ERIC Educational Resources Information Center
Hale, Norman; Lindelow, John
Chapter 12 in a volume on school leadership, this chapter cites the work of several authorities concerning problem-solving or decision-making techniques based on the belief that group problem-solving effort is preferable to individual effort. The first technique, force-field analysis, is described as a means of dissecting complex problems into…
Numerical Problem Solving Using Mathcad in Undergraduate Reaction Engineering
ERIC Educational Resources Information Center
Parulekar, Satish J.
2006-01-01
Experience in using a user-friendly software, Mathcad, in the undergraduate chemical reaction engineering course is discussed. Example problems considered for illustration deal with simultaneous solution of linear algebraic equations (kinetic parameter estimation), nonlinear algebraic equations (equilibrium calculations for multiple reactions and…
Peskin, Michael E
2003-02-13
In upper-division undergraduate physics courses, it is desirable to give numerical problem-solving exercises integrated naturally into weekly problem sets. I explain a method for doing this that makes use of the built-in class structure of the Java programming language. I also supply a Java class library that can assist instructors in writing programs of this type.
Role of Beliefs and Emotions in Numerical Problem Solving in University Physics Education
ERIC Educational Resources Information Center
Bodin, Madelen; Winberg, Mikael
2012-01-01
Numerical problem solving in classical mechanics in university physics education offers a learning situation where students have many possibilities of control and creativity. In this study, expertlike beliefs about physics and learning physics together with prior knowledge were the most important predictors of the quality of performance of a task…
Efficient numerical method for solving Cauchy problem for the Gamma equation
NASA Astrophysics Data System (ADS)
Koleva, Miglena N.
2011-12-01
In this work we consider Cauchy problem for the so called Gamma equation, derived by transforming the fully nonlinear Black-Scholes equation for option price into a quasilinear parabolic equation for the second derivative (Greek) ? = VSS of the option price V. We develop an efficient numerical method for solving the model problem concerning different volatility terms. Using suitable change of variables the problem is transformed on finite interval, keeping original behavior of the solution at the infinity. Then we construct Picard-Newton algorithm with adaptive mesh step in time, which can be applied also in the case of non-differentiable functions. Results of numerical simulations are given.
On some numerical scheme of solving diffraction problem on open and closed screens
Ryzhakov, Gleb V.
2015-03-10
In the paper, the problem of diffraction on thin ideally conductive screens is reduced to vector hypersingular integral equation with integral treated in the sense of finite Hadamard value. An numerical scheme to solve the equation is introduced. The scheme is based on piecewise approximation of unknown function. The advantage of the scheme is that integral of singular part is reduced to contour integral which can be analytically calculated so numerical calculation are significantly accelerated. Several examples of resulting numerical experiments are given in comparison with known theoretical and experimental data.
Dix, Annika; van der Meer, Elke
2015-04-01
This study investigates cognitive resource allocation dependent on fluid and numerical intelligence in arithmetic/algebraic tasks varying in difficulty. Sixty-six 11th grade students participated in a mathematical verification paradigm, while pupil dilation as a measure of resource allocation was collected. Students with high fluid intelligence solved the tasks faster and more accurately than those with average fluid intelligence, as did students with high compared to average numerical intelligence. However, fluid intelligence sped up response times only in students with average but not high numerical intelligence. Further, high fluid but not numerical intelligence led to greater task-related pupil dilation. We assume that fluid intelligence serves as a domain-general resource that helps to tackle problems for which domain-specific knowledge (numerical intelligence) is missing. The allocation of this resource can be measured by pupil dilation. PMID:25327870
Role of beliefs and emotions in numerical problem solving in university physics education
NASA Astrophysics Data System (ADS)
Bodin, Madelen; Winberg, Mikael
2012-06-01
Numerical problem solving in classical mechanics in university physics education offers a learning situation where students have many possibilities of control and creativity. In this study, expertlike beliefs about physics and learning physics together with prior knowledge were the most important predictors of the quality of performance of a task with many degrees of freedom. Feelings corresponding to control and concentration, i.e., emotions that are expected to trigger students’ intrinsic motivation, were also important in predicting performance. Unexpectedly, intrinsic motivation, as indicated by enjoyment and interest, together with students’ personal interest and utility value beliefs did not predict performance. This indicates that although a certain degree of enjoyment is probably necessary, motivated behavior is rather regulated by integration and identification of expertlike beliefs about learning and are more strongly associated with concentration and control during learning and, ultimately, with high performance. The results suggest that the development of students’ epistemological beliefs is important for students’ ability to learn from realistic problem-solving situations with many degrees of freedom in physics education.
Techniques of Problem Solving.
ERIC Educational Resources Information Center
Krantz, Steven G.
The purpose of this book is to teach the basic principles of problem solving in both mathematical and non-mathematical problems. The major components of the book consist of learning to translate verbal discussion into analytical data, learning problem solving methods for attacking collections of analytical questions or data, and building a…
Improving Educational Problem Solving.
ERIC Educational Resources Information Center
Martinelli, Kenneth J.; Muth, Rodney
1989-01-01
Any feasible problem-solving theory must become a master plan defining actions leading to desired results. This article presents an integrated, research-based planning model stressing a contingency approach to problem-solving that recognizes constraints such as time, accountability, learning time, uncertainty, conflicts, and complexity. Includes…
Activities: Problem Solving with Computers.
ERIC Educational Resources Information Center
Channell, Dwayne E.
1984-01-01
This activity consists of two problem situations, each illustrating how a computer can be used as a tool to assist students in solving mathematical problems. In one, numerous calculations are performed by the computer; the second uses a Monte Carlo model to simulate a physical action. (MNS)
ERIC Educational Resources Information Center
Capobianco, Brenda M.; Tyrie, Nancy
2009-01-01
In a unique school-university partnership, methods students collaborated with fifth graders to use the engineering design process to build their problem-solving skills. By placing the problem in the context of a client having particular needs, the problem took on a real-world appeal that students found intriguing and inviting. In this article, the…
Chemical Reaction Problem Solving.
ERIC Educational Resources Information Center
Veal, William
1999-01-01
Discusses the role of chemical-equation problem solving in helping students predict reaction products. Methods for helping students learn this process must be taught to students and future teachers by using pedagogical skills within the content of chemistry. Emphasizes that solving chemical reactions should involve creative cognition where…
Minnesota, University of
is a difficult, time consuming, and frustrating process -- like climbing a steep mountain. Many students try to run around this mountain by using their novice problem-solving strategies. Some of them give up (drop
ERIC Educational Resources Information Center
LeBlanc, John Francis
The study concerns the performances of first grade children in solving problems involving subtraction situations and the relationship of these performances to levels of conservation of numerousness and to I.Q. groups. The subjects were grouped into levels of conservation by a pretest administered prior to the main test of problem solving in…
Problem Solving in Electricity.
ERIC Educational Resources Information Center
Caillot, Michel; Chalouhi, Elias
Two studies were conducted to describe how students perform direct current (D-C) circuit problems. It was hypothesized that problem solving in the electricity domain depends largely on good visual processing of the circuit diagram and that this processing depends on the ability to recognize when two or more electrical components are in series or…
Active Problem Solving and Applied Research Methods in a Graduate Course on Numerical Methods
ERIC Educational Resources Information Center
Maase, Eric L.; High, Karen A.
2008-01-01
"Chemical Engineering Modeling" is a first-semester graduate course traditionally taught in a lecture format at Oklahoma State University. The course as taught by the author for the past seven years focuses on numerical and mathematical methods as necessary skills for incoming graduate students. Recent changes to the course have included Visual…
ERIC Educational Resources Information Center
Wisconsin Univ. - Stout, Menomonie. Center for Vocational, Technical and Adult Education.
The teacher directed problem solving activities package contains 17 units: Future Community Design, Let's Build an Elevator, Let's Construct a Catapult, Let's Design a Recreational Game, Let's Make a Hand Fishing Reel, Let's Make a Wall Hanging, Let's Make a Yo-Yo, Marooned in the Past, Metrication, Mousetrap Vehicles, The Multi System…
ERIC Educational Resources Information Center
Moore, Jerilou; Sumrall, William J.
2008-01-01
Exploring our patent system is a great way to engage students in creative problem solving. As a result, the authors designed a teaching unit that uses the study of patents to explore one avenue in which scientists and engineers do science. Specifically, through the development of an idea, students learn how science and technology are connected.…
Universal Design Problem Solving
ERIC Educational Resources Information Center
Sterling, Mary C.
2004-01-01
Universal design is made up of four elements: accessibility, adaptability, aesthetics, and affordability. This article addresses the concept of universal design problem solving through experiential learning for an interior design studio course in postsecondary education. Students' experiences with clients over age 55 promoted an understanding of…
ERIC Educational Resources Information Center
Aznar, Mercedes Martinez; Orcajo, Teresa Ibanez
2005-01-01
A teaching unit on genetics and human inheritance using problem-solving methodology was undertaken with fourth-level Spanish Secondary Education students (15 year olds). The goal was to study certain aspects of the students' learning process (concepts, procedures and attitude) when using this methodology in the school environment. The change…
Solving problems with technology
California at Santa Barbara, University of
Solving problems with technology: Computer Science! by: Saiph and Veronika #12;What is Computer in UNAM #12;Saiph's research I create computer models, conduct interviews and surveys to understand how people use technology. I use the knowledge to create interactive interfaces that enrich the online
He, Haibo
, this book offers a critical review of the problem of imbalanced learning, covering the state of the art with imbalanced data. Solving imbalanced learning problems is critical in numerous data- intensive networked systems, including surveillance, security, Internet, finance, biomedical, defense, and more. Due
Measuring Family Problem Solving: The Family Problem Solving Diary.
ERIC Educational Resources Information Center
Kieren, Dianne K.
The development and use of the family problem-solving diary are described. The diary is one of several indicators and measures of family problem-solving behavior. It provides a record of each person's perception of day-to-day family problems (what the problem concerns, what happened, who got involved, what those involved did, how the problem…
ERIC Educational Resources Information Center
Van Orman, W. Roy
1975-01-01
Describes a problem solving approach for administrative personnel which attempts to put feelings aside and deal with discussion of the facts, generation of solutions, selection of a course of action and actual action to solve the problem. (EJT)
Pollution, pH, and Problem Solving.
ERIC Educational Resources Information Center
Tugel, Joyce B.
1994-01-01
Provides real life assignments that can be used to help students apply chemistry laboratory techniques to solve environmental hazardous waste problems. Numerous diagrams are provided to aid in describing the experiments performed. (ZWH)
Problem Solving, Scaffolding and Learning
ERIC Educational Resources Information Center
Lin, Shih-Yin
2012-01-01
Helping students to construct robust understanding of physics concepts and develop good solving skills is a central goal in many physics classrooms. This thesis examine students' problem solving abilities from different perspectives and explores strategies to scaffold students' learning. In studies involving analogical problem solving…
Fairweather, G.; Vedha-Nayagam, M.
1987-01-01
The use of robust general-purpose user-oriented software packages for solving systems of two-point boundary-value problems for ordinary differential equations (BVODEs) is considered for the solution of BVODEs that commonly arise in the modeling of problems in heat transfer. This investigation involves three packages, DVCPR, COLSYS, and DTPTB, which implement the trapezoidal rule with deferred corrections, the method of spline collocation at Gaussian points, and multiple shooting, respectively. The effectiveness of the packages is demonstrated by examining their performance on a variety of BVODEs that have appeared in the literature.
M. P. Ramirez T.; C. M. A. Robles G.; R. A. Hernandez-Becerril
2012-02-21
Based upon elements of the modern Pseudoanalytic Function Theory, we analyse a new method for numerically approaching the solution of the Dirichlet boundary value problem, corresponding to the two-dimensional Electrical Impedance Equation. The analysis is performed by interpolating piecewise separable-variables conductivity functions, that are eventually used in the numerical calculations in order to obtain finite sets of orthonormal functions, whose linear combinations succeed to approach the imposed boundary conditions. To warrant the effectiveness of the numerical method, we study six different examples of conductivity. The boundary condition for every case is selected considering one exact solution of the Electrical Impedance Equation. The work intends to discuss the contributions of these results into the field of the Electrical Impedance Tomography.
Difficulties in Genetics Problem Solving.
ERIC Educational Resources Information Center
Tolman, Richard R.
1982-01-01
Examined problem-solving strategies of 30 high school students as they solved genetics problems. Proposes a new sequence of teaching genetics based on results: meiosis, sex chromosomes, sex determination, sex-linked traits, monohybrid and dihybrid crosses (humans), codominance (humans), and Mendel's pea experiments. (JN)
Learning Impasses in Problem Solving
NASA Technical Reports Server (NTRS)
Hodgson, J. P. E.
1992-01-01
Problem Solving systems customarily use backtracking to deal with obstacles that they encounter in the course of trying to solve a problem. This paper outlines an approach in which the possible obstacles are investigated prior to the search for a solution. This provides a solution strategy that avoids backtracking.
The Future Problem Solving Program.
ERIC Educational Resources Information Center
Crabbe, Anne B.
1989-01-01
Describes the Future Problem Solving Program, in which students from the U.S. and around the world are tackling some complex challenges facing society, ranging from acid rain to terrorism. The program uses a creative problem solving process developed for business and industry. A sixth-grade toxic waste cleanup project illustrates the process.…
Creative Thinking and Problem Solving.
ERIC Educational Resources Information Center
Lacy, Grace
The booklet considers the nature of creativity in children and examines classroom implications. Among the topics addressed are the following: theories about creativity; research; developments in brain research; the creative process; creative problem solving; the Structure of Intellect Problem Solving (SIPS) model; a rationale for creativity in the…
Problem Solving vis Soap Bubbles
ERIC Educational Resources Information Center
Bader, William A.
1975-01-01
Describes the use of a scientific phenomenon related to the concept of surface tension as an intriguing vehicle to direct attention to useful problem solving techniques. The need for a definite building process in attempts to solve mathematical problems is stressed. (EB)
Zimmerman, R.W.; Bodvarsson, G.S.
1990-01-01
Various analytical and numerical approaches are presented for the study of unsaturated flow processes in the vicinity of the Yucca Mountain, Nevada, the proposed site of an underground radioactive waste repository. Approximate analytical methods are used to study absorption of water from a saturated fracture into the adjacent rock. These solutions are incorporated into a numerical simulator as fracture/matrix interaction terms to treat problems such as flow along a fracture with transverse leakage into the matrix. An automatic fracture/matrix mesh generator is described; it allows for more efficient mesh generation for fractured/porous media, and consequently leads to large savings in computational time and cost. 21 refs., 6 figs.
Solving simultaneous stabilization BMI problems with PENNON
Henrion, Didier
Solving simultaneous stabilization BMI problems with PENNON Didier Henrion Michal Kocvara Michael with respect to bilinear matrix inequalities (BMI). We will present numerical results of the method for a class be formulated as a BMI problem in the parameters of the controller, whose order can be fixed from the outset
ERIC Educational Resources Information Center
De Bono, Edward
A group of children were presented with several tasks, including the invention of a sleep machine and a machine to weigh elephants. The tasks were chosen to involve the children in coping with problems of a distinct character. A study of the children's drawings and interpretations shows that children's thinking ability is not very different from…
NASA Technical Reports Server (NTRS)
1979-01-01
The corrosion problem, it turned out, stemmed from the process called electrolysis. When two different metals are in contact, an electrical potential is set up between them; when the metals are surrounded by an electrolyte, or a conducting medium, the resulting reaction causes corrosion, often very rapid corrosion. In this case the different metals were the copper grounding system and the ferry's aluminum hull; the dockside salt water in which the hull was resting served as the electrolyte. After identifying the source of the trouble, the Ames engineer provided a solution: a new wire-and-rod grounding system made of aluminum like the ferry's hull so there would no longer be dissimilar metals in contact. Ames research on the matter disclosed that the problem was not unique to the Golden Gate ferries. It is being experienced by many pleasure boat operators who are probably as puzzled about it as was the Golden Gate Transit Authority.
NASA Astrophysics Data System (ADS)
Ghez, Richard
2006-04-01
Counting and estimating are no doubt ancient survival skills. And yet, present educational methods tend to downplay these very skills. This breeds senseless innumeracy and social disruption. Jumbling inches with centimeters, for example, can cause a Mars mission to fail. With minor distortion, elementary and high schools (and beyond) teach that all fractions are simple, that all square roots are rational, and that trigonometric functions need be evaluated only for 30, 45, and 60 degrees. We thus inflict threefold damage on our children and students. First, they come to believe that numbers beyond 10 (except for current account deficits) are intuitively inaccessible; second, that answers to all mathematical questions are "formulas"; and third, that the art of estimation merely requires punching keys on a calculator—a dismal sort of black magic. These beliefs I wish to expose in the form of eight short numerical tales.
Functional Knowledge in Problem Solving.
ERIC Educational Resources Information Center
Greeno, James G.; Berger, Daniel
An experiment compared solving of operational and diagnostic problems after different instruction about a fictitious device. Solution of both kinds of problems was facilitated by instruction (1) that focused on functional relations among components of the device or (2) that focused on states of the individual components. For operational problems,…
Irrelevance in Problem Solving
NASA Technical Reports Server (NTRS)
Levy, Alon Y.
1992-01-01
The notion of irrelevance underlies many different works in AI, such as detecting redundant facts, creating abstraction hierarchies and reformulation and modeling physical devices. However, in order to design problem solvers that exploit the notion of irrelevance, either by automatically detecting irrelevance or by being given knowledge about irrelevance, a formal treatment of the notion is required. In this paper we present a general framework for analyzing irrelevance. We discuss several properties of irrelevance and show how they vary in a space of definitions outlined by the framework. We show how irrelevance claims can be used to justify the creation of abstractions thereby suggesting a new view on the work on abstraction.
