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.
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.
Mathematics, Programming, and STEM
ERIC Educational Resources Information Center
Yeh, Andy; Chandra, Vinesh
2015-01-01
Learning mathematics is a complex and dynamic process. In this paper, the authors adopt a semiotic framework (Yeh & Nason, 2004) and highlight programming as one of the main aspects of the semiosis or meaning-making for the learning of mathematics. During a 10- week teaching experiment, mathematical meaning-making was enriched when primary…
NASA 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.
A mathematical formulation of DNA computation.
Zhang, Mingjun; Cheng, Maggie X; Tarn, Tzyh-Jong
2006-03-01
DNA computation is to use DNA molecules for information storing and processing. The task is accomplished by encoding and interpreting DNA molecules in suspended solutions before and after the complementary binding reactions. DNA computation is attractive, due to its fast parallel information processing, remarkable energy efficiency, and high storing capacity. Challenges currently faced by DNA computation are: 1) lack of theoretical computational models for applications and 2) high error rate for implementation. This paper attempts to address these problems from mathematical modeling and genetic coding aspects. The first part of this paper presents a mathematical formulation of DNA computation. The model may serve as a theoretical framework for DNA computation. In the second part, a genetic code based DNA computation approach is presented to reduce error rate for implementation, which has been a major concern for DNA computation. The method provides a promising alternative to reduce error rate for DNA computation.
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)
A mathematical formulation of the Scole control problem, part 1
NASA Technical Reports Server (NTRS)
Balakrishnan, A. V.
1985-01-01
A mathematical formulation of the SCOLE control problem in terms of a continuous model described by partial differential equations with delta functions on the boundary is presented along with three techniques of solution. The abstract wave equation approach leads immediately to a linear feedback law that can ensure (strong) stability. The boundary control approach yields an explicit solution, albeit in a simple case.
NASA Astrophysics Data System (ADS)
Jung-Woon Yoo, John
2016-06-01
Since customer preferences change rapidly, there is a need for design processes with shorter product development cycles. Modularization plays a key role in achieving mass customization, which is crucial in today's competitive global market environments. Standardized interfaces among modularized parts have facilitated computational product design. To incorporate product size and weight constraints during computational design procedures, a mixed integer programming formulation is presented in this article. Product size and weight are two of the most important design parameters, as evidenced by recent smart-phone products. This article focuses on the integration of geometric, weight and interface constraints into the proposed mathematical formulation. The formulation generates the optimal selection of components for a target product, which satisfies geometric, weight and interface constraints. The formulation is verified through a case study and experiments are performed to demonstrate the performance of the formulation.
Micosoft Excel Sensitivity Analysis for Linear and Stochastic Program Feed Formulation
Technology Transfer Automated Retrieval System (TEKTRAN)
Sensitivity analysis is a part of mathematical programming solutions and is used in making nutritional and economic decisions for a given feed formulation problem. The terms, shadow price and reduced cost, are familiar linear program (LP) terms to feed formulators. Because of the nonlinear nature of...
Mathematical Programming with and without Differentiability
1980-08-01
Journal of Mathematical Analysis and Applications , to...Linearly Con- strained Nonlinear Programming," Journal of Mathematical Analysis and Applications , to appear. 4. J. Spingarn, "On Optimality Conditions...Goode, "Necessary Optimality Criteria in Mathematical Programming in the Presence of Differentiability, Journal of Mathematical Analysis and Applications ,
1993-09-01
conformity of roller and raceway spherical crowns, while lending the bearing its self- aligning and high load capacity, also results in relative sliding...thus in the negative direction. A positive axial load, acting along the X-axis is also shown in Figure 1. Due to the self- aligning ability of a...Hadden, G.B., Kleckner, R.J., Ragen, M.A., and Sheynin, L., "Research’ Report and User’s Manual for Computer Program SHABERTH", SKF Report No. AT8YO0003
Awareness Geometry. Mathematics-Methods Program Unit.
ERIC Educational Resources Information Center
Kerr, Donald R., Jr.; 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…
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.…
MATHEMATICS K-6--A PROPOSED PROGRAM.
ERIC Educational Resources Information Center
CREWSON, WALTER; AND OTHERS
OBJECTIVES OF A PROPOSED MATHEMATICS PROGRAM FOR KINDERGARTEN THROUGH SIXTH GRADE ARE THE ACQUISITION OF A THOROUGH KNOWLEDGE OF THE NUMBER SYSTEM, OF INFORMATION ABOUT AND UNDERSTANDING OF MATHEMATICAL OPERATIONS, OF AUTOMATIC RECALL OF BASIC NUMBER FACTS SO THAT THE CONCEPTS LEARNED CAN BE TRANSFERRED TO OTHER SITUATIONS, AND OF THE ABILITY TO…
Formulating the Fibonacci Sequence: Paths or Jumps in Mathematical Understanding.
ERIC Educational Resources Information Center
Kieren, Thomas; And Others
In dynamical theory, mathematical understanding is considered to be that of a person (or group) of a topic (or problem) in a situation or setting. This paper compares the interactions between the situations and the mathematical understandings of two students by comparing the growth in understanding within a Fibonacci sequence setting in which…
Mathematical Formulation of the Arsenal Exchange Model. Revision 7
1973-06-01
ASSURED DESTRUCTION VS. DAMAGE LIMITATION . - . B. SYSTEM COMPARISONS ■ . . . . . . . ., C. OTHER SCENARIOS D. ANALYSIS OF UNCERTAINTIES E. VALUE...OF INFORMATION IV. KEY MATHEMATICAL ANALVSES . . ■ A. OPTIMUM WEAPON ALLOCATION PROCEDURE ...... B. DEVELOPMENT OF VARIOUS DAMAGE FUNCTIONS...C. FORCE TARGET VALUES . „ D. COUNTERVALUE DAMAGE CONSTRAINTS . . E. OPTIMUM RESERVE FORCE CHOICE IV- IV- IV- rv- l k k 5 8 11 13
Mathematical computer programs: A compilation
NASA Technical Reports Server (NTRS)
1972-01-01
Computer programs, routines, and subroutines for aiding engineers, scientists, and mathematicians in direct problem solving are presented. Also included is a group of items that affords the same users greater flexibility in the use of software.
Computer programs: Operational and mathematical, a compilation
NASA Technical Reports Server (NTRS)
1973-01-01
Several computer programs which are available through the NASA Technology Utilization Program are outlined. Presented are: (1) Computer operational programs which can be applied to resolve procedural problems swiftly and accurately. (2) Mathematical applications for the resolution of problems encountered in numerous industries. Although the functions which these programs perform are not new and similar programs are available in many large computer center libraries, this collection may be of use to centers with limited systems libraries and for instructional purposes for new computer operators.
Programming Languages, Natural Languages, and Mathematics
ERIC Educational Resources Information Center
Naur, Peter
1975-01-01
Analogies are drawn between the social aspects of programming and similar aspects of mathematics and natural languages. By analogy with the history of auxiliary languages it is suggested that Fortran and Cobol will remain dominant. (Available from the Association of Computing Machinery, 1133 Avenue of the Americas, New York, NY 10036.) (Author/TL)
An Educational Program of Mathematical Creativity
ERIC Educational Resources Information Center
Petrovici, Constantin; Havârneanu, Geanina
2015-01-01
In this article we intend to analyze the effectiveness of an educational program of mathematical creativity, designed for learners aged 10 to 12 years, which has been implemented in an urban school of Iasi, Romania. This analysis has both a psycho-educational dimension and a statistical analysis one. The psycho-educational dimension refers to the…
A general formulation for a mathematical PEM fuel cell model
NASA Astrophysics Data System (ADS)
Baschuk, J. J.; Li, Xianguo
A general formulation for a comprehensive fuel cell model, based on the conservation principle is presented. The model formulation includes the electro-chemical reactions, proton migration, and the mass transport of the gaseous reactants and liquid water. Additionally, the model formulation can be applied to all regions of the PEM fuel cell: the bipolar plates, gas flow channels, electrode backing, catalyst, and polymer electrolyte layers. The model considers the PEM fuel cell to be composed of three phases: reactant gas, liquid water, and solid. These three phases can co-exist within the gas flow channels, electrode backing, catalyst, and polymer electrolyte layers. The conservation of mass, momentum, species, and energy are applied to each phase, with the technique of volume averaging being used to incorporate the interactions between the phases as interfacial source terms. In order to avoid problems arising from phase discontinuities, the gas and liquid phases are considered as a mixture. The momentum interactions between the fluid and solid phases are modeled by the Darcy-Forchheimer term. The electro-oxidation of H and CO, the reduction of O, and the heterogeneous oxidation of H and CO are considered in the catalyst layers. Due to the small pore size of the polymer electrolyte layer, the generalized Stefan-Maxwell equations, with the polymer considered as a diffusing species, are used to describe species transport. One consequence of considering the gas and liquid phases as a mixture is that expressions for the velocity of the individual phases relative to the mixture must be developed. In the gas flow channels, the flow is assumed homogeneous, while the Darcy and Schlögl equations are used to describe liquid water transport in the electrode backing and polymer electrolyte layers. Thus, two sets of equations, one for the mixture and another for the solid phase, can be developed to describe the processes occurring within a PEM fuel cell. These equations are in
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.
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.
Model-based optimal design of experiments - semidefinite and nonlinear programming formulations.
Duarte, Belmiro P M; Wong, Weng Kee; Oliveira, Nuno M C
2016-02-15
We use mathematical programming tools, such as Semidefinite Programming (SDP) and Nonlinear Programming (NLP)-based formulations to find optimal designs for models used in chemistry and chemical engineering. In particular, we employ local design-based setups in linear models and a Bayesian setup in nonlinear models to find optimal designs. In the latter case, Gaussian Quadrature Formulas (GQFs) are used to evaluate the optimality criterion averaged over the prior distribution for the model parameters. Mathematical programming techniques are then applied to solve the optimization problems. Because such methods require the design space be discretized, we also evaluate the impact of the discretization scheme on the generated design. We demonstrate the techniques for finding D-, A- and E-optimal designs using design problems in biochemical engineering and show the method can also be directly applied to tackle additional issues, such as heteroscedasticity in the model. Our results show that the NLP formulation produces highly efficient D-optimal designs but is computationally less efficient than that required for the SDP formulation. The efficiencies of the generated designs from the two methods are generally very close and so we recommend the SDP formulation in practice.
Model-based optimal design of experiments - semidefinite and nonlinear programming formulations
Duarte, Belmiro P.M.; Wong, Weng Kee; Oliveira, Nuno M.C.
2015-01-01
We use mathematical programming tools, such as Semidefinite Programming (SDP) and Nonlinear Programming (NLP)-based formulations to find optimal designs for models used in chemistry and chemical engineering. In particular, we employ local design-based setups in linear models and a Bayesian setup in nonlinear models to find optimal designs. In the latter case, Gaussian Quadrature Formulas (GQFs) are used to evaluate the optimality criterion averaged over the prior distribution for the model parameters. Mathematical programming techniques are then applied to solve the optimization problems. Because such methods require the design space be discretized, we also evaluate the impact of the discretization scheme on the generated design. We demonstrate the techniques for finding D–, A– and E–optimal designs using design problems in biochemical engineering and show the method can also be directly applied to tackle additional issues, such as heteroscedasticity in the model. Our results show that the NLP formulation produces highly efficient D–optimal designs but is computationally less efficient than that required for the SDP formulation. The efficiencies of the generated designs from the two methods are generally very close and so we recommend the SDP formulation in practice. PMID:26949279
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.
ERIC Educational Resources Information Center
SCANDURA, JOSEPH M.
THE OBJECTIVE OF THIS RESEARCH WAS TO EXTEND, ELABORATE, AND IMPROVE THE SET-FUNCTION LANGUAGE (SFL). THE SFL IS A NEW SCIENTIFIC LANGUAGE FOR FORMULATING RESEARCH QUESTIONS ON MEANINGFUL LEARNING, FRAMED IN TERMS OF THE MATHEMATICAL NOTIONS OF SETS AND FUNCTIONS. IN THE FIRST PAPER, THE SFL IS DESCRIBED. ITS RELATION TO THE STIMULUS RESPONSE…
Archimedes: a new model for simulating health care systems--the mathematical formulation.
Schlessinger, Leonard; Eddy, David M
2002-02-01
This paper designs an object-oriented, continuous-time, full simulation model for addressing a wide range of clinical, procedural, administrative, and financial decisions in health care at a high level of biological, clinical, and administrative detail. The full model has two main parts, which with some simplification can be designated "physiology models" and "models of care processes." The models of care processes, although highly detailed, are mathematically straightforward. However, the mathematics that describes human biology, diseases, and the effects of interventions are more difficult. This paper describes the mathematical formulation and methods for deriving equations, for a variety of different sources of data. Although Archimedes was originally designed for health care applications, the formulation, and equations are general and can be applied to many natural systems.
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.
Addition and Subtraction. Mathematics-Methods Program Unit.
ERIC Educational Resources Information Center
LeBlanc, John F.; 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…
NASA Technical Reports Server (NTRS)
Scott, M.
1985-01-01
An approximate mathematical formulation for scheduling of future space missions is proposed. The objective is to schedule the flights to efficiently use the available ground resources, to minimize the inventory level of ground resources needed and to minimize the overlapping or conflicting periods during which the same types of resources are used by the various flights. The development of the mathematical formulation of the problem considers the presence of a large number of sequencing and resource constraints: (1) the order in which the flights are to be launched is predetermined; and (2) some types of resources are to be used only by certain flights. A linear objective function based on cost considerations is constructed and this function is minimized subject to the various constraints.
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.
Savic, Ivana M; Nikolic, Katarina; Nikolic, Goran; Savic, Ivan; Agbaba, Danica; Cakic, Milorad
2013-07-01
New formulation for treatment a copper deficiency in human organism was developed and optimized by application of mathematical modeling. This formulation contained copper (II) complex with polysaccharide pullulan, as active substance. The binder concentration [polyvinyl pyrrolidone (PVP %)], the disintegrant concentration (corn starch %) and the resistance to crushing (hardness) were taken as independent variables. In vitro measured drug release characteristics of the tablets at pH 1.20 and 7.56 were studied as response variables. Initially, the created full factorial 2(3) model showed that the resistance to crushing has the most significant effect on copper (II) complex release from the formulation. Optimal tablet formulation F2, with lower Hardness (50 N), lower Starch (20.0%) and higher PVP (2.7%) concentrations, is selected using the partial least squares (PLS) regression modeling. The selected formulation F2 has expressed the best drug release profile at both pH (98.66% pH = 1.20; 93.35% pH = 7.56), and the lowest variation of tablets weight. The presented theoretical approach and created PLS model can be readily applied in future copper complexes studies and formulation design.
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.
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…
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…
ERIC Educational Resources Information Center
Dede, Yüksel; Karakus, Fatih
2014-01-01
The aim of this study was to determine the effects of teacher training programs on pre-service mathematics teachers' beliefs about mathematics. The sample of the study consisted of 173 pre-service mathematics teachers from an education faculty in the Central Anatolia Region of Turkey. The data were obtained from an open-ended questionnaire,…
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…
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
NASA Technical Reports Server (NTRS)
Fleming, P.
1983-01-01
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 nonlinear 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. One concerns helicopter longitudinal dynamics and the other the flight dynamics of an aerodynamically unstable aircraft.
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.
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.
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.
Recommendations for an Undergraduate Program in Computational Mathematics.
ERIC Educational Resources Information Center
Committee on the Undergraduate Program in Mathematics, Berkeley, CA.
This report describes an undergraduate program designed to produce mathematicians who will know how to use and to apply computers. There is a core of 12 one-semester courses: five in mathematics, four in computational mathematics and three in computer science, leaving the senior year for electives. The content and spirit of these courses are…
A Developmental Program to Non-Grade Mathematics K-12.
ERIC Educational Resources Information Center
Ferrell, Phyllis C.
This report summarizes the first two years of study at the Elk Grove Training and Development Center. The initial program was designed to improve mathematics instruction through the use of a non-graded multi-media approach utilizing laboratory team teaching. Achievement test summaries indicate that K-5 students instructed in mathematics through…
Rubin, Jacob
1983-01-01
Examples involving six broad reaction classes show that the nature of transport-affecting chemistry may have a profound effect on the mathematical character of solute transport problem formulation. Substantive mathematical diversity among such formulations is brought about principally by reaction properties that determine whether (1) the reaction can be regarded as being controlled by local chemical equilibria or whether it must be considered as being controlled by kinetics, (2) the reaction is homogeneous or heterogeneous, (3) the reaction is a surface reaction (adsorption, ion exchange) or one of the reactions of classical chemistry (e.g., precipitation, dissolution, oxidation, reduction, complex formation). These properties, as well as the choice of means to describe them, stipulate, for instance, (1) the type of chemical entities for which a formulation's basic, mass-balance equations should be written; (2) the nature of mathematical transformations needed to change the problem's basic equations into operational ones. These and other influences determine such mathematical features of problem formulations as the nature of the operational transport-equation system (e.g., whether it involves algebraic, partial-differential, or integro-partial-differential simultaneous equations), the type of nonlinearities of such a system, and the character of the boundaries (e.g., whether they are stationary or moving). Exploration of the reasons for the dependence of transport mathematics on transport chemistry suggests that many results of this dependence stem from the basic properties of the reactions' chemical-relation (i.e., equilibrium or rate) equations.
A Mathematical Sciences Program at an Upper-Division Campus.
ERIC Educational Resources Information Center
Swetz, Frank J.
1978-01-01
The conception, objectives, contents, and limitations of a degree program in the mathematical sciences at Pennsylvania State University, Capitol Campus, are discussed. Career goals that may be pursued include: managerial, science, education, actuarial, and computer. (MP)
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)
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
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…
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…
RECOMMENDATIONS ON THE UNDERGRADUATE MATHEMATICS PROGRAM FOR ENGINEERS AND PHYSICISTS.
ERIC Educational Resources Information Center
DURST, LINCOLN K.
THIS REPORT PRESENTS A PROGRAM FOR THE UNDERGRADUATE MATHEMATICAL PREPARATION OF ENGINEERS AND PHYSICISTS. THE FOLLOWING STATEMENTS SERVE AS UNDERLYING ASSUMPTIONS FOR ANYONE EXPECTING TO MAKE USE OF THE RECOMMENDATIONS--(1) THE PROGRAM IS ONE FOR THE PRESENT AND THE PROPOSALS ARE SUCH THAT THEY CAN BE CONTINUALLY MODIFIED TO KEEP UP WITH FUTURE…
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…
Programming for Mathematically Gifted Children with Learning Difficulties
ERIC Educational Resources Information Center
Al-Hroub, Anies
2010-01-01
Findings are presented from a large two-phase research study exploring (a) the identification and (b) programming for mathematically gifted students with learning difficulties (MG/LDs) in Jordan. The second phase of the research, which is the focus of the current article, investigates the effects of two programs of instructional practices on the…
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.
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.
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.
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.
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).
NASA Astrophysics Data System (ADS)
Namba, Masanobu; Nishino, Ryohei
The purpose of this paper is to study the effect of neighboring blade rows on the unsteady aerodynamic response of oscillating cascade blades on the basis of a genuine three-dimensional model. To this end, mathematical formulations based on the lifting surface theory are developed for a pair of contra-rotating annular cascades of oscillating blades. The mechanism of frequency scattering of blade loadings and mode scattering of acoustic waves resulting from interaction between the blade rows in relative rotational motions is mathematically explained. Simultaneous integral equations for all frequency components of blade loadings are derived from the flow tangency condition on the blade surfaces of both blade rows. The validity of the computation codes is verified.
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
Mitsos, Alexander; Melas, Ioannis N; Morris, Melody K; Saez-Rodriguez, Julio; Lauffenburger, Douglas A; Alexopoulos, Leonidas G
2012-01-01
Modeling of signal transduction pathways plays a major role in understanding cells' function and predicting cellular response. Mathematical formalisms based on a logic formalism are relatively simple but can describe how signals propagate from one protein to the next and have led to the construction of models that simulate the cells response to environmental or other perturbations. Constrained fuzzy logic was recently introduced to train models to cell specific data to result in quantitative pathway models of the specific cellular behavior. There are two major issues in this pathway optimization: i) excessive CPU time requirements and ii) loosely constrained optimization problem due to lack of data with respect to large signaling pathways. Herein, we address both issues: the former by reformulating the pathway optimization as a regular nonlinear optimization problem; and the latter by enhanced algorithms to pre/post-process the signaling network to remove parts that cannot be identified given the experimental conditions. As a case study, we tackle the construction of cell type specific pathways in normal and transformed hepatocytes using medium and large-scale functional phosphoproteomic datasets. The proposed Non Linear Programming (NLP) formulation allows for fast optimization of signaling topologies by combining the versatile nature of logic modeling with state of the art optimization algorithms.
ERIC Educational Resources Information Center
Bird, Katherine; Oppland-Cordell, Sarah; Hibdon, Joseph
2016-01-01
This paper describes the development, results, and future directions of the mathematics component of the EMERGE Summer Program at Northeastern Illinois University. Initiated summer 2014, EMERGE offered English and mathematics sessions for incoming freshmen. The mathematics session aimed to strengthen participants' mathematical foundations,…
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.
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…
ERIC Educational Resources Information Center
Wichita Unified School District 259, KS.
This book is a guide for the reinforcement of the elementary mathematics laboratory program. It uses a hands-on and activity approach with maximum involvement of the students. Reinforcement strategies for the first three phases (concrete, semiconcrete, and semiabstract) of each mathematics concept are suggested. Also included are specific job…
Mathematical Formulation used by MATLAB Code to Convert FTIR Interferograms to Calibrated Spectra
Armstrong, Derek Elswick
2016-07-19
This report discusses the mathematical procedures used to convert raw interferograms from Fourier transform infrared (FTIR) sensors to calibrated spectra. The work discussed in this report was completed as part of the Helios project at Los Alamos National Laboratory. MATLAB code was developed to convert the raw interferograms to calibrated spectra. The report summarizes the developed MATLAB scripts and functions, along with a description of the mathematical methods used by the code. The first step in working with raw interferograms is to convert them to uncalibrated spectra by applying an apodization function to the raw data and then by performing a Fourier transform. The developed MATLAB code also addresses phase error correction by applying the Mertz method. This report provides documentation for the MATLAB scripts.
An Evaluation of a Short-Term In-Service Mathematics Program for Elementary School Teachers
ERIC Educational Resources Information Center
Hunkler, Richard
1971-01-01
Arithmetic concept scores of pupils whose teachers were exposed to an inservice mathematics program were compared with those of pupils having nonparticipant teachers. The results appeared to be dependent upon the pupils' previous exposure to modern mathematics. (CP)
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.…
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.
Nakagomi, Teruaki
2003-04-01
A world model, suggested by Leibniz's monadology, is formulated as a mathematical axiomatic system. The purpose of this world model is to provide a general scheme for describing a system of individuals having consciousness or internal worlds that communicate with each other and make a unified whole world, and moreover, the latter is reflected into the respective internal worlds and appears as an external world. Examples of such monadological structure of interior-exterior (or individual-whole) reflection can be observed in bio- or socio-systems and recently in computer networks. Moreover, a most elemental version of this structure can be found in the basic level of quantum physics. The model not only gives a prototype of monadological systems but also has an evolutionary ability to produce a hierarchy of monadological systems, which are interpreted as corresponding to various levels of consciousness.
Fast estimation of space-robots inertia parameters: A modular mathematical formulation
NASA Astrophysics Data System (ADS)
Nabavi Chashmi, Seyed Yaser; Malaek, Seyed Mohammad-Bagher
2016-10-01
This work aims to propose a new technique that considerably helps enhance time and precision needed to identify "Inertia Parameters (IPs)" of a typical Autonomous Space-Robot (ASR). Operations might include, capturing an unknown Target Space-Object (TSO), "active space-debris removal" or "automated in-orbit assemblies". In these operations generating precise successive commands are essential to the success of the mission. We show how a generalized, repeatable estimation-process could play an effective role to manage the operation. With the help of the well-known Force-Based approach, a new "modular formulation" has been developed to simultaneously identify IPs of an ASR while it captures a TSO. The idea is to reorganize the equations with associated IPs with a "Modular Set" of matrices instead of a single matrix representing the overall system dynamics. The devised Modular Matrix Set will then facilitate the estimation process. It provides a conjugate linear model in mass and inertia terms. The new formulation is, therefore, well-suited for "simultaneous estimation processes" using recursive algorithms like RLS. Further enhancements would be needed for cases the effect of center of mass location becomes important. Extensive case studies reveal that estimation time is drastically reduced which in-turn paves the way to acquire better results.
ERIC Educational Resources Information Center
Buchholtz, Nils; Kaiser, Gabriele
2013-01-01
Innovative programs for restructuring the entry phase of mathematics teacher education programs have been implemented at various German universities within the last few years. This article reports about the design and the results of a longitudinal evaluation study of the effectiveness of two of these programs aiming to improve mathematics teacher…
ERIC Educational Resources Information Center
Celedon-Pattichis, Sylvia
This chapter describes various programs providing secondary mathematics curricula to migrant students and discusses some challenges of integrating the cultural and linguistic experiences of migrant students learning mathematics. Among the distance-education programs designed for migrant students, the University of Texas Migrant Program delivers 22…
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…
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.
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
Inaccuracy Determination in Mathematical Model of Labsocs Efficiency Calibration Program
NASA Astrophysics Data System (ADS)
Kuznetsov, M.; Nikishkin, T.; Chursin, S.
2016-08-01
The study of radioactive materials quantitative inaccuracy determination caused by semiconductor detector aging is presented in the article. The study was conducted using a p- type coaxial GC 1518 detector made of a high-purity germanium produced by Canberra Company and LabSOCS mathematical efficiency calibration program. It was discovered that during 8 years of operation the efficiency of the detector had decreased due to increase of the dead layer of the germanium crystal. Increasing the thickness of the dead layer leads to 2 effects, which influence on the efficiency decrease: the shielding effect and the effect of reducing the active volume of the germanium crystal. It is found that the shielding effect contributes at energies below 88 keV. At energies above 88 keV the inaccuracy is connected with the decrease of the germanium crystal active volume, caused by lithium thermal diffusion.
Synchronizing production and air transportation scheduling using mathematical programming models
NASA Astrophysics Data System (ADS)
Zandieh, M.; Molla-Alizadeh-Zavardehi, S.
