energy are formulated in terms of these macroscopic variables. The system is supplemented with constitutive equations relating fluxes to the state variables, and with transport property specifications. Specification of phase equilibrium criteria, various mixing rules and thermodynamic relations completes the system of equations. A numerical simulation scheme based on finite-differences is described.
Mathematical Modelling of Force Convection in a Two-Phase Thermosyphon in Conjugate Formulation
NASA Astrophysics Data System (ADS)
Nurpeiis, Atlant; Nee, Alexander
2016-02-01
A nonlinear non-stationary problem of the conductive-convective heat transfer is addressed (under forced convection conditions) in the thermosyphon of rectangular cross-section. The thermal energy supply is carried out through the lower horizontal border. The mathematical model is formulated in dimensionless variables of "velocity vorticity vector - current function - temperature". The current and temperature distribution lines are obtained, illustrating the effect of the Reynolds number on the thermodynamic structures formation in the analyzed object.
Conducting an External Review of a Mathematics Program and Department
ERIC Educational Resources Information Center
Riley, Kyle
2003-01-01
The Mathematical Association of America Guidelines for Programs and Departments in Undergraduate Mathematical Sciences recommends the use of a periodic external review as an assessment tool to evaluate the mathematics program and the department. However, there is surprisingly little information on how to conduct an external review for a…
NASA Astrophysics Data System (ADS)
Sheppard, Cheyenne J.
Optical momentum within material media has been studied for a century. Although great strides have been made towards understanding photon momenta, there is still a question regarding the correct momentum of light. This is due to the many mathematical interpretations of Maxwell's unification of electromagnetism, yielding many independent views of classical electrodynamic quantities. Within this correspondence, the optical momentum controversy is studied via mathematical principles of continuum relativistic electrodynamics. The electromagnetic wave momentum is studied via moving contribution, where a framework for moving media is developed. Application of the framework with respect to independent formulations of electrodynamics are shown to be consistent with conservation of energy and momentum. In doing this, thought experiments are employed to test each approach and demonstrate the electrodynamic forces with respect to each formulation. This is first applied to two moving perfect reflector submerged in a dielectric medium such that both Abraham and Minkowski momenta are derived. Second, a moving slab of moving magneto-dielectric material is studied expanding the arguments into time average and time varying calculations. Each approach is consistent with electromagnetic wave theory and demonstrates the mathematical methods for deriving the both Abraham and Minkowski momentum models. The kinetic subsystem is studied by use of established physical principles, namely the Lagrangian. The field energy density and momentum density are used to derive the force expressions of electromagnetic fields. This formulates the respective system of equations, forming Maxwell's equations in terms of the field energy and momentum density. By use of the relativistic principle of virtual power, the Maxwell field stress tensor and kinetic momentum density are derived uniquely, disproving specific electrodynamic formulations as the kinetic formulation.
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
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…
A mathematical programming approach to stochastic and dynamic optimization problems
Bertsimas, D.
1994-12-31
We propose three ideas for constructing optimal or near-optimal policies: (1) for systems for which we have an exact characterization of the performance space we outline an adaptive greedy algorithm that gives rise to indexing policies (we illustrate this technique in the context of indexable systems); (2) we use integer programming to construct policies from the underlying descriptions of the performance space (we illustrate this technique in the context of polling systems); (3) we use linear control over polyhedral regions to solve deterministic versions for this class of problems. This approach gives interesting insights for the structure of the optimal policy (we illustrate this idea in the context of multiclass queueing networks). The unifying theme in the paper is the thesis that better formulations lead to deeper understanding and better solution methods. Overall the proposed approach for stochastic and dynamic optimization parallels efforts of the mathematical programming community in the last fifteen years to develop sharper formulations (polyhedral combinatorics and more recently nonlinear relaxations) and leads to new insights ranging from a complete characterization and new algorithms for indexable systems to tight lower bounds and new algorithms with provable a posteriori guarantees for their suboptimality for polling systems, multiclass queueing and loss networks.
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…
BASIC Simulation Programs; Volumes III and IV. Mathematics, Physics.
ERIC Educational Resources Information Center
Digital Equipment Corp., Maynard, MA.
The computer programs presented here were developed as a part of the Huntington Computer Project. They were tested on a Digital Equipment Corporation TSS-8 time-shared computer and run in a version of BASIC. Mathematics and physics programs are presented in this volume. The 20 mathematics programs include ones which review multiplication skills;…
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
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.
Formulating Independent School K-12 Quality Physical Education Program Guidelines
ERIC Educational Resources Information Center
Currie, Stuart M.; Phillips, Michael B.; Jubenville, Colby B.
2012-01-01
The purpose of this study was to formulate Tennessee independent school K-12 quality physical education program guidelines. A panel of 18 physical education representatives from Tennessee independent schools K-12 participated in a three-phase Delphi study and completed three opinionnaires via e-mail. In Phase One, Opinionnaire One solicited panel…
Program Costs: Their Role in Policy Formulation, Implementation and Evaluation.
ERIC Educational Resources Information Center
Sjogren, Jane Huseby
1978-01-01
This discussion has outlined the role played by program costs in the three-stage policy process--policy formulation, policy implementation, and policy evaluation. It has described both the relevance and a framework for education policy evaluation. (Author/IRT)
Droppo, J.G.; Buck, J.W.
1996-03-01
The Multimedia Environmental Pollutant Assessment System (MEPAS) is an integrated software implementation of physics-based fate and transport models for health and environmental risk assessments of both radioactive and hazardous pollutants. This atmospheric component report is one of a series of formulation reports that document the MEPAS mathematical models. MEPAS is a ``multimedia`` model; pollutant transport is modeled within, through, and between multiple media (air, soil, groundwater, and surface water). The estimated concentrations in the various media are used to compute exposures and impacts to the environment, to maximum individuals, and to populations.
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.
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.
Xyce parallel electronic simulator design : mathematical formulation, version 2.0.
Hoekstra, Robert John; Waters, Lon J.; Hutchinson, Scott Alan; Keiter, Eric Richard; Russo, Thomas V.
2004-06-01
This document is intended to contain a detailed description of the mathematical formulation of Xyce, a massively parallel SPICE-style circuit simulator developed at Sandia National Laboratories. The target audience of this document are people in the role of 'service provider'. An example of such a person would be a linear solver expert who is spending a small fraction of his time developing solver algorithms for Xyce. Such a person probably is not an expert in circuit simulation, and would benefit from an description of the equations solved by Xyce. In this document, modified nodal analysis (MNA) is described in detail, with a number of examples. Issues that are unique to circuit simulation, such as voltage limiting, are also described in detail.
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…
A Developmental Program to Non-Grade Mathematics K-12.
ERIC Educational Resources Information Center
Ferrell, Phyllis C.
This report summarizes the first two years of study at the Elk Grove Training and Development Center. The initial program was designed to improve mathematics instruction through the use of a non-graded multi-media approach utilizing laboratory team teaching. Achievement test summaries indicate that K-5 students instructed in mathematics through…
New Equations: The Urban Schools Science and Mathematics Program.
ERIC Educational Resources Information Center
Archer, Elayne
This report describes the efforts of three urban school districts participating in the Urban Schools Science and Mathematics Program (USSAMP) to enhance mathematics and science education in the middle grades and to prepare more African-American, Latino, and female students for career opportunities in technology and science. In Atlanta (Georgia),…
Proctor's Handbook for HP Mathematics Drill and Practice Program.
ERIC Educational Resources Information Center
Hewlett Packard Co., Cupertino, CA.
This handbook has been prepared for the proctor at a school using the Hewlett-Packard Mathematics Drill and Practice Program. Procedures are given for supervising students, maintaining the terminals, and supplying information to others concerned with the program. Contents include: (1) introduction; (2) starting the drill and practice program; (3)…
An integer programming formulation of the parsimonious loss of heterozygosity problem.
Catanzaro, Daniele; Labbé, Martine; Halldórsson, Bjarni V
2013-01-01
A loss of heterozygosity (LOH) event occurs when, by the laws of Mendelian inheritance, an individual should be heterozygote at a given site but, due to a deletion polymorphism, is not. Deletions play an important role in human disease and their detection could provide fundamental insights for the development of new diagnostics and treatments. In this paper, we investigate the parsimonious loss of heterozygosity problem (PLOHP), i.e., the problem of partitioning suspected polymorphisms from a set of individuals into a minimum number of deletion areas. Specifically, we generalize Halldórsson et al.'s work by providing a more general formulation of the PLOHP and by showing how one can incorporate different recombination rates and prior knowledge about the locations of deletions. Moreover, we show that the PLOHP can be formulated as a specific version of the clique partition problem in a particular class of graphs called undirected catch-point interval graphs and we prove its general $({\\cal NP})$-hardness. Finally, we provide a state-of-the-art integer programming (IP) formulation and strengthening valid inequalities to exactly solve real instances of the PLOHP containing up to 9,000 individuals and 3,000 SNPs. Our results give perspectives on the mathematics of the PLOHP and suggest new directions on the development of future efficient exact solution approaches.
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…
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…
Operating Procedures for HP Mathematics Drill and Practice Program.
ERIC Educational Resources Information Center
Hewlett Packard Co., Cupertino, CA.
This book is one of a series of five providing a description of the Hewlett-Packard Mathematics Drill and Practice Program for the computer. Complete operating procedures for the program are given. Contents include: (1) introduction; (2) things to know before operating the system; (3) creating records and files; (4) daily tasks; (5) occasional…
Curriculum Guide for HP Mathematics Drill and Practice Program.
ERIC Educational Resources Information Center
Hewlett Packard Co., Cupertino, CA.
This curriculum guide is one of a series of five books published to supply all appropriate information related to the Hewlett-Packard Mathematics Drill and Practice Program for the computer. This text serves as the primary reference source for the program. The content is divided into two sections. A brief explanation of the curriculum structure is…
RECOMMENDATIONS ON THE UNDERGRADUATE MATHEMATICS PROGRAM FOR ENGINEERS AND PHYSICISTS.
ERIC Educational Resources Information Center
DURST, LINCOLN K.
THIS REPORT PRESENTS A PROGRAM FOR THE UNDERGRADUATE MATHEMATICAL PREPARATION OF ENGINEERS AND PHYSICISTS. THE FOLLOWING STATEMENTS SERVE AS UNDERLYING ASSUMPTIONS FOR ANYONE EXPECTING TO MAKE USE OF THE RECOMMENDATIONS--(1) THE PROGRAM IS ONE FOR THE PRESENT AND THE PROPOSALS ARE SUCH THAT THEY CAN BE CONTINUALLY MODIFIED TO KEEP UP WITH FUTURE…
SURE reliability analysis: Program and mathematics
NASA Technical Reports Server (NTRS)
Butler, Ricky W.; White, Allan L.
1988-01-01
The SURE program is a new reliability analysis tool for ultrareliable computer system architectures. The computational methods on which the program is based provide an efficient means for computing accurate upper and lower bounds for the death state probabilities of a large class of semi-Markov models. Once a semi-Markov model is described using a simple input language, the SURE program automatically computes the upper and lower bounds on the probability of system failure. A parameter of the model can be specified as a variable over a range of values directing the SURE program to perform a sensitivity analysis automatically. This feature, along with the speed of the program, makes it especially useful as a design tool.
ERIC Educational Resources Information Center
Sivley, Stacey Moore
2013-01-01
With open door admission policies, lower tuition rates, and convenient locations, community colleges are enrolling more and more academically unprepared students who are placing into developmental mathematics courses. Many of these community colleges need to assess their developmental education programs, instructors, courses, and students to…
Chapter I Mathematics Program, 1982-83. Report of Evaluation.
ERIC Educational Resources Information Center
Tompkins, John F.
The Des Moines (Iowa) Independent Community School District Chapter I Mathematics Program served 1,110 students in grades 2-8. Chapter I Math students in grades two through six achieved gains on the Iowa Tests of Basic Skills from pre to posttesting. Scores on these tests are reported using a metric known as the Normal Curve Equivalent (NCE). The…
Developing Mathematics Readiness in Pre-School Programs.
ERIC Educational Resources Information Center
Chinn, William G.; And Others
Represented are notes that have been compiled from meetings between teachers and members of the SMSG staff, discussing kinds of pre-school activities that might be appropriate for the development of various mathematical concepts. The sequence of concepts presented are in the same order as they are developed in the SMSG kindergarten program. Some…
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…
Programming Mathematics: A New Approach in Teaching the Disadvantaged.
ERIC Educational Resources Information Center
Bar-On, Ehud; Or-Bach, Rachel
The development of an instructional model for teaching formal mathematical concepts (probability concepts) to disadvantaged high school students through computer programming and some results from a field test are described in this document. The instructional model takes into account both learner characteristics (cognitive, affective, and…
Complementary variational principle and duality in mathematical programming.
NASA Technical Reports Server (NTRS)
Chan, W. L.; Leininger, G. G.; Farison, J. B.
1973-01-01
The relationship between the complementary variational principle and duality in mathematical programming is demonstrated through a geometric approach in a Hilbert space setting. A necessary and sufficient condition for the existence of such a principle is given in the case of a convex functional constrained by linear dynamics. Its relationship to the Kuhn-Tucker saddle point theory is indicated. Applications to various programming and control problems are discussed.
Undergraduate Programs and Courses in the Mathematical Sciences: CUPM Curriculum Guide, 2004
ERIC Educational Resources Information Center
Barker, William; Bressoud, David; Epp, Susanna; Ganter, Susan; Haver, Bill; Pollatsek, Harriet
2004-01-01
The Mathematical Association of America's Committee on the Undergraduate Program in Mathematics (CUPM) is charged with making recommendations to guide mathematical sciences departments in designing undergraduate curricula. "Undergraduate Programs and Courses in the Mathematical Sciences: CUPM Curriculum Guide, 2004" is based on four years of work,…
Effective Programs in Elementary Mathematics: A Best-Evidence Synthesis. Educator's Summary
ERIC Educational Resources Information Center
Center for Data-Driven Reform in Education (NJ3), 2009
2009-01-01
What mathematics programs have been proven to help elementary students to succeed? To find out, this review summarizes evidence on three types of programs designed to improve the mathematics achievement of students in grades K-6: (1) Mathematics Curricula (MC), such as "Everyday Mathematics," "Saxon Math," and other standard and alternative…
ERIC Educational Resources Information Center
Center for Data-Driven Reform in Education (NJ3), 2009
2009-01-01
What mathematics programs have been proven to help middle and high school students to succeed? To find out, this review summarizes evidence on three types of programs designed to improve the mathematics achievement of students in grades 6-12: (1) Mathematics Curricula (MC), such as The "University of Chicago School Mathematics Project," "Connected…
Fissile materials disposition program plutonium immobilization project baseline formulation
Ebbinghaus, B B; Armantrout, G A; Gray, L; Herman, C C; Shaw, H F; Van Konynenburg, R A
2000-09-01
Since 1994 Lawrence Livermore National Laboratory (LLNL), with the help of several other laboratories and university groups, has been the lead laboratory for the Plutonium Immobilization Project (PIP). This involves, among other tasks, the development of a formulation and a fabrication process for a ceramic to be used in the immobilization of excess weapons-usable plutonium. This report reviews the history of the project as it relates to the development of the ceramic form. It describes the sample test plan for the pyrochlore-rich ceramic formulation that was selected, and it specifies the baseline formulation that has been adopted. It also presents compositional specifications (e.g. precursor compositions and mixing recipes) and other form and process specifications that are linked or potentially linked to the baseline formulation.
Summaries of the FY 1981 applied mathematical sciences research program
Not Available
1981-12-01
Applied Mathematical Sciences serves as the DOE focal point for monitoring and advancing the state of the art in mathematics, statistics, and computer science. Several DOE mission programs develop and refine specific techniques from the applied mathematical sciences applicable to their immediate needs. In contrast, Applied Mathematical Sciences concentrates on more broadly based, continuing needs throughout the DOE community. Emphasis is placed on research basic to the analysis, development, and use of large-scale computational models; the management and analysis of large, complex collections of information; and the effective use of DOE computing resources. The purpose of this research is not to improve existing technologies and methodologies, but rather to render them obsolete. Each part of the Applied Mathematical Sciences activity has been designed with the help and advice of leading mathematicians and computer scientists from universities, industry, and DOE laboratories to assure the broadest and greatest impact on the nation's energy R and D enterprise. Many of them are expert in industry's needs in the relevant areas. Close liaison is maintained with other federal agencies in the selection of areas of emphasis and of individual research tasks. This is high leverage research. In favorable cases, the results may be of great benefit simultaneously to a number of different energy technologies. The requested increase will be an exceptionally sound investment.
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.
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…
The Role of Logic and Mathematics in the Heisenberg Formulation of Quantum Mechanics
NASA Astrophysics Data System (ADS)
Venezia, Antonio
2006-06-01
In this paper, by means of a logical and linguistic analysis of Heisenberg's work, the properties of a logical model suitable for quantum mechanics are obtained. This model is an alternative to traditional quantum logic, because it uses an intuitionist negation. It is able to justify the passage from the problem of conjugate variables measurement to the mathematical formalization (commutation rules) of matrix mechanics.
Going Back or Going Forward? Tensions in the Formulation of a New National Curriculum in Mathematics
ERIC Educational Resources Information Center
Brown, Margaret
2011-01-01
Inferences from recent international comparative data on mathematical attainment, frequently quoted as justification for curriculum change, are critically examined, and the implications are contrasted with expressed curricular aims. Using characterisations by Ball (1990) and Ernest (1991), positions of key actors are analysed in relation to…
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,…
Mitsos, Alexander; Melas, Ioannis N; Morris, Melody K; Saez-Rodriguez, Julio; Lauffenburger, Douglas A; Alexopoulos, Leonidas G
2012-01-01
Modeling of signal transduction pathways plays a major role in understanding cells' function and predicting cellular response. Mathematical formalisms based on a logic formalism are relatively simple but can describe how signals propagate from one protein to the next and have led to the construction of models that simulate the cells response to environmental or other perturbations. Constrained fuzzy logic was recently introduced to train models to cell specific data to result in quantitative pathway models of the specific cellular behavior. There are two major issues in this pathway optimization: i) excessive CPU time requirements and ii) loosely constrained optimization problem due to lack of data with respect to large signaling pathways. Herein, we address both issues: the former by reformulating the pathway optimization as a regular nonlinear optimization problem; and the latter by enhanced algorithms to pre/post-process the signaling network to remove parts that cannot be identified given the experimental conditions. As a case study, we tackle the construction of cell type specific pathways in normal and transformed hepatocytes using medium and large-scale functional phosphoproteomic datasets. The proposed Non Linear Programming (NLP) formulation allows for fast optimization of signaling topologies by combining the versatile nature of logic modeling with state of the art optimization algorithms.
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…
Helicopter rotor blade aerodynamic optimization by mathematical programming
NASA Technical Reports Server (NTRS)
Walsh, J. L.; Bingham, G. J.; Riley, M. F.
1984-01-01
Formal mathematical programing was applied to the aerodynamic rotor blade design process. The approach is to couple hover and forward flight analysis programs with the general-purpose optimization program CONMIN to determine the blade taper ratio, percent taper, twist distribution, and solidity which minimize the horsepower required at hover while meeting constraints on forward flight performance. Designs obtained using this approach for the blade of a representative Army helicopter compare well with those obtained using a conventional approach involving personnel-intensive parametric studies. Results from the present method can be obtained in 2 days as compared to 5 weeks required by the conventional procedure. Also the systematic manipulation of the design variables by the optimization procedure minimizes the need for the researcher to have a vast body of past experience and data in determining the influence of a design change on the performance.
Analysis of Shapes. Mathematics-Methods Program Unit. Student Manual [and] Instructor's Manual.
ERIC Educational Resources Information Center
Kerr, Donald R., Jr.; LeBlanc, John F.
This unit is 1 of 12 developed for the university classroom portion of the Mathematics-Methods Program (MMP), created by the Indiana University Mathematics Education Development Center (MEDC) as an innovative program for the mathematics training of prospective elementary school teachers (PSTs). Each unit is written in an activity format that…
Second-order cone programming formulations for robust multiclass classification.
Zhong, Ping; Fukushima, Masao
2007-01-01
Multiclass classification is an important and ongoing research subject in machine learning. Current support vector methods for multiclass classification implicitly assume that the parameters in the optimization problems are known exactly. However, in practice, the parameters have perturbations since they are estimated from the training data, which are usually subject to measurement noise. In this article, we propose linear and nonlinear robust formulations for multiclass classification based on the M-SVM method. The preliminary numerical experiments confirm the robustness of the proposed method.
Barreiro, J A; Salas, M G; Herrera Morám, I
1977-09-01
The purpose of this paper was the development of a mathematical model to predict losses of nutrients with first orden degradation kinetics during the thermal processing of conduction-heated foods. The model do not require experimental heat penetration data and operate for any possible case. It was evaluated experimentally for different thermal processes, being all the results within the 90% confidence interval on the mean experimental values. These results were obtained with a Fortran IV computer program elaborated for this purpose. The duration of this program was two minutes and tem seconds in a PDP 11/45 computer and was more efficient than others presented in the literature.
Guevara, V R
2004-02-01
A nonlinear programming optimization model was developed to maximize margin over feed cost in broiler feed formulation and is described in this paper. The model identifies the optimal feed mix that maximizes profit margin. Optimum metabolizable energy level and performance were found by using Excel Solver nonlinear programming. Data from an energy density study with broilers were fitted to quadratic equations to express weight gain, feed consumption, and the objective function income over feed cost in terms of energy density. Nutrient:energy ratio constraints were transformed into equivalent linear constraints. National Research Council nutrient requirements and feeding program were used for examining changes in variables. The nonlinear programming feed formulation method was used to illustrate the effects of changes in different variables on the optimum energy density, performance, and profitability and was compared with conventional linear programming. To demonstrate the capabilities of the model, I determined the impact of variation in prices. Prices for broiler, corn, fish meal, and soybean meal were increased and decreased by 25%. Formulations were identical in all other respects. Energy density, margin, and diet cost changed compared with conventional linear programming formulation. This study suggests that nonlinear programming can be more useful than conventional linear programming to optimize performance response to energy density in broiler feed formulation because an energy level does not need to be set.
Simulating Bone Loss in Microgravity Using Mathematical Formulations of Bone Remodeling
NASA Technical Reports Server (NTRS)
Pennline, James A.
2009-01-01
Most mathematical models of bone remodeling are used to simulate a specific bone disease, by disrupting the steady state or balance in the normal remodeling process, and to simulate a therapeutic strategy. In this work, the ability of a mathematical model of bone remodeling to simulate bone loss as a function of time under the conditions of microgravity is investigated. The model is formed by combining a previously developed set of biochemical, cellular dynamics, and mechanical stimulus equations in the literature with two newly proposed equations; one governing the rate of change of the area of cortical bone tissue in a cross section of a cylindrical section of bone and one governing the rate of change of calcium in the bone fluid. The mechanical stimulus comes from a simple model of stress due to a compressive force on a cylindrical section of bone which can be reduced to zero to mimic the effects of skeletal unloading in microgravity. The complete set of equations formed is a system of first order ordinary differential equations. The results of selected simulations are displayed and discussed. Limitations and deficiencies of the model are also discussed as well as suggestions for further research.
Fast estimation of space-robots inertia parameters: A modular mathematical formulation
NASA Astrophysics Data System (ADS)
Nabavi Chashmi, Seyed Yaser; Malaek, Seyed Mohammad-Bagher
2016-10-01
This work aims to propose a new technique that considerably helps enhance time and precision needed to identify "Inertia Parameters (IPs)" of a typical Autonomous Space-Robot (ASR). Operations might include, capturing an unknown Target Space-Object (TSO), "active space-debris removal" or "automated in-orbit assemblies". In these operations generating precise successive commands are essential to the success of the mission. We show how a generalized, repeatable estimation-process could play an effective role to manage the operation. With the help of the well-known Force-Based approach, a new "modular formulation" has been developed to simultaneously identify IPs of an ASR while it captures a TSO. The idea is to reorganize the equations with associated IPs with a "Modular Set" of matrices instead of a single matrix representing the overall system dynamics. The devised Modular Matrix Set will then facilitate the estimation process. It provides a conjugate linear model in mass and inertia terms. The new formulation is, therefore, well-suited for "simultaneous estimation processes" using recursive algorithms like RLS. Further enhancements would be needed for cases the effect of center of mass location becomes important. Extensive case studies reveal that estimation time is drastically reduced which in-turn paves the way to acquire better results.
A new mathematical formulation of the line-by-line method in case of weak line overlapping
NASA Technical Reports Server (NTRS)
Ishov, Alexander G.; Krymova, Natalie V.
1994-01-01
A rigorous mathematical proof is presented for multiline representation on the equivalent width of a molecular band which consists in the general case of n overlapping spectral lines. The multiline representation includes a principal term and terms of minor significance. The principal term is the equivalent width of the molecular band consisting of the same n nonoverlapping spectral lines. The terms of minor significance take into consideration the overlapping of two, three and more spectral lines. They are small in case of the weak overlapping of spectral lines in the molecular band. The multiline representation can be easily generalized for optically inhomogeneous gas media and holds true for combinations of molecular bands. If the band lines overlap weakly the standard formulation of line-by-line method becomes too labor-consuming. In this case the multiline representation permits line-by-line calculations to be performed more effectively. Other useful properties of the multiline representation are pointed out.
Mathematical modeling of cement paste microstructure by mosaic pattern Part I. Formulation
Xi, Y.; Tennis, P.D.; Jennings, H.M.
1996-08-01
This paper develops a mathematical model using mosaic patterns to characterize structural features of complex, multiphase and multidimensional microstructures, such as those for cement paste. A multiphase microstructure can be characterized by {ital m} independent parameters: the first {ital m}{minus}1 parameters are equivalent to the volume fractions of the phases, while the final parameter describes the grain size, and thus, the spatial arrangement of the microstructure. An evaluation procedure for the parameters is given; they can be evaluated based on a 2D image, and then the 3D microstructure can be simulated by the present model. The relationship among the model parameters and material parameters, such as water-to-cement ratio and particle size distribution, are also established. {copyright} {ital 1996 Materials Research Society.}
Formulating Employability Skills for Graduates of Public Health Study Program
ERIC Educational Resources Information Center
Qomariyah, Nurul; Savitri, Titi; Hadianto, Tridjoko; Claramita, Mora
2016-01-01
Employability skills (ES) are important for effective and successful individual participation in the workplace. The main aims of the research were to identify important ES needed by graduates of Public Health Study Program Universitas Ahmad Dahlan (PHSP UAD) and to assess the achievement of the ES development that has been carried out by PHSP UAD.…
Formulating, Evaluating and Auditing the Rio Hondo College Counseling Program.
ERIC Educational Resources Information Center
Olson, Gerald T.; Cornelson, Don
As part of a schoolwide effort to increase accountability, the counseling staff at Rio Hondo College, with the aid of a consultant, established an evaluation system for the counseling program. The first step in the process was the ranking of job responsibilities by the counselors according to importance and need. After a number of meetings where…
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…
Luthra, Suman A; Hodge, Ian M; Pikal, Michael J
2008-08-01
The overall objective of these studies was to investigate, by experimental studies and theoretical analysis, the optimum annealing conditions to obtain maximum structural relaxation in lyophilized glasses of pharmaceutical significance. The model formulations used in this work were aspartame: sucrose and aspartame: trehalose (1:10 w/w) freeze-dried glasses. In this article, structural relaxation in amorphous systems was described in terms of the change in the fictive temperature (T(f)) and was measured using the enthalpy relaxation endotherm in a differential scanning calorimeter (DSC). The theoretical analysis was performed using the Tool-Narayanaswamy-Moynihan (TNM) model. The effect of different annealing conditions (temperature and time) on fictive temperature obtained from the theoretical analysis was calculated and compared with the experimental results. The model reproduced the experimental data very well for samples that were quench cooled from the liquid. However, the model fits were poor for lyophilized samples, indicating an inability to incorporate the complex thermal history of freeze-drying in the TNM model. The optimum aging conditions were determined from both DSC and approximated best-fit parameters of the TNM model, and it was found that annealing when done at a temperature about 15-25 degrees C below T(g) resulted in maximum structural relaxation.