Solving boiler efficiency problems
1996-06-01
When a boiler is given an efficiency rating, that rating should indicate the relative amount of fuel per unit of steam delivered. A fuel-to-steam efficiency rating, which gives the ratio of fuel used to dry steam produced, is the best indication of true boiler efficiency. Boiler efficiency is obviously affected by a number of variables. First of all, the construction of the boiler itself determines degree of efficiency. The type of heat exchangers, the number of boiler passes, burner/boiler compatibility, repeatability of air/fuel controls, heating surface, and pressure vessel design are all critical parameters. Secondly, site-specific variables must be closely reviewed. For example: Are the number and the size of boilers correct for the actual steam load and its fluctuations? Is the control system adequate for the job? Are leaks in the condensate return system cutting into overall efficiency? Are maintenance arrangements adequate? The paper gives examples of various solutions to problems of boiler efficiency. In each case, improvements to boiler efficiency produced substantial savings.
Students' Problem Solving and Justification
ERIC Educational Resources Information Center
Glass, Barbara; Maher, Carolyn A.
2004-01-01
This paper reports on methods of students' justifications of their solution to a problem in the area of combinatorics. From the analysis of the problem solving of 150 students in a variety of settings from high-school to graduate study, four major forms of reasoning evolved: (1) Justification by Cases, (2) Inductive Argument, (3) Elimination…
Robot, computer problem solving system
NASA Technical Reports Server (NTRS)
Becker, J. D.
1972-01-01
The development of a computer problem solving system is reported that considers physical problems faced by an artificial robot moving around in a complex environment. Fundamental interaction constraints with a real environment are simulated for the robot by visual scan and creation of an internal environmental model. The programming system used in constructing the problem solving system for the simulated robot and its simulated world environment is outlined together with the task that the system is capable of performing. A very general framework for understanding the relationship between an observed behavior and an adequate description of that behavior is included.
Customer-centered problem solving.
Samelson, Q B
1999-11-01
If there is no single best way to attract new customers and retain current customers, there is surely an easy way to lose them: fail to solve the problems that arise in nearly every buyer-supplier relationship, or solve them in an unsatisfactory manner. Yet, all too frequently, companies do just that. Either we deny that a problem exists, we exert all our efforts to pin the blame elsewhere, or we "Band-Aid" the problem instead of fixing it, almost guaranteeing that we will face it again and again. PMID:10623136
Problem? "No Problem!" Solving Technical Contradictions
ERIC Educational Resources Information Center
Kutz, K. Scott; Stefan, Victor
2007-01-01
TRIZ (pronounced TREES), the Russian acronym for the theory of inventive problem solving, enables a person to focus his attention on finding genuine, potential solutions in contrast to searching for ideas that "may" work through a happenstance way. It is a patent database-backed methodology that helps to reduce time spent on the problem,…
Quantum Computing: Solving Complex Problems
DiVincenzo, David [IBM Watson Research Center
2009-09-01
One of the motivating ideas of quantum computation was that there could be a new kind of machine that would solve hard problems in quantum mechanics. There has been significant progress towards the experimental realization of these machines (which I will review), but there are still many questions about how such a machine could solve computational problems of interest in quantum physics. New categorizations of the complexity of computational problems have now been invented to describe quantum simulation. The bad news is that some of these problems are believed to be intractable even on a quantum computer, falling into a quantum analog of the NP class. The good news is that there are many other new classifications of tractability that may apply to several situations of physical interest.
Robot computer problem solving system
NASA Technical Reports Server (NTRS)
Becker, J. D.; Merriam, E. W.
1974-01-01
The conceptual, experimental, and practical phases of developing a robot computer problem solving system are outlined. Robot intelligence, conversion of the programming language SAIL to run under the THNEX monitor, and the use of the network to run several cooperating jobs at different sites are discussed.
Customer Service & Team Problem Solving.
ERIC Educational Resources Information Center
Martin, Sabrina Budasi
This curriculum guide provides materials for a six-session, site-specific training course in customer service and team problem solving for the Claretian Medical Center. The course outline is followed the six lesson plans. Components of each lesson plan include a list of objectives, an outline of activities and discussion topics for the lesson,…
Robot computer problem solving system
NASA Technical Reports Server (NTRS)
Becker, J. D.; Merriam, E. W.
1974-01-01
The conceptual, experimental, and practical aspects of the development of a robot computer problem solving system were investigated. The distinctive characteristics were formulated of the approach taken in relation to various studies of cognition and robotics. Vehicle and eye control systems were structured, and the information to be generated by the visual system is defined.
Air PSE (Problem Solving Environment)
Nizkorodov, Sergey
emissions or decreasing car use. An air pollution model is never exact in its attempt to simulatePSE - 1 Air PSE (Problem Solving Environment) MODELLING OF AIR POLLUTION IN THE LOS ANGELES BASIN COMPUTER MODELS An air pollution model is a computer program that computes how the different chemical
Theoretical and Philosophical Perspectives to Problem Solving.
ERIC Educational Resources Information Center
Sherman, Thomas M.; And Others
1988-01-01
Five articles explore various theoretical aspects of problems and problem solving skills. Highlights include strategies to learn problem solving skills; knowledge structures; metacognition; behavioral processes and cognitive psychology; erotetic logic; creativity as an aspect of computer problem solving; and programing as a problem-solving…
Comprehension and computation in Bayesian problem solving
Johnson, Eric D.; Tubau, Elisabet
2015-01-01
Humans have long been characterized as poor probabilistic reasoners when presented with explicit numerical information. Bayesian word problems provide a well-known example of this, where even highly educated and cognitively skilled individuals fail to adhere to mathematical norms. It is widely agreed that natural frequencies can facilitate Bayesian inferences relative to normalized formats (e.g., probabilities, percentages), both by clarifying logical set-subset relations and by simplifying numerical calculations. Nevertheless, between-study performance on “transparent” Bayesian problems varies widely, and generally remains rather unimpressive. We suggest there has been an over-focus on this representational facilitator (i.e., transparent problem structures) at the expense of the specific logical and numerical processing requirements and the corresponding individual abilities and skills necessary for providing Bayesian-like output given specific verbal and numerical input. We further suggest that understanding this task-individual pair could benefit from considerations from the literature on mathematical cognition, which emphasizes text comprehension and problem solving, along with contributions of online executive working memory, metacognitive regulation, and relevant stored knowledge and skills. We conclude by offering avenues for future research aimed at identifying the stages in problem solving at which correct vs. incorrect reasoners depart, and how individual differences might influence this time point. PMID:26283976
On Spurious Numerics in Solving Reactive Equations
NASA Technical Reports Server (NTRS)
Kotov, D. V; Yee, H. C.; Wang, W.; Shu, C.-W.
2013-01-01
The objective of this study is to gain a deeper understanding of the behavior of high order shock-capturing schemes for problems with stiff source terms and discontinuities and on corresponding numerical prediction strategies. The studies by Yee et al. (2012) and Wang et al. (2012) focus only on solving the reactive system by the fractional step method using the Strang splitting (Strang 1968). It is a common practice by developers in computational physics and engineering simulations to include a cut off safeguard if densities are outside the permissible range. Here we compare the spurious behavior of the same schemes by solving the fully coupled reactive system without the Strang splitting vs. using the Strang splitting. Comparison between the two procedures and the effects of a cut off safeguard is the focus the present study. The comparison of the performance of these schemes is largely based on the degree to which each method captures the correct location of the reaction front for coarse grids. Here "coarse grids" means standard mesh density requirement for accurate simulation of typical non-reacting flows of similar problem setup. It is remarked that, in order to resolve the sharp reaction front, local refinement beyond standard mesh density is still needed.
Heuristic Kalman algorithm for solving optimization problems.
Toscano, Rosario; Lyonnet, Patrick
2009-10-01
The main objective of this paper is to present a new optimization approach, which we call heuristic Kalman algorithm (HKA). We propose it as a viable approach for solving continuous nonconvex optimization problems. The principle of the proposed approach is to consider explicitly the optimization problem as a measurement process designed to produce an estimate of the optimum. A specific procedure, based on the Kalman method, was developed to improve the quality of the estimate obtained through the measurement process. The efficiency of HKA is evaluated in detail through several nonconvex test problems, both in the unconstrained and constrained cases. The results are then compared to those obtained via other metaheuristics. These various numerical experiments show that the HKA has very interesting potentialities for solving nonconvex optimization problems, notably concerning the computation time and the success ratio. PMID:19336312
The Problem Life Solves (Invited)
NASA Astrophysics Data System (ADS)
Shock, E.
2013-12-01
After forming, planets start the long process of dissipating energy into space. Early on, accretionary processes provide sufficient kinetic energy to raise temperatures enough to drive chemical systems rapidly toward equilibrium, maximizing the release of chemical energy. Eventually heat is dissipated, temperatures drop, and outer portions of planets cool enough to slow the rates of chemical reactions. As reaction rates slow to the scale of geologic time, chemical energy becomes trapped in assemblages of planetary materials far from equilibrium. Numerous examples are provided by chondritic meteorites, which show that activation energy barriers allow chemical energy to remain trapped for most of the age of the solar system even if heat dissipation is efficient -- and perhaps as a direct consequence. Activation energies that inhibit favorable reactions can be overcome by catalysis, which permits chemical systems to attain lower energy states. Catalysis in planets serves to continue the release of energy into space begun by heat dissipation. This implies that there is an overall thermodynamic drive for catalysis to appear as planets cool. Reasons why catalysis emerges in some cases and not others may depend on interactions of cooling rates and compositions but the specifics are murky at present. Life is a particularly efficient catalyst, and its emergence on a planet helps solve the problem generated by the catastrophic decrease in reaction rates during cooling. The single example we have of life on Earth got its start catalyzing oxidation-reduction reactions arranged in states far from equilibrium by geologic processes. On the pre-photosynthetic Earth the boldest biosignatures were redox processes occurring at rates that could only be explained by catalysis, and specifically by catalytic processes that have no abiotic mechanism. Biologically enhanced rates of redox reactions persist to the present, and maintain the biogeochemical cycles that permit the photosynthetic primary production that is now Earth's most aggressively profound signature of life. But, phototrophy may be far more rare than the chemotrophy on which it depends, and from which it apparently emerges. Consequently, the search for biosignatures on other planets will become the search for reaction rates that can not be explained by abiotic processes. This means that the search for extraterrestrial life will depend on remote methods of determining rates of oxidation-reduction reactions, and that much needs to be understood about abiotic catalysis of redox processes to avoid false positives.
Solving infinite-dimensional optimization problems by polynomial approximation
Glineur, François
2010/29 Solving infinite-dimensional optimization problems by polynomial approximation Olivier DISCUSSION PAPER 2010/29 Solving infinite-dimensional optimization problems by polynomial approximation of convex infinite-dimensional optimization problems using a numerical approximation method that does
Solving the Dark Matter Problem
Baltz, Ted
2009-09-01
Cosmological observations have firmly established that the majority of matter in the universe is of an unknown type, called 'dark matter'. A compelling hypothesis is that the dark matter consists of weakly interacting massive particles (WIMPs) in the mass range around 100 GeV. If the WIMP hypothesis is correct, such particles could be created and studied at accelerators. Furthermore they could be directly detected as the primary component of our galaxy. Solving the dark matter problem requires that the connection be made between the two. We describe some theoretical and experimental avenues that might lead to this connection.
Disciplinary Foundations for Solving Interdisciplinary Scientific Problems
ERIC Educational Resources Information Center
Zhang, Dongmei; Shen, Ji
2015-01-01
Problem-solving has been one of the major strands in science education research. But much of the problem-solving research has been conducted on discipline-based contexts; little research has been done on how students, especially individuals, solve interdisciplinary problems. To understand how individuals reason about interdisciplinary problems, we…
Parallel architectures for problem solving
Kale, L.V.
1985-01-01
The problem of exploiting a large amount of hardware in parallel is one of the biggest challenges facing computer science today. The problem of designing parallel architectures and execution methods for solving large combinatorially explosive problems is studied here. Such problems typically do not have a regular structure that can be readily exploited for parallel execution. Prolog is chosen as a language to specify computation because it is seen as a language that is conceptually simple as well as amenable to parallel interpretation. A tree representation of Prolog computation called the REDUCE-OR tree is described as an alternative to the AND-OR tree representation. A process model based on this representation is developed; it captures more parallelism than most other proposed models. A class of bus architectures is proposed to implement the process model. A general model of parallel Prolog systems is developed and the proposed architectures examined in its framework. One of the important features of the proposed architectures is that they limit contracting of work to a close neighborhood. Various interconnection networks are analyzed, and a new one called the lattice-mesh is proposed. The lattice-mesh improves on the square grid of buses, while retaining its linear-area property. An extensive simulation framework was built. Results of some of the experiments conducted on the simulation system are given.
Robot computer problem solving system
NASA Technical Reports Server (NTRS)
Merriam, E. W.; Becker, J. D.
1973-01-01
A robot computer problem solving system which represents a robot exploration vehicle in a simulated Mars environment is described. The model exhibits changes and improvements made on a previously designed robot in a city environment. The Martian environment is modeled in Cartesian coordinates; objects are scattered about a plane; arbitrary restrictions on the robot's vision have been removed; and the robot's path contains arbitrary curves. New environmental features, particularly the visual occlusion of objects by other objects, were added to the model. Two different algorithms were developed for computing occlusion. Movement and vision capabilities of the robot were established in the Mars environment, using LISP/FORTRAN interface for computational efficiency. The graphical display program was redesigned to reflect the change to the Mars-like environment.
Teaching DICOM by problem solving.
Noumeir, Rita; Pambrun, Jean-François
2012-10-01
The Digital Imaging and Communications in Medicine (DICOM) is the standard for encoding and communicating medical imaging information. It is used in radiology as well as in many other imaging domains such as ophthalmology, dentistry, and pathology. DICOM information objects are used to encode medical images or information about the images. Their usage outside of the imaging department is increasing, especially with the sharing of medical images within Electronic Health Record systems. However, learning DICOM is long and difficult because it defines and uses many specific abstract concepts that relate to each other. In this paper, we present an approach, based on problem solving, for teaching DICOM as part of a graduate course on healthcare information. The proposed approach allows students with diversified background and no software development experience to grasp a large breadth of knowledge in a very short time. PMID:22476384
Kindergarten Students Solving Mathematical Word Problems
ERIC Educational Resources Information Center
Johnson, Nickey Owen
2013-01-01
The purpose of this study was to explore problem solving with kindergarten students. This line of inquiry is highly significant given that Common Core State Standards emphasize deep, conceptual understanding in mathematics as well as problem solving in kindergarten. However, there is little research on problem solving with kindergarten students.…
The Important Thing about Teaching Problem Solving
ERIC Educational Resources Information Center
Roberts, Sally K.
2010-01-01
The author teaches a content course in problem solving for middle school teachers. During the course, teacher candidates have the opportunity to confront their insecurities as they actively engage in solving math problems using a variety of strategies. As the semester progresses, they add new strategies to their problem-solving arsenal and…
LEGO Robotics: An Authentic Problem Solving Tool?
ERIC Educational Resources Information Center
Castledine, Alanah-Rei; Chalmers, Chris
2011-01-01
With the current curriculum focus on correlating classroom problem solving lessons to real-world contexts, are LEGO robotics an effective problem solving tool? This present study was designed to investigate this question and to ascertain what problem solving strategies primary students engaged with when working with LEGO robotics and whether the…
Fibonacci's Triangle: A Vehicle for Problem Solving.
ERIC Educational Resources Information Center
Ouellette, Hugh
1979-01-01
A method for solving certain types of problems is illustrated by problems related to Fibonacci's triangle. The method involves pattern recognition, generalizing, algebraic manipulation, and mathematical induction. (MP)
Naive Problem Solving and Naive Mathematics
Chapman, David
AI problem solvers have almost always been given a complete and correct axiomatization of their problem domain and of the operators available to change it. Here I discuss a paradigm for problem solving in which the problem ...
Community-powered problem solving.
Gouillart, Francis; Billings, Douglas
2013-04-01
Traditionally, companies have managed their constituencies with specific processes: marketing to customers, procuring from vendors, developing HR policies for employees, and so on. The problem is, such processes focus on repeatability and compliance, so they can lead to stagnation. Inviting your constituencies to collectively help you solve problems and exploit opportunities--"co-creation"--is a better approach. It allows you to continually tap the skills and insights of huge numbers of stakeholders and develop new ways to produce value for all. The idea is to provide stakeholders with platforms (physical and digital forums) on which they can interact, get them to start exploring new experiences and connections, and let the system grow organically. A co-creation initiative by a unit of Becton, Dickinson and Company demonstrates how this works. A global leader in syringes, BD set out to deepen its ties with hospital customers and help them reduce the incidence of infections from unsafe injection and syringe disposal practices. The effort began with a cross-functional internal team, brought in the hospital procurement and supply managers BD had relationships with, and then reached out to hospitals' infection-prevention and occupational health leaders. Eventually product designers, nurses, sustainability staffers, and even hospital CFOs were using the platform, contributing data that generated new best practices and reduced infections. PMID:23593769
Analog Processor To Solve Optimization Problems
NASA Technical Reports Server (NTRS)
Duong, Tuan A.; Eberhardt, Silvio P.; Thakoor, Anil P.
1993-01-01
Proposed analog processor solves "traveling-salesman" problem, considered paradigm of global-optimization problems involving routing or allocation of resources. Includes electronic neural network and auxiliary circuitry based partly on concepts described in "Neural-Network Processor Would Allocate Resources" (NPO-17781) and "Neural Network Solves 'Traveling-Salesman' Problem" (NPO-17807). Processor based on highly parallel computing solves problem in significantly less time.
Learning to Automatically Solve Algebra Word Problems
Kushman, Nate
We present an approach for automatically learning to solve algebra word problems. Our algorithm reasons across sentence boundaries to construct and solve a system of linear equations, while simultaneously recovering ...
Task Variables in Mathematical Problem Solving.
ERIC Educational Resources Information Center
Goldin, Gerald A., Ed.; McClintock, C. Edwin, Ed.