2009-08-01
Traditional scheduling problems assume that there are always infinitely many resources for delivering finished jobs to their destinations, and no time is needed for their transportation, so that finished products can be transported to customers without delay. So, for coordination of these two different activities in the implementation of a supply chain solution, we studied the problem of synchronizing production and air transportation scheduling using mathematical programming models. The overall problem is decomposed into two sub-problems, which consists of air transportation allocation problem and a single machine scheduling problem which they are considered together. We have taken into consideration different constraints and assumptions in our modeling such as special flights, delivery tardiness and no delivery tardiness. For these purposes, a variety of models have been proposed to minimize supply chain total cost which encompass transportation, makespan, delivery earliness tardiness and departure time earliness tardiness costs.
Mathematical programming models for determining the optimal location of beehives.
Gavina, Maica Krizna A; Rabajante, Jomar F; Cervancia, Cleofas R
2014-05-01
Farmers frequently decide where to locate the colonies of their domesticated eusocial bees, especially given the following mutually exclusive scenarios: (i) there are limited nectar and pollen sources within the vicinity of the apiary that cause competition among foragers; and (ii) there are fewer pollinators compared to the number of inflorescence that may lead to suboptimal pollination of crops. We hypothesize that optimally distributing the beehives in the apiary can help address the two scenarios stated above. In this paper, we develop quantitative models (specifically using linear programming) for addressing the two given scenarios. We formulate models involving the following factors: (i) fuzzy preference of the beekeeper; (ii) number of available colonies; (iii) unknown-but-bounded strength of colonies; (iv) probabilistic carrying capacity of the plant clusters; and (v) spatial orientation of the apiary.
Benson, Charles T.; Critser, John K.
2014-01-01
Optimization of cryopreservation protocols for cells and tissues requires accurate models of heat and mass transport. Model selection often depends on the configuration of the tissue. Here, a mathematical and conceptual model of water and solute transport for whole hamster pancreatic islets has been developed and experimentally validated incorporating fundamental biophysical data from previous studies on individual hamster islet cells while retaining whole-islet structural information. It describes coupled transport of water and solutes through the islet by three methods: intracellularly, intercellularly, and in combination. In particular we use domain decomposition techniques to couple a transmembrane flux model with an interstitial mass transfer model. The only significant undetermined variable is the cellular surface area which is in contact with the intercellularly transported solutes, Ais. The model was validated and Ais determined using a 3 × 3 factorial experimental design blocked for experimental day. Whole islet physical experiments were compared with model predictions at three temperatures, three perfusing solutions, and three islet size groups. A mean of 4.4 islets were compared at each of the 27 experimental conditions and found to correlate with a coefficient of determination of 0.87 ± 0.06 (mean ± S.D.). Only the treatment variable of perfusing solution was found to be significant (p < 0.05). We have devised a model that retains much of the intrinsic geometric configuration of the system, and thus fewer laboratory experiments are needed to determine model parameters and thus to develop new optimized cryopreservation protocols. Additionally, extensions to ovarian follicles and other concentric tissue structures may be made. PMID:24950195
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.
Mathematical Programming Model for Fighter Training Squadron Pilot Scheduling
2007-03-01
of Defense, or the United States Government. AFIT/GOR/ENS/07-17 MATHEMATICAL PROGAMMING MODEL FOR...March 2007 APPROVED FOR PUBLIC RELEASE; DISTRIBUTION UNLIMITED. AFIT/GOR/ENS/07-17 MATHEMATICAL PROGAMMING MODEL FOR FIGHTER...80 x MATHEMATICAL PROGAMMING MODEL FOR FIGHTER TRAINING SQUADRON PILOT
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…
ERIC Educational Resources Information Center
Lai, Shu-Ling; Repman, Judith L.
1996-01-01
Purposes of this study were to determine: (1) if analogies and elaboration and placement of the analogies help novices learning a computer-programming language; (2) if students' mathematics ability influences programming learning; and (3) the interaction effects between analogy and mathematics ability. Subjects were 156 college students. Results…
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…
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…
Underprepared Students' Performance on Algebra in a Double-Period High School Mathematics Program
ERIC Educational Resources Information Center
Martinez, Mara V.; Bragelman, John; Stoelinga, Timothy
2016-01-01
The primary goal of the Intensified Algebra I (IA) program is to enable mathematically underprepared students to successfully complete Algebra I in 9th grade and stay on track to meet increasingly rigorous high school mathematics graduation requirements. The program was designed to bring a range of both cognitive and non-cognitive supports to bear…
Mathematical Modeling of Intestinal Iron Absorption Using Genetic Programming
Colins, Andrea; Gerdtzen, Ziomara P.; Nuñez, Marco T.; Salgado, J. Cristian
2017-01-01
Iron is a trace metal, key for the development of living organisms. Its absorption process is complex and highly regulated at the transcriptional, translational and systemic levels. Recently, the internalization of the DMT1 transporter has been proposed as an additional regulatory mechanism at the intestinal level, associated to the mucosal block phenomenon. The short-term effect of iron exposure in apical uptake and initial absorption rates was studied in Caco-2 cells at different apical iron concentrations, using both an experimental approach and a mathematical modeling framework. This is the first report of short-term studies for this system. A non-linear behavior in the apical uptake dynamics was observed, which does not follow the classic saturation dynamics of traditional biochemical models. We propose a method for developing mathematical models for complex systems, based on a genetic programming algorithm. The algorithm is aimed at obtaining models with a high predictive capacity, and considers an additional parameter fitting stage and an additional Jackknife stage for estimating the generalization error. We developed a model for the iron uptake system with a higher predictive capacity than classic biochemical models. This was observed both with the apical uptake dataset used for generating the model and with an independent initial rates dataset used to test the predictive capacity of the model. The model obtained is a function of time and the initial apical iron concentration, with a linear component that captures the global tendency of the system, and a non-linear component that can be associated to the movement of DMT1 transporters. The model presented in this paper allows the detailed analysis, interpretation of experimental data, and identification of key relevant components for this complex biological process. This general method holds great potential for application to the elucidation of biological mechanisms and their key components in other complex
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…
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.
Colbourn, E A; Roskilly, S J; Rowe, R C; York, P
2011-10-09
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.
ERIC Educational Resources Information Center
Secondary School Mathematics Curriculum Improvement Study, New York, NY.
This bulletin presents an overview of mathematics education in the sixties, both in the United States and abroad, and suggests similar trends in the seventies. It examines the revolution in mathematics in the past 100 years which led to a unifying reorganization of the subject. Specifically, the authors examine the restructuring of algebra,…
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…
Automatic mathematical modeling for real time simulation program (AI application)
NASA Technical Reports Server (NTRS)
Wang, Caroline; Purinton, Steve
1989-01-01
A methodology is described for automatic mathematical modeling and generating simulation models. The major objective was to create a user friendly environment for engineers to design, maintain, and verify their models; to automatically convert the mathematical models into conventional code for computation; and finally, to document the model automatically.
ERIC Educational Resources Information Center
Seaton, Daniel M.; Carr, Donna
2005-01-01
The purpose of this study was to investigate the impact of participation in a federally sponsored, short-term, cocurricular, mathematics and science program (Science Engineering Mathematics Aerospace Academy, SEMAA) on the engagement rates of sixth- and seventh-grade students in public school mathematics classes. Engagement was measured with the…
ERIC Educational Resources Information Center
DUREN, WILLIAM L.
THIS REPORT DESCRIBES A PROGRAM FOR THE UNDERGRADUATE MATHEMATICAL PREPARATION OF STUDENTS IN THE BIOLOGICAL, MANAGEMENT, AND SOCIAL SCIENCES (BMSS). THE COMMITTEE RECOMMENDS A SEQUENCE OF COURSES WHICH IS DESIGNED TO PROVIDE VARIED TRAINING IN MATHEMATICS IN THE LIMITED TIME BMSS STUDENTS HAVE AVAILABLE. OF SPECIAL IMPORTANCE ARE ELEMENTARY…
Effects of a High School-Based Peer-Delivered "Corrective Mathematics" Program
ERIC Educational Resources Information Center
Parsons, Julie Lynn; Marchand-Martella, Nancy E.; Waldron-Soler, Kathleen; Martella, Ronald C.; Lignugaris/Kraft, Benjamin
2004-01-01
The purpose of this study was to investigate the effects of a peer-delivered "Corrective Mathematics" program ("CM"; Engelmann & Carnine, 1982) in a secondary general education classroom with students with low mathematics performance. Ten learners and 9 peer tutors participated in the study. Peer tutors instructed…
AN EVALUATION OF HIGH SCHOOL MATHEMATICS PROGRAMMED TEXTS WHEN USED WITH DEAF STUDENTS.
ERIC Educational Resources Information Center
BORNSTEIN, HARRY
A COMPARISON WAS MADE OF THE RATE AND LEVEL OF ACHIEVEMENT OF 150 DEAF STUDENTS RESULTING FROM THE USE OF PROGRAMED TEXTS AS AGAINST THE USUAL LECTURE METHODS IN HIGH SCHOOL MATHEMATICS. EACH OF FOUR MATHEMATICS TEACHERS HAD TWO COMPARABLE CLASSES. THE CONTROL GROUP RECEIVED INFORMATION BY SIMULTANEOUS LECTURE AND THE EXPERIMENTAL GROUPS USED THE…
ERIC Educational Resources Information Center
Polly, Drew; Wang, Chuang; McGee, Jennifer; Lambert, Richard G.; Martin, Christie S.; Pugalee, David
2014-01-01
This study presents findings from the first cohort of teachers in a U.S. Department of Education Mathematics Science Partnership (MSP) grant designed to support the use of a standards-based elementary school mathematics curriculum, Investigations in Number, Data, and Space (Investigations). In line with the goals of the MSP program, the 84-hour…
ERIC Educational Resources Information Center
Exner, Robert; And Others
The sixteen chapters of this book provide the core material for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functional-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is…
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…
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,…
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…
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.
Time-programmed dual release formulation by multilayered drug-loaded nanofiber meshes.
Okuda, Tatsuya; Tominaga, Kengo; Kidoaki, Satoru
2010-04-19
To develop a drug carrier that enables time-programmed dual release in a single formulation, multilayered drug-loaded biodegradable nanofiber meshes were designed using sequential electrospinning with the following construction: (i) first drug-loaded mesh (top), (ii) barrier mesh, (iii) second drug-loaded mesh, and (iv) basement mesh (bottom). The drug release speed and duration were controlled by designing morphological features of the electrospun meshes such as the fiber diameter and mesh thickness. Control of the timed release of the second drug-the retardation period-was accomplished by appropriate design of the barrier mesh thickness. An in vitro release experiment demonstrated that the tetra-layered construction described above with appropriate morphological features of each component mesh can provide timed dual release of the respective drugs. The time-programmed dual release system using the multilayered electrospun nanofiber meshes was demonstrated as a useful formulation for advanced multidrug combination therapy requiring regiospecific administration of different drugs at different times. The potential use of the present multilayered formulation is discussed for application to biochemical modulation as one administrative strategy for use in sequential chemotherapy employing multiple anti-tumor drugs.
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.
The Content of Arithmetic Included in a Modern Elementary Mathematics Program.
ERIC Educational Resources Information Center
Harvey, John G.
Details of arithmetic topics proposed for inclusion in a modern elementary mathematics program and a rationale for the selection of these topics are given. The sequencing of the topics is discussed. (Author/DT)
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…
Initial Assessment of a Forgivable Loan Program for Pre-service Mathematics and Science Teachers.
ERIC Educational Resources Information Center
Baker, Thomas E.
Described is the development and initial assessment of a forgiveable loan program designed to attract qualified students into a teacher education program to prepare for teaching mathematics in middle or high schools. The program was established in 1983 at Austin College by the King Foundation. Five qualified students a year may be awarded a King…
ERIC Educational Resources Information Center
Chen, Chiu-Jung; Liu, Pei-Lin
2007-01-01
This study evaluated the effects of a personalized computer-assisted mathematics problem-solving program on the performance and attitude of Taiwanese fourth grade students. The purpose of this study was to determine whether the personalized computer-assisted program improved student performance and attitude over the nonpersonalized program.…
What Is the Place of Algebra in the K-12 Mathematics Program?
ERIC Educational Resources Information Center
Fendel, Dan; And Others
1997-01-01
As times change, so has the role of algebra in the educational program. The Interactive Mathematics Program (IMP) offers secondary students an opportunity to learn algebra in a college preparatory sequence that combines basic skills, problem solving, and conceptual understanding while integrating algebra into a problem-based program. Designed for…
METLIN-PC: An applications-program package for problems of mathematical programming
Pshenichnyi, B.N.; Sobolenko, L.A.; Sosnovskii, A.A.; Aleksandrova, V.M.; Shul`zhenko, Yu.V.
1994-05-01
The METLIN-PC applications-program package (APP) was developed at the V.M. Glushkov Institute of Cybernetics of the Academy of Sciences of Ukraine on IBM PC XT and AT computers. The present version of the package was written in Turbo Pascal and Fortran-77. The METLIN-PC is chiefly designed for the solution of smooth problems of mathematical programming and is a further development of the METLIN prototype, which was created earlier on a BESM-6 computer. The principal property of the previous package is retained - the applications modules employ a single approach based on the linearization method of B.N. Pschenichnyi. Hence the name {open_quotes}METLIN.{close_quotes}
1990-03-01
Final Report D T IC The Clemson University A LECTE University Research Initiative Program APR 0 2 1990 in Discrete Mathematics & D Computational...Analsis AIOOlVI-2-- q3 March 1990 - Clemson University created in September 1986 a University Research Initiative Program in Discrete Mathematics and...year the Steering Committee selected outstanding visiting faculty who were supported by funds supplied by Clemson University with reduced teaching
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…
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.
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.
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…
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…
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…
ERIC Educational Resources Information Center
Costellano, Janet; Scaffa, Matthew
The product of a Special Studies Institute, this teacher developed resource guide for the emotionally handicapped (K-6) presents 37 activities designed to develop mathematics concepts and skills utilizing the urban out-of-doors. Focus is on experiencing math models, patterns, problems, and relationships found in an urban environment. Activities…
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.
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
ERIC Educational Resources Information Center
Mizer, Robert; And Others
This document contains 29 programs and/or material listings that were nominated by at least three persons and for which there was evidence of the quality of the program or materials. Reviewers looked for positive evaluation data on the impact of the materials on students, or other information that assessed the quality of the program or materials,…
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…
ERIC Educational Resources Information Center
King, James M.; And Others
The materials described here represent the conversion of a highly popular student workbook "Sets, Probability and Statistics: The Mathematics of Life Insurance" into a computer program. The program is designed to familiarize students with the concepts of sets, probability, and statistics, and to provide practice using real life examples. It also…
ERIC Educational Resources Information Center
Piburn, Michael D.; Middleton, James A.
Teacher Education for Arizona Mathematics and Science (TEAMS) is a technology-based program for preparing scientists and mathematicians for a career in middle school teaching. The metaphor of "reflective practitioner" guided the design and delivery of this program. Students did not respond well to journal keeping and many failed to…
An Analysis of Remedia l Mathematics Programs in Junior and Community Colleges.
ERIC Educational Resources Information Center
Beal, Jack
This survey of remedial or developmental mathematics programs is based on useable responses from 98 community-junior colleges during the fall and winter of 1969. Of the 185 schools originally contacted, 42 specifically indicated no such program, and only six questioned their appropriateness. The most often indicated reasons for the existance of…
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…
An Assessment of Research-Doctorate Programs in the United States: Mathematical & Physical Sciences.
ERIC Educational Resources Information Center
Jones, Lyle V., Ed.; And Others
The quality of doctoral-level chemistry (N=145), computer science (N=58), geoscience (N=91), mathematics (N=115), physics (N=123), and statistics/biostatistics (N=64) programs at United States universities was assessed, using 16 measures. These measures focused on variables related to: program size; characteristics of graduates; reputational…
Development of a Mathematics, Science, and Technology Education Integrated Program for a Maglev
ERIC Educational Resources Information Center
Park, Hyoung Seo
2006-01-01
The purpose of the study was to develop an MST Integrated Program for making a Maglev hands-on activity for higher elementary school students in Korea. In this MST Integrated Program, students will apply Mathematics, Science, and Technology principles and concepts to the design, construction, and evaluation of a magnetically levitated vehicle. The…
ERIC Educational Resources Information Center
Weiland, Christina; Yoshikawa, Hirokazu
2013-01-01
Publicly funded prekindergarten programs have achieved small-to-large impacts on children's cognitive outcomes. The current study examined the impact of a prekindergarten program that implemented a coaching system and consistent literacy, language, and mathematics curricula on these and other nontargeted, essential components of school readiness,…
ERIC Educational Resources Information Center
Artzt, Alice F.; Curcio, Frances R.
2008-01-01
In response to the critical shortage of qualified mathematics teachers in the U.S., the TIME 2000 Program was created with funds from the National Science Foundation, at Queens College of the City University of New York. Now institutionalized, the program is designed to support the recruitment, preparation, and retention of prospective teachers…
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.
A Survey of Mathematical Programming in the Soviet Union (Bibliography),
1982-01-01
76, 191 PP 17. YEREMIN, I. I., "CONCERNING A METHOD OF PENALITIES IN CONVEX PROGRAMMING", MOSCOW TRUDY CHETVERTAYA ZIMNEAYA SHKOLAY PO...COVER), 78, NO. 4, 203-205 42. SHMELEV. V. V., "SOLUTION OF INTEGER LINEAR PROGRAMMING PROBLEMS BY THE METHOD OF PENALITY FUNCTIONS", AVTOMATIKA I...TELEMEKHANIKA (COVER TO COVER), 78, NO. 11, 149-157 43. SHMELEV. V. V., " PENALITY FUNCTIONS IN INTEGRAL LINEAR PROGRAMMING", AVTOMATIKA I TELEMEKHANIKA
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.
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…
Report of Evaluation: Reading and Mathematics Lab Program. Chapter II, E.C.I.A., 1985-86.
ERIC Educational Resources Information Center
Tompkins, John F.
This report evaluates the reading and mathematics lab programs for elementary and secondary students in the Des Moines (Iowa) Independent Community School District. The reading program served 510 students in 13 schools and mathematics program served 240 students in 7 schools. A variety of assessment instruments were used to pinpoint students'…
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…
Science and Mathematics Enrichment for the Disabled: A Summer Program.
ERIC Educational Resources Information Center
DeLuca, Nancy; Zames, Frieda
1988-01-01
In the summer of 1986, the New Jersey Institute of Technology sponsored a program to provide disabled junior high school students with exposure to technical career options and the skills needed for success in technological fields. Characteristics of the program and the students are discussed. (Author/BJV)
ERIC Educational Resources Information Center
Chilvers, Amanda Leigh
2013-01-01
Researchers have noted that mathematics achievement for deaf and hard-of-hearing (d/hh) students has been a concern for many years, including the ability to problem solve. This quasi-experimental study investigates the use of the Exemplars mathematics program with students in grades 2-8 in a school for the deaf that utilizes American Sign Language…
ERIC Educational Resources Information Center
Lightner, James Edward
The purpose of this study was to examine the mathematics curricula in the undergraduate colleges in Maryland to determine the curricular changes which had occurred over a five-year period from 1962 to 1967 and to ascertain the amount of influence the Committee on the Undergraduate Program in Mathematics (CUPM) recommendations had on these changes.…
Quality evaluation of millet-soy blended extrudates formulated through linear programming.
Balasubramanian, S; Singh, K K; Patil, R T; Onkar, Kolhe K
2012-08-01
Whole pearl millet, finger millet and decorticated soy bean blended (millet soy) extrudates formulations were designed using a linear programming (LP) model to minimize the total cost of the finished product. LP formulated composite flour was extruded through twin screw food extruder at different feed rate (6.5-13.5 kg/h), screw speed (200-350 rpm, constant feed moisture (14% wb), barrel temperature (120 °C) and cutter speed (15 rpm). The physical, functional, textural and pasting characteristics of extrudates were examined and their responses were studied. Expansion index (2.31) and sectional expansion index (5.39) was found to be was found maximum for feed rate and screw speed combination 9.5 kg/h and 250 rpm. However, density (0.25 × 10(-3) g/mm(3)) was maximum for 9.5 kg/h and 300 rpm combination. Maximum color change (10.32) was found for 9.5 kg/h feed rate and 200 rpm screw speed. The lower hardness was obtained for the samples extruded at lowest feed rate (6.5 kg/h) for all screw speed and feed rate at 9.5 kg/h for 300-350 rpm screw speed. Peak viscosity decreases with all screw speed of 9.5 kg/h feed rate.
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.
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.
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.
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…
ERIC Educational Resources Information Center
Harder, Annie K.; And Others
The effectiveness of a loan program in providing an incentive for students to prepare for mathematics and/or science teaching in Washington State is described in this report. It is the third of a three part report to the Washington State Legislature regarding the Teacher Incentive Loan Program for Mathematics and Science. Recipients of forgiveness…
A new high school science program and its effect on student achievement in mathematics and science
NASA Astrophysics Data System (ADS)
Goodman, Robert
Student achievement in mathematics and science is a high educational priority worldwide. The American educational system is not meeting its objectives for these subjects: our students are performing below international standards. The problem is endemic, leading to the conclusion that it is structural. During the last seven years, I have led the creation and implementation of a program whose aim is to address this problem. The structure of this program stresses horizontal and vertical curriculum articulations in order to increase curriculum efficiency and meaningfulness to students. My first aim, in conducting this study, was to determine the program's effectiveness. Since this was a long term program created in a real world environment it would be difficult to use experimental or quasi-experimental analysis. However, I was able to develop a plausible argument for the effectiveness of the program by using two measures to create a baseline for student aptitude and three measures to determine student achievement. Together these showed that the school's students, while typical of those in New Jersey, achieved very positive results in mathematic and science. The likelihood that the new program was responsible for this was enhanced by the fact that the verbal and mathematical aptitudes of the students were comparable, but their achievement in areas outside mathematic and science were not exceptional. My second aim was to provide documentation so that the program could be replicated at other schools. This included the scope and sequence of the mathematics and science courses; the curricula of the physics courses; an explanation the pedagogical approach used in the physics courses, and sample chapters of a textbook being written to support the first year physic course. Whiles those documents supply a snapshot of the current state of the program; they are probably insufficient to replicate it. This would also require an understanding of the program's rationale. Towards this
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.
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
Ocak, Mehmet A.
2006-01-01
This correlation study examined the relationship between gender and the students' attitude and prior knowledge of using one of the mathematical software programs (MATLAB). Participants were selected from one community college, one state university and one private college. Students were volunteers from three Calculus I classrooms (one class from…
ERIC Educational Resources Information Center
Wininger, Steven R.; Adkins, Olivia; Inman, Tracy Ford; Roberts, Julia
2014-01-01
The study's purpose was to develop and validate a scale for assessing interest in mathematics among elementary students as part of an identification protocol for gifted and talented programming. Lohman recommends assessment of interest as a critical element within the ideal approach to identification. Hidi and Renninger's Four-Phase Interest…
The George Engelmann Mathematics & Science Institute. 1993 Annual Report Science Scholar Program.
ERIC Educational Resources Information Center
Missouri Univ., St. Louis. George Englemann Mathematics & Science Inst.
This publication is a comprehensive report on the George Engelmann Mathematics and Science Institute's Science Scholar program (SSP) and its activities in 1993. The SSP provides high achieving high school students an introductory, 4-week summer curriculum designed to demonstrate the connecting thread running through all scientific thought. The 52…
A Study of the Effectiveness of the Comprehensive School Mathematics Program.
ERIC Educational Resources Information Center
Aldridge, Elizabeth A.; Baskerville, Emily T.
Prior to an extensive literary and active research, the researchers hypothesized that the Comprehensive School Mathematics Program (CSMP) would be effective only if implemented on a school-wide, uniform manner that followed the strict CSMP guidelines. Two extensive surveys on teacher attitudes concerning CSMP were administered to teachers in a…
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
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…
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…
ERIC Educational Resources Information Center
Weinberg, Andrea E.; Basile, Carole G.; Albright, Leonard
2011-01-01
A mixed methods design was used to evaluate the effects of four experiential learning programs on the interest and motivation of middle school students toward mathematics and science. The Expectancy-Value model provided a theoretical framework for the exploration of 336 middle school student participants. Initially, participants were generally…
ERIC Educational Resources Information Center
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…
Problem Solving in Mathematics. An ESEA Title IV-C Instructional Program.
ERIC Educational Resources Information Center
Schaaf, Oscar; Brannan, Richard
1981-01-01
Problem solving is viewed as an ability required throughout life, and how we function is seen to be directly related to how well we solve problems. In this document, the issue of a steady decline in students' abilities in the area of mathematical problem solving is confronted and a program designed to teach students the necessary skills in this…
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
Polly, Drew; Wang, Chuang; Lambert, Richard; Martin, Christie; McGee, Jennifer Richardson; Pugalee, David; Lehew, Amy
2017-01-01
This study investigates the impacts of a year-long professional development program on Kindergarten teachers' beliefs and practices and the association of these changes with student achievement in mathematics measured by curriculum-based instruments. Although teacher content knowledge was not statistically significantly different before and after…
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
Mink, Deborah V.; Fraser, Barry J.
2005-01-01
This article describes a one-year study of 120 fifth grade students whose teachers participated in a program entitled Project SMILE (Science and Mathematics Integrated with Literary Experiences). The purpose of the study was to determine the extent to which the classroom implementation of Project SMILE positively influenced the classroom…
Effects of Computer-Based Programs on Mathematical Achievement Scores for Fourth-Grade Students
ERIC Educational Resources Information Center
Ravenel, Jessica; Lambeth, Dawn T.; Spires, Bob
2014-01-01
The purpose of the research study was to identify the effects of computer-based programs on mathematical achievement, perceptions, and engagement of fourth-grade students. The 31 student participants were divided into two intervention groups, as a hands-on group and a computer-based group. Student achievement was measured by comparing the pretest…
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…
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…
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…
The Sisters in Science Program: Building Girls' Interest and Achievement in Science and Mathematics.
ERIC Educational Resources Information Center
Hammrich, Penny L.; Richardson, Greer M.; Livingston, Beverly
The Sisters in Science program seeks to increase elementary school girls' interest and achievement in science and mathematics, to create a more positive learning climate for minority school girls and their families on academic and community/social levels, and increase the knowledge base and understanding of parents with respect to their influence…
A Study of Remedial Mathematics Programs (RMP) at Two Year Colleges (TYC) in New York State (NYS)
ERIC Educational Resources Information Center
Baldwin, James
1974-01-01
Members of the New York State Mathematics Association of Two-Year Colleges were surveyed concerning characteristics of remedial programs, objectives of such programs, and facilities necessary. The results of the survey are reported and discussed. (SD)
ERIC Educational Resources Information Center
Berlin, Donna F.; White, Arthur L.