Chen, W; Desai, D; Good, D; Crison, J; Timmins, P; Paruchuri, S; Wang, J; Ha, K
2016-08-01
A computational fluid dynamic (CFD) model was developed to predict metformin release from a hydroxypropylmethylcellulose (HPMC) matrix-based extended-release formulation that took into consideration the physical and chemical properties of the drug substance, composition, as well as size and shape of the tablet. New high dose strength (1000 mg) tablet geometry was selected based on the surface area/volume (SA/V) approach advocated by Lapidus/Lordi/Reynold to obtain the desired equivalent metformin release kinetics. Maintaining a similar SA/V ratio across all extended-release metformin hydrochloride (Met XR) tablet strengths that had different geometries provided similar simulations of dissolution behavior. Experimental dissolution profiles of three lots of high-strength tablets agreed with the simulated release kinetics. Additionally, a pharmacokinetic absorption model was developed using GastroPlus™ software and known physicochemical, pharmacokinetic, and in vitro dissolution properties of metformin to predict the clinical exposure of the new high strength (1000 mg) tablet prior to conducting a human clinical bioequivalence study. In vitro metformin release kinetics were utilized in the absorption model to predict exposures in humans for new 1000-mg Met XR tablets, and the absorption model correctly projected equivalent in vivo exposure across all dose strengths. A clinical bioequivalence study was pursued based on the combined modeling results and demonstrated equivalent exposure as predicted by the simulations. PMID:26729531
ERIC Educational Resources Information Center
Dade County Public Schools, Miami, FL.
Performance objectives are stated for each of the secondary school units included in this package of instructional guides prepared for the Dade County Florida Quinmester Program. All three units deal with mathematical applications or concepts in physics dealing with mathematical relationships: "Scientific Mathematics,""Dynamics," and "Kinematics."…
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,…
Benson, James D; Benson, Charles T; Critser, John K
2014-08-01
Optimization of cryopreservation protocols for cells and tissues requires accurate models of heat and mass transport. Model selection often depends on the configuration of the tissue. Here, a mathematical and conceptual model of water and solute transport for whole hamster pancreatic islets has been developed and experimentally validated incorporating fundamental biophysical data from previous studies on individual hamster islet cells while retaining whole-islet structural information. It describes coupled transport of water and solutes through the islet by three methods: intracellularly, intercellularly, and in combination. In particular we use domain decomposition techniques to couple a transmembrane flux model with an interstitial mass transfer model. The only significant undetermined variable is the cellular surface area which is in contact with the intercellularly transported solutes, Ais. The model was validated and Ais determined using a 3×3 factorial experimental design blocked for experimental day. Whole islet physical experiments were compared with model predictions at three temperatures, three perfusing solutions, and three islet size groups. A mean of 4.4 islets were compared at each of the 27 experimental conditions and found to correlate with a coefficient of determination of 0.87±0.06 (mean ± SD). Only the treatment variable of perfusing solution was found to be significant (p<0.05). We have devised a model that retains much of the intrinsic geometric configuration of the system, and thus fewer laboratory experiments are needed to determine model parameters and thus to develop new optimized cryopreservation protocols. Additionally, extensions to ovarian follicles and other concentric tissue structures may be made. PMID:24950195
Inaccuracy Determination in Mathematical Model of Labsocs Efficiency Calibration Program
NASA Astrophysics Data System (ADS)
Kuznetsov, M.; Nikishkin, T.; Chursin, S.
2016-08-01
The study of radioactive materials quantitative inaccuracy determination caused by semiconductor detector aging is presented in the article. The study was conducted using a p- type coaxial GC 1518 detector made of a high-purity germanium produced by Canberra Company and LabSOCS mathematical efficiency calibration program. It was discovered that during 8 years of operation the efficiency of the detector had decreased due to increase of the dead layer of the germanium crystal. Increasing the thickness of the dead layer leads to 2 effects, which influence on the efficiency decrease: the shielding effect and the effect of reducing the active volume of the germanium crystal. It is found that the shielding effect contributes at energies below 88 keV. At energies above 88 keV the inaccuracy is connected with the decrease of the germanium crystal active volume, caused by lithium thermal diffusion.
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.
An Exemplar of Inclusion: a Case Study of an Exemplary Middle School Mathematics Inclusion Program
ERIC Educational Resources Information Center
Black, Frederick J., Jr.
2012-01-01
This qualitative case study examined the inclusion program of students receiving special education services in a general education mathematics classroom at an exemplary middle school in the southern region of Texas. This study sought to identify the best practices of a highly effective middle school mathematics inclusion program. This study…
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…
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…
ERIC Educational Resources Information Center
Dodd, Carol Ann
This study explores a technique for evaluating teacher education programs in terms of teaching competencies, as applied to the Indiana University Mathematics Methods Program (MMP). The evaluation procedures formulated for the study include a process product design in combination with a modification of Pophan's performance test paradigm and Gage's…
Impact of a Summer Mathematics and Technology Program for Middle School Girls
NASA Astrophysics Data System (ADS)
Wiest, Lynda R.
This article discusses the impact of a 5-day residential summer mathematics and technology camp on middle school girls' attitudes and perceived abilities in mathematics and technology. The study sample included 121 Northern Nevada girls who participated in the program during its first 3 years of operation and 25 parents of these girls. Data-gathering measures - the Modified Fennema-Sherman Mathematics Attitude Scale, personal interviews, and participant and parent questionnaires - show that the camp had a strong positive impact on program participants. Key benefits of the program, as well as elements critical to the program s success, are categorized and discussed.
Mentoring Mathematical Minds: An Innovative Program to Develop Math Talent
ERIC Educational Resources Information Center
Gavin, M. Katherine; Casa, Tutita M.; Adelson, Jill L.
2006-01-01
Meeting the needs of mathematically talented elementary students has always been a real challenge due to the lack of appropriate curricular resources and training for teachers. Mathematics is not generally a strength area for elementary or gifted/talented teachers; rather, their talents and interests often lie in the language arts realm. This is…
The Evolution of an Undergraduate Actuarial Mathematics Program
ERIC Educational Resources Information Center
Kennedy, Kristin; Schumacher, Phyllis
2014-01-01
Bryant University was originally a school for business majors and offered only a few mathematics courses. After becoming accredited by the New England Association of Colleges and Universities in the 1960s, the college was required to upgrade its offerings in the area of mathematics. In the 1970s, the department offerings were increased to include…
Integrated Programs for Science and Mathematics: Review of Related Literature
ERIC Educational Resources Information Center
Kurt, Kursat; Pehlivan, Mustafa
2013-01-01
This study presents a review of literature on the integration of science and mathematics, focusing on the dominant trends in the related studies. Majority of the studies conclude that the concept of the integration between science and mathematics is still vogue. On the other hand, there are various methods, techniques and models to achieve this…
Cheng, Kung-Shan; Dewhirst, Mark W.; Stauffer, Paul F.; Das, Shiva
2010-01-01
Purpose: A nonlinear system reconstruction can theoretically provide timely system reconstruction when designing a real-time image-guided adaptive control for multisource heating for hyperthermia. This clinical need motivates an analysis of the essential mathematical characteristics and constraints of such an approach. Methods: The implicit function theorem (IFT), the Karush–Kuhn–Tucker (KKT) necessary condition of optimality, and the Tikhonov–Phillips regularization (TPR) were used to analyze and determine the requirements of the optimal system reconstruction. Two mutually exclusive generic approaches were analyzed to reconstruct the physical system: The traditional full reconstruction and the recently suggested partial reconstruction. Rigorous mathematical analysis based on IFT, KKT, and TPR was provided for all four possible nonlinear reconstructions: (1) Nonlinear noiseless full reconstruction, (2) nonlinear noisy full reconstruction, (3) nonlinear noiseless partial reconstruction, and (4) nonlinear noisy partial reconstruction, when a class of nonlinear formulations of system reconstruction is employed. Results: Effective numerical algorithms for solving each of the aforementioned four nonlinear reconstructions were introduced and formal derivations and analyses were provided. The analyses revealed the necessity of adding regularization when partial reconstruction is used. Regularization provides the theoretical support for one to uniquely reconstruct the optimal system. It also helps alleviate the negative influences of unavoidable measurement noise. Both theoretical analysis and numerical examples showed the importance of having a good initial guess for accomplishing nonlinear system reconstruction. Conclusions: Regularization is mandatory for partial reconstruction to make it well posed. The Tikhonov–Phillips regularized Gauss–Newton algorithm has nice theoretical performance for partial reconstruction of systems with and without noise. The
An Integer Programming Formulation of the Minimum Common String Partition Problem.
Ferdous, S M; Rahman, M Sohel
2015-01-01
We consider the problem of finding a minimum common string partition (MCSP) of two strings, which is an NP-hard problem. The MCSP problem is closely related to genome comparison and rearrangement, an important field in Computational Biology. In this paper, we map the MCSP problem into a graph applying a prior technique and using this graph, we develop an Integer Linear Programming (ILP) formulation for the problem. We implement the ILP formulation and compare the results with the state-of-the-art algorithms from the literature. The experimental results are found to be promising.
Report of the 1983-84 Evaluation of the Primary Mathematics Program. Executive Summary.
ERIC Educational Resources Information Center
Nocerino, Mary Ann; And Others
The Fairfax County, Virginia, Schools' Primary Mathematics Program (PMP) was re-evaluated to provide additional data on program effectiveness and to provide suggestions on future program development, implementation, and improvement. Seventy-one teachers in 14 schools implemented the pilot program. Evaluative data included interviews with 14…
Colbourn, E A; Roskilly, S J; Rowe, R C; York, P
2011-10-01
This study has investigated the utility and potential advantages of gene expression programming (GEP)--a new development in evolutionary computing for modelling data and automatically generating equations that describe the cause-and-effect relationships in a system--to four types of pharmaceutical formulation and compared the models with those generated by neural networks, a technique now widely used in the formulation development. Both methods were capable of discovering subtle and non-linear relationships within the data, with no requirement from the user to specify the functional forms that should be used. Although the neural networks rapidly developed models with higher values for the ANOVA R(2) these were black box and provided little insight into the key relationships. However, GEP, although significantly slower at developing models, generated relatively simple equations describing the relationships that could be interpreted directly. The results indicate that GEP can be considered an effective and efficient modelling technique for formulation data.
Sequential Mathematics Course III. Volume One. Staff Development Program 1986-1987.
ERIC Educational Resources Information Center
New York City Board of Education, Brooklyn, NY. Div. of Curriculum and Instruction.
The Sequential Mathematics Sequence provides students with an integrated course of study, including lessons which interweave algebra, geometry, logic, probability, and mathematical systems. This handbook is designed to meet the needs of teachers who will be teaching Course III in the sequence. The handbook, for use with staff development programs,…
ERIC Educational Resources Information Center
Johnston, Elisabeth
2010-01-01
The purpose of this study was to determine the extent to which a preschool program followed the recommendations outlined by the National Association for the Education of Young Children (NAEYC) and the National Council of Teachers of Mathematics (NCTM) in their joint position statement "Early Childhood Mathematics: Promoting Good Beginnings." Six…
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…
An Evaluation of the Omaha Westside Public Schools Title I Mathematics Programs.
ERIC Educational Resources Information Center
Thompson, Pat; Novak, Carl D.
The Omaha Westside Public Schools Director of Research made a thorough investigation of student participation in the commercially available mathematics programs, the Hoffman Mathematics System and Systems 80, and parental attitudes about student participation. This report answers questions dealing with the justification of Title I funds resulting…
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…
Holm, René; Olesen, Niels Erik; Alexandersen, Signe Dalgaard; Dahlgaard, Birgitte N; Westh, Peter; Mu, Huiling
2016-05-25
Preservatives are inactivated when added to conserve aqueous cyclodextrin (CD) formulations due to complex formation between CDs and the preservative. To maintain the desired conservation effect the preservative needs to be added in apparent surplus to account for this inactivation. The purpose of the present work was to establish a mathematical model, which defines this surplus based upon knowledge of stability constants and the minimal concentration of preservation to inhibit bacterial growth. The stability constants of benzoic acid, methyl- and propyl-paraben with different frequently used βCDs were determined by isothermal titration calorimetry. Based upon this knowledge mathematical models were constructed to account for the equilibrium systems and to calculate the required concentration of the preservations, which was evaluated experimentally based upon the USP/Ph. Eur./JP monograph. The mathematical calculations were able to predict the needed concentration of preservation in the presence of CDs; it clearly demonstrated the usefulness of including all underlying chemical equilibria in a mathematical model, such that the formulation design can be based on quantitative arguments.
Second-order cone programming formulation for consolidation analysis of saturated porous media
NASA Astrophysics Data System (ADS)
Zhang, Xue; Sheng, Daichao; Sloan, Scott W.; Krabbenhoft, Kristian
2016-07-01
In this paper, the incremental problem for consolidation analysis of elastoplastic saturated porous media is formulated and solved using second-order cone programming. This is achieved by the application of the Hellinger-Reissner variational theorem, which casts the governing equations of Biot's consolidation theory as a min-max optimisation problem. The min-max problem is then discretised using the finite element method and converted into a standard second-order cone programming problem that can be solved efficiently using modern optimisation algorithms (such as the primal-dual interior-point method). The proposed computational formulation is verified against a number of benchmark examples and also applied to simulate the construction of a road embankment on soft clay.
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.
A Unification of Mathematics and Computer Programming to Find Polynomial Zeros and Display Graphs
ERIC Educational Resources Information Center
Ecker, Michael W.
2005-01-01
In this article, the author proves a theorem about polynomial zeros, but the focus is on how the theorem is integrated into a QuickBASIC computer program, and how that program answers the questions of the theorem--a unification of mathematics and computer programming. For a given polynomial, how can one overcome assorted problems in finding zeros…
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…
What Is the Place of Algebra in the K-12 Mathematics Program?
ERIC Educational Resources Information Center
Fendel, Dan; And Others
1997-01-01
As times change, so has the role of algebra in the educational program. The Interactive Mathematics Program (IMP) offers secondary students an opportunity to learn algebra in a college preparatory sequence that combines basic skills, problem solving, and conceptual understanding while integrating algebra into a problem-based program. Designed for…
ERIC Educational Resources Information Center
Des Moines Public Schools, IA.
This three-part guide presents a brief program description along with lists of performance objectives and lists of test items for the Des Moines (Iowa) Public Schools Title I Elementary Mathematics Program. The program description provides background information on the Des Moines Public School District and describes the student selection/screening…
METLIN-PC: An applications-program package for problems of mathematical programming
Pshenichnyi, B.N.; Sobolenko, L.A.; Sosnovskii, A.A.; Aleksandrova, V.M.; Shul`zhenko, Yu.V.
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 name {open_quotes}METLIN.{close_quotes}
A Supplementary Program for Environmental Education, Mathematics, Grade K-1.
ERIC Educational Resources Information Center
Warpinski, Robert
Presented in these teacher's guides for grades K-1 are lesson plans and ideas for integrating mathematics and environmental education. Each lesson originates with a fundamental concept pertaining to the environment and states, in addition, its discipline area, subject area, and problem orientation. Following this, behavioral objectives and…
Effectiveness of a Middle School Summer Mathematics Remediation Program
ERIC Educational Resources Information Center
Chapman, Scott
2013-01-01
The No Child Left Behind Act of 2001 requires schools to show measureable improvement in student achievement in order to demonstrate Adequate Yearly Progress. Although the Georgia Department of Education has documented the short-comings of Georgia's students in mathematics on standardized tests, little research has been done on short-term…
Introduction to Vocations Comprehensive Middle School Program: Mathematics Activities.
ERIC Educational Resources Information Center
Gartner, Karen; And Others
Junior high or middle school student activities in mathematics are provided for three entry level occupations in each of fifteen career clusters. The fifteen cluster titles including one of the three occupations for each cluster with an example of a student activity follow: (1) Agri-business and Natural Resources (cropdusting pilot, reading an…
Bhatt, V; Pillai, R
2015-07-01
Transungual drug delivery of antifungals is considered highly desirable to treat common nail disorders such as onychomycosis, due to localized effects, and improved adherence resulting from minimal systemic adverse events. However, the development of effective topical therapies has been hampered by poor nail penetration. An effective topical antifungal must permeate through, and under the dense keratinized nail plate to the site of infection in the nail bed and nail matrix. We present here the formulation development program to provide effective transungual and subungual delivery of efinaconazole, the first topical broad spectrum triazole specifically developed for onychomycosis treatment. We discuss the important aspects encompassing the formulation development program for efinaconazole topical solution, 10%, focusing on its solubility in a number of solvents, in vitro penetration through the nail, and in vivo efficacy. Efinaconazole topical solution, 10% is a stable, non-lacquer, antifungal with a unique combination of ingredients added to an alcohol-based formulation to provide low surface tension and good wetting properties. This low surface tension is believed to affect effective transungual delivery of efinaconazole and believed to provide a dual mode of delivery by accessing the nail bed by wicking into the space between the nail and nail plate. PMID:25940933
Bhatt, V; Pillai, R
2015-07-01
Transungual drug delivery of antifungals is considered highly desirable to treat common nail disorders such as onychomycosis, due to localized effects, and improved adherence resulting from minimal systemic adverse events. However, the development of effective topical therapies has been hampered by poor nail penetration. An effective topical antifungal must permeate through, and under the dense keratinized nail plate to the site of infection in the nail bed and nail matrix. We present here the formulation development program to provide effective transungual and subungual delivery of efinaconazole, the first topical broad spectrum triazole specifically developed for onychomycosis treatment. We discuss the important aspects encompassing the formulation development program for efinaconazole topical solution, 10%, focusing on its solubility in a number of solvents, in vitro penetration through the nail, and in vivo efficacy. Efinaconazole topical solution, 10% is a stable, non-lacquer, antifungal with a unique combination of ingredients added to an alcohol-based formulation to provide low surface tension and good wetting properties. This low surface tension is believed to affect effective transungual delivery of efinaconazole and believed to provide a dual mode of delivery by accessing the nail bed by wicking into the space between the nail and nail plate.
NASA Technical Reports Server (NTRS)
Stutzman, W. L.
1977-01-01
The theoretical fundamentals and mathematical definitions for calculations involved with dual polarized radio links are given. Detailed derivations and results are discussed for several formulations applied to a general dual polarized radio link.
NASA Astrophysics Data System (ADS)
Teoh, Lay Eng; Khoo, Hooi Ling
2013-09-01
This study deals with two major aspects of airlines, i.e. supply and demand management. The aspect of supply focuses on the mathematical formulation of an optimal fleet management model to maximize operational profit of the airlines while the aspect of demand focuses on the incorporation of mode choice modeling as parts of the developed model. The proposed methodology is outlined in two-stage, i.e. Fuzzy Analytic Hierarchy Process is first adopted to capture mode choice modeling in order to quantify the probability of probable phenomena (for aircraft acquisition/leasing decision). Then, an optimization model is developed as a probabilistic dynamic programming model to determine the optimal number and types of aircraft to be acquired and/or leased in order to meet stochastic demand during the planning horizon. The findings of an illustrative case study show that the proposed methodology is viable. The results demonstrate that the incorporation of mode choice modeling could affect the operational profit and fleet management decision of the airlines at varying degrees.
Programming-Languages as a Conceptual Framework for Teaching Mathematics.
ERIC Educational Resources Information Center
Feurzeig, Wallace; And Others
LOGO is a programming language developed at Bolt, Beranek and Newman, Inc., specifically for use in teaching. It provides the student with a set of numerical and symbolic primitives as elements for gradually building extended, complex program structures. The building of these structures is facilitated by a procedure-oriented programming heuristic…
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…
Developing a Pedagogical Problem Solving View for Mathematics Teachers with Two Reflection Programs
ERIC Educational Resources Information Center
Kramarski, Bracha
2009-01-01
The study investigated the effects of two reflection support programs on elementary school mathematics teachers' pedagogical problem solving view. Sixty-two teachers participated in a professional development program. Thirty teachers were assigned to the self-questioning (S_Q) training and thirty two teachers were assigned to the reflection…
ERIC Educational Resources Information Center
King, James M.; And Others
The materials described here represent the conversion of a highly popular student workbook "Sets, Probability and Statistics: The Mathematics of Life Insurance" into a computer program. The program is designed to familiarize students with the concepts of sets, probability, and statistics, and to provide practice using real life examples. It also…
ERIC Educational Resources Information Center
McNamara, James F.
This mathematical programing model was developed to provide the State Board of Education with complete information for evaluating decisions about the efficient allocation of vocational education funds to local school districts. The model, based on a supply-demand criterion, was tested on a set of occupational training programs within a given Labor…
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…
ERIC Educational Resources Information Center
Boone, William J.; Abell, Sandra K.; Volkmann, Mark J.; Arbaugh, Fran; Lannin, John K.
2011-01-01
In 2003 the University of Missouri (with the aid of US National Science Foundation funding) initiated an alternative certification program (CAP) to address the well-documented need in the US for increasing the quantity and quality of mathematics and science teachers for the middle and secondary levels. Nationwide current certification programs do…
ERIC Educational Resources Information Center
Cooke, Audrey; Hurst, Chris
2012-01-01
The issue of mathematics anxiety and its possible links to mathematical competence have long been of concern to mathematics educators, particularly with the potential of the effects of mathematics anxiety to be transmitted from teacher to student. Hence it is in the interests of teacher educators to understand the nature of mathematics anxiety and…
Oborn, Ingrid; Bengtsson, Jan; Hedenus, Fredrik; Rydhmer, Lotta; Stenström, Maria; Vrede, Katarina; Westin, Charles; Magnusson, Ulf
2013-11-01
To increase the awareness of society to the challenges of global food security, we developed five contrasting global and European scenarios for 2050 and used these to identify important issues for future agricultural research. Using a scenario development method known as morphological analysis, scenarios were constructed that took economic, political, technical, and environmental factors into account. With the scenarios as a starting point future challenges were discussed and research issues and questions were identified in an interactive process with stakeholders and researchers. Based on the outcome of this process, six socioeconomic and biophysical overarching challenges for future agricultural were formulated and related research issues identified. The outcome was compared with research priorities generated in five other research programs. In comparison, our research questions focus more on societal values and the role of consumers in influencing agricultural production, as well as on policy formulation and resolving conflicting goals, areas that are presently under-represented in agricultural research. The partly new and more interdisciplinary research priorities identified in Future Agriculture compared to other programs analyzed are likely a result of the methodological approach used, combining scenarios and interaction between stakeholders and researchers.
ERIC Educational Resources Information Center
Budgy, Joseph Vincent
Reported are the results of a study which compared achievement following use of Greater Cleveland Mathematics Program (GCMP) materials with achievement following traditional materials. Growth in mathematical competency was used to compare treatment groups, groups subdivided by intelligence, and groups determined by sex. Three elementary school…
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…
ERIC Educational Resources Information Center
Axvig, Nathan; David, John; Falcetti, Alex
2015-01-01
The Applied and Industrial Mathematics program partners applied mathematics students with businesses, governments, laboratories, and agencies to solve real problems. We will discuss the logistics of the program and give advice on starting and running similar programs. We also give a detailed example of a specific project, namely our work with the…
ERIC Educational Resources Information Center
Fox, Lynn H.
This study investigated the effectiveness of several intervention programs, in terms of increasing girls' participation in mathematics. The programs included two classes developed at Johns Hopkins University (an all-girls' accelerated mathematics class and a girls' career awareness class), and four school system-based programs based on the Study…
Development of a weight/sizing design synthesis computer program. Volume 1: Program formulation
NASA Technical Reports Server (NTRS)
Garrison, J. M.
1973-01-01
The development of a weight/sizing design synthesis methodology for use in support of the main line space shuttle program is discussed. The methodology has a minimum number of data inputs and quick turn around capabilities. The methodology makes it possible to: (1) make weight comparisons between current shuttle configurations and proposed changes, (2) determine the effects of various subsystems trades on total systems weight, and (3) determine the effects of weight on performance and performance on weight.
The Fault Tree Compiler (FTC): Program and mathematics
NASA Technical Reports Server (NTRS)
Butler, Ricky W.; Martensen, Anna L.
1989-01-01
The Fault Tree Compiler Program is a new reliability tool used to predict the top-event probability for a fault tree. Five different gate types are allowed in the fault tree: AND, OR, EXCLUSIVE OR, INVERT, AND m OF n gates. The high-level input language is easy to understand and use when describing the system tree. In addition, the use of the hierarchical fault tree capability can simplify the tree description and decrease program execution time. The current solution technique provides an answer precisely (within the limits of double precision floating point arithmetic) within a user specified number of digits accuracy. The user may vary one failure rate or failure probability over a range of values and plot the results for sensitivity analyses. The solution technique is implemented in FORTRAN; the remaining program code is implemented in Pascal. The program is written to run on a Digital Equipment Corporation (DEC) VAX computer with the VMS operation system.
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…
The Teachers Academy for Mathematics and Science. Executive summary and program activities update
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.
Research in mathematical theory of computation. [computer programming applications
NASA Technical Reports Server (NTRS)
Mccarthy, J.
1973-01-01
Research progress in the following areas is reviewed: (1) new version of computer program LCF (logic for computable functions) including a facility to search for proofs automatically; (2) the description of the language PASCAL in terms of both LCF and in first order logic; (3) discussion of LISP semantics in LCF and attempt to prove the correctness of the London compilers in a formal way; (4) design of both special purpose and domain independent proving procedures specifically program correctness in mind; (5) design of languages for describing such proof procedures; and (6) the embedding of ideas in the first order checker.
Report of Evaluation, Chapter I Mathematics Program, 1982-83.
ERIC Educational Resources Information Center
Tompkins, John F.
The Des Moines Chapter I math program served 1110 students in grades 1-8 during school year 1982-83. The total population of Chapter I students attained the established criteria for achievement gains but the gains for grades 7 and 8, taken alone, were lower than the goals. The same was true for mastery of math objectives. All parent contact…
The Use of Program Theory in Mathematics Education Evaluation Research
ERIC Educational Resources Information Center
Munter, Charles; Cobb, Paul; Shekell, Calli
2014-01-01
One purpose of education research is to develop and rigorously evaluate the effectiveness of programs for supporting students' learning and achievement. The Institute of Education Sciences has amplified that purpose (Shadish & Cook, 2009) and attempted to improve the methodological standards for conducting such work--primarily through the What…
ERIC Educational Resources Information Center
Scott, Timothy P.; Milam, Jennifer L.; Stuessy, Carol L.; Blount, Kit Price; Bentz, Adrienne
2006-01-01
The shortage of certified teachers in mathematics and science in Texas classrooms is a major concern and mirrors national tends. Dramatic increases in shortages of teachers have stimulated the design of new certification programs that recruit and place teachers in classrooms as quickly as possible (Texas Center for Educational Research, 1999).…
Mathematical analysis and computer program development for electromagnetic science studies
NASA Astrophysics Data System (ADS)
Tichovolsky, E.; Cohen, E.; Solin, R.; Dibeneditto, T.; Obrien, J. V.; Gersht, Y.; Bamforth, J.; Weiss, A.; Kerwin, N.; Krol, Y.
1981-11-01
This report contains representative examples of analysis and programming assignments executed for RADC technical personnel by staff of the ACRON Corporation. An assortment of analytical and computational problems as well as data processing tasks were performed relevant to Air Force projects requiring signal processing and electromagnetic theory. The core of the work pertained to LORAN-related studies, antenna theory, target detection and tracking problems, and the analysis of acoustic and magnetostatic wave devices.
A Course Which Used Programming to Aid Learning Various Mathematical Concepts.
ERIC Educational Resources Information Center
Day, Jane M.
