Alternative mathematical programming formulations for FSS synthesis
NASA Technical Reports Server (NTRS)
Reilly, C. H.; Mount-Campbell, C. A.; Gonsalvez, D. J. A.; Levis, C. A.
1986-01-01
A variety of mathematical programming models and two solution strategies are suggested for the problem of allocating orbital positions to (synthesizing) satellites in the Fixed Satellite Service. Mixed integer programming and almost linear programming formulations are presented in detail for each of two objectives: (1) positioning satellites as closely as possible to specified desired locations, and (2) minimizing the total length of the geostationary arc allocated to the satellites whose positions are to be determined. Computational results for mixed integer and almost linear programming models, with the objective of positioning satellites as closely as possible to their desired locations, are reported for three six-administration test problems and a thirteen-administration test problem.
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.
Solution of mathematical programming formulations of subgame perfect equilibrium problems
Macal, C.M.; Hurter, A.P.
1992-02-12
Mathematical programming models have been developed to represent imperfectly competitive (oligopolistic) market structures and the interdependencies of decision-making units in establishing prices and production levels. The solution of these models represents an economic equilibrium. A subgame perfect equilibrium formulation explicitly considers that each agent`s strategies depend on the current state of the system; the state depends solely on previous decisions made by the economic agents. The structure of an industry-wide model that is formulated as a subgame perfect equilibrium problem is a matrix of simultaneous mathematical programming problems, where the rows represent time periods and the columns represent agents. This paper formally defines the subgame perfect equilibrium problem that includes mathematical programs for agent decision problems, and it characterizes the feasible space in a way that is conducive to the solution of the problem. The existence of equilibrium solutions on convex subspaces of the feasible region is proved, and this set is shown to contain the subgame perfect equilibrium solutions. A procedure for computing equilibrium solutions and systematically searching the subspaces is illustrated by a numerical example.
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.
Mathematical Formulation of Multilayer Networks
NASA Astrophysics Data System (ADS)
De Domenico, Manlio; Solé-Ribalta, Albert; Cozzo, Emanuele; Kivelä, Mikko; Moreno, Yamir; Porter, Mason A.; Gómez, Sergio; Arenas, Alex
2013-10-01
A network representation is useful for describing the structure of a large variety of complex systems. However, most real and engineered systems have multiple subsystems and layers of connectivity, and the data produced by such systems are very rich. Achieving a deep understanding of such systems necessitates generalizing “traditional” network theory, and the newfound deluge of data now makes it possible to test increasingly general frameworks for the study of networks. In particular, although adjacency matrices are useful to describe traditional single-layer networks, such a representation is insufficient for the analysis and description of multiplex and time-dependent networks. One must therefore develop a more general mathematical framework to cope with the challenges posed by multilayer complex systems. In this paper, we introduce a tensorial framework to study multilayer networks, and we discuss the generalization of several important network descriptors and dynamical processes—including degree centrality, clustering coefficients, eigenvector centrality, modularity, von Neumann entropy, and diffusion—for this framework. We examine the impact of different choices in constructing these generalizations, and we illustrate how to obtain known results for the special cases of single-layer and multiplex networks. Our tensorial approach will be helpful for tackling pressing problems in multilayer complex systems, such as inferring who is influencing whom (and by which media) in multichannel social networks and developing routing techniques for multimodal transportation systems.
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.
Preparatory Mathematics Programs in Departments of Mathematics.
ERIC Educational Resources Information Center
Lindberg, Karl
This paper reports on a survey of remedial mathematics programs offered at the college level. The paper is divided into five sections. Section I describes the sampling procedures used in the study. In Section II, the occurrence of remedial mathematics programs in the various types of institutions and some general characteristics of these programs…
MAPP: A Mathematics Placement Program.
ERIC Educational Resources Information Center
Doblin, Stephen A.
1978-01-01
MAPP (A Mathematics Placement Program) uses two COBOL programs to place entering freshmen in mathematics courses which are commensurate with their backgrounds and abilities. Having been used for three years, the program is considered to be a viable alternative to the traditional mathematics placement process. (Author/JKS)
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.
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)
MATHEMATICAL ENGINEERING, A FIVE YEAR PROGRAM.
ERIC Educational Resources Information Center
ANDERSON, RICHARD D.
THIS REPORT OF THE COMMITTEE ON THE UNDERGRADUATE PROGRAM IN MATHEMATICS (CUPM) DESCRIBES A PROPOSED FIVE-YEAR PROGRAM FOR THE UNDERGRADUATE PREPARATION OF STUDENTS IN MATHEMATICAL ENGINEERING. THE MAJOR PURPOSES OF THIS PROGRAM ARE TO PREPARE STUDENTS IN THE MATHEMATICAL SCIENCES, TO ENABLE THEM TO APPLY THIS EDUCATION TO THE COMPLICATED…
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...
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…
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…
Annotated Bibliography of Mathematics Resources. Program Resources.
ERIC Educational Resources Information Center
Markus, Nancy L.
Two bibliographies that review 18 books and resource materials that adult educators can use to teach mathematics in adult literacy classes are included. The materials are suggested to help teachers implement an effective, successful mathematics program, using many of the strategies recommended by the National Council of Teachers of Mathematics.…
Structural design using equilibrium programming formulations
NASA Astrophysics Data System (ADS)
Scotti, Stephen J.
1995-06-01
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.
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.…
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.
A mathematical formulation of the random phase approximation for crystals
NASA Astrophysics Data System (ADS)
Cancès, Eric; Stoltz, Gabriel
2012-11-01
This works extends the recent study on the dielectric permittivity of crystals within the Hartree model [E. Cances and M. Lewin, Arch. Rational Mech. Anal., 197 (2010) 139--177] to the time-dependent setting. In particular, we prove the existence and uniqueness of the nonlinear Hartree dynamics (also called the random phase approximation in the physics literature), in a suitable functional space allowing to describe a local defect embedded in a perfect crystal. We also give a rigorous mathematical definition of the microscopic frequency-dependent polarization matrix, and derive the macroscopic Maxwell-Gauss equation for insulating and semiconducting crystals, from a first order approximation of the nonlinear Hartree model, by means of homogenization arguments.
Droppo, J.G. Jr.; Whelan, G.; Buck, J.W.; Strenge, D.L.; Hoopes, B.L.; Walter, M.B.; Knight, R.L.; Brown, S.M.
1989-12-01
The Multimedia Environmental Pollutant Assessment System (MEPAS) is a methodology for assessing relative health impacts from the release of hazardous chemical and radioactive materials. MEPAS is an enhanced version of the Remedial Action Priority System (RAPS). This document, a supplement to the RAPS documentation, contains an overview of MEPAS followed by detailed discussions of enhancements. MEPAS provides outputs of health impact parameters for use in ranking and screening applications. Environmental contaminant concentrations are used to estimate potential health impacts based on major exposure pathways. Enhancements to the groundwater, surface water, overland, atmospheric, and exposure components are documented. These enhancements include a revision in the integration method for the waterborne pathway, a wetland component, a gaseous emission (volatilization) component, an atmospheric complex terrain component, mass budget formulations, and environmental decay of chemical constituents. Several new exposure components are described along with enhancements to the exposure pathways computations. 18 refs., 7 figs., 5 tabs.
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.
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…
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)
Two mathematical programming models of cheese manufacture.