A framework for research in problem solving is provided by categorizing and defining variables describing problem tasks. A model is presented in an article by Kulm for the classification of task variables into broad categories. The model attempts to draw realtionships between these categories of task variables and the stages of problem solving…
Could HPS Improve Problem-Solving?
ERIC Educational Resources Information Center
Coelho, Ricardo Lopes
2013-01-01
It is generally accepted nowadays that History and Philosophy of Science (HPS) is useful in understanding scientific concepts, theories and even some experiments. Problem-solving strategies are a significant topic, since students' careers depend on their skill to solve problems. These are the reasons for addressing the question of whether problem…
Solving large sparse eigenvalue problems on supercomputers
NASA Technical Reports Server (NTRS)
Philippe, Bernard; Saad, Youcef
1988-01-01
An important problem in scientific computing consists in finding a few eigenvalues and corresponding eigenvectors of a very large and sparse matrix. The most popular methods to solve these problems are based on projection techniques on appropriate subspaces. The main attraction of these methods is that they only require the use of the matrix in the form of matrix by vector multiplications. The implementations on supercomputers of two such methods for symmetric matrices, namely Lanczos' method and Davidson's method are compared. Since one of the most important operations in these two methods is the multiplication of vectors by the sparse matrix, methods of performing this operation efficiently are discussed. The advantages and the disadvantages of each method are compared and implementation aspects are discussed. Numerical experiments on a one processor CRAY 2 and CRAY X-MP are reported. Possible parallel implementations are also discussed.
Problem-Solving Test: Pyrosequencing
ERIC Educational Resources Information Center
Szeberenyi, Jozsef
2013-01-01
Terms to be familiar with before you start to solve the test: Maxam-Gilbert sequencing, Sanger sequencing, gel electrophoresis, DNA synthesis reaction, polymerase chain reaction, template, primer, DNA polymerase, deoxyribonucleoside triphosphates, orthophosphate, pyrophosphate, nucleoside monophosphates, luminescence, acid anhydride bond,…
Common Core: Solve Math Problems
ERIC Educational Resources Information Center
Strom, Erich
2012-01-01
The new common core standards for mathematics demand that students (and teachers!) exhibit deeper conceptual understanding. That's music to the ears of education professor John Tapper, who says teachers have overemphasized teaching procedures--and getting right answers. In his new book, "Solving for Why," he makes a powerful case for moving beyond…
Characteristics of problem solving success in physics
Wallace, Marsali Beth
2014-06-28
Skills in problem solving, including finding and applying the appropriate knowledge to a problem, are important learning outcomes from the completion of a Physics degree at University. This thesis investigates the ...
How Not to Solve Ethical Problems
Putnam, Hilary
1983-01-01
=UTF-8 HOW NOT TO SOLVE ETHICAL PROBLEMS by HILARY PUTNAM Professor of Philosophy Harvard University The Lindley Lecture, University of Kansas, March 10, 1983 @ Copyright 1~83 by the Depanment of Philosophy University of Kansas How... Not to Solve Ethical Problems Hilary Putnam I. Philosophers today are as fond as ever of apriori arguments with ethical conclusions. One reason such arguments are always unsatisfying is that they always prove too much; when a philosopher 'solves...
Metacognition: Student Reflections on Problem Solving
ERIC Educational Resources Information Center
Wismath, Shelly; Orr, Doug; Good, Brandon
2014-01-01
Twenty-first century teaching and learning focus on the fundamental skills of critical thinking and problem solving, creativity and innovation, and collaboration and communication. Metacognition is a crucial aspect of both problem solving and critical thinking, but it is often difficult to get students to engage in authentic metacognitive…
Teaching and Learning through Problem Solving
ERIC Educational Resources Information Center
Ollerton, Mike
2007-01-01
In this article, the author relates some problem solving work with primary schools to Department for Children, Schools, and Families (DfES) support. In four primary schools in the West Midlands, the focus was teaching mathematics through problem solving, based on materials published on the DfES "standards" website. The author noticed the way…
Mathematical Problem Solving through Sequential Process Analysis
ERIC Educational Resources Information Center
Codina, A.; Cañadas, M. C.; Castro, E.
2015-01-01
Introduction: The macroscopic perspective is one of the frameworks for research on problem solving in mathematics education. Coming from this perspective, our study addresses the stages of thought in mathematical problem solving, offering an innovative approach because we apply sequential relations and global interrelations between the different…
Taking "From Scratch" out of Problem Solving
ERIC Educational Resources Information Center
Brown, Wayne
2007-01-01
Solving problems and creating processes and procedures from the ground up has long been part of the IT department's way of operating. IT staffs will continue to encounter new problems to solve and new technologies to be implemented. They also must involve their constituents in the creation of solutions. Nonetheless, for many issues they no longer…
A Multivariate Model of Physics Problem Solving
ERIC Educational Resources Information Center
Taasoobshirazi, Gita; Farley, John
2013-01-01
A model of expertise in physics problem solving was tested on undergraduate science, physics, and engineering majors enrolled in an introductory-level physics course. Structural equation modeling was used to test hypothesized relationships among variables linked to expertise in physics problem solving including motivation, metacognitive planning,…
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…
Emotion dysregulation, problem-solving, and hopelessness.
Vatan, Sevginar; Lester, David; Gunn, John F
2014-04-01
A sample of 87 Turkish undergraduate students was administered scales to measure hopelessness, problem-solving skills, emotion dysregulation, and psychiatric symptoms. All of the scores from these scales were strongly associated. In a multiple regression, hopelessness scores were predicted by poor problem-solving skills and emotion dysregulation. PMID:24897914
Dynamic Problem Solving: A New Assessment Perspective
ERIC Educational Resources Information Center
Greiff, Samuel; Wustenberg, Sascha; Funke, Joachim
2012-01-01
This article addresses two unsolved measurement issues in dynamic problem solving (DPS) research: (a) unsystematic construction of DPS tests making a comparison of results obtained in different studies difficult and (b) use of time-intensive single tasks leading to severe reliability problems. To solve these issues, the MicroDYN approach is…
Solving Problems in Genetics II: Conceptual Restructuring
ERIC Educational Resources Information Center
Orcajo, Teresa Ibanez; Aznar, Mercedes Martinez
2005-01-01
This paper presents the results of part of an investigation carried out with fourth-level Spanish secondary education students (15 years old), in which we implemented a teaching unit based on problem-solving methodology as an investigation to teach genetics and human inheritance curricular contents. By solving open problems, the students…
Scaffolding Online Argumentation during Problem Solving
ERIC Educational Resources Information Center
Oh, S.; Jonassen, D. H.
2007-01-01
In this study, constraint-based argumentation scaffolding was proposed to facilitate online argumentation performance and ill-structured problem solving during online discussions. In addition, epistemological beliefs were presumed to play a role in solving ill-structured diagnosis-solution problems. Constraint-based discussion boards were…
Problem Solving & Comprehension. Fourth Edition.
ERIC Educational Resources Information Center
Whimbey, Arthur; Lochhead, Jack
This book shows how to increase one's power to analyze and comprehend problems. First, it outlines and illustrates the methods that good problem solvers use in attacking complex ideas. Then it gives some practice in applying these methods to a variety of questions in comprehension and reasoning. Chapters include: (1) "Test Your Mind--See How It…
ERIC Educational Resources Information Center
Shure, Myrna B.
Designed for teachers of intermediate elementary grades to enable children to learn how to solve the problems they have with others, the underlying goal of the program is to help children develop problem-solving skills so that they learn how to think, not what to think. The interpersonal cognitive problem-solving (ICPS) program includes both…
The Cyclic Nature of Problem Solving: An Emergent Multidimensional Problem-Solving Framework
ERIC Educational Resources Information Center
Carlson, Marilyn P.; Bloom, Irene
2005-01-01
This paper describes the problem-solving behaviors of 12 mathematicians as they completed four mathematical tasks. The emergent problem-solving framework draws on the large body of research, as grounded by and modified in response to our close observations of these mathematicians. The resulting "Multidimensional Problem-Solving Framework" has four…
Solving the Tulsa ozone problem
Wagner, K.K.; Wilson, J.D.; Gibeau, E.
1998-12-31
Local governments and interested parties in Tulsa, Oklahoma are planning actions to keep Tulsa in compliance with the ozone ambient air quality standard. Based on recent data Tulsa exceeds the new eight hour average national ambient air quality standard for ozone and occasionally exceeds the previous one hour standard. Currently, Tulsa is in attainment of the former one-hour ozone standard. The first planning step is to integrate the existing information about Tulsa`s ozone problem. Prior studies of Tulsa ozone are reviewed. Tulsa`s recent air quality and meteorological monitoring are evaluated. Emission inventory estimates are assessed. Factors identified with Tulsa`s ozone problem are the transport of ozone and precursor gases, a possible role for biogenic emissions, and a simplistic ozone forecasting method. The integration of information found that current air quality and meteorological monitoring is meager. Observations of volatile organic compounds and NO{sub y} are absent. Prior intensive studies in 1977 and 1985 are more than ten years old and lack relevance to today`s problem. Emission inventory estimates are scarce and uncertain. The current knowledge base was judged inadequate to properly characterize the present ozone problem. Actions are recommended to enlarge the information base to address Tulsa`s ozone problem.
Cognitive Problems (Disorientation, Perception, Attention, Learning and Problem-Solving)
... SOMEONE WITH EMOTIONAL & BEHAVIORAL NEEDS Cognitive Problems (Disorientation, Perception, Attention, Learning & Problem-Solving) Cognition is the process ... What Are Some Other Cognitive Problems? What Is Perception? Remember What Is Attention or Concentration? More Resources ...
Lesion mapping of social problem solving
Colom, Roberto; Paul, Erick J.; Chau, Aileen; Solomon, Jeffrey; Grafman, Jordan H.
2014-01-01
Accumulating neuroscience evidence indicates that human intelligence is supported by a distributed network of frontal and parietal regions that enable complex, goal-directed behaviour. However, the contributions of this network to social aspects of intellectual function remain to be well characterized. Here, we report a human lesion study (n = 144) that investigates the neural bases of social problem solving (measured by the Everyday Problem Solving Inventory) and examine the degree to which individual differences in performance are predicted by a broad spectrum of psychological variables, including psychometric intelligence (measured by the Wechsler Adult Intelligence Scale), emotional intelligence (measured by the Mayer, Salovey, Caruso Emotional Intelligence Test), and personality traits (measured by the Neuroticism-Extraversion-Openness Personality Inventory). Scores for each variable were obtained, followed by voxel-based lesion–symptom mapping. Stepwise regression analyses revealed that working memory, processing speed, and emotional intelligence predict individual differences in everyday problem solving. A targeted analysis of specific everyday problem solving domains (involving friends, home management, consumerism, work, information management, and family) revealed psychological variables that selectively contribute to each. Lesion mapping results indicated that social problem solving, psychometric intelligence, and emotional intelligence are supported by a shared network of frontal, temporal, and parietal regions, including white matter association tracts that bind these areas into a coordinated system. The results support an integrative framework for understanding social intelligence and make specific recommendations for the application of the Everyday Problem Solving Inventory to the study of social problem solving in health and disease. PMID:25070511
Solving Einstein's equation numerically on manifolds with arbitrary spatial topologies
Lindblom, Lee
Solving Einstein's equation numerically on manifolds with arbitrary spatial topologies Lee Lindblom develops a method for solving Einstein's equation numerically on multicube representations of manifolds to Einstein's equation on manifolds with arbitrary toplogical structures. A new covariant, first- order
New computer program solves wide variety of heat flow problems
NASA Technical Reports Server (NTRS)
Almond, J. C.
1966-01-01
Boeing Engineering Thermal Analyzer /BETA/ computer program uses numerical methods to provide accurate heat transfer solutions to a wide variety of heat flow problems. The program solves steady-state and transient problems in almost any situation that can be represented by a resistance-capacitance network.
Response Mode Effects on Computer Based Problem Solving.
ERIC Educational Resources Information Center
Sustik, Joan M.; Brown, Bobby R.
Assessments were made of the impact of various overt response modes on the problem-solving process. The Luchins Water Jar Problems were presented to undergraduate university students via interactive cathode ray tube computer terminals under four response mode conditions: Mnemonic Code, Multiple Choice (MC), Numerical List, and Constructed Response…
Robot, computer problem solving system
NASA Technical Reports Server (NTRS)
Becker, J. D.; Merriam, E. W.
1973-01-01
The TENEX computer system, the ARPA network, and computer language design technology was applied to support the complex system programs. By combining the pragmatic and theoretical aspects of robot development, an approach is created which is grounded in realism, but which also has at its disposal the power that comes from looking at complex problems from an abstract analytical point of view.
Environmental problem-solving: Psychosocial factors
NASA Astrophysics Data System (ADS)
Miller, Alan
1982-11-01
This is a study of individual differences in environmental problem-solving, the probable roots of these differences, and their implications for the education of resource professionals. A group of student Resource Managers were required to elaborate their conception of a complex resource issue (Spruce Budworm management) and to generate some ideas on management policy. Of particular interest was the way in which subjects dealt with the psychosocial aspects of the problem. A structural and content analysis of responses indicated a predominance of relatively compartmentalized styles, a technological orientation, and a tendency to ignore psychosocial issues. A relationship between problem-solving behavior and personal (psychosocial) style was established which, in the context of other evidence, suggests that problem-solving behavior is influenced by more deep seated personality factors. The educational implication drawn was that problem-solving cannot be viewed simply as an intellectual-technical activity but one that involves, and requires the education of, the whole person.
Could HPS Improve Problem-Solving?
NASA Astrophysics Data System (ADS)
Coelho, Ricardo Lopes
2013-05-01
It is generally accepted nowadays that History and Philosophy of Science (HPS) is useful in understanding scientific concepts, theories and even some experiments. Problem-solving strategies are a significant topic, since students' careers depend on their skill to solve problems. These are the reasons for addressing the question of whether problem solving could be improved by means of HPS. Three typical problems in introductory courses of mechanics—the inclined plane, the simple pendulum and the Atwood machine—are taken as the object of the present study. The solving strategies of these problems in the eighteenth and nineteenth century constitute the historical component of the study. Its philosophical component stems from the foundations of mechanics research literature. The use of HPS leads us to see those problems in a different way. These different ways can be tested, for which experiments are proposed. The traditional solving strategies for the incline and pendulum problems are adequate for some situations but not in general. The recourse to apparent weights in the Atwood machine problem leads us to a new insight and a solving strategy for composed Atwood machines. Educational implications also concern the development of logical thinking by means of the variety of lines of thought provided by HPS.
Problem Solving through an Optimization Problem in Geometry
ERIC Educational Resources Information Center
Poon, Kin Keung; Wong, Hang-Chi
2011-01-01
This article adapts the problem-solving model developed by Polya to investigate and give an innovative approach to discuss and solve an optimization problem in geometry: the Regiomontanus Problem and its application to football. Various mathematical tools, such as calculus, inequality and the properties of circles, are used to explore and reflect…
OPTIMIZATION TECHNIQUES FOR SOLVING BASIS PURSUIT PROBLEMS
Sivaramakrishnan, Kartik K.
. MATLAB code for minimizing the 1-norm of x . . . . . . . . . . . . . . . . 22 B. MATLAB code for minimizing the 2-norm of x . . . . . . . . . . . . . . . . 24 iii #12;C. MATLAB codes for solving data . . . . . . . . . . . . . . . . . . . . . . . . 28 D. MATLAB codes for solving signal denoising problems using BP . . . . . . 29 iv #12;LIST
Conceptual problem solving in high school physics
NASA Astrophysics Data System (ADS)
Docktor, Jennifer L.; Strand, Natalie E.; Mestre, José P.; Ross, Brian H.
2015-12-01
Problem solving is a critical element of learning physics. However, traditional instruction often emphasizes the quantitative aspects of problem solving such as equations and mathematical procedures rather than qualitative analysis for selecting appropriate concepts and principles. This study describes the development and evaluation of an instructional approach called Conceptual Problem Solving (CPS) which guides students to identify principles, justify their use, and plan their solution in writing before solving a problem. The CPS approach was implemented by high school physics teachers at three schools for major theorems and conservation laws in mechanics and CPS-taught classes were compared to control classes taught using traditional problem solving methods. Information about the teachers' implementation of the approach was gathered from classroom observations and interviews, and the effectiveness of the approach was evaluated from a series of written assessments. Results indicated that teachers found CPS easy to integrate into their curricula, students engaged in classroom discussions and produced problem solutions of a higher quality than before, and students scored higher on conceptual and problem solving measures.
Productive Dialog During Collaborative Problem Solving
Hausmann, Robert G M; van de Sande, Carla; VanLehn, Kurt
2008-01-01
Collaboration is an important problem-solving skill; however, novice collaboration generally benefits from some kind of support. One possibility for supporting productive conversations between collaborators is to encourage pairs of students to provide explanations for their problem-solving steps. To test this possibility, we contrasted individuals who were instructed to self-explain problem-solving steps with dyads who were instructed to jointly explain problem-solving steps in the context of an intelligent tutoring system (ITS). The results suggest that collaboratively developed explanations prompted students to remediate their errors in dialog, as opposed to relying on the ITS for assistance, which is provided in the form of on-demand hints. The paper concludes with a discussion about implications for combining proven learning interventions.
Innovative problem solving by wild spotted hyenas.