2002-01-01
Describes the purpose of the Master of Education (M. Ed.) Program in Integrated Mathematics, Science, and Technology Education (MSAT Program) at The Ohio State University and discusses preservice teachers' attitudes and perceptions toward integrated curriculum. (Contains 35 references.) (YDS)
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
Dubetz, Terry A.; Wilson, Jo Ann
2013-01-01
Girls in Engineering, Mathematics and Science (GEMS) is a science and math outreach program for middle-school female students. The program was developed to encourage interest in math and science in female students at an early age. Increased scientific familiarity may encourage girls to consider careers in science and mathematics and will also help…
ERIC Educational Resources Information Center
Saada, Nivan
2012-01-01
I examine a unique Elementary Mathematics Lead Teacher program entering its second decade of operation. The program is based in a large, urban, Midwestern school district, with the vision of developing a cadre of teacher leaders to support mathematics education. The district's professional development content was conventional, including both…
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.
Chang, Weng-Long; Ren, Ting-Ting; Feng, Mang
2015-01-01
In this paper, it is shown that the proposed quantum algorithm for implementing Boolean circuits generated from the DNA-based algorithm solving the vertex-cover problem of any graph G with m edges and n vertices is the optimal quantum algorithm. Next, it is also demonstrated that mathematical solutions of the same biomolecular solutions are represented in terms of a unit vector in the finite-dimensional Hilbert space. Furthermore, for testing our theory, a nuclear magnetic resonance (NMR) experiment of three quantum bits to solve the simplest vertex-cover problem is completed.
NASA Astrophysics Data System (ADS)
Costner, Kelly Mitchell
This study developed and piloted the Problem-Solving Approach to program evaluation, which involves the direct application of the problem-solving process as a metaphor for program evaluation. A rationale for a mathematics-specific approach is presented, and relevant literature in both program evaluation and mathematics education is reviewed. The Problem-Solving Approach was piloted with a high-school level integrated course in mathematics and science that used graphing calculators and data collection devices with the goal of helping students to gain better understanding of relationships between mathematics and science. Twelve students participated in the course, which was co-taught by a mathematics teacher and a science teacher. Data collection for the evaluation included observations, a pre- and posttest, student questionnaires, student interviews, teacher interviews, principal interviews, and a focus group that involved both students and their teachers. Results of the evaluation of the course are presented as an evaluation report. Students showed improvement in their understandings of mathematics-science relationships, but also showed growth in terms of self-confidence, independence, and various social factors that were not expected outcomes. The teachers experienced a unique form of professional development by learning and relearning concepts in each other's respective fields and by gaining insights into each other's teaching strengths. Both the results of the evaluation and the evaluation process itself are discussed in light of the proposed problem-solving approach. The use of problem solving and of specific problem-solving strategies was found to be prevalent among the students and the teachers, as well as in the activities of the evaluator. Specific problem-solving strategies are highlighted for their potential value in program evaluation situations. The resulting Problem-Solving Approach, revised through the pilot application, employs problem solving as a
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...
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.
Phelps, Geoffrey; Kelcey, Benjamin; Jones, Nathan; Liu, Shuangshuang
2016-10-03
Mathematics professional development is widely offered, typically with the goal of improving teachers' content knowledge, the quality of teaching, and ultimately students' achievement. Recently, new assessments focused on mathematical knowledge for teaching (MKT) have been developed to assist in the evaluation and improvement of mathematics professional development. This study presents empirical estimates of average program change in MKT and its variation with the goal of supporting the design of experimental trials that are adequately powered to detect a specified program effect. The study drew on a large database representing five different assessments of MKT and collectively 326 professional development programs and 9,365 teachers. Results from cross-classified hierarchical growth models found that standardized average change estimates across the five assessments ranged from a low of 0.16 standard deviations (SDs) to a high of 0.26 SDs. Power analyses using the estimated pre- and posttest change estimates indicated that hundreds of teachers are needed to detect changes in knowledge at the lower end of the distribution. Even studies powered to detect effects at the higher end of the distribution will require substantial resources to conduct rigorous experimental trials. Empirical benchmarks that describe average program change and its variation provide a useful preliminary resource for interpreting the relative magnitude of effect sizes associated with professional development programs and for designing adequately powered trials.
NASA Astrophysics Data System (ADS)
Jogesh Babu, G.
2017-01-01
A year-long research (Aug 2016- May 2017) program on `Statistical, Mathematical and Computational Methods for Astronomy (ASTRO)’ is well under way at Statistical and Applied Mathematical Sciences Institute (SAMSI), a National Science Foundation research institute in Research Triangle Park, NC. This program has brought together astronomers, computer scientists, applied mathematicians and statisticians. The main aims of this program are: to foster cross-disciplinary activities; to accelerate the adoption of modern statistical and mathematical tools into modern astronomy; and to develop new tools needed for important astronomical research problems. The program provides multiple avenues for cross-disciplinary interactions, including several workshops, long-term visitors, and regular teleconferences, so participants can continue collaborations, even if they can only spend limited time in residence at SAMSI. The main program is organized around five working groups:i) Uncertainty Quantification and Astrophysical Emulationii) Synoptic Time Domain Surveysiii) Multivariate and Irregularly Sampled Time Seriesiv) Astrophysical Populationsv) Statistics, computation, and modeling in cosmology.A brief description of each of the work under way by these groups will be given. Overlaps among various working groups will also be highlighted. How the wider astronomy community can both participate and benefit from the activities, will be briefly mentioned.
SEQAID: a DNA sequence assembling program based on a mathematical model.
Peltola, H; Söderlund, H; Ukkonen, E
1984-01-01
A program package, called SEQAID, to support DNA sequencing is presented. The program automatically assembles long DNA sequences from short fragments with minimal user interaction. Various tools for controlling the assembling process are also available. The main novel features of the system are that SEQAID implements several new well-behaved algorithms based on a mathematical model of the problem. It also utilizes available information on restriction fragments to detect illegitimate overlaps and to find relationships between separately assembled sequence blocks. Experiences with the system are reported including an extremely pathological real sequence which offers an interesting benchmark for this kind of programs. PMID:6320092
NASA Astrophysics Data System (ADS)
Campbell, P. C.; Hawbolt, E. B.; Brimacombe, J. K.
1991-11-01
In this final part of the study, a mathematical model incorporating heat flow, microstructural phenomena, and structure-composition-mechanical property relationships has been developed to compute the yield strength (YS) and ultimate tensile strength (UTS) of steel rod control cooled on a Stelmor line. The predictive capability of the model, in terms of temperature response, microstructural evolution, and strength of the rods, has been tested by comparison to measurements from an extensive set of laboratory and plant trials. Thus, the model has been shown to simulate the complex heat flow and microstructural phenomena in the steel rod very well, although improvements need to be sought in the characterization of the austenite-ferrite transformation kinetics and of pearlite interlamellar spacing. The latter variable has a significant influence on the strength of eutectoid steels. Nonetheless, the model consistently is capable of predicting the strengths of plain-carbon steel rods ranging from 1020 to 1080 to within ± 10 pet.
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)
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.
Mitsos, Alexander; Melas, Ioannis N; Siminelakis, Paraskeuas; Chairakaki, Aikaterini D; Saez-Rodriguez, Julio; Alexopoulos, Leonidas G
2009-12-01
Understanding the mechanisms of cell function and drug action is a major endeavor in the pharmaceutical industry. Drug effects are governed by the intrinsic properties of the drug (i.e., selectivity and potency) and the specific signaling transduction network of the host (i.e., normal vs. diseased cells). Here, we describe an unbiased, phosphoproteomic-based approach to identify drug effects by monitoring drug-induced topology alterations. With our proposed method, drug effects are investigated under diverse stimulations of the signaling network. Starting with a generic pathway made of logical gates, we build a cell-type specific map by constraining it to fit 13 key phopshoprotein signals under 55 experimental conditions. Fitting is performed via an Integer Linear Program (ILP) formulation and solution by standard ILP solvers; a procedure that drastically outperforms previous fitting schemes. Then, knowing the cell's topology, we monitor the same key phosphoprotein signals under the presence of drug and we re-optimize the specific map to reveal drug-induced topology alterations. To prove our case, we make a topology for the hepatocytic cell-line HepG2 and we evaluate the effects of 4 drugs: 3 selective inhibitors for the Epidermal Growth Factor Receptor (EGFR) and a non-selective drug. We confirm effects easily predictable from the drugs' main target (i.e., EGFR inhibitors blocks the EGFR pathway) but we also uncover unanticipated effects due to either drug promiscuity or the cell's specific topology. An interesting finding is that the selective EGFR inhibitor Gefitinib inhibits signaling downstream the Interleukin-1alpha (IL1alpha) pathway; an effect that cannot be extracted from binding affinity-based approaches. Our method represents an unbiased approach to identify drug effects on small to medium size pathways which is scalable to larger topologies with any type of signaling interventions (small molecules, RNAi, etc). The method can reveal drug effects on
Soni, T G; Desai, J U; Nagda, C D; Gandhi, T R; Chotai, N P
2008-01-01
The US Food and Drug Administration's (FDA's) guidance for industry on dissolution testing of immediate-release solid oral dosage forms describes that drug dissolution may be the rate limiting step for drug absorption in the case of low solubility/high permeability drugs (BCS class II drugs). US FDA Guidance describes the model-independent mathematical approach proposed by Moore and Flanner for calculating a similarity factor (f2) of dissolution across a suitable time interval. In the present study, the similarity factor was calculated on dissolution data of two marketed aceclofenac tablets (a BCS class II drug) using various weighing approaches proposed by Gohel et al. The proposed approaches were compared with a conventional approach (W = 1). On the basis of consideration of variability, preference is given in the order of approach 3 > approach 2 > approach 1 as approach 3 considers batch-to-batch as well as within-samples variability and shows best similarity profile. Approach 2 considers batch-to batch variability with higher specificity than approach 1.
1996-11-01
This document is intended to serve two purposes. Its first purpose is that of a program status report of the considerable progress that the Department of Energy (DOE) has made since 1993, the time of the last such report (DOE/ER-0536, The DOE Program in HPCC), toward achieving the goals of the High Performance Computing and Communications (HPCC) Program. The second purpose is that of a summary report of the many research programs administered by the Mathematical, Information, and Computational Sciences (MICS) Division of the Office of Energy Research under the auspices of the HPCC Program and to provide, wherever relevant, easy access to pertinent information about MICS-Division activities via universal resource locators (URLs) on the World Wide Web (WWW).
1996-06-01
This document is intended to serve two purposes. Its first purpose is that of a program status report of the considerable progress that the Department of Energy (DOE) has made since 1993, the time of the last such report (DOE/ER-0536, {open_quotes}The DOE Program in HPCC{close_quotes}), toward achieving the goals of the High Performance Computing and Communications (HPCC) Program. The second purpose is that of a summary report of the many research programs administered by the Mathematical, Information, and Computational Sciences (MICS) Division of the Office of Energy Research under the auspices of the HPCC Program and to provide, wherever relevant, easy access to pertinent information about MICS-Division activities via universal resource locators (URLs) on the World Wide Web (WWW). The information pointed to by the URL is updated frequently, and the interested reader is urged to access the WWW for the latest information.
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?
ERIC Educational Resources Information Center
Stiff, Lee V.
This catalog describes 38 successful mathematics education programs in six states. In each program the site, content focus, grade level, program description, and address for contact are provided. Summary tables are organized by content focus; grade level; and by achievement level of students targeted by programs including special, remedial,…
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
Coleman, Daniel R.; And Others
Results of a study that compared the performance of students in high technology programs in engineering and computer science are presented, with emphasis on students' mathematical preparation. The study population involved 175 transfer students who completed their mathematical prerequisites at three community colleges and 188 students who…
ERIC Educational Resources Information Center
Collagan, Robert B.
1969-01-01
Discusses the construction and evaluation of a programed course in mathematics designed to provide remedial instruction to college freshmen who scored below the 25th percentile on the ACT examination. The study involved 200 students at Morgan State College, Maryland. Dependent variables were scores on several mathematics and physics tests given…
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
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
Hudesman, John; Crosby, Sara; Ziehmke, Niesha; Everson, Howard; Issac, Sharlene; Flugman, Bert; Zimmerman, Barry; Moylan, Adam
2014-01-01
The authors describe an Enhanced Formative Assessment and Self-Regulated Learning (EFA-SRL) program designed to improve the achievement of community college students enrolled in developmental mathematics courses. Their model includes the use of specially formatted quizzes designed to assess both the students' mathematics and metacognitive skill…
ERIC Educational Resources Information Center
Martin, Hope
2007-01-01
"Mathematical literacy" implies that a person is able to reason, analyze, formulate, and solve problems in a real-world setting. Mathematically literate individuals are informed citizens and intelligent consumers. They have the ability to interpret and analyze the vast amount of information they are inundated with daily in newspapers, on…
Reading/Mathematics Lab Program, Chapter II, E.C.I.A., 1983-84. Report of Evaluation.
ERIC Educational Resources Information Center
Tompkins, John F.
The 1983-84 Chapter II Reading and Mathematics Lab Program of the Des Moines (Iowa) Independent Community School District is evaluated in this report. The first section describes the program. Topics covered include the history of the program, the educational activities carried out under its aegis, how instruction was organized, theories utilized…
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…
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
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
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…
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.
1987-01-01
improving the labor productivity of defense organizations. Z ! ! Z st 17 Policy 6. Top priority shall be given to those poten- tial investments that...can be enforced using the integer MP formulation in at least two ways: Z --X(i) <= 1 for all i in J (7) X(i) 1 for all i in J (8) %V 32 In equation 7...solution insensitive to the rate chosen. Z Z 36 In summary, under capital hard rationing, the discount rate cannot be known before the optimal solution is
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.
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
Brizius, Martine G.; Luckey, Heather B.
This report summarizes the 1998 reporting year data on the National Science Foundation's (NSF's) Graduate Research Traineeship (GRT) program. The GRT program supports the research and education of talented students pursuing graduate degrees in critical and emerging areas of science, mathematics, engineering, and technology (SMET) and SMET…
ERIC Educational Resources Information Center
Swars, Susan L.; Smith, Stephanie Z.; Smith, Marvin E.; Hart, Lynn C.
2009-01-01
The universal emphasis in mathematics education on teaching and learning for understanding can require substantial paradigmatic shifts for many elementary school teachers. Consequently, a pressing goal of teacher preparation programs should be the facilitation of these changes during program experiences. This longitudinal, mixed methods study…
NASA Technical Reports Server (NTRS)
Kumar, L.
1978-01-01
A computer program is described for calculating the flexibility coefficients as arm design changes are made for the remote manipulator system. The coefficients obtained are required as input for a second program which reduces the number of payload deployment and retrieval system simulation runs required to simulate the various remote manipulator system maneuvers. The second program calculates end effector flexibility and joint flexibility terms for the torque model of each joint for any arbitrary configurations. The listing of both programs is included in the appendix.
A compact formulation for maximizing the expected number of transplants in kidney exchange programs
NASA Astrophysics Data System (ADS)
Alvelos, Filipe; Klimentova, Xenia; Rais, Abdur; Viana, Ana
2015-05-01
Kidney exchange programs (KEPs) allow the exchange of kidneys between incompatible donor-recipient pairs. Optimization approaches can help KEPs in defining which transplants should be made among all incompatible pairs according to some objective. The most common objective is to maximize the number of transplants. In this paper, we propose an integer programming model which addresses the objective of maximizing the expected number of transplants, given that there are equal probabilities of failure associated with vertices and arcs. The model is compact, i.e. has a polynomial number of decision variables and constraints, and therefore can be solved directly by a general purpose integer programming solver (e.g. Cplex).
Improving Air Force Depot Programming by Linking Resources to Capabilities
2012-01-01
Maintenance Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 Mathematical Formulation of the Depot Purchased Equipment...basis for the similitude of capability across these business areas and a quantitative anchor for programming trades. Anecdotal information indicates that... mathematical formulation. Description of the Depot Purchased Equipment Maintenance Model The requirements process designates, for each year in the FYDP, a number
ERIC Educational Resources Information Center
Lee, Mimi Miyoung; Chauvot, Jennifer; Plankis, Brian; Vowell, Julie; Culpepper, Shea
2011-01-01
iSMART (Integration of Science, Mathematics, and Reflective Teaching) Program is an online science and mathematics integrated graduate program for middle school teachers across the state of Texas. As part of a large design-based research project, this paper describes the initial stages of the design process of the iSMART program for its first…
ERIC Educational Resources Information Center
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
Piel, John A.; And Others
1994-01-01
Describes a summer mathematics institute designed for the professional development of practicing elementary teachers who need to implement NCTM (National Council of Teachers of Mathematics) standards in mathematics education. Highlights include task analysis, manipulated mathematics, computer transition activities, curriculum-based assessment, and…
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.
ERIC Educational Resources Information Center
ERICKSEN, GERALD L.; RYAN, JAMES J.
A REPORT IS GIVEN OF THE FIRST 3 YEARS OF A FIELD STUDY CONDUCTED TO DETERMINE THE EFFECTIVENESS OF SEVERAL PROTOTYPE, SECONDARY MATHEMATICS PROGRAMS THAT WERE PRODUCED BY DIFFERENT CURRICULUM DEVELOPMENT GROUPS. MATHEMATICS TEACHERS WHO HAD NO PREVIOUS EXPERIENCE WITH "MODERN" OR EXPERIMENTAL APPROACHES TO MATHEMATICS TAUGHT A SELECTED…
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.
Maton, Kenneth I; Pollard, Shauna A; McDougall Weise, Tatiana V; Hrabowski, Freeman A
2012-01-01
The Meyerhoff Scholars Program at the University of Maryland, Baltimore County is widely viewed as a national model of a program that enhances the number of underrepresented minority students who pursue science, technology, engineering, and mathematics PhDs. The current article provides an overview of the program and the institution-wide change process that led to its development, as well as a summary of key outcome and process evaluation research findings. African American Meyerhoff students are 5× more likely than comparison students to pursue a science, technology, engineering, and mathematics PhD. Program components viewed by the students as most beneficial include financial scholarship, being a part of the Meyerhoff Program community, the Summer Bridge program, study groups, and summer research. Qualitative findings from interviews and focus groups demonstrate the importance of the Meyerhoff Program in creating a sense of belonging and a shared identity, encouraging professional development, and emphasizing the importance of academic skills. Among Meyerhoff students, several precollege and college factors have emerged as predictors of successful entrance into a PhD program in the science, technology, engineering, and mathematics fields, including precollege research excitement, precollege intrinsic math/science motivation, number of summer research experiences during college, and college grade point average. Limitations of the research to date are noted, and directions for future research are proposed.
ERIC Educational Resources Information Center
KING, L.C.
REPORTED ARE THE FINDINGS AND RECOMMENDATIONS OF A PANEL ESTABLISHED BY THE ADVISORY COUNCIL ON COLLEGE CHEMISTRY (ACCC) WORKING COOPERATIVELY WITH THE COMMITTEE ON THE UNDERGRADUATE PROGRAM IN MATHEMATICS (CUPM). THE FUNCTION OF THIS PANEL WAS TO DETERMINE THE APPROPRIATENESS OF RECOMMENDATIONS FOR CHANGES IN THE UNDERGRADUATE MATHEMATICS…
NASA Astrophysics Data System (ADS)
Yin, Sisi; Nishi, Tatsushi
2014-11-01
Quantity discount policy is decision-making for trade-off prices between suppliers and manufacturers while production is changeable due to demand fluctuations in a real market. In this paper, quantity discount models which consider selection of contract suppliers, production quantity and inventory simultaneously are addressed. The supply chain planning problem with quantity discounts under demand uncertainty is formulated as a mixed-integer nonlinear programming problem (MINLP) with integral terms. We apply an outer-approximation method to solve MINLP problems. In order to improve the efficiency of the proposed method, the problem is reformulated as a stochastic model replacing the integral terms by using a normalisation technique. We present numerical examples to demonstrate the efficiency of the proposed method.
Observations on the linear programming formulation of the single reflector design problem.
Canavesi, Cristina; Cassarly, William J; Rolland, Jannick P
2012-02-13
We implemented the linear programming approach proposed by Oliker and by Wang to solve the single reflector problem for a point source and a far-field target. The algorithm was shown to produce solutions that aim the input rays at the intersections between neighboring reflectors. This feature makes it possible to obtain the same reflector with a low number of rays - of the order of the number of targets - as with a high number of rays, greatly reducing the computation complexity of the problem.
ERIC Educational Resources Information Center
Francisco, John M.; Maher, Carolyn A.
2011-01-01
There is a documented need for more opportunities for teachers to learn about students' mathematical reasoning. This article reports on the experiences of a group of elementary and middle school mathematics teachers who participated as interns in an after-school, classroom-based research project on the development of mathematical ideas involving…
ERIC Educational Resources Information Center
Cohen, Miriam
2012-01-01
The outcome of American students' performances during international comparisons consistently scoring inadequately in mathematics exposes the crisis of deficient mathematics achievement thus causing deep concerns. Learners who acquire a strong theoretical foundation in mathematics at the primary level thrived later in more advanced level…
ERIC Educational Resources Information Center
Lambic, Dragan
2011-01-01
One of the biggest problems in teaching Mathematics is the motivation of students (Kloosterman, 1997; Lambic, 2008). The core of this problem is insufficient comprehension of reasons by students, why they want to learn Mathematics and in which way they could apply acquired knowledge of Mathematics (Southwell, 1994; Musto, 2008). Since programming…
Principles to Actions: Mathematics Programs as the Core for Student Learning
ERIC Educational Resources Information Center
Brahier, Daniel; Leinwand, Steve; Huniker, DeAnn
2014-01-01
The National Council of Teachers of Mathematics (NCTM) launched the "standards-based" education movement in North America in 1989 with the release of "Curriculum and Evaluation Standards for School Mathematics," an unprecedented action to promote systemic improvement in mathematics education. Now, twenty-five years later, the…
ERIC Educational Resources Information Center
Ferreira, Maria M.
This study examined the impact of an after-school science program that incorporated cooperative learning, hands-on activities, mentoring, and role models on a group of minority female students' attitudes toward science, engineering, and mathematics. Eighteen African American middle school students participated in the study. Seven female engineers…
NASA Technical Reports Server (NTRS)
Heydorn, R. D.
1984-01-01
The Mathematical Pattern Recognition and Image Analysis (MPRIA) Project is concerned with basic research problems related to the study of the Earth from remotely sensed measurement of its surface characteristics. The program goal is to better understand how to analyze the digital image that represents the spatial, spectral, and temporal arrangement of these measurements for purposing of making selected inference about the Earth.
NASA Technical Reports Server (NTRS)
Desoer, C. A.; Polak, E.; Zadeh, L. A.
1974-01-01
A series of research projects is briefly summarized which includes investigations in the following areas: (1) mathematical programming problems for large system and infinite-dimensional spaces, (2) bounded-input bounded-output stability, (3) non-parametric approximations, and (4) differential games. A list of reports and papers which were published over the ten year period of research is included.
ERIC Educational Resources Information Center
Deppe, Scott
2012-01-01
This exploratory phenomenological study was designed to investigate the relationships between mathematics and music skills of students participating in successful high school instrumental music programs. The participants of this study were purposefully selected and included one math educator or math department chairperson and the band or orchestra…
ERIC Educational Resources Information Center
Pape, Stephen J.; Prosser, Sherri K.; Griffin, Cynthia C.; Dana, Nancy Fichtman; Algina, James; Bae, Jungah
2015-01-01
This study sought to identify components of an asynchronous online teacher professional development program, "Prime Online," that potentially affected participants' mathematical knowledge for teaching (MKT). Twenty-three third- through fifth-grade general education and special education teachers completed a yearlong online teacher…
ERIC Educational Resources Information Center
Creswell, John L.; Hudson, Charles
An analysis of the cognitive and affective outcomes of individualized programmed experiments (IPE) on seventh-grade pupils was performed. Based on the theory that student attitudes towards mathematics are largely shaped during the period of time spanned between fourth through eighth grade, researchers investigated the effectiveness of nonlecture…
ERIC Educational Resources Information Center
Van der Vossen, Maria R.
2012-01-01
This causal-comparative study examined the relationship between enrollment/non-enrollment in music programs of differing content or quality and mathematical achievement among 739 secondary (grades 8-12) students from four different Maryland counties. The students, both female and male, were divided into sample groups by their participation in a…
ERIC Educational Resources Information Center
Geist, Eugene A.; Geist, Kamile
2009-01-01
This action research project is designed as a music-based intervention to address and overcome some of the risk factors for low achievement in mathematics that research has linked to poverty level. The National Assessment of Educational Progress found that children who are eligible for school lunch programs in 4th grade score on average 13 points…
ERIC Educational Resources Information Center
Garza, Rubén; Harter, Rod A.
2016-01-01
The purpose of our study was to examine mathematics and science pre-service teachers' perceptions of their mentoring experiences during their 1st year in the Teaching Residency Program for Critical Shortage Areas, an initiative designed to recruit, prepare, and retain teachers for high-need urban schools. Results from this mixed-methods study…
ERIC Educational Resources Information Center
Dimitriadis, Christos
2016-01-01
This study investigated the educational provision for mathematically gifted students offered in primary (elementary) schools in England (United Kingdom) just before the abandonment of the government's Gifted and Talented (G&T) program. Through a questionnaire within five Educational Authorities and four in-depth case studies in different…
ERIC Educational Resources Information Center
Tarlow, Lynn D.
2014-01-01
This study documents the change in teaching practices of a group of mathematics teachers in urban middle schools as they participated in a program of professional development to promote standards-based learning environments. The teachers made a shift in their classroom practice from a traditional, didactic lecture approach towards a role of…
ERIC Educational Resources Information Center
Wen, Xiaoli; Bulotsky-Shearer, Rebecca J.; Hahs-Vaughn, Debbie L.; Korfmacher, Jon
2012-01-01
Guided by a developmental-ecological framework and Head Start's two-generational approach, this study examined two dimensions of Head Start program quality, classroom quality and parent involvement and their unique and interactive contribution to children's vocabulary, literacy, and mathematics skills growth from the beginning of Head Start…
ERIC Educational Resources Information Center
Konold, Clifford
For several years, the University of Massachusetts has been developing a series of introductory-level mathematics courses which place primary emphasis on the development of problem solving and conceptual skills. As the need arose for more instructors for this course, an instructor-training program was developed. This report describes the…
Mathematical modeling reveals the biological program regulating lymphopenia-induced proliferation.