Burke, J A
2006-02-01
The standardization problem faced by cheese makers is formulated as a nonlinear programming problem using the assumptions of the Van Slyke cheese yield formula. The objective function of the model is to minimize the net cost of producing a given quantity of cheese subject to a set of production constraints. An approximation of the standardization problem formulated as a linear programming problem is also presented. Two different approaches to finding a solution are provided. The model is implemented in Microsoft Excel and solved with the standard add-in solver available in that program. An example is provided to contrast the difference between the nonlinear programming and its linear approximation, and a second example is used to illustrate the yield implications of ultrafiltered milk protein products in Cheddar cheese production. Additionally, a method for pricing inputs using the sensitivity analysis generated by the solver is demonstrated. PMID:16428648
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.
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.
Curriculum Development in Elementary Mathematics: 9 Programs.
ERIC Educational Resources Information Center
Devaney, Kathleen; Thorn, Lorraine
The following elementary mathematics curriculum development projects are described in this report: Madison Project, Arithmetic Project for Teachers, Nuffield Project, Individually Prescribed Instruction - Mathematics (IPI), Individualized Mathematics System (IMS), Patterns in Arithmetic (PIA), Minnesota Mathematics and Science Teaching Project…
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.
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.…
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.
A Mathematical Formulation of the SCOLE Control Problem. Part 2: Optimal Compensator Design
NASA Technical Reports Server (NTRS)
Balakrishnan, A. V.
1988-01-01
The study initiated in Part 1 of this report is concluded and optimal feedback control (compensator) design for stability augmentation is considered, following the mathematical formulation developed in Part 1. Co-located (rate) sensors and (force and moment) actuators are assumed, and allowing for both sensor and actuator noise, stabilization is formulated as a stochastic regulator problem. Specializing the general theory developed by the author, a complete, closed form solution (believed to be new with this report) is obtained, taking advantage of the fact that the inherent structural damping is light. In particular, it is possible to solve in closed form the associated infinite-dimensional steady-state Riccati equations. The SCOLE model involves associated partial differential equations in a single space variable, but the compensator design theory developed is far more general since it is given in the abstract wave equation formulation. The results thus hold for any multibody system so long as the basic model is linear.
ERIC Educational Resources Information Center
Joachimsthaler, Erich A.; Stam, Antonie
1990-01-01
Mathematical programing formulas are introduced as new approaches to solve the classification problem in discriminant analysis. The research literature is reviewed, and an illustration using a real-world classification problem is provided. Issues relevant to potential uses of these formulations are discussed. (TJH)
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…
Alternative Educational Programs for Gifted Students in Mathematics.
ERIC Educational Resources Information Center
House, Peggy A.
1983-01-01
Some alternatives available for meeting the needs of the mathematically gifted student at the secondary school level are examined. Along with curriculum modification are discussed such approaches as magnet programs, special schools, special classes, summer programs, and mentor programs. (MNS)
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;…
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…
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
Mathematical issues in a fully constrained formulation of the Einstein equations
Cordero-Carrion, Isabel; Ibanez, Jose Maria; Gourgoulhon, Eric; Novak, Jerome; Jaramillo, Jose Luis
2008-04-15
Bonazzola, Gourgoulhon, Grandclement, and Novak [Phys. Rev. D 70, 104007 (2004)] proposed a new formulation for 3+1 numerical relativity. Einstein equations result, according to that formalism, in a coupled elliptic-hyperbolic system. We have carried out a preliminary analysis of the mathematical structure of that system, in particular, focusing on the equations governing the evolution for the deviation of a conformal metric from a flat fiducial one. The choice of a Dirac gauge for the spatial coordinates guarantees the mathematical characterization of that system as a (strongly) hyperbolic system of conservation laws. In the presence of boundaries, this characterization also depends on the boundary conditions for the shift vector in the elliptic subsystem. This interplay between the hyperbolic and elliptic parts of the complete evolution system is used to assess the prescription of inner boundary conditions for the hyperbolic part when using an excision approach to black hole space-time evolutions.
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.
Chapter 1 Corrective Mathematics Program 1989-90. OREA Report.
ERIC Educational Resources Information Center
New York City Board of Education, Brooklyn, NY. Office of Research, Evaluation, and Assessment.
The Chapter 1 Corrective Mathematics Program provided supplementary mathematics instruction to Chapter 1-eligible students in New York City nonpublic schools. Its goals were to strengthen students' understanding of mathematical concepts, to improve their ability to perform computations and solve problems, and to assist them in applying the…
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.
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…
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.
NASA Astrophysics Data System (ADS)
Biswal, M. P.; Acharya, S.
2013-09-01
This article develops a multi-choice multi-objective linear programming model in order to solve an integrated production planning problem of a steel plant. The aim of the integrated production planning problem is to integrate the planning sub-functions into a single planning operation. The sub-functions are formulated by considering the capacity of different units of the plant, cost of raw materials from various territories, demands of customers in different geographical locations, time constraint for delivery the products, production cost and production rate at different stages of production process. Departure cost is also considered in the formulation of mathematical programming model. Some of the parameters are decided from a set of possible choices, therefore such parameters are considered as multi-choice type. Multi-choice mathematical programming problem cannot be solved directly. Therefore an equivalent multi-objective mathematical programming model is established in order to find the optimal solution of the problem. Computation of the mathematical programming model is performed with the practical production data of a plant to study the methodology.
Mathematics Program for Grades K-12
ERIC Educational Resources Information Center
Montgomery County Public Schools, 2013
2013-01-01
In the 21st century, a deep understanding of mathematics, and the ability to apply that understanding, is more important than it has ever been. In Montgomery County (Maryland) Public Schools (MCPS), and across the country, mathematics instruction is changing to provide students with the skills and knowledge they need for success in college and the…
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.
Mathematical issues in a fully constrained formulation of the Einstein equations
NASA Astrophysics Data System (ADS)
Cordero-Carrión, Isabel; Ibáñez, José María; Gourgoulhon, Eric; Jaramillo, José Luis; Novak, Jérôme
2008-04-01
Bonazzola, Gourgoulhon, Grandclément, and Novak [Phys. Rev. D 70, 104007 (2004)PRVDAQ0556-282110.1103/PhysRevD.70.104007] proposed a new formulation for 3+1 numerical relativity. Einstein equations result, according to that formalism, in a coupled elliptic-hyperbolic system. We have carried out a preliminary analysis of the mathematical structure of that system, in particular, focusing on the equations governing the evolution for the deviation of a conformal metric from a flat fiducial one. The choice of a Dirac gauge for the spatial coordinates guarantees the mathematical characterization of that system as a (strongly) hyperbolic system of conservation laws. In the presence of boundaries, this characterization also depends on the boundary conditions for the shift vector in the elliptic subsystem. This interplay between the hyperbolic and elliptic parts of the complete evolution system is used to assess the prescription of inner boundary conditions for the hyperbolic part when using an excision approach to black hole space-time evolutions.
NASA Astrophysics Data System (ADS)
Alsaleh, Mustafa I.; Voyiadjis, George Z.; Alshibli, Khalid A.
2006-12-01
It has been known that classical continuum mechanics laws fail to describe strain localization in granular materials due to the mathematical ill-posedness and mesh dependency. Therefore, a non-local theory with internal length scales is needed to overcome such problems. The micropolar and high-order gradient theories can be considered as good examples to characterize the strain localization in granular materials. The fact that internal length scales are needed requires micromechanical models or laws; however, the classical constitutive models can be enhanced through the stress invariants to incorporate the Micropolar effects. In this paper, Lade's single hardening model is enhanced to account for the couple stress and Cosserat rotation and the internal length scales are incorporated accordingly. The enhanced Lade's model and its material properties are discussed in detail; then the finite element formulations in the Updated Lagrangian Frame (UL) are used. The finite element formulations were implemented into a user element subroutine for ABAQUS (UEL) and the solution method is discussed in the companion paper. The model was found to predict the strain localization in granular materials with low dependency on the finite element mesh size. The shear band was found to reflect on a certain angle when it hit a rigid boundary. Applications for the model on plane strain specimens tested in the laboratory are discussed in the companion paper. Copyright
The Kramer Story: Implementation of a Revised Primary Mathematics Program.