Benson-Amram, Sarah; Holekamp, Kay E
2012-10-01
Innovative animals are those able to solve novel problems or invent novel solutions to existing problems. Despite the important ecological and evolutionary consequences of innovation, we still know very little about the traits that vary among individuals within a species to make them more or less innovative. Here we examine innovative problem solving by spotted hyenas (Crocuta crocuta) in their natural habitat, and demonstrate for the first time in a non-human animal that those individuals exhibiting a greater diversity of initial exploratory behaviours are more successful problem solvers. Additionally, as in earlier work, we found that neophobia was a critical inhibitor of problem-solving success. Interestingly, although juveniles and adults were equally successful in solving the problem, juveniles were significantly more diverse in their initial exploratory behaviours, more persistent and less neophobic than were adults. We found no significant effects of social rank or sex on success, the diversity of initial exploratory behaviours, behavioural persistence or neophobia. Our results suggest that the diversity of initial exploratory behaviours, akin to some measures of human creativity, is an important, but largely overlooked, determinant of problem-solving success in non-human animals. PMID:22874748
NASA Astrophysics Data System (ADS)
Adams, Wendy Kristine
The purpose of my research was to produce a problem solving evaluation tool for physics. To do this it was necessary to gain a thorough understanding of how students solve problems. Although physics educators highly value problem solving and have put extensive effort into understanding successful problem solving, there is currently no efficient way to evaluate problem solving skill. Attempts have been made in the past; however, knowledge of the principles required to solve the subject problem are so absolutely critical that they completely overshadow any other skills students may use when solving a problem. The work presented here is unique because the evaluation tool removes the requirement that the student already have a grasp of physics concepts. It is also unique because I picked a wide range of people and picked a wide range of tasks for evaluation. This is an important design feature that helps make things emerge more clearly. This dissertation includes an extensive literature review of problem solving in physics, math, education and cognitive science as well as descriptions of studies involving student use of interactive computer simulations, the design and validation of a beliefs about physics survey and finally the design of the problem solving evaluation tool. I have successfully developed and validated a problem solving evaluation tool that identifies 44 separate assets (skills) necessary for solving problems. Rigorous validation studies, including work with an independent interviewer, show these assets identified by this content-free evaluation tool are the same assets that students use to solve problems in mechanics and quantum mechanics. Understanding this set of component assets will help teachers and researchers address problem solving within the classroom.
Solving the Optimal Trading Trajectory Problem Using a Quantum Annealer
Gili Rosenberg; Poya Haghnegahdar; Phil Goddard; Peter Carr; Kesheng Wu; Marcos López de Prado
2015-08-28
We solve a multi-period portfolio optimization problem using D-Wave Systems' quantum annealer. We derive a formulation of the problem, discuss several possible integer encoding schemes, and present numerical examples that show high success rates. The formulation incorporates transaction costs (including permanent and temporary market impact), and, significantly, the solution does not require the inversion of a covariance matrix. The discrete multi-period portfolio optimization problem we solve is significantly harder than the continuous variable problem. We present insight into how results may be improved using suitable software enhancements, and why current quantum annealing technology limits the size of problem that can be successfully solved today. The formulation presented is specifically designed to be scalable, with the expectation that as quantum annealing technology improves, larger problems will be solvable using the same techniques.
Reinventing the Wheel: Design and Problem Solving
ERIC Educational Resources Information Center
Blasetti, Sean M.
2010-01-01
This article describes a design problem that not only takes students through the technological design process, but it also provides them with real-world problem-solving experience as it relates to the manufacturing and engineering fields. It begins with a scenario placing the student as a custom wheel designer for an automotive manufacturing…
Using Programmable Calculators to Solve Electrostatics Problems.
ERIC Educational Resources Information Center
Yerian, Stephen C.; Denker, Dennis A.
1985-01-01
Provides a simple routine which allows first-year physics students to use programmable calculators to solve otherwise complex electrostatic problems. These problems involve finding electrostatic potential and electric field on the axis of a uniformly charged ring. Modest programing skills are required of students. (DH)
Complex Problem Solving in a Workplace Setting.
ERIC Educational Resources Information Center
Middleton, Howard
2002-01-01
Studied complex problem solving in the hospitality industry through interviews with six office staff members and managers. Findings show it is possible to construct a taxonomy of problem types and that the most common approach can be termed "trial and error." (SLD)
Pose and Solve Varignon Converse Problems
ERIC Educational Resources Information Center
Contreras, José N.
2014-01-01
The activity of posing and solving problems can enrich learners' mathematical experiences because it fosters a spirit of inquisitiveness, cultivates their mathematical curiosity, and deepens their views of what it means to do mathematics. To achieve these goals, a mathematical problem needs to be at the appropriate level of difficulty,…
Problem-Solving Competitions: Just the Solution!
ERIC Educational Resources Information Center
Riley, Tracy L.; Karnes, Frances A.
2005-01-01
This article describes competitions across a range of curricular areas that develop students' problem solving skills by setting authentic, real-world tasks. As individuals or members of a team, students in these competitions are challenged with finding solutions to problems faced not only in today's scientific and technological world, but also in…
Using Bibliotherapy To Teach Problem Solving.
ERIC Educational Resources Information Center
Forgan, James W.
2002-01-01
This article discusses how students with high-incidence disabilities can benefit from using bibliotherapy by learning to become proactive problem solvers. A sample lesson plan is presented based on a teaching framework for bibliotherapy and problem solving that contains the elements of prereading, guided reading, post-reading discussion, and a…
The Functional Equivalence of Problem Solving Skills
ERIC Educational Resources Information Center
Simon, Herbert A.
1975-01-01
This analysis of solutions to the Tower of Hanoi Problem underscores the importance of subject-by-subject analysis of "What is learned" in understanding human behavior in problem-solving situations, and provides a technique for describing subjects' task performance programs in detail. (Author/BJG)
Using CAS to Solve Classical Mathematics Problems
ERIC Educational Resources Information Center
Burke, Maurice J.; Burroughs, Elizabeth A.
2009-01-01
Historically, calculus has displaced many algebraic methods for solving classical problems. This article illustrates an algebraic method for finding the zeros of polynomial functions that is closely related to Newton's method (devised in 1669, published in 1711), which is encountered in calculus. By exploring this problem, precalculus students…
Problem solving and decisionmaking: An integration
NASA Technical Reports Server (NTRS)
Dieterly, D. L.
1980-01-01
An attempt was made to redress a critical fault of decisionmaking and problem solving research-a lack of a standard method to classify problem or decision states or conditions. A basic model was identified and expanded to indicate a possible taxonomy of conditions which may be used in reviewing previous research or for systematically pursuing new research designs. A generalization of the basic conditions was then made to indicate that the conditions are essentially the same for both concepts, problem solving and decisionmaking.
Improve Problem Solving Skills through Adapting Programming Tools
NASA Technical Reports Server (NTRS)
Shaykhian, Linda H.; Shaykhian, Gholam Ali
2007-01-01
There are numerous ways for engineers and students to become better problem-solvers. The use of command line and visual programming tools can help to model a problem and formulate a solution through visualization. The analysis of problem attributes and constraints provide insight into the scope and complexity of the problem. The visualization aspect of the problem-solving approach tends to make students and engineers more systematic in their thought process and help them catch errors before proceeding too far in the wrong direction. The problem-solver identifies and defines important terms, variables, rules, and procedures required for solving a problem. Every step required to construct the problem solution can be defined in program commands that produce intermediate output. This paper advocates improved problem solving skills through using a programming tool. MatLab created by MathWorks, is an interactive numerical computing environment and programming language. It is a matrix-based system that easily lends itself to matrix manipulation, and plotting of functions and data. MatLab can be used as an interactive command line or a sequence of commands that can be saved in a file as a script or named functions. Prior programming experience is not required to use MatLab commands. The GNU Octave, part of the GNU project, a free computer program for performing numerical computations, is comparable to MatLab. MatLab visual and command programming are presented here.
Hirotada Okawa
2013-08-15
Numerical relativity became a powerful tool to investigate the dynamics of binary problems with black holes or neutron stars as well as the very structure of General Relativity. Although public numerical relativity codes are available to evolve such systems, a proper understanding of the methods involved is quite important. Here we focus on the numerical solution of elliptic partial differential equations. Such equations arise when preparing initial data for numerical relativity, but also for monitoring the evolution of black holes. Because such elliptic equations play an important role in many branches of physics, we give an overview of the topic, and show how to numerically solve them with simple examples and sample codes written in C++ and Fortran90 for beginners in numerical relativity or other fields requiring numerical expertise.
Sleep promotes analogical transfer in problem solving.
Monaghan, Padraic; Sio, Ut Na; Lau, Sum Wai; Woo, Hoi Kei; Linkenauger, Sally A; Ormerod, Thomas C
2015-10-01
Analogical problem solving requires using a known solution from one problem to apply to a related problem. Sleep is known to have profound effects on memory and information restructuring, and so we tested whether sleep promoted such analogical transfer, determining whether improvement was due to subjective memory for problems, subjective recognition of similarity across related problems, or by abstract generalisation of structure. In Experiment 1, participants were exposed to a set of source problems. Then, after a 12-h period involving sleep or wake, they attempted target problems structurally related to the source problems but with different surface features. Experiment 2 controlled for time of day effects by testing participants either in the morning or the evening. Sleep improved analogical transfer, but effects were not due to improvements in subjective memory or similarity recognition, but rather effects of structural generalisation across problems. PMID:26113445
Increasing Fourth-Grade Students' Proficiency at Solving Mathematical Word Problems
ERIC Educational Resources Information Center
Norford, Jennifer A.
2012-01-01
The purpose of the study was to identify effective pedagogical strategies to increase 4th grade students' mathematics problem-solving skills. Numerous researchers have looked at mathematics problem solving; however, there is a scarcity of data relating to 4th grade mathematics problem solving proficiency. Fourth grade students at the…
Extending problem-solving procedures through reflection.
Anderson, John R; Fincham, Jon M
2014-11-01
A large-sample (n=75) fMRI study guided the development of a theory of how people extend their problem-solving procedures by reflecting on them. Both children and adults were trained on a new mathematical procedure and then were challenged with novel problems that required them to change and extend their procedure to solve these problems. The fMRI data were analyzed using a combination of hidden Markov models (HMMs) and multi-voxel pattern analysis (MVPA). This HMM-MVPA analysis revealed the existence of 4 stages: Encoding, Planning, Solving, and Responding. Using this analysis as a guide, an ACT-R model was developed that improved the performance of the HMM-MVPA and explained the variation in the durations of the stages across 128 different problems. The model assumes that participants can reflect on declarative representations of the steps of their problem-solving procedures. A Metacognitive module can hold these steps, modify them, create new declarative steps, and rehearse them. The Metacognitive module is associated with activity in the rostrolateral prefrontal cortex (RLPFC). The ACT-R model predicts the activity in the RLPFC and other regions associated with its other cognitive modules (e.g., vision, retrieval). Differences between children and adults seemed related to differences in background knowledge and computational fluency, but not to the differences in their capability to modify procedures. PMID:25063939
ERIC Educational Resources Information Center
Dereli Iman, Esra
2013-01-01
Problem Statement: Children, like adults, face numerous problems and conflicts in their everyday lives, including issues with peers, siblings, older children, parents, teachers, and other adults. The methods children use to solve such problems are more important than actually facing the problems. The lack of effective social problem-solving skills…
I Can Problem Solve (ICPS): Interpersonal Cognitive Problem Solving for Young Children.
ERIC Educational Resources Information Center
Shure, Myrna B.
1993-01-01
Teachers of preschool and kindergarten children from low-income families used the I Can Problem Solve (ICPS) program to help the children learn to think through and solve typical interpersonal problems with peers and adults. Compared to nontrained controls, the children exhibited fewer instances of impulsive and inhibited behaviors as observed in…
Preschoolers' Cooperative Problem Solving: Integrating Play and Problem Solving
ERIC Educational Resources Information Center
Ramani, Geetha B.; Brownell, Celia A.
2014-01-01
Cooperative problem solving with peers plays a central role in promoting children's cognitive and social development. This article reviews research on cooperative problem solving among preschool-age children in experimental settings and social play contexts. Studies suggest that cooperative interactions with peers in experimental settings are…
COMP 115 Robots, Games, and Problem Solving Fall 2015 COMP 115 Robots, Games, and Problem Solving
Gousie, Michael B.
the concepts and techniques of programming, using the Python programming language. LEGO robots will helpCOMP 115 Robots, Games, and Problem Solving Fall 2015 COMP 115 Robots, Games, and Problem Solving. Class periods will include group and individual exercises, either on paper or on the computer. LEGO
Solving the hard problem of Bertrand's paradox
Aerts, Diederik; Sassoli de Bianchi, Massimiliano
2014-08-15
Bertrand's paradox is a famous problem of probability theory, pointing to a possible inconsistency in Laplace's principle of insufficient reason. In this article, we show that Bertrand's paradox contains two different problems: an “easy” problem and a “hard” problem. The easy problem can be solved by formulating Bertrand's question in sufficiently precise terms, so allowing for a non-ambiguous modelization of the entity subjected to the randomization. We then show that once the easy problem is settled, also the hard problem becomes solvable, provided Laplace's principle of insufficient reason is applied not to the outcomes of the experiment, but to the different possible “ways of selecting” an interaction between the entity under investigation and that producing the randomization. This consists in evaluating a huge average over all possible “ways of selecting” an interaction, which we call a universal average. Following a strategy similar to that used in the definition of the Wiener measure, we calculate such universal average and therefore solve the hard problem of Bertrand's paradox. The link between Bertrand's problem of probability theory and the measurement problem of quantum mechanics is also briefly discussed.
Student Problem Solving in High School Genetics.
ERIC Educational Resources Information Center
Stewart, James
1983-01-01
Describes set of specific steps (procedural knowledge) used when solving monohybrid/dihybrid cross problems and extent to which students could justify execution of each step in terms of their conceptual knowledge of genetics and meiosis. Implications for genetics instruction are discussed. (JN)
Should Children Learn to Solve Problems?
ERIC Educational Resources Information Center
Watras, Joseph
2011-01-01
In this comparative essay, the author discusses the opposing educational theories of John Dewey and Gregory Bateson. While Dewey believed that the scientific method was the dominant method of solving problems and thereby acquiring knowledge that mattered, Bateson warned that this one-sided approach would lead to actions that could destroy the…
ADHD and Problem-Solving in Play
ERIC Educational Resources Information Center
Borg, Suzanne
2009-01-01
This paper reports a small-scale study to determine whether there is a difference in problem-solving abilities, from a play perspective, between individuals who are diagnosed as ADHD and are on medication and those not on medication. Ten children, five of whom where on medication and five not, diagnosed as ADHD predominantly inattentive type, were…
CIS 700 Programming & Problem Solving Summer 2013
Murphy, Chris
CIS 700 Programming & Problem Solving Summer 2013 Project #1: Airplanes Airplane traffic control called "Airplane1.0". 2. Copy all of the content from the tar file that you downloaded into the workspace for the project with main class = airplane.sim.GameEngine and program arguments = airplane.xml When you run
Solving Wicked Problems through Action Learning
ERIC Educational Resources Information Center
Crul, Liselore
2014-01-01
This account of practice outlines the Oxyme Action Learning Program which was conducted as part of the Management Challenge in my final year of the MSc in Coaching and Behavioral Change at Henley Business School. The central research questions were: (1) how action learning can help to solve wicked problems and (2) what the effect of an action…
A SYSTEM APPROACH FOR SOLVING EDUCATIONAL PROBLEMS.
ERIC Educational Resources Information Center
MILLER, DONALD R.
THIS PAPER INVESTIGATES VARIOUS ASPECTS OF THE SYSTEMS APPROACH FOR SOLVING EDUCATIONAL PROBLEMS--(1) THE SYSTEMS CONCEPT, (2) THE RELIABILITY OF THE ASSUMPTIONS ON WHICH THE SYSTEMS APPROACH IS BASED, (3) THE LIMITATIONS INHERENT IN THE SYSTEMS APPROACH, (4) THE HUMAN ELEMENT AND ITS RELATIONSHIP WITH THE SYSTEMS APPROACH, (5) THE WAYS THE…
Problem-Solving Test: Tryptophan Operon Mutants
ERIC Educational Resources Information Center
Szeberenyi, Jozsef
2010-01-01
This paper presents a problem-solving test that deals with the regulation of the "trp" operon of "Escherichia coli." Two mutants of this operon are described: in mutant A, the operator region of the operon carries a point mutation so that it is unable to carry out its function; mutant B expresses a "trp" repressor protein unable to bind…
Nanomedicine: Problem Solving to Treat Cancer
ERIC Educational Resources Information Center
Hemling, Melissa A.; Sammel, Lauren M.; Zenner, Greta; Payne, Amy C.; Crone, Wendy C.
2006-01-01
Many traditional classroom science and technology activities often ask students to complete prepackaged labs that ensure that everyone arrives at the same "scientifically accurate" solution or theory, which ignores the important problem-solving and creative aspects of scientific research and technological design. Students rarely have the…
Complex Problem Solving--More than Reasoning?
ERIC Educational Resources Information Center
Wustenberg, Sascha; Greiff, Samuel; Funke, Joachim
2012-01-01
This study investigates the internal structure and construct validity of Complex Problem Solving (CPS), which is measured by a "Multiple-Item-Approach." It is tested, if (a) three facets of CPS--"rule identification" (adequateness of strategies), "rule knowledge" (generated knowledge) and "rule application" (ability to control a system)--can be…
Raise the Bar on Problem Solving
ERIC Educational Resources Information Center
Englard, Lisa
2010-01-01
In a 1981 diagnostic test, the Ministry of Education in Singapore found its country facing a challenge: Only 46 percent of students in grades 2-4 could solve word problems that were presented without such key words as "altogether" or "left." Yet today, according to results from the Trends in International Mathematics and Science Study (TIMSS…
Assessing Mathematical Problem Solving Using Comparative Judgement
ERIC Educational Resources Information Center
Jones, Ian; Swan, Malcolm; Pollitt, Alastair
2015-01-01
There is an increasing demand from employers and universities for school leavers to be able to apply their mathematical knowledge to problem solving in varied and unfamiliar contexts. These aspects are however neglected in most examinations of mathematics and, consequentially, in classroom teaching. One barrier to the inclusion of mathematical…
Facilitating problem solving in high school chemistry
NASA Astrophysics Data System (ADS)
Gabel, Dorothy L.; Sherwood, Robert D.