Yates, Andrew; Saini, Manoj; Mathiot, Anne; Seddon, Benedict
2008-02-01
Recognition of peptide-MHC by the TCR induces T lymphocytes to undergo cell division. Although recognition of foreign peptide induces a program of cellular division and differentiation by responding T cells, stimulation by self-peptide MHC complexes in lymphopenic conditions induces a slower burst of divisions that may or may not be accompanied by effector differentiation. Although both responses are triggered by signals from the TCR, it is not known whether they represent distinct programs of cell cycle control. In this study, we use a mathematical modeling approach to analyze the proliferative response of TCR transgenic F5 T cells to lymphopenia. We tested two fundamentally different models of cell division: one in which T cells are triggered into an "autopilot" deterministic burst of divisions, a model successfully used elsewhere to describe T cell responses to cognate Ag, and a second contrasting model in which cells undergo independent single stochastic divisions. Whereas the autopilot model provided a very poor description of the F5 T cell responses to lymphopenia, the model of single stochastic divisions fitted the experimental data remarkably closely. Furthermore, this model proved robust because specific predictions of cellular behavior made by this model concerning the onset, rate, and nature of division were successfully validated experimentally. Our results suggest cell division induced by lymphopenia involves a process of single stochastic divisions, which is best suited to a homeostatic rather than differentiation role.
A method for optimizing waste collection using mathematical programming: a Buenos Aires case study.
Bonomo, Flavio; Durán, Guillermo; Larumbe, Frederico; Marenco, Javier
2012-03-01
A method is proposed that uses operations research techniques to optimize the routes of waste collection vehicles servicing dumpster or skip-type containers. The waste collection problem is reduced to the classic travelling salesman problem, which is then solved using the Concorde solver program. A case study applying the method to the collection system in the southern zone of Buenos Aires is also presented. In addition to the typical minimum distance criterion, the optimization problem incorporates the objective of reducing vehicle wear and tear as measured by the physics concept of mechanical work. The solution approach, employing graph theory and mathematical programming tools, is fully described and the data correction process is also discussed. The application of the proposed method minimized the distance travelled by each collection vehicle in the areas studied, with actual reductions ranging from 10 to 40% of the existing routes. The shortened distances led in turn to substantial decreases in work done and therefore in vehicle wear and tear. Extrapolation of the results to the entire southern zone of Buenos Aires indicates potential savings for the civic authorities of more than US $200,000 per year in addition to the qualitative impacts of less traffic disruption, less vehicle driver fatigue and less pollution.
ERIC Educational Resources Information Center
McGinnis, J. Randy; Watanabe, Tad; McDuffie, Amy Roth
2005-01-01
This study was conducted in a reform-based mathematics and science teacher education program in the USA, the Maryland Collaborative for Teacher Preparation (MCTP). The goal of the undergraduate program was to prepare upper elementary/middle level specialists in mathematics and science. One significant aspect of the MCTP was the expectation that…
Briend, André; Darmon, Nicole; Ferguson, Elaine; Erhardt, Juergen G
2003-01-01
During the complementary feeding period, children require a nutrient-dense diet to meet their high nutritional requirements. International interest exists in the promotion of affordable, nutritionally adequate complementary feeding diets based on locally available foods. In this context, two questions are often asked: 1) is it possible to design a diet suitable for the complementary feeding period using locally available food? and 2) if this is possible, what is the lowest-cost, nutritionally adequate diet available? These questions are usually answered using a "trial and error" approach. However, a more efficient and rigorous technique, based on linear programming, is also available. It has become more readily accessible with the advent of powerful personal computers. The purpose of this review, therefore, is to inform pediatricians and public health professionals about this tool. In this review, the basic principles of linear programming are briefly examined and some practical applications for formulating sound food-based nutritional recommendations in different contexts are explained. This review should facilitate the adoption of this technique by international health professionals.
Investigating the Impact of Field Trips on Teachers' Mathematical Problem Posing
ERIC Educational Resources Information Center
Courtney, Scott A.; Caniglia, Joanne; Singh, Rashmi
2014-01-01
This study examines the impact of field trip experiences on teachers' mathematical problem posing. Teachers from a large urban public school system in the Midwest participated in a professional development program that incorporated experiential learning with mathematical problem formulation experiences. During 2 weeks of summer 2011, 68 teachers…
ERIC Educational Resources Information Center
Langbort, Carol, Ed.; Curtis, Deborah, Ed.
2000-01-01
The focus of this special issue is mathematics education. All articles were written by graduates of the new masters Degree program in which students earn a Master of Arts degree in Education with a concentration in Mathematics Education at San Francisco State University. Articles include: (1) "Developing Teacher-Leaders in a Masters Degree Program…
NASA Technical Reports Server (NTRS)
Heydorn, R. P.
1984-01-01
The Mathematical Pattern Recognition and Image Analysis (MPRIA) Project is concerned with basic research problems related to the study of he Earth from remotely sensed measurements of its surface characteristics. The program goal is to better understand how to analyze the digital image that represents the spatial, spectral, and temporal arrangement of these measurements for purposing of making selected inferences about the Earth. This report summarizes the progress that has been made toward this program goal by each of the principal investigators in the MPRIA Program.
1992-07-24
opportunity to see "mathematics at work" in every day life through films , videos. etc. and to visit the workplace of and to interact directly with...the tours, students viewed video tapes and a film , and discussed career opportunities in mathematics-based fields. The students viewed the video...Solve It." The students also viewed the film "Donald in Mathemagic Land" which shows how mathematics grows from simple ideas. This component also
NASA Astrophysics Data System (ADS)
Singer, J.; Ryan, J. G.
2012-12-01
The Transforming Undergraduate Education in Science, Technology, Engineering, and Mathematics (TUES) program seeks to improve the quality of science, technology, engineering, and mathematics (STEM) education for all undergraduate students. Activities supported by the TUES program include the creation, adaptation, and dissemination of learning materials and teaching strategies, development of faculty expertise, implementation of educational innovations, and research on STEM teaching and learning. The TUES program especially encourages projects that have the potential to transform undergraduate STEM education and active dissemination and building a community of users are critical components of TUES projects. To raise awareness about the TUES program and increase both the quality and quantity of proposals submitted by geoscientists to the program, information sessions and proposal writing retreats are being conducted. Digital resources developed especially for the geosciences community are available at www.buffalostate.edu/RTUGeoEd to share information about the TUES program and the many ways this NSF program supports innovation in geoscience education. This presentation also addresses identified impediments to submitting a TUES proposal and strategies for overcoming reasons discouraging geoscientists from preparing a proposal and/or resubmitting a declined proposal.
Early Numeracy Intervention Program for First-Grade Students with Mathematics Difficulties
ERIC Educational Resources Information Center
Bryant, Diane Pedrotty; Bryant, Brian R.; Roberts, Greg; Vaughn, Sharon; Pfannenstiel, Kathleen Hughes; Porterfield, Jennifer; Gersten, Russell
2011-01-01
The purpose of this study was to determine the effects of an early numeracy preventative Tier 2 intervention on the mathematics performance of first-grade students with mathematics difficulties. Researchers used a pretest-posttest control group design with randomized assignment of 139 students to the Tier 2 treatment condition and 65 students to…
ERIC Educational Resources Information Center
Xin, Yan Ping; Tzur, Ron; Hord, Casey; Liu, Jia; Park, Joo Young; Si, Luo
2017-01-01
The Common Core Mathematics Standards have raised expectations for schools and students in the United States. These standards demand much deeper content knowledge from teachers of mathematics and their students. Given the increasingly diverse student population in today's classrooms and shortage of qualified special education teachers,…
ERIC Educational Resources Information Center
South Dakota Dept. of Environmental Protection, Pierre.
This booklet is intended to aid the prospective waste treatment plant operator or drinking water plant operator in learning to solve mathematical problems, which is necessary for Class I certification. It deals with the basic mathematics which a Class I operator may require in accomplishing day-to-day tasks. The book also progresses into problems…
Incorporating Mathematics into the Science Program of Students Labeled "At-Risk"
ERIC Educational Resources Information Center
Seki, Judith M.; Menon, Ramakrishnan
2007-01-01
Twenty three at-risk high school female students who had failed mathematics and science in a traditional school setting were the subjects of this study that integrated mathematics and science lessons over a period of four weeks. Using a combination of direct instruction, calculations, graphing, hands-on projects, and discussion, the topic of…
ERIC Educational Resources Information Center
Marshall, Neil; Buteau, Chantal
2014-01-01
As part of their undergraduate mathematics curriculum, students at Brock University learn to create and use computer-based tools with dynamic, visual interfaces, called Exploratory Objects, developed for the purpose of conducting pure or applied mathematical investigations. A student's Development Process Model of creating and using an Exploratory…
ERIC Educational Resources Information Center
Santagata, Rossella; Bray, Wendy
2016-01-01
This study examined processes at the core of teacher professional development (PD) experiences that might positively impact teacher learning and more specifically teacher change. Four processes were considered in the context of a PD program focused on student mathematical errors: analysis of students' mathematical misconceptions as a lever for…
ERIC Educational Resources Information Center
Berlin, Donna F.; White, Arthur L.
2010-01-01
The purpose of this article is twofold: (a) to describe a unique teacher licensure program for grades 7-12 that integrates mathematics, science, and technology education and (b) to explore the attitudes and perceptions related to the integration of mathematics, science, and technology education of three cohorts of preservice teachers enrolled in…
ERIC Educational Resources Information Center
Vomvoridi-Ivanovic, Eugenia
2012-01-01
This paper explores Mexican-American prospective teachers' use of culture--defined as social practices and shared experiences--as an instructional resource in mathematics. The setting is an after-school mathematics program for the children of Mexican heritage. Qualitative analysis of the prospective teachers' and children's interactions reveals…
Not Available
1993-12-01
This teacher education program will provide a model for recruiting, educating and retaining high ability students to become mathematics and science lead teachers in elementary schools. The quality experiences and support provided these students will help them develop the knowledge and attitudes necessary to provide leadership for elementary mathematics and science programs. Students will have research experiences at the Ames Laboratory, high quality field experiences with nationally recognized mathematics and science teachers in local schools and opportunities to meaningfully connect these two experiences. This program, collaboratively designed and implemented by scientists, teacher educators and classroom teachers, should provide a replicatable model for other teacher education institutions. In addition, materials developed for the project should help other laboratories interface more effectively with K-8 schools and help other teacher education programs incorporate real science and mathematics experience into their curriculum.
ERIC Educational Resources Information Center
Poage, Melvin; Wegener, Delano
A remedial mathematics program at the college level is described. The evolution of the course from 1973 until 1979, the program purpose, conceptual framework, procedures, subjects, instruments, and methods are described. Appendices include unit objectives, a chronological development of the program by semester, and data on student achievement. (MK)
ERIC Educational Resources Information Center
Scott, George A.
2012-01-01
Science, technology, engineering, and mathematics (STEM) education programs help to enhance the nation's global competitiveness. Many federal agencies have been involved in administering these programs. Concerns have been raised about the overall effectiveness and efficiency of STEM education programs. GAO examined (1) the number of federal…
Computer Mathematics: An Introduction.
ERIC Educational Resources Information Center
New York City Board of Education, Brooklyn, NY. Div. of Curriculum and Instruction.
This document describes a mathematics course that uses the computer to solve mathematics problems. It was developed to be used with students who have completed at least one year of general mathematics or are not achieving success in the traditional mathematics program. The course is intended to review, reinforce, and extend concepts included in…
NASA Technical Reports Server (NTRS)
Glassman, Nanci A.; Perry, Jeannine B.; Giersch, Christopher E.; Lambert, Matthew A.; Pinelli, Thomas E.
2004-01-01
NASA CONNECT is a research-, inquiry, and standards-based, integrated mathematics, science, and technology series of 30-minute instructional distance learning (television and web-based) programs for students in grades 6 8. Respondents who evaluated the programs in the series over the first five seasons (1998-99 through 2002-03) reported that (1) they used the programs in the series; (2) the goals and objectives for the series were met; (3) the programs were aligned with the national mathematics, science, and technology standards; (4) the program content was developmentally appropriate for the grade level; and (5) the programs in the series enhanced and enriched the teaching of mathematics, science, and technology.
UH-60A Black Hawk engineering simulation program. Volume 1: Mathematical model
NASA Technical Reports Server (NTRS)
Howlett, J. J.
1981-01-01
A nonlinear mathematical model of the UR-60A Black Hawk helicopter was developed. This mathematical model, which was based on the Sikorsky General Helicopter (Gen Hel) Flight Dynamics Simulation, provides NASA with an engineering simulation for performance and handling qualities evaluations. This mathematical model is total systems definition of the Black Hawk helicopter represented at a uniform level of sophistication considered necessary for handling qualities evaluations. The model is a total force, large angle representation in six rigid body degrees of freedom. Rotor blade flapping, lagging, and hub rotational degrees of freedom are also represented. In addition to the basic helicopter modules, supportive modules were defined for the landing interface, power unit, ground effects, and gust penetration. Information defining the cockpit environment relevant to pilot in the loop simulation is presented.
NASA Astrophysics Data System (ADS)
Zhang, Taiping; Stackhouse, Paul W.; Gupta, Shashi K.; Cox, Stephen J.; Mikovitz, J. Colleen
2017-02-01
Occasionally, a need arises to downscale a time series of data from a coarse temporal resolution to a finer one, a typical example being from monthly means to daily means. For this case, daily means derived as such are used as inputs of climatic or atmospheric models so that the model results may exhibit variance on the daily time scale and retain the monthly mean of the original data set without an abrupt change from the end of one month to the beginning of the next. Different methods have been developed which often need assumptions, free parameters and the solution of simultaneous equations. Here we derive a generalized formulation by means of Fourier transform and inversion so that it can be used to directly compute daily means from a series of an arbitrary number of monthly means. The formulation can be used to transform any coarse temporal resolution to a finer one. From the derived results, the original data can be recovered almost identically. As a real application, we use this method to derive the daily counterpart of the MAC-v1 aerosol climatology that provides monthly mean aerosol properties for 18 shortwave bands and 12 longwave bands for the years from 1860 to 2100. The derived daily means are to be used as inputs of the shortwave and longwave algorithms of the NASA GEWEX SRB project.
ERIC Educational Resources Information Center
Kang, Hyun Jung
2012-01-01
Drawing on Lave and Wenger (1991) this study explores how preservice elementary teachers develop themselves as teachers of mathematics, in particular, from the time of their teacher education courses to their field experiences. This study also researches the critical experiences that contributed to the construction of their identities and their…
ERIC Educational Resources Information Center
DePaolo, Concetta A.
This paper explores the application of a mathematical optimization model to the problem of optimal enrollments. The general model, which can be applied to any institution, seeks to enroll the "best" class of students (as defined by the institution) subject to constraints imposed on the institution (e.g., capacity, quality). Topics…
ERIC Educational Resources Information Center
Wilburne, Jane M.; Long, Michael
2010-01-01
Seventy secondary mathematics pre-service teachers from two universities were assessed on their content knowledge, vocabulary knowledge, and their perceived confidence in teaching the content addressed on the eleventh grade state assessment. The results indicate the pre-service teachers had significant content weakness in data analysis, algebra,…
ERIC Educational Resources Information Center
Creese, T. M.
1978-01-01
A course on ordinary differential equations preceding multivariable calculus can be made to suit present-day engineering curricula and resolve certain difficulties concerning the undergraduate engineering student's motivation, technical skill, ability to retain and use mathematical material, and potential for further growth. (Author/MP)
ERIC Educational Resources Information Center
Martinez, Alina; Cosentino de Cohen, Clemencia
2010-01-01
This report presents findings from a NASA requested evaluation in 2008, which contains both implementation and impact modules. The implementation study investigated how sites implement Science, Engineering, Mathematics, and Aerospace Academy (SEMAA) and the contextual factors important in this implementation. The implementation study used data…
ERIC Educational Resources Information Center
Raitano, Amanda Lynn
2013-01-01
The Rhode Island Department of Education determined that 56% of high school juniors in public schools are not meeting mathematics performance standards. If a student is not proficient in school, then his or her ability and desire to continue education are diminished, raising the chances of drop out. Hispanic students have the highest dropout rate…
NAEP 1992 Mathematics State Report for New Mexico. The Trial State Assessment Program.
ERIC Educational Resources Information Center
National Assessment of Educational Progress, Princeton, NJ.
In 1990, the National Assessment of Educational Progress (NAEP) included a Trial State Assessment which, for the first time in the NAEP's history, made voluntary state-by-state assessments. This 1992 mathematics report marks the first attempt of the National Center for Education Statistics to shift to standards-based reporting of National…
ERIC Educational Resources Information Center
Bernardo, Jonathan Christian Amor
2013-01-01
The purpose of this study was to compare the mathematics achievement outcomes of 3rd grade students from some Pacific Island elementary schools that use 1 of 3 different modes of instruction: Direct Instruction (DI), Success for All (SFA), and noncomprehensive school reform (non-CSR). The need for this research stems from the large proportion of…
ERIC Educational Resources Information Center
Gormley, Tyrone D.
Based on the assumption that each student learns in a unique way, this paper outlines the factors to be considered before selecting the methods of instruction for particular mathematics courses and their students. The advantages and disadvantages of the lecture/textbook and question/answer method, individualized instruction, self-pacing,…
Analysis of Self-Directed Learning upon Student of Mathematics Education Study Program
ERIC Educational Resources Information Center
Kleden, Maria Agustina
2015-01-01
Various studies have rendered self-directed learning disposition to be significant in the learning of mathematics, however several previous studies have pointed the level of self-directed learning disposition to be at a low point. This research is aimed to enhance self-directed learning through implementing a metacognitive strategy in learning…
ERIC Educational Resources Information Center
Ejiwale, James A.
2014-01-01
Collaboration plays a major role in interdisciplinary activities among Science, Technology, Engineering & Mathematics (STEM) disciplines or fields. It also affects the relationships among cluster members on the management team. Although effective collaboration does not guarantee success among STEM disciplines, its absence usually assures…
Schirmer, Todd N; Meyer, Kim A; Samarasinghe, Roshani
2005-01-01
The Adult Literacy Program at Hawaii State Hospital utilized techniques drawn from the Morningside Model of Generative Instruction. In a study involving psychiatric inpatients, participants were taught reading, mathematics, or both over a 6- to 8-month time span. Using the Woodcock-Johnson Psychoeducational Battery-Revised, it was determined that nearly half of the participants demonstrated academic gains during the study period. Further, a behavioral observation system indicated that participants were on-task 80% of the observation time and staff engaged in positive interactions nearly 20% of the observation time. This study is the first of its kind to document any efficacy for academic instruction with a psychiatric inpatient population.
Applied analysis/computational mathematics. Final report 1993
Lax, P.; Berger, M.
1993-12-01
This is the final report for the Courant Mathematics and Computing Laboratory (CMCL) research program for the years 1991--1993. Our research efforts encompass the formulation of physical problems in terms of mathematical models (both old and new), the mathematical analysis of such models, and their numerical resolution. This last step involves the development and implementation of efficient methods for large scale computation. Our analytic and numerical work often go hand in hand; new theoretical approaches often have numerical counterparts, while numerical experimentation often suggests avenues for analytical investigation.
Experimenting with Mathematical Biology
ERIC Educational Resources Information Center
Sanft, Rebecca; Walter, Anne
2016-01-01
St. Olaf College recently added a Mathematical Biology concentration to its curriculum. The core course, Mathematics of Biology, was redesigned to include a wet laboratory. The lab classes required students to collect data and implement the essential modeling techniques of formulation, implementation, validation, and analysis. The four labs…
NASA Astrophysics Data System (ADS)
Rohrlich, Fritz
2011-12-01
Classical and the quantum mechanical sciences are in essential need of mathematics. Only thus can the laws of nature be formulated quantitatively permitting quantitative predictions. Mathematics also facilitates extrapolations. But classical and quantum sciences differ in essential ways: they follow different laws of logic, Aristotelian and non-Aristotelian logics, respectively. These are explicated.
Teaching Mathematical Modelling.
ERIC Educational Resources Information Center
Jones, Mark S.
1997-01-01
Outlines a course at the University of Glamorgan in the United Kingdom in which a computer algebra system (CAS) teaches mathematical modeling. The format is based on continual assessment of group and individual work stating the problem, a feature list, and formulation of the models. No additional mathematical word processing package is necessary.…
Benavides, M; Rhoades, R E
1987-06-01
The present article examines attempts to develop and introduce formulated foods, or mixes, to low-income populations in Lima, Peru's Pueblos Jóvenes (squatter settlements). It discusses how socioeconomic conditions, dietary patterns, and economic pressures often mitigate against consumer acceptance. An alternative approach which stresses a prediagnostic study of clients' needs and careful monitoring of product development with consumer input is suggested.
A Capstone Mathematics Course for Prospective Secondary Mathematics Teachers
ERIC Educational Resources Information Center
Artzt, Alice F.; Sultan, Alan; Curcio, Frances R.; Gurl, Theresa
2012-01-01
This article describes an innovative capstone mathematics course that links college mathematics with school mathematics and pedagogy. It describes how college juniors in a secondary mathematics teacher preparation program engage in leadership experiences that enable them to learn mathematics for teaching while developing student-centered…
1997-12-31
The conference focused on computational and modeling issues in the geosciences. Of the geosciences, problems associated with phenomena occurring in the earth`s subsurface were best represented. Topics in this area included petroleum recovery, ground water contamination and remediation, seismic imaging, parameter estimation, upscaling, geostatistical heterogeneity, reservoir and aquifer characterization, optimal well placement and pumping strategies, and geochemistry. Additional sessions were devoted to the atmosphere, surface water and oceans. The central mathematical themes included computational algorithms and numerical analysis, parallel computing, mathematical analysis of partial differential equations, statistical and stochastic methods, optimization, inversion, homogenization and renormalization. The problem areas discussed at this conference are of considerable national importance, with the increasing importance of environmental issues, global change, remediation of waste sites, declining domestic energy sources and an increasing reliance on producing the most out of established oil reservoirs.
ERIC Educational Resources Information Center
Thornton, Steve; Giles, Wendy; Prescott, Debbie; Rhodes, David
2011-01-01
This paper reports on the efficacy of an accelerated teacher education program ("Growing Our Own") focused in remote Indigenous communities in the Northern Territory. The program is a joint initiative of Charles Darwin University and the Northern Territory Catholic Education Office, providing an intensive two-year program designed to…
ERIC Educational Resources Information Center
Korkmaz, Özgen
2016-01-01
The aim of this study was to investigate the effect of the Scratch and Lego Mindstorms Ev3 programming activities on academic achievement with respect to computer programming, and on the problem-solving and logical-mathematical thinking skills of students. This study was a semi-experimental, pretest-posttest study with two experimental groups and…
ERIC Educational Resources Information Center
Feng, Chuan C.
Reported is the Cooperative College-School Science Program in Computing Science Education which was conducted by the University of Colorado Department of Civil Engineering in the summer of 1967. The program consisted of two five-week terms. The course work was composed of two formal lecture courses in Computer Related Mathematics and Computer…
ERIC Educational Resources Information Center
Seo, You-Jin; Woo, Honguk
2010-01-01
Critical user interface design features of computer-assisted instruction programs in mathematics for students with learning disabilities and corresponding implementation guidelines were identified in this study. Based on the identified features and guidelines, a multimedia computer-assisted instruction program, "Math Explorer", which delivers…
ERIC Educational Resources Information Center
Stein, David; Ostrander, Peter; Lee, G. Maie
2016-01-01
The Magnet Program at Montgomery Blair High School is an application-based magnet program utilizing a curriculum focused on science, mathematics, and computer science catering to interested, talented, and eager to learn students in Montgomery County, Maryland. This article identifies and discusses some of the unique aspects of the Magnet Program…
2005-05-01
package called SCHEDULER. Glover and McMillan (1986) employ a tabu search and Thompson (1996) makes use of simulated annealing. Loucks and Jacobs (1991...consecutive shifts is a requirement for any realistic tour-scheduling formulation. Love and Hoey (1990) and Loucks and Jacobs (1991) note the need for...34Rostering for a restaurant." INFOR 41(3), 287-300 Loucks , J. and F. Jacobs. (1991). "Tour Scheduling and Task Assignment of a Heterogeneous Work Force: A
Orazbayev, B B; Orazbayeva, K N; Kurmangaziyeva, L T; Makhatova, V E
2015-01-01
Mathematical equations for the multi-criteria task of the optimisation of chemical engineering systems, for example for the optimisation of working regimes for industrial installations for benzene production, have been formulated and developed, and based on fuzzy mathematical methods, algorithms for their solution have been developed. Since the chemical engineering system, which is being researched, is characterised by multiple criteria and often functions in conditions of uncertainty, the presenting problem is formulated in the form of multi-criteria equations for fuzzy mathematical programming. New mathematical formulations for the problems being solved in a fuzzy environment and heuristic algorithms for their solution have been developed by the modification of various optimisation principles based on fuzzy mathematical methods.
Orazbayev, B. B.; Orazbayeva, K. N.; Kurmangaziyeva, L. T.; Makhatova, V.E.
2015-01-01
Mathematical equations for the multi-criteria task of the optimisation of chemical engineering systems, for example for the optimisation of working regimes for industrial installations for benzene production, have been formulated and developed, and based on fuzzy mathematical methods, algorithms for their solution have been developed. Since the chemical engineering system, which is being researched, is characterised by multiple criteria and often functions in conditions of uncertainty, the presenting problem is formulated in the form of multi-criteria equations for fuzzy mathematical programming. New mathematical formulations for the problems being solved in a fuzzy environment and heuristic algorithms for their solution have been developed by the modification of various optimisation principles based on fuzzy mathematical methods. PMID:28275318
1990-07-27
designed to provide participants an opportunity to experience "mathematics at work" in every day life through films , videos, etc., and to visit the...Trips The instructional phase of the program will be supplemented by field trips, films and a forum scheduled on Friday afternoons. The field trips and... films will allow students an opportunity to see the use of mathematics in the working world of the scientist, and the forum will present a situation
Mathematical Modeling of Diverse Phenomena
NASA Technical Reports Server (NTRS)
Howard, J. C.