ERIC Educational Resources Information Center
Wesson, James B.
1992-01-01
Reports development and results of the Kramer Project, a two-year study of the implementation of a problem-solving, activity-based mathematics program in the elementary grades. Describes the mathematical content covered, participating teachers, instructional materials employed, inservice teacher training provided, and academic achievement gains of…
Effective Programs in Elementary Mathematics: A Best-Evidence Synthesis
ERIC Educational Resources Information Center
Slavin, Robert E.; Lake, Cynthia
2008-01-01
This article reviews research on the achievement outcomes of three types of approaches to improving elementary mathematics: mathematics curricula, computer-assisted instruction (CAI), and instructional process programs. Study inclusion requirements included use of a randomized or matched control group, a study duration of at least 12 weeks, and…
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),…
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…
MAPCLUS: A Mathematical Programming Approach to Fitting the ADCLUS Model.
ERIC Educational Resources Information Center
Arabie, Phipps
1980-01-01
A new computing algorithm, MAPCLUS (Mathematical Programming Clustering), for fitting the Shephard-Arabie ADCLUS (Additive Clustering) model is presented. Details and benefits of the algorithm are discussed. (Author/JKS)
Programed Learning and Mathematical Education, A CEM Study.
ERIC Educational Resources Information Center
May, Kenneth O.
This study reports on the position of programed learning in the teaching of college mathematics. A historical survey is given describing the following programing styles: Skinner, Crowder, eclectic, hybrid, Pressey, and problem. Conclusions based on research are given to claims about the benefits of programing including those of: providing for…
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…
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…
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. PMID:24407298
Integrating Programming into Mathematics: Math 20.
ERIC Educational Resources Information Center
Hunka, Dan; And Others
An elective unit was developed for a course (Math 20) which would teach students to program solutions to typical exercises. Development of the unit took place in a large senior high school in Alberta. The elective is 15 hours long, with the first five hours devoted to learning programming fundamentals and the final ten hours to programming…
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.
Short description of mathematical support programs for space experiments in the Interkosmos program
NASA Technical Reports Server (NTRS)
Elyasberg, P. Y.
1979-01-01
A synopsis of programs of mathematical support designed at the Institute for Cosmic Research of the USSR Academy of Sciences for cosmic experiments being conducted in the Interkosmos Program is presented. A short description of the appropriate algorithm is given.
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…
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…
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.
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…
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…
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.
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.
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.
Program Helps Generate Boundary-Element Mathematical Models
NASA Technical Reports Server (NTRS)
Goldberg, R. K.
1995-01-01
Composite Model Generation-Boundary Element Method (COM-GEN-BEM) computer program significantly reduces time and effort needed to construct boundary-element mathematical models of continuous-fiber composite materials at micro-mechanical (constituent) scale. Generates boundary-element models compatible with BEST-CMS boundary-element code for anlaysis of micromechanics of composite material. Written in PATRAN Command Language (PCL).
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…
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
Kalchman, Mindy
1997-01-01
Describes the "Structures" mathematics program, designed to help primary teachers learn mathematics through play and to achieve goals of the Mathematics strand within Canada's Common Curriculum. Presents grade 3 learning outcomes that are cross-referenced to each mathematics learning strand, patterning and algebra, geometry and spatial sense,…
ERIC Educational Resources Information Center
Fullilove, Robert E.; Treisman, Philip Uri
1990-01-01
Describes and evaluates the Mathematics Workshop Program (MWP), which recruits first-year students of all races but typically enrolls primarily minority students. Data clearly suggest that MWP has succeeded in promoting high levels of academic performance among African American mathematics students. (AF)
Committee on the Undergraduate Program in Mathematics Newsletter Number 6.
ERIC Educational Resources Information Center
Mielke, Paul T., Ed.; And Others
This article presents suggestions to the beginning teacher of college mathematics. It is felt that he should have a knowledge of: (1) the general character of mathematics and its place in our culture, (2) mathematics as a language, (3) mathematics as an art, and (4) mathematics as a science. Suggested principles include: (1) never introduce a new…
The Alberta K-9 Mathematics Program of Studies with Achievement Indicators
ERIC Educational Resources Information Center
Alberta Education, 2007
2007-01-01
The "Alberta K-9 Mathematics Program of Studies with Achievement Indicators" has been derived from "The Common Curriculum Framework for K-9 Mathematics: Western and Northern Canadian Protocol," May 2006 (the Common Curriculum Framework). The program of studies incorporates the conceptual framework for Kindergarten to Grade 9 Mathematics and the…
Number Theory. Mathematics-Methods Program Unit. Student Manual [and] Instructor's Manual.
ERIC Educational Resources Information Center
Thompson, Maynard; And Others
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…
Nonlinear Mathematical Programming for Optimal Management of Container Terminals
NASA Astrophysics Data System (ADS)
Seyedalizadeh Ganji, S. R.; Javanshir, H.; Vaseghi, F.
Berth scheduling is the process of determining the time and position at which each arriving ship will berth. This paper attempts to minimize the serving time to ships, after introducing a proposed mathematical model, considers the berth allocation problem in form of mixed integer nonlinear programming. Then, to credit the proposed model, the results of Imai et al.'s model have been used. The results indicate that because the number of nonlinear variables in the proposed model is less than prior model, so by using the proposed model, we can obtain the results of model in less time rather than prior model.
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. PMID:23226239
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.
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.
Program to Optimize Simulated Trajectories (POST). Volume 1: Formulation manual
NASA Technical Reports Server (NTRS)
Brauer, G. L.; Cornick, D. E.; Habeger, A. R.; Petersen, F. M.; Stevenson, R.
1975-01-01
A general purpose FORTRAN program for simulating and optimizing point mass trajectories (POST) of aerospace vehicles is described. The equations and the numerical techniques used in the program are documented. Topics discussed include: coordinate systems, planet model, trajectory simulation, auxiliary calculations, and targeting and optimization.
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.}
Modularity-maximizing graph communities via mathematical programming
NASA Astrophysics Data System (ADS)
Agarwal, G.; Kempe, D.
2008-12-01
In many networks, it is of great interest to identify communities, unusually densely knit groups of individuals. Such communities often shed light on the function of the networks or underlying properties of the individuals. Recently, Newman suggested modularity as a natural measure of the quality of a network partitioning into communities. Since then, various algorithms have been proposed for (approximately) maximizing the modularity of the partitioning determined. In this paper, we introduce the technique of rounding mathematical programs to the problem of modularity maximization, presenting two novel algorithms. More specifically, the algorithms round solutions to linear and vector programs. Importantly, the linear programing algorithm comes with an a posteriori approximation guarantee: by comparing the solution quality to the fractional solution of the linear program, a bound on the available “room for improvement” can be obtained. The vector programming algorithm provides a similar bound for the best partition into two communities. We evaluate both algorithms using experiments on several standard test cases for network partitioning algorithms, and find that they perform comparably or better than past algorithms, while being more efficient than exhaustive techniques.