The major purpose for conducting this study was to determine whether certain instructional strategies were superior to others in teaching high school chemistry students problem solving. The effectiveness of four instructional strategies for teaching problem solving to students of various proportional reasoning ability, verbal and visual preference, and mathematics anxiety were compared in this aptitude by treatment interaction study. The strategies used were the factor-label method, analogies, diagrams, and proportionality. Six hundred and nine high school students in eight schools were randomly assigned to one of four teaching strategies within each classroom. Students used programmed booklets to study the mole concept, the gas laws, stoichiometry, and molarity. Problem-solving ability was measured by a series of immediate posttests, delayed posttests and the ACS-NSTA Examination in High School Chemistry. Results showed that mathematics anxiety is negatively correlated with science achievement and that problem solving is dependent on students' proportional reasoning ability. The factor-label method was found to be the most desirable method and proportionality the least desirable method for teaching the mole concept. However, the proportionality method was best for teaching the gas laws. Several second-order interactions were found to be significant when mathematics anxiety was one of the aptitudes involved.
Mental Imagery in Creative Problem Solving.
ERIC Educational Resources Information Center
Polland, Mark J.
In order to investigate the relationship between mental imagery and creative problem solving, a study of 44 separate accounts reporting mental imagery experiences associated with creative discoveries were examined. The data included 29 different scientists, among them Albert Einstein and Stephen Hawking, and 9 artists, musicians, and writers,…
Problem-Solving Strategies for Career Planning.
ERIC Educational Resources Information Center
McBryde, Merry J.; Karr-Kidwell, PJ
The need for new expertise in problem solving in the work setting has emerged as a woman's issue because work outside the home has become a primary means for personal goal attainment for about half the women in the United States and because traditional career patterns and norms are ineffective. Career planning is the process of individual career…
Ant Algorithms Solve Difficult Optimization Problems
Libre de Bruxelles, Université
Ant Algorithms Solve Difficult Optimization Problems Marco Dorigo IRIDIA Universit´e Libre de Bruxelles 50 Avenue F. Roosevelt B-1050 Brussels, Belgium mdorigo@ulb.ac.be Abstract. The ant algorithms research field builds on the idea that the study of the behavior of ant colonies or other social insects
Is Problem Solving Dependent on Language?
ERIC Educational Resources Information Center
Baldo, J.V.; Dronkers, N.F.; Wilkins, D.; Ludy, C.; Raskin, P.; Kim, J.
2005-01-01
There has been a long-standing debate in the fields of philosophy and cognitive science surrounding the relationship of language to cognition, but the exact nature of this relationship is still unclear (Sokolov, 1968/1972). In the current study, we explored the role of language in one aspect of cognition, namely problem solving, by administering…
Problem solving stages in the five square problem
Fedor, Anna; Szathmáry, Eörs; Öllinger, Michael
2015-01-01
According to the restructuring hypothesis, insight problem solving typically progresses through consecutive stages of search, impasse, insight, and search again for someone, who solves the task. The order of these stages was determined through self-reports of problem solvers and has never been verified behaviorally. We asked whether individual analysis of problem solving attempts of participants revealed the same order of problem solving stages as defined by the theory and whether their subjective feelings corresponded to the problem solving stages they were in. Our participants tried to solve the Five-Square problem in an online task, while we recorded the time and trajectory of their stick movements. After the task they were asked about their feelings related to insight and some of them also had the possibility of reporting impasse while working on the task. We found that the majority of participants did not follow the classic four-stage model of insight, but had more complex sequences of problem solving stages, with search and impasse recurring several times. This means that the classic four-stage model is not sufficient to describe variability on the individual level. We revised the classic model and we provide a new model that can generate all sequences found. Solvers reported insight more often than non-solvers and non-solvers reported impasse more often than solvers, as expected; but participants did not report impasse more often during behaviorally defined impasse stages than during other stages. This shows that impasse reports might be unreliable indicators of impasse. Our study highlights the importance of individual analysis of problem solving behavior to verify insight theory. PMID:26300794
Solving multiple scattering problems in planetary atmospheres
NASA Technical Reports Server (NTRS)
Irvine, W. M.; Lenoble, J.
1974-01-01
Multiple scattering problems, radiative transfer problems in planetary atmospheres within extended visible portion of the spectrum, are examined. The direct and inverse problems and the extinction coefficient are defined, along with other scattering characteristics. Albedos in semi-infinite and finite atmospheres are considered, as well as surface illumination, energy deposition, and polarization. The Eddington approximation figures prominently in the calculations. Precise numerical methods and analytical solutions are included.
Optimal Planning and Problem-Solving
NASA Technical Reports Server (NTRS)
Clemet, Bradley; Schaffer, Steven; Rabideau, Gregg
2008-01-01
CTAEMS MDP Optimal Planner is a problem-solving software designed to command a single spacecraft/rover, or a team of spacecraft/rovers, to perform the best action possible at all times according to an abstract model of the spacecraft/rover and its environment. It also may be useful in solving logistical problems encountered in commercial applications such as shipping and manufacturing. The planner reasons around uncertainty according to specified probabilities of outcomes using a plan hierarchy to avoid exploring certain kinds of suboptimal actions. Also, planned actions are calculated as the state-action space is expanded, rather than afterward, to reduce by an order of magnitude the processing time and memory used. The software solves planning problems with actions that can execute concurrently, that have uncertain duration and quality, and that have functional dependencies on others that affect quality. These problems are modeled in a hierarchical planning language called C_TAEMS, a derivative of the TAEMS language for specifying domains for the DARPA Coordinators program. In realistic environments, actions often have uncertain outcomes and can have complex relationships with other tasks. The planner approaches problems by considering all possible actions that may be taken from any state reachable from a given, initial state, and from within the constraints of a given task hierarchy that specifies what tasks may be performed by which team member.
ERIC Educational Resources Information Center
Shacham, Mordechai; Cutlip, Michael B.; Brauner, Neima
2009-01-01
A continuing challenge to the undergraduate chemical engineering curriculum is the time-effective incorporation and use of computer-based tools throughout the educational program. Computing skills in academia and industry require some proficiency in programming and effective use of software packages for solving 1) single-model, single-algorithm…
Identifying viable "need-solution pairs": Problem solving without problem formulation
von Hippel, Eric A.
2013-11-27
Problem-solving research, and formal problem-solving practice as well, begins with the assumption that a problem has been identified or formulated for solving. The problem-solving process then involves a search for a ...
Prospects of Solving Grand Challenge Problems
Rajan Gupta
1995-01-17
The recent woes of the supercomputer industry and changes in federal funding have caused some scientists to re-evaluate the means by which they hope to solve Grand Challenge problems. I evaluate the potential of Massively Parallel Processors (MPP) within this context and the state of today's MPP. I stress that for solving large-scale problems MPP are crucial and that it is essential to seek a balance between CPU performance, memory access time, inter-node communications, and I/O. To achieve this it is important to preserve certain characteristics of the hardware while selecting the hottest processor to design the machine around. I emphasize that for long term stability and growth of parallel computing priority should be given to standardizing software so that the same code can run on different platforms and on machines ranging from clusters of workstations to MPP.
Mathematical Problem Solving: A Review of the Literature.
ERIC Educational Resources Information Center
Funkhouser, Charles
The major perspectives on problem solving of the twentieth century are reviewed--associationism, Gestalt psychology, and cognitive science. The results of the review on teaching problem solving and the uses of computers to teach problem solving are included. Four major issues related to the teaching of problem solving are discussed: (1)…
Teaching Problem Solving Skills to Elementary Age Students with Autism
ERIC Educational Resources Information Center
Cote, Debra L.; Jones, Vita L.; Barnett, Crystal; Pavelek, Karin; Nguyen, Hoang; Sparks, Shannon L.
2014-01-01
Students with disabilities need problem-solving skills to promote their success in solving the problems of daily life. The research into problem-solving instruction has been limited for students with autism. Using a problem-solving intervention and the Self Determined Learning Model of Instruction, three elementary age students with autism were…
Harmony Theory: Problem Solving, Parallel Cognitive Models, and Thermal Physics.
ERIC Educational Resources Information Center
Smolensky, Paul; Riley, Mary S.
This document consists of three papers. The first, "A Parallel Model of (Sequential) Problem Solving," describes a parallel model designed to solve a class of relatively simple problems from elementary physics and discusses implications for models of problem-solving in general. It is shown that one of the most salient features of problem solving,…
Exploiting Quantum Resonance to Solve Combinatorial Problems
NASA Technical Reports Server (NTRS)
Zak, Michail; Fijany, Amir
2006-01-01
Quantum resonance would be exploited in a proposed quantum-computing approach to the solution of combinatorial optimization problems. In quantum computing in general, one takes advantage of the fact that an algorithm cannot be decoupled from the physical effects available to implement it. Prior approaches to quantum computing have involved exploitation of only a subset of known quantum physical effects, notably including parallelism and entanglement, but not including resonance. In the proposed approach, one would utilize the combinatorial properties of tensor-product decomposability of unitary evolution of many-particle quantum systems for physically simulating solutions to NP-complete problems (a class of problems that are intractable with respect to classical methods of computation). In this approach, reinforcement and selection of a desired solution would be executed by means of quantum resonance. Classes of NP-complete problems that are important in practice and could be solved by the proposed approach include planning, scheduling, search, and optimal design.
A numerical algorithm for some singularly perturbed boundary value problems
NASA Astrophysics Data System (ADS)
Attili, Basem S.
2005-12-01
A numerical algorithm is proposed to solve singularly perturbed linear two-point value problems. The method starts with a partial decoupling of the system to obtain two independent subsystems, fast and slow components. Each subsystem is then solved separately. A second-order finite difference scheme is used for this purpose. Numerical examples will be presented to show the efficiency of the method.
An investigation into problem solving in education: a problem-solving curricular framework.
Arand, J U; Harding, C G
1987-02-01
The purpose of this study was to examine how two aspects of teaching, mastery of content and problem solving, could be linked in a curricular framework. A professional educational program in physical therapy which had been developed to teach both content and problem solving was evaluated. The subjects for the study were 81 students in a baccalaureate program in a Midwestern medical school who participated in this problem-solving curriculum. The primary assessment instrument used was the Watson-Glaser Critical Thinking Appraisal. Findings indicated that performance on a test of critical thinking was affected by the curriculum. Regression analysis indicated that one course designed as an introduction to problem solving was significantly related to changes in problem-solving skill scores. Although significant change in the test scores did occur, these changes were not evident until the completion of the year-long program. Differing effects for lecture and field experience (or patient care) courses were not observed, and traditional measures such as grade point averages had no statistical relationship to problem-solving skill scores. PMID:3558105
Solving inverse problems of identification type by optimal control methods
Lenhart, S.; Protopopescu, V.; Yong, J.
1997-05-01
Inverse problems of identification type for nonlinear equations are considered within the framework of optimal control theory. The rigorous solution of any particular problem depends on the functional setting, type of equation, and unknown quantity (or quantities) to be determined. Here we present only the general articulations of the formalism. Compared to classical regularization methods (e.g. Tikhonov coupled with optimization schemes), our approach presents several advantages, namely: (i) a systematic procedure to solve inverse problems of identification type; (ii) an explicit expression for the approximations of the solution; and (iii) a convenient numerical solution of these approximations. {copyright} {ital 1997 American Institute of Physics.}
Solving inverse problems of identification type by optimal control methods
Lenhart, S.; Protopopescu, V.; Jiongmin Yong
1997-06-01
Inverse problems of identification type for nonlinear equations are considered within the framework of optimal control theory. The rigorous solution of any particular problem depends on the functional setting, type of equation, and unknown quantity (or quantities) to be determined. Here the authors present only the general articulations of the formalism. Compared to classical regularization methods (e.g. Tikhonov coupled with optimization schemes), their approach presents several advantages, namely: (i) a systematic procedure to solve inverse problems of identification type; (ii) an explicit expression for the approximations of the solution; and (iii) a convenient numerical solution of these approximations.
Resource Letter RPS-1: Research in problem solving
NASA Astrophysics Data System (ADS)
Hsu, Leonardo; Brewe, Eric; Foster, Thomas M.; Harper, Kathleen A.
2004-09-01
This Resource Letter provides a guide to the literature on research in problem solving, especially in physics. The references were compiled with two audiences in mind: physicists who are (or might become) engaged in research on problem solving, and physics instructors who are interested in using research results to improve their students' learning of problem solving. In addition to general references, journal articles and books are cited for the following topics: cognitive aspects of problem solving, expert-novice problem-solver characteristics, problem solving in mathematics, alternative problem types, curricular interventions, and the use of computers in problem solving.
Solving the Swath Segment Selection Problem
NASA Technical Reports Server (NTRS)
Knight, Russell; Smith, Benjamin
2006-01-01
Several artificial-intelligence search techniques have been tested as means of solving the swath segment selection problem (SSSP) -- a real-world problem that is not only of interest in its own right, but is also useful as a test bed for search techniques in general. In simplest terms, the SSSP is the problem of scheduling the observation times of an airborne or spaceborne synthetic-aperture radar (SAR) system to effect the maximum coverage of a specified area (denoted the target), given a schedule of downlinks (opportunities for radio transmission of SAR scan data to a ground station), given the limit on the quantity of SAR scan data that can be stored in an onboard memory between downlink opportunities, and given the limit on the achievable downlink data rate. The SSSP is NP complete (short for "nondeterministic polynomial time complete" -- characteristic of a class of intractable problems that can be solved only by use of computers capable of making guesses and then checking the guesses in polynomial time).
Bouncing ball problem: numerical behavior characterization
NASA Astrophysics Data System (ADS)
Macau, E. E. N.; Carneiro, M. V.; Barroso, J. J.
2010-09-01
This paper gives an overview of the simple yet fundamental bouncing ball problem, which consists of a ball bouncing vertically on a sinusoidally vibrating table under the action of gravity. The dynamics is modeled on the basis of a discrete map of difference equations, which numerically solved fully reveals a rich variety of nonlinear behaviors, encompassing irregular non-periodic orbits, subharmonic and chaotic motions, chattering mechanisms, and also unbounded non-periodic orbits.
Experimenting with Classroom Formats To Encourage Problem Solving.
ERIC Educational Resources Information Center
Fernandez, Eileen; Kazimir, Jessica; Vandemeulebroeke, Lynn; Burgos, Carlos
2002-01-01
Describes how modifying familiar classroom formats in a college geometry class helped encourage student problem solving. Demonstrates these modified formats in the context of problems students explored, which resemble the problem-solving settings of mathematicians. (KHR)
"I'm Not Very Good at Solving Problems": An Exploration of Students' Problem Solving Behaviours
ERIC Educational Resources Information Center
Muir, Tracey; Beswick, Kim; Williamson, John
2008-01-01
This paper reports one aspect of a larger study which looked at the strategies used by a selection of grade 6 students to solve six non-routine mathematical problems. The data revealed that the students exhibited many of the behaviours identified in the literature as being associated with novice and expert problem solvers. However, the categories…
Electrical precipitation solves Udang's dehydration problem
Aulenbacher, M.W.
1982-06-01
A tough crude dehydration problem was solved on the Udang a platform offshore Indonesia when Conoco opted to use electric precipitation to remove water from the field's high pour point crude. The platform's 13 wells could produce up to 40,000 bpd of crude, but the system was designed under the assumption that water cuts would increase. Design capacity was set at 50% water, to a maximum of 27,000 bpd of oil and a like amount of water. A dehydration system on a second platform is now handling 60,000 bpd of oil with 5% water.
Multitasking-Pascal extensions solve concurrency problems
Mackie, P.H.
1982-09-29
To avoid deadlock (one process waiting for a resource than another process can't release) and indefinite postponement (one process being continually denied a resource request) in a multitasking-system application, it is possible to use a high-level development language with built-in concurrency handlers. Parallel Pascal is one such language; it extends standard Pascal via special task synchronizers: a new data type called signal, new system procedures called wait and send and a Boolean function termed awaited. To understand the language's use the author examines the problems it helps solve.
Can galileons solve the muon problem?
NASA Astrophysics Data System (ADS)
Lamm, Henry
2015-09-01
The leptonic bound states positronium and muonium are used to constrain Galileon contributions to the Lamb shift of muonic hydrogen. Through the application of a variety of bounds on lepton compositeness, it is shown that either the assumption of equating the charge radius of a particle with its Galileon scale radius is incompatible with experiments, or the scale of Galileons must be M >1.33 GeV , too large to solve the muon problem. The possibility of stronger constraints in the future from true muonium is discussed.
The Problem of Assessing Problem Solving: Can Comparative Judgement Help?
ERIC Educational Resources Information Center
Jones, Ian; Inglis, Matthew
2015-01-01
School mathematics examination papers are typically dominated by short, structured items that fail to assess sustained reasoning or problem solving. A contributory factor to this situation is the need for student work to be marked reliably by a large number of markers of varied experience and competence. We report a study that tested an…
Numerical stability in problems of linear algebra.
NASA Technical Reports Server (NTRS)
Babuska, I.
1972-01-01
Mathematical problems are introduced as mappings from the space of input data to that of the desired output information. Then a numerical process is defined as a prescribed recurrence of elementary operations creating the mapping of the underlying mathematical problem. The ratio of the error committed by executing the operations of the numerical process (the roundoff errors) to the error introduced by perturbations of the input data (initial error) gives rise to the concept of lambda-stability. As examples, several processes are analyzed from this point of view, including, especially, old and new processes for solving systems of linear algebraic equations with tridiagonal matrices. In particular, it is shown how such a priori information can be utilized as, for instance, a knowledge of the row sums of the matrix. Information of this type is frequently available where the system arises in connection with the numerical solution of differential equations.
Scientific problem solving by expert systems
NASA Astrophysics Data System (ADS)
Good, Ron
Human expert problem solving in science is defined and used to account for scientific discovery. These ideas, attributed largely to Herbert Simon, are used in a description of BACON.5, a machine expert problem solver that discovers scientific laws using data-driven heuristics and expectations such as symmetry. Trial-and-error search of data-driven scientific discovery is drastically reduced when the BACON.5 system is altered to include expectations, such as symmetry, which have been influential in real (i.e., human) discoveries of scientific laws. A discussion of the implications of BACON.5-type research for traditional science education research recognizes the importance of a qualitative understanding of the relationships among pieces of a physical or biological system.