1979-01-01
Tensor calculus is applied to the formulation of mathematical models of diverse phenomena. Aeronautics, fluid dynamics, and cosmology are among the areas of application. The feasibility of combining tensor methods and computer capability to formulate problems is demonstrated. The techniques described are an attempt to simplify the formulation of mathematical models by reducing the modeling process to a series of routine operations, which can be performed either manually or by computer.
Solving Common Mathematical Problems
NASA Technical Reports Server (NTRS)
Luz, Paul L.
2005-01-01
Mathematical Solutions Toolset is a collection of five software programs that rapidly solve some common mathematical problems. The programs consist of a set of Microsoft Excel worksheets. The programs provide for entry of input data and display of output data in a user-friendly, menu-driven format, and for automatic execution once the input data has been entered.
NASA Astrophysics Data System (ADS)
Pierce, Donna M.; Radencic, Sarah P.; Walker, Ryan M.; Cartwright, John H.; Schmitz, Darrel W.; Bruce, Lori M.; McNeal, Karen S.
2014-11-01
Initiating New Science Partnerships in Rural Education (INSPIRE) is a five-year partnership between Mississippi State University and three school districts in Mississippi’s Golden Triangle region. This fellowship program is designed to strengthen the communication and scientific reasoning skills of STEM graduate students by having them design and implement inquiry-based lessons which channel various aspects of their research in our partner classrooms. Fellows are encouraged to explore a diversity of approaches in classroom lesson design and to use various technologies in their lessons, including GIS, SkyMaster weather stations, Celestia, proscopes, benchtop SEM, and others. Prior to entering the classrooms for a full school year, Fellows go through an intense graduate-level training course and work directly with their partner teachers, the program coordinator, and participating faculty, to fold their lessons into the curricula of the classrooms to which they’ve been assigned. Here, we will discuss the various written, oral, and visual exercises that have been most effective for training our Fellows, including group discussions of education literature, role playing and team-building exercises, preparation of written lesson plans for dissemination to other teachers nationwide, the Presentation Boot Camp program, and production of videos made by the Fellows highlighting careers in STEM fields. We will also discuss the changes observed in Fellows’ abilities to communicate science and mathematics over the course of their fellowship year. INSPIRE is funded by the NSF Graduate K-12 (GK-12) STEM Fellowship Program, award number DGE-0947419.
ERIC Educational Resources Information Center
Sander, Elisabeth; Heiß, Andrea
2014-01-01
Three different versions of a learning program on trigonometry were compared, a program controlled, non-interactive version (CG), an interactive, conflict inducing version (EG 1), and an interactive one which was supposed to reduce the occurrence of a cognitive conflict regarding the central problem solution (EG 2). Pupils (N = 101) of a…
Students' Performances in Selected Mathematics Teacher Training Programs in North Carolina
ERIC Educational Resources Information Center
Olaniyi, Olusola Ademola; Olaniyi, Olanike Oluwakemi; Olaniyi, Oluwasemire Ayotunji; Lowe-Nicolas, Serign Omar; Dumeh, Raymond Nwinkom; Omojowo, Adetokunbo Omotade
2015-01-01
(Purpose) The purpose of this study was to examine the effect of math teacher program on students' performances in math teacher training programs in five selected colleges in North Carolina. (Methodology) This study collected 300 data (150 pre-tests and 150 post-tests) data of college students enrolled in the five selected colleges. The ANOVA and…
NASA Technical Reports Server (NTRS)
Lee, C. H.
1978-01-01
A 3-D finite element program capable of simulating the dynamic behavior in the vicinity of the impact point, together with predicting the dynamic response in the remaining part of the structural component subjected to high velocity impact is discussed. The finite algorithm is formulated in a general moving coordinate system. In the vicinity of the impact point contained by a moving failure front, the relative velocity of the coordinate system will approach the material particle velocity. The dynamic behavior inside the region is described by Eulerian formulation based on a hydroelasto-viscoplastic model. The failure front which can be regarded as the boundary of the impact zone is described by a transition layer. The layer changes the representation from the Eulerian mode to the Lagrangian mode outside the failure front by varying the relative velocity of the coordinate system to zero. The dynamic response in the remaining part of the structure described by the Lagrangian formulation is treated using advanced structural analysis. An interfacing algorithm for coupling CELFE with NASTRAN is constructed to provide computational capabilities for large structures.
Mendyk, Aleksander; Güres, Sinan; Szlęk, Jakub; Wiśniowska, Barbara; Kleinebudde, Peter
2015-01-01
The purpose of this work was to develop a mathematical model of the drug dissolution (Q) from the solid lipid extrudates based on the empirical approach. Artificial neural networks (ANNs) and genetic programming (GP) tools were used. Sensitivity analysis of ANNs provided reduction of the original input vector. GP allowed creation of the mathematical equation in two major approaches: (1) direct modeling of Q versus extrudate diameter (d) and the time variable (t) and (2) indirect modeling through Weibull equation. ANNs provided also information about minimum achievable generalization error and the way to enhance the original dataset used for adjustment of the equations' parameters. Two inputs were found important for the drug dissolution: d and t. The extrudates length (L) was found not important. Both GP modeling approaches allowed creation of relatively simple equations with their predictive performance comparable to the ANNs (root mean squared error (RMSE) from 2.19 to 2.33). The direct mode of GP modeling of Q versus d and t resulted in the most robust model. The idea of how to combine ANNs and GP in order to escape ANNs' black-box drawback without losing their superior predictive performance was demonstrated. Open Source software was used to deliver the state-of-the-art models and modeling strategies. PMID:26101544
2009-01-01
BIO2010 advocates enhancing the interdisciplinary, mathematics, and physical science components of the undergraduate biology curriculum. The Department of Chemistry and Life Science at West Point responded by developing a required physical chemistry course tailored to the interests of life science majors. To overcome student resistance to physical chemistry, students were enabled as long-term stakeholders who would shape the syllabus by selecting life science topics of interest to them. The initial 2 yr of assessment indicates that students have a positive view of the course, feel they have succeeded in achieving course outcome goals, and that the course is relevant to their professional future. Instructor assessment of student outcome goal achievement via performance on exams and labs is comparable to that of students in traditional physical chemistry courses. Perhaps more noteworthy, both student and instructor assessment indicate positive trends from year 1 to year 2, presumably due to the student stakeholder effect. PMID:19255133
NASA Astrophysics Data System (ADS)
Kahveci, Ajda
National reports such as National Science Foundation's highlight women's disproportionate distribution and differential treatment in the science, mathematics, and engineering (SM&E) fields, in both education and the workforce in the US. Women are less likely than men to choose a career that involves SM&E, and are more likely than men to earn bachelor's degrees in non-science and non-engineering fields. The need for support and encouragement is obvious for women already in college intending to pursue a major in a SM&E field. Comprehensive support networks can be and are established through programs for women entering college and willing to pursue careers in SM&E fields. The context of this research was the Program for Women in Science, Engineering and Mathematics (PWISEM) established in 2001 by a Southern teaching and research university in the US. I constructed a thorough theoretical lens by interweaving the theory of situated learning/legitimate peripheral participation and the cultural-historical activity theory. I explored the interactions and contradictions that affected the science identity formation of the PWISEM students, how they identified themselves as future scientists, and the key factors PWISEM involved in motivating and supporting women students in their intended SM&E majors. The design of the research was dominant-less dominant, the dominant approach being qualitative and the less-dominant being quantitative. The Program was successful in fostering the participation and retention of undergraduate women in SM&E. However, the women in the Program were more likely to internalize the status quo in the SM&E realms without actively challenging it (liberal feminist approach). To change the masculine culture embedded in SM&E, engaging in activism is essential. This research suggests that in fact, programs like PWISEM provide promising contexts for reforming the SM&E culture to be more appealing and inclusive of all. I suggest that there can be both explicit
Sheng, Y.P.
1983-09-01
A comprehensive model of Coastal currents and sediment dispersion has been formulated and applied to the Mississippi Sound and adjacent continental shelf waters. The study combines mathematical modeling of various hydrodynamic and sedimentary processes with laboratory and field experiments. Of primary importance is the development of an efficient and comprehensive three-dimensional, finite-difference model of coastal, estuarine, and lake currents (CELC3D). The model resolves currents driven by tide, wind, and density gradient. It has been applied to the Mississippi Sound, and results agree well with measured surface displacements and currents during two episodes. Rates of entrainment and deposition of the Mississippi Sound sediments have been studied in a laboratory flume. Effects of (1) bottom shear stress, (2) bed properties, (3) salinity of water, and (4) sediment type on the erodability of sediments have been examined. Results of the laboratory study have been incorporated into the bottom boundary conditions for a three-dimensional sediment dispersion model. Gravitational settling and particle size distribution of the Mississippi Sound sediments were also studied in laboratories. Bottom boundary layer dynamics and wave effect on sediment dispersion have been studied by means of a turbulent transport model and a wave model. Model simulations of sediment dispersion in the Mississippi Sound agree well available data from ship surveys.
NASA Astrophysics Data System (ADS)
Williams-Duncan, Omah Makebbe
State curriculum and professional standards characterize the level of proficiency pre-service teachers must attain to be prepared to teach in Texas classrooms. Teacher education programs are being scrutinized for their ability to help pre-service teachers reach a level of proficiency commensurate with these state standards. This dissertation presents an understanding of a teacher education program's quality via analysis of its current student teacher and former student perceptions. There are two participant groups in this study - current student teachers (n=11) and former students (n=78) from one program called, aggieTEACH, a traditional baccalaureate secondary mathematics and science teacher education program. Of the current student teachers and former students participating in this study, 77.5% (n = 69) were female, 21.3% (n = 19) were male and 1.1% (n = 1) did not disclose their gender; additionally, 80.9% (n = 72) identify as white or Caucasian, 9% (n = 8) identify as Hispanic, 7.8% (n = 7) identifying as African American, Asian, or other, and 2.2% (n = 2) decided not to disclose their race. This mixed methods study reveals participant's agreement and confidence levels in mentoring, confidence, TEP quality, and program characteristics of aggieTEACH. The researcher used principal components analysis, exploratory factor analysis, and content analysis to review secondary data from administered web-based surveys. The surveys have Likert-scaled, single-response items and open-ended response items. Specific survey items were identified per categories called (a) mentoring, (b) confidence, (c) TEP quality, and (d) program characteristics. The mentoring scale yielded an alpha of .903. The confidence subscale yielded an alpha .951. The quality items yielded an alpha .881 and the characteristics items yielded an alpha of .919. Significant differences occurred between current student teacher and former student participants' agreement and confidence levels about the teacher
Torres, Alexandre G; Trugo, Nádia M F; Trugo, Luiz C
2002-07-17
An accurate method for identification of fatty acids in complex mixtures analyzed by temperature-programmed capillary gas chromatography is described. The method is based on a mathematical approach using regression curves obtained by plotting the relative retention times of fatty acid methyl esters (FAMEs) analyzed in isothermal and gradient temperature conditions. The method was applied to a complex biological sample (human milk), and it was possible to identify 64 fatty acids, including branched-chain and other fatty acids for which reference standards were not readily available. The identities of the majority of the peaks were confirmed by mass spectrometry. The relative residuals and the relative differences between estimated and measured relative retention times of individual FAMEs varied from 0.03 to 3.15% and from 0.0 to 2.9%, respectively. The method is useful for identification of fatty acids in routine analysis.
NASA Astrophysics Data System (ADS)
Flores, Ramon
This study used a web-based survey collected data from 28 first-generation Latino engineers who participated in the Mathematics, Engineering, Science, Achievement (MESA) program during their high school years. From the set of 28 respondents, 5 volunteered to participate in an optional telephone interview. The purpose of this study was to describe the critical attributes and characteristics of the MESA program that lead to success at both the high school and college levels for first-generation Latino students. Success at the high school level was operationally defined as successfully graduating with a high school diploma. Success at the college level was operationally defined here as college graduation with an engineering degree. Using a mixed-methods technique, the researcher attempted to secure consensus of opinion from a sample population of 28 first-generation Latino engineers. The mixed-methods technique was chosen since it allowed the researcher to draw on the strengths of quantitative and qualitative approaches. According to the findings, the typical respondent felt that mentoring was the attribute of the MESA program that most prepared him to graduate from high school. The respondents felt that the following MESA attributes most helped them transition into an undergraduate engineering program: Academic and University Advising; Enrichment Activities; Career Advising; Field Trips; Mentoring; Scholarship Incentive Awards; and Speakers. The respondents viewed study groups as the MESA attribute that best prepared them to graduate college with an engineering degree. This study was purposefully designed as a descriptive study. Future research is required to extend this work into an evaluative study. This would allow for the generalization of the critical attributes to the general student population serviced by the MESA program.
ERIC Educational Resources Information Center
ROSEN, ELLEN F.; STOLUROW, LAWRENCE M.
MANIPULATION OF FRAMES WITHIN PROGRAMED MATHEMATICS TEXTS IN ORDER TO STUDY FOUR VARIABLES YIELDED, IN A PREVIOUSLY REPORTED PAPER, CORRELATIONAL DATA (FOR RELATIVELY SMALL TREATMENT GROUPS) THAT ARE PRESENTED HERE. FIRST, THE ORDER OF PRESENTATION OF PROGRAMED MATERIAL (BEFORE, AFTER, AND WITHOUT CONVENTIONAL INSTRUCTION) HAD NO EFFECT ON…
Awad, Susanne F.; Sgaier, Sema K.; Lau, Fiona K.; Mohamoud, Yousra A.; Tambatamba, Bushimbwa C.; Kripke, Katharine E.; Thomas, Anne G.; Bock, Naomi; Reed, Jason B.; Njeuhmeli, Emmanuel; Abu-Raddad, Laith J.
2017-01-01
Background The epidemiological and programmatic implications of inclusivity of HIV-positive males in voluntary medical male circumcision (VMMC) programs are uncertain. We modeled these implications using Zambia as an illustrative example. Methods and Findings We used the Age-Structured Mathematical (ASM) model to evaluate, over an intermediate horizon (2010–2025), the effectiveness (number of VMMCs needed to avert one HIV infection) of VMMC scale-up scenarios with varying proportions of HIV-positive males. The model was calibrated by fitting to HIV prevalence time trend data from 1990 to 2014. We assumed that inclusivity of HIV positive males may benefit VMMC programs by increasing VMMC uptake among higher risk males, or by circumcision reducing HIV male-to-female transmission risk. All analyses were generated assuming no further antiretroviral therapy (ART) scale-up. The number of VMMCs needed to avert one HIV infection was projected to increase from 12.2 VMMCs per HIV infection averted, in a program that circumcises only HIV-negative males, to 14.0, in a program that includes HIV-positive males. The proportion of HIV-positive males was based on their representation in the population (e.g. 12.6% of those circumcised in 2010 would be HIV-positive based on HIV prevalence among males of 12.6% in 2010). However, if a program that only reaches out to HIV-negative males is associated with 20% lower uptake among higher-risk males, the effectiveness would be 13.2 VMMCs per infection averted. If improved inclusivity of HIV-positive males is associated with 20% higher uptake among higher-risk males, the effectiveness would be 12.4. As the assumed VMMC efficacy against male-to-female HIV transmission was increased from 0% to 20% and 46%, the effectiveness of circumcising regardless of HIV status improved from 14.0 to 11.5 and 9.1, respectively. The reduction in the HIV incidence rate among females increased accordingly, from 24.7% to 34.8% and 50.4%, respectively
Formulating and Solving Problems in Computational Chemistry.
ERIC Educational Resources Information Center
Norris, A. C.
1980-01-01
Considered are the main elements of computational chemistry problems and how these elements can be used to formulate the problems mathematically. Techniques that are useful in devising an appropriate solution are also considered. (Author/TG)
ERIC Educational Resources Information Center
Karagiannis, P.; Markelis, I.; Paparrizos, K.; Samaras, N.; Sifaleras, A.
2006-01-01
This paper presents new web-based educational software (webNetPro) for "Linear Network Programming." It includes many algorithms for "Network Optimization" problems, such as shortest path problems, minimum spanning tree problems, maximum flow problems and other search algorithms. Therefore, webNetPro can assist the teaching process of courses such…
The Mathematics Program Improvement Review: A Comprehensive Evaluation Process for K-12 Schools
ERIC Educational Resources Information Center
Pelfrey, Ron
2005-01-01
Regardless of how well your students are scoring on standardized math tests, test scores can't tell you which aspects of your program are moving students from proficient to advanced and why some students are falling behind. To get a total picture of math learning, hundreds of schools in urban, suburban, and rural districts use the detailed,…
Academic-Centered Peer Interactions and Retention in Undergraduate Mathematics Programs
ERIC Educational Resources Information Center
Callahan, Kadian M.
2009-01-01
Peer interactions are a critical component of students' academic success and retention in undergraduate programs. Scholars argue that peer interactions influence students' cognitive development, identity development, self-confidence and self-efficacy, and social and academic integration into the university environment (Pascarella & Terenzini,…
ERIC Educational Resources Information Center
Wharton, Felicia O.
2010-01-01
This study explores the use of cogenerative dialogue (cogen) in an Adult Basic Education (ABE) program located in New York City, and the ways in which students and teachers collaborated to cogenerate resources that afforded a positive and equitable learning environment built on solidarity and new perspectives on teaching and learning of…
One-to-One Laptop Programs: Is Transformation Occurring in Mathematics Teaching?
ERIC Educational Resources Information Center
Blackley, Susan; Walker, Rebecca
2015-01-01
There is a body of research around the uptake of digital technologies in secondary schools, and a growing body of research specifically designed to investigate the use of one-to-one laptop programs. However this research focused on the initial uptake of the digital technology or initial implementation of a one-to-one (1:1) laptop policy. Given the…
ViPLab: A Virtual Programming Laboratory for Mathematics and Engineering
ERIC Educational Resources Information Center
Richter, Thomas; Rudlof, Stephan; Adjibadji, B.; Bernlohr, Heiko; Gruninger, Christoph; Munz, Claus-Dieter; Stock, Andreas; Rohde, Christian; Helmig, Rainer
2012-01-01
Purpose: In the process of the implementation of the eBologna program and the recent change of the university system, curricula at German universities have been redesigned; courses have been condensed and learning content has been re-structured into modules, each of which requires an evaluation. Simultaneously, skills required for working in…
ERIC Educational Resources Information Center
Kraus, Lewis E.
This paper describes a three-year project that has created on-line lessons and activities on math and aeronautics aimed at improving the education and aeronautics-related career options for children with physical disabilities. It has developed a specialized program, drawing from existing curricula, available materials and assistive technology,…
ERIC Educational Resources Information Center
Buchanan, Aaron D.; Milazzo, Patricia A.
Proficiency Verification Systems (PVS) is a new concept in providing management information about local achievement in basic skills. The program includes a network of assessment and reporting components which can be combined in varied ways to generate proficiency information about individual pupils and groups, for teachers, principals, and school…
On Synchronous Distance Teaching in a Mathematics MS (Master of Science) Program
ERIC Educational Resources Information Center
Li, Kuiyuan; Amin, Raid; Uvah, Josaphat
2011-01-01
A fully online graduate program that was developed at the UWF (University of West Florida) has been successfully implemented using synchronous instruction since fall 2009. The hybrid nature of the developed model has proven to be of benefit to both face-to-face and distance students. Aside from the robustness of students' discussions and…
A Value-Added Study of a Federal Grant Program in Mathematics for Military Dependent Students
ERIC Educational Resources Information Center
Marquand, Jay C.
2013-01-01
Closing the achievement gap in public education means all students are expected to be learning at grade level. In response to federal mandates requiring schools to attain specific student achievement benchmarks, many schools are placing greater resources into support programs designed to increase student achievement. Military dependent students…
Remedial Mathematics Skills Program for Optional Assignment Pupils; School Year 1974-75.
ERIC Educational Resources Information Center
Kastner, Sheldon B.
This report is an evaluation of a New York City school district educational project funded under Title I of the Elementary and Secondary Act of 1965. The major objective of the program was to increase student competency in math computational skills. Approximately 3,000 high school students in grades 9 through 11 from 32 high schools were selected…
ERIC Educational Resources Information Center
Kroeger, Lori A.; Brown, Rhonda Douglas; O'Brien, Beth A.
2012-01-01
Research Findings: This article describes major theories and research on math cognition across the fields of neuroscience, cognitive psychology, and education and connects these literatures to intervention practices. Commercially available math intervention programs were identified and evaluated using the following questions: (a) Did neuroscience…
Mathematics. Essay on Teaching Able Students.
ERIC Educational Resources Information Center
Brown, Richard G.
A major goal of mathematics teaching is the involvement of students in the personal process of discovering mathematical ideas and formulating problems. The process of an inductive leap followed by a deductive argument is used in mathematics courses at Phillips Exeter Academy (New Hampshire). Mathematical problems are presented in which the givens…
Change in Mathematics Education since the Late 1950's--Ideas and Realisation; Sierra Leone.
ERIC Educational Resources Information Center
Williams, A.
1978-01-01
The introduction of a modern mathematics program is traced through several sources: the Entebbe Mathematics Program, the African Mathematics Program, the Joint School Project, and the West African Regional Mathematics Program. (MP)
NASA Technical Reports Server (NTRS)
Brauer, G. L.; Habeger, A. R.; Stevenson, R.
1974-01-01
The basic equations and models used in a computer program (6D POST) to optimize simulated trajectories with six degrees of freedom were documented. The 6D POST program was conceived as a direct extension of the program POST, which dealt with point masses, and considers the general motion of a rigid body with six degrees of freedom. It may be used to solve a wide variety of atmospheric flight mechanics and orbital transfer problems for powered or unpowered vehicles operating near a rotating oblate planet. Its principal features are: an easy to use NAMELIST type input procedure, an integrated set of Flight Control System (FCS) modules, and a general-purpose discrete parameter targeting and optimization capability. It was written in FORTRAN 4 for the CDC 6000 series computers.
ERIC Educational Resources Information Center
Wang, Aubrey H.; Firmender, Janine M.; Power, Joshua R.; Byrnes, James P.
2016-01-01
Research Findings: The early childhood years are critical in developing early mathematics skills, but the opportunities one has to learn mathematics tend to be limited, preventing the development of significant mathematics learning. By conducting a meta-analysis of 29 experimental and quasi-experimental studies that have been published since 2000,…
ERIC Educational Resources Information Center
Culligan, Karla
2010-01-01
This phenomenological study explores students' decision-making about whether to remain in an optional French immersion (FI) mathematics course in Grade 11, as well as students' subsequent experiences in their mathematics course of choice. Interview data were collected from 10 students who remained in FI mathematics and from six students who did…
ERIC Educational Resources Information Center
Vega, Mery Luz; Hederich M., Christian
2015-01-01
This study is expected to determine the impact of a program based on the cooperative learning methodology. This, in comparison to a traditional learning situation in both mathematics and language achievement. The study was carried out on a group of fourth grade students of primary school. In addition, it tried to find the differential impact…
ERIC Educational Resources Information Center
New York City Board of Education, Brooklyn. Office of Educational Assessment.
During 1985-86 the Division of Special Education of the New York Board of Education operated a Chapter 1/P.S.E.N. Remedial Reading and Mathematics Program which served approximately 11,500 English-speaking and limited English Proficient (LEP) students. Of these, 9,627 received reading instruction alone, and 119 received remedial instruction in…
ERIC Educational Resources Information Center
Jarvis, John J.; Papaconstadopoulos, Chris
Developed and demonstrated here is the design of interface systems for cost-effective communication of the user with the computerized operations research procedures. The concentration is in the area of interfacing methods for implementing the optimization techniques of mathematical programing. Emphasis is given to flexibility of accessing the…
ERIC Educational Resources Information Center
Kestel, Eugénie
2014-01-01
This paper describes part of a mixed-methods study comparing the effectiveness of an individual, conceptual instruction based, tuition program delivered face-to-face and by personal videoconferencing (PVC) for 30 upper primary and middle school students with mathematical learning difficulties (MLDs). The experimental intervention targeted number…
ERIC Educational Resources Information Center
Watt, Kamala
2011-01-01
The researcher examined the effects of two alternative instructional methods, Programmed Learning Sequenced (PLS) and Interactive Whiteboard (IWB), on the mathematics achievement and attitude of eighth graders. The relationship between specific Dunn & Dunn learning-style elements and the posttest scores after instruction with the PLS and IWB…
ERIC Educational Resources Information Center
White, Larry; Hixson, Nate
2014-01-01
This report summarizes an evaluation study investigating the effects of participation in the 21st Century Community Learning Centers (CCLC) program on student achievement in mathematics and reading/language arts, for the cohort of students who participated during the 2012-2013 school year. The report is a supplement to the Office of Assessment,…
ERIC Educational Resources Information Center
White, Larry; Whisman, Andy
2014-01-01
This report summarizes an evaluation study investigating the effects of participation in the 21st Century Community Learning Centers (CCLC) program on student achievement in mathematics and reading/language arts, for the cohort of students who participated during the 2013-2014 school year. The report is a supplement to the Office of Assessment,…
ERIC Educational Resources Information Center
Luck, Lee Tan; Peng, Chew Fong
2010-01-01
This research is attempting to examine the effectiveness in the application of ICT (information and communication technology) and standardize courseware in ETeMS (English for Teaching Mathematics and Science) or PPSMI (Pengajaran and Pembelajaran Sains and Matematic dalam Bahasa Inggeris) in English program in the Malaysian secondary school…
ERIC Educational Resources Information Center
Jiménez, Verónica A.; Acuña, Fabiola C.; Quiero, Felipe J.; López, Margarita; Zahn, Carmen I.
2015-01-01
This work describes the preliminary results of a tutoring program that provides personalized academic assistance to first-year undergraduates enrolled in introductory chemistry, physics and mathematics courses at Universidad Andres Bello (UNAB), in Concepción, Chile. Intervened courses have historically large enrolments, diverse student population…
Technology Transfer Automated Retrieval System (TEKTRAN)
Pest control managers can benefit from using mathematical approaches, particularly models, when implementing area-wide pest control programs that include sterile insect technique (SIT), especially when these are used to calculate required rates of sterile releases to result in suppression or eradica...
NASA Astrophysics Data System (ADS)
Reinert, K. A.