Oh, S.H.; Bissett, E.J.; Battiston, P.A. )
1993-08-01
It has been widely recognized that a large fraction of CO and HC emissions occurs during the cold-start portion of the Federal Test Procedure (FTP) driving schedule. The previously-developed transient monolith model has been extended to describe the thermal response and conversion performance of an electrically heated monolith converter during warmup. This paper documents the necessary modifications in the model formulation and in the numerical solution methods to accommodate the more severe operating conditions encountered in heated converters. The validity of the heated converter model was tested by comparing model predictions with vehicle emission test data. Model predictions of converter-bed temperatures and converter-out mass emissions agree well with those measured during the cold-start portion of the vehicle emission tests, thus demonstrating the validity of the heated converter model developed here.
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
The Impact of a Summer Mathematics and Technology Program for Middle School Girls.
ERIC Educational Resources Information Center
Wiest, Lynda R.
This paper describes a mathematics and technology program for northern Nevada middle school girls. The purpose of the research is to investigate the impact of an intensive, single-sex, out-of-school program on middle school girls' attitudes and perceived abilities in mathematics and technology. To date the program consists of a one-week,…
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…
Minimum-jerk online planning by a mathematical programming approach
NASA Astrophysics Data System (ADS)
Canali, Federico; Guarino Lo Bianco, Corrado; Locatelli, Marco
2014-06-01
Engineering applications are often handled by means of algorithms for constrained optimization. Currently, more frequently than in the past, the need for fast solvers that admit convergence times compatible with those of online applications is strongly felt. Such a need poses new additional implementation requirements, since the convergence of the mathematical programming algorithms is no longer sufficient to allow their use, but, conversely, such convergence must be achieved in very limited times. This article proposes an efficient approach for a constrained minimum-jerk online planning problem. In particular, the robotic application considered requires accounting for time, distance, velocity and acceleration constraints. The proposed approach returns good quality solutions by admitting execution times that meet the online requirements. Comparisons with a previously adopted strategy are proposed.
Scheduling IT staff at a bank: a mathematical programming approach.
Labidi, M; Mrad, M; Gharbi, A; Louly, M A
2014-01-01
We address a real-world optimization problem: the scheduling of a Bank Information Technologies (IT) staff. This problem can be defined as the process of constructing optimized work schedules for staff. In a general sense, it requires the allocation of suitably qualified staff to specific shifts to meet the demands for services of an organization while observing workplace regulations and attempting to satisfy individual work preferences. A monthly shift schedule is prepared to determine the shift duties of each staff considering shift coverage requirements, seniority-based workload rules, and staff work preferences. Due to the large number of conflicting constraints, a multiobjective programming model has been proposed to automate the schedule generation process. The suggested mathematical model has been implemented using Lingo software. The results indicate that high quality solutions can be obtained within a few seconds compared to the manually prepared schedules. PMID:24772032
Scheduling IT Staff at a Bank: A Mathematical Programming Approach
Labidi, M.; Mrad, M.; Gharbi, A.; Louly, M. A.
2014-01-01
We address a real-world optimization problem: the scheduling of a Bank Information Technologies (IT) staff. This problem can be defined as the process of constructing optimized work schedules for staff. In a general sense, it requires the allocation of suitably qualified staff to specific shifts to meet the demands for services of an organization while observing workplace regulations and attempting to satisfy individual work preferences. A monthly shift schedule is prepared to determine the shift duties of each staff considering shift coverage requirements, seniority-based workload rules, and staff work preferences. Due to the large number of conflicting constraints, a multiobjective programming model has been proposed to automate the schedule generation process. The suggested mathematical model has been implemented using Lingo software. The results indicate that high quality solutions can be obtained within a few seconds compared to the manually prepared schedules. PMID:24772032
A mathematical programming model for reconfiguration of flexible manufacturing cells
NASA Astrophysics Data System (ADS)
Yılmaz, Ebru; Erol, Rızvan
2015-02-01
In flexible manufacturing cells, changes in demand size, product mix, part variety, existing routings and set-up/operation times may require reconfiguration of the cells. In this study, an approach is developed to decide when and how such a reconfiguration should be carried out for existing cells. This study considers reconfiguration in terms of changing part routings, adding a new machine type in a cell, duplicating an existing machine type, removing an existing machine from a cell and transferring a machine to another cell. The study also shows the total number of tools of each type on each machine located in each cell after reconfiguration. To make the optimal reconfiguration decisions, a mathematical programming model to minimize the total reconfiguration cost is developed. The developed model considers the lower and upper bounds on machine utilizations and the time limits on machine cycle times to decide when to reconfigure the system.
ERIC Educational Resources Information Center
Linn, Marcia C.; Kessel, Cathy; Lee, Kristen; Levenson, Janet; Spitulnik, Michelle; Slotta, James D.
This report offers guidance for those shaping policy and designing elementary and middle school science and mathematics courses that prepare students to be lifelong users of scientific and mathematical ideas. We have reviewed programs designed to improve elementary and middle school students' understanding of science and mathematics by…
Teaching and Learning High School Mathematics through Inquiry: Program Reviews and Recommendations.
ERIC Educational Resources Information Center
Linn, Marcia C.; Kessel, Cathy; Slotta, James D.
This report offers guidance for those shaping policy and designing high school mathematics courses that prepare students to be lifelong users of mathematical ideas. We have reviewed programs designed to improve high school students' understanding of mathematics by incorporating instructional technology effectively into the curriculum. Using…
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,…
Theory to Practice: Developmental Mathematics Program--A Model for Change
ERIC Educational Resources Information Center
Vasquez Mireles, Selina
2010-01-01
The Developmental Mathematics Program (DMP) at Texas State University-San Marcos in central Texas has undergone systemic, significant changes over the past ten years. These changes primarily resulted from the alignment to the American Mathematical Association of Two-Year Colleges' (AMATYC) Crossroads in Mathematics: Standards for Introductory…
Semidefinite programming formulation of linear-scaling electronic structure theories
NASA Astrophysics Data System (ADS)
Veeraraghavan, Srikant; Mazziotti, David A.
2015-08-01
We present a linear-scaling approach based on semidefinite programs (SDPs) to compute the density matrix for effective one-electron theories. Traditional methods constrain the density matrix to represent a Slater determinant and hence rely on parameterization or purification. We eliminate the need for such a constraint by performing an energy minimization over all the convex combinations of density matrices representing Slater determinants. By not relying on purification, the SDP approach not only eliminates accumulation error present in some methods but also reduces the amount of truncation error. Sparsity in the Hamiltonian can be exploited to make the SDP approach scale linearly with system size. Crossovers in computational time with a cubically scaling algorithm are demonstrated for one-dimensional hydrogen chains ranging from H50 to H1500.
A new mathematical programming model for scheduling flexible manufacturing systems
MacCarthy, B.; Liu, J.
1994-12-31
Flexibility is now a major consideration in the design of many manufacturing systems. Flexible manufacturing systems (FMS) have been developed in the last two decades. The principal elements of an FMS are (1) computer controlled machine tools, (2) a transport system and (3) a host computer system. Such systems may combine high flexibility with high productivity and may allow unsupervised production. However, in order to achieve these benefits, the control system must be capable of exercising intelligent supervisory management. Scheduling is at the heart of the control system and is still a major problem area. This paper describes a new mathematical programming model for a wide class of FMS scheduling problems based on a new classification scheme. A global optimization approach is adopted based on a mixed-integer linear programming model. Many important aspects of operational FMS, omitted form earlier models, are included. Key elements of model structure are highlighted. Computational experience with a comprehensive set of designed experiments is described. The applications of the model are noted and the development of effective heuristic procedures based on the model is highlighted.
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.