A three unit mathematics course entitled Introduction to Computing evaluated the effectiveness of programing as an aid to learning math concepts and to developing student self-reliance. Sixteen students enrolled in the course at the College of Notre Dame in Belmont, California; one terminal was available, connected to the Stanford Computation…
Preparing Mathematics and Science Teachers through a Residency Program: Perceptions and Reflections
ERIC Educational Resources Information Center
Garza, Rubén; Werner, Patrice
2014-01-01
The critical challenge of recruiting, preparing, and retaining high-quality mathematics and science teachers for high-need urban schools is complex. Therefore, identifying factors that support and impede a teaching residency program's implementation may have the potential to build an effective initiative that will benefit all stakeholders.…
From Inquiry-Based Learning to Student Research in an Undergraduate Mathematics Program
ERIC Educational Resources Information Center
Das, Kumer
2013-01-01
As an extension to various sponsored summer undergraduate research programs, academic year research for undergraduate students is becoming popular. Mathematics faculty around the country are getting involved with this type of research and administrators are encouraging this effort. Since 2007, we have been conducting academic year research at…
ERIC Educational Resources Information Center
Weinberg, Andrea E.; Basile, Carole G.; Albright, Leonard
2011-01-01
A mixed methods design was used to evaluate the effects of four experiential learning programs on the interest and motivation of middle school students toward mathematics and science. The Expectancy-Value model provided a theoretical framework for the exploration of 336 middle school student participants. Initially, participants were generally…
ERIC Educational Resources Information Center
Mink, Deborah V.; Fraser, Barry J.
2005-01-01
This article describes a one-year study of 120 fifth grade students whose teachers participated in a program entitled Project SMILE (Science and Mathematics Integrated with Literary Experiences). The purpose of the study was to determine the extent to which the classroom implementation of Project SMILE positively influenced the classroom…
Examining Incoming Identities in an Alternative Certification Program in Mathematics and Science
ERIC Educational Resources Information Center
Friedrichsen, Patricia; Lannin, John; Abell, Sandra; Arbaugh, Fran; Volkmann, Mark
2008-01-01
In response to the shortage of qualified secondary mathematics and science teachers in the United States, alternative certification programs (ACPs) are proliferating. This study used identity as a theoretical lens to examine the incoming identities of 19 participants with post-baccalaureate degrees who entered an ACP. Within this cohort, the…
ERIC Educational Resources Information Center
Ocak, Mehmet A.
2006-01-01
This correlation study examined the relationship between gender and the students' attitude and prior knowledge of using one of the mathematical software programs (MATLAB). Participants were selected from one community college, one state university and one private college. Students were volunteers from three Calculus I classrooms (one class from…
ERIC Educational Resources Information Center
Ruiz, Rosario Vera
2011-01-01
From the point of view of functional programming, a computational process to solve a problem is described as a mathematical function taking some arguments (corresponding to the data of the problem) and returning as a result its solution. Turtle Graphics can be used to describe the movements of a virtual turtle, which leaves a trail along his path…
What Students Notice as Different between Reform and Traditional Mathematics Programs
ERIC Educational Resources Information Center
Star, Jon R.; Smith, John P., III; Jansen, Amanda
2008-01-01
Research on the impact of "Standards"-based mathematics and reform calculus curricula has largely focused on changes in achievement and attitudes, generally ignoring how students experience these new programs. This study was designed to address that deficit. As part of a larger effort to characterize students' transitions into and out of reform…
A Progress Report on an Exploratory Mathematics Course: Incorporating a Programming Component
ERIC Educational Resources Information Center
Goldberg, Robert; Waxman, Jerry
2004-01-01
This paper reports on an ongoing effort to incorporate a programming component into exploratory mathematics courses and analyzes some of the many practical considerations required for successfully managing such a course in large lecture hall classes. Two pedagogical paradigms (top-down and bottom-up) are compared and contrasted for teaching Visual…
ERIC Educational Resources Information Center
Masal, Ercan; Koc, Mustafa; Colak, Tugba Seda; Takunyaci, Mithat
2013-01-01
The main purpose of this research is to analyse whether there is a difference or not in levels of having psychological symptoms of the students of undergraduate program in elementary mathematics teaching. Another aim of the research is to determine whether the levels of having psychological symptoms of the students differ or not regarding various…
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/ .
ERIC Educational Resources Information Center
Halperin, Dora
This practicum addressed the problem of inadequate teacher preparation in the area of learning theory, content, and methodology related to mathematical instruction of children attending a private child care center in Oakland, California. The general goal of the study was to plan, implement, and evaluate a staff development program to increase…
The Effects of After-School Program Participation on Mathematics Achievement: The Case of LA's BEST
ERIC Educational Resources Information Center
Chinen, Marjorie Harue
2010-01-01
This dissertation studies the short-term effects of attending an after-school program (i.e., LA's BEST) on student mathematic achievement. The effects of one, two and three years of participation are studied, as well as the extent to which the magnitude of these effects varies across grades in which participation occurs, and the extent to which…
Accelerated Program in Elementary-School Mathematics--The Fourth Year.
ERIC Educational Resources Information Center
Suppes, Patrick; Ihrke, Constance
Reported is the description of the fourth year (1966-67) of a longitudinal study of the accelerated program involving 30 bright students in elementary school mathematics. This report was written to be as homogeneous as possible with earlier reports by Suppes and Hansen (1965), Suppes (1966), and Suppes and Ihrke (1967). Tables and figures in this…
The Effectiveness of a High School Mathematics Remediation Program on Student Achievement
ERIC Educational Resources Information Center
Kingsborough, Joseph
2011-01-01
The landmark educational reform legislation known as the No Child Left Behind Act (2001) brought sweeping change to the educational establishment through clearly defined learning goals and equally clear consequences for poorly performing schools. The present study sought to determine the impact of a remediation program in mathematics at a suburban…
ERIC Educational Resources Information Center
Denton, Jon J.; Morris, John E.
1991-01-01
Examines how an alternative certification program for secondary teachers was developed and implemented to address local teacher shortages in mathematics and science in Texas. Topics discussed are the policy context, course offerings, the recruitment and selection process, developing an applicant pool, screening of applicants, and placement of…
ERIC Educational Resources Information Center
Biomedical Interdisciplinary Curriculum Project, Berkeley, CA.
This student text presents instructional materials for a unit of mathematics within the Biomedical Interdisciplinary Curriculum Project (BICP), a two-year interdisciplinary precollege curriculum aimed at preparing high school students for entry into college and vocational programs leading to a career in the health field. Lessons concentrate on…
ERIC Educational Resources Information Center
Stanford Univ., CA. School Mathematics Study Group.
The teacher's guide for the eleventh unit in this SMSG series covers the chapter on rigid motions and vectors and the chapter on computers and programs. The overall purpose for each of the chapters is described, the prerequisite knowledge needed by students is specified, the mathematical development of each chapter is detailed, behavioral…
ERIC Educational Resources Information Center
Biomedical Interdisciplinary Curriculum Project, Berkeley, CA.
This instructor's manual presents lesson plans for a unit of mathematics within the Biomedical Interdisciplinary Curriculum Project (BICP), a two-year interdisciplinary precollege curriculum aimed at preparing high school students for entry into college and vocational programs leading to a career in the health field. Lessons concentrate on…
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.
Strengthening programs in science, engineering and mathematics. Third annual progress report
Sandhu, S.S.
1997-09-30
The Division of Natural Sciences and Mathematics at Claflin College consists of the Departments of Biology, Chemistry, Computer Science, Physics, Engineering and Mathematics. It offers a variety of major and minor academic programs designed to meet the mission and objectives of the college. The division`s pursuit to achieve excellence in science education is adversely impacted by the poor academic preparation of entering students and the lack of equipment, facilities and research participation, required to impart adequate academic training and laboratory skills to the students. Funds were received from the US Department of Energy to improve the divisional facilities and laboratory equipment and establish mechanism at pre-college and college levels to increase (1) the pool of high school students who will enroll in Science and Mathematics courses (2) the pool of well qualified college freshmen who will seek careers in Science, Engineering and Mathematics (3) the graduation rate in Science,engineering and Mathematics at the undergraduate level and (4) the pool of well-qualified students who can successfully compete to enter the graduate schools of their choice in the fields of science, engineering, and mathematics. The strategies that were used to achieve the mentioned objectives include: (1) Improved Mentoring and Advisement, (2) Summer Science Camp for 7th and 8th graders, (3) Summer Research Internships for Claflin SEM Seniors, (4) Summer Internships for Rising High School Seniors, (5) Development of Mathematical Skills at Pre-college/Post-secondary Levels, (6) Expansion of Undergraduate Seminars, (7) Exposure of Undergraduates to Guest Speakers/Roll Models, (8) Visitations by Undergraduate Students to Graduate Schools, and (9) Expanded Academic Program in Environmental Chemistry.
ERIC Educational Resources Information Center
Akst, Geoffrey; Ryzewic, Susan Remmer
In April 1983, a questionnaire on the evaluation of remedial mathematics programs wax distributed to all mathematics chairpersons of American institutions of higher education. About 650 (25%) of the institutions responded, yielding information on more than 500 remedial programs and 250 evaluations. The survey dealt with four general areas of…
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
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,…
ERIC Educational Resources Information Center
LaPlaca, Nicholas Anthony
This study compares the cost-effectiveness of an individualized basic mathematics program with a traditional program at the junior high school level. Eighth-grade basic mathematics students (N=118) were identified in two schools. The racial and ethnic makeup, socioeconomic level of residents and school size differed between schools. Teachers were…
ERIC Educational Resources Information Center
Suppes, Patrick
This report describes the second year of the accelerated program in elementary school mathematics being conducted by the Institute for Mathematical Studies in the Social Sciences. A description of the first year of the study, including details of the procedures by which the students were selected, can be found in "Accelerated Program in…
ERIC Educational Resources Information Center
Schrecongost, Jonette
This study analyzed the criteria used in Harrison County, WV, to select students to participate in an accelerated mathematics program. The program's main component is an eighth grade Algebra I course that enables the students to complete five years of college preparatory mathematics, ending with calculus. The scores used as selection criteria,…
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
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.…
NASA Astrophysics Data System (ADS)
Soni, Anuj; Mishra, D. R.
2016-05-01
A mathematical formulation and its experimental validation on α-Al2O3:C for evaluating the number of OSL components has been described. The method consists of various partial bleaching steps of LM-OSL curve and as a result, the peak position (Tmax) of the resultant curve shifts if the system contains multiple components. However, for single component system the peak position of the resultant curve doesn't change on partial bleaching for a phosphor obeying first order kinetics. The method has been theoretically formulated for single and multiple component system with different order of kinetics and validated experimentally on the commercial α-Al2O3:C OSL phosphor. The slope of the curve between shift in Tmax and bleaching time gives the number of the OSL components and measure of their closeness in terms of photoionization cross-section. Based on this result, the photoionization cross-section of the two embedded peaks in the LM-OSL curve of α-Al2O3:C were found to be 1.51 × 10-18 cm2 and 5.02 × 10-19 cm2 using CW-OSL and NL-OSL method.
Shuttle program. MCC Level C formulation requirements: Entry guidance and entry autopilot
NASA Technical Reports Server (NTRS)
Harpold, J. C.; Hill, O.
1980-01-01
A set of preliminary entry guidance and autopilot software formulations is presented for use in the Mission Control Center (MCC) entry processor. These software formulations meet all level B requirements. Revision 2 incorporates the modifications required to functionally simulate optimal TAEM targeting capability (OTT). Implementation of this logic in the MCC must be coordinated with flight software OTT implementation and MCC TAEM guidance OTT. The entry guidance logic is based on the Orbiter avionics entry guidance software. This MCC requirements document contains a definition of coordinate systems, a list of parameter definitions for the software formulations, a description of the entry guidance detailed formulation requirements, a description of the detailed autopilot formulation requirements, a description of the targeting routine, and a set of formulation flow charts.
NASA Technical Reports Server (NTRS)
Bielawa, R. L.
1982-01-01
Mathematical development is presented for the expanded capabilities of the United Technologies Research Center (UTRC) G400 Rotor Aeroelastic Analysis. This expanded analysis, G400PA, simulates the dynamics of teetered rotors, blade pendulum vibration absorbers and the higher harmonic excitations resulting from prescribed vibratory hub motions and higher harmonic blade pitch control. Formulations are also presented for calculating the rotor impedance matrix appropriate to these higher harmonic blade excitations. This impedance matrix and the associated vibratory hub loads are intended as the rotor blade characteristics elements for use in the Simplified Coupled Rotor/Fuselage Vibration Analysis (SIMVIB). Sections are included presenting updates to the development of the original G400 theory, and material appropriate to the user of the G400PA computer program. This material includes: (1) a general descriptionof the tructuring of the G400PA FORTRAN coding, (2) a detaild description of the required input data and other useful information for successfully running the program, and (3) a detailed description of the output results.
Technology Transfer Automated Retrieval System (TEKTRAN)
Ready-to-use therapeutic food (RUTF) is the standard of care for children suffering from noncomplicated severe acute malnutrition (SAM). The objective was to develop a comprehensive linear programming (LP) tool to create novel RUTF formulations for Ethiopia. A systematic approach that surveyed inter...
Nonlinear-programming mathematical modeling of coal blending for power plant
Tang Longhua; Zhou Junhu; Yao Qiang; Cao Xinyu; Wu Xiaorong; Cao Daoqing; Yin Chungen; Cen Kefa
1997-12-31
At present most of the blending works are guided by experience or linear-programming (LP) which can not reflect the coal complicated characteristics properly. Experimental and theoretical research work shows that most of the coal blend properties can not always be measured as a linear function of the properties of the individual coals in the blend. The authors introduced nonlinear functions or processes (including neural network and fuzzy mathematics), established on the experiments directed by the authors and other researchers, to quantitatively describe the complex coal blend parameters. Finally nonlinear-programming (NLP) mathematical modeling of coal blend is introduced and utilized in the Hangzhou Coal Blending Center. Predictions based on the new method resulted in different results from the ones based on LP modeling. The authors concludes that it is very important to introduce NLP modeling, instead of NL modeling, into the work of coal blending.
NASA Astrophysics Data System (ADS)
Thornton, Steve; Giles, Wendy; Prescott, Debbie; Rhodes, David
2011-06-01
This paper reports on the efficacy of an accelerated teacher education program ( Growing Our Own) focused in remote Indigenous communities in the Northern Territory. The program is a joint initiative of Charles Darwin University and the Northern Territory Catholic Education Office, providing an intensive two-year program designed to educate Indigenous Teacher Assistants to full teacher status. We describe the growth in knowledge and confidence that has occurred through the program using the story of one of the students in the project, Philomena, as an evocative representation of the experiences of the participants in the program. This growth is particularly evident in one lesson that Philomena taught towards the end of the program in which she was able to challenge her previously accepted role as subservient to the non-Indigenous teacher. Our discussion highlights some key issues for improving outcomes for Indigenous children, including the potential mismatch between Western and Aboriginal ways of thinking in mathematics and developing the mathematical capacity of Indigenous teacher assistants in remote settings. We suggest that the mutual respect of the participants at various levels of Growing Our Own, the situated and purposeful nature of the learning, and the capacity of students to engage in that learning without abandoning their community responsibilities have been pivotal in enhancing educational outcomes in remote communities and in providing opportunities for Indigenous people.
NASA Technical Reports Server (NTRS)
1996-01-01
This paper presents the summaries of the MCTP Summer Research Internship Program. Technological areas discussed include: Mathematical curriculum development for real world problems; Rain effects on air-water gas exchange; multi-ring impact basins on mars; developing an interactive multimedia educational cd-rom on remote sensing; a pilot of an activity for for the globe program; fossils in maryland; developing children's programming for the american horticultural society at river farm; children's learning, educational programs of the national park service; a study of climate and student satisfaction in two summer programs for disadvantaged students interested in careers in mathematics and science; the maryland governor's academy, integrating technology into the classroom; stream sampling with the maryland biological stream survey (MBSS); the imaging system inspection software technology, the preparation and detection of nominal and faulted steel ingots; event-based science, the development of real-world science units; correlation between anxiety and past experiences; environmental education through summer nature camp; enhancing learning opportunities at the Salisbury zoo; plant growth experiment, a module for the middle school classroom; the effects of proxisome proliferators in Japanese medaka embryos; development of a chapter on birth control and contraceptive methodologies as part of an interactive computer-based education module on hiv and aids; excretion of gentamicin in toadfish and goldfish; the renaissance summer program; and Are field trips important to the regional math science center?
1996-11-01
This document is intended to serve two purposes. Its first purpose is that of a program status report of the considerable progress that the Department of Energy (DOE) has made since 1993, the time of the last such report (DOE/ER-0536, The DOE Program in HPCC), toward achieving the goals of the High Performance Computing and Communications (HPCC) Program. The second purpose is that of a summary report of the many research programs administered by the Mathematical, Information, and Computational Sciences (MICS) Division of the Office of Energy Research under the auspices of the HPCC Program and to provide, wherever relevant, easy access to pertinent information about MICS-Division activities via universal resource locators (URLs) on the World Wide Web (WWW).
1996-06-01
This document is intended to serve two purposes. Its first purpose is that of a program status report of the considerable progress that the Department of Energy (DOE) has made since 1993, the time of the last such report (DOE/ER-0536, {open_quotes}The DOE Program in HPCC{close_quotes}), toward achieving the goals of the High Performance Computing and Communications (HPCC) Program. The second purpose is that of a summary report of the many research programs administered by the Mathematical, Information, and Computational Sciences (MICS) Division of the Office of Energy Research under the auspices of the HPCC Program and to provide, wherever relevant, easy access to pertinent information about MICS-Division activities via universal resource locators (URLs) on the World Wide Web (WWW). The information pointed to by the URL is updated frequently, and the interested reader is urged to access the WWW for the latest information.
Reif, R.J.; Lock, C.R.
1998-11-01
This project addressed the problem of female and minority representation in science and mathematics education and in related fields. It was designed to recruit high school students from under-represented groups into a program that provided significant, meaningful experiences to encourage those young people to pursue careers in science and science teaching. It provided role models for those students. It provided experiences outside of the normal school environment, experiences that put the participants in the position to serve as role models themselves for disadvantaged young people. It also provided encouragement to pursue careers in science and mathematics teaching and related careers. In these respects, it complemented other successful programs to encourage participation in science. And, it differed in that it provided incentives at a crucial time, when career decisions are being made during the high school years. Further, it encouraged the pursuit of careers in science teaching. The objectives of this project were to: (1) provide enrichment instruction in basic concepts in the life, earth, space, physical sciences and mathematics to selected high school students participating in the program; (2) provide instruction in teaching methods or processes, including verbal communication skills and the use of questioning; (3) provide opportunities for participants, as paid student interns, to transfer knowledge to other peers and adults; (4) encourage minority and female students with high academic potential to pursue careers in science teaching.
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…
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…
ERIC Educational Resources Information Center
Peak, David J.
2010-01-01
Improving student achievement in mathematics in secondary schools remains a priority for public education in our country. With continued federal and state mandates to improve overall student achievement in mathematics, as well as to close the achievement gap, many school districts have sought programs, such as Advancement Via Individual…
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…
Mitsos, Alexander; Melas, Ioannis N; Siminelakis, Paraskeuas; Chairakaki, Aikaterini D; Saez-Rodriguez, Julio; Alexopoulos, Leonidas G
2009-12-01
Understanding the mechanisms of cell function and drug action is a major endeavor in the pharmaceutical industry. Drug effects are governed by the intrinsic properties of the drug (i.e., selectivity and potency) and the specific signaling transduction network of the host (i.e., normal vs. diseased cells). Here, we describe an unbiased, phosphoproteomic-based approach to identify drug effects by monitoring drug-induced topology alterations. With our proposed method, drug effects are investigated under diverse stimulations of the signaling network. Starting with a generic pathway made of logical gates, we build a cell-type specific map by constraining it to fit 13 key phopshoprotein signals under 55 experimental conditions. Fitting is performed via an Integer Linear Program (ILP) formulation and solution by standard ILP solvers; a procedure that drastically outperforms previous fitting schemes. Then, knowing the cell's topology, we monitor the same key phosphoprotein signals under the presence of drug and we re-optimize the specific map to reveal drug-induced topology alterations. To prove our case, we make a topology for the hepatocytic cell-line HepG2 and we evaluate the effects of 4 drugs: 3 selective inhibitors for the Epidermal Growth Factor Receptor (EGFR) and a non-selective drug. We confirm effects easily predictable from the drugs' main target (i.e., EGFR inhibitors blocks the EGFR pathway) but we also uncover unanticipated effects due to either drug promiscuity or the cell's specific topology. An interesting finding is that the selective EGFR inhibitor Gefitinib inhibits signaling downstream the Interleukin-1alpha (IL1alpha) pathway; an effect that cannot be extracted from binding affinity-based approaches. Our method represents an unbiased approach to identify drug effects on small to medium size pathways which is scalable to larger topologies with any type of signaling interventions (small molecules, RNAi, etc). The method can reveal drug effects on
ERIC Educational Resources Information Center
Ricketts, Jean Napier
The effects of a prescribed, sequential program of reading and mathematics readiness activities were investigated in an experimental study of 229 middle-class kindergarten children. Eight of 16 kindergarten classes received the experimental treatment for six months; the other eight served as a control group. Readiness tests were given before and…
Nikolaev, V.I.; Yatsko, S.N.
1995-12-01
A mathematical model and a package of programs are presented for simulating the atmospheric turbulent diffusion of contaminating impurities from land based and other sources. Test calculations and investigations of the effect of various factors are carried out.
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…
Tada, K; Kishimoto, M; Omasa, T; Katakura, Y; Suga, K
2001-01-01
Constrained optimization for microbial fermentation was studied. For optimization, we used not the maximum principle but a nonlinear programming method because of the need to consider many metabolic reactions. In the case of L-lysine fermentation, the optimization problem in L-lysine production was formulated as a nonlinear programming problem. In general, the state equations based on material balances are represented as differential equations, but such equations which are dependent on time can not be applied to a nonlinear programming problem. Therefore, the state equations were made discrete in a time base, and a new single vector which is not dependent on time was substituted. From these formulae, the objective function and the constraints using nonlinear programming problem were defined as the amount of L-lysine produced, and as a metabolic reaction model and empirical equations, respectively. Computer program was developed to solve this constrained nonlinear programming problem. The applied algorithm of the computer programming was a sequential quadratic programming method (SQP method). When the constrained nonlinear programming problem is solved using the SQP method, the maximum amount of L-lysine produced and the optimal feeding rate of L-threonine could be calculated. From the calculated results, it was clear that introduction of the equality and inequality constraints was easy. L-Lysine at a concentration up to 75.3 g/l could be produced when the fermentation was carried out under optimal conditions.
ERIC Educational Resources Information Center
Cummings, Liza
2011-01-01
The purpose of this "intrinsic multi-descriptive" case study was to explore how a mathematics curriculum leadership graduate degree program influenced seven participants' views and actions as they transitioned into new mathematics curriculum leadership roles. The mathematics curriculum leadership graduate degree program was a joint…
Lee, Dongchul; Hershey, Brad; Bradley, Kerry; Yearwood, Thomas
2011-07-01
To understand the theoretical effects of pulse width (PW) programming in spinal cord stimulation (SCS), we implemented a mathematical model of electrical fields and neural activation in SCS to gain insight into the effects of PW programming. The computational model was composed of a finite element model for structure and electrical properties, coupled with a nonlinear double-cable axon model to predict nerve excitation for different myelinated fiber sizes. Mathematical modeling suggested that mediolateral lead position may affect chronaxie and rheobase values, as well as predict greater activation of medial dorsal column fibers with increased PW. These modeling results were validated by a companion clinical study. Thus, variable PW programming in SCS appears to have theoretical value, demonstrated by the ability to increase and even 'steer' spatial selectivity of dorsal column fiber recruitment. It is concluded that the computational SCS model is a valuable tool to understand basic mechanisms of nerve fiber excitation modulated by stimulation parameters such as PW and electric fields.
NASA Technical Reports Server (NTRS)
Stough, Roger
2004-01-01
The purpose of this workshop was to survey existing health and safety policies as well as processes and practices for various extreme environments; to identify strengths and shortcomings of these processes; and to recommend parameters for inclusion in a generic approach to policy formulation, applicable to the broadest categories of extreme environments. It was anticipated that two additional workshops would follow. The November 7, 2003 workshop would be devoted to the evaluation of different model(s) and a concluding expert evaluation of the usefulness of the model using a policy formulation example. The final workshop was planned for March 2004.
Solution of steady-state one-dimensional conservation laws by mathematical programming
NASA Technical Reports Server (NTRS)
Lavery, J. E.
1989-01-01
Solution techniques for a class of steady-state scalar conservation laws are developed analytically. Discretization by finite-volume formulas is employed to obtain an overdetermined system of algebraic equations, which are then perturbed nonsingularly (with perturbation coefficient = epsilon) and solved using the l(1) mathematical-programming algorithm of Seneta and Steiger (1984); this approach limits the matrix bandwidth to two, so that an explicit solution can be found efficiently. It is shown that, for small values of epsilon, the l(1) solutions exhibit sharp correctly located shocks and are nonoscillatory O(epsilon) approximations of the physically relevant solutions.
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.
In Focus...Mathematics, History, Ethnomathematics and Education: A Comprehensive Program.
ERIC Educational Resources Information Center
D'Ambrosio, Ubiratan
1999-01-01
Discusses the nature of mathematics, the goals of education, and the political dimension of mathematics. Considers ethnomathematics, the history of mathematics, and advances in ethnomathematics. Proposes a new conception of curriculum. (ASK)
Not Available
1990-12-01
The issue of global warming and related climatic changes from increasing concentrations of greenhouse gases in the atmosphere has received prominent attention during the past few years. The Computer Hardware, Advanced Mathematics, and Model Physics (CHAMMP) Climate Modeling Program is designed to contribute directly to this rapid improvement. The goal of the CHAMMP Climate Modeling Program is to develop, verify, and apply a new generation of climate models within a coordinated framework that incorporates the best available scientific and numerical approaches to represent physical, biogeochemical, and ecological processes, that fully utilizes the hardware and software capabilities of new computer architectures, that probes the limits of climate predictability, and finally that can be used to address the challenging problem of understanding the greenhouse climate issue through the ability of the models to simulate time-dependent climatic changes over extended times and with regional resolution.
ERIC Educational Resources Information Center
Raines, Roy H.
The effectiveness of a basic college mathematics course consisting of lecture-discussion classroom procedures and homework assignments from a traditional text was compared to the effectiveness of a course designed to combat low grade achievement and a high dropout rate by allowing for individual differences. The revised course consisted of…
ERIC Educational Resources Information Center
Marshall, Gail; 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 kindergarten through grade 6. An Extended Pilot Test was scheduled for spring 1982 for several…
ERIC Educational Resources Information Center
Adams, Tanya
2012-01-01
The purpose of this study was to investigate the effectiveness of the CompassLearning Odyssey® Math (Compass Math) program on increasing mathematics achievement scores for students in an urban environment over two consecutive years. Thousands of schools and districts across the country currently utilize the Compass Math program for their students…
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…
NASA Technical Reports Server (NTRS)
Kumar, L.
1978-01-01
A computer program is described for calculating the flexibility coefficients as arm design changes are made for the remote manipulator system. The coefficients obtained are required as input for a second program which reduces the number of payload deployment and retrieval system simulation runs required to simulate the various remote manipulator system maneuvers. The second program calculates end effector flexibility and joint flexibility terms for the torque model of each joint for any arbitrary configurations. The listing of both programs is included in the appendix.
Barmpalexis, Panagiotis; Kachrimanis, Kyriakos; Georgarakis, Emanouil
2011-01-01
The present study investigates the use of nimodipine-polyethylene glycol solid dispersions for the development of effervescent controlled release floating tablet formulations. The physical state of the dispersed nimodipine in the polymer matrix was characterized by differential scanning calorimetry, powder X-ray diffraction, FT-IR spectroscopy and polarized light microscopy, and the mixture proportions of polyethylene glycol (PEG), polyvinyl-pyrrolidone (PVP), hydroxypropylmethylcellulose (HPMC), effervescent agents (EFF) and nimodipine were optimized in relation to drug release (% release at 60 min, and time at which the 90% of the drug was dissolved) and floating properties (tablet's floating strength and duration), employing a 25-run D-optimal mixture design combined with artificial neural networks (ANNs) and genetic programming (GP). It was found that nimodipine exists as mod I microcrystals in the solid dispersions and is stable for at least a three-month period. The tablets showed good floating properties and controlled release profiles, with drug release proceeding via the concomitant operation of swelling and erosion of the polymer matrix. ANNs and GP both proved to be efficient tools in the optimization of the tablet formulation, and the global optimum formulation suggested by the GP equations consisted of PEG=9%, PVP=30%, HPMC=36%, EFF=11%, nimodipine=14%.