Assessing Cognitive Learning of Analytical Problem Solving
NASA Astrophysics Data System (ADS)
Billionniere, Elodie V.
Introductory programming courses, also known as CS1, have a specific set of expected outcomes related to the learning of the most basic and essential computational concepts in computer science (CS). However, two of the most often heard complaints in such courses are that (1) they are divorced from the reality of application and (2) they make the learning of the basic concepts tedious. The concepts introduced in CS1 courses are highly abstract and not easily comprehensible. In general, the difficulty is intrinsic to the field of computing, often described as "too mathematical or too abstract." This dissertation presents a small-scale mixed method study conducted during the fall 2009 semester of CS1 courses at Arizona State University. This study explored and assessed students' comprehension of three core computational concepts---abstraction, arrays of objects, and inheritance---in both algorithm design and problem solving. Through this investigation students' profiles were categorized based on their scores and based on their mistakes categorized into instances of five computational thinking concepts: abstraction, algorithm, scalability, linguistics, and reasoning. It was shown that even though the notion of computational thinking is not explicit in the curriculum, participants possessed and/or developed this skill through the learning and application of the CS1 core concepts. Furthermore, problem-solving experiences had a direct impact on participants' knowledge skills, explanation skills, and confidence. Implications for teaching CS1 and for future research are also considered.
Neural correlates of mathematical problem solving.
Lin, Chun-Ling; Jung, Melody; Wu, Ying Choon; She, Hsiao-Ching; Jung, Tzyy-Ping
2015-03-01
This study explores electroencephalography (EEG) brain dynamics associated with mathematical problem solving. EEG and solution latencies (SLs) were recorded as 11 neurologically healthy volunteers worked on intellectually challenging math puzzles that involved combining four single-digit numbers through basic arithmetic operators (addition, subtraction, division, multiplication) to create an arithmetic expression equaling 24. Estimates of EEG spectral power were computed in three frequency bands - ? (4-7 Hz), ? (8-13 Hz) and ? (14-30 Hz) - over a widely distributed montage of scalp electrode sites. The magnitude of power estimates was found to change in a linear fashion with SLs - that is, relative to a base of power spectrum, theta power increased with longer SLs, while alpha and beta power tended to decrease. Further, the topographic distribution of spectral fluctuations was characterized by more pronounced asymmetries along the left-right and anterior-posterior axes for solutions that involved a longer search phase. These findings reveal for the first time the topography and dynamics of EEG spectral activities important for sustained solution search during arithmetical problem solving. PMID:25666500
Autonomy and Mathematical Problem-Solving: The Early Years
ERIC Educational Resources Information Center
Rogers, Jennifer
2004-01-01
Problem solving is seen to lie at the "heart" of mathematics (Cockcroft, 1982). Problem solving is also of great importance to industry that claims many young people leave school and take up jobs without the skills needed to sort out difficulties and problems (Smith Report, 2004). So is problem solving at the heart of mathematics teaching in…
Problem Solving Activities Made to N-Joy. Monograph #1.
ERIC Educational Resources Information Center
Association of Mathematics Teachers of New Jersey, Vineland.
This document addresses the need to provide problem-solving materials for teachers of mathematics in the upper elementary grades. The activities are designed to: help teachers emphasize problem-solving techniques, develop positive attitudes toward mathematics and problem solving, provide problems that could be used whenever free time exists,…
An approach to numerically solving the Poisson equation
NASA Astrophysics Data System (ADS)
Feng, Zhichen; Sheng, Zheng-Mao
2015-06-01
We introduce an approach for numerically solving the Poisson equation by using a physical model, which is a way to solve a partial differential equation without the finite difference method. This method is especially useful for obtaining the solutions in very many free-charge neutral systems with open boundary conditions. It can be used for arbitrary geometry and mesh style and is more efficient comparing with the widely-used iterative algorithm with multigrid methods. It is especially suitable for parallel computing. This method can also be applied to numerically solving other partial differential equations whose Green functions exist in analytic expression.
Can Compactifications Solve the Cosmological Constant Problem?
Hertzberg, Mark P
2015-01-01
Recently, there have been claims in the literature that the cosmological constant problem can be dynamically solved by specific compactifications of gravity from higher-dimensional toy models. These models have the novel feature that in the four-dimensional theory, the cosmological constant $\\Lambda$ is much smaller than the Planck density and in fact accumulates at $\\Lambda=0$. Here we show that while these are very interesting models, they do not properly address the real cosmological constant problem. As we explain, the real problem is not simply to obtain $\\Lambda$ that is small in Planck units in a toy model, but to explain why $\\Lambda$ is much smaller than other mass scales (and combinations of scales) in the theory. Instead, in these toy models, all other particle mass scales have been either removed or sent to zero, thus ignoring the real problem. To this end, we provide a general argument that the included moduli masses are generically of order Hubble, so sending them to zero trivially sends the cos...
Journey into Problem Solving: A Gift from Polya
ERIC Educational Resources Information Center
Lederman, Eric
2009-01-01
In "How to Solve It", accomplished mathematician and skilled communicator George Polya describes a four-step universal solving technique designed to help students develop mathematical problem-solving skills. By providing a glimpse at the grace with which experts solve problems, Polya provides definable methods that are not exclusive to…
Solving Fractional Programming Problems based on Swarm Intelligence
NASA Astrophysics Data System (ADS)
Raouf, Osama Abdel; Hezam, Ibrahim M.
2014-04-01
This paper presents a new approach to solve Fractional Programming Problems (FPPs) based on two different Swarm Intelligence (SI) algorithms. The two algorithms are: Particle Swarm Optimization, and Firefly Algorithm. The two algorithms are tested using several FPP benchmark examples and two selected industrial applications. The test aims to prove the capability of the SI algorithms to solve any type of FPPs. The solution results employing the SI algorithms are compared with a number of exact and metaheuristic solution methods used for handling FPPs. Swarm Intelligence can be denoted as an effective technique for solving linear or nonlinear, non-differentiable fractional objective functions. Problems with an optimal solution at a finite point and an unbounded constraint set, can be solved using the proposed approach. Numerical examples are given to show the feasibility, effectiveness, and robustness of the proposed algorithm. The results obtained using the two SI algorithms revealed the superiority of the proposed technique among others in computational time. A better accuracy was remarkably observed in the solution results of the industrial application problems.
Considering representational choices of fourth graders when solving division problems
Gilbert, Mary Chiles
2007-09-17
Students need to build on their own understanding when problem solving. Mathematics reform is moving away from skill and drill types of activities and encouraging students to develop their own approaches to problem solving. The National Council...
Petroleum Engineering 416 Solving Common Production Engineering Problems
42 Petroleum Engineering 416 Solving Common Production Engineering Problems Credit 3: (3-0) Satisfies Technical Elective Requirement Catalog Description: Application of petroleum engineering tools, methods, and techniques to solve real problems that petroleum engineers encounter in the course
CU Science Education Seminar Series Assessment & Improvement of Problem Solving
Colorado at Boulder, University of
CU Science Education Seminar Series Assessment & Improvement of Problem Solving Problem solving.D. Alumni Distinguished Professor of Chemistry Interim Chair, Engineering & Science Education Clemson of Chemistry & Biochemistry Molecular, Cellular & Developmental Biology CU Teach & the Science Education
Solving edge-matching problems with satisfiability solvers
Kuzmanov, Georgi
Solving edge-matching problems with satisfiability solvers Marijn J.H. Heule Department of Software of Technology marijn@heule.nl Abstract. Programs that solve Boolean satisfiability (SAT) problems have become
Solving process problems with supercritical fluid extraction
Via, J.; Taylor, L.T. )
1993-11-01
Many separations cannot be achieved with use of conventional methods. Sometimes a desired solvent isn't strong or selective enough, or it may be difficult to remove after the separation. Also, as a result of the Montreal Protocol, many traditional solvents will be banned by 1995. Fortunately, the past decade has seen a revolution in the use of supercritical fluids (SCFs), which may be able to solve many difficult separation problems. One of the first uses of SCFs, particularly CO[sub 2], was in chromatography where it was used to separate nonvolatile mixtures. Recently, more emphasis has been placed on using this technology for analytical and bulk extractions. This paper discusses the ABC's of supercritical fluid extraction and its use for fractionating polymers, selective removal of materials, and soil remediation.
Use of EPR to Solve Biochemical Problems
Sahu, Indra D.; McCarrick, Robert M.; Lorigan, Gary A.
2013-01-01
EPR spectroscopy is a very powerful biophysical tool that can provide valuable structural and dynamic information on a wide variety of biological systems. The intent of this review is to provide a general overview for biochemists and biological researchers on the most commonly used EPR methods and how these techniques can be used to answer important biological questions. The topics discussed could easily fill one or more textbooks; thus, we present a brief background on several important biological EPR techniques and an overview of several interesting studies that have successfully used EPR to solve pertinent biological problems. The review consists of the following sections: an introduction to EPR techniques, spin labeling methods, and studies of naturally occurring organic radicals and EPR active transition metal systems which are presented as a series of case studies in which EPR spectroscopy has been used to greatly further our understanding of several important biological systems. PMID:23961941
Capturing Problem-Solving Processes Using Critical Rationalism
ERIC Educational Resources Information Center
Chitpin, Stephanie; Simon, Marielle
2012-01-01
The examination of problem-solving processes continues to be a current research topic in education. Knowing how to solve problems is not only a key aspect of learning mathematics but is also at the heart of cognitive theories, linguistics, artificial intelligence, and computers sciences. Problem solving is a multistep, higher-order cognitive task…
Team-Based Complex Problem Solving: A Collective Cognition Perspective
ERIC Educational Resources Information Center
Hung, Woei
2013-01-01
Today, much problem solving is performed by teams, rather than individuals. The complexity of these problems has exceeded the cognitive capacity of any individual and requires a team of members to solve them. The success of solving these complex problems not only relies on individual team members who possess different but complementary expertise,…
Problem Solving in Math Math 43900 Section 01
Galvin, David
at the Math library) are worth looking at. First, two classics that deal with the art of problem-solvingProblem Solving in Math Math 43900 Section 01 Fall 2014 The Putnam Competition The seventy skill that you will ever encounter. The Problem Solving in Math seminar To help prepare for the Putnam
Problem Solving at Camp: Creating Win-Win Solutions.
ERIC Educational Resources Information Center
Shelton, Michael
1999-01-01
Camp, with its community living focus, presents a constant source of potential conflicts and offers an ideal environment to help campers develop their problem-solving skills. Steps in social problem solving are listed, and an example of problem-solving skills in action is offered. Counselors can discuss conflicts with campers and ask for group…
Perceived Problem Solving, Stress, and Health among College Students
ERIC Educational Resources Information Center
Largo-Wight, Erin; Peterson, P. Michael; Chen, W. William
2005-01-01
Objective: To study the relationships among perceived problem solving, stress, and physical health. Methods: The Perceived Stress Questionnaire (PSQ), Personal Problem solving Inventory (PSI), and a stress-related physical health symptoms checklist were used to measure perceived stress, problem solving, and health among undergraduate college…
Surveying Graduate Students' Attitudes and Approaches to Problem Solving
ERIC Educational Resources Information Center
Mason, Andrew; Singh, Chandralekha
2010-01-01
Students' attitudes and approaches to problem solving in physics can profoundly influence their motivation to learn and development of expertise. We developed and validated an Attitudes and Approaches to Problem Solving survey by expanding the Attitudes toward Problem Solving survey of Marx and Cummings and administered it to physics graduate…
Teacher Practices with Toddlers during Social Problem Solving Opportunities
ERIC Educational Resources Information Center
Gloeckler, Lissy; Cassell, Jennifer
2012-01-01
This article explores how teachers can foster an environment that facilitates social problem solving when toddlers experience conflict, emotional dysregulation, and aggression. This article examines differences in child development and self-regulation outcomes when teachers engage in problem solving "for" toddlers and problem solving "with"…
The Influence of Cognitive Diversity on Group Problem Solving Strategy
ERIC Educational Resources Information Center
Lamm, Alexa J.; Shoulders, Catherine; Roberts, T. Grady; Irani, Tracy A.; Snyder, Lori J. Unruh; Brendemuhl, Joel
2012-01-01
Collaborative group problem solving allows students to wrestle with different interpretations and solutions brought forth by group members, enhancing both critical thinking and problem solving skills. Since problem solving in groups is a common practice in agricultural education, instructors are often put in the position of organizing student…
Interpersonal and Emotional Problem Solving among Narcotic Drug Abusers.
ERIC Educational Resources Information Center
Appel, Philip W.; Kaestner, Elisabeth
1979-01-01
Measured problem-solving abilities of narcotics abusers using the modified means-ends problem-solving procedure. Good subjects had more total relevent means (RMs) for solving problems, used more introspective and emotional RMs, and were better at RM recognition, but did not have more sufficient narratives than poor subjects. (Author/BEF)
A TAPS Interactive Multimedia Package to Solve Engineering Dynamics Problem
ERIC Educational Resources Information Center
Sidhu, S. Manjit; Selvanathan, N.
2005-01-01
Purpose: To expose engineering students to using modern technologies, such as multimedia packages, to learn, visualize and solve engineering problems, such as in mechanics dynamics. Design/methodology/approach: A multimedia problem-solving prototype package is developed to help students solve an engineering problem in a step-by-step approach. A…
Maximum/Minimum Problems Solved Using an Algebraic Way
ERIC Educational Resources Information Center
Modica, Erasmo
2010-01-01
This article describes some problems of the maximum/minimum type, which are generally solved using calculus at secondary school, but which here are solved algebraically. We prove six algebraic properties and then apply them to this kind of problem. This didactic approach allows pupils to solve these problems even at the beginning of secondary…
Averaging Schemes for Solving Fived Point and Variational Inequality Problems
Magnanti, Thomas L.
We develop and study averaging schemes for solving fixed point and variational inequality problems. Typically, researchers have established convergence results for solution methods for these problems by establishing ...
Large Scale Computational Problems in Numerical Optimization
coleman, thomas f.
2000-07-01
Our work under this support broadly falls into five categories: automatic differentiation, sparsity, constraints, parallel computation, and applications. Automatic Differentiation (AD): We developed strong practical methods for computing sparse Jacobian and Hessian matrices which arise frequently in large scale optimization problems [10,35]. In addition, we developed a novel view of "structure" in applied problems along with AD techniques that allowed for the efficient application of sparse AD techniques to dense, but structured, problems. Our AD work included development of freely available MATLAB AD software. Sparsity: We developed new effective and practical techniques for exploiting sparsity when solving a variety of optimization problems. These problems include: bound constrained problems, robust regression problems, the null space problem, and sparse orthogonal factorization. Our sparsity work included development of freely available and published software [38,39]. Constraints: Effectively handling constraints in large scale optimization remains a challenge. We developed a number of new approaches to constrained problems with emphasis on trust region methodologies. Parallel Computation: Our work included the development of specifically parallel techniques for the linear algebra tasks underpinning optimization algorithms. Our work contributed to the nonlinear least-squares problem, nonlinear equations, triangular systems, orthogonalization, and linear programming. Applications: Our optimization work is broadly applicable across numerous application domains. Nevertheless we have specifically worked in several application areas including molecular conformation, molecular energy minimization, computational finance, and bone remodeling.
Journey into Problem Solving: A Gift from Polya
NASA Astrophysics Data System (ADS)
Lederman, Eric
2009-02-01
In How to Solve It, accomplished mathematician and skilled communicator George Polya describes a four-step universal solving technique designed to help students develop mathematical problem-solving skills. By providing a glimpse at the grace with which experts solve problems, Polya provides definable methods that are not exclusive to mathematicians but of interest to cognitive psychologists and problem solvers in all fields. I had the good fortune to be introduced to Polya's ideas in my first undergraduate class in physics.
A recurrent neural network for solving bilevel linear programming problem.
He, Xing; Li, Chuandong; Huang, Tingwen; Li, Chaojie; Huang, Junjian
2014-04-01
In this brief, based on the method of penalty functions, a recurrent neural network (NN) modeled by means of a differential inclusion is proposed for solving the bilevel linear programming problem (BLPP). Compared with the existing NNs for BLPP, the model has the least number of state variables and simple structure. Using nonsmooth analysis, the theory of differential inclusions, and Lyapunov-like method, the equilibrium point sequence of the proposed NNs can approximately converge to an optimal solution of BLPP under certain conditions. Finally, the numerical simulations of a supply chain distribution model have shown excellent performance of the proposed recurrent NNs. PMID:24807959
Analyzing the many skills involved in solving complex physics problems
NASA Astrophysics Data System (ADS)
Adams, Wendy K.; Wieman, Carl E.
2015-05-01
We have empirically identified over 40 distinct sub-skills that affect a person's ability to solve complex problems in many different contexts. The identification of so many sub-skills explains why it has been so difficult to teach or assess problem solving as a single skill. The existence of these sub-skills is supported by several studies comparing a wide range of individuals' strengths and weaknesses in these sub-skills, their "problem solving fingerprint," while solving different types of problems including a classical mechanics problem, quantum mechanics problems, and a complex trip-planning problem with no physics. We see clear differences in the problem solving fingerprint of physics and engineering majors compared to the elementary education majors that we tested. The implications of these findings for guiding the teaching and assessing of problem solving in physics instruction are discussed.
Tools to Think With: Detecting Different Strategies in Solving Arithmetic Word Problems.
ERIC Educational Resources Information Center
Hershkovitz, Sara; Nesher, Pearla
1998-01-01
Discusses two approaches to solving word problems that consider the verbal text of the problem, and analyze it to obtain its mathematical expression, as well as its numerical solution. Uses two computerized programs for word problems to capture the various strategies employed by the problem solvers. Contains 21 references. (Author/ASK)
Teaching Problem-Solving Skills to Nuclear Engineering Students
ERIC Educational Resources Information Center
Waller, E.; Kaye, M. H.