Stages in the Development of a Mathematics Intervention for Public Preschool Programs
ERIC Educational Resources Information Center
Klein, Alice; Starkey, Prentice; Molfese, Victoria; Brown, Elizabeth Todd; Molfese, Dennis
2009-01-01
The Scale-Up Pre-K Mathematics project, was conducted at a customary program-wide level of scale in Head Start and state-funded preschool programs in California and Kentucky/Indiana. The objectives of this randomized field trial were twofold: (1) to determine whether the intervention, the Pre-K Mathematics curriculum, continues to be effective…
Gaining Options: A Mathematics Program for Potentially Talented At-Risk Adolescent Girls
ERIC Educational Resources Information Center
Reid, Pamela Trotman; Roberts, Sally K.
2006-01-01
In response to indicators that a decline in interest in mathematics occurs among girls--particularly those from low-income and minority groups--during middle school, the GO-GIRL (Gaining Options: Girls Investigate Real Life) program was designed to help potentially talented at-risk girls. The program aimed to build mathematical confidence, skills,…
Examining How Teachers Use Graphs to Teach Mathematics during a Professional Development Program
ERIC Educational Resources Information Center
Bautista, Alfredo; Cañadas, María C.; Brizuela, Bárbara M.; Schliemann, Analúcia D.
2015-01-01
There are urgent calls for more studies examining the impact of Professional Development (PD) programs on teachers' instructional practices. In this study, we analyzed how grades 5-9 mathematics teachers used graphs to teach mathematics at the start and end of a PD program. This topic is relevant because while many studies have investigated…
Improving the Graduate School Experience for Women in Mathematics: the Edge Program
NASA Astrophysics Data System (ADS)
Bozeman, Sylvia T.; Hughes, Rhonda J.
For over a decade, Spelman College and Bryn Mawr College have collaborated on initiatives designed to increase the presence of women, with a special focus on women of color, in the upper ranks of mathematical science. The most recent initiative is the EDGE Program (Enhancing Diversity in Graduate Education), which addresses this challenge by attempting to decrease the loss of talent from U.S. graduate programs. To this end, the program provides structures that help women make successful transitions from undergraduate into graduate mathematics programs, redirect or refocus their ambitions when programs are inappropriate or unsuitable, and, ultimately, enable them to "accumulate advantages" that will empower them and foster success in their careers. A broader goal of this program is to diversify the mathematics community by creating models for mathematics programs that allow people from all backgrounds and cultures to thrive, advance, and contribute to the profession.
ERIC Educational Resources Information Center
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…
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
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…
Performance Analysis and Design Synthesis (PADS) computer program. Volume 1: Formulation
NASA Technical Reports Server (NTRS)
1972-01-01
The program formulation for PADS computer program is presented. It can size launch vehicles in conjunction with calculus-of-variations optimal trajectories and can also be used as a general-purpose branched trajectory optimization program. In the former use, it has the Space Shuttle Synthesis Program as well as a simplified stage weight module for optimally sizing manned recoverable launch vehicles. For trajectory optimization alone or with sizing, PADS has two trajectory modules. The first trajectory module uses the method of steepest descent; the second employs the method of quasilinearization, which requires a starting solution from the first trajectory module.
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. PMID:26391874
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. PMID:21903163
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…
A Mixed Method Analysis of the Ohio State University Mathematics Coaching Program Site Visits
ERIC Educational Resources Information Center
Graves, Kristi R.
2012-01-01
The purpose of this mixed-method case study was to uncover the common experiences of 69 first and second year mathematics coaches, bound by their participation in the Mathematics Coaching Program (MCP). Evidence supporting MCP implementation and the evolution of instructional practices were also investigated and reported. Interview, document, and…
SCIENCE AND MATHEMATICS SEMINAR. A PROGRAM FOR GIFTED SENIOR HIGH SCHOOL STUDENTS.
ERIC Educational Resources Information Center
PHILLIPPI, WOODROW L.; AND OTHERS
A VOLUNTEER, EXTRA-CURRICULAR PROGRAM FOR GIFTED STUDENTS IS DESCRIBED. TWO MAIN PURPOSES ARE--TO INTEREST AND STIMULATE GIFTED STUDENTS IN THE DEVELOPMENT AND BROADENING OF THEIR PERSPECTIVES IN THE SCIENCE AND MATHEMATICS FIELDS AND TO ENCOURAGE THESE STUDENTS TO UNDERTAKE A PROJECT IN THE FIELDS OF SCIENCE OR MATHEMATICS, IN THE NATURE OF…
Effective Programs in Elementary Mathematics: A Best-Evidence Synthesis. Version 1.2
ERIC Educational Resources Information Center
Slavin, Robert E.; Lake, Cynthia
2007-01-01
This article reviews research on the achievement outcomes of three types of approaches to improving elementary mathematics: Mathematics curricula, computer-assisted instruction (CAI), and instructional process programs. Study inclusion requirements included use of a randomized or matched control group, a study duration of 12 weeks, and achievement…
Teaching a Survey of Mathematics for College Students Using a Programming Language.
ERIC Educational Resources Information Center
LeCuyer, Edward J., Jr.
Using a textbook entitled "A Survey of Mathematics for College Students Using a Programming Language," an exploratory study was conducted to investigate the effectiveness of using APL and the computer in teaching a survey of mathematics course. The course was taught in two sections: one section was taught using APL, access to a computer terminal,…
ERIC Educational Resources Information Center
Owsley, Fran, Ed.
This course is part of an engineering certification program for men inspecting construction projects. It presumes some high school training in mathematics and science. The course begins with examples showing the importance of mathematics on the job. Following that is a section on algebra, one on geometry, and one on trigonometry. (KM)
AN EVALUATION OF HIGH SCHOOL MATHEMATICS PROGRAMMED TEXTS WHEN USED WITH DEAF STUDENTS.
ERIC Educational Resources Information Center
BORNSTEIN, HARRY
A COMPARISON WAS MADE OF THE RATE AND LEVEL OF ACHIEVEMENT OF 150 DEAF STUDENTS RESULTING FROM THE USE OF PROGRAMED TEXTS AS AGAINST THE USUAL LECTURE METHODS IN HIGH SCHOOL MATHEMATICS. EACH OF FOUR MATHEMATICS TEACHERS HAD TWO COMPARABLE CLASSES. THE CONTROL GROUP RECEIVED INFORMATION BY SIMULTANEOUS LECTURE AND THE EXPERIMENTAL GROUPS USED THE…
Elementary Mathematics Education: Developing a Competency-Based/Field-Centered Program.
ERIC Educational Resources Information Center
Tarzaban, Abdulla
The purpose of this project was the development of a competency-based, field-centered elementary mathematics education program. Major goals, objectives, and competencies were identified and validated. Six global goals related to elementary mathematics teaching were developed: (1) philosophy of learning and psychology of teaching, (2) preparation…
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,…
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
Champion, Joseph Keith
2010-01-01
Social cognitive research has linked students' perceived academic capabilities, or self-efficacy, to academic choices, self-regulation, and performance in diverse contexts from reading comprehension to mathematical problem solving. This study addressed a need to investigate the interactions among prior achievement, self-efficacy, calibration (the…
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.
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
2016-03-01
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.
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 the Notion of Impact of K-12 Standards-based Mathematics and Reform Calculus Programs
ERIC Educational Resources Information Center
Smith, John P., III; Star, Jon R.
2007-01-01
Research on the impact of Standards-based, K-12 mathematics programs (i.e., written curricula and associated teaching practices) and of reform calculus programs has focused primarily on student achievement and secondarily, and rather ineffectively, on student attitudes. This research has shown that reform programs have competed well with…
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…
ERIC Educational Resources Information Center
BASSETT, ROBERT D.; COOLEY, WILLIAM W.