ERIC Educational Resources Information Center
Munter, Charles; Cobb, Paul; Shekell, Calli
2016-01-01
We examined the extent to which mathematics program evaluations that have been conducted according to methodologically rigorous standards have attended to the theories underlying the programs being evaluated. Our analysis focused on the 37 reports of K-12 mathematics program evaluations in the last two decades that have met standards for inclusion…
LEE, Chang Jun
2015-01-01
In the fields of researches associated with plant layout optimization, the main goal is to minimize the costs of pipelines and pumping between connecting equipment under various constraints. However, what is the lacking of considerations in previous researches is to transform various heuristics or safety regulations into mathematical equations. For example, proper safety distances between equipments have to be complied for preventing dangerous accidents on a complex plant. Moreover, most researches have handled single-floor plant. However, many multi-floor plants have been constructed for the last decade. Therefore, the proper algorithm handling various regulations and multi-floor plant should be developed. In this study, the Mixed Integer Non-Linear Programming (MINLP) problem including safety distances, maintenance spaces, etc. is suggested based on mathematical equations. The objective function is a summation of pipeline and pumping costs. Also, various safety and maintenance issues are transformed into inequality or equality constraints. However, it is really hard to solve this problem due to complex nonlinear constraints. Thus, it is impossible to use conventional MINLP solvers using derivatives of equations. In this study, the Particle Swarm Optimization (PSO) technique is employed. The ethylene oxide plant is illustrated to verify the efficacy of this study. PMID:26027708
Lee, Chang Jun
2015-01-01
In the fields of researches associated with plant layout optimization, the main goal is to minimize the costs of pipelines and pumping between connecting equipment under various constraints. However, what is the lacking of considerations in previous researches is to transform various heuristics or safety regulations into mathematical equations. For example, proper safety distances between equipments have to be complied for preventing dangerous accidents on a complex plant. Moreover, most researches have handled single-floor plant. However, many multi-floor plants have been constructed for the last decade. Therefore, the proper algorithm handling various regulations and multi-floor plant should be developed. In this study, the Mixed Integer Non-Linear Programming (MINLP) problem including safety distances, maintenance spaces, etc. is suggested based on mathematical equations. The objective function is a summation of pipeline and pumping costs. Also, various safety and maintenance issues are transformed into inequality or equality constraints. However, it is really hard to solve this problem due to complex nonlinear constraints. Thus, it is impossible to use conventional MINLP solvers using derivatives of equations. In this study, the Particle Swarm Optimization (PSO) technique is employed. The ethylene oxide plant is illustrated to verify the efficacy of this study.
Mathematical model for lift/cruise fan V/STOL aircraft simulator programming data
NASA Technical Reports Server (NTRS)
Bland, M. P.; Fajfar, B.; Konsewicz, R. K.
1976-01-01
Simulation data are reported for the purpose of programming the flight simulator for advanced aircraft for tests of the lift/cruise fan V/STOL Research Technology Aircraft. These simulation tests are to provide insight into problem areas which are encountered in operational use of the aircraft. A mathematical model is defined in sufficient detail to represent all the necessary pertinent aircraft and system characteristics. The model includes the capability to simulate two basic versions of an aircraft propulsion system: (1) the gas coupled configuration which uses insulated air ducts to transmit power between gas generators and fans in the form of high energy engine exhaust and (2) the mechanically coupled power system which uses shafts, clutches, and gearboxes for power transmittal. Both configurations are modeled such that the simulation can include vertical as well as rolling takeoff and landing, hover, powered lift flight, aerodynamic flight, and the transition between powered lift and aerodynamic flight.
A compact formulation for maximizing the expected number of transplants in kidney exchange programs
NASA Astrophysics Data System (ADS)
Alvelos, Filipe; Klimentova, Xenia; Rais, Abdur; Viana, Ana
2015-05-01
Kidney exchange programs (KEPs) allow the exchange of kidneys between incompatible donor-recipient pairs. Optimization approaches can help KEPs in defining which transplants should be made among all incompatible pairs according to some objective. The most common objective is to maximize the number of transplants. In this paper, we propose an integer programming model which addresses the objective of maximizing the expected number of transplants, given that there are equal probabilities of failure associated with vertices and arcs. The model is compact, i.e. has a polynomial number of decision variables and constraints, and therefore can be solved directly by a general purpose integer programming solver (e.g. Cplex).
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.
NASA Technical Reports Server (NTRS)
Sadler, S. G.
1972-01-01
A mathematical model and computer program were implemented to study the main rotor free wake geometry effects on helicopter rotor blade air loads and response in steady maneuvers. The theoretical formulation and analysis of results are presented.
Principles to Actions: Mathematics Programs as the Core for Student Learning
ERIC Educational Resources Information Center
Brahier, Daniel; Leinwand, Steve; Huniker, DeAnn
2014-01-01
The National Council of Teachers of Mathematics (NCTM) launched the "standards-based" education movement in North America in 1989 with the release of "Curriculum and Evaluation Standards for School Mathematics," an unprecedented action to promote systemic improvement in mathematics education. Now, twenty-five years later, the…
ERIC Educational Resources Information Center
Cohen, Miriam
2012-01-01
The outcome of American students' performances during international comparisons consistently scoring inadequately in mathematics exposes the crisis of deficient mathematics achievement thus causing deep concerns. Learners who acquire a strong theoretical foundation in mathematics at the primary level thrived later in more advanced level…
ERIC Educational Resources Information Center
Lambic, Dragan
2011-01-01
One of the biggest problems in teaching Mathematics is the motivation of students (Kloosterman, 1997; Lambic, 2008). The core of this problem is insufficient comprehension of reasons by students, why they want to learn Mathematics and in which way they could apply acquired knowledge of Mathematics (Southwell, 1994; Musto, 2008). Since programming…
A method for optimizing waste collection using mathematical programming: a Buenos Aires case study.
Bonomo, Flavio; Durán, Guillermo; Larumbe, Frederico; Marenco, Javier
2012-03-01
A method is proposed that uses operations research techniques to optimize the routes of waste collection vehicles servicing dumpster or skip-type containers. The waste collection problem is reduced to the classic travelling salesman problem, which is then solved using the Concorde solver program. A case study applying the method to the collection system in the southern zone of Buenos Aires is also presented. In addition to the typical minimum distance criterion, the optimization problem incorporates the objective of reducing vehicle wear and tear as measured by the physics concept of mechanical work. The solution approach, employing graph theory and mathematical programming tools, is fully described and the data correction process is also discussed. The application of the proposed method minimized the distance travelled by each collection vehicle in the areas studied, with actual reductions ranging from 10 to 40% of the existing routes. The shortened distances led in turn to substantial decreases in work done and therefore in vehicle wear and tear. Extrapolation of the results to the entire southern zone of Buenos Aires indicates potential savings for the civic authorities of more than US $200,000 per year in addition to the qualitative impacts of less traffic disruption, less vehicle driver fatigue and less pollution.
A method for optimizing waste collection using mathematical programming: a Buenos Aires case study.
Bonomo, Flavio; Durán, Guillermo; Larumbe, Frederico; Marenco, Javier
2012-03-01
A method is proposed that uses operations research techniques to optimize the routes of waste collection vehicles servicing dumpster or skip-type containers. The waste collection problem is reduced to the classic travelling salesman problem, which is then solved using the Concorde solver program. A case study applying the method to the collection system in the southern zone of Buenos Aires is also presented. In addition to the typical minimum distance criterion, the optimization problem incorporates the objective of reducing vehicle wear and tear as measured by the physics concept of mechanical work. The solution approach, employing graph theory and mathematical programming tools, is fully described and the data correction process is also discussed. The application of the proposed method minimized the distance travelled by each collection vehicle in the areas studied, with actual reductions ranging from 10 to 40% of the existing routes. The shortened distances led in turn to substantial decreases in work done and therefore in vehicle wear and tear. Extrapolation of the results to the entire southern zone of Buenos Aires indicates potential savings for the civic authorities of more than US $200,000 per year in addition to the qualitative impacts of less traffic disruption, less vehicle driver fatigue and less pollution. PMID:21460074
ERIC Educational Resources Information Center
Garza, Rubén; Harter, Rod A.
2016-01-01
The purpose of our study was to examine mathematics and science pre-service teachers' perceptions of their mentoring experiences during their 1st year in the Teaching Residency Program for Critical Shortage Areas, an initiative designed to recruit, prepare, and retain teachers for high-need urban schools. Results from this mixed-methods study…
ERIC Educational Resources Information Center
Kim, Rae Young; Ham, Seung-Hwan; Paine, Lynn W.
2011-01-01
As a comparative analysis of teacher preparation in its sociohistorical contexts, this study examines the official educational aims and curricula of 49 mathematics teacher preparation programs in South Korea and the United States, where substantial differences have been observed in both student achievement and teacher knowledge. Overall, the…
ERIC Educational Resources Information Center
Deppe, Scott
2012-01-01
This exploratory phenomenological study was designed to investigate the relationships between mathematics and music skills of students participating in successful high school instrumental music programs. The participants of this study were purposefully selected and included one math educator or math department chairperson and the band or orchestra…
ERIC Educational Resources Information Center
Van der Vossen, Maria R.
2012-01-01
This causal-comparative study examined the relationship between enrollment/non-enrollment in music programs of differing content or quality and mathematical achievement among 739 secondary (grades 8-12) students from four different Maryland counties. The students, both female and male, were divided into sample groups by their participation in a…
ERIC Educational Resources Information Center
Honeycutt, Robin A.
2013-01-01
Math instruction has undergone a tremendous amount of change since the late 1950s. "New math" of the 1960s, the standards movement, back to the basics in the early 90s, and now the common core standards have all had an impact on how mathematics is taught. This study examined the Math Expressions program, a conceptually based program…
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…
NASA Technical Reports Server (NTRS)
Desoer, C. A.; Polak, E.; Zadeh, L. A.
1974-01-01
A series of research projects is briefly summarized which includes investigations in the following areas: (1) mathematical programming problems for large system and infinite-dimensional spaces, (2) bounded-input bounded-output stability, (3) non-parametric approximations, and (4) differential games. A list of reports and papers which were published over the ten year period of research is included.
ERIC Educational Resources Information Center
Ferreira, Maria M.
This study examined the impact of an after-school science program that incorporated cooperative learning, hands-on activities, mentoring, and role models on a group of minority female students' attitudes toward science, engineering, and mathematics. Eighteen African American middle school students participated in the study. Seven female engineers…
ERIC Educational Resources Information Center
Pape, Stephen J.; Prosser, Sherri K.; Griffin, Cynthia C.; Dana, Nancy Fichtman; Algina, James; Bae, Jungah
2015-01-01
This study sought to identify components of an asynchronous online teacher professional development program, "Prime Online," that potentially affected participants' mathematical knowledge for teaching (MKT). Twenty-three third- through fifth-grade general education and special education teachers completed a yearlong online teacher…
ERIC Educational Resources Information Center
Tarlow, Lynn D.
2014-01-01
This study documents the change in teaching practices of a group of mathematics teachers in urban middle schools as they participated in a program of professional development to promote standards-based learning environments. The teachers made a shift in their classroom practice from a traditional, didactic lecture approach towards a role of…
Effective Programs in Middle and High School Mathematics: A Best-Evidence Synthesis. Version 1.4
ERIC Educational Resources Information Center
Slavin, Robert E.; Lake, Cynthia; Groff, Cynthia
2008-01-01
This article reviews research on the achievement outcomes of mathematics programs for middle and high schools. Study inclusion requirements included use of a randomized or matched control group, a study duration of at least twelve weeks, and equality at pretest. There were 102 qualifying studies, 28 of which used random assignment to treatments.…
ERIC Educational Resources Information Center
New York Univ., NY. Center for Field Research and School Services.
The Corrective Mathematics Services Program for Disadvantaged Pupils in Nonpublic Regular Day Schools, funded under Title I of the 1965 Elementary Secondary Education Act, was proposed to serve approximately 14,032 poverty area children who attended 165 non-public regular day schools. Those children were eligible for these services whose score on…
ERIC Educational Resources Information Center
Geist, Eugene A.; Geist, Kamile
2009-01-01
This action research project is designed as a music-based intervention to address and overcome some of the risk factors for low achievement in mathematics that research has linked to poverty level. The National Assessment of Educational Progress found that children who are eligible for school lunch programs in 4th grade score on average 13 points…
NASA Technical Reports Server (NTRS)
Heydorn, R. D.
1984-01-01
The Mathematical Pattern Recognition and Image Analysis (MPRIA) Project is concerned with basic research problems related to the study of the Earth from remotely sensed measurement of its surface characteristics. The program goal is to better understand how to analyze the digital image that represents the spatial, spectral, and temporal arrangement of these measurements for purposing of making selected inference about the Earth.
ERIC Educational Resources Information Center
Langbort, Carol, Ed.; Curtis, Deborah, Ed.
2000-01-01
The focus of this special issue is mathematics education. All articles were written by graduates of the new masters Degree program in which students earn a Master of Arts degree in Education with a concentration in Mathematics Education at San Francisco State University. Articles include: (1) "Developing Teacher-Leaders in a Masters Degree Program…
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…
NASA Astrophysics Data System (ADS)
Yin, Sisi; Nishi, Tatsushi
2014-11-01
Quantity discount policy is decision-making for trade-off prices between suppliers and manufacturers while production is changeable due to demand fluctuations in a real market. In this paper, quantity discount models which consider selection of contract suppliers, production quantity and inventory simultaneously are addressed. The supply chain planning problem with quantity discounts under demand uncertainty is formulated as a mixed-integer nonlinear programming problem (MINLP) with integral terms. We apply an outer-approximation method to solve MINLP problems. In order to improve the efficiency of the proposed method, the problem is reformulated as a stochastic model replacing the integral terms by using a normalisation technique. We present numerical examples to demonstrate the efficiency of the proposed method.
Investigating the Impact of Field Trips on Teachers' Mathematical Problem Posing
ERIC Educational Resources Information Center
Courtney, Scott A.; Caniglia, Joanne; Singh, Rashmi
2014-01-01
This study examines the impact of field trip experiences on teachers' mathematical problem posing. Teachers from a large urban public school system in the Midwest participated in a professional development program that incorporated experiential learning with mathematical problem formulation experiences. During 2 weeks of summer 2011, 68 teachers…
NASA Technical Reports Server (NTRS)
Heydorn, R. P.
1984-01-01
The Mathematical Pattern Recognition and Image Analysis (MPRIA) Project is concerned with basic research problems related to the study of he Earth from remotely sensed measurements of its surface characteristics. The program goal is to better understand how to analyze the digital image that represents the spatial, spectral, and temporal arrangement of these measurements for purposing of making selected inferences about the Earth. This report summarizes the progress that has been made toward this program goal by each of the principal investigators in the MPRIA Program.
ERIC Educational Resources Information Center
Ng, Dicky
2011-01-01
This study examines Indonesian primary teachers' mathematical knowledge for teaching geometry and what factors contribute to this knowledge. A translated and adapted version of the Learning Mathematics for Teaching measures and the Indonesian Educational Survey were used to gather information on teachers' knowledge for teaching geometry and their…
ERIC Educational Resources Information Center
South Dakota Dept. of Environmental Protection, Pierre.
This booklet is intended to aid the prospective waste treatment plant operator or drinking water plant operator in learning to solve mathematical problems, which is necessary for Class I certification. It deals with the basic mathematics which a Class I operator may require in accomplishing day-to-day tasks. The book also progresses into problems…
ERIC Educational Resources Information Center
Marshall, Neil; Buteau, Chantal
2014-01-01
As part of their undergraduate mathematics curriculum, students at Brock University learn to create and use computer-based tools with dynamic, visual interfaces, called Exploratory Objects, developed for the purpose of conducting pure or applied mathematical investigations. A student's Development Process Model of creating and using an Exploratory…
ERIC Educational Resources Information Center
Sworder, Steven
In 1989, a study was conducted of the mathematics assessment portion of the matriculation process at California's Saddleback College (SC). The two main purposes of the study were to examine student enrollment behavior in recommended mathematics courses as well as to compare the success rates of students who enrolled in the recommended courses with…
ERIC Educational Resources Information Center
Narode, Ronald
The recent increase in enrollments in college remedial mathematics courses makes clear the need for the development of pedagogy and curriculum which is tailored to this relatively new class of service courses. Besides the need for courses which teach basic skills in arithmentic, general mathematics, and elementary and intermediate algebra, a…
Early Numeracy Intervention Program for First-Grade Students with Mathematics Difficulties
ERIC Educational Resources Information Center
Bryant, Diane Pedrotty; Bryant, Brian R.; Roberts, Greg; Vaughn, Sharon; Pfannenstiel, Kathleen Hughes; Porterfield, Jennifer; Gersten, Russell
2011-01-01
The purpose of this study was to determine the effects of an early numeracy preventative Tier 2 intervention on the mathematics performance of first-grade students with mathematics difficulties. Researchers used a pretest-posttest control group design with randomized assignment of 139 students to the Tier 2 treatment condition and 65 students to…
A Study of Coordination Between Mathematics and Chemistry in the Pre-Technical Program.
ERIC Educational Resources Information Center
Loiseau, Roger A.
This research was undertaken to determine whether the mathematics course offered to students taking courses in chemical technology was adequate. Students in a regular class and an experimental class were given mathematics and chemistry pretests and posttests. The experimental class was taught using a syllabus designed to maximize the coherence…
School Mathematics and Science Programs Benefit from Instructional Technology. InfoBrief.
ERIC Educational Resources Information Center
Kulik, James A.
This report reviews 36 evaluation studies to examine the effects of instructional technology on mathematics and science learning. Four types of computer applications are explored and discussed: (1) integrated learning systems in mathematics; (2) computer tutorials in science; (3) computer simulations in science; and (4) microcomputer-based…
Incorporating Mathematics into the Science Program of Students Labeled "At-Risk"
ERIC Educational Resources Information Center
Seki, Judith M.; Menon, Ramakrishnan
2007-01-01
Twenty three at-risk high school female students who had failed mathematics and science in a traditional school setting were the subjects of this study that integrated mathematics and science lessons over a period of four weeks. Using a combination of direct instruction, calculations, graphing, hands-on projects, and discussion, the topic of…
NASA Astrophysics Data System (ADS)
Singer, J.; Ryan, J. G.
2012-12-01
The Transforming Undergraduate Education in Science, Technology, Engineering, and Mathematics (TUES) program seeks to improve the quality of science, technology, engineering, and mathematics (STEM) education for all undergraduate students. Activities supported by the TUES program include the creation, adaptation, and dissemination of learning materials and teaching strategies, development of faculty expertise, implementation of educational innovations, and research on STEM teaching and learning. The TUES program especially encourages projects that have the potential to transform undergraduate STEM education and active dissemination and building a community of users are critical components of TUES projects. To raise awareness about the TUES program and increase both the quality and quantity of proposals submitted by geoscientists to the program, information sessions and proposal writing retreats are being conducted. Digital resources developed especially for the geosciences community are available at www.buffalostate.edu/RTUGeoEd to share information about the TUES program and the many ways this NSF program supports innovation in geoscience education. This presentation also addresses identified impediments to submitting a TUES proposal and strategies for overcoming reasons discouraging geoscientists from preparing a proposal and/or resubmitting a declined proposal.
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…
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…
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
National Archives and Records Administration, 2006
2006-01-01
The Secretary is adopting as final, with changes, interim final regulations in: 34 CFR part 691 for the Academic Competitiveness Grant (ACG) and National Science and Mathematics Access to Retain Talent Grant (National SMART Grant) programs; 34 CFR part 668 (Student Assistance General Provisions); and 34 CFR part 690 (Federal Pell Grant Program).…
NASA Astrophysics Data System (ADS)
Gilchrist, Pamela O.; Carpenter, Eric D.; Gray-Battle, Asia
2014-07-01
A hybrid teacher professional development, student science technology mathematics and engineering pipeline enrichment program was operated by the reporting research group for the past 3 years. Overall, the program has reached 69 students from 13 counties in North Carolina and 57 teachers from 30 counties spread over a total of five states. Quantitative analysis of oral presentations given by participants at a program event is provided. Scores from multiple raters were averaged and used as a criterion in several regression analyses. Overall it was revealed that student grade point averages, most advanced science course taken, extra quality points earned in their most advanced science course taken, and posttest scores on a pilot research design survey were significant predictors of student oral presentation scores. Rationale for findings, opportunities for future research, and implications for the iterative development of the program are discussed.
Gumieniczek, Anna; Mączka, Paulina; Komsta, Łukasz; Pietraś, Rafał
2015-09-01
A new HPLC method was introduced and validated for simultaneous determination of perindopril and indapamide. Validation procedure included specificity, sensitivity, robustness, stability, linearity, precision and accuracy. The method was used for the dissolution test of perindopril and indapamide in three fixed-dose formulations. The dissolution procedure was optimized using different media, different pH of the buffer, surfactants, paddle speed and temperature. Similarity of dissolution profiles was estimated using different model-independent and model-dependent methods and, additionally, by principal component analysis (PCA). Also, some kinetic models were checked for dissolved amounts of drugs as a function of time. PMID:26431103
Not Available
1993-12-01
This teacher education program will provide a model for recruiting, educating and retaining high ability students to become mathematics and science lead teachers in elementary schools. The quality experiences and support provided these students will help them develop the knowledge and attitudes necessary to provide leadership for elementary mathematics and science programs. Students will have research experiences at the Ames Laboratory, high quality field experiences with nationally recognized mathematics and science teachers in local schools and opportunities to meaningfully connect these two experiences. This program, collaboratively designed and implemented by scientists, teacher educators and classroom teachers, should provide a replicatable model for other teacher education institutions. In addition, materials developed for the project should help other laboratories interface more effectively with K-8 schools and help other teacher education programs incorporate real science and mathematics experience into their curriculum.
UH-60A Black Hawk engineering simulation program. Volume 1: Mathematical model
NASA Technical Reports Server (NTRS)
Howlett, J. J.
1981-01-01
A nonlinear mathematical model of the UR-60A Black Hawk helicopter was developed. This mathematical model, which was based on the Sikorsky General Helicopter (Gen Hel) Flight Dynamics Simulation, provides NASA with an engineering simulation for performance and handling qualities evaluations. This mathematical model is total systems definition of the Black Hawk helicopter represented at a uniform level of sophistication considered necessary for handling qualities evaluations. The model is a total force, large angle representation in six rigid body degrees of freedom. Rotor blade flapping, lagging, and hub rotational degrees of freedom are also represented. In addition to the basic helicopter modules, supportive modules were defined for the landing interface, power unit, ground effects, and gust penetration. Information defining the cockpit environment relevant to pilot in the loop simulation is presented.
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
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…
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.
Experimenting with Mathematical Biology
ERIC Educational Resources Information Center
Sanft, Rebecca; Walter, Anne
2016-01-01
St. Olaf College recently added a Mathematical Biology concentration to its curriculum. The core course, Mathematics of Biology, was redesigned to include a wet laboratory. The lab classes required students to collect data and implement the essential modeling techniques of formulation, implementation, validation, and analysis. The four labs…
NASA Astrophysics Data System (ADS)
Rohrlich, Fritz
2011-12-01
Classical and the quantum mechanical sciences are in essential need of mathematics. Only thus can the laws of nature be formulated quantitatively permitting quantitative predictions. Mathematics also facilitates extrapolations. But classical and quantum sciences differ in essential ways: they follow different laws of logic, Aristotelian and non-Aristotelian logics, respectively. These are explicated.
NAEP 1992 Mathematics State Report for Hawaii. The Trial State Assessment Program.
ERIC Educational Resources Information Center
National Assessment of Educational Progress, Princeton, NJ.
In 1990, the National Assessment of Educational Progress (NAEP) included a Trial State Assessment which, for the first time in the NAEP's history, made voluntary state-by-state assessments. This 1992 mathematics report marks the first attempt of the National Center for Education Statistics (NCES) to shift to standards-based reporting of National…
Technical Report of the NAEP 1992 Trial State Assessment Program in Mathematics.
ERIC Educational Resources Information Center
Johnson, Eugene G.; And Others
The "Nation's Report Card," the National Assessment of Educational Progress (NAEP), is the only nationally representative and continuing assessment of what America's students know and can do in various subject areas. This report summarizes some of the sophisticated statistical methodology used in the 1992 Trial State Assessment of Mathematics.…
Building Counting by Traditional Game: A Mathematics Program for Young Children
ERIC Educational Resources Information Center
Nasrullah; Zulkardi
2011-01-01
In line with design research, the use of Bermain Satu Rumah (BSR) as traditional game to support children's counting classroom wherein students are encouraged to construct mathematical understanding. Number in traditional games is an interesting aspect that is helpful for children to encounter numerous situations that bring them into contact with…
A Supplementary Program for Environmental Education, Mathematics, Grade 5-6.
ERIC Educational Resources Information Center
Warpinski, Robert
Presented in these teacher's guides for grades five and six are lesson plans and ideas for integrating mathematics and environmental education. Each lesson originates with a fundamental concept pertaining to the environment and states, in addition, its discipline area, subject area, and problem orientation. Following this, behavioral objectives…
A Supplementary Program for Environmental Education, Mathematics, Grade 2-4.
ERIC Educational Resources Information Center
Warpinski, Robert
Presented in these teacher's guides for grades two through four are lesson plans and ideas for integrating mathematics and environmental education. Each lesson originates with a fundamental concept pertaining to the environment and states, in addition, its discipline area, subject area, and problem orientation. Following this, behavioral…
A Supplementary Program for Environmental Education, Mathematics, Grade 7-8.
ERIC Educational Resources Information Center
Warpinski, Robert
Presented in these teacher's guides for grades seven and eight are lesson plans and ideas for integrating mathematics and environmental education. Each lesson originates with a fundamental concept pertaining to the environment and states, in addition, its discipline area, subject area, and problem orientation. Following this, behavioral objectives…
A Supplementary Program for Environmental Education, Mathematics, Grade 10-12.
ERIC Educational Resources Information Center
Warpinski, Robert
Presented in this teacher's guide for grades 10-12 are lesson plans and ideas for integrating mathematics and environmental education. Each lesson originates with a fundamental concept pertaining to the environment and states, in addition, its discipline area, subject area, and problem orientation. Following this, behavioral objectives and…
Analysis of Self-Directed Learning upon Student of Mathematics Education Study Program
ERIC Educational Resources Information Center
Kleden, Maria Agustina
2015-01-01
Various studies have rendered self-directed learning disposition to be significant in the learning of mathematics, however several previous studies have pointed the level of self-directed learning disposition to be at a low point. This research is aimed to enhance self-directed learning through implementing a metacognitive strategy in learning…
Training Program for Teachers of Technical Mathematics in Two-Year Curricula.
ERIC Educational Resources Information Center
Queensborough Community Coll., Bayside, NY.
This handbook is designed to assist teachers of technical mathematics in developing practically-oriented curricula for their students. The underlying assumption is that, while technology students are not a breed apart, their needs and orientation are to the concrete, rather than the abstract. It describes the nature, scope, and content of…
ERIC Educational Resources Information Center
Martinez, Alina; Cosentino de Cohen, Clemencia
2010-01-01
This report presents findings from a NASA requested evaluation in 2008, which contains both implementation and impact modules. The implementation study investigated how sites implement Science, Engineering, Mathematics, and Aerospace Academy (SEMAA) and the contextual factors important in this implementation. The implementation study used data…
ERIC Educational Resources Information Center
Bernardo, Jonathan Christian Amor
2013-01-01
The purpose of this study was to compare the mathematics achievement outcomes of 3rd grade students from some Pacific Island elementary schools that use 1 of 3 different modes of instruction: Direct Instruction (DI), Success for All (SFA), and noncomprehensive school reform (non-CSR). The need for this research stems from the large proportion of…
Inside the UTeach Program: Implications for Research in Mathematics Teacher Education
ERIC Educational Resources Information Center
Wasserman, Nicholas H.