The use of linear decision rules (LDR) and chance constrained programming (CCP) to optimize the performance of wind energy conversion clusters coupled to storage systems is described. Storage is modelled by LDR and output by CCP. The linear allocation rule and linear release rule prescribe the size and optimize a storage facility with a bypass. Chance constraints are introduced to explicitly treat reliability in terms of an appropriate value from an inverse cumulative distribution function. Details of deterministic programming structure and a sample problem involving a 500 kW and a 1.5 MW WECS are provided, considering an installed cost of $1/kW. Four demand patterns and three levels of reliability are analyzed for optimizing the generator choice and the storage configuration for base load and peak operating conditions. Deficiencies in ability to predict reliability and to account for serial correlations are noted in the model, which is concluded useful for narrowing WECS design options.
2013-09-01
of curriculum into diverse classroom settings. In July 2012, thirteen school districts participated in a reallocation program of STEM materials that...Center lessons to enhance classroom connections to service learning that benefits their schools and communities. STEM Fellows helped obtain grants to...Government Industry Nov 2011 6 hours Workshop Elementary STEM Workshop Dayton, OH Elementary Educators Nov 2011 6 hours Workshop Middle School STEM
Bagci, Elife Zerrin; Sen, S Murat; Camurdan, Mehmet C
2013-08-01
Apoptosis is an important area of research because of its role in keeping a mature multicellular organism's number of cells constant, hence, ensuring that the organism does not have cell accumulation that may transform into cancer with additional hallmarks. Firstly, we have carried out sensitivity analysis on an existing mathematical mitochondria-dependent apoptosis model to find out which parameters have a role in causing monostable cell survival, which may, in turn, lead to malfunction in apoptosis. We have then generated three base parameter sets that represent healthy cells. These parameter sets were built by changing the sensitive parameters while preserving the bistability. For each base set, we varied the proapoptotic and antiapoptotic production rates, to yield new sets for the cells that have malfunctioning apoptosis. In a hypothetical cell model, we simulated caspase-3 activation by numerically integrating the governing ordinary differential equations of a mitochondria-dependent apoptosis model. These simulations were carried out for four potential treatments, namely: (1) proteasome inhibitor treatment, (2) Bcl-2 inhibitor treatment, (3) IAP inhibitor treatment, (4) Bid-like synthetic peptides treatment. The results suggest that the proteasome inhibitor treatment is the most effective treatment, though it may have severe side effects. For this treatment, the amount of proteasome inhibitor needed for caspase-3 activation may be different for hypothetical cells with a different pro- or anti-apoptotic protein defect. It is also found that caspase-3 can be activated by Bcl-2 inhibitor treatment only in those hypothetical malfunctioning cells with Bax deficiency but not in others. These results are in line with the view that molecular heterogeneity in individuals may be an important factor in determining the individuals' positive or negative responses to treatments.
Mathematics Ab Ovo: Hans Driesch and Entwicklungsmechanik.
Priven, Silvia Waisse; Alfonso-Goldfarb, Ana M
2009-01-01
One of the factors leading to the creation of embryology as a modern discipline at the end of the 19th century was Wilhelm Roux's formulation of the program of Entwicklungsmechanik (developmental mechanics). A look into the work of Hans Driesch, an equal contributor to developmental mechanics, may shed further light on this process. For Roux, developmental mechanics was an anatomical science, but for Driesch it was associated with a mathematical and physical approach to the natural world. Likewise, Roux used the concept of mechanics as an analogy, but Driesch used it literally. Driesch's generation had been trained in a pedagogic context that emphasized mathematics and physics, which may explain why he went a step further than Roux to state that a true "mechanics" of development required the reduction of morphogenetic problems to the known laws of physics. It is argued here that this difference in background is behind the enthusiastic adoption and further development of Roux's program by Driesch's generation, a generation that conceived Entwicklungsmechanik to be the reduction of embryological processes to "the laws of matter in motion." This same mathematical and physical mindset would underscore Driesch's later construction of entelechy as a regulating factor in embryogenesis, through mathematical analysis grounded on the notion of mathematical functions.
ERIC Educational Resources Information Center
Norland, Charles R.
The purpose of the study was to compare the effectiveness of instruction using modern mathematics materials to instruction using traditional materials. Arithmetic achievement comparisons of sixth and eighth grade groups for the 1968-69 school year were made with their counterparts for the 1964-65 school year. Five schools were included. Subtests…
NASA Technical Reports Server (NTRS)
Hilbert, Kent; Anderson, Daniel; Lewis, David
2007-01-01
Data collected via the International GPM Program could be used to provide a solution for the NOAA Estuarine Reserves Division s System-wide Monitoring Program by augmenting in situ rainfall measurements with data acquired via future satellite-acquired precipitation data. This Candidate Solution is in alignment with the Coastal Management National Application and will benefit society by assisting in estuary preservation.
Chen, B.C.J.; Hull, J.R.; Seitz, M.G.; Sha, W.T.; Shah, V.L.; Soo, S.L.
1984-07-01
Computer model simulation is required to evaluate the performance of proposed or future high-level radioactive waste geological repositories. However, the accuracy of a model in predicting the real situation depends on how well the values of the transport properties are prescribed as input parameters. Knowledge of transport parameters is therefore essential. We have modeled ANL's Experiment Analog Program which was designed to simulate long-term radwaste migration process by groundwater flowing through a high-level radioactive waste repository. Using this model and experimental measurements, we have evaluated neptunium (actinide) deposition velocity and analyzed the complex phenomena of simultaneous deposition, erosion, and reentrainment of bentonite when groundwater is flowing through a narrow crack in a basalt rock. The present modeling demonstrates that we can obtain the values of transport parameters, as added information without any additional cost, from the available measurements of laboratory analog experiments. 8 figures, 3 tables.
NASA Technical Reports Server (NTRS)
Miele, A.; Wang, T.; Basapur, V. K.
1986-01-01
One of the most effective first-order algorithms for solving trajectory optimization problems is the sequential gradient-restoration algorithm (SGRA). Originally developed in the primal formulation, this algorithm is extended to incorporate a dual formulation. Both the primal formulation and the dual formulation involve a sequence of two-phase cycles, each cycle including a gradient phase and a restoration phase. In turn, each iteration of the gradient phase and the restoration phase requires the solution of an auxiliary minimization problem (AMP). In the primal formulation, the AMP is solved with respect to the variations of the state, the control, and the parameter. In the dual formulation, the AMP is solved with respect to the Lagrange multipliers. A characteristic of the dual formulation is that the AMPs associated with the gradient phase and the restoration phase of SGRA can be reduced to mathematical programming problems involving a finite number of parameters as unknowns. A comparison of the primal formulation and the dual formulation is presented. The comparison is done in terms of several trajectory optimization problems having current aerospace interest.
Bennett, Laura; Kittas, Aristotelis; Liu, Songsong; Papageorgiou, Lazaros G.; Tsoka, Sophia
2014-01-01
Community structure detection has proven to be important in revealing the underlying properties of complex networks. The standard problem, where a partition of disjoint communities is sought, has been continually adapted to offer more realistic models of interactions in these systems. Here, a two-step procedure is outlined for exploring the concept of overlapping communities. First, a hard partition is detected by employing existing methodologies. We then propose a novel mixed integer non linear programming (MINLP) model, known as OverMod, which transforms disjoint communities to overlapping. The procedure is evaluated through its application to protein-protein interaction (PPI) networks of the rat, E. coli, yeast and human organisms. Connector nodes of hard partitions exhibit topological and functional properties indicative of their suitability as candidates for multiple module membership. OverMod identifies two types of connector nodes, inter and intra-connector, each with their own particular characteristics pertaining to their topological and functional role in the organisation of the network. Inter-connector proteins are shown to be highly conserved proteins participating in pathways that control essential cellular processes, such as proliferation, differentiation and apoptosis and their differences with intra-connectors is highlighted. Many of these proteins are shown to possess multiple roles of distinct nature through their participation in different network modules, setting them apart from proteins that are simply ‘hubs’, i.e. proteins with many interaction partners but with a more specific biochemical role. PMID:25412367
Bennett, Laura; Kittas, Aristotelis; Liu, Songsong; Papageorgiou, Lazaros G; Tsoka, Sophia
2014-01-01
Community structure detection has proven to be important in revealing the underlying properties of complex networks. The standard problem, where a partition of disjoint communities is sought, has been continually adapted to offer more realistic models of interactions in these systems. Here, a two-step procedure is outlined for exploring the concept of overlapping communities. First, a hard partition is detected by employing existing methodologies. We then propose a novel mixed integer non linear programming (MINLP) model, known as OverMod, which transforms disjoint communities to overlapping. The procedure is evaluated through its application to protein-protein interaction (PPI) networks of the rat, E. coli, yeast and human organisms. Connector nodes of hard partitions exhibit topological and functional properties indicative of their suitability as candidates for multiple module membership. OverMod identifies two types of connector nodes, inter and intra-connector, each with their own particular characteristics pertaining to their topological and functional role in the organisation of the network. Inter-connector proteins are shown to be highly conserved proteins participating in pathways that control essential cellular processes, such as proliferation, differentiation and apoptosis and their differences with intra-connectors is highlighted. Many of these proteins are shown to possess multiple roles of distinct nature through their participation in different network modules, setting them apart from proteins that are simply 'hubs', i.e. proteins with many interaction partners but with a more specific biochemical role.
NASA Astrophysics Data System (ADS)
Rehmer, Donald E.
Analysis of results from a mathematical programming model were examined to 1) determine the least cost options for infrastructure development of geologic storage of CO2 in the Illinois Basin, and 2) perform an analysis of a number of CO2 emission tax and oil price scenarios in order to implement development of the least-cost pipeline networks for distribution of CO2. The model, using mixed integer programming, tested the hypothesis of whether viable EOR sequestration sites can serve as nodal points or hubs to expand the CO2 delivery infrastructure to more distal locations from the emissions sources. This is in contrast to previous model results based on a point-to- point model having direct pipeline segments from each CO2 capture site to each storage sink. There is literature on the spoke and hub problem that relates to airline scheduling as well as maritime shipping. A large-scale ship assignment problem that utilized integer linear programming was run on Excel Solver and described by Mourao et al., (2001). Other literature indicates that aircraft assignment in spoke and hub routes can also be achieved using integer linear programming (Daskin and Panayotopoulos, 1989; Hane et al., 1995). The distribution concept is basically the reverse of the "tree and branch" type (Rothfarb et al., 1970) gathering systems for oil and natural gas that industry has been developing for decades. Model results indicate that the inclusion of hubs as variables in the model yields lower transportation costs for geologic carbon dioxide storage over previous models of point-to-point infrastructure geometries. Tabular results and GIS maps of the selected scenarios illustrate that EOR sites can serve as nodal points or hubs for distribution of CO2 to distal oil field locations as well as deeper saline reservoirs. Revenue amounts and capture percentages both show an improvement over solutions when the hubs are not allowed to come into the solution. Other results indicate that geologic
NASA Astrophysics Data System (ADS)
Murari, A.; Peluso, E.; Gelfusa, M.; Lupelli, I.; Lungaroni, M.; Gaudio, P.
2015-01-01
Many measurements are required to control thermonuclear plasmas and to fully exploit them scientifically. In the last years JET has shown the potential to generate about 50 GB of data per shot. These amounts of data require more sophisticated data analysis methodologies to perform correct inference and various techniques have been recently developed in this respect. The present paper covers a new methodology to extract mathematical models directly from the data without any a priori assumption about their expression. The approach, based on symbolic regression via genetic programming, is exemplified using the data of the International Tokamak Physics Activity database for the energy confinement time. The best obtained scaling laws are not in power law form and suggest a revisiting of the extrapolation to ITER. Indeed the best non-power law scalings predict confinement times in ITER approximately between 2 and 3 s. On the other hand, more comprehensive and better databases are required to fully profit from the power of these new methods and to discriminate between the hundreds of thousands of models that they can generate.
Cleary, Susan; Mooney, Gavin; McIntyre, Di
2010-10-01
The HIV-epidemic is one of the greatest public health crises to face South Africa. A health care response to the treatment needs of HIV-positive people is a prime example of the desirability of an economic, rational approach to resource allocation in the face of scarcity. Despite this, almost no input based on economic analysis is currently used in national strategic planning. While cost-utility analysis is theoretically able to establish technical efficiency, in practice this is accomplished by comparing an intervention's ICER to a threshold level representing society's maximum willingness to pay to avoid death and improve health-related quality of life. Such an approach has been criticised for a number of reasons, including that it is inconsistent with a fixed budget for health care and that equity is not taken into account. It is also impractical if no national policy on the threshold exists. As an alternative, this paper proposes a mathematical programming approach that is capable of highlighting technical efficiency, equity, the equity/efficiency trade-off and the affordability of alternative HIV-treatment interventions. Government could use this information to plan an HIV-treatment strategy that best meets equity and efficiency objectives within budget constraints.
Azadeh, A; Motevali Haghighi, S; Gaeini, Z; Shabanpour, N
2016-07-01
This study presents an integrated approach for analyzing the impact of macro-ergonomics factors in healthcare supply chain (HCSC) by data envelopment analysis (DEA). The case of this study is the supply chain (SC) of a real hospital. Thus, healthcare standards and macro-ergonomics factors are considered to be modeled by the mathematical programming approach. Over 28 subsidiary SC divisions with parallel missions and objectives are evaluated by analyzing inputs and outputs through DEA. Each division in this HCSC is considered as decision making unit (DMU). This approach can analyze the impact of macro-ergonomics factors on supply chain management (SCM) in healthcare sector. Also, this method ranks the relevant performance efficiencies of each HCSC. In this study by using proposed method, the most effective macro-ergonomics factor on HCSC is identified as "teamwork" issue. Also, this study would help managers to identify the areas of weaknesses in their SCM system and set improvement target plan for the related SCM system in healthcare industry. To the best of our knowledge, this is the first study for macro-ergonomics optimization of HCSC.
NASA Astrophysics Data System (ADS)
Schulz, Phyllis
Women remain underrepresented in science, technology, engineering, and mathematics (STEM) at all levels of higher education, which has become a concern in the competitive global marketplace. Using both quantitative and qualitative analysis, this dissertation sought to learn more about how the campus climate and self-concept influence the degree aspirations of female undergraduate students majoring in STEM programs. Using the Beginning Post-Secondary dataset, regression analyses showed that a student's initial degree aspirations, SAT scores, and interactions with faculty were all positively related to their degree aspirations three years later. Interviews with seven current STEM undergraduates confirmed the importance of interaction with faculty and suggested undergraduate research and classroom experiences also play a role in the degree aspirations of STEM students. Three of the seven students interviewed began their undergraduate educations as non-STEM majors, suggesting that the traditional STEM pipeline may no longer be the norm. These findings suggest that both future research and current practitioners should focus on undergraduate STEM classroom and research experiences. Additionally, the characteristics of students who switch into STEM majors should be explored so that we may continue to expand the number of students pursuing STEM degrees.
NASA Astrophysics Data System (ADS)
Schleyer, Claudia Janette
The purpose of this study was two-fold. The first purpose was to identify cognitive skills and cognitive concepts perceived to be common among the high school physical education environment, and the science, math, and English classrooms. The second purpose was to identify various attitudes regarding physical education that influence the integration of the physical education curriculum with other academic subject areas, specifically, math, English, and science. Data for the study were accumulated over a six-month period using a survey instrument. Respondents included sixty-three teachers from fourteen different schools. The following findings were drawn from the analysis of data: (1) There is a significant difference (p $.05) among disciplines when teachers rank their attitudes regarding the value of physical education in the school; (4) there is no significant difference (p >.05) among disciplines when teachers rank their attitudes regarding the role of cognitive learning in physical education programs; and (5) there is no significant difference (p >$.05) among disciplines when teachers rank their attitudes regarding the integration of other academic disciplines in the school within the physical education curriculum. The following conclusions were made from the research findings: (1) English, math, and science share common cognitive skills; (2) physical education shares common cognitive concepts with math and science which provides a basis for linking these subjects together in the curriculum; (3) teachers in each of the four disciplines have a positive attitude toward the value of physical education; (4) teachers in each discipline possess a positive attitude toward the role of cognitive learning in physical education; and (5) teachers in each discipline have a positive attitude toward integration and a willingness to integrate physical education with the other subject areas.
NASA Technical Reports Server (NTRS)
Huang, L. C. P.; Cook, R. A.
1973-01-01
Models utilizing various sub-sets of the six degrees of freedom are used in trajectory simulation. A 3-D model with only linear degrees of freedom is especially attractive, since the coefficients for the angular degrees of freedom are the most difficult to determine and the angular equations are the most time consuming for the computer to evaluate. A computer program is developed that uses three separate subsections to predict trajectories. A launch rail subsection is used until the rocket has left its launcher. The program then switches to a special 3-D section which computes motions in two linear and one angular degrees of freedom. When the rocket trims out, the program switches to the standard, three linear degrees of freedom model.
ERIC Educational Resources Information Center
Guerrero, Shannon; Dugdale, Sharon
2009-01-01
The past few decades have seen middle school teachers in the United States hit especially hard by contradictory messages about the use and importance of technology in support of their standards-based mathematics teaching. This paper considers this dichotomy with respect to the California Mathematics Education Technology Site (CMETS), a…
Tapia, Richard
1998-06-01
In June, The Center for Research on Parallel Computation (CRPC), an NSF-funded Science and Technology Center, hosted the 4th Annual Conference for African-American Reserachers in the Mathematical Sciences (CAARMS4) at Rice University. The main goal of this conference was to highlight current work by African-American researchers and graduate students in mathematics. This conference strengthened the mathematical sciences by encouraging the increased participation of African-American and underrepresented groups into the field, facilitating working relationships between them and helping to cultivate their careers. In addition to the talks there was a graduate student poster session and tutorials on topics in mathematics and computer science. These talks, presentations, and discussions brought a broader perspective to the critical issues involving minority participation in mathematics.
Promoting Preservice Teachers' Mathematics Identity Exploration
ERIC Educational Resources Information Center
Heffernan, Kayla
2016-01-01
Despite the effort of teacher education programs, early childhood, and elementary preservice teachers often fear mathematics, have high mathematics anxiety, hold negative self-perceptions in relation to mathematics, find mathematics irrelevant, and have low mathematics achievement. The aim of this study was to implement and investigate the…
Mathematics Education for Students with Learning Disabilities: Theory to Practice.
ERIC Educational Resources Information Center
Rivera, Diane Pedrotty, Ed.
This book addresses teaching mathematics to students with learning disabilities, including characteristics and assessment of mathematics learning disabilities, mathematics programming and interventions, and teacher preparation. Chapters include: (1) "Mathematics Education and Students with Learning Disabilities: Instruction" (Diane Pedrotty…
ERIC Educational Resources Information Center
Luther, Kenneth H.
2012-01-01
Mathematical modeling of groundwater flow is a topic at the intersection of mathematics and geohydrology and is rarely encountered in undergraduate mathematics. However, this subject is full of interesting and meaningful examples of truly "applied" mathematics accessible to undergraduates, from the pre-calculus to advanced mathematics levels. This…
ERIC Educational Resources Information Center
Fluellen, Jerry
This paper describes a mathematics-centered thematic unit for 5th graders which organizes all the topics in the Houghton Mifflin Mathematics Program by combining critical thinking and whole language frameworks to help students retain, understand, and make active use of knowledge within and across domains. The unit connects inquiry, goals, critical…
Addressing the Mathematics-Specific Needs of Beginning Mathematics Teachers
ERIC Educational Resources Information Center
Britton, Edward
2012-01-01
Beginning mathematics teachers at the secondary level (middle and high school grades) have mathematics-specific needs that induction programs should address more substantially. However, a number of issues in how programs can accomplish this are more complex than often framed in discussions occurring in the induction programs and the field of…
Thinking Through Three Worlds of Mathematics
ERIC Educational Resources Information Center
Tall, David
2004-01-01
The major idea in this paper is the formulation of a theory of three distinct but interrelated worlds of mathematical thinking each with its own sequence of development of sophistication, and its own sequence of developing warrants for truth, that in total spans the range of growth from the mathematics of new-born babies to the mathematics of…
Applied Mathematics in the Undergraduate Curriculum.
ERIC Educational Resources Information Center
Committee on the Undergraduate Program in Mathematics, Berkeley, CA.
After considering the growth in the use of mathematics in the past 25 years, this report makes four major recommendations regarding the undergraduate curriculum: (1) The mathematics department should offer a course or two in applied mathematics which treat some realistic situations completely, including the steps of problem formulation, model…
Valla, Jeffrey M; Williams, Wendy M
2012-01-01
The under-representation of women and ethnic minorities in Science, Technology, Engineering, and Mathematics (STEM) education and professions has resulted in a loss of human capital for the US scientific workforce and spurred the development of myriad STEM educational intervention programs. Increased allocation of resources to such programs begs for a critical, prescriptive, evidence-based review that will enable researchers to develop optimal interventions and administrators to maximize investments. We begin by providing a theoretical backdrop for K-12 STEM programs by reviewing current data on under-representation and developmental research describing individual-level social factors undergirding these data. Next, we review prototypical designs of these programs, highlighting specific programs in the literature as examples of program structures and components currently in use. We then evaluate these interventions in terms of overall effectiveness, as a function of how well they address age-, ethnicity-, or gender-specific factors, suggesting improvements in program design based on these critiques. Finally, program evaluation methods are briefly reviewed and discussed in terms of how their empirical soundness can either enable or limit our ability to delineate effective program components. "Now more than ever, the nation's changing demographics demand that we include all of our citizens in science and engineering education and careers. For the U.S. to benefit from the diverse talents of all its citizens, we must grow the pipeline of qualified, underrepresented minority engineers and scientists to fill positions in industry and academia."-Irving P. McPhail..
New Mathematical Dimensions: Adam's Story
ERIC Educational Resources Information Center
Manizade, Agida
2009-01-01
Adam, an 11th grader, was identified as gifted and accepted into a two week summer enrichment program. He signed up for "Geometry with Flash Programming." He had no prior programming experience but had a strong and healthy self-image as mathematics student. Although Adam had a positive attitude toward mathematics and saw himself as a successful…
Mathematics: Contributions by Women.
ERIC Educational Resources Information Center
Dewar, Jacqueline M.
1991-01-01
Describes a core course in a women's-studies program at Loyola Marymount University. Provides information, resources, and an annotated bibliography useful for making students more aware of women's contributions to mathematics. Contains 38 references. (ASK)
The Changing Curriculum: Mathematics.
ERIC Educational Resources Information Center
Davis, Robert B.
In this 1967 booklet, influences of technology, the non-achiever and the culturally disadvantaged, and the revolt against formalism are discussed in relation to the modern mathematics curriculum. Some projects and school programs described include PLATO, the Nuffield Project, the Nova School Program, Advanced Placement Program, and teacher…
Middle School Mathematics Students' Perspectives on the Study of Mathematics
ERIC Educational Resources Information Center
Vaughn, Christy H.
2012-01-01
This qualitative study addressed the perceptions toward the study of mathematics by middle school students who had formerly been in a remedial mathematics program. The purpose of the study was to explore the past experiences of nine students in order to determine what is needed for them to feel successful in mathematics. The conceptual framework…
Maton, Kenneth I.; Pollard, Shauna A.; McDougall Weise, Tatiana V.; Hrabowski, Freeman A.
2012-01-01
The Meyerhoff Scholars Program at the University of Maryland, Baltimore County is widely viewed as a national model of a program that enhances the number of underrepresented minority students who pursue science, technology, engineering and mathematics (STEM) PhDs. The current article provides an overview of the program and the institution-wide change process that led to its development, as well as a summary of key outcome and process evaluation research findings. African American Meyerhoff students are five times more likely than comparison students to pursue a STEM PhD. Program components viewed by the students as most beneficial include financial scholarship, being a part of the Meyerhoff Program community, the Summer Bridge program, study groups, and summer research. Qualitative findings from interviews and focus groups demonstrate the importance of the Meyerhoff Program in creating a sense of belonging and a shared identity, encouraging professional development and emphasizing the importance of academic skills. Among Meyerhoff students, several pre-college and college factors have emerged as predictors of successful entrance into a PhD program in the STEM fields, including pre-college research excitement, pre-college intrinsic math/science motivation, number of summer research experiences during college, and college GPA. Limitations of the research to date are noted, and directions for future research are proposed. PMID:22976367
NASA Technical Reports Server (NTRS)
Sharma, Naveen
1992-01-01
In this paper we briefly describe a combined symbolic and numeric approach for solving mathematical models on parallel computers. An experimental software system, PIER, is being developed in Common Lisp to synthesize computationally intensive and domain formulation dependent phases of finite element analysis (FEA) solution methods. Quantities for domain formulation like shape functions, element stiffness matrices, etc., are automatically derived using symbolic mathematical computations. The problem specific information and derived formulae are then used to generate (parallel) numerical code for FEA solution steps. A constructive approach to specify a numerical program design is taken. The code generator compiles application oriented input specifications into (parallel) FORTRAN77 routines with the help of built-in knowledge of the particular problem, numerical solution methods and the target computer.
ERIC Educational Resources Information Center
Reys, Robert; Reys, Rustin
2011-01-01
In their dual roles as mathematics teachers and tennis coaches, the authors have worked with tennis players who have never thought about how a knowledge of mathematics might help them become "better" tennis players. They have also worked with many mathematics students who have never considered how much mathematics is associated with tennis. This…
ERIC Educational Resources Information Center
Huang, Xudong; Craig, Scotty D.; Xie, Jun; Graesser, Arthur C.; Okwumabua, Theresa; Cheney, Kyle R.; Hu, Xiangen
2013-01-01
The gap among ethnicities and gender in mathematics achievement is a well-known problem. While the gap has been shrinking over the past three decades, it has not completely diminished (Jencks & Phillips, 1998; McGraw, Lubienski, & Strutchens, 2006). The ALEKS, Assessment and LEarning in Knowledge Spaces, tutoring system is one promising…
ERIC Educational Resources Information Center
Chappell, Shanan; Arnold, Pamela; Nunnery, John; Grant, Melva
2015-01-01
The purpose of this mixed methods study was to determine the impact of synchronous online tutoring services on struggling middle school students' mathematics achievement. The online tutoring was provided as a response to intervention (RTI) Tier 3 support (intensive, individualized intervention) in schools implementing a school-wide mathematics…
ERIC Educational Resources Information Center
Yow, Jan A.; Lotter, Christine
2016-01-01
This study investigates the role of an inquiry professional development institute in empowering middle school mathematics and science teachers to develop as teacher leaders. Teachers and coaches jointly attended content sessions and participated in practice teaching sessions with students. The coaches led reflection sessions following the practice…
ERIC Educational Resources Information Center
Wamala, Robert; Maswere, Dyson W.; Mwanga, Yeko
2013-01-01
This study investigates the role of prior grounding attained in mathematics in predicting the academic achievement of enrollees in Bachelor of Science in Actuarial Science (BSAS). The investigation is based on administrative records of 240 BSAS enrollees at Makerere University, School of Statistics and Planning in the 2007-2009 cohorts. Students'…
ERIC Educational Resources Information Center
Schulz, Phyllis
2014-01-01
Women remain underrepresented in science, technology, engineering, and mathematics (STEM) at all levels of higher education, which has become a concern in the competitive global marketplace. Using both quantitative and qualitative analysis, this dissertation sought to learn more about how the campus climate and self-concept influence the degree…
ERIC Educational Resources Information Center
Grana, David P.