THIS STUDY WAS TO EVALUATE A SUMMER PROGRAM IN SCIENCE AND MATHEMATICS FOR 60 PROMISING SCIENCE STUDENTS, AND TO DETERMINE THE EFFECTS OF SUCH A PROGRAM ON THE BEHAVIOR OF STUDENTS IN CLASSES DURING THE ENSUING YEAR AND ON THEIR FUTURE CAREER DECISIONS. THE FIRST 2 OF THE 10 WEEKS OF THIS PROGRAM THE STUDENTS WERE GIVEN ADVANCED INSTRUCTION BY…
Teaching Mathematical Concepts to Rural Preschool Children Through a Home-Oriented Program.
ERIC Educational Resources Information Center
Alford, Roy W., Jr.
Preschool children (ages 3, 4, and 5) participating in the Appalachia Preschool Educational Program were studied to determine if mathematical concepts could be effectively taught through a preschool program accessible to rural children. The 34-week program consisted of 3 elements: (1) a daily half-hour television broadcast, (2) weekly home…
Multimedia Cai Program for Students with Mathematics Difficulties
ERIC Educational Resources Information Center
Seo, You-Jin; Bryant, Diane
2012-01-01
This study investigated the effectiveness of "Math Explorer" at enhancing the word problem-solving skills of students with mathematics difficulties (MD). The study, which had a multiple-probe-across-subjects design, was conducted over 18 weeks. Four students with MD in Grades 2 and 3 participated. All students were able to use the four-step…
Increasing Minorities' Mathematics Preparedness: The College Readiness Program.
ERIC Educational Resources Information Center
Duren, Phillip E.; Kelly, Margaret
Black and Hispanic students have historically been underrepresented at state universities in relationship to the percentage of the population of these minorities in the state at large. With the increase of requirements from two to three years of high school mathematics, there is real concern that this underrepresentation will continue to worsen.…
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…
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…
2011-01-01
Background A warm and humid climate triggers several water-associated diseases such as malaria. Climate- or weather-driven malaria models, therefore, allow for a better understanding of malaria transmission dynamics. The Liverpool Malaria Model (LMM) is a mathematical-biological model of malaria parasite dynamics using daily temperature and precipitation data. In this study, the parameter settings of the LMM are refined and a new mathematical formulation of key processes related to the growth and size of the vector population are developed. Methods One of the most comprehensive studies to date in terms of gathering entomological and parasitological information from the literature was undertaken for the development of a new version of an existing malaria model. The knowledge was needed to allow the justification of new settings of various model parameters and motivated changes of the mathematical formulation of the LMM. Results The first part of the present study developed an improved set of parameter settings and mathematical formulation of the LMM. Important modules of the original LMM version were enhanced in order to achieve a higher biological and physical accuracy. The oviposition as well as the survival of immature mosquitoes were adjusted to field conditions via the application of a fuzzy distribution model. Key model parameters, including the mature age of mosquitoes, the survival probability of adult mosquitoes, the human blood index, the mosquito-to-human (human-to-mosquito) transmission efficiency, the human infectious age, the recovery rate, as well as the gametocyte prevalence, were reassessed by means of entomological and parasitological observations. This paper also revealed that various malaria variables lack information from field studies to be set properly in a malaria modelling approach. Conclusions Due to the multitude of model parameters and the uncertainty involved in the setting of parameters, an extensive literature survey was carried out
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.
Adeleke, Oluwatoyin A; Choonara, Yahya E; Kumar, Pradeep; du Toit, Lisa C; Tomar, Lomas K; Tyagi, Charu; Pillay, Viness
2013-12-01
Drug release from hydrophilic matrices is regulated mainly by polymeric erosion, disentanglement, dissolution, swelling front movement, drug dissolution and diffusion through the polymeric matrix. These processes depend upon the interaction between the dissolution media, polymeric matrix and drug molecules, which can be significantly influenced by formulation variables and excipients. This study utilized mathematical parameters to evaluate the impacts of selected formulation variables and various excipients on the release performance of hydrophilic polyamide 6,10 (PA 6,10) monolithic matrix. Amitriptyline HCl and theophylline were employed as the high and low solubility model drugs, respectively. The incorporation of different excipient concentrations and changes in formulation components influenced the drug release dynamics as evidenced by computed mathematical quantities (t x%, MDT x%, f 1, f 2, k 1, k 2, and К F). The effects of excipients on drug release from the PA 6,10 monolithic matrix was further elucidated using static lattice atomistic simulations wherein the component energy refinements corroborates the in vitro and in silico experimental data. Consequently, the feasibility of modulating release kinetics of drug molecules from the novel PA 6,10 monolithic matrix was well suggested. PMID:23990121
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
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…
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.
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…
Effectiveness of a hospital school mathematics literacy program.
Covic, Amalia Neide; Kanemoto, Eduardo; Bastos, Andre Covic
2012-01-01
To receive treatment for cancer, patients in Brazil often travel to larger hospitals that may be located far away from their families and communities. Pediatric patients miss time in the classroom and may achieve educational milestones later than other students. They may also struggle with some educational topics after receiving certain types of cancer treatment. The Hospital School at the GRAACC helps to close this education gap by providing educational support to school-age students receiving treatment for cancer. In addition to providing educational services during treatment, teachers at the hospital school, Mobile School - Specific Student (EMAE). The objective of this preliminary study is to build knowledge about the impact of school enrollment on mathematics literacy in hospitalized cancer patients undergoing treatment. We followed 15-year-old patients (n = 54) with at last 1 year inside the hospital school for a period of 8 years (2001-2008). Study participants were affected by a variety of diseases including bone tumors (n = 39), Hodgkin lymphoma (n = 08) and non-Hodgkin lymphoma (n = 07). The level of participants' mathematical literacy was regularly assessed by reviewing the results of formative assessments completed by students. Using that information, students were grouped into categories according to mathematics literacy levels established by the Programme for International Student Assessment (PISA). The formative assessment is based on the analysis of all the material produced by the student and the EMAE teacher across the years of the study, including the recordings of working meetings that were held with all the teachers every class day. PMID:22910519
ERIC Educational Resources Information Center
Doabler, Christian T.; Fien, Hank; Nelson-Walker, Nancy J.; Baker, Scott K.
2012-01-01
The present review builds on earlier research that evaluated the curricular features of core math programs to improve the performances of students with or at risk for mathematics difficulties. In this review, three elementary math programs, at Grades 2 and 4, were evaluated for the presence of eight instructional principles. Math intervention…
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…
Mathematics for the Eighties: A Study of Two Effective Math Programs.
ERIC Educational Resources Information Center
O'Connor, Patrick J.
1985-01-01
This bulletin describes two exemplary mathematics programs in Oregon: the Math Lab at Mountain View Junior High School in Beaverton and the Academy Math Program at Jefferson High School in northeastern Portland. The Math Lab at Mountain View is a weekly supplemental unit that is integrated into general math and pre-algebra courses for seventh and…
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…
Mathematics Manipulatives in a Pre-Vocational Program: Teacher Inservice and Classroom Research.
ERIC Educational Resources Information Center
Balka, Don S.
Four high school special education teachers in the Vocational Education Program in the South Bend Community School Corporation participated in a mathematics program. They then conducted classroom research related to their inservice activities with their mildly handicapped students. Teachers used manipulative materials in their inservice sessions…
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…
A Guide to Establishing a Science/Mathematics Research Program in High School. Experimental.