2010-01-01
As the national impetus to advance education continues to look toward improving the teachers sent into the classroom, more research needs to be done to in the area of mathematics teacher education. A number of recent studies have summarized, synthesized, and developed useful information about what should be viewed as important in mathematics…
ERIC Educational Resources Information Center
Ejiwale, James A.
2014-01-01
Collaboration plays a major role in interdisciplinary activities among Science, Technology, Engineering & Mathematics (STEM) disciplines or fields. It also affects the relationships among cluster members on the management team. Although effective collaboration does not guarantee success among STEM disciplines, its absence usually assures…
Basic Mathematics, Programmed Text. Edition 9. Engineer Subcourse 120-9.
ERIC Educational Resources Information Center
Army Engineer School, Fort Belvoir, VA.
This course is designed to teach the student to perform basic mathematics operations correctly. It consists of seven lessons and an examination as follows: Introduction to Arithmetic and Whole Numbers, Common Franctions, Decimals, Unit Conversion, Ratios and Proportions, Percentage, Powers and Roots, and the examination. The course uses the…
ERIC Educational Resources Information Center
Kang, Hyun Jung
2012-01-01
Drawing on Lave and Wenger (1991) this study explores how preservice elementary teachers develop themselves as teachers of mathematics, in particular, from the time of their teacher education courses to their field experiences. This study also researches the critical experiences that contributed to the construction of their identities and their…
ERIC Educational Resources Information Center
Blank, Rolf K.; Roeber, Edward
Since the authorization of the use of the National Assessment of Educational Progress (NAEP) through the Trial State Assessment to provide state-based data, debate over the proposed expansion of the NAEP has strengthened. To assist states in analyzing and interpreting 1990 data on eighth-grade mathematics and to assist in planning subsequent NAEP…
ERIC Educational Resources Information Center
Kaser, Joyce S.
2010-01-01
Based on the data gathered and the interviews with administrators, the author makes the following suggestions. These twelve recommendations are targeted primarily toward educators wanting to strengthen their own mathematics and science offerings, possibly by establishing a school-within-a school or launching a charter school. The recommendations…
Integrating Mathematics, Science, and Language: An Instructional Program (Volume 2, Grades 2-3).
ERIC Educational Resources Information Center
Southwest Educational Development Lab., Austin, TX.
The curriculum and resource guide for integrating mathematics, science, and English-as-a-Second-Language instruction is designed to help elementary school teachers organize classrooms and instructional activities to improve achievement of Hispanic children whose first language is not English. It offers a curriculum plan, instructional strategies…
Applied analysis/computational mathematics. Final report 1993
Lax, P.; Berger, M.
1993-12-01
This is the final report for the Courant Mathematics and Computing Laboratory (CMCL) research program for the years 1991--1993. Our research efforts encompass the formulation of physical problems in terms of mathematical models (both old and new), the mathematical analysis of such models, and their numerical resolution. This last step involves the development and implementation of efficient methods for large scale computation. Our analytic and numerical work often go hand in hand; new theoretical approaches often have numerical counterparts, while numerical experimentation often suggests avenues for analytical investigation.
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…
1997-12-31
The conference focused on computational and modeling issues in the geosciences. Of the geosciences, problems associated with phenomena occurring in the earth`s subsurface were best represented. Topics in this area included petroleum recovery, ground water contamination and remediation, seismic imaging, parameter estimation, upscaling, geostatistical heterogeneity, reservoir and aquifer characterization, optimal well placement and pumping strategies, and geochemistry. Additional sessions were devoted to the atmosphere, surface water and oceans. The central mathematical themes included computational algorithms and numerical analysis, parallel computing, mathematical analysis of partial differential equations, statistical and stochastic methods, optimization, inversion, homogenization and renormalization. The problem areas discussed at this conference are of considerable national importance, with the increasing importance of environmental issues, global change, remediation of waste sites, declining domestic energy sources and an increasing reliance on producing the most out of established oil reservoirs.
Mathematical Modeling of Diverse Phenomena
NASA Technical Reports Server (NTRS)
Howard, J. C.
1979-01-01
Tensor calculus is applied to the formulation of mathematical models of diverse phenomena. Aeronautics, fluid dynamics, and cosmology are among the areas of application. The feasibility of combining tensor methods and computer capability to formulate problems is demonstrated. The techniques described are an attempt to simplify the formulation of mathematical models by reducing the modeling process to a series of routine operations, which can be performed either manually or by computer.
ERIC Educational Resources Information Center
Thornton, Steve; Giles, Wendy; Prescott, Debbie; Rhodes, David
2011-01-01
This paper reports on the efficacy of an accelerated teacher education program ("Growing Our Own") focused in remote Indigenous communities in the Northern Territory. The program is a joint initiative of Charles Darwin University and the Northern Territory Catholic Education Office, providing an intensive two-year program designed to educate…
Whyte, H.
1985-01-01
The Laboratory has been offering in-house training to improve basic mathematics skills since 1979. The eight module math continuum is structured so that it can successfully identify and correct basic skills and knowledge deficiencies of Los Alamos National Laboratory technician employees. The Laboratory has also designed a training program in chemistry that has been offered since 1981. The chemistry continuum is composed of nine modules that are based on a practical laboratory approach. The target group of chemical technician employees has some deficiencies in basic chemistry skills and knowledge resulting in motivation problems and some implications for laboratory safety. The development and interrelationships of these two programs will be discussed in terms of job performance analysis, task analysis, training design, and performance measures. The results, revisions, and comments from past participants will also be shared. 5 references, 4 figures, 4 tables.
ERIC Educational Resources Information Center
Feng, Chuan C.
Reported is the Cooperative College-School Science Program in Computing Science Education which was conducted by the University of Colorado Department of Civil Engineering in the summer of 1967. The program consisted of two five-week terms. The course work was composed of two formal lecture courses in Computer Related Mathematics and Computer…
ERIC Educational Resources Information Center
Seo, You-Jin; Woo, Honguk
2010-01-01
Critical user interface design features of computer-assisted instruction programs in mathematics for students with learning disabilities and corresponding implementation guidelines were identified in this study. Based on the identified features and guidelines, a multimedia computer-assisted instruction program, "Math Explorer", which delivers…
ERIC Educational Resources Information Center
Stein, David; Ostrander, Peter; Lee, G. Maie
2016-01-01
The Magnet Program at Montgomery Blair High School is an application-based magnet program utilizing a curriculum focused on science, mathematics, and computer science catering to interested, talented, and eager to learn students in Montgomery County, Maryland. This article identifies and discusses some of the unique aspects of the Magnet Program…
ERIC Educational Resources Information Center
Korkmaz, Özgen
2016-01-01
The aim of this study was to investigate the effect of the Scratch and Lego Mindstorms Ev3 programming activities on academic achievement with respect to computer programming, and on the problem-solving and logical-mathematical thinking skills of students. This study was a semi-experimental, pretest-posttest study with two experimental groups and…
Benavides, M; Rhoades, R E
1987-06-01
The present article examines attempts to develop and introduce formulated foods, or mixes, to low-income populations in Lima, Peru's Pueblos Jóvenes (squatter settlements). It discusses how socioeconomic conditions, dietary patterns, and economic pressures often mitigate against consumer acceptance. An alternative approach which stresses a prediagnostic study of clients' needs and careful monitoring of product development with consumer input is suggested.
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.
ERIC Educational Resources Information Center
Aydin, Emin
2005-01-01
The purpose of this study is to review the changes that computers have on mathematics itself and on mathematics curriculum. The study aims at investigating different applications of computers in education in general, and mathematics education in particular and their applications on mathematics curriculum and on teaching and learning of…
ERIC Educational Resources Information Center
Ketelhut, Diane Jass; Newton, Kristie Jones
2011-01-01
As part of a grant-funded project, the authors have designed an alternative certification program, E = mc[superscript 2], funded by U.S. Department of Education under its Transition to Teaching Program. Before beginning their student teaching, participants conduct observations, interviews, tutoring, small group instruction, and isolated whole…
Evaluative Case Study on the Efficacy of the ELPS Program in Mathematics
ERIC Educational Resources Information Center
Perez, Malia Ann
2013-01-01
The English Language Proficiency Standards (ELPS) program was developed to address the need to effectively integrate second language acquisition with quality content area instruction. English language learners (ELLs) have struggled on standardized tests and there has been little empirical evidence regarding the impact of the ELPS program on…
NASA Astrophysics Data System (ADS)
Pierce, Donna M.; Radencic, Sarah P.; Walker, Ryan M.; Cartwright, John H.; Schmitz, Darrel W.; Bruce, Lori M.; McNeal, Karen S.
2014-11-01
Initiating New Science Partnerships in Rural Education (INSPIRE) is a five-year partnership between Mississippi State University and three school districts in Mississippi’s Golden Triangle region. This fellowship program is designed to strengthen the communication and scientific reasoning skills of STEM graduate students by having them design and implement inquiry-based lessons which channel various aspects of their research in our partner classrooms. Fellows are encouraged to explore a diversity of approaches in classroom lesson design and to use various technologies in their lessons, including GIS, SkyMaster weather stations, Celestia, proscopes, benchtop SEM, and others. Prior to entering the classrooms for a full school year, Fellows go through an intense graduate-level training course and work directly with their partner teachers, the program coordinator, and participating faculty, to fold their lessons into the curricula of the classrooms to which they’ve been assigned. Here, we will discuss the various written, oral, and visual exercises that have been most effective for training our Fellows, including group discussions of education literature, role playing and team-building exercises, preparation of written lesson plans for dissemination to other teachers nationwide, the Presentation Boot Camp program, and production of videos made by the Fellows highlighting careers in STEM fields. We will also discuss the changes observed in Fellows’ abilities to communicate science and mathematics over the course of their fellowship year. INSPIRE is funded by the NSF Graduate K-12 (GK-12) STEM Fellowship Program, award number DGE-0947419.
Formulation of image quality prediction criteria for the Viking lander camera
NASA Technical Reports Server (NTRS)
Huck, F. O.; Jobson, D. J.; Taylor, E. J.; Wall, S. D.
1973-01-01
Image quality criteria are defined and mathematically formulated for the prediction computer program which is to be developed for the Viking lander imaging experiment. The general objective of broad-band (black and white) imagery to resolve small spatial details and slopes is formulated as the detectability of a right-circular cone with surface properties of the surrounding terrain. The general objective of narrow-band (color and near-infrared) imagery to observe spectral characteristics if formulated as the minimum detectable albedo variation. The general goal to encompass, but not exceed, the range of the scene radiance distribution within single, commandable, camera dynamic range setting is also considered.
Pursell, David P
2009-01-01
BIO2010 advocates enhancing the interdisciplinary, mathematics, and physical science components of the undergraduate biology curriculum. The Department of Chemistry and Life Science at West Point responded by developing a required physical chemistry course tailored to the interests of life science majors. To overcome student resistance to physical chemistry, students were enabled as long-term stakeholders who would shape the syllabus by selecting life science topics of interest to them. The initial 2 yr of assessment indicates that students have a positive view of the course, feel they have succeeded in achieving course outcome goals, and that the course is relevant to their professional future. Instructor assessment of student outcome goal achievement via performance on exams and labs is comparable to that of students in traditional physical chemistry courses. Perhaps more noteworthy, both student and instructor assessment indicate positive trends from year 1 to year 2, presumably due to the student stakeholder effect.
NASA Astrophysics Data System (ADS)
Duan, Zhenyun; Chen, Houjun; Ju, Zhilan; Liu, Jian
2012-09-01
In this paper, loxodromic-type normal circulararc spiral bevel gear is proposed as a novel application of the circular-arc tooth profile at the gear transmission with intersecting axes. Based on the principle of molding-surface conjugation, the study develops a mathematical model for the tooth alignment curve and the computational flow at the design stage to enable the generation of the tooth surface. Machining of the tooth surface is then carried out to determine the interference-free tool path of the numerical control (NC). Moreover, a pair of loxodromic-type normal circular-arc spiral bevel gears is manufactured on computer numerical control (CNC) machine tools. The proposed theory and method are experimentally investigated, and the obtained results primarily reflect the superior performance of the proposed novel gear.
Benavides, M; Rhoades, R E
1987-06-01
The present article examines attempts to develop and introduce formulated foods, or mixes, to low-income populations in Lima, Peru's Pueblos Jóvenes (squatter settlements). It discusses how socioeconomic conditions, dietary patterns, and economic pressures often mitigate against consumer acceptance. An alternative approach which stresses a prediagnostic study of clients' needs and careful monitoring of product development with consumer input is suggested. PMID:3455182
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.
The User-Oriented Evaluator's Role in Formulating a Program Theory: Using a Theory-Driven Approach
ERIC Educational Resources Information Center
Christie, Christina A.; Alkin, Marvin C.
2003-01-01
Program theory plays a prominent role in many evaluations, not only in theory-driven evaluations. This paper presents a case study of the process of developing and refining a program's theory within a user-oriented evaluation. In user-oriented (or utilization-focused) evaluations, primary users can play a role in defining their own program theory.…
NASA Astrophysics Data System (ADS)
Arnold, Lynette; Lawson, Michael
2003-09-01
Strong claims have been made about the ability of Interactive Multimedia (IMM) programs to positively affect student learning outcomes. This study sought to evaluate the design of a specific IMM program, Working Mathematically: Space, and to see if use of the program would promote student learning in spatial mathematics when compared to non-computer based instruction. An evaluative framework was established to facilitate examination of program design and focussed attention on the technical and cognitive interaction between student and program. Subsequent investigation focused on the impact of the software use on Year 7 students' problem-solving processes, their spatial mathematics performance, and student-to-student interaction in teacher supported and unsupported learning environments. Use of the IMM program was not associated with any gain in problem-solving performance when compared with the use of small blocks to solve a tower-building task. The IMM program did, however, result in increased frequency of low-level interaction between student pairs, which appeared to be associated with the technical design of the software. Several aspects of the design seemed to negatively impact on the processing events undertaken by students. Although the results of this study are limited to the detailed examination of one task using one IMM program, the outcomes of the evaluation point to areas that should be of concern to program developers and teachers.
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
Sheng, Y.P.
1983-09-01
A comprehensive model of Coastal currents and sediment dispersion has been formulated and applied to the Mississippi Sound and adjacent continental shelf waters. The study combines mathematical modeling of various hydrodynamic and sedimentary processes with laboratory and field experiments. Of primary importance is the development of an efficient and comprehensive three-dimensional, finite-difference model of coastal, estuarine, and lake currents (CELC3D). The model resolves currents driven by tide, wind, and density gradient. It has been applied to the Mississippi Sound, and results agree well with measured surface displacements and currents during two episodes. Rates of entrainment and deposition of the Mississippi Sound sediments have been studied in a laboratory flume. Effects of (1) bottom shear stress, (2) bed properties, (3) salinity of water, and (4) sediment type on the erodability of sediments have been examined. Results of the laboratory study have been incorporated into the bottom boundary conditions for a three-dimensional sediment dispersion model. Gravitational settling and particle size distribution of the Mississippi Sound sediments were also studied in laboratories. Bottom boundary layer dynamics and wave effect on sediment dispersion have been studied by means of a turbulent transport model and a wave model. Model simulations of sediment dispersion in the Mississippi Sound agree well available data from ship surveys.
NASA Astrophysics Data System (ADS)
Williams-Duncan, Omah Makebbe
State curriculum and professional standards characterize the level of proficiency pre-service teachers must attain to be prepared to teach in Texas classrooms. Teacher education programs are being scrutinized for their ability to help pre-service teachers reach a level of proficiency commensurate with these state standards. This dissertation presents an understanding of a teacher education program's quality via analysis of its current student teacher and former student perceptions. There are two participant groups in this study - current student teachers (n=11) and former students (n=78) from one program called, aggieTEACH, a traditional baccalaureate secondary mathematics and science teacher education program. Of the current student teachers and former students participating in this study, 77.5% (n = 69) were female, 21.3% (n = 19) were male and 1.1% (n = 1) did not disclose their gender; additionally, 80.9% (n = 72) identify as white or Caucasian, 9% (n = 8) identify as Hispanic, 7.8% (n = 7) identifying as African American, Asian, or other, and 2.2% (n = 2) decided not to disclose their race. This mixed methods study reveals participant's agreement and confidence levels in mentoring, confidence, TEP quality, and program characteristics of aggieTEACH. The researcher used principal components analysis, exploratory factor analysis, and content analysis to review secondary data from administered web-based surveys. The surveys have Likert-scaled, single-response items and open-ended response items. Specific survey items were identified per categories called (a) mentoring, (b) confidence, (c) TEP quality, and (d) program characteristics. The mentoring scale yielded an alpha of .903. The confidence subscale yielded an alpha .951. The quality items yielded an alpha .881 and the characteristics items yielded an alpha of .919. Significant differences occurred between current student teacher and former student participants' agreement and confidence levels about the teacher
NASA Astrophysics Data System (ADS)
Flores, Ramon
This study used a web-based survey collected data from 28 first-generation Latino engineers who participated in the Mathematics, Engineering, Science, Achievement (MESA) program during their high school years. From the set of 28 respondents, 5 volunteered to participate in an optional telephone interview. The purpose of this study was to describe the critical attributes and characteristics of the MESA program that lead to success at both the high school and college levels for first-generation Latino students. Success at the high school level was operationally defined as successfully graduating with a high school diploma. Success at the college level was operationally defined here as college graduation with an engineering degree. Using a mixed-methods technique, the researcher attempted to secure consensus of opinion from a sample population of 28 first-generation Latino engineers. The mixed-methods technique was chosen since it allowed the researcher to draw on the strengths of quantitative and qualitative approaches. According to the findings, the typical respondent felt that mentoring was the attribute of the MESA program that most prepared him to graduate from high school. The respondents felt that the following MESA attributes most helped them transition into an undergraduate engineering program: Academic and University Advising; Enrichment Activities; Career Advising; Field Trips; Mentoring; Scholarship Incentive Awards; and Speakers. The respondents viewed study groups as the MESA attribute that best prepared them to graduate college with an engineering degree. This study was purposefully designed as a descriptive study. Future research is required to extend this work into an evaluative study. This would allow for the generalization of the critical attributes to the general student population serviced by the MESA program.
Discovering Mathematical Talent. ERIC Digest #E482.
ERIC Educational Resources Information Center
Miller, Richard C.
This digest offers guidance in identifying and nurturing mathematical talent in children. Mathematical talent is defined and the characteristics of mathematically talented students are listed. Some mathematically talented students do not achieve well in school mathematics due to a mismatch between the student and the mathematics program. Ways that…
NASA Technical Reports Server (NTRS)
Lee, C. H.
1978-01-01
A 3-D finite element program capable of simulating the dynamic behavior in the vicinity of the impact point, together with predicting the dynamic response in the remaining part of the structural component subjected to high velocity impact is discussed. The finite algorithm is formulated in a general moving coordinate system. In the vicinity of the impact point contained by a moving failure front, the relative velocity of the coordinate system will approach the material particle velocity. The dynamic behavior inside the region is described by Eulerian formulation based on a hydroelasto-viscoplastic model. The failure front which can be regarded as the boundary of the impact zone is described by a transition layer. The layer changes the representation from the Eulerian mode to the Lagrangian mode outside the failure front by varying the relative velocity of the coordinate system to zero. The dynamic response in the remaining part of the structure described by the Lagrangian formulation is treated using advanced structural analysis. An interfacing algorithm for coupling CELFE with NASTRAN is constructed to provide computational capabilities for large structures.
ERIC Educational Resources Information Center
Stanford Univ., CA. School Mathematics Study Group.
Transformation geometry topics are covered in one chapter of Unit 11 of this SMSG series. Work with translations, reflections, rotations, and composition of motions is included; vectors are briefly discussed. The chapter on computers and programming deals with recent history and uses of of the computer, organization of a digital computer, an…
A Value-Added Study of a Federal Grant Program in Mathematics for Military Dependent Students
ERIC Educational Resources Information Center
Marquand, Jay C.
2013-01-01
Closing the achievement gap in public education means all students are expected to be learning at grade level. In response to federal mandates requiring schools to attain specific student achievement benchmarks, many schools are placing greater resources into support programs designed to increase student achievement. Military dependent students…
ViPLab: A Virtual Programming Laboratory for Mathematics and Engineering
ERIC Educational Resources Information Center
Richter, Thomas; Rudlof, Stephan; Adjibadji, B.; Bernlohr, Heiko; Gruninger, Christoph; Munz, Claus-Dieter; Stock, Andreas; Rohde, Christian; Helmig, Rainer
2012-01-01
Purpose: In the process of the implementation of the eBologna program and the recent change of the university system, curricula at German universities have been redesigned; courses have been condensed and learning content has been re-structured into modules, each of which requires an evaluation. Simultaneously, skills required for working in…
ERIC Educational Resources Information Center
Wharton, Felicia O.
2010-01-01
This study explores the use of cogenerative dialogue (cogen) in an Adult Basic Education (ABE) program located in New York City, and the ways in which students and teachers collaborated to cogenerate resources that afforded a positive and equitable learning environment built on solidarity and new perspectives on teaching and learning of…
ERIC Educational Resources Information Center
Kroeger, Lori A.; Brown, Rhonda Douglas; O'Brien, Beth A.
2012-01-01
Research Findings: This article describes major theories and research on math cognition across the fields of neuroscience, cognitive psychology, and education and connects these literatures to intervention practices. Commercially available math intervention programs were identified and evaluated using the following questions: (a) Did neuroscience…
ERIC Educational Resources Information Center
Karagiannis, P.; Markelis, I.; Paparrizos, K.; Samaras, N.; Sifaleras, A.
2006-01-01
This paper presents new web-based educational software (webNetPro) for "Linear Network Programming." It includes many algorithms for "Network Optimization" problems, such as shortest path problems, minimum spanning tree problems, maximum flow problems and other search algorithms. Therefore, webNetPro can assist the teaching process of courses such…
THE USE OF MATHEMATICAL PROGRAMING TO SOLVE CERTAIN PROBLEMS IN PUBLIC SCHOOL TRANSPORTATION.
ERIC Educational Resources Information Center
BOYER, ROSCOE A.
A PROGRAM THAT WOULD DEVISE OPTIMAL ROUTES FOR SCHOOL BUSES WAS DEVELOPED. ONE OF THE TWO MODELS DEVELOPED FOR THIS STUDY, CALLED THE HEURISTIC MODEL, WAS A HAND PROCEDURE BASED ON THE ASSUMPTION THAT, IN AN EFFICIENT SCHOOL BUS SYSTEM, STUDENT MILES SHOULD BE MINIMIZED RATHER THAN BUS MILES. THE OTHER MODEL WAS DESIGNED TO BE USED WITH HIGH SPEED…
On Synchronous Distance Teaching in a Mathematics MS (Master of Science) Program
ERIC Educational Resources Information Center
Li, Kuiyuan; Amin, Raid; Uvah, Josaphat
2011-01-01
A fully online graduate program that was developed at the UWF (University of West Florida) has been successfully implemented using synchronous instruction since fall 2009. The hybrid nature of the developed model has proven to be of benefit to both face-to-face and distance students. Aside from the robustness of students' discussions and…
ERIC Educational Resources Information Center
Johnson, Michael H.
2012-01-01
This mixed-methodological study explored the factors that predict a student's likelihood to complete an undergraduate program in a STEM discipline at one campus reliant upon that mission. Offered in response to a national imperative for the U.S. to compete globally, researchers contend educators must better prepare a STEM foundation and…
NASA Astrophysics Data System (ADS)
Chernyaev, Yu. A.
2016-03-01
A numerical algorithm for minimizing a convex function on a smooth surface is proposed. The algorithm is based on reducing the original problem to a sequence of convex programming problems. Necessary extremum conditions are examined, and the convergence of the algorithm is analyzed.
Evaluation of a Mathematics Program for Preprimary Children in Rural Bangladesh
ERIC Educational Resources Information Center
Opel, Aftab; Zaman, Syeda Sazia; Khanom, Ferdousi; Aboud, Frances E.
2012-01-01
A randomized evaluation of a 9-month comprehensive math program for preprimary Bangladeshi school children addressed skills such as numbers, measurement, shapes, patterns, and space. Nine schools were randomly selected for the Intervention group and nine for the Control group, with 12 children randomly selected from each to participate in testing.…
One-to-One Laptop Programs: Is Transformation Occurring in Mathematics Teaching?
ERIC Educational Resources Information Center
Blackley, Susan; Walker, Rebecca
2015-01-01
There is a body of research around the uptake of digital technologies in secondary schools, and a growing body of research specifically designed to investigate the use of one-to-one laptop programs. However this research focused on the initial uptake of the digital technology or initial implementation of a one-to-one (1:1) laptop policy. Given the…
Academic-Centered Peer Interactions and Retention in Undergraduate Mathematics Programs
ERIC Educational Resources Information Center
Callahan, Kadian M.
2009-01-01
Peer interactions are a critical component of students' academic success and retention in undergraduate programs. Scholars argue that peer interactions influence students' cognitive development, identity development, self-confidence and self-efficacy, and social and academic integration into the university environment (Pascarella & Terenzini,…
ERIC Educational Resources Information Center
Wang, Aubrey H.; Firmender, Janine M.; Power, Joshua R.; Byrnes, James P.
2016-01-01
Research Findings: The early childhood years are critical in developing early mathematics skills, but the opportunities one has to learn mathematics tend to be limited, preventing the development of significant mathematics learning. By conducting a meta-analysis of 29 experimental and quasi-experimental studies that have been published since 2000,…
Formulating and Solving Problems in Computational Chemistry.
ERIC Educational Resources Information Center
Norris, A. C.
1980-01-01
Considered are the main elements of computational chemistry problems and how these elements can be used to formulate the problems mathematically. Techniques that are useful in devising an appropriate solution are also considered. (Author/TG)
Computer simulation program is adaptable to industrial processes
NASA Technical Reports Server (NTRS)
Schultz, F. E.
1966-01-01
The Reaction kinetics ablation program /REKAP/, developed to simulate ablation of various materials, provides mathematical formulations for computer programs which can simulate certain industrial processes. The programs are based on the use of nonsymmetrical difference equations that are employed to solve complex partial differential equation systems.
Wing shape optimization for maximum cross-country speed, with mathematical programming
NASA Technical Reports Server (NTRS)
Helwig, G.
1979-01-01
A computer program was developed to calculate numerically the speed and circling polars of an aircraft when the lift and drag characteristics of the wing airfoils are known. The planform of the wing is described by variables which are optimized so that the cross-country speed of the glider is maximum for the particular type of thermal model. Two thermal models are compared and shown that with a greater wing area than now normally used the performance can be increased.
ERIC Educational Resources Information Center
Jiménez, Verónica A.; Acuña, Fabiola C.; Quiero, Felipe J.; López, Margarita; Zahn, Carmen I.
2015-01-01
This work describes the preliminary results of a tutoring program that provides personalized academic assistance to first-year undergraduates enrolled in introductory chemistry, physics and mathematics courses at Universidad Andres Bello (UNAB), in Concepción, Chile. Intervened courses have historically large enrolments, diverse student population…
ERIC Educational Resources Information Center
Flores, Margaret M.; Kaylor, Maria
2007-01-01
The current exploratory study investigated the effects of a Direct Instruction program implemented with middle school students identified as at-risk for failure in mathematics. Direct Instruction has typically been implemented with students with disabilities in separate special education settings. However, this study examined the extent to which…
ERIC Educational Resources Information Center
Moench, Laurel
The Program for Learning in Accordance with Needs (PLAN) is characterized by a completely individualized pattern of organization. It employs multiple textbooks and materials which cross grade level lines, subject matter area lines, and teacher-pupil lines. It places particular emphasis on a high concentration of modern mathematics content. The…
ERIC Educational Resources Information Center
Watt, Kamala
2011-01-01
The researcher examined the effects of two alternative instructional methods, Programmed Learning Sequenced (PLS) and Interactive Whiteboard (IWB), on the mathematics achievement and attitude of eighth graders. The relationship between specific Dunn & Dunn learning-style elements and the posttest scores after instruction with the PLS and IWB was…
Technology Transfer Automated Retrieval System (TEKTRAN)
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...