2010-01-01
The disparity in academic achievement between African American and White students in all levels of education has been one of the critical issues in education. The purpose of this study was to determine the influence of school, community, and family on African American and White students' on the 8 th grade mathematics scores on the Missouri…
ERIC Educational Resources Information Center
Riccomini, Paul J.
2008-01-01
This paper is an analysis of published research on computer-assisted instruction (CAI) for mathematics involving students with learning disabilities. A systematic search of the literature on computer-assisted instructional interventions for students with learning disabilities yielded 25 studies that met the criteria for inclusion in this analysis.…
ERIC Educational Resources Information Center
Hu, Xiangen; Craig, Scotty D.; Bargagliotti, Anna E.; Graesser, Arthur C.; Okwumabua, Theresa; Anderson, Celia; Cheney, Kyle R.; Sterbinsky, Allan
2012-01-01
This study investigated the effectiveness of the Assessment and LEarning in Knowledge Spaces (ALEKS) system as a method of strategic intervention in after-school settings to improve the mathematical skills of struggling 6th grade students. Students were randomly assigned to after-school classrooms in which they either worked with ALEKS to improve…
ERIC Educational Resources Information Center
Duncan, Hollis; Dick, Thomas
2000-01-01
Describes the Treisman model which involves supplemental workshops in which college students solve problems in collaborative learning groups. Reports on the effectiveness of Math Excel, an implementation of the Treisman model for introductory mathematics courses at Oregon State University over five academic terms. Reveals a significant effect on…
NASA Astrophysics Data System (ADS)
Gil, A. V.; Starchenko, A. V.
2012-09-01
The furnace processes of the combustion of poly-fraction high-ashes Ekibastuz coal in the furnace chamber of the boiler aggregate PK-39 and of the combustion of highly humid brown Berezov's coal in the furnace of the BKZ-210-140 boiler are investigated by mathematical modeling using the package of applied programs FIRE 3D [1-3]. Results of the numerical modeling of the processes of aerodynamics, heat exchange, and combustion in the furnace volume and their comparison with the results of nature tests are presented.
NASA Astrophysics Data System (ADS)
Beckham, Jerrell K.
(MS)2 is a summer program for high achieving minority students interested in math and science careers. It was started in 1977. The Program is located at Phillips Academy in Andover Massachusetts. Phillips Academy is one of the nation's oldest college preparatory schools. The school was founded in 1778. Current U.S. President George Bush attended Phillips Academy and his father before him. The students in (MS)2 attend Phillips Academy in the summertime, along with regular Summer Session students. The (MS)2 Program represents about a fifth of the students at Phillips Academy Summer Session. At present the program is made up of African Americans, Latinos, and Native American students who attend a number of different public schools throughout the nation. This dissertation explores the experiences of students in this program spanning nearly a quarter of a central. My research seeks to understand and shred additional light on how certain outreach programs might help along the pipeline in regard to improving minority representation in mathematics and science fields. Also, this narrative hopes to not only paints a more complex pictures of the experiences of minorities in schools, but seeks to serve the larger public interest by challenging some of the popular renditions and myths of the failure of Blacks, Latino/as, and Native Americans in schooling (Ogbu 2003), as oppose to certain aspects of schooling and society continuing to failing them.
ERIC Educational Resources Information Center
Knapp, Michael S.; And Others
During the past decade, the federal government, alongside the efforts of state, local, and private-sector groups, has promoted initiatives in the search for ways to improve the teaching of mathematics and science in the nation's schools. This report summarizes a 2-year study of the largest of such federal initiatives, the Dwight D. Eisenhower…
Valla, Jeffrey M.; Williams, Wendy M.
2012-01-01
The under-representation of women and ethnic minorities in Science, Technology, Engineering, and Mathematics (STEM) education and professions has resulted in a loss of human capital for the US scientific workforce and spurred the development of myriad STEM educational intervention programs. Increased allocation of resources to such programs begs for a critical, prescriptive, evidence-based review that will enable researchers to develop optimal interventions and administrators to maximize investments. We begin by providing a theoretical backdrop for K-12 STEM programs by reviewing current data on under-representation and developmental research describing individual-level social factors undergirding these data. Next, we review prototypical designs of these programs, highlighting specific programs in the literature as examples of program structures and components currently in use. We then evaluate these interventions in terms of overall effectiveness, as a function of how well they address age-, ethnicity-, or gender-specific factors, suggesting improvements in program design based on these critiques. Finally, program evaluation methods are briefly reviewed and discussed in terms of how their empirical soundness can either enable or limit our ability to delineate effective program components. “Now more than ever, the nation’s changing demographics demand that we include all of our citizens in science and engineering education and careers. For the U.S. to benefit from the diverse talents of all its citizens, we must grow the pipeline of qualified, underrepresented minority engineers and scientists to fill positions in industry and academia.”—Irving P. McPhail.. PMID:22942637
NASA Astrophysics Data System (ADS)
Taylor, Peggy Sue
Learning in computer-mediated conferencing systems requires frequent and open interaction in environments that foster sharing and examination of group knowledge and experiences. Written dialogue is the means by which this interaction takes place. This study examined the effects of a training program designed for facilitators in the e-Mentoring for Student Success (eMSS) program, which provides online induction for beginning science and mathematics teachers. The training was designed to improve the quality of dialogue among participants in the program. The intervention consisted of three components: (1) an online training institute prior to beginning of the program year, (2) placement of facilitators in positions within the discussion areas of the program, and (3) ongoing online support for practicing facilitators. Three examinations were conducted in this mixed-method study. First, preintervention program dialogue was quantitatively compared to post-intervention program dialogue through use of a program-specific rubric to code program discussions. Second, case studies were conducted to determine how the training affected the practices of seven program facilitators and which components of the training effected change or growth. Third, pre and post intervention surveys were administered to all participants of the training to obtain their perceptions of their development as a result of the intervention. Comparison of dialogue before and after the intervention indicated a significant improvement in dialogue quality in the discussion areas of the program. Case studies of facilitators' practices revealed areas of the training that impacted the skills and strategies that facilitators used in efforts to foster increased and improved dialogue. Survey results indicated that participants gained a better understanding of what constituted quality dialogue in terms of the eMSS program and how better to foster quality dialogue in an online environment. Components of the training
1982-05-01
authorized documents. The citation of trade name. and names of manLfacturers in this report is not to be construed as official Government indorsement 4 or...ating the light which illuminatis it. For a target and background which are coincident , this is ntot a problem .rid a comparison of r;flectivities can...NBS Applied Mathematics, Series 55, U. S. Government Printing Office, 1046. Allen, G. and B. E. Simonson, 1970: Attenuation of infrared laser radia
Verbalizing Mathematics Using APL.
ERIC Educational Resources Information Center
Matthews, George E.
The nature of "A Programing Language" (APL) is viewed as unambiguous, consistent, and powerful. It is based on the notion of functions as imperative verbs, and is used by a small but growing number of mathematicians and computer programers. Three areas of mathematical activity are addressed: calculation of arithmetic expressions,…
NASA Astrophysics Data System (ADS)
Bucur, Amelia
2015-09-01
The aim of this paper is to present aspects of mathematical modeling for the hierarchization of study programs from universities, based on several quality characteristics. The tools used pertain to multicriterial optimization, to the different methods of assessing importance coefficients, to the utility theory, the fuzzy formalism, and to the fuzzy simple additive weighting method. The conclusion is that multicriterial decision-making methods can be efficiently used in assessing the quality of study programs, noting that, just like other methods from the decision theory, the multicriterial decision-making methods highlight aspects of problems differently, therefore, there can be no comparison or competitiveness between them, and choosing one over the other is up to the decision-maker.
Computer Mathematics: An Introduction. Part II.
ERIC Educational Resources Information Center
New York City Board of Education, Brooklyn, NY. Div. of Curriculum and Instruction.
This document describes a mathematics course that uses the computer to solve mathematics problems. It was developed to be used with students who have completed at least one year of general mathematics or are not achieving success in the traditional mathematics program. The course is intended to review, reinforce, and extend concepts included in…
Mathematics Education Research: 1985 in Review.
ERIC Educational Resources Information Center
Journal for Research in Mathematics Education, 1986
1986-01-01
Reports developments in mathematics education research for 1985. Items discussed are: (1) establishment of the Mathematical Sciences Education Board; (2) Journal for Research in Mathematics Education monograph series; (3) National Council of Teachers of Mathematics Research Advisory Committee Research Award Program; (4) Research Agenda Project;…
NASA Technical Reports Server (NTRS)
Bielawa, R. L.
1976-01-01
The differential equations of motion for the lateral and torsional deformations of a nonlinearly twisted rotor blade in steady flight conditions together with those additional aeroelastic features germane to composite bearingless rotors are derived. The differential equations are formulated in terms of uncoupled (zero pitch and twist) vibratory modes with exact coupling effects due to finite, time variable blade pitch and, to second order, twist. Also presented are derivations of the fully coupled inertia and aerodynamic load distributions, automatic pitch change coupling effects, structural redundancy characteristics of the composite bearingless rotor flexbeam - torque tube system in bending and torsion, and a description of the linearized equations appropriate for eigensolution analyses. Three appendixes are included presenting material appropriate to the digital computer program implementation of the analysis, program G400.
ERIC Educational Resources Information Center
Hanh, Vu Duc, Ed.
This document gives a listing of mathematical terminology in both the English and Vietnamese languages. Vocabulary used in algebra and geometry is included along with a translation of mathematical symbols. (DT)
ERIC Educational Resources Information Center
Jones, Thomas A.
1983-01-01
Mathematical techniques used to solve geological problems are briefly discussed (including comments on use of geostatistics). Highlights of conferences/meetings and conference papers in mathematical geology are also provided. (JN)
... this page: //medlineplus.gov/ency/article/001534.htm Mathematics disorder To use the sharing features on this page, please enable JavaScript. Mathematics disorder is a condition in which a child's ...
Landauer, C.; Bellman, K.L.
1996-12-31
In this paper, we study foundational issues that we believe will help us develop a theoretically sound approach to constructing complex systems. The two theoretical approaches that have helped us understand and develop computational systems in the past are mathematics and linguistics. We describe some differences and strengths of the approaches, and propose a research program to combine the richness of linguistic reasoning with the precision of mathematics.
Applying Lakatos' Theory to the Theory of Mathematical Problem Solving.
ERIC Educational Resources Information Center
Nunokawa, Kazuhiko
1996-01-01
The relation between Lakatos' theory and issues in mathematics education, especially mathematical problem solving, is investigated by examining Lakatos' methodology of a scientific research program. (AIM)
Formulating Policy for Summer Schools.
ERIC Educational Resources Information Center
Marriot, Helen
1991-01-01
Explores issues relating to the formulation of policy for summer programs for language learning, describing one university's experience with student demand, student motivation and progress, course timing and structure, academic staffing, administrative organization, student and staff evaluation, and funding. (three references) (CB)
Computer formulations of aircraft models for simulation studies
NASA Technical Reports Server (NTRS)
Howard, J. C.
1979-01-01
Recent developments in formula manipulation compilers and the design of several symbol manipulation languages, enable computers to be used for symbolic mathematical computation. A computer system and language that can be used to perform symbolic manipulations in an interactive mode are used to formulate a mathematical model of an aeronautical system. The example demonstrates that once the procedure is established, the formulation and modification of models for simulation studies can be reduced to a series of routine computer operations.
ERIC Educational Resources Information Center
Kilpatrick, Jeremy
2014-01-01
This paper addresses the contested way that ethnomathematics has sometimes been received by mathematicians and others and what that disagreement might suggest about issues in mathematics education; namely, (a) the relation of ethnomathematics to academic mathematics; (b) recent efforts to reform secondary school mathematics so that it prepares…
Mathematical Concepts and Maple Animations
NASA Astrophysics Data System (ADS)
Siddique, Mohammad; Mitchell, Kristy
2010-09-01
Maple is a mathematics software package, which contains graphic, computation, and programming tools. Maple animation is a powerful tool that can help in comprehending many fundamental concepts in mathematics and other sciences. This paper deals with the use of maple animation to demonstrate many fundamental concepts in mathematics that are difficult to explain verbally or through static figures. We show Maple animations effectively convey different concepts. We present problems taken from the literature to exemplify and explain Maple animation procedures. Using Maple in teaching mathematics facilitates the students with a tool to experiment and visualize complicated mathematical concepts and thus, strengthen their grasp of the subject.
Federal Register 2010, 2011, 2012, 2013, 2014
2012-11-26
... Agency Information Collection Activities; Comment Request; Mathematics and Science Partnerships Program... in response to this notice will be considered public records. Title of Collection: Mathematics and...,800. Abstract: The Mathematics and Science Partnerships (MSP) program is a formula grant program...
ERIC Educational Resources Information Center
Zayac, Joanne M.
2013-01-01
With tightened school budgets, school administrators need to know the short term and long range effects of providing gifted programs at the elementary level. Programming opportunities in elementary school have direct impact on middle school and this, in turn impacts high school and college course selection. This study used the Early Childhood…
Mathematical Modeling and Pure Mathematics
ERIC Educational Resources Information Center
Usiskin, Zalman
2015-01-01
Common situations, like planning air travel, can become grist for mathematical modeling and can promote the mathematical ideas of variables, formulas, algebraic expressions, functions, and statistics. The purpose of this article is to illustrate how the mathematical modeling that is present in everyday situations can be naturally embedded in…
ERIC Educational Resources Information Center
BEANE, DONALD G.
SIXTY-FIVE STUDENTS IN TWO CLASSES IN HIGH SCHOOL GEOMETRY WERE ASSIGNED BY STRATIFIED RANDOM PROCEDURE ON THE BASIS OF THE HENNON-NELSON TEST OF MENTAL ABILITY TO FOUR EXPERIMENTAL GROUPS--TWO USING A LINEAR OR A BRANCHING TYPE PROGRAM EXCLUSIVELY, AND TWO SWITCHING PROGRAM TYPE MIDWAY THROUGH THE EXPERIMENT. A THIRD CLASS, TAUGHT BY THE SAME…
NASA Astrophysics Data System (ADS)
Stöltzner, Michael
Answering to the double-faced influence of string theory on mathematical practice and rigour, the mathematical physicists Arthur Jaffe and Frank Quinn have contemplated the idea that there exists a `theoretical' mathematics (alongside `theoretical' physics) whose basic structures and results still require independent corroboration by mathematical proof. In this paper, I shall take the Jaffe-Quinn debate mainly as a problem of mathematical ontology and analyse it against the backdrop of two philosophical views that are appreciative towards informal mathematical development and conjectural results: Lakatos's methodology of proofs and refutations and John von Neumann's opportunistic reading of Hilbert's axiomatic method. The comparison of both approaches shows that mitigating Lakatos's falsificationism makes his insights about mathematical quasi-ontology more relevant to 20th century mathematics in which new structures are introduced by axiomatisation and not necessarily motivated by informal ancestors. The final section discusses the consequences of string theorists' claim to finality for the theory's mathematical make-up. I argue that ontological reductionism as advocated by particle physicists and the quest for mathematically deeper axioms do not necessarily lead to identical results.
40 CFR 152.85 - Formulators' exemption.
Code of Federal Regulations, 2013 CFR
2013-07-01
... 40 Protection of Environment 25 2013-07-01 2013-07-01 false Formulators' exemption. 152.85 Section 152.85 Protection of Environment ENVIRONMENTAL PROTECTION AGENCY (CONTINUED) PESTICIDE PROGRAMS... an applicant to use the formulators' exemption with respect to data concerning an ingredient of...
Mathematical Problem Solving. Issues in Research.
ERIC Educational Resources Information Center
Lester, Frank K., Jr., Ed.; Garofalo, Joe, Ed.
This set of papers was originally developed for a conference on Issues and Directions in Mathematics Problem Solving Research held at Indiana University in May 1981. The purpose is to contribute to the clear formulation of the key issues in mathematical problem-solving research by presenting the ideas of actively involved researchers. An…
Mathematical models in medicine: Diseases and epidemics
Witten, M.
1987-01-01
This volume presents the numerous applications of mathematics in the life sciences and medicine, and demonstrates how mathematics and computers have taken root in these fields. The work covers a variety of techniques and applications including mathematical and modelling methodology, modelling/simulation technology, and philosophical issues in model formulation, leading to speciality medical modelling, artificial intelligence, psychiatric models, medical decision making, and molecular modelling.
NASA Technical Reports Server (NTRS)
Fortenbaugh, R. L.
1980-01-01
Instructions for using Vertical Attitude Takeoff and Landing Aircraft Simulation (VATLAS), the digital simulation program for application to vertical attitude takeoff and landing (VATOL) aircraft developed for installation on the NASA Ames CDC 7600 computer system are described. The framework for VATLAS is the Off-Line Simulation (OLSIM) routine. The OLSIM routine provides a flexible framework and standardized modules which facilitate the development of off-line aircraft simulations. OLSIM runs under the control of VTOLTH, the main program, which calls the proper modules for executing user specified options. These options include trim, stability derivative calculation, time history generation, and various input-output options.
Analysing the Mathematical Experience: Posing the "What Is Mathematics?" Question
ERIC Educational Resources Information Center
Padula, Janice
2011-01-01
In this paper, different schools of thought are discussed and compared to encourage lively classroom discussion and interest in mathematics for high achieving Form 12 students and first (or higher) year university students enrolled in a mathematics degree program. In particular the work and views of two mathematicians, Kurt Godel (1931) and Ian…
NASA Technical Reports Server (NTRS)
Sadler, S. G.
1972-01-01
A mathematical model and computer program was implemented to study the main rotor free wake geometry effects on helicopter rotor blade air loads and response in steady maneuvers. Volume 1 (NASA CR-2110) contains the theoretical formulation and analysis of results. Volume 2 contains the computer program listing.
ERIC Educational Resources Information Center
Ludwig, Meredith Jane; Mengli, Song; Kouyate-Tate, Akua; Cooper, Jennifer E.; Phillips, Lori; Greenbaum, Sarah
2014-01-01
In 2010, the Wolf Trap Foundation for the Performing Arts, Institute for Early Learning Through the Arts, was awarded an Arts in Education Model Development and Dissemination (AEMDD) grant to develop, implement, and disseminate a research-based program of professional development (PD) that equips prekindergarten and kindergarten teachers to infuse…
ERIC Educational Resources Information Center
Salmun, Haydee; Buonaiuto, Frank
2016-01-01
The Catalyst Scholarship Program at Hunter College of The City University of New York (CUNY) was established with a four-year award from the National Science Foundation (NSF) to fund scholarships to 40 academically talented but financially disadvantaged students majoring in four disciplines of science, technology, engineering and mathematics…
NASA Astrophysics Data System (ADS)
Mathers, Naomi; Pakakis, Michael; Christie, Ian
2011-09-01
The Victorian Space Science Education Centre (VSSEC) scenario-based programs, including the Mission to Mars and Mission to the Orbiting Space Laboratory, utilize methodologies such as hands-on applications, immersive learning, integrated technologies, critical thinking and mentoring. The use of a scenario provides a real-life context and purpose to what students might otherwise consider disjointed information. These programs engage students in the areas of maths and science, and highlight potential career paths in science and engineering. The introduction of a scenario-based program for primary students engages students in maths and science at a younger age, addressing the issues of basic numeracy and science literacy, thus laying the foundation for stronger senior science initiatives. Primary students absorb more information within the context of the scenario, and presenting information they can see, hear, touch and smell creates a memorable learning and sensory experience. The mission also supports development of teacher skills in the delivery of hands-on science and helps build their confidence to teach science. The Primary Mission to the Mars Base gives primary school students access to an environment and equipment not available in schools. Students wear flight suits for the duration of the program to immerse them in the experience of being an astronaut. Astronauts work in the VSSEC Space Laboratory, which is transformed into a Mars base for the primary program, to conduct experiments in areas such as robotics, human physiology, microbiology, nanotechnology and environmental science. Specialist mission control software has been developed by La Trobe University Centre for Games Technology to provide age appropriate Information and Communication Technology (ICT) based problem solving and support the concept of a mission. Students in Mission Control observe the astronauts working in the space laboratory and talk to them via the AV system. This interactive
Experimental Mathematics and Mathematical Physics
Bailey, David H.; Borwein, Jonathan M.; Broadhurst, David; Zudilin, Wadim
2009-06-26
One of the most effective techniques of experimental mathematics is to compute mathematical entities such as integrals, series or limits to high precision, then attempt to recognize the resulting numerical values. Recently these techniques have been applied with great success to problems in mathematical physics. Notable among these applications are the identification of some key multi-dimensional integrals that arise in Ising theory, quantum field theory and in magnetic spin theory.
Student Produced Advanced Mathematical Software.
ERIC Educational Resources Information Center
Hogben, Leslie
The intent of this project was to develop a course for mathematics graduate students at Iowa State University. They would design and write computer programs for use by undergraduate mathematics students, and then offer the course and actually produce the software. Phase plane graphics for ordinary differential equations was selected as the topic.…
Mathematics for Physicists and Engineers.
ERIC Educational Resources Information Center
Organisation for Economic Cooperation and Development, Paris (France).
The text is a report of the OEEC Seminar on "The Mathematical Knowledge Required by the Physicist and Engineer" held in Paris, 1961. There are twelve major papers presented: (1) An American Parallel (describes the work of the Panel on Physical Sciences and Engineering of the Committee on the Undergraduate Program in Mathematics of the Mathematical…
On Mathematical Anti-Evolutionism
ERIC Educational Resources Information Center
Rosenhouse, Jason
2016-01-01
The teaching of evolution in American high schools has long been a source of controversy. The past decade has seen an important shift in the rhetoric of anti-evolutionists, toward arguments of a strongly mathematical character. These mathematical arguments, while different in their specifics, follow the same general program and rely on the same…
Case Studies in Applied Mathematics.
ERIC Educational Resources Information Center
Mathematical Association of America, Washington, DC.
This collection of nine case studies in applied mathematics was written primarily for the use of the instructor by a Conference sponsored by the Committee on the Undergraduate Program in Mathematics (CUPM). Each chapter contains exercises of varying degrees of difficulty and several include student projects. The materials were used on a trial…
Mathematics Equity. A Resource Book.
ERIC Educational Resources Information Center
Tyree, Eddy; And Others
Provided in this document is a brief summary of current research on equity in mathematics, readings on the topic, and lists of selected programs and resource materials. Readings presented include: "Teaching Mathematics in a Multicultural Setting: Some Considerations when Teachers and Students are of Differing Cultural Backgrounds"…
Mathematical modeling of deformation during hot rolling
Jin, D.; Stachowiak, R.G.; Samarasekera, I.V.; Brimacombe, J.K.
1994-12-31
The deformation that occurs in the roll bite during the hot rolling of steel, particularly the strain-rate and strain distribution, has been mathematically modeled using finite-element analysis. In this paper three different finite-element models are compared with one another and with industrial measurements. The first model is an Eulerian analysis based on the flow formulation method, while the second utilizes an Updated Lagrangian approach. The third model is based on a commercially available program DEFORM which also utilizes a Lagrangian reference frame. Model predictions of strain and strain-rate distribution, particularly near the surface of the slab, are strongly influenced by the treatment of friction at the boundary and the magnitude of the friction coefficient or shear factor. Roll forces predicted by the model have been compared with industrial rolling loads from a seven-stand hot-strip mill.
ERIC Educational Resources Information Center
Ellis, Brian E.
2014-01-01
Despite a decade of reform driven by the NCLB legislation, there continues to be a significant gap in mathematics achievement between race/ethnicity and socioeconomic groupings of students. This study examines the practice of tracking and an effort to improve mathematics achievement by eliminating the general level mathematics track. The suburban…
ERIC Educational Resources Information Center
Prochazka, Helen
2004-01-01
One section of this "scrapbook" section describes Pythagoras' belief in the connections between music and mathematics -- that everything in the universe was a series of harmonies and regulated by music. Another section explains why Phythagoras felt it important for women to be encouraged to learn mathematics. At least 28 women were involved in his…
ERIC Educational Resources Information Center
Flannery, Carol A.
This manuscript provides information and problems for teaching mathematics to vocational education students. Problems reflect applications of mathematical concepts to specific technical areas. The materials are organized into six chapters. Chapter 1 covers basic arithmetic, including fractions, decimals, ratio and proportions, percentages, and…
ERIC Educational Resources Information Center
McClellan, Kathryn T.
Why mathematics should be learned is discussed. Its role as an important active force in the development of our civilization, and as the most useful subject taught in our schools, next to English, is noted. The primary objective of all mathematics work is to help man study nature, and some practical achievements of this connection are noted.…
ERIC Educational Resources Information Center
Smith, Marvin E.; Swars, Susan L.; Smith, Stephanie Z.; Hart, Lynn C.; Haardorfer, Regine
2012-01-01
This longitudinal study examines the effects of changes in an elementary teacher preparation program on mathematics beliefs and content knowledge for teaching of two groups of prospective teachers (N = 276): (1) those who completed a program with three mathematics content courses and two mathematics methods courses and (2) those who completed a…
ERIC Educational Resources Information Center
Coxford, Arthur F.; Fey, James T.; Hirsch, Christian R.; Schoen, Harold L.; Burrill, Gail; Hart, Eric W.; Watkins, Ann E.
Contemporary Mathematics in Context is a four-year, integrated mathematics program developed by the Core-Plus Mathematics Project (CPMP) at the Everyday Learning Corporation. The program features student and teacher materials for a three-year core curriculum for all students as well as a fourth-year course continuing the preparation of students…
ERIC Educational Resources Information Center
Wood, William B.