ERIC Educational Resources Information Center
Goodman, Harvey; And Others
This guide has been designed to help teachers, supervisors, and administrators set up a science or mathematics research program which should provide students with a set of basic "tools" for use in problem solving situations. The guide is organized into 17 chapters. The first 15 chapters focus on: organizing a research program; recruiting students;…
CAD of control systems: Application of nonlinear programming to a linear quadratic formulation
NASA Technical Reports Server (NTRS)
Fleming, P.
1983-01-01
The familiar suboptimal regulator design approach is recast as a constrained optimization problem and incorporated in a Computer Aided Design (CAD) package where both design objective and constraints are quadratic cost functions. This formulation permits the separate consideration of, for example, model following errors, sensitivity measures and control energy as objectives to be minimized or limits to be observed. Efficient techniques for computing the interrelated cost functions and their gradients are utilized in conjunction with a nonlinear programming algorithm. The effectiveness of the approach and the degree of insight into the problem which it affords is illustrated in a helicopter regulation design example.
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…
Report of Evaluation, Title I Mathematics Program, 1981-82.
ERIC Educational Resources Information Center
Tompkins, John F.
In the 1981-82 school year, the Des Moines Title I math program served 1261 students in grades 1-8. The students mastered over 80 percent of the program objectives and achieved an increase in percentile rank from fall to spring. According to the results of attitude measurements, junior high school students' attitudes toward learning became more…
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…
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
Secada, Walter G.; And Others
This program information guide describes two approaches, Cognitively Guided Instruction (CGI) and Active Mathematics Teaching (AMT), for teaching academic skills in mathematics to limited English proficient (LEP) students. CGI is based on four related teacher competencies: knowing how specific mathematical content is organized in children's minds;…
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.
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.
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.
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…
ISS-Based Mathematics Program, Teachers Manual, Level 09, Curriculum.
ERIC Educational Resources Information Center
Community School District 18, Brooklyn, NY.
This publication is the teachers' manual, level 9, of the Instructional Support Systems (ISS) Program, which was developed by the Community School District 18 of New York. The curriculum was designed to fulfill the requirements established by the New York State Board of Regents for the Algebra I course. Two sequences of modules are suggested, for…
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…
ERIC Educational Resources Information Center
Office of Educational Research and Improvement (ED), Washington, DC.
This volume of 66 promising practices in mathematics and science education developed by the 10 regional educational laboratories funded by the U.S. Department of Education's Office of Educational Research and Improvement. The laboratories' collection of programs emerged from a broad-based search, nomination, and review process reaching educators…
Weiland, Christina; Yoshikawa, Hirokazu
2013-01-01
Publicly funded prekindergarten programs have achieved small-to-large impacts on children's cognitive outcomes. The current study examined the impact of a prekindergarten program that implemented a coaching system and consistent literacy, language, and mathematics curricula on these and other nontargeted, essential components of school readiness, such as executive functioning. Participants included 2,018 four and five-year-old children. Findings indicated that the program had moderate-to-large impacts on children's language, literacy, numeracy and mathematics skills, and small impacts on children's executive functioning and a measure of emotion recognition. Some impacts were considerably larger for some subgroups. For urban public school districts, results inform important programmatic decisions. For policy makers, results confirm that prekindergarten programs can improve educationally vital outcomes for children in meaningful, important ways. PMID:23534487
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…
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…
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…
ERIC Educational Resources Information Center
Erickson, Dianne K.; Niess, Margaret L.; Gfeller, Mary K.
This paper describes the use of portfolios to assess the preservice teacher's knowledge growth in teaching mathematics during a one year graduate-level teacher preparation program at Oregon State University. Portfolios provided evidence of what the preservice teacher used to show development of competency in knowledge and skill of teaching.…
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…
The Effect of the Early Intervention Program (EIP) on 4th Grade Mathematic Achievement
ERIC Educational Resources Information Center
Reeves, Tiffany H.
2014-01-01
Some schools have adopted homogenous grouping of students for academic instruction in response to the No Child Left Behind Act, which requires school districts to ensure academic achievement for all students. The early intervention program (EIP) in mathematics is provided for below-grade level students, yet many of them continue to perform poorly…
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
Gerber, Lindsey N.
2012-01-01
Teacher quality is instrumental in improving student performance. Unfortunately, discrepancies between teacher preparation programs and national and state K-12 student standards have contributed to the difficult task of producing quality teachers. The contemporary mathematics education paradigm used at most colleges and universities relies on…
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
Spinner, Howard; Fraser, Barry J.
2005-01-01
Dull classroom environments, poor students' attitudes and inhibited conceptual development led to the creation of an innovative mathematics program, the Class Banking System (CBS), which enables teachers to use constructivist ideas and approaches. To assess the effectiveness of the CBS, the Individualised Classroom Environment Questionnaire…
ERIC Educational Resources Information Center
Spinner, Howard; Fraser, Barry J.
Dull classroom environments, poor students' attitudes and inhibited conceptual development led to the creation of an innovative mathematics program, the Class Banking System (CBS), which enables teachers to use constructivist ideas and approaches. To assess the effectiveness of the CBS, actual and preferred versions of the Individualized Classroom…
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…
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
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…
NASA Technical Reports Server (NTRS)
Lennington, R. K.; Rassbach, M. E.
1979-01-01
Discussed in this report is the clustering algorithm CLASSY, including detailed descriptions of its general structure and mathematical background and of the various major subroutines. The report provides a development of the logic and equations used with specific reference to program variables. Some comments on timing and proposed optimization techniques are included.
ERIC Educational Resources Information Center
Bloomberg, Jerome
Basic Mathematics Review (BMR) is a remedial non-credit course at Essex Community College (Maryland) being taught on an individualized basis. Following diagnostic testing and placement, instruction utilizes programmed materials, tutors, and self-tests. Evaluation of the new individualized BMR and comparison with the traditional remedial course…
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…
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…
ERIC Educational Resources Information Center
Evans, Brian R.
2011-01-01
Providing students in urban settings with quality teachers is important for student achievement. This study examined the differences in content knowledge, attitudes toward mathematics, and teacher efficacy among several different types of alternatively certified teachers in a sample from the New York City Teaching Fellows program in order to…
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
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…
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…
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.…
Students' Perceptions of Their Experiences from within Acceleration Programs in Mathematics
ERIC Educational Resources Information Center
Rawlins, Peter
2004-01-01
This article reports on the findings of a research project examining participant students' points of view on accelerated programs in mathematics from four state secondary schools in New Zealand. The four participant schools in this research offered a variety of different acceleration designs and philosophies and were different in size location,…
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
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
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
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
McLeod, Douglas B.
The purpose was to determine the effectiveness of an inservice program designed to help elementary school teachers implement an activity approach to learning mathematics in their classroom using Developing Mathematical Processes (DMP). Thirty-eight kindergarten and first grade teachers participated. The success of the inservice program was judged…
ERIC Educational Resources Information Center
Ward, William M.
2009-01-01
This nonexperimental, quantitative, cross-sectional, explanatory study (Johnson 2001, p. 10) investigated the differences between a reform-based elementary school mathematics program, traditional elementary school mathematics programs, and General Education student achievement in high-socioeconomic districts on the New Jersey Assessment of Skills…
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
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
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.
NASA Technical Reports Server (NTRS)
Brentner, K. S.
1986-01-01
A computer program has been developed at the Langley Research Center to predict the discrete frequency noise of conventional and advanced helicopter rotors. The program, called WOPWOP, uses the most advanced subsonic formulation of Farassat that is less sensitive to errors and is valid for nearly all helicopter rotor geometries and flight conditions. A brief derivation of the acoustic formulation is presented along with a discussion of the numerical implementation of the formulation. The computer program uses realistic helicopter blade motion and aerodynamic loadings, input by the user, for noise calculation in the time domain. A detailed definition of all the input variables, default values, and output data is included. A comparison with experimental data shows good agreement between prediction and experiment; however, accurate aerodynamic loading is needed.