NASA Technical Reports Server (NTRS)
Brauer, G. L.; Habeger, A. R.; Stevenson, R.
1974-01-01
The basic equations and models used in a computer program (6D POST) to optimize simulated trajectories with six degrees of freedom were documented. The 6D POST program was conceived as a direct extension of the program POST, which dealt with point masses, and considers the general motion of a rigid body with six degrees of freedom. It may be used to solve a wide variety of atmospheric flight mechanics and orbital transfer problems for powered or unpowered vehicles operating near a rotating oblate planet. Its principal features are: an easy to use NAMELIST type input procedure, an integrated set of Flight Control System (FCS) modules, and a general-purpose discrete parameter targeting and optimization capability. It was written in FORTRAN 4 for the CDC 6000 series computers.
ERIC Educational Resources Information Center
Brown, James M.; And Others
The literature and prior research findings support the belief that motivation-related strategies must be developed to support at-risk learners in postsecondary vocational programs. Essentially, two fundamental approaches have been used to conceptualize motivation. Mechanistic approaches ignore the thinking processes of humans and stress the…
ERIC Educational Resources Information Center
Wholeben, Brent Edward
A rationale is presented for viewing the decision-making process inherent in determining budget reductions for educational programs as most effectively modeled by a graduated funding approach. The major tenets of the graduated budget reduction approach to educational fiscal policy include the development of multiple alternative reduction plans, or…
Bennett, Laura; Kittas, Aristotelis; Liu, Songsong; Papageorgiou, Lazaros G.; Tsoka, Sophia
2014-01-01
Community structure detection has proven to be important in revealing the underlying properties of complex networks. The standard problem, where a partition of disjoint communities is sought, has been continually adapted to offer more realistic models of interactions in these systems. Here, a two-step procedure is outlined for exploring the concept of overlapping communities. First, a hard partition is detected by employing existing methodologies. We then propose a novel mixed integer non linear programming (MINLP) model, known as OverMod, which transforms disjoint communities to overlapping. The procedure is evaluated through its application to protein-protein interaction (PPI) networks of the rat, E. coli, yeast and human organisms. Connector nodes of hard partitions exhibit topological and functional properties indicative of their suitability as candidates for multiple module membership. OverMod identifies two types of connector nodes, inter and intra-connector, each with their own particular characteristics pertaining to their topological and functional role in the organisation of the network. Inter-connector proteins are shown to be highly conserved proteins participating in pathways that control essential cellular processes, such as proliferation, differentiation and apoptosis and their differences with intra-connectors is highlighted. Many of these proteins are shown to possess multiple roles of distinct nature through their participation in different network modules, setting them apart from proteins that are simply ‘hubs’, i.e. proteins with many interaction partners but with a more specific biochemical role. PMID:25412367
NASA Astrophysics Data System (ADS)
Murari, A.; Peluso, E.; Gelfusa, M.; Lupelli, I.; Lungaroni, M.; Gaudio, P.
2015-01-01
Many measurements are required to control thermonuclear plasmas and to fully exploit them scientifically. In the last years JET has shown the potential to generate about 50 GB of data per shot. These amounts of data require more sophisticated data analysis methodologies to perform correct inference and various techniques have been recently developed in this respect. The present paper covers a new methodology to extract mathematical models directly from the data without any a priori assumption about their expression. The approach, based on symbolic regression via genetic programming, is exemplified using the data of the International Tokamak Physics Activity database for the energy confinement time. The best obtained scaling laws are not in power law form and suggest a revisiting of the extrapolation to ITER. Indeed the best non-power law scalings predict confinement times in ITER approximately between 2 and 3 s. On the other hand, more comprehensive and better databases are required to fully profit from the power of these new methods and to discriminate between the hundreds of thousands of models that they can generate.
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.
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. PMID:26995035
NASA Astrophysics Data System (ADS)
Schulz, Phyllis
Women remain underrepresented in science, technology, engineering, and mathematics (STEM) at all levels of higher education, which has become a concern in the competitive global marketplace. Using both quantitative and qualitative analysis, this dissertation sought to learn more about how the campus climate and self-concept influence the degree aspirations of female undergraduate students majoring in STEM programs. Using the Beginning Post-Secondary dataset, regression analyses showed that a student's initial degree aspirations, SAT scores, and interactions with faculty were all positively related to their degree aspirations three years later. Interviews with seven current STEM undergraduates confirmed the importance of interaction with faculty and suggested undergraduate research and classroom experiences also play a role in the degree aspirations of STEM students. Three of the seven students interviewed began their undergraduate educations as non-STEM majors, suggesting that the traditional STEM pipeline may no longer be the norm. These findings suggest that both future research and current practitioners should focus on undergraduate STEM classroom and research experiences. Additionally, the characteristics of students who switch into STEM majors should be explored so that we may continue to expand the number of students pursuing STEM degrees.
NASA Technical Reports Server (NTRS)
Hilbert, Kent; Anderson, Daniel; Lewis, David
2007-01-01
Data collected via the International GPM Program could be used to provide a solution for the NOAA Estuarine Reserves Division s System-wide Monitoring Program by augmenting in situ rainfall measurements with data acquired via future satellite-acquired precipitation data. This Candidate Solution is in alignment with the Coastal Management National Application and will benefit society by assisting in estuary preservation.
NASA Astrophysics Data System (ADS)
Rehmer, Donald E.
Analysis of results from a mathematical programming model were examined to 1) determine the least cost options for infrastructure development of geologic storage of CO2 in the Illinois Basin, and 2) perform an analysis of a number of CO2 emission tax and oil price scenarios in order to implement development of the least-cost pipeline networks for distribution of CO2. The model, using mixed integer programming, tested the hypothesis of whether viable EOR sequestration sites can serve as nodal points or hubs to expand the CO2 delivery infrastructure to more distal locations from the emissions sources. This is in contrast to previous model results based on a point-to- point model having direct pipeline segments from each CO2 capture site to each storage sink. There is literature on the spoke and hub problem that relates to airline scheduling as well as maritime shipping. A large-scale ship assignment problem that utilized integer linear programming was run on Excel Solver and described by Mourao et al., (2001). Other literature indicates that aircraft assignment in spoke and hub routes can also be achieved using integer linear programming (Daskin and Panayotopoulos, 1989; Hane et al., 1995). The distribution concept is basically the reverse of the "tree and branch" type (Rothfarb et al., 1970) gathering systems for oil and natural gas that industry has been developing for decades. Model results indicate that the inclusion of hubs as variables in the model yields lower transportation costs for geologic carbon dioxide storage over previous models of point-to-point infrastructure geometries. Tabular results and GIS maps of the selected scenarios illustrate that EOR sites can serve as nodal points or hubs for distribution of CO2 to distal oil field locations as well as deeper saline reservoirs. Revenue amounts and capture percentages both show an improvement over solutions when the hubs are not allowed to come into the solution. Other results indicate that geologic
NASA Technical Reports Server (NTRS)
Miele, A.; Wang, T.; Basapur, V. K.
1986-01-01
One of the most effective first-order algorithms for solving trajectory optimization problems is the sequential gradient-restoration algorithm (SGRA). Originally developed in the primal formulation, this algorithm is extended to incorporate a dual formulation. Both the primal formulation and the dual formulation involve a sequence of two-phase cycles, each cycle including a gradient phase and a restoration phase. In turn, each iteration of the gradient phase and the restoration phase requires the solution of an auxiliary minimization problem (AMP). In the primal formulation, the AMP is solved with respect to the variations of the state, the control, and the parameter. In the dual formulation, the AMP is solved with respect to the Lagrange multipliers. A characteristic of the dual formulation is that the AMPs associated with the gradient phase and the restoration phase of SGRA can be reduced to mathematical programming problems involving a finite number of parameters as unknowns. A comparison of the primal formulation and the dual formulation is presented. The comparison is done in terms of several trajectory optimization problems having current aerospace interest.
ERIC Educational Resources Information Center
Kersaint, Gladis; Ritzhaupt, Albert D.; Liu, Feng
2014-01-01
The purpose of this study is to examine the extent to which teachers of mathematics or science who were engaged in a year-long initiative to help them integrate technological tools were (a) familiar with generic and mathematics- or science-specific technology, (b) comfortable integrating generic and content-specific technology, (c) believe that…
ERIC Educational Resources Information Center
Luther, Kenneth H.
2012-01-01
Mathematical modeling of groundwater flow is a topic at the intersection of mathematics and geohydrology and is rarely encountered in undergraduate mathematics. However, this subject is full of interesting and meaningful examples of truly "applied" mathematics accessible to undergraduates, from the pre-calculus to advanced mathematics levels. This…
Tapia, Richard
1998-06-01
In June, The Center for Research on Parallel Computation (CRPC), an NSF-funded Science and Technology Center, hosted the 4th Annual Conference for African-American Reserachers in the Mathematical Sciences (CAARMS4) at Rice University. The main goal of this conference was to highlight current work by African-American researchers and graduate students in mathematics. This conference strengthened the mathematical sciences by encouraging the increased participation of African-American and underrepresented groups into the field, facilitating working relationships between them and helping to cultivate their careers. In addition to the talks there was a graduate student poster session and tutorials on topics in mathematics and computer science. These talks, presentations, and discussions brought a broader perspective to the critical issues involving minority participation in mathematics.
Computing Linear Mathematical Models Of Aircraft
NASA Technical Reports Server (NTRS)
Duke, Eugene L.; Antoniewicz, Robert F.; Krambeer, Keith D.
1991-01-01
Derivation and Definition of Linear Aircraft Model (LINEAR) computer program provides user with powerful, and flexible, standard, documented, and verified software tool for linearization of mathematical models of aerodynamics of aircraft. Intended for use in software tool to drive linear analysis of stability and design of control laws for aircraft. Capable of both extracting such linearized engine effects as net thrust, torque, and gyroscopic effects, and including these effects in linear model of system. Designed to provide easy selection of state, control, and observation variables used in particular model. Also provides flexibility of allowing alternate formulations of both state and observation equations. Written in FORTRAN.
Modularizing Remedial Mathematics
ERIC Educational Resources Information Center
Wong, Aaron
2013-01-01
As remedial mathematics education has become an increasingly important topic of conversation in higher education. Mathematics departments have been put under increased pressure to change their programs to increase the student success rate. A number of models have been introduced over the last decade that represent a wide range of new ideas and…
NASA Technical Reports Server (NTRS)
Huang, L. C. P.; Cook, R. A.
1973-01-01
Models utilizing various sub-sets of the six degrees of freedom are used in trajectory simulation. A 3-D model with only linear degrees of freedom is especially attractive, since the coefficients for the angular degrees of freedom are the most difficult to determine and the angular equations are the most time consuming for the computer to evaluate. A computer program is developed that uses three separate subsections to predict trajectories. A launch rail subsection is used until the rocket has left its launcher. The program then switches to a special 3-D section which computes motions in two linear and one angular degrees of freedom. When the rocket trims out, the program switches to the standard, three linear degrees of freedom model.
Applied Mathematics in the Undergraduate Curriculum.
ERIC Educational Resources Information Center
Committee on the Undergraduate Program in Mathematics, Berkeley, CA.
After considering the growth in the use of mathematics in the past 25 years, this report makes four major recommendations regarding the undergraduate curriculum: (1) The mathematics department should offer a course or two in applied mathematics which treat some realistic situations completely, including the steps of problem formulation, model…
Mathematics Education for Students with Learning Disabilities: Theory to Practice.
ERIC Educational Resources Information Center
Rivera, Diane Pedrotty, Ed.
This book addresses teaching mathematics to students with learning disabilities, including characteristics and assessment of mathematics learning disabilities, mathematics programming and interventions, and teacher preparation. Chapters include: (1) "Mathematics Education and Students with Learning Disabilities: Instruction" (Diane Pedrotty…
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…
Middle School Mathematics Students' Perspectives on the Study of Mathematics
ERIC Educational Resources Information Center
Vaughn, Christy H.
2012-01-01
This qualitative study addressed the perceptions toward the study of mathematics by middle school students who had formerly been in a remedial mathematics program. The purpose of the study was to explore the past experiences of nine students in order to determine what is needed for them to feel successful in mathematics. The conceptual framework…
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…
A comparative review of four formulations of noncommutative quantum mechanics
NASA Astrophysics Data System (ADS)
Gouba, Laure
2016-07-01
Four formulations of quantum mechanics on noncommutative Moyal phase spaces are reviewed. These are the canonical, path-integral, Weyl-Wigner and systematic formulations. Although all these formulations represent quantum mechanics on a phase space with the same deformed Heisenberg algebra, there are mathematical and conceptual differences which we discuss.
ERIC Educational Resources Information Center
Reys, Robert; Reys, Rustin
2011-01-01
In their dual roles as mathematics teachers and tennis coaches, the authors have worked with tennis players who have never thought about how a knowledge of mathematics might help them become "better" tennis players. They have also worked with many mathematics students who have never considered how much mathematics is associated with tennis. This…
Valla, Jeffrey M; Williams, Wendy M
2012-01-01
The under-representation of women and ethnic minorities in Science, Technology, Engineering, and Mathematics (STEM) education and professions has resulted in a loss of human capital for the US scientific workforce and spurred the development of myriad STEM educational intervention programs. Increased allocation of resources to such programs begs for a critical, prescriptive, evidence-based review that will enable researchers to develop optimal interventions and administrators to maximize investments. We begin by providing a theoretical backdrop for K-12 STEM programs by reviewing current data on under-representation and developmental research describing individual-level social factors undergirding these data. Next, we review prototypical designs of these programs, highlighting specific programs in the literature as examples of program structures and components currently in use. We then evaluate these interventions in terms of overall effectiveness, as a function of how well they address age-, ethnicity-, or gender-specific factors, suggesting improvements in program design based on these critiques. Finally, program evaluation methods are briefly reviewed and discussed in terms of how their empirical soundness can either enable or limit our ability to delineate effective program components. "Now more than ever, the nation's changing demographics demand that we include all of our citizens in science and engineering education and careers. For the U.S. to benefit from the diverse talents of all its citizens, we must grow the pipeline of qualified, underrepresented minority engineers and scientists to fill positions in industry and academia."-Irving P. McPhail..
Ambiguity and Paradox in Mathematics
ERIC Educational Resources Information Center
Byers, William
2007-01-01
Many people believe that mathematics provides a model of what thinking is, or should be. They imagine that mathematical thinking always proceeds in a logically rigorous, step-by-step fashion from one truth to another, like a formal proof or a computer program. In fact, insights in mathematics -- whether they are the scholar's breakthroughs or the…
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
ERIC Educational Resources Information Center
Schulz, Phyllis
2014-01-01
Women remain underrepresented in science, technology, engineering, and mathematics (STEM) at all levels of higher education, which has become a concern in the competitive global marketplace. Using both quantitative and qualitative analysis, this dissertation sought to learn more about how the campus climate and self-concept influence the degree…
ERIC Educational Resources Information Center
Wamala, Robert; Maswere, Dyson W.; Mwanga, Yeko
2013-01-01
This study investigates the role of prior grounding attained in mathematics in predicting the academic achievement of enrollees in Bachelor of Science in Actuarial Science (BSAS). The investigation is based on administrative records of 240 BSAS enrollees at Makerere University, School of Statistics and Planning in the 2007-2009 cohorts. Students'…
ERIC Educational Resources Information Center
Huang, Xudong; Craig, Scotty D.; Xie, Jun; Graesser, Arthur C.; Okwumabua, Theresa; Cheney, Kyle R.; Hu, Xiangen
2013-01-01
The gap among ethnicities and gender in mathematics achievement is a well-known problem. While the gap has been shrinking over the past three decades, it has not completely diminished (Jencks & Phillips, 1998; McGraw, Lubienski, & Strutchens, 2006). The ALEKS, Assessment and LEarning in Knowledge Spaces, tutoring system is one promising…
ERIC Educational Resources Information Center
Yow, Jan A.; Lotter, Christine
2016-01-01
This study investigates the role of an inquiry professional development institute in empowering middle school mathematics and science teachers to develop as teacher leaders. Teachers and coaches jointly attended content sessions and participated in practice teaching sessions with students. The coaches led reflection sessions following the practice…
ERIC Educational Resources Information Center
Grana, David P.
2010-01-01
The disparity in academic achievement between African American and White students in all levels of education has been one of the critical issues in education. The purpose of this study was to determine the influence of school, community, and family on African American and White students' on the 8 th grade mathematics scores on the Missouri…
ERIC Educational Resources Information Center
Allen, L. E.; Ross, J.
1977-01-01
Performance of 237 students in 10 inner-city 8th grade math classes was assessed under 5 different sets of instructional conditions. Results indicated playing an instructional mathematics game over a two-year period and working with Instructional Math Play (IMP) kits for 2 weeks improved math ability better than any other combination. (JC)
ERIC Educational Resources Information Center
Jones, Thomas A.
1983-01-01
Mathematical techniques used to solve geological problems are briefly discussed (including comments on use of geostatistics). Highlights of conferences/meetings and conference papers in mathematical geology are also provided. (JN)
Mathematics anxiety and mathematics achievement
NASA Astrophysics Data System (ADS)
Sherman, Brian F.; Wither (Post.), David P.
2003-09-01
This paper is a distillation of the major result from the 1998 Ph.D. thesis of the late David Wither. It details a longitudinal study over five years of the relationship between mathematics anxiety and mathematics achievement. It starts from the already well documented negative correlation between the two, and seeks to establish one of the three hypotheses—that mathematics anxiety causes an impairment of mathematics achievement; that lack of mathematics achievement causes mathematics anxiety; or that there is a third underlying cause of the two.
Mathematics: Keystone to Student Learning.
ERIC Educational Resources Information Center
Vali Siadat, M.; Sagher, Yoram; Musical, Paul M.
2000-01-01
Discusses the Keystone Project, which is an instructional program for remedial mathematics students. Stresses the program's ability to better train students for future mathematical studies through the use of current technology. Recommends that other institutions should replicate the project in order to alleviate problems in their own schools.…
ERIC Educational Resources Information Center
Alper, Lynne; And Others
1995-01-01
Describes the Interactive Mathematics Program (IMP), a four-year program of problem-based mathematics that integrates algebra, geometry, and trigonometry with additional topics, such as probability and statistics, and uses calculator and computer technology to enhance student understanding. (MKR)
ERIC Educational Resources Information Center
Kilpatrick, Jeremy
2014-01-01
This paper addresses the contested way that ethnomathematics has sometimes been received by mathematicians and others and what that disagreement might suggest about issues in mathematics education; namely, (a) the relation of ethnomathematics to academic mathematics; (b) recent efforts to reform secondary school mathematics so that it prepares…
NASA Astrophysics Data System (ADS)
Beckham, Jerrell K.
(MS)2 is a summer program for high achieving minority students interested in math and science careers. It was started in 1977. The Program is located at Phillips Academy in Andover Massachusetts. Phillips Academy is one of the nation's oldest college preparatory schools. The school was founded in 1778. Current U.S. President George Bush attended Phillips Academy and his father before him. The students in (MS)2 attend Phillips Academy in the summertime, along with regular Summer Session students. The (MS)2 Program represents about a fifth of the students at Phillips Academy Summer Session. At present the program is made up of African Americans, Latinos, and Native American students who attend a number of different public schools throughout the nation. This dissertation explores the experiences of students in this program spanning nearly a quarter of a central. My research seeks to understand and shred additional light on how certain outreach programs might help along the pipeline in regard to improving minority representation in mathematics and science fields. Also, this narrative hopes to not only paints a more complex pictures of the experiences of minorities in schools, but seeks to serve the larger public interest by challenging some of the popular renditions and myths of the failure of Blacks, Latino/as, and Native Americans in schooling (Ogbu 2003), as oppose to certain aspects of schooling and society continuing to failing them.
NASA Astrophysics Data System (ADS)
van Zoest, Laura R.; Jones, Graham A.; Thornton, Carol A.
1994-07-01
The study compared beliefs about mathematics teaching of four pre-service elementary teachers involved in an intervention experience with those of their non-involved peers. During this intervention, which was based on a socio-constructivist approach to mathematics instruction, the intervention group participated in regular, small-group teaching experiences supported by on-going seminars. The study also examined the relationship between professed beliefs and observed actions for the intervention group. Although most pre-service teachers in this study seemed to attach some importance to children building their own knowledge through social interaction, the intervention group professed significantly stronger beliefs in a socio-constructivist instructional environment than the comparison group. Even though the intervention group strongly espoused socio-constructivist beliefs, they were not uniformly successful in translating these beliefs into instructional actions. Their actions appeared to be most consistent with a socio-constructivist perspective during the initial phase of an instructional episode, but in later phases their actions reflected more traditional beliefs about teaching mathematics.
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
Alpaslan, Mustafa; Isiksal, Mine; Haser, Çigdem
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…
Valla, Jeffrey M.; Williams, Wendy M.
2012-01-01
The under-representation of women and ethnic minorities in Science, Technology, Engineering, and Mathematics (STEM) education and professions has resulted in a loss of human capital for the US scientific workforce and spurred the development of myriad STEM educational intervention programs. Increased allocation of resources to such programs begs for a critical, prescriptive, evidence-based review that will enable researchers to develop optimal interventions and administrators to maximize investments. We begin by providing a theoretical backdrop for K-12 STEM programs by reviewing current data on under-representation and developmental research describing individual-level social factors undergirding these data. Next, we review prototypical designs of these programs, highlighting specific programs in the literature as examples of program structures and components currently in use. We then evaluate these interventions in terms of overall effectiveness, as a function of how well they address age-, ethnicity-, or gender-specific factors, suggesting improvements in program design based on these critiques. Finally, program evaluation methods are briefly reviewed and discussed in terms of how their empirical soundness can either enable or limit our ability to delineate effective program components. “Now more than ever, the nation’s changing demographics demand that we include all of our citizens in science and engineering education and careers. For the U.S. to benefit from the diverse talents of all its citizens, we must grow the pipeline of qualified, underrepresented minority engineers and scientists to fill positions in industry and academia.”—Irving P. McPhail.. PMID:22942637
Mathematical Modeling and Pure Mathematics
ERIC Educational Resources Information Center
Usiskin, Zalman
2015-01-01
Common situations, like planning air travel, can become grist for mathematical modeling and can promote the mathematical ideas of variables, formulas, algebraic expressions, functions, and statistics. The purpose of this article is to illustrate how the mathematical modeling that is present in everyday situations can be naturally embedded in…
ERIC Educational Resources Information Center
California State Postsecondary Education Commission, Sacramento.
The Mathematics, Engineering, Science Achievement (MESA) Program was established in 1970 to increase the number of minority students in college programs. This paper reports the MESA administrative operations and policy-making processes. Part 1 summarizes the background of this study. Part 2 describes MESA's administrative operations and provides…
Rivas, A; Ayesa, E; Galarza, A; Salterain, A
2001-01-01
This paper presents a mathematical formulation for the optimum design of a new activated sludge WWTP. The WWTP optimum design problem has been formulated as a Mathematical Programming problem, which is solved through a nonlinear optimisation method. The plant model has been based on the ASM1. The minimum volume of the biological reactors and the minimum total cost (including construction and exploitation costs) have been considered as optimisation criteria. Some practical results are also included, using as a case study the design of the second stage of the Galindo-Bilbao WWTP.
NASA Technical Reports Server (NTRS)
Bielawa, R. L.
1976-01-01
The differential equations of motion for the lateral and torsional deformations of a nonlinearly twisted rotor blade in steady flight conditions together with those additional aeroelastic features germane to composite bearingless rotors are derived. The differential equations are formulated in terms of uncoupled (zero pitch and twist) vibratory modes with exact coupling effects due to finite, time variable blade pitch and, to second order, twist. Also presented are derivations of the fully coupled inertia and aerodynamic load distributions, automatic pitch change coupling effects, structural redundancy characteristics of the composite bearingless rotor flexbeam - torque tube system in bending and torsion, and a description of the linearized equations appropriate for eigensolution analyses. Three appendixes are included presenting material appropriate to the digital computer program implementation of the analysis, program G400.
Parallel computing using a Lagrangian formulation
NASA Technical Reports Server (NTRS)
Liou, May-Fun; Loh, Ching Yuen
1991-01-01
A new Lagrangian formulation of the Euler equation is adopted for the calculation of 2-D supersonic steady flow. The Lagrangian formulation represents the inherent parallelism of the flow field better than the common Eulerian formulation and offers a competitive alternative on parallel computers. The implementation of the Lagrangian formulation on the Thinking Machines Corporation CM-2 Computer is described. The program uses a finite volume, first-order Godunov scheme and exhibits high accuracy in dealing with multidimensional discontinuities (slip-line and shock). By using this formulation, a better than six times speed-up was achieved on a 8192-processor CM-2 over a single processor of a CRAY-2.
ERIC Educational Resources Information Center
Webb, Norman L.; And Others
This report documents and evaluates the activities of the Urban Mathematics Collaborative (UMC) project during the 1988-89 school year. UMC seeks to improve mathematics education in inner-city schools and identify new models for the professional development of mathematics teachers by supporting collaboration among mathematics teachers and…
Guidelines for Teaching Mathematics K-12.
ERIC Educational Resources Information Center
Flax, Rosabel; And Others
This guide is intended to provide a basic outline for developing local mathematics programs. It was developed to give Kansas mathematics teachers from grades K-12 minimal sequential experiences in implementing the skills, values, and concepts of the mathematics program. The guide contains objectives, a checklist of topics appropriate for each…
Reforming Science and Mathematics Education
NASA Astrophysics Data System (ADS)
Lagowski, J. J.
1995-09-01
Since 1991, the National Science Foundation has signed cooperative agreements with 26 states to undertake ambitious and comprehensive initiatives to reform science, mathematics, and technology education. Collectively, those agreements are known as the State Systemic Initiatives (SSI's). Two complimentary programs, The Urban and Rural Systemic Initiatives (USI's and RSI's), address similar reforms in the nation's largest cities and poorest rural areas. The SSI Program departs significantly from past NSF practice in several ways. The funding is for a longer term and is larger in amount, and the NSF is taking a more activist role, seeking to leverage state and private funds and promote the coordination of programs within states. The Initiatives also have a stronger policy orientation than previous NSF programs have had. The NSF strategy is a reflection of the growing and widely held view that meaningful reforms in schools are most likely to be achieved through state initiatives that set clear and ambitious learning goals and standards; align all of the available policy levers in support of reform; stimulate school-level initiatives; and mobilize human and financial resources to support these changes. Two premises underlie systemic reform: (1) all children can meet significantly higher standards if they are asked to do so and given adequate opportunities to master the content, and (2) state and local policy changes can create opportunities by giving schools strong and consistent signals about the changes in practice and performance that are expected. Because this is an enormous investment of Federal resources that is intended to bring about deep, systemic improvement in the nation's ability to teach science and mathematics effectively, the NSF has contracted with a consortium of independent evaluators to conduct a review of the program. The first of the SSI's were funded in 1991, sufficiently long ago to begin to formulate some initial impressions of their impact. Take
Jacucci, G.; Rasetti, M.
1987-09-10
The solution of Ising models and other exactly solvable models in statistical mechanics reveals a close connection with such diverse mathematical fields as number theory, geometry, topology, algebra, and combinatorial group theory. It is suggested that computer-aided approaches are natural candidates to cope with the related algebraic and combinatorial complexity. It is shown how several problems in statistical mechanics which can be formulated in the language of enumerative graph theory - such as finding the generating function of closed loops on a finite lattice - or of formal logic and combinatorial group theory - such as Dehn's problem of finding all the words in a group which belong to the equivalence class of the identity-lend themselves naturally to symbolic computation. One of the advantages of these computational techniques is that their applicability is not restricted to cases where some problem-specific knowledge already exists. However, the combinatorial complexity of the problems grows extremely rapidly, so that it is essential to use intelligent knowledge-based techniques.