2002-01-01
A recently released National Research Council (NRC) report, "Learning and Understanding: Improving Advanced Study of Mathematics and Science in U.S. High Schools", evaluated and recommended changes in the Advanced Placement (AP), International Baccalaureate (IB), and other advanced secondary school science programs. As part of this study,…
ERIC Educational Resources Information Center
Mahaffey, Michael L.; McKillip, William D.
This manual is designed for teachers using the Career Oriented Mathematics units on owning an automobile and driving as a career, retail sales, measurement, and area-perimeter. The volume begins with a discussion of the philosophy and scheduling of the program which is designed to improve students' attitudes and ability in computation by…
A Classroom Mathematics Utility.
ERIC Educational Resources Information Center
Williams, Michael
1984-01-01
Reviews CATUSPLOT, a mathematics utility aimed at high school algebra through college-level calculus. Basic program capabilities include plotting, tabulating, integrating, and locating of intersections of functions composed of combinations of polynomial, trigonometric, and exponential functions. Rated excellent on all areas examined…
NASA Technical Reports Server (NTRS)
Tapia, R. A.; Vanrooy, D. L.
1976-01-01
A quasi-Newton method is presented for minimizing a nonlinear function while constraining the variables to be nonnegative and sum to one. The nonnegativity constraints were eliminated by working with the squares of the variables and the resulting problem was solved using Tapia's general theory of quasi-Newton methods for constrained optimization. A user's guide for a computer program implementing this algorithm is provided.
Mathematical modelling in developmental biology.
Vasieva, Olga; Rasolonjanahary, Manan'Iarivo; Vasiev, Bakhtier
2013-06-01
In recent decades, molecular and cellular biology has benefited from numerous fascinating developments in experimental technique, generating an overwhelming amount of data on various biological objects and processes. This, in turn, has led biologists to look for appropriate tools to facilitate systematic analysis of data. Thus, the need for mathematical techniques, which can be used to aid the classification and understanding of this ever-growing body of experimental data, is more profound now than ever before. Mathematical modelling is becoming increasingly integrated into biological studies in general and into developmental biology particularly. This review outlines some achievements of mathematics as applied to developmental biology and demonstrates the mathematical formulation of basic principles driving morphogenesis. We begin by describing a mathematical formalism used to analyse the formation and scaling of morphogen gradients. Then we address a problem of interplay between the dynamics of morphogen gradients and movement of cells, referring to mathematical models of gastrulation in the chick embryo. In the last section, we give an overview of various mathematical models used in the study of the developmental cycle of Dictyostelium discoideum, which is probably the best example of successful mathematical modelling in developmental biology.
ERIC Educational Resources Information Center
Watts, Beverly Kinsey
2011-01-01
Competent mathematical skills are needed in the workplace as well as in the college setting. Adults in Adult Basic Education classes and programs generally perform below high school level competency, but very few studies have been performed investigating the predictors of mathematical success for adults. The current study contributes to the…
Pseudo-prototyping of aerospace mechanical dynamic systems with a generalized computer program
NASA Technical Reports Server (NTRS)
Sohoni, Vikram N.; Chace, Milton A.
1986-01-01
The ADAMS computer program for automated analysis of mechanisms and machines is described. The program automatically formulates mathematical models for prototype or existing mechanisms with the minimum necessary physical and geometric data. The model can then be analyzed in various modes of analysis. The outputs (displacements, velocities, acceleration and forces) can be produced in tabular and graphical (plots, wire frame graphics) form. The application of this computer program to simulating satellite docking maneuvers is illustrated.
Programmable Calculators: Implications for the Mathematics Curriculum.
ERIC Educational Resources Information Center
Spikell, Mark A., Ed.
This document is a collection of reports presented at a programable calculator symposium held in Seattle, Washington, in April, 1980, as part of the annual meeting of the National Council of Teachers of Mathematics (NCTM). The session was designed to review whether the programable calculator has a place in the school mathematics program, in light…
Areepattamannil, Shaljan; Khine, Myint Swe; Melkonian, Michael; Welch, Anita G; Al Nuaimi, Samira Ahmed; Rashad, Fatimah F
2015-10-01
Drawing on data from the 2012 Program for International Student Assessment (PISA) and employing multilevel modeling as an analytic strategy, this study examined the relations of adolescent children's perceptions of their parents' attitudes towards mathematics to their own attitudes towards mathematics and mathematics achievement among a sample of 5116 adolescents from 384 schools in the United Arab Emirates. The results of this cross-sectional study revealed that adolescents who perceived that their parents liked mathematics and considered mathematics was important for their children not only to study but also for their career tended to report higher levels of intrinsic and instrumental motivation to learn mathematics, mathematics self-concept and self-efficacy, and mathematics work ethic. Moreover, adolescents who perceived that their parents liked mathematics and considered mathematics was important for their children's career tended to report positive intentions and behaviors toward mathematics. However, adolescents who perceived that their parents considered mathematics was important for their children's career tended to report higher levels of mathematics anxiety. Finally, adolescents who perceived that their parents considered mathematics was important for their children to study performed significantly better on the mathematics assessment than did their peers whose parents disregarded the importance of learning mathematics.
High Speed Cylindrical Roller Bearing Analysis, SKF Computer Program CYBEAN. Volume 1: Analysis
NASA Technical Reports Server (NTRS)
Kleckner, R. J.; Pirvics, J.
1978-01-01
The CYBEAN (CYlindrical BEaring ANalysis) program was created to detail radially loaded, aligned and misaligned Cylindrical roller bearing performance under a variety of operating conditions. The models and associated mathematics used within CYBEAN are described. The user is referred to the material for formulation assumptions and algorithm detail.
Mathematical Modelling: A Path to Political Reflection in the Mathematics Class
ERIC Educational Resources Information Center
Jacobini, Otavio Roberto; Wodewotzki, Maria Lucia L.
2006-01-01
This paper describes the construction of pedagogical environments in mathematics classes, centred on mathematical modelling and denominated "investigative scenarios", which stimulate students to investigation, to formulation of problems and to political reflection, as well as the sharing of acquired knowledge with other persons in the community.…
Mathematical Model for Mapping Students' Cognitive Capability
ERIC Educational Resources Information Center
Tambunan, Hardi
2016-01-01
The quality mapping of educational unit program is important issue in education in Indonesia today in an effort to improve the quality of education. The objective of this study is to make a mathematical model to find out the map of students' capability in mathematics. It has been made a mathematical model to be used in the mapping of students'…
Can Television Enhance Children's Mathematical Problem Solving?
ERIC Educational Resources Information Center
Fisch, Shalom M.; And Others
1994-01-01
A summative evaluation of "Square One TV," an educational mathematics series produced by the Children's Television Workshop, shows that children who regularly viewed the program showed significant improvement in solving unfamiliar, complex mathematical problems, and viewers showed improvement in their mathematical problem-solving ability…
New Directions for Mathematics Instruction. 1989 Yearbook.
ERIC Educational Resources Information Center
Blume, Glendon W., Ed.; Heid, M. Kathleen, Ed.
This yearbook discusses instructional approaches that are consistent with the reformulation of the school mathematics curriculum by the National Council of Teachers of Mathematics (NCTM). Articles included cover: (1) Pennsylvania standards for mathematics programs (including goals, curriculum, instruction, evaluation, teachers, and…
An Evaluation of the Connected Mathematics Project.
ERIC Educational Resources Information Center
Cain, Judith S.
2002-01-01
Evaluated the Connected Mathematics Project (CMP), a middle school reform mathematics curriculum used in Louisiana's Lafayette parish. Analysis of Iowa Test of Basic Skills and Louisiana Education Assessment Program mathematics data indicated that CMP schools significantly outperformed non-CMP schools. Surveys of teachers and students showed that…
Using Calculators in Mathematics 12. Student Text.
ERIC Educational Resources Information Center
Rising, Gerald R.; And Others
This student textbook is designed to incorporate programable calculators in grade 12 mathematics. The seven chapters contained in this document are: (1) Using Calculators in Mathematics; (2) Sequences, Series, and Limits; (3) Iteration, Mathematical Induction, and the Binomial Theorem; (4) Applications of the Fundamental Counting Principle; (5)…
Clinical Assessment in Mathematics: Learning the Craft.
ERIC Educational Resources Information Center
Hunting, Robert P.; Doig, Brian A.
1997-01-01
Discusses a professional development program called Clinical Approaches to Mathematics Assessment. Argues for the advanced training of mathematics teachers who understand knowledge construction processes of students; can use clinical tools for evaluating a student's unique mathematical "fingerprint"; and can create or adapt problems, tasks, or…
Computer Aided Learning of Mathematics: Software Evaluation
ERIC Educational Resources Information Center
Yushau, B.; Bokhari, M. A.; Wessels, D. C. J.
2004-01-01
Computer Aided Learning of Mathematics (CALM) has been in use for some time in the Prep-Year Mathematics Program at King Fahd University of Petroleum & Minerals. Different kinds of software (both locally designed and imported) have been used in the quest of optimizing the recitation/problem session hour of the mathematics classes. This paper…
Expanding your horizons in science and mathematics
NASA Technical Reports Server (NTRS)
Palmer, Cynthia E. A.
1995-01-01
The purpose of the 'Expanding Your Horizons in Science and Mathematics' program is to interest young women in grades six through twelve in a variety of careers where mathematics and science are important. Progress in encouraging young women to take courses in mathematics, science, and technological subjects is discussed. Also included are adult, student, and organizational information packets used for 'Expanding Your Horizons' conferences.
High-Order Entropy Stable Formulations for Computational Fluid Dynamics
NASA Technical Reports Server (NTRS)
Carpenter, Mark H.; Fisher, Travis C.
2013-01-01
A systematic approach is presented for developing entropy stable (SS) formulations of any order for the Navier-Stokes equations. These SS formulations discretely conserve mass, momentum, energy and satisfy a mathematical entropy inequality. They are valid for smooth as well as discontinuous flows provided sufficient dissipation is added at shocks and discontinuities. Entropy stable formulations exist for all diagonal norm, summation-by-parts (SBP) operators, including all centered finite-difference operators, Legendre collocation finite-element operators, and certain finite-volume operators. Examples are presented using various entropy stable formulations that demonstrate the current state-of-the-art of these schemes.
ERIC Educational Resources Information Center
McCammon, Richard B.
1979-01-01
The year 1978 marked a continued trend toward practical applications in mathematical geology. Developments included work in interactive computer graphics, factor analysis, the vanishing tons problem, universal kriging, and resource estimating. (BB)
Psychiatrists' use of formulation
Hughes, Patricia M.
2016-01-01
Both psychologists and psychiatrists are trained to write formulations of their patients' illnesses, with some differences in how they do this. Psychologists focus on psychological understanding, while psychiatrists' formulation brings together aetiology, functioning and a management plan. Mohtashemi et al's study records how some psychiatrists understand formulation and its usefulness. Time pressure was an important barrier to making a full formulation, and some believed the medical role of the psychiatrist was a priority. The study illustrates some of the challenges facing psychiatrists working in the NHS in terms of maintaining high clinical standards and a holistic approach to patient care. PMID:27512593
[Lipid formulations of amphotericin].
Botero, Martha C; Puentes-Herrera, Marcela; Cortés, Jorge A
2014-10-01
Amphotericin B deoxycholate use has increased during the past years in parallel with the increase in the number of immunosuppressed patients suffering invasive fungal infections. This drug is associated with a high rate of side effects, especially renal toxicity. Lipid formulations (liposomal, lipid complex, colloidal suspension and the Indian liposomal formulation) have been developed, which share the same antifungal spectrum but differ in efficacy and toxicity. A review of amphotericin lipid formulations is presented, focusing on differences in efficacy and, especially renal toxicity. The main problem for use of these formulations in Latin America is their highcost.
Formal verification of mathematical software
NASA Technical Reports Server (NTRS)
Sutherland, D.
1984-01-01
Methods are investigated for formally specifying and verifying the correctness of mathematical software (software which uses floating point numbers and arithmetic). Previous work in the field was reviewed. A new model of floating point arithmetic called the asymptotic paradigm was developed and formalized. Two different conceptual approaches to program verification, the classical Verification Condition approach and the more recently developed Programming Logic approach, were adapted to use the asymptotic paradigm. These approaches were then used to verify several programs; the programs chosen were simplified versions of actual mathematical software.
ERIC Educational Resources Information Center
Price, Janet E.
1981-01-01
Examines the needs and objectives behind the expression "languages for special purposes," considering the problems faced by a language center that attempts to provide strictly specialized programs of instruction. Describes a method for the analysis of student needs as applied to the Department of Agriculture at the University of Newcastle. Societe…
1991-07-26
the career education component which was designed to provide participants an opportunity to see "mathematics at work" in every day life 2 through films ...and a film , and discussed career opportunities in mathematics-based fields. The students viewed the video tapes: "The Challenge of the Unknown... film "Donald in Mathemagic Land" which shows how mathematics grows from simple ideas. 0 This component also includes a career awareness forum which is a
ERIC Educational Resources Information Center
Bossé, Michael J.; Adu-Gyamfi, Kwaku; Chandler, Kayla; Lynch-Davis, Kathleen
2016-01-01
Dynamic mathematical environments allow users to reify mathematical concepts through multiple representations, transform mathematical relations and organically explore mathematical properties, investigate integrated mathematics, and develop conceptual understanding. Herein, we integrate Boolean algebra, the functionalities of a dynamic…
Mathematical wit and mathematical cognition.
Aberdein, Andrew
2013-04-01
The published works of scientists often conceal the cognitive processes that led to their results. Scholars of mathematical practice must therefore seek out less obvious sources. This article analyzes a widely circulated mathematical joke, comprising a list of spurious proof types. An account is proposed in terms of argumentation schemes: stereotypical patterns of reasoning, which may be accompanied by critical questions itemizing possible lines of defeat. It is argued that humor is associated with risky forms of inference, which are essential to creative mathematics. The components of the joke are explicated by argumentation schemes devised for application to topic-neutral reasoning. These in turn are classified under seven headings: retroduction, citation, intuition, meta-argument, closure, generalization, and definition. Finally, the wider significance of this account for the cognitive science of mathematics is discussed.
Glimm, J.
2009-10-14
Progress for the past decade or so has been extraordinary. The solution of Fermat's Last Theorem [11] and of the Poincare Conjecture [1] have resolved two of the most outstanding challenges to mathematics. For both cases, deep and advanced theories and whole subfields of mathematics came into play and were developed further as part of the solutions. And still the future is wide open. Six of the original seven problems from the Clay Foundation challenge remain open, the 23 DARPA challenge problems are open. Entire new branches of mathematics have been developed, including financial mathematics and the connection between geometry and string theory, proposed to solve the problems of quantized gravity. New solutions of the Einstein equations, inspired by shock wave theory, suggest a cosmology model which fits accelerating expansion of the universe possibly eliminating assumptions of 'dark matter'. Intellectual challenges and opportunities for mathematics are greater than ever. The role of mathematics in society continues to grow; with this growth comes new opportunities and some growing pains; each will be analyzed here. We see a broadening of the intellectual and professional opportunities and responsibilities for mathematicians. These trends are also occuring across all of science. The response can be at the level of the professional societies, which can work to deepen their interactions, not only within the mathematical sciences, but also with other scientific societies. At a deeper level, the choices to be made will come from individual mathematicians. Here, of course, the individual choices will be varied, and we argue for respect and support for this diversity of responses. In such a manner, we hope to preserve the best of the present while welcoming the best of the new.
Algorithmic Perspectives on Problem Formulations in MDO
NASA Technical Reports Server (NTRS)
Alexandrov, Natalia M.; Lewis, Robert Michael
2000-01-01
This work is concerned with an approach to formulating the multidisciplinary optimization (MDO) problem that reflects an algorithmic perspective on MDO problem solution. The algorithmic perspective focuses on formulating the problem in light of the abilities and inabilities of optimization algorithms, so that the resulting nonlinear programming problem can be solved reliably and efficiently by conventional optimization techniques. We propose a modular approach to formulating MDO problems that takes advantage of the problem structure, maximizes the autonomy of implementation, and allows for multiple easily interchangeable problem statements to be used depending on the available resources and the characteristics of the application problem.
ERIC Educational Resources Information Center
Shoemaker, Sarah E.; Thomas, Christopher; Roberts, Todd; Boltz, Robin
2016-01-01
The North Carolina School of Science and Mathematics (NCSSM) offers students a wide variety of real-world opportunities to develop skills and talent critical for students to gain the essential professional and personal skills that lead to success in science, technology, engineering, and mathematics (STEM) careers. One of the key avenues available…
Modern Mathematics, Intelligence and Basic Conceptual Skills
ERIC Educational Resources Information Center
Williams, John D.
1972-01-01
The effect that learning modern'' mathematics (Dienes program) had on intelligence test scores of children aged eight and nine was studied. No overall significant difference was obtained between the experimental group and a control group instructed in a traditional mathematics program. (JP)
New Directions - New Dimensions: Mathematics in Kentucky.
ERIC Educational Resources Information Center
Boyd, Russell; And Others
This booklet is one of a series devoted to changes in major curricular areas in the school systems of Kentucky. Included are twenty-one articles written by administrative and teaching personnel who are involved in mathematics programs of an experimental or innovative nature. The articles describe programs dealing with modern mathematics, computer…
Quotable Quotes in Mathematics
ERIC Educational Resources Information Center
Lo, Bruce W. N.
1983-01-01
As a way to dispel negative feelings toward mathematics, a variety of quotations are given. They are categorized by: what mathematics is, mathematicians, mathematics and other disciplines, different areas of mathematics, mathematics and humor, applications of mathematics, and pure versus applied mathematics. (MNS)
Mathematical analysis of vortex dynamics
NASA Astrophysics Data System (ADS)
Caflisch, Russel E.
This review paper discusses the mathematical theory of vortex dynamics for incompressible, inviscid flow in two and three dimensions. The surveyed results include existence and uniqueness of time-dependent solutions, instability and singularity formation, convergence of numerical methods, and existence and stability of steady states. A simple integral formulation for the evolution of a three dimensional vortex sheet and a variational principle for the Batchelor flow problem are presented.
Reactive decontamination formulation
Giletto, Anthony; White, William; Cisar, Alan J.; Hitchens, G. Duncan; Fyffe, James
2003-05-27
The present invention provides a universal decontamination formulation and method for detoxifying chemical warfare agents (CWA's) and biological warfare agents (BWA's) without producing any toxic by-products, as well as, decontaminating surfaces that have come into contact with these agents. The formulation includes a sorbent material or gel, a peroxide source, a peroxide activator, and a compound containing a mixture of KHSO.sub.5, KHSO.sub.4 and K.sub.2 SO.sub.4. The formulation is self-decontaminating and once dried can easily be wiped from the surface being decontaminated. A method for decontaminating a surface exposed to chemical or biological agents is also disclosed.
Formulation techniques for nanofluids.
Rivera-Solorio, Carlos I; Payán-Rodríguez, Luis A; García-Cuéllar, Alejandro J; Ramón-Raygoza, E D; L Cadena-de-la-Peña, Natalia; Medina-Carreón, David
2013-11-01
Fluids with suspended nanoparticles, commonly known as nanofluids, may be formulated to improve the thermal performance of industrial heat transfer systems and applications. Nanofluids may show enhanced thermal and electrical properties such as thermal conductivity, viscosity, heat transfer coefficient, dielectric strength, etc. However, stability problems may arise as nanoparticles usually have the tendency to agglomerate and sediment producing deterioration in the increment of these properties. In this review, we discuss patents that report advances in the formulation of nanofluids including: production methods, selection of components (nanoparticles, base fluid and surfactants), their chemical compositions and morphologies, and characterization techniques. Finally, current and future directions in the development of nanofluid formulation are discussed.
Verifying a Computer Algorithm Mathematically.
ERIC Educational Resources Information Center
Olson, Alton T.
1986-01-01
Presents an example of mathematics from an algorithmic point of view, with emphasis on the design and verification of this algorithm. The program involves finding roots for algebraic equations using the half-interval search algorithm. The program listing is included. (JN)
Mathematical Discovery Prolog-Style.
ERIC Educational Resources Information Center
Lopez, Antonio M., Jr.
1991-01-01
The programing language PROLOG is compared to LOGO in terms of its ability to handle mathematical ideas. This is demonstrated by using PROLOG in solving a geometric theorem and two lemmas. The listings of the computer programs used to solve the problems are included. (KR)
Integrated Formulation of Beacon-Based Exception Analysis for Multimissions
NASA Technical Reports Server (NTRS)
Mackey, Ryan; James, Mark; Park, Han; Zak, Mickail
2003-01-01
Further work on beacon-based exception analysis for multimissions (BEAM), a method of real-time, automated diagnosis of a complex electromechanical systems, has greatly expanded its capability and suitability of application. This expanded formulation, which fully integrates physical models and symbolic analysis, is described. The new formulation of BEAM expands upon previous advanced techniques for analysis of signal data, utilizing mathematical modeling of the system physics, and expert-system reasoning,
To Assess Students' Attitudes, Skills and Competencies in Mathematical Modeling
ERIC Educational Resources Information Center
Lingefjard, Thomas; Holmquist, Mikael
2005-01-01
Peer-to-peer assessment, take-home exams and a mathematical modeling survey were used to monitor and assess students' attitudes, skills and competencies in mathematical modeling. The students were all in a secondary mathematics, teacher education program with a comprehensive amount of mathematics studies behind them. Findings indicate that…
Approaching mathematical model of the immune network based DNA Strand Displacement system.
Mardian, Rizki; Sekiyama, Kosuke; Fukuda, Toshio
2013-12-01
One biggest obstacle in molecular programming is that there is still no direct method to compile any existed mathematical model into biochemical reaction in order to solve a computational problem. In this paper, the implementation of DNA Strand Displacement system based on nature-inspired computation is observed. By using the Immune Network Theory and Chemical Reaction Network, the compilation of DNA-based operation is defined and the formulation of its mathematical model is derived. Furthermore, the implementation on this system is compared with the conventional implementation by using silicon-based programming. From the obtained results, we can see a positive correlation between both. One possible application from this DNA-based model is for a decision making scheme of intelligent computer or molecular robot.
ERIC Educational Resources Information Center
Rogness, Jonathan
2011-01-01
Advances in computer graphics have provided mathematicians with the ability to create stunning visualizations, both to gain insight and to help demonstrate the beauty of mathematics to others. As educators these tools can be particularly important as we search for ways to work with students raised with constant visual stimulation, from video games…
ERIC Educational Resources Information Center
Hadlock, Charles R
2013-01-01
The movement of groundwater in underground aquifers is an ideal physical example of many important themes in mathematical modeling, ranging from general principles (like Occam's Razor) to specific techniques (such as geometry, linear equations, and the calculus). This article gives a self-contained introduction to groundwater modeling with…
ERIC Educational Resources Information Center
Kennard, Jackie
2007-01-01
One of the most interesting developments in teaching has been the growing importance of the outdoor environment. Whether it be playground, garden or field, the outdoors offers a range of challenging experiences, especially in the delivery of early mathematics. Oral feedback to parents, together with photographic displays, can show them that…
ERIC Educational Resources Information Center
Virginia Department of Education, 2011
2011-01-01
This first draft of the "Comparison of Virginia's 2009 Mathematics Standards of Learning (SOL) with the Common Core State Standards (CCSS) for Mathematics" provides a side-by-side overview demonstrating how the 2009 Mathematics SOL are aligned to the CCSS. The comparison was made using Virginia's complete standards program for supporting…
ERIC Educational Resources Information Center
Van Nes, Fenna
2011-01-01
The Mathematics Education and Neurosciences project is an interdisciplinary research program that bridges mathematics education research with neuroscientific research. The bidirectional collaboration will provide greater insight into young children's (aged four to six years) mathematical abilities. Specifically, by combining qualitative "design…
ERIC Educational Resources Information Center
Westenskow, Arla; Boyer-Thurgood, Jennifer; Moyer-Packenham, Patricia S.
2015-01-01
This research study examined the perceptions of 24 parents of rising 5th-grade students with mathematics learning difficulties as part of a 10-week summer mathematics tutoring experience. During the summer tutoring program, parents observed their children participating in mathematics learning experiences during one-to-one tutoring sessions. At the…
ERIC Educational Resources Information Center
Beswick, Kim
2008-01-01
This paper reports on the beliefs of a group of K-8 mathematics teachers about appropriate goals and methods of mathematics teaching for students with mathematics learning difficulties and for students generally. The teachers were involved in a brief professional learning program that aimed to provide them with effective strategies for mathematics…
ERIC Educational Resources Information Center
Hilby, Alyssa C.; Stripling, Christopher T.; Stephens, Carrie A.
2014-01-01
STEM disciplines will continue to impact school-based agricultural education programs; thus, in order to produce secondary students proficient in science and mathematics, developing preservice agricultural education teachers who are competent in mathematics and teaching mathematics is essential. This study utilized data collected through a focus…
The Mathematical Education of Teachers. Issues in Mathematics Education. Volume 11 [and] Part I.
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Conference Board of the Mathematical Sciences, Washington, DC.
This report is designed to be a resource for mathematics faculty and other parties involved in the education of mathematics teachers. It provides a distillation of current thinking on curriculum and policy issues affecting the mathematical education of teachers with the goal of stimulating efforts on individual campuses to improve programs for…
Studies in Mathematics Education, Volume 3. The Mathematical Education of Primary-School Teachers.
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Morris, Robert, Ed.
Recognizing that the teacher is the key to improving any mathematics program, this volume examines the responsibility of primary school teachers for the mathematics component of the curriculum and the implications thereof for teacher education. The first two chapters focus on the responsibilities of teachers of primary mathematics and contemporary…
ERIC Educational Resources Information Center
Haciomeroglu, Guney
2013-01-01
Three hundred-one pre-service teachers enrolled in elementary teacher education program were administered two surveys to measure mathematics anxiety and mathematical beliefs. Results of the study revealed that there were significant differences between third year and fourth year pre-service teachers regarding their mathematics anxiety and…
Rival approaches to mathematical modelling in immunology
NASA Astrophysics Data System (ADS)
Andrew, Sarah M.; Baker, Christopher T. H.; Bocharov, Gennady A.
2007-08-01
In order to formulate quantitatively correct mathematical models of the immune system, one requires an understanding of immune processes and familiarity with a range of mathematical techniques. Selection of an appropriate model requires a number of decisions to be made, including a choice of the modelling objectives, strategies and techniques and the types of model considered as candidate models. The authors adopt a multidisciplinary perspective.