2012-01-01
Problem solving is an essential skill for nuclear engineering graduates entering the workforce. Training in qualitative and quantitative aspects of problem solving allows students to conceptualise and execute solutions to complex problems. Solutions to problems in high consequence fields of study such as nuclear engineering require rapid and…
Cognitive Variables in Problem Solving in Chemistry: A Revisited Study.
ERIC Educational Resources Information Center
Lee, Kam-Wah Lucille; And Others
1996-01-01
Presents results from Singaporean and Australian studies on the relationships between the cognitive variables and problem solving performance in three electrochemistry problems of different degrees of familiarity for comparisons. Concludes that idea association, problem translating skill, prior problem solving experience, specific knowledge, and…
Solving Customer-Driven Microgrid Optimization Problems as DCOPs
Yeoh, William
Solving Customer-Driven Microgrid Optimization Problems as DCOPs Saurabh Gupta , Palak Jain common customer-driven microgrid (CDMG) optimization problems a comprehensive CDMG optimization problem. In response to the challenge by Ramchurn et al. to solve smart grid optimization problems with artificial
On planetary motion—a way to solve the problem and a spreadsheet simulation
NASA Astrophysics Data System (ADS)
Benacka, Jan
2014-07-01
The article presents a way of solving the problem of planetary motion, or, the Kepler problem, without using the r\\to 1/r transition. The governing equation is solved for the components of the velocity vector in Cartesian coordinates. Substitution for speed in the law of energy conservation yields the equation of the trajectory. A time implicit closed formula for the azimuth is derived. An Excel application is presented that simulates the motion by solving the azimuth equation numerically without using programming.
Measuring Problem Solving with Technology: A Demonstration Study for NAEP
ERIC Educational Resources Information Center
Bennett, Randy Elliot; Persky, Hilary; Weiss, Andy; Jenkins, Frank
2010-01-01
This paper describes a study intended to demonstrate how an emerging skill, problem solving with technology, might be measured in the National Assessment of Educational Progress (NAEP). Two computer-delivered assessment scenarios were designed, one on solving science-related problems through electronic information search and the other on solving…
Routine for computer or calculator solves gas-flow problems
Stannard, J.H.
1985-04-15
A handheld calculator routine for solving various gas-flow problems has been adapted for microcomputer. Adaptable to any popular microcomputer, the routine can solve for pipe size, friction factor, and various pressures.
A numerical method for phase-change problems
NASA Technical Reports Server (NTRS)
Kim, Charn-Jung; Kaviany, Massoud
1990-01-01
A highly accurate and efficient finite-difference method for phase-change problems with multiple moving boundaries of irregular shape is developed by employing a coordinate transformation that immobilizes moving boundaries and preserves the conservative forms of the original governing equations. The numerical method is first presented for one-dimensional phase-change problems (involving large density variation between phases, heat generation, and multiple moving boundaries) and then extended to solve two-dimensional problems (without change of densities between phases). Numerical solutions are obtained non-iteratively using an explicit treatment of the interfacial mass and energy balances and an implicit treatment of the temperature field equations. The accuracy and flexibility of the present numerical method are verified by solving some phase-change problems and comparing the results with existing analytical, semi-analytical and numerical solutions. Results indicate that one- and two-dimensional phase-change problems can be handled easily with excellent accuracies.
The relationship between students' problem solving frames and epistemological beliefs
NASA Astrophysics Data System (ADS)
Wampler, Wendi N.
Introductory undergraduate physics courses aim to help students develop the skills and strategies necessary to solve complex, real world problems, but many students not only leave these courses with serious gaps in their conceptual understanding, but also maintain a novice-like approach to solving problems. Matter and Interactions [M&I] is a curriculum that focuses on a restructuring of physics content knowledge and emphasizes a systematic approach to problem solving, called modeling, which involves the application physical principles to carefully defined systems of objects and interactions (Chabay and Sherwood, 2007a). Because the M&I approach to problem solving is different from many students' previous physics experience, efforts need to be made to attend to their epistemological beliefs and expectations about not only learning physics content knowledge, but problem solving as well. If a student frames solving physics problems as a `plug and chug' type activity, then they are going continue practicing this strategy. Thus, it is important to address students' epistemological beliefs and monitor how they frame the activity of problem solving within the M&I course. This study aims to investigate how students frame problem solving within the context of a large scale implementation of the M&I curriculum, and how, if at all, those frames shift through the semester. By investigating how students frame the act of problem solving in the M&I context, I was able to examine the connection between student beliefs and expectations about problem solving in physics and the skills and strategies used while solving problems in class. To accomplish these goals, I recruited student volunteers from Purdue's introductory, calculus-based physics course and assessed their problem solving approach and espoused epistemological beliefs over the course of a semester. I obtained data through video recordings of the students engaged in small group problem solving during recitation activities, post recitation interviews, and a modified version of the CLASS survey taken at the beginning and end of the semester. I assessed the skills and strategies students used to solve problems, characterized how they framed the activity of problem solving, and then evaluated how these frames shifted through a semester of instruction. Findings indicate that the M&I curriculum helped all the students shift towards a deliberate, more productive problem solving frame. Results also show that beliefs and expectations, as well as knowledge of problem solving skills and strategies must be aligned for students to shift to a productive frame.
Solving Einstein's equation numerically on manifolds with arbitrary spatial topologies
NASA Astrophysics Data System (ADS)
Lindblom, Lee; Szilágyi, Béla; Taylor, Nicholas W.
2014-02-01
This paper develops a method for solving Einstein's equation numerically on multicube representations of manifolds with arbitrary spatial topologies. This method is designed to provide a set of flexible, easy to use computational procedures that make it possible to explore the never before studied properties of solutions to Einstein's equation on manifolds with arbitrary toplogical structures. A new covariant, first-order symmetric-hyperbolic representation of Einstein's equation is developed for this purpose, along with the needed boundary conditions at the interfaces between adjoining cubic regions. Numerical tests are presented that demonstrate the long-term numerical stability of this method for evolutions of a complicated, time-dependent solution of Einstein's equation coupled to a complex scalar field on a manifold with spatial topology S3. The accuracy of these numerical test solutions is evaluated by performing convergence studies and by comparing the full nonlinear numerical results to the analytical perturbation solutions, which are also derived here.
NASA Astrophysics Data System (ADS)
Zheng, Yuxuan; Zhou, Fenghua
2015-09-01
In relation to the dynamic tests of materials, the approach to solve the viscoelastic wave propagations in a one dimensional viscoelastic rod was summarized. By conducting Laplace transform, the governing partial differential equations were transformed to ordinary differential equations for the image functions, which were solved analytically with suitable boundary equations. Inversely transforming these image functions gives the results of the stress, velocity, and strain in the bar. Two wave problems occurred in split Hopkinson pressure bar (SHPB) tests are analyzed: 1) the problem of evaluating the internal stress distributions in a viscoelastic specimen; and 2) the problem of stress wave propagations in a viscoelastic bar. Both problems were solved numerically by way of numerical inverse Laplace transform. For the first problem, the special case when the specimen is pure elastic was solved analytically, giving the exact solution to the problem of elastic wave propagation in a sandwich elastic media.
Solving the Sailors and the Coconuts Problem via Diagrammatic Approach
ERIC Educational Resources Information Center
Man, Yiu-Kwong
2010-01-01
In this article, we discuss how to use a diagrammatic approach to solve the classic sailors and the coconuts problem. It provides us an insight on how to tackle this type of problem in a novel and intuitive way. This problem-solving approach will be found useful to mathematics teachers or lecturers involved in teaching elementary number theory,…
A Descriptive Study of Cooperative Problem Solving Introductory Physics Labs
ERIC Educational Resources Information Center
Knutson, Paul Aanond
2011-01-01
The purpose of this study was to determine the ways in which cooperative problem solving in physics instructional laboratories influenced the students' ability to provide qualitative responses to problems. The literature shows that problem solving involves both qualitative and quantitative skills. Qualitative skills are important because those…
Solving Global Optimization Problems using MANGO Akin Gunay1
Yanikoglu, Berrin
Solving Global Optimization Problems using MANGO Akin G¨unay1 , Figen ¨Oztoprak2 , S¸. Ilker Birbil. Traditional approaches for solving global optimization problems gen- erally rely on a single algorithm to form teams of algorithms to tackle global optimization problems. Each algorithm is embod- ied and ran
Problem-Solving Support for English Language Learners
ERIC Educational Resources Information Center
Wiest, Lynda R.
2008-01-01
Although word problems pose greater language demands, they also encourage more meaningful problem solving and mathematics understanding. With proper instructional support, a student-centered, investigative approach to contextualized problem solving benefits all students. This article presents a lesson built on an author-adapted version of the…
Complex Mathematical Problem Solving by Individuals and Dyads.
ERIC Educational Resources Information Center
Vye, Nancy J.; Goldman, Susan R.; Voss, James F.; Hmelo, Cindy; Williams, Susan; Cognition and Technology Group at Vanderbilt University
1997-01-01
Describes two studies of mathematical problem solving using an episode from "The Adventures of Jasper Woodbury," a set of curriculum materials that afford complex problem-solving opportunities. Discussion focuses on characteristics of problems that make solutions difficult, kinds of reasoning that dyadic interactions support, and considerations of…
Solving Information-Based Problems: Evaluating Sources and Information
ERIC Educational Resources Information Center
Brand-Gruwel, Saskia; Stadtler, Marc
2011-01-01
The focus of this special section is on the processes involved when solving information-based problems. Solving these problems requires from people that they are able to define the information problem, search and select usable and reliable sources and information and synthesise information into a coherent body of knowledge. An important aspect…
Innovation and problem solving: a review of common mechanisms.
Griffin, Andrea S; Guez, David
2014-11-01
Behavioural innovations have become central to our thinking about how animals adjust to changing environments. It is now well established that animals vary in their ability to innovate, but understanding why remains a challenge. This is because innovations are rare, so studying innovation requires alternative experimental assays that create opportunities for animals to express their ability to invent new behaviours, or use pre-existing ones in new contexts. Problem solving of extractive foraging tasks has been put forward as a suitable experimental assay. We review the rapidly expanding literature on problem solving of extractive foraging tasks in order to better understand to what extent the processes underpinning problem solving, and the factors influencing problem solving, are in line with those predicted, and found, to underpin and influence innovation in the wild. Our aim is to determine whether problem solving can be used as an experimental proxy of innovation. We find that in most respects, problem solving is determined by the same underpinning mechanisms, and is influenced by the same factors, as those predicted to underpin, and to influence, innovation. We conclude that problem solving is a valid experimental assay for studying innovation, propose a conceptual model of problem solving in which motor diversity plays a more central role than has been considered to date, and provide recommendations for future research using problem solving to investigate innovation. This article is part of a Special Issue entitled: Cognition in the wild. PMID:25245306
Ober-BlÃ¶baum, Sina
Solving Multiobjective Optimal Control Problems in Space Mission Design using Discrete Mechanics numerical methods have been de- veloped to compute trajectories of optimal control problems on the one hand optimal control problems. In this contribution we combine the optimal control method Discrete Mechanics
Learning New Problem-Solving Strategies Leads to Changes in Problem Representation
ERIC Educational Resources Information Center
Alibali, Martha W.; Phillips, Karin M. O.; Fischer, Allison D.
2009-01-01
Children sometimes solve problems incorrectly because they fail to represent key features of the problems. One potential source of improvements in children's problem representations is learning new problem-solving strategies. Ninety-one 3rd- and 4th-grade students solved mathematical equivalence problems (e.g., 3+4+6=3+__) and completed a…
a Numerical Method for Turbulent Combustion Problems
NASA Astrophysics Data System (ADS)
Song, Yu.
This dissertation presents a random numerical method which combines a random vortex method and a random choice method. With the assumption of incompressibility, the equations governing the fluid motion can be uncoupled from the equations governing the chemical reaction. A hybrid random vortex method is used for solving Navier -Stokes equation which governs the fluid motion. Combustion process is governed by reaction-diffusion system for the conservation of energy and the various chemical species participating in reaction. A random choice method is used for the modeling reaction-diffusion equations. The random choice method is tested and the numerical solutions are compared with the results by either the other numerical methods or exact solutions, good improvement and agreement have been obtained. For physical problem in two or more space dimensions, extension of the random choice method requires splitting the source terms into an x-sweep followed by a y-sweep. The splitting of the source term is also examined for an equation with an exact solution. The combustion model is applied to the problem of combustion in a circular cylinder with cylinder heated or kept cold. The flame profiles are obtained and effect of the turbulent is observed. The method is also applied to the ignition of a Bunsen burner. The correct modeling of mixing layer at the edge of the burner is found important in this application. Flame propagation profiles are obtained and have good agreement with experiments.
ERIC Educational Resources Information Center
Pol, Henk J.; Harskamp, Egbert G.; Suhre, Cor J. M.; Goedhart, Martin J.
2009-01-01
This study investigates the effectiveness of computer-delivered hints in relation to problem-solving abilities in two alternative indirect instruction schemes. In one instruction scheme, hints are available to students immediately after they are given a new problem to solve as well as after they have completed the problem. In the other scheme,…
ERIC Educational Resources Information Center
Math Forum @ Drexel, 2009
2009-01-01
Different techniques for understanding a problem can lead to ideas for never-used-before solutions. Good problem-solvers use a problem-solving strategy and may come back to it frequently while they are working on the problem to refine their strategy, see if they can find better solutions, or find other questions. Writing is an integral part of…
NASA Astrophysics Data System (ADS)
Swaidan, Waleeda; Hussin, Amran
2015-10-01
Most direct methods solve finite time horizon optimal control problems with nonlinear programming solver. In this paper, we propose a numerical method for solving nonlinear optimal control problem with state and control inequality constraints. This method used quasilinearization technique and Haar wavelet operational matrix to convert the nonlinear optimal control problem into a quadratic programming problem. The linear inequality constraints for trajectories variables are converted to quadratic programming constraint by using Haar wavelet collocation method. The proposed method has been applied to solve Optimal Control of Multi-Item Inventory Model. The accuracy of the states, controls and cost can be improved by increasing the Haar wavelet resolution.
A Decision Support System for Solving Multiple Criteria Optimization Problems
ERIC Educational Resources Information Center
Filatovas, Ernestas; Kurasova, Olga
2011-01-01
In this paper, multiple criteria optimization has been investigated. A new decision support system (DSS) has been developed for interactive solving of multiple criteria optimization problems (MOPs). The weighted-sum (WS) approach is implemented to solve the MOPs. The MOPs are solved by selecting different weight coefficient values for the criteria…
Problem-Solving Test: Southwestern Blotting
ERIC Educational Resources Information Center
Szeberényi, József
2014-01-01
Terms to be familiar with before you start to solve the test: Southern blotting, Western blotting, restriction endonucleases, agarose gel electrophoresis, nitrocellulose filter, molecular hybridization, polyacrylamide gel electrophoresis, proto-oncogene, c-abl, Src-homology domains, tyrosine protein kinase, nuclear localization signal, cDNA,…
The influence of nonreportable primes on problem solving
Schumacher, Jay Scott
1994-01-01
The purpose of the study was to investigate unconscious priming effects in a problem solving context. The influence of unconscious priming on solution rates of Remote Associate Test problems (RAT) was investigated in a ...
E 101: Introduction to Engineering & Problem Solving College of Engineering
Hunt, William F.
a working model, understand key concepts of engineering ethics present engineering problems and solutionsE 101: Introduction to Engineering & Problem Solving College of Engineering Fall 2008 Sections Monday (Section 003) Engineering Ambassador: Highly qualified undergraduate engineering students
Creativity and Problem Solving: The Challenge for HRD Professionals.
ERIC Educational Resources Information Center
King, Susan C.
1998-01-01
Addresses these questions: Who can solve problems? What is creativity? How can human resource development foster an environment that nourishes creativity? Describes approaches--problem centering, encouraging learning-theory perspective, mentoring, and diversity. (SK)
Qin, Yulin; Xiang, Jie; Wang, Rifeng; Zhou, Haiyan; Li, Kuncheng; Zhong, Ning
2012-12-01
Newell and Simon postulated that the basic steps in human problem-solving involve iteratively applying operators to transform the state of the problem to eventually achieve a goal. To check the neural basis of this framework, the present study focused on the basic processes in human heuristic problem-solving that the participants identified the current problem state and then recalled and applied the corresponding heuristic rules to change the problem state. A new paradigm, solving simplified Sudoku puzzles, was developed for an event-related functional magnetic resonance imaging (fMRI) study in problem solving. Regions of interest (ROIs), including the left prefrontal cortex, the bilateral posterior parietal cortex, the anterior cingulated cortex, the bilateral caudate nuclei, the bilateral fusiform, as well as the bilateral frontal eye fields, were found to be involved in the task. To obtain convergent evidence, in addition to traditional statistical analysis, we used the multivariate voxel classification method to check the accuracy of the predictions for the condition of the task from the blood oxygen level dependent (BOLD) response of the ROIs, using a new classifier developed in this study for fMRI data. To reveal the roles that the ROIs play in problem solving, we developed an ACT-R computational model of the information-processing processes in human problem solving, and tried to predict the BOLD response of the ROIs from the task. Advances in human problem-solving research after Newell and Simon are then briefly discussed. PMID:26272761
Building Problem-Solving Skills in PhysicsFirst Classroom
NASA Astrophysics Data System (ADS)
Korsunsky, Boris M.
2006-12-01
One of the common objections to teaching PhysicsFirst is that the limited mathematics background of high-school freshmen does not allow for rigorous problem-solving. I argue that problem solving can, in fact, be a central part of a freshman physics course and that the lack of cognitive maturity and certain skills, rather than that of mathematics knowledge, is the main limiting issue. I will present several teaching techniques that I have found useful as well as examples of fairly challenging problems that have been solved (or NOT solved despite all the effort) in my Honors Physics freshman classes.