ERIC Educational Resources Information Center
Schatzman, Susan
An 18-month model distance learning program for rural middle and secondary school math and science teachers was developed by University of California Berkeley Extension in partnership with California rural educators. The program aimed to provide access to professional development for relatively isolated rural teachers in Del Norte, Humboldt, and…
ERIC Educational Resources Information Center
Zayac, Joanne M.
2013-01-01
With tightened school budgets, school administrators need to know the short term and long range effects of providing gifted programs at the elementary level. Programming opportunities in elementary school have direct impact on middle school and this, in turn impacts high school and college course selection. This study used the Early Childhood…
A Mastery Approach to Mathematical Literacy
ERIC Educational Resources Information Center
Hector, Judith Harle
1975-01-01
Use of a method of individualizing a mathematics course within a group-instruction situation is described. The course involved was a remedial mathematics course for college freshmen; the program involved individual counseling and retesting. (SD)
ERIC Educational Resources Information Center
Huckstep, Peter
2002-01-01
Contends teachers must resist the temptation to suggest that, while children can create stories and melodies, they cannot create mathematics. Quotes mathematician G. H. Hardy: "A mathematician, like a painter or poet, is a 'maker' of patterns." Considers mathematics should be able to stand up for itself. (BT)
ERIC Educational Resources Information Center
Flannery, Carol A.
This manuscript provides information and problems for teaching mathematics to vocational education students. Problems reflect applications of mathematical concepts to specific technical areas. The materials are organized into six chapters. Chapter 1 covers basic arithmetic, including fractions, decimals, ratio and proportions, percentages, and…
ERIC Educational Resources Information Center
Prochazka, Helen
2004-01-01
One section of this "scrapbook" section describes Pythagoras' belief in the connections between music and mathematics -- that everything in the universe was a series of harmonies and regulated by music. Another section explains why Phythagoras felt it important for women to be encouraged to learn mathematics. At least 28 women were involved in his…
Mixed finite element formulation applied to shape optimization
NASA Technical Reports Server (NTRS)
Rodrigues, Helder; Taylor, John E.; Kikuchi, Noboru
1988-01-01
The development presented introduces a general form of mixed formulation for the optimal shape design problem. The associated optimality conditions are easily obtained without resorting to highly elaborate mathematical developments. Also, the physical significance of the adjoint problem is clearly defined with this formulation.
Analysing the Mathematical Experience: Posing the "What Is Mathematics?" Question
ERIC Educational Resources Information Center
Padula, Janice
2011-01-01
In this paper, different schools of thought are discussed and compared to encourage lively classroom discussion and interest in mathematics for high achieving Form 12 students and first (or higher) year university students enrolled in a mathematics degree program. In particular the work and views of two mathematicians, Kurt Godel (1931) and Ian…
On Mathematical Anti-Evolutionism
ERIC Educational Resources Information Center
Rosenhouse, Jason
2016-01-01
The teaching of evolution in American high schools has long been a source of controversy. The past decade has seen an important shift in the rhetoric of anti-evolutionists, toward arguments of a strongly mathematical character. These mathematical arguments, while different in their specifics, follow the same general program and rely on the same…
Case Studies in Applied Mathematics.
ERIC Educational Resources Information Center
Mathematical Association of America, Washington, DC.
This collection of nine case studies in applied mathematics was written primarily for the use of the instructor by a Conference sponsored by the Committee on the Undergraduate Program in Mathematics (CUPM). Each chapter contains exercises of varying degrees of difficulty and several include student projects. The materials were used on a trial…
Mathematics Equity. A Resource Book.
ERIC Educational Resources Information Center
Tyree, Eddy; And Others
Provided in this document is a brief summary of current research on equity in mathematics, readings on the topic, and lists of selected programs and resource materials. Readings presented include: "Teaching Mathematics in a Multicultural Setting: Some Considerations when Teachers and Students are of Differing Cultural Backgrounds" (Willis N.…
NASA Technical Reports Server (NTRS)
Fortenbaugh, R. L.
1980-01-01
Instructions for using Vertical Attitude Takeoff and Landing Aircraft Simulation (VATLAS), the digital simulation program for application to vertical attitude takeoff and landing (VATOL) aircraft developed for installation on the NASA Ames CDC 7600 computer system are described. The framework for VATLAS is the Off-Line Simulation (OLSIM) routine. The OLSIM routine provides a flexible framework and standardized modules which facilitate the development of off-line aircraft simulations. OLSIM runs under the control of VTOLTH, the main program, which calls the proper modules for executing user specified options. These options include trim, stability derivative calculation, time history generation, and various input-output options.
NASA Technical Reports Server (NTRS)
1978-01-01
A computer program was developed for calculating the radial displacement due to the body tide as a function of spatial position and time. The positions of the moon and sun were evaluated by means of the Hill-Brown and Newcomb theories, respectively. Green's functions were utilized to simulate the elastic Earth responses due to point loads, a convolution program has been developed to evaluate the elastic Earth responses due to ocean loading by a given ocean tide constituent. These responses include radial and horizontal displacement, tilt and gravity acceleration, and strain tensor components.
Mathematics Unipac. Computers.
ERIC Educational Resources Information Center
Parma City School District, OH.
Five activities are presented in this student workbook designed for exploration of a career in computers, and the mathematics related to that career. Included are activities on basic computer language, flow charts, and basic computer programming. Each activity includes the objective, materials needed, and information for completing the activity.…
A Classroom Mathematics Utility.
ERIC Educational Resources Information Center
Williams, Michael
1984-01-01
Reviews CATUSPLOT, a mathematics utility aimed at high school algebra through college-level calculus. Basic program capabilities include plotting, tabulating, integrating, and locating of intersections of functions composed of combinations of polynomial, trigonometric, and exponential functions. Rated excellent on all areas examined…
ERIC Educational Resources Information Center
Salmun, Haydee; Buonaiuto, Frank
2016-01-01
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 to 40 academically talented but financially disadvantaged students majoring in four disciplines of science, technology, engineering and mathematics…
ERIC Educational Resources Information Center
Venzen, Marc A.
2011-01-01
The purpose of this quantitative study was to examine the academic impacts of the Twenty-First Century Community Learning Centers on students who participated in this program. The following research questions guided the study: (a) are there significant differences between the Criterion Reference Competency Test English Language Arts scores of…
ERIC Educational Resources Information Center
Ludwig, Meredith Jane; Mengli, Song; Kouyate-Tate, Akua; Cooper, Jennifer E.; Phillips, Lori; Greenbaum, Sarah
2014-01-01
In 2010, the Wolf Trap Foundation for the Performing Arts, Institute for Early Learning Through the Arts, was awarded an Arts in Education Model Development and Dissemination (AEMDD) grant to develop, implement, and disseminate a research-based program of professional development (PD) that equips prekindergarten and kindergarten teachers to infuse…
Mathematical modeling of deformation during hot rolling
Jin, D.; Stachowiak, R.G.; Samarasekera, I.V.; Brimacombe, J.K.
1994-12-31
The deformation that occurs in the roll bite during the hot rolling of steel, particularly the strain-rate and strain distribution, has been mathematically modeled using finite-element analysis. In this paper three different finite-element models are compared with one another and with industrial measurements. The first model is an Eulerian analysis based on the flow formulation method, while the second utilizes an Updated Lagrangian approach. The third model is based on a commercially available program DEFORM which also utilizes a Lagrangian reference frame. Model predictions of strain and strain-rate distribution, particularly near the surface of the slab, are strongly influenced by the treatment of friction at the boundary and the magnitude of the friction coefficient or shear factor. Roll forces predicted by the model have been compared with industrial rolling loads from a seven-stand hot-strip mill.
NASA Astrophysics Data System (ADS)
Mathers, Naomi; Pakakis, Michael; Christie, Ian
2011-09-01
The Victorian Space Science Education Centre (VSSEC) scenario-based programs, including the Mission to Mars and Mission to the Orbiting Space Laboratory, utilize methodologies such as hands-on applications, immersive learning, integrated technologies, critical thinking and mentoring. The use of a scenario provides a real-life context and purpose to what students might otherwise consider disjointed information. These programs engage students in the areas of maths and science, and highlight potential career paths in science and engineering. The introduction of a scenario-based program for primary students engages students in maths and science at a younger age, addressing the issues of basic numeracy and science literacy, thus laying the foundation for stronger senior science initiatives. Primary students absorb more information within the context of the scenario, and presenting information they can see, hear, touch and smell creates a memorable learning and sensory experience. The mission also supports development of teacher skills in the delivery of hands-on science and helps build their confidence to teach science. The Primary Mission to the Mars Base gives primary school students access to an environment and equipment not available in schools. Students wear flight suits for the duration of the program to immerse them in the experience of being an astronaut. Astronauts work in the VSSEC Space Laboratory, which is transformed into a Mars base for the primary program, to conduct experiments in areas such as robotics, human physiology, microbiology, nanotechnology and environmental science. Specialist mission control software has been developed by La Trobe University Centre for Games Technology to provide age appropriate Information and Communication Technology (ICT) based problem solving and support the concept of a mission. Students in Mission Control observe the astronauts working in the space laboratory and talk to them via the AV system. This interactive
ERIC Educational Resources Information Center
Erktin, Emine; Akyel, Ayse
2005-01-01
Mathematics educators are concerned about students' lack of ability to translate mathematical word problems into computable forms. Researchers argue that linguistic problems lie at the root of students' difficulties with mathematical word problems. The issue becomes more complicated for bilingual students. It is argued that if students study…
ERIC Educational Resources Information Center
Watts, Beverly Kinsey
2011-01-01
Competent mathematical skills are needed in the workplace as well as in the college setting. Adults in Adult Basic Education classes and programs generally perform below high school level competency, but very few studies have been performed investigating the predictors of mathematical success for adults. The current study contributes to the…
Connected Mathematics Project. What Works Clearinghouse Intervention Report
ERIC Educational Resources Information Center
What Works Clearinghouse, 2007
2007-01-01
The "Connected Mathematics Project" ("CMP)" is a problem-centered mathematics curriculum designed for all 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 program seeks to make connections within mathematics, between mathematics and…
Areepattamannil, Shaljan; Khine, Myint Swe; Melkonian, Michael; Welch, Anita G; Al Nuaimi, Samira Ahmed; Rashad, Fatimah F
2015-10-01
Drawing on data from the 2012 Program for International Student Assessment (PISA) and employing multilevel modeling as an analytic strategy, this study examined the relations of adolescent children's perceptions of their parents' attitudes towards mathematics to their own attitudes towards mathematics and mathematics achievement among a sample of 5116 adolescents from 384 schools in the United Arab Emirates. The results of this cross-sectional study revealed that adolescents who perceived that their parents liked mathematics and considered mathematics was important for their children not only to study but also for their career tended to report higher levels of intrinsic and instrumental motivation to learn mathematics, mathematics self-concept and self-efficacy, and mathematics work ethic. Moreover, adolescents who perceived that their parents liked mathematics and considered mathematics was important for their children's career tended to report positive intentions and behaviors toward mathematics. However, adolescents who perceived that their parents considered mathematics was important for their children's career tended to report higher levels of mathematics anxiety. Finally, adolescents who perceived that their parents considered mathematics was important for their children to study performed significantly better on the mathematics assessment than did their peers whose parents disregarded the importance of learning mathematics.
Areepattamannil, Shaljan; Khine, Myint Swe; Melkonian, Michael; Welch, Anita G; Al Nuaimi, Samira Ahmed; Rashad, Fatimah F
2015-10-01
Drawing on data from the 2012 Program for International Student Assessment (PISA) and employing multilevel modeling as an analytic strategy, this study examined the relations of adolescent children's perceptions of their parents' attitudes towards mathematics to their own attitudes towards mathematics and mathematics achievement among a sample of 5116 adolescents from 384 schools in the United Arab Emirates. The results of this cross-sectional study revealed that adolescents who perceived that their parents liked mathematics and considered mathematics was important for their children not only to study but also for their career tended to report higher levels of intrinsic and instrumental motivation to learn mathematics, mathematics self-concept and self-efficacy, and mathematics work ethic. Moreover, adolescents who perceived that their parents liked mathematics and considered mathematics was important for their children's career tended to report positive intentions and behaviors toward mathematics. However, adolescents who perceived that their parents considered mathematics was important for their children's career tended to report higher levels of mathematics anxiety. Finally, adolescents who perceived that their parents considered mathematics was important for their children to study performed significantly better on the mathematics assessment than did their peers whose parents disregarded the importance of learning mathematics. PMID:26189150
Mathematical properties and bounds on haplotyping populations by pure parsimony.
Wang, I-Lin; Chang, Chia-Yuan
2011-06-01
Although the haplotype data can be used to analyze the function of DNA, due to the significant efforts required in collecting the haplotype data, usually the genotype data is collected and then the population haplotype inference (PHI) problem is solved to infer haplotype data from genotype data for a population. This paper investigates the PHI problem based on the pure parsimony criterion (HIPP), which seeks the minimum number of distinct haplotypes to infer a given genotype data. We analyze the mathematical structure and properties for the HIPP problem, propose techniques to reduce the given genotype data into an equivalent one of much smaller size, and analyze the relations of genotype data using a compatible graph. Based on the mathematical properties in the compatible graph, we propose a maximal clique heuristic to obtain an upper bound, and a new polynomial-sized integer linear programming formulation to obtain a lower bound for the HIPP problem.
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.
ERIC Educational Resources Information Center
McCammon, Richard B.
1979-01-01
The year 1978 marked a continued trend toward practical applications in mathematical geology. Developments included work in interactive computer graphics, factor analysis, the vanishing tons problem, universal kriging, and resource estimating. (BB)
ERIC Educational Resources Information Center
Gardner, Martin
1978-01-01
Describes the life and work of Charles Peirce, U.S. mathematician and philosopher. His accomplishments include contributions to logic, the foundations of mathematics and scientific method, and decision theory and probability theory. (MA)
Mathematical Models of Waiting Time.
ERIC Educational Resources Information Center
Gordon, Sheldon P.; Gordon, Florence S.
1990-01-01
Considered are several mathematical models that can be used to study different waiting situations. Problems involving waiting at a red light, bank, restaurant, and supermarket are discussed. A computer program which may be used with these problems is provided. (CW)
ERIC Educational Resources Information Center
Ashby, Cornelia M.
2006-01-01
The United States is a world leader in scientific and technological innovation. To help maintain this advantage, the federal government has spent billions of dollars on education programs in the science, technology, engineering, and mathematics (STEM) fields for many years. However, concerns have been raised about the nation's ability to maintain…
ERIC Educational Resources Information Center
Wood, William B.
2002-01-01
A recently released National Research Council (NRC) report, "Learning and Understanding: Improving Advanced Study of Mathematics and Science in U.S. High Schools", evaluated and recommended changes in the Advanced Placement (AP), International Baccalaureate (IB), and other advanced secondary school science programs. As part of this study,…
ERIC Educational Resources Information Center
Nall, Katherine Ligon
2011-01-01
The purpose of this study was to assess the effect of a 3-stage community college mathematics teacher and curriculum conceptual change program on student achievement. The study, which was a replication and extension of Lake (2008), was conducted during Fall 2009 and Spring 2010 terms and focused on teachers' instructional practices relative to…
ERIC Educational Resources Information Center
Bossé, Michael J.; Adu-Gyamfi, Kwaku; Chandler, Kayla; Lynch-Davis, Kathleen
2016-01-01
Dynamic mathematical environments allow users to reify mathematical concepts through multiple representations, transform mathematical relations and organically explore mathematical properties, investigate integrated mathematics, and develop conceptual understanding. Herein, we integrate Boolean algebra, the functionalities of a dynamic…
Mathematical wit and mathematical cognition.
Aberdein, Andrew
2013-04-01
The published works of scientists often conceal the cognitive processes that led to their results. Scholars of mathematical practice must therefore seek out less obvious sources. This article analyzes a widely circulated mathematical joke, comprising a list of spurious proof types. An account is proposed in terms of argumentation schemes: stereotypical patterns of reasoning, which may be accompanied by critical questions itemizing possible lines of defeat. It is argued that humor is associated with risky forms of inference, which are essential to creative mathematics. The components of the joke are explicated by argumentation schemes devised for application to topic-neutral reasoning. These in turn are classified under seven headings: retroduction, citation, intuition, meta-argument, closure, generalization, and definition. Finally, the wider significance of this account for the cognitive science of mathematics is discussed. PMID:23512504
NASA Technical Reports Server (NTRS)
Sadler, S. G.
1972-01-01
A mathematical model and computer program was implemented to study the main rotor free wake geometry effects on helicopter rotor blade air loads and response in steady maneuvers. Volume 1 (NASA CR-2110) contains the theoretical formulation and analysis of results. Volume 2 contains the computer program listing.
Computer Aided Learning of Mathematics: Software Evaluation
ERIC Educational Resources Information Center
Yushau, B.; Bokhari, M. A.; Wessels, D. C. J.
2004-01-01
Computer Aided Learning of Mathematics (CALM) has been in use for some time in the Prep-Year Mathematics Program at King Fahd University of Petroleum & Minerals. Different kinds of software (both locally designed and imported) have been used in the quest of optimizing the recitation/problem session hour of the mathematics classes. This paper…
Using Calculators in Mathematics 12. Student Text.
ERIC Educational Resources Information Center
Rising, Gerald R.; And Others
This student textbook is designed to incorporate programable calculators in grade 12 mathematics. The seven chapters contained in this document are: (1) Using Calculators in Mathematics; (2) Sequences, Series, and Limits; (3) Iteration, Mathematical Induction, and the Binomial Theorem; (4) Applications of the Fundamental Counting Principle; (5)…
Business Mathematics Curriculum Guide. Bulletin 1612. Revised.
ERIC Educational Resources Information Center
Louisiana State Dept. of Education, Baton Rouge. Div. of Academic Programs.
This curriculum guide for business mathematics was developed to establish statewide curriculum standards for the Louisiana Competency-based Education Program. Following an overview of the secondary school mathematics curriculum, eight goals for the business mathematics course are listed. A pacing chart with suggested time periods for each major…
Lecturers' Views on Ghana's Undergraduate Mathematics Education
ERIC Educational Resources Information Center
Assuah, Charles; Ayebo, Abraham
2015-01-01
This paper synthesizes the views of 6 university lecturers on Ghana's undergraduate mathematics education. These views were expressed during a mathematics workshop sensitization program on the "contribution of undergraduate mathematics education to the Ghanaian economy." The data consisting of open-ended questions followed by…
Expanding your horizons in science and mathematics
NASA Technical Reports Server (NTRS)
Palmer, Cynthia E. A.
1995-01-01
The purpose of the 'Expanding Your Horizons in Science and Mathematics' program is to interest young women in grades six through twelve in a variety of careers where mathematics and science are important. Progress in encouraging young women to take courses in mathematics, science, and technological subjects is discussed. Also included are adult, student, and organizational information packets used for 'Expanding Your Horizons' conferences.
Computer Tutorial "Higher Mathematics" for Engineering Specialties.
ERIC Educational Resources Information Center
Slivina, Natalia A.; Krivosheev, Anatoly O.; Fomin, Sergey S.
This paper presents a CD-ROM computer tutorial titled "Higher Mathematics," that contains 17 educational mathematical programs and is intended for use in Russian university engineering education. The first section introduces the courseware climate in Russia and outlines problems with commercially available universal mathematical packages. The…
Mathematical Model for Mapping Students' Cognitive Capability
ERIC Educational Resources Information Center
Tambunan, Hardi
2016-01-01
The quality mapping of educational unit program is important issue in education in Indonesia today in an effort to improve the quality of education. The objective of this study is to make a mathematical model to find out the map of students' capability in mathematics. It has been made a mathematical model to be used in the mapping of students'…
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…
Glimm, J.
2009-10-14
Progress for the past decade or so has been extraordinary. The solution of Fermat's Last Theorem [11] and of the Poincare Conjecture [1] have resolved two of the most outstanding challenges to mathematics. For both cases, deep and advanced theories and whole subfields of mathematics came into play and were developed further as part of the solutions. And still the future is wide open. Six of the original seven problems from the Clay Foundation challenge remain open, the 23 DARPA challenge problems are open. Entire new branches of mathematics have been developed, including financial mathematics and the connection between geometry and string theory, proposed to solve the problems of quantized gravity. New solutions of the Einstein equations, inspired by shock wave theory, suggest a cosmology model which fits accelerating expansion of the universe possibly eliminating assumptions of 'dark matter'. Intellectual challenges and opportunities for mathematics are greater than ever. The role of mathematics in society continues to grow; with this growth comes new opportunities and some growing pains; each will be analyzed here. We see a broadening of the intellectual and professional opportunities and responsibilities for mathematicians. These trends are also occuring across all of science. The response can be at the level of the professional societies, which can work to deepen their interactions, not only within the mathematical sciences, but also with other scientific societies. At a deeper level, the choices to be made will come from individual mathematicians. Here, of course, the individual choices will be varied, and we argue for respect and support for this diversity of responses. In such a manner, we hope to preserve the best of the present while welcoming the best of the new.
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.
High-Order Entropy Stable Formulations for Computational Fluid Dynamics
NASA Technical Reports Server (NTRS)
Carpenter, Mark H.; Fisher, Travis C.
2013-01-01
A systematic approach is presented for developing entropy stable (SS) formulations of any order for the Navier-Stokes equations. These SS formulations discretely conserve mass, momentum, energy and satisfy a mathematical entropy inequality. They are valid for smooth as well as discontinuous flows provided sufficient dissipation is added at shocks and discontinuities. Entropy stable formulations exist for all diagonal norm, summation-by-parts (SBP) operators, including all centered finite-difference operators, Legendre collocation finite-element operators, and certain finite-volume operators. Examples are presented using various entropy stable formulations that demonstrate the current state-of-the-art of these schemes.
Mathematical foundations of biomechanics.
Niederer, Peter F
2010-01-01
The aim of biomechanics is the analysis of the structure and function of humans, animals, and plants by means of the methods of mechanics. Its foundations are in particular embedded in mathematics, physics, and informatics. Due to the inherent multidisciplinary character deriving from its aim, biomechanics has numerous connections and overlapping areas with biology, biochemistry, physiology, and pathophysiology, along with clinical medicine, so its range is enormously wide. This treatise is mainly meant to serve as an introduction and overview for readers and students who intend to acquire a basic understanding of the mathematical principles and mechanics that constitute the foundation of biomechanics; accordingly, its contents are limited to basic theoretical principles of general validity and long-range significance. Selected examples are included that are representative for the problems treated in biomechanics. Although ultimate mathematical generality is not in the foreground, an attempt is made to derive the theory from basic principles. A concise and systematic formulation is thereby intended with the aim that the reader is provided with a working knowledge. It is assumed that he or she is familiar with the principles of calculus, vector analysis, and linear algebra. PMID:21303323
High Speed Cylindrical Roller Bearing Analysis, SKF Computer Program CYBEAN. Volume 1: Analysis
NASA Technical Reports Server (NTRS)
Kleckner, R. J.; Pirvics, J.
1978-01-01
The CYBEAN (CYlindrical BEaring ANalysis) program was created to detail radially loaded, aligned and misaligned Cylindrical roller bearing performance under a variety of operating conditions. The models and associated mathematics used within CYBEAN are described. The user is referred to the material for formulation assumptions and algorithm detail.
Pseudo-prototyping of aerospace mechanical dynamic systems with a generalized computer program
NASA Technical Reports Server (NTRS)
Sohoni, Vikram N.; Chace, Milton A.
1986-01-01
The ADAMS computer program for automated analysis of mechanisms and machines is described. The program automatically formulates mathematical models for prototype or existing mechanisms with the minimum necessary physical and geometric data. The model can then be analyzed in various modes of analysis. The outputs (displacements, velocities, acceleration and forces) can be produced in tabular and graphical (plots, wire frame graphics) form. The application of this computer program to simulating satellite docking maneuvers is illustrated.
A formulation for multiple loading cases in plastic topology design of continua
NASA Astrophysics Data System (ADS)
Kammoun, Zied
2016-10-01
In the real life, most industrial structures are subject to multiple load cases. The present paper proposes a topology optimization formulation for multiple loading cases. It is based on the recently developed Direct Method of Limit Analysis for plastic topology Design (LADM). In this formulation, a single mathematical problem is considered to optimize structures under multiple loading cases; each case acts independently at a different time. For the continuous design problem, as in LADM, a unique iteration is considered. For the discrete, i.e. black and white, topology optimization problem, the same approach used in LADM is conserved with the use of a sequence of conic programming problems of the same form as the continuous design problem. The proposed method is illustrated with continuous and discrete example design problems. Examples with multiple loading cases confirm the conservation of the LADM features. xml:lang="fr"
Peters, Arne
2016-01-01
The enduring stages of entomopathogenic nematodes of the genera Steinernema and Heterorhabditis are infective juveniles, which require a high humidity and sufficient ventilation for survival. Formulations must account for these requirements. Nematodes may be formulated inside the insects in which they reproduced or they need to be cleaned and mixed with a suitable binder to maintain humidity but allowing for gas exchange. Another method for formulation is the encapsulation in beads of Ca-alginate. Generic procedures for these formulation techniques are described. PMID:27565496
Psychiatrists' use of formulation
Hughes, Patricia M.
2016-01-01
Both psychologists and psychiatrists are trained to write formulations of their patients' illnesses, with some differences in how they do this. Psychologists focus on psychological understanding, while psychiatrists' formulation brings together aetiology, functioning and a management plan. Mohtashemi et al's study records how some psychiatrists understand formulation and its usefulness. Time pressure was an important barrier to making a full formulation, and some believed the medical role of the psychiatrist was a priority. The study illustrates some of the challenges facing psychiatrists working in the NHS in terms of maintaining high clinical standards and a holistic approach to patient care. PMID:27512593
NASA Astrophysics Data System (ADS)
Grogg, Jennifer K. Drake
This proposal examines the relationships between self-efficacy and persistence of students enrolled in science, computer science (as a technology-based program of study), and mathematics programs (STM) in a Midwestern university. It also examines gender differences between persisters and non-persisters as to self-efficacy levels, academic performance, attrition/persistence, and contributing factors related to self-efficacy. A review of related research was found to be somewhat contradictory and inadequate in examining the relationship between academic self-efficacy and student persistence in college STM programs.
ERIC Educational Resources Information Center
Rogness, Jonathan
2011-01-01
Advances in computer graphics have provided mathematicians with the ability to create stunning visualizations, both to gain insight and to help demonstrate the beauty of mathematics to others. As educators these tools can be particularly important as we search for ways to work with students raised with constant visual stimulation, from video games…
ERIC Educational Resources Information Center
Hadlock, Charles R
2013-01-01
The movement of groundwater in underground aquifers is an ideal physical example of many important themes in mathematical modeling, ranging from general principles (like Occam's Razor) to specific techniques (such as geometry, linear equations, and the calculus). This article gives a self-contained introduction to groundwater modeling with…
ERIC Educational Resources Information Center
Catterton, Gene; And Others
This material was developed to be used with the non college-bound student in the senior high school. It provides the student with everyday problems and experiences in which practical mathematical applications are made. The package includes worksheets pertaining to letterhead invoices, sales slips, payroll sheets, inventory sheets, carpentry and…
ERIC Educational Resources Information Center
Shoemaker, Sarah E.; Thomas, Christopher; Roberts, Todd; Boltz, Robin
2016-01-01
The North Carolina School of Science and Mathematics (NCSSM) offers students a wide variety of real-world opportunities to develop skills and talent critical for students to gain the essential professional and personal skills that lead to success in science, technology, engineering, and mathematics (STEM) careers. One of the key avenues available…
ERIC Educational Resources Information Center
Schalago-Schirm, Cynthia
Eighth-grade students in New Jersey take the Early Warning Test (EWT), which involves reading, writing, and mathematics. Students with EWT scores below the state level of competency take a remedial mathematics course that provides students with computer-assisted instruction (2 days per week) as well as regular classroom instruction (3 days per…
ERIC Educational Resources Information Center
McGinnis, J. Randy; Kramer, Steve; Shama, Gilli; Graeber, Anna O.; Parker, Carolyn A.; Watanabe, Ted
2002-01-01
Describes the design and use of a valid and reliable instrument to measure teacher candidates' attitudes and beliefs about mathematics and science and the teaching of those subjects. Uses the instrument 'Attitudes and Beliefs about the Nature of and Teaching of Mathematics and Science' which was developed for the Maryland Collaborative for Teacher…
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…
ERIC Educational Resources Information Center
Price, Janet E.