ERIC Educational Resources Information Center
RYAN, JAMES J.
THIS INTERIM REPORT COVERS ONE PHASE OF A BROADER PROGRAM AIMED AT STUDYING THE EFFECTS OF THREE EXPERIMENTAL MATHEMATICS PROGRAMS IN NINTH-GRADE ALGEBRA--BALL STATE, THE UNIVERSITY OF ILLINOIS COMMITTEE ON SCHOOL MATHEMATICS (UICSM), AND SCHOOL MATHEMATICS STUDY GROUP (SMSG)--ON THE ATTITUDES AND INTERESTS PUPILS DEVELOP TOWARD MATHEMATICS. THE…
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.
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.
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.
Mathematical models for the control program of the SLAC linear collider
Lee, M.J.; Blocker, C.; Chao, A.W.
1981-02-01
The operation of the SLAC two-mile linear accelerator in the single pass collider mode will be computer controlled. Mathematical models will be used in the control program to set up and restore the beam optics and to correct orbits. Some of the requirements imposed upon the on-line model calculations and the ways to satisfy these requirements will be described in this paper.
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?
1996-06-01
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.
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).
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...
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
Scanlon, Regina M.
2013-01-01
The purpose of this Executive Position Paper project was to develop resources for improving Individual Educational Program (IEP) mathematics learning goals for conceptual understanding of fractions for middle school special education students. The investigation surveyed how IEP mathematics learning goals are currently determined and proposed a new…
ERIC Educational Resources Information Center
Delaware State Dept. of Education, Dover. Assessment and Accountability Branch.
The results in this report, from the fifth administration of the grades 3, 5, 8, and 10 reading, mathematics, and writing portions of the Delaware Student Testing Program (DSTP), represent an important step in Delawares efforts to educate all students to a higher level. Reading, mathematics, and writing data for grades 3, 5, 8, and 10 are…
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
Aly, Hassan Shawky; Abdulhakeem, Hassan Daker
2016-01-01
This study aimed at assessing the training programs for Mathematics teachers at elementary stage on developed Curricula and attitudes toward teaching at Najran educational administration in Saudi Arabia. To achieve this objective, two instruments were developed, one of them measures the opinions of Mathematics teachers about the training programs…
ERIC Educational Resources Information Center
Ham, Edward
2011-01-01
This dissertation focuses on beginning mathematics teachers from alternative certification programs and their perceptions of what is required to be successful. A mixed-methods research study was completed with several goals in mind: (1) identifying how beginning mathematics teachers define success in the classroom during their earliest years, (2)…
ERIC Educational Resources Information Center
Oginni, Omoniyi Israel; Owolabi, Olabode Thomas
2012-01-01
This study examined Programmed Instruction (PI) a panacea to students' dwindling interest in mathematics. Descriptive research of survey design was adopted for the study. A questionnaire was designed to collect data from a sample of seven hundred and fifty (750) respondents which include 700 Students and 50 Teachers from Public and Private…
ERIC Educational Resources Information Center
Makuwira, Jonathan
2008-01-01
This research examined different ways in which tutors of mathematics approach their tutoring among Indigenous students enrolled in the Tertiary Entry Program (TEP) at Central Queensland University's Indigenous Learning, Spirituality and Research Centre. The study sought to establish whether or not there were any differences between Indigenous and…
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…
An Application of Programming and Mathematics: Writing a Computer Graphing Program.
ERIC Educational Resources Information Center
Waits, Bert; Demana, Franklin
1988-01-01
Suggests computer graphing as a topic for computer programing. Reviews Apple II computer graphics information and gives suggestions for writing the programs. Presents equations to help place information onto the screen with proper coordinates. (MVL)
ERIC Educational Resources Information Center
Givvin, Karen B.; Santagata, Rossella
2011-01-01
The focus of this paper is on detailing the decisions made when we created, implemented and studied a mathematics professional development (PD) program in low-performing, urban schools. Our program held many characteristics espoused by researchers as critical for effectiveness. We begin by reviewing the characteristics of quality PD programs that…
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.
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.
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
Carwell, Tamika L.
2012-01-01
The study's focus was to determine whether or not there was a significant statistical relationship between improved student performance scores from the Education Program for Gifted Youth (EPGY) Stanford Math Intervention Program and Discovery Formative Assessment mathematics mean scores of female middle school students. An additional focus of…
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…
ERIC Educational Resources Information Center
Bahr, Damon; Monroe, Eula Ewing; Balzotti, Mark; Eggett, Dennis
2009-01-01
A 2-year school-based mathematics professional development program is described and evaluated after its first year of implementation. Included in this program as its first course was a unique methods course in elementary education involving both preservice students and inservice teachers who cooperatively studied and applied reform pedagogy. The…
ERIC Educational Resources Information Center
Kim, Jason J.; Lee, Hunhee K.; Crasco, Linda
This paper describes the "Urban School Key Indicators of Science and Mathematics Education," a four-volume publication designed to visualize the educational reform progress of 21 urban school districts in the National Science Foundation's Urban Systemic Initiative (USI) program launched in 1994. The USI program is intended to be a catalyst for…
ERIC Educational Resources Information Center
McConney, Andrew; Maor, Dorit
2009-01-01
This summative evaluation examines a pilot program supporting beginning science and mathematics teachers through mentoring. It includes mentors' and mentees' expectations of the outcomes of participation in the program and their perceptions of the success of their mentoring relationships across the latter part of the 2008 school year. As well,…
ERIC Educational Resources Information Center
National Science Foundation, 2006
2006-01-01
This booklet presents an overview of the Math Science Partnership program (MSP) at the National Science Foundation (NSF). This program responds to a growing national concern--the educational performance of U.S. children in mathematics and science. Through the MSP, NSF awards competitive, merit-based grants to teams composed of institutions of…
NASA Astrophysics Data System (ADS)
Lachhwani, Kailash; Poonia, Mahaveer Prasad
2012-08-01
In this paper, we show a procedure for solving multilevel fractional programming problems in a large hierarchical decentralized organization using fuzzy goal programming approach. In the proposed method, the tolerance membership functions for the fuzzily described numerator and denominator part of the objective functions of all levels as well as the control vectors of the higher level decision makers are respectively defined by determining individual optimal solutions of each of the level decision makers. A possible relaxation of the higher level decision is considered for avoiding decision deadlock due to the conflicting nature of objective functions. Then, fuzzy goal programming approach is used for achieving the highest degree of each of the membership goal by minimizing negative deviational variables. We also provide sensitivity analysis with variation of tolerance values on decision vectors to show how the solution is sensitive to the change of tolerance values with the help of a numerical example.
ERIC Educational Resources Information Center
Breymann, Ferol
This handbook gives directions and suggestions for planning and delivering a Math Careers Program for urban women with high school diplomas or General Equivalency Diplomas (GEDs) in a continuing education setting and suggests other settings. The Math Careers Program is designed with a basic assumption that as women's mathematical achievement…
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. PMID:26027708
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…
ERIC Educational Resources Information Center
Lee, Mimi Miyoung; Chauvot, Jennifer; Plankis, Brian; Vowell, Julie; Culpepper, Shea
2011-01-01
iSMART (Integration of Science, Mathematics, and Reflective Teaching) Program is an online science and mathematics integrated graduate program for middle school teachers across the state of Texas. As part of a large design-based research project, this paper describes the initial stages of the design process of the iSMART program for its first…
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.