1981-01-01
Examines the needs and objectives behind the expression "languages for special purposes," considering the problems faced by a language center that attempts to provide strictly specialized programs of instruction. Describes a method for the analysis of student needs as applied to the Department of Agriculture at the University of Newcastle. Societe…
Remedial Mathematics in the College: A Bibliography
ERIC Educational Resources Information Center
Akst, Geoffrey
1978-01-01
References dealing specifically with college remedial mathematics programs fall into several categories: descriptions of programs at individual colleges, regional surveys, and comparative studies on the relative effectiveness of various modes of instruction. (MN)
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…
Mathematics 16, Teacher Resource Manual. Interim--1990.
ERIC Educational Resources Information Center
Alberta Dept. of Education, Edmonton. Curriculum Branch.
The Mathematics 16 program provides for the development of essential concepts, skills, and attitudes required for effective computation and problem solving. The program is activity-based, and addresses the need for students to be able to transfer and apply specific mathematical concepts and skills to more generalized situations in everyday life…
Mathematics Curriculum Guide. Mathematics IV.
ERIC Educational Resources Information Center
Gary City Public School System, IN.
GRADES OR AGES: Grade 12. SUBJECT MATTER: Mathematics. ORGANIZATION AND PHYSICAL APPEARANCE: The subject matter is presented in four columns: major areas, significant outcomes, observations and suggestions, and films and references. The topics include: sets-relations-functions, circular functions, graphs of circular functions, inverses of circular…
Rival approaches to mathematical modelling in immunology
NASA Astrophysics Data System (ADS)
Andrew, Sarah M.; Baker, Christopher T. H.; Bocharov, Gennady A.
2007-08-01
In order to formulate quantitatively correct mathematical models of the immune system, one requires an understanding of immune processes and familiarity with a range of mathematical techniques. Selection of an appropriate model requires a number of decisions to be made, including a choice of the modelling objectives, strategies and techniques and the types of model considered as candidate models. The authors adopt a multidisciplinary perspective.
ERIC Educational Resources Information Center
Al-Hroub, Anies
2009-01-01
The current study investigates how two groups of mathematically gifted pupils with learning difficulties (MG/LD) change/do not change their attitudes towards, and beliefs about, mathematics over five weeks during which they received two different instructional programs in mathematics. Thirty pupils (16 girls and 14 boys), aged 10 years to 11 years…
ERIC Educational Resources Information Center
Beswick, Kim
2008-01-01
This paper reports on the beliefs of a group of K-8 mathematics teachers about appropriate goals and methods of mathematics teaching for students with mathematics learning difficulties and for students generally. The teachers were involved in a brief professional learning program that aimed to provide them with effective strategies for mathematics…
ERIC Educational Resources Information Center
Virginia Department of Education, 2011
2011-01-01
This first draft of the "Comparison of Virginia's 2009 Mathematics Standards of Learning (SOL) with the Common Core State Standards (CCSS) for Mathematics" provides a side-by-side overview demonstrating how the 2009 Mathematics SOL are aligned to the CCSS. The comparison was made using Virginia's complete standards program for supporting teaching…
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…
The Mathematical Education of Teachers. Issues in Mathematics Education. Volume 11 [and] Part I.
ERIC Educational Resources Information Center
Conference Board of the Mathematical Sciences, Washington, DC.
This report is designed to be a resource for mathematics faculty and other parties involved in the education of mathematics teachers. It provides a distillation of current thinking on curriculum and policy issues affecting the mathematical education of teachers with the goal of stimulating efforts on individual campuses to improve programs for…
ERIC Educational Resources Information Center
Van Nes, Fenna
2011-01-01
The Mathematics Education and Neurosciences project is an interdisciplinary research program that bridges mathematics education research with neuroscientific research. The bidirectional collaboration will provide greater insight into young children's (aged four to six years) mathematical abilities. Specifically, by combining qualitative "design…
Optimization in development of acetaminophen syrup formulation.
Worakul, Nimit; Wongpoowarak, Wibul; Boonme, Prapaporn
2002-03-01
Formulation of acetaminophen syrup could be developed by an optimization technique to reduce the time and cost of study. Cosolvents were used in the formulation because of the low solubility of acetaminophen in water. They were composed of polyethylene glycol 4000, propylene glycol, sorbitol solution, and glycerin. Their effects on the solubility of acetaminophen and the pH of formulations were investigated. Effects on taste and price were calculated based on their properties. Simulation study of the effect of cosolvents upon the formulation scores was performed, using an algorithm based upon a simulated annealing concept to achieve the global optima and heuristic optimization concept to accelerate convergence. The program written as a Visual Basic module within Microsoft Access 97 was used to simulate and assess the optimal cosolvent amounts to achieve the most desirable formulations automatically according to the specified criteria. Formulators could customize the optimal formulation according to their needs and cost constraints by redefining the desirable outcomes in the source code of the program. PMID:12026227
Algorithmic Perspectives on Problem Formulations in MDO
NASA Technical Reports Server (NTRS)
Alexandrov, Natalia M.; Lewis, Robert Michael
2000-01-01
This work is concerned with an approach to formulating the multidisciplinary optimization (MDO) problem that reflects an algorithmic perspective on MDO problem solution. The algorithmic perspective focuses on formulating the problem in light of the abilities and inabilities of optimization algorithms, so that the resulting nonlinear programming problem can be solved reliably and efficiently by conventional optimization techniques. We propose a modular approach to formulating MDO problems that takes advantage of the problem structure, maximizes the autonomy of implementation, and allows for multiple easily interchangeable problem statements to be used depending on the available resources and the characteristics of the application problem.
Audits of radiopharmaceutical formulations
Castronovo, F.P. Jr. )
1992-03-01
A procedure for auditing radiopharmaceutical formulations is described. To meet FDA guidelines regarding the quality of radiopharmaceuticals, institutional radioactive drug research committees perform audits when such drugs are formulated away from an institutional pharmacy. All principal investigators who formulate drugs outside institutional pharmacies must pass these audits before they can obtain a radiopharmaceutical investigation permit. The audit team meets with the individual who performs the formulation at the site of drug preparation to verify that drug formulations meet identity, strength, quality, and purity standards; are uniform and reproducible; and are sterile and pyrogen free. This team must contain an expert knowledgeable in the preparation of radioactive drugs; a radiopharmacist is the most qualified person for this role. Problems that have been identified by audits include lack of sterility and apyrogenicity testing, formulations that are open to the laboratory environment, failure to use pharmaceutical-grade chemicals, inadequate quality control methods or records, inadequate training of the person preparing the drug, and improper unit dose preparation. Investigational radiopharmaceutical formulations, including nonradiolabeled drugs, must be audited before they are administered to humans. A properly trained pharmacist should be a member of the audit team.
A formulation of the foundations of genetics and evolution.
Bahr, Brian Edward
2016-05-01
This paper proposes a formulation of theories of the foundations of genetics and evolution that can be used to mathematically simulate phenotype expression, reproduction, mutation, and natural selection. It will be shown that Mendelian inheritance can be mathematically simulated with expressions involving matrices and that these expressions can also simulate phenomena that are modifications to Mendel's basic principles, like alleles that give rise to quantitative effects and traits that are the expression of multiple alleles and/or multiple genetic loci. PMID:26947775
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,…
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…
Formulation of natural shampoos.
Mainkar, A R; Jolly, C I
2001-02-01
Formulating cosmetics using completely natural raw materials is a difficult task. The challenge lies in selecting materials that can be rationally justified as 'natural' and formulating them into cosmetics whose functionality is comparable with their synthetic counterparts. The present paper focuses on the formulation of completely natural shampoos, their evaluation and comparison with commercial herbal shampoos. Attention is drawn to the fact that, due to the ambiguous definition of the word 'natural', several so-called natural cosmetics are available in the Indian market. It is up to the cosmetic chemists themselves to promote and encourage the development and use of truly natural cosmetics.
Reactive decontamination formulation
Giletto, Anthony; White, William; Cisar, Alan J.; Hitchens, G. Duncan; Fyffe, James
2003-05-27
The present invention provides a universal decontamination formulation and method for detoxifying chemical warfare agents (CWA's) and biological warfare agents (BWA's) without producing any toxic by-products, as well as, decontaminating surfaces that have come into contact with these agents. The formulation includes a sorbent material or gel, a peroxide source, a peroxide activator, and a compound containing a mixture of KHSO.sub.5, KHSO.sub.4 and K.sub.2 SO.sub.4. The formulation is self-decontaminating and once dried can easily be wiped from the surface being decontaminated. A method for decontaminating a surface exposed to chemical or biological agents is also disclosed.
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.
Dilemma in Teaching Mathematics
ERIC Educational Resources Information Center
Md Kamaruddin, Nafisah Kamariah; Md Amin, Zulkarnain
2012-01-01
The challenge in mathematics education is finding the best way to teach mathematics. When students learn the reasoning and proving in mathematics, they will be proficient in mathematics. Students must know mathematics before they can apply it. Symbolism and logic is the key to both the learning of mathematics and its effective application to…
Integrated Formulation of Beacon-Based Exception Analysis for Multimissions
NASA Technical Reports Server (NTRS)
Mackey, Ryan; James, Mark; Park, Han; Zak, Mickail
2003-01-01
Further work on beacon-based exception analysis for multimissions (BEAM), a method of real-time, automated diagnosis of a complex electromechanical systems, has greatly expanded its capability and suitability of application. This expanded formulation, which fully integrates physical models and symbolic analysis, is described. The new formulation of BEAM expands upon previous advanced techniques for analysis of signal data, utilizing mathematical modeling of the system physics, and expert-system reasoning,
Shankar Subramaniam
2009-04-01
This final project report summarizes progress made towards the objectives described in the proposal entitled “Developing New Mathematical Models for Multiphase Flows Based on a Fundamental Probability Density Function Approach”. Substantial progress has been made in theory, modeling and numerical simulation of turbulent multiphase flows. The consistent mathematical framework based on probability density functions is described. New models are proposed for turbulent particle-laden flows and sprays.
Teaching Mathematical Modeling in Mathematics Education
ERIC Educational Resources Information Center
Saxena, Ritu; Shrivastava, Keerty; Bhardwaj, Ramakant
2016-01-01
Mathematics is not only a subject but it is also a language consisting of many different symbols and relations. Taught as a compulsory subject up the 10th class, students are then able to choose whether or not to study mathematics as a main subject. The present paper discusses mathematical modeling in mathematics education. The article provides…
Mathematical Formulation of Multivariate Euclidean Models for Discrimination Methods.
ERIC Educational Resources Information Center
Mullen, Kenneth; Ennis, Daniel M.
1987-01-01
Multivariate models for the triangular and duo-trio methods are described, and theoretical methods are compared to a Monte Carlo simulation. Implications are discussed for a new theory of multidimensional scaling which challenges the traditional assumption that proximity measures and perceptual distances are monotonically related. (Author/GDC)
Edwards, A W F
2011-03-01
Ernst Mayr called the first part of the evolutionary synthesis the 'Fisherian synthesis' on account of the dominant role played by R.A. Fisher in forging a mathematical theory of natural selection together with J.B.S. Haldane and Sewall Wright in the decade 1922-1932. It is here argued that Fisher's contribution relied on a close reading of Darwin's work to a much greater extent than did the contributions of Haldane and Wright, that it was synthetic in contrast to their analytic approach and that it was greatly influenced by his friendship with the Darwin family, particularly with Charles's son Leonard. PMID:21423339
The Role of Mathematics Learning Centres in Engineering Education.
ERIC Educational Resources Information Center
Fuller, Milton
2002-01-01
Points out the diminishing demand for mathematics undergraduate programs and the strong trend in engineering education to make greater use of computer coursework such as Mathcad, Matlab, and other software systems for the mathematical and statistical components of engineering programs. Describes the changing role of mathematics learning centers…
Reforming Science and Mathematics Education
NASA Astrophysics Data System (ADS)
Lagowski, J. J.
1995-09-01
Since 1991, the National Science Foundation has signed cooperative agreements with 26 states to undertake ambitious and comprehensive initiatives to reform science, mathematics, and technology education. Collectively, those agreements are known as the State Systemic Initiatives (SSI's). Two complimentary programs, The Urban and Rural Systemic Initiatives (USI's and RSI's), address similar reforms in the nation's largest cities and poorest rural areas. The SSI Program departs significantly from past NSF practice in several ways. The funding is for a longer term and is larger in amount, and the NSF is taking a more activist role, seeking to leverage state and private funds and promote the coordination of programs within states. The Initiatives also have a stronger policy orientation than previous NSF programs have had. The NSF strategy is a reflection of the growing and widely held view that meaningful reforms in schools are most likely to be achieved through state initiatives that set clear and ambitious learning goals and standards; align all of the available policy levers in support of reform; stimulate school-level initiatives; and mobilize human and financial resources to support these changes. Two premises underlie systemic reform: (1) all children can meet significantly higher standards if they are asked to do so and given adequate opportunities to master the content, and (2) state and local policy changes can create opportunities by giving schools strong and consistent signals about the changes in practice and performance that are expected. Because this is an enormous investment of Federal resources that is intended to bring about deep, systemic improvement in the nation's ability to teach science and mathematics effectively, the NSF has contracted with a consortium of independent evaluators to conduct a review of the program. The first of the SSI's were funded in 1991, sufficiently long ago to begin to formulate some initial impressions of their impact. Take
On Double-Entry Bookkeeping: The Mathematical Treatment
ERIC Educational Resources Information Center
Ellerman, David
2014-01-01
Double-entry bookkeeping (DEB) implicitly uses a specific mathematical construction, the group of differences using pairs of unsigned numbers ("T-accounts"). That construction was only formulated abstractly in mathematics in the nineteenth century, even though DEB had been used in the business world for over five centuries. Yet the…
Cross-Cultural Predictors of Mathematical Talent and Academic Productivity
ERIC Educational Resources Information Center
Nokelainen, Petri; Tirri, Kirsi; Campbell, James Reed
2004-01-01
The main goal of this paper is to investigate cross-cultural factors that predict academic ability among mathematically gifted Olympians in Finland and the United States. The following two research problems are formulated: (1) What factors contribute to or impede the development of the Olympians' mathematic talent? and (2) Do the Olympians fulfill…
Mathematical Sketching: An Approach to Making Dynamic Illustrations
NASA Astrophysics Data System (ADS)
Laviola, Joseph J.
Mathematical sketching is a pen-based, gestural interaction paradigm for mathematics problem solving. It derives from the familiar pencil-and-paper process of drawing supporting diagrams to facilitate the formulation of mathematical expressions; however, with mathematical sketching, users can also leverage their physical intuition by watching their hand-drawn diagrams animate in response to continuous or discrete parameter changes in their written formulas. Diagram animation is driven by implicit associations that are inferred, either automatically or with gestural guidance, from mathematical expressions, diagram labels, and drawing elements. In this chapter, we discuss the important issues related to the mathematical sketching paradigm such as the development of a fluid gestural user interface, recognition of mathematical expressions, and the preparation and translation of mathematical sketches into animated illustrations.
Guidelines for Developing a Mathematics Laboratory.
ERIC Educational Resources Information Center
Dittmer, Karen Ann
The purpose of this study was to determine the current status of mathematics laboratories in secondary schools and to formulate guidelines for their further development. Based on questionnaires returned by 137 teachers and 51 state supervisors, the findings were organized into eight areas: teacher preparation, profile of the laboratory situation,…
ERIC Educational Resources Information Center
Adamu, L. E.
2015-01-01
The purpose of the study was to determine the relationship between scores in mathematics knowledge and teaching practice of Diploma mathematics students. A sample of 39 students was used. Two research questions and two hypotheses were asked and formulated respectively. An ex-post facto correlation design was used. The data were analyzed using…
ERIC Educational Resources Information Center
PATE, ROBERT T.; SLOAN, FRED A.
TEACHER-STUDENT INTERACTIONS WERE STUDIED IN (1) A TRADITIONAL MATHEMATICS PROGRAM, AND (2) A NEW MATHEMATICS PROGRAM BASED ON PROCEDURES ASSOCIATED WITH THE PROCESS OF DISCOVERY AND INQUIRY AND THE USE OF SYMBOLIC LOGIC. FORTY CLASSES OF REGULARLY ENROLLED FOURTH-GRADE STUDENTS PARTICIPATED IN THE STUDY. DURING OBSERVATIONS OF EACH CLASS, THE…
Five Departures in Logic, Mathematics, and thus—Whether We Like It, or Not—in Physics as Well...
NASA Astrophysics Data System (ADS)
Rosinger, Elemér E.
2015-07-01
Physics depends on "physical intuition", much of which is formulated in terms of Mathematics. Mathematics itself depends on Logic. The paper presents three latest novelties in Logic which have major consequences in Mathematics. Further, it presents two possible significant departures in Mathematics itself. These five departures can have major implications in Physics. Some of them are indicated, among them in Quantum Mechanics and Relativity.
Granulated decontamination formulations
Tucker, Mark D.
2007-10-02
A decontamination formulation and method of making that neutralizes the adverse health effects of both chemical and biological compounds, especially chemical warfare (CW) and biological warfare (BW) agents, and toxic industrial chemicals. The formulation provides solubilizing compounds that serve to effectively render the chemical and biological compounds, particularly CW and BW compounds, susceptible to attack, and at least one reactive compound that serves to attack (and detoxify or kill) the compound. The formulation includes at least one solubilizing agent, a reactive compound, a sorbent additive, and water. A highly adsorbent sorbent additive (e.g., amorphous silica, sorbitol, mannitol, etc.) is used to "dry out" one or more liquid ingredients into a dry, free-flowing powder that has an extended shelf life, and is more convenient to handle and mix in the field.
Advanced protein formulations.
Wang, Wei
2015-07-01
It is well recognized that protein product development is far more challenging than that for small-molecule drugs. The major challenges include inherent sensitivity to different types of stresses during the drug product manufacturing process, high rate of physical and chemical degradation during long-term storage, and enhanced aggregation and/or viscosity at high protein concentrations. In the past decade, many novel formulation concepts and technologies have been or are being developed to address these product development challenges for proteins. These concepts and technologies include use of uncommon/combination of formulation stabilizers, conjugation or fusion with potential stabilizers, site-specific mutagenesis, and preparation of nontraditional types of dosage forms-semiaqueous solutions, nonfreeze-dried solid formulations, suspensions, and other emerging concepts. No one technology appears to be mature, ideal, and/or adequate to address all the challenges. These gaps will likely remain in the foreseeable future and need significant efforts for ultimate resolution.
Wang, Wei
2015-01-01
It is well recognized that protein product development is far more challenging than that for small-molecule drugs. The major challenges include inherent sensitivity to different types of stresses during the drug product manufacturing process, high rate of physical and chemical degradation during long-term storage, and enhanced aggregation and/or viscosity at high protein concentrations. In the past decade, many novel formulation concepts and technologies have been or are being developed to address these product development challenges for proteins. These concepts and technologies include use of uncommon/combination of formulation stabilizers, conjugation or fusion with potential stabilizers, site-specific mutagenesis, and preparation of nontraditional types of dosage forms—semiaqueous solutions, nonfreeze-dried solid formulations, suspensions, and other emerging concepts. No one technology appears to be mature, ideal, and/or adequate to address all the challenges. These gaps will likely remain in the foreseeable future and need significant efforts for ultimate resolution. PMID:25858529
Formulation of Automotive Lubricants
NASA Astrophysics Data System (ADS)
Atkinson, D.; Brown, A. J.; Jilbert, D.; Lamb, G.
The formulation of lubricants for current light- and heavy-duty vehicles (passenger cars and trucks) and also motorcycles/small engines is described in terms of engine types and meeting European, US and Japanese emission control requirements. Trends in the formulation of lubricants are discussed and the importance of high and low 'SAPS' for future developments emphasised. Specification and evaluation of lubricant performance for light-vehicle gasoline and diesel, and also heavy-duty diesel engines are described. Emphasis is given to diesel engine cleanliness by soot and deposit control and the effect of emission controls on lubricant formulation. The lubricant requirements for motorcycle and small engines, primarily two-stroke cycle, and their specifications are described.
Authenticity of Mathematical Modeling
ERIC Educational Resources Information Center
Tran, Dung; Dougherty, Barbara J.
2014-01-01
Some students leave high school never quite sure of the relevancy of the mathematics they have learned. They fail to see links between school mathematics and the mathematics of everyday life that requires thoughtful decision making and often complex problem solving. Is it possible to bridge the gap between school mathematics and the mathematics in…
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.
The mathematical modeling of rapid solidification processing. Ph.D. Thesis. Final Report
NASA Technical Reports Server (NTRS)
Gutierrez-Miravete, E.
1986-01-01
The detailed formulation of and the results obtained from a continuum mechanics-based mathematical model of the planar flow melt spinning (PFMS) rapid solidification system are presented and discussed. The numerical algorithm proposed is capable of computing the cooling and freezing rates as well as the fluid flow and capillary phenomena which take place inside the molten puddle formed in the PFMS process. The FORTRAN listings of some of the most useful computer programs and a collection of appendices describing the basic equations used for the modeling are included.
Mathematical aspects of finite element methods for incompressible viscous flows
NASA Technical Reports Server (NTRS)
Gunzburger, M. D.
1986-01-01
Mathematical aspects of finite element methods are surveyed for incompressible viscous flows, concentrating on the steady primitive variable formulation. The discretization of a weak formulation of the Navier-Stokes equations are addressed, then the stability condition is considered, the satisfaction of which insures the stability of the approximation. Specific choices of finite element spaces for the velocity and pressure are then discussed. Finally, the connection between different weak formulations and a variety of boundary conditions is explored.
ERIC Educational Resources Information Center
Olson, Alton T.
1989-01-01
Discusses the use of the recursive method to permutations of n objects and a problem making c cents in change using pennies and nickels when order is important. Presents a LOGO program for the examples. (YP)
A Multifaceted Mathematical Approach for Complex Systems
Alexander, F.; Anitescu, M.; Bell, J.; Brown, D.; Ferris, M.; Luskin, M.; Mehrotra, S.; Moser, B.; Pinar, A.; Tartakovsky, A.; Willcox, K.; Wright, S.; Zavala, V.
2012-03-07
Applied mathematics has an important role to play in developing the tools needed for the analysis, simulation, and optimization of complex problems. These efforts require the development of the mathematical foundations for scientific discovery, engineering design, and risk analysis based on a sound integrated approach for the understanding of complex systems. However, maximizing the impact of applied mathematics on these challenges requires a novel perspective on approaching the mathematical enterprise. Previous reports that have surveyed the DOE's research needs in applied mathematics have played a key role in defining research directions with the community. Although these reports have had significant impact, accurately assessing current research needs requires an evaluation of today's challenges against the backdrop of recent advances in applied mathematics and computing. To address these needs, the DOE Applied Mathematics Program sponsored a Workshop for Mathematics for the Analysis, Simulation and Optimization of Complex Systems on September 13-14, 2011. The workshop had approximately 50 participants from both the national labs and academia. The goal of the workshop was to identify new research areas in applied mathematics that will complement and enhance the existing DOE ASCR Applied Mathematics Program efforts that are needed to address problems associated with complex systems. This report describes recommendations from the workshop and subsequent analysis of the workshop findings by the organizing committee.
OPUS: A Fortran Program for Unsteady Opposed-Flowed Flames
H. G. Im; L. L. Raja; R. J. Kee; A. E. Lutz; L. R. Petzold
2000-07-01
OPUS is a Fortran program for computing unsteady combustion problems in an opposed-flow configuration using one-dimensional similarity coordinate. The code is an extension of the steady counterpart, OPPDIF, to transient problems by modifying the formulation to accommodate gasdynamic compressibility effects, allowing high-accuracy time integration with adaptive time stepping. Time integration of the differential-algebraic system of equations is performed by the DASPK software package, while the Chemkin packages are used to compute chemical reaction rates and thermodynamic/transport properties. This document describes the details of the mathematical formulation and instruction for using the code.
ERIC Educational Resources Information Center
Kiboss, Joel Kipkemboi
2012-01-01
Achievement in mathematics is an issue of great concern not only to students and parents but also to employers and researchers in Kenya. This is because the Kenya National Examination Council (KNEC) has continuously reported dismal results in this area, and especially in geometry. Also, KNEC indicates that it presents difficulties to both the…
ERIC Educational Resources Information Center
Oxberger, Nancy; Sollenbarger, Sherry
Mathematics activities and materials for teaching and reinforcing number concepts are presented. The activities, which rely primarily on number cards, are divided into the following sections: (1) sets less than ten; (2) the teen numbers; (3) sets and numerals to 100; (4) numeration; and (5) words that represent numbers (e.g., "one=1"). An…
ERIC Educational Resources Information Center
Triangle Coalition for Science and Technology Education, College Park, MD.
A conference was held to discuss educational issues related to mathematics and science education. This document reports the proceedings of the conference by summarizing the comments of several of the conference speakers. The speakers and topics discussed included: (1) Senator Mark Hatfield and Congressman Thomas Sawyer on the perspective of…
ERIC Educational Resources Information Center
Sirinides, Philip; Supovitz, Jonathan; Tognatta, Namrata; May, Henry
2013-01-01
Beginning in 2005, the GE Foundation initiated a commitment of expertise and financial resources to a set of urban school districts to improve public education and enhance student achievement in mathematics and science. This report analyzes the impacts of the GE Foundation commitment to the partner districts by examining trends in student…
ERIC Educational Resources Information Center
Kuzle, Ana; Biehler, Rolf
2015-01-01
In this paper, we report on the training practices of 12 mathematics mentor teachers who developed and implemented five short professional development courses after participating in a 5-month continuous professional development course "Competence-oriented teaching and learning of data analysis." The intention of this course was to deepen…
ERIC Educational Resources Information Center
Davis-Van Atta, David, Ed.
This guide, published for the first time, provides prospective college students detailed information on 190 United States colleges and universities identified as having very strong track records in the sciences and mathematics. Following a description of how institutions were identified for inclusion by David Davis-Van Atta, and a discussion on…
NASA Technical Reports Server (NTRS)
Yen, C. L.
1973-01-01
The results are presented of one phase of research conducted for the JPL Solar Electric Propulsion (SEP) Navigation Software System development program. It deals only with the problem of designing the flight quality trajectory program, which is a major subset of the entire navigation software system. In this phase of research (breadboard development phase), attempts were made to assess the SEP trajectory software functional requirements, to investigate the program design method satisfying these requirements, to identify the primary anticipated problem areas, and to provide solutions to these problem areas. These efforts culminated in the development of a compact breadboard program. A functional description and the mathematical formulation of the program are presented.
Keystone Method: A Learning Paradigm in Mathematics
ERIC Educational Resources Information Center
Siadat, M. Vali; Musial, Paul M.; Sagher, Yoram
2008-01-01
This study reports the effects of an integrated instructional program (the Keystone Method) on the students' performance in mathematics and reading, and tracks students' persistence and retention. The subject of the study was a large group of students in remedial mathematics classes at the college, willing to learn but lacking basic educational…
Using Calculators in Mathematics 11. Student Text.
ERIC Educational Resources Information Center
Rising, Gerald R.; And Others
This student textbook is designed to incorporate programable calculators in grade 11 mathematics. The eight chapters contained in this document are: (1) Using Calculators in Mathematics; (2) Exponents and Logarithms; (3) Trigonometry of the Right Triangle; (4) Trigonometry Beyong the Right Triangle; (5) Graphs of the Trigonometric Functions and…