Iterative Methods for Solving Nonlinear Parabolic Problem in Pension Saving Management
NASA Astrophysics Data System (ADS)
Koleva, M. N.
2011-11-01
In this work we consider a nonlinear parabolic equation, obtained from Riccati like transformation of the Hamilton-Jacobi-Bellman equation, arising in pension saving management. We discuss two numerical iterative methods for solving the model problem—fully implicit Picard method and mixed Picard-Newton method, which preserves the parabolic characteristics of the differential problem. Numerical experiments for comparison the accuracy and effectiveness of the algorithms are discussed. Finally, observations are given.
High School Students' Use of Meiosis When Solving Genetics Problems.
ERIC Educational Resources Information Center
Wynne, Cynthia F.; Stewart, Jim; Passmore, Cindy
2001-01-01
Paints a different picture of students' reasoning with meiosis as they solved complex, computer-generated genetics problems, some of which required them to revise their understanding of meiosis in response to anomalous data. Students were able to develop a rich understanding of meiosis and can utilize that knowledge to solve genetics problems.…
Engineering students' experiences and perceptions of workplace problem solving
NASA Astrophysics Data System (ADS)
Pan, Rui
In this study, I interviewed 22 engineering Co-Op students about their workplace problem solving experiences and reflections and explored: 1) Of Co-Op students who experienced workplace problem solving, what are the different ways in which students experience workplace problem solving? 2) How do students perceive a) the differences between workplace problem solving and classroom problem solving and b) in what areas are they prepared by their college education to solve workplace problems? To answer my first research question, I analyzed data through the lens of phenomenography and I conducted thematic analysis to answer my second research question. The results of this study have implications for engineering education and engineering practice. Specifically, the results reveal the different ways students experience workplace problem solving, which provide engineering educators and practicing engineers a better understanding of the nature of workplace engineering. In addition, the results indicate that there is still a gap between classroom engineering and workplace engineering. For engineering educators who aspire to prepare students to be future engineers, it is imperative to design problem solving experiences that can better prepare students with workplace competency.
Use of the Computer in Solving Mathematics Problems.
ERIC Educational Resources Information Center
Brooks, Sarah
Computer programing and problem-solving steps in mathematics are viewed to have related concepts. Some heuristics are compared with some suggestions for structured programing. The one fundamental difference between problem solving in general and when using the computer is seen as the computer solution must be finite. The computer is viewed as a…
Assessing Creative Problem-Solving with Automated Text Grading
ERIC Educational Resources Information Center
Wang, Hao-Chuan; Chang, Chun-Yen; Li, Tsai-Yen
2008-01-01
The work aims to improve the assessment of creative problem-solving in science education by employing language technologies and computational-statistical machine learning methods to grade students' natural language responses automatically. To evaluate constructs like creative problem-solving with validity, open-ended questions that elicit…
Problem Solving in Genetics: Conceptual and Procedural Difficulties
ERIC Educational Resources Information Center
Karagoz, Meryem; Cakir, Mustafa
2011-01-01
The purpose of this study was to explore prospective biology teachers' understandings of fundamental genetics concepts and the association between misconceptions and genetics problem solving abilities. Specifically, the study describes conceptual and procedural difficulties which influence prospective biology teachers' genetics problem solving…
Prospective Teachers' Problem Solving Skills and Self-Confidence Levels
ERIC Educational Resources Information Center
Gursen Otacioglu, Sena
2008-01-01
The basic objective of the research is to determine whether the education that prospective teachers in different fields receive is related to their levels of problem solving skills and self-confidence. Within the mentioned framework, the prospective teachers' problem solving and self-confidence levels have been examined under several variables.…
Autobiographical Memory and Social Problem-Solving in Asperger Syndrome
ERIC Educational Resources Information Center
Goddard, Lorna; Howlin, Patricia; Dritschel, Barbara; Patel, Trishna
2007-01-01
Difficulties in social interaction are a central feature of Asperger syndrome. Effective social interaction involves the ability to solve interpersonal problems as and when they occur. Here we examined social problem-solving in a group of adults with Asperger syndrome and control group matched for age, gender and IQ. We also assessed…
Puzzling Science: Using the Rubik's Cube to Teach Problem Solving
ERIC Educational Resources Information Center
Rohrig, Brian
2010-01-01
A major goal of education is to help learners store information in long-term memory and use that information on later occasions to effectively solve problems (Vockell 2010). Therefore, this author began to use the Rubik's cube to help students learn to problem solve. There is something special about this colorful three-dimensional puzzle that…
Improving Students' Ability To Problem Solve through Social Skills Instruction.
ERIC Educational Resources Information Center
Hopp, Mary Ann; Horn, Cheryl L.; McGraw, Kelleen; Meyer, Jenny
When elementary and middle level students lack effective problem-solving skills, they may make poor behavior choices in social conflicts, contributing to a negative learning and instructional environment. This action research project evaluated the impact of using social skills instruction to improve students' ability to solve problems related to…
Interpersonal Problem-Solving Skills of Hyperactive Children.
ERIC Educational Resources Information Center
Almeida, M. Connie
The relationship between interpersonal cognitive problem-solving (ICPS) skills and the behavioral adjustment of 30 hyperactive boys (from 5.5 to 12.5 years of age) was examined. Each S was individually administered two problem solving measures to assess alternative thinking and means-end thinking. The childrens' self-concept was also assessed and…
Interpersonal Problem Solving Intervention for Mother and Child.
ERIC Educational Resources Information Center
Shure, Myrna, B.; Spivack, George
This study examined the effects of interpersonal cognitive problem solving (ICPS) training for inner city mothers on the problem-solving skills and behaviors of their children. Twenty black mother-child pairs received training and 20 pairs matched in ICPS ability served as controls. The children were of comparable mean age (4.3 years), school…
Interpersonal Problem Solving and Prevention in Urban School Children.
ERIC Educational Resources Information Center
Shure, Myrna B.; Healey, Kathryn N.
Recognizing that enhancing the interpersonal problem solving skills of children as young as age four can reduce or prevent high-risk behaviors later on, researchers designed a competence-building model of primary prevention. The two criteria tested were: (1) the theory of interpersonal cognitive problem solving (ICPS) skills as mediators of social…
Peer Instruction Enhanced Meaningful Learning: Ability to Solve Novel Problems
ERIC Educational Resources Information Center
Cortright, Ronald N.; Collins, Heidi L.; DiCarlo, Stephen E.
2005-01-01
Students must be able to interpret, relate, and incorporate new information with existing knowledge and apply the new information to solve novel problems. Peer instruction is a cooperative learning technique that promotes critical thinking, problem solving, and decision-making skills. Therefore, we tested the hypothesis that peer instruction…
ENVIRONMENTAL PROBLEM SOLVING WITH GEOGRAPHIC INFORMATION SYSTEMS: A NATIONAL CONFERENCE
This conference will provide a forum for the exchange of information on the use of GIS as a tool in environmental problem solving. Solving environmental problems has become more complex with consideration of cross-media pollutant transport and watershed-based decision-making. T...
Facilitating Flexible Problem Solving: A Cognitive Load Perspective
ERIC Educational Resources Information Center
Kalyuga, Slava; Renkl, Alexander; Paas, Fred
2010-01-01
The development of flexible, transferable problem-solving skills is an important aim of contemporary educational systems. Since processing limitations of our mind represent a major factor influencing any meaningful learning, the acquisition of flexible problem-solving skills needs to be based on known characteristics of our cognitive architecture…
Fostering Problem-Solving in a Virtual Environment
ERIC Educational Resources Information Center
Morin, Danielle; Thomas, Jennifer D. E.; Saadé, Raafat George
2015-01-01
This article investigates students' perceptions of the relationship between Problem-Solving and the activities and resources used in a Web-based course on the fundamentals of Information Technology at a university in Montreal, Canada. We assess for the different learning components of the course, the extent of perceived problem-solving skills…
Problem Solving: Getting to the Heart of Mathematics.
ERIC Educational Resources Information Center
Jarrett, Denise, Ed.
2000-01-01
This publication features articles that illustrate how several Northwest teachers are using problem solving to achieve rigorous and imaginative learning in their classrooms. Articles include: (1) "Open-Ended Problem Solving: Weaving a Web of Ideas" (Denise Jarrett); (2) "Teenager or Tyke, Students Learn Best by Tackling Challenging Math" (Suzie…
Reading-Enhanced Word Problem Solving: A Theoretical Model
ERIC Educational Resources Information Center
Capraro, Robert M.; Capraro, Mary Margaret; Rupley, William H.
2012-01-01
There is a reciprocal relationship between mathematics and reading cognition. Metacognitive training within reading-enhanced problem solving should facilitate students developing an awareness of what good readers do when reading for meaning in solving mathematical problems enabling them to apply these strategies. The constructs for each cognitive…
Effects of Problem-Solving Strategies on Different Ability Levels.
ERIC Educational Resources Information Center
Nichols, Teresa M.
To determine if differing ability levels will affect the acquisition of problem-solving skills and self-esteem as a result of participation in two approaches to teaching problem-solving skills, a study was conducted with sixth graders in a posttest-only control group experimental design. Subjects were 102 sixth graders randomly assigned to 5…
Chaining in Problem Solving: A Critique and Reinvestigation.
ERIC Educational Resources Information Center
Blumberg, Phyllis
This study investigated the question of whether young children can form response chains in problem solving. After reviewing the literature relating to chaining as a component of problem solving, the author argues that a test of chaining should be free of requirements to recall previously learned material, remember general information, or apply…
Problem Solving And Prewriting; Mental Play in the Writing Class.
ERIC Educational Resources Information Center
McGlinn, James E.; McGlinn, Jeanne M.
Creative problem-solving can be used successfully in the writing classroom, for the problem-solving process involves three distinctive stages of thinking activity that remarkably parallel the prewriting steps in the composing process. Similar stages include: (1) data generation and preparation to write; (2) data manipulation and incubation; and…
A New Approach: Computer-Assisted Problem-Solving Systems
ERIC Educational Resources Information Center
Gok, Tolga
2010-01-01
Computer-assisted problem solving systems are rapidly growing in educational use and with the advent of the Internet. These systems allow students to do their homework and solve problems online with the help of programs like Blackboard, WebAssign and LON-CAPA program etc. There are benefits and drawbacks of these systems. In this study, the…
Problem Solving and Collaboration Using Mobile Serious Games
ERIC Educational Resources Information Center
Sanchez, Jaime; Olivares, Ruby
2011-01-01
This paper presents the results obtained with the implementation of a series of learning activities based on Mobile Serious Games (MSGs) for the development of problem solving and collaborative skills in Chilean 8th grade students. Three MSGs were developed and played by teams of four students in order to solve problems collaboratively. A…
Constructing Pedagogical Knowledge of Problem Solving: Preservice Mathematics Teachers
ERIC Educational Resources Information Center
Chapman, Olive
2005-01-01
The paper reports a study of the knowledge preservice secondary school mathematics teachers [PSSMT] hold of problem solving and the role of a reflective-inquiry approach in creating self-awareness of, and in enhancing, this knowledge. The approach included solving problems, narratives, flow charts and observations. The finding shows that the…
Mathematics Circles: A Structured Approach to Problem Solving
ERIC Educational Resources Information Center
Kridler, Patricia G.; Moyer-Packenham, Patricia S.
2008-01-01
To guide problem-solving activities in the classroom, this article presents a strategy similar to the reading model found in literature circles. The goal of mathematics circles is to provide guidance and structure to problem-solving activities so that students can internalize the strategies needed for them to develop into mathematicians. (Contains…
Computers and Problem Solving for Sixth-Grade.
ERIC Educational Resources Information Center
Oughton, John M.
1995-01-01
Presents a curriculum unit designed for average sixth-grade students intended to engage them in problem-solving experiences and to teach them problem-solving strategies. The curriculum consists of 20 sessions in which students engage in various activities using the following software packages: The Adventures of Jasper Woodbury, Rescue at Boone's…
Future Problem Solving: Taking It beyond the Classroom.
ERIC Educational Resources Information Center
Hibel, John
1991-01-01
A former participant in the Future Problem Solving Program reminisces about his experience in local and national competitions, describes the program's unique features (its emphasis on creativity and focus on the future), and notes the usefulness of the problem-solving process in his work with the Corporate Audit Staff of General Electric. (JDD)
Social Problem Solving and Aggression: The Role of Depression
ERIC Educational Resources Information Center
Ozdemir, Yalcin; Kuzucu, Yasar; Koruklu, Nermin
2013-01-01
The purpose of the present study was to examine direct and indirect relations among social problem-solving, depression, and aggression, as well as the mediating role of depression in the link between social problem-solving and aggression among Turkish youth. Data for the present study were collected from 413 adolescents. The participants' age…
Relationship between Problem-Solving Style and Mathematical Literacy
ERIC Educational Resources Information Center
Tai, Wen-Chun; Lin, Su-Wei
2015-01-01
Currently, mathematics education is focused on ensuring that students can apply the knowledge and skills they learn to everyday life; students are expected to develop their problem-solving abilities to face challenges by adopting various perspectives. When faced with a problem, students may employ different methods or patterns to solve it. If this…
Use of External Visual Representations in Probability Problem Solving
ERIC Educational Resources Information Center
Corter, James E.; Zahner, Doris C.
2007-01-01
We investigate the use of external visual representations in probability problem solving. Twenty-six students enrolled in an introductory statistics course for social sciences graduate students (post-baccalaureate) solved eight probability problems in a structured interview format. Results show that students spontaneously use self-generated…
ROBOTS IN PROBLEM-SOLVING AND PROGRAMMING. Scott Turner
Hill, Gary
82 ROBOTS IN PROBLEM-SOLVING AND PROGRAMMING. Scott Turner University of Northampton Avenue Campus based on using Mindstorm (LEGO, Denmark) robot kits. This is being done as a foundation step before experience, problem-solving, robots, Java. INTRODUCTION Mindstorm based robots have been used previously
The Effects of Age on Perceptual Problem-Solving Strategies.
ERIC Educational Resources Information Center
Lee, Jo Ann; Pollack, Robert H.
Witkin's Embedded Figures Test (EFT) was used to measure the changes with age in field dependence and problem-solving ability. Qualitative data concerning problem-solving strategies and quantitative data were collected. EFT was administered to 12 females in each of the following decades: 20s, 30s, 40s, 50s, 60s, 70s. All subjects were moderately…
Monitoring Affect States during Effortful Problem Solving Activities
ERIC Educational Resources Information Center
D'Mello, Sidney K.; Lehman, Blair; Person, Natalie
2010-01-01
We explored the affective states that students experienced during effortful problem solving activities. We conducted a study where 41 students solved difficult analytical reasoning problems from the Law School Admission Test. Students viewed videos of their faces and screen captures and judged their emotions from a set of 14 states (basic…
The Method To Acquire the Strategic Knowledge on Problem Solving.
ERIC Educational Resources Information Center
Takaoka, Ryo; Okamoto, Toshio
As a person learns, his problem solving ability improves and one reason for this is the increased acquisition of "macro-rules" which make problem solving more efficient. An intelligent computer assisted learning (ICAI) system is being developed which automatically acquires the useful knowledge from the domain experts; as experts give the learning…
Extricating Justification Scheme Theory in Middle School Mathematical Problem Solving
ERIC Educational Resources Information Center
Matteson, Shirley; Capraro, Mary Margaret; Capraro, Robert M.; Lincoln, Yvonna S.
2012-01-01
Twenty middle grades students were interviewed to gain insights into their reasoning about problem-solving strategies using a Problem Solving Justification Scheme as our theoretical lens and the basis for our analysis. The scheme was modified from the work of Harel and Sowder (1998) making it more broadly applicable and accounting for research…
Dmitriy Y. Anistratov; Adrian Constantinescu; Loren Roberts; William Wieselquist
2007-04-30
This is a project in the field of fundamental research on numerical methods for solving the particle transport equation. Numerous practical problems require to use unstructured meshes, for example, detailed nuclear reactor assembly-level calculations, large-scale reactor core calculations, radiative hydrodynamics problems, where the mesh is determined by hydrodynamic processes, and well-logging problems in which the media structure has very complicated geometry. Currently this is an area of very active research in numerical transport theory. main issues in developing numerical methods for solving the transport equation are the accuracy of the numerical solution and effectiveness of iteration procedure. The problem in case of unstructured grids is that it is very difficult to derive an iteration algorithm that will be unconditionally stable.
ERIC Educational Resources Information Center
Chen, Limin; Van Dooren, Wim; Chen, Qi; Verschaffel, Lieven
2011-01-01
In the present study, which is a part of a research project about realistic word problem solving and problem posing in Chinese elementary schools, a problem solving and a problem posing test were administered to 128 pre-service and in-service elementary school teachers from Tianjin City in China, wherein the teachers were asked to solve 3…
Social Problem Solving, Conduct Problems, and Callous-Unemotional Traits in Children
ERIC Educational Resources Information Center
Waschbusch, Daniel A.; Walsh, Trudi M.; Andrade, Brendan F.; King, Sara; Carrey, Normand J.
2007-01-01
This study examined the association between social problem solving, conduct problems (CP), and callous-unemotional (CU) traits in elementary age children. Participants were 53 children (40 boys and 13 girls) aged 7-12 years. Social problem solving was evaluated using the Social Problem Solving Test-Revised, which requires children to produce…
THE ROLE OF PROBLEM SOLVING IN COMPLEX INTRAVERBAL REPERTOIRES
Sautter, Rachael A; LeBlanc, Linda A; Jay, Allison A; Goldsmith, Tina R; Carr, James E
2011-01-01
We examined whether typically developing preschoolers could learn to use a problem-solving strategy that involved self-prompting with intraverbal chains to provide multiple responses to intraverbal categorization questions. Teaching the children to use the problem-solving strategy did not produce significant increases in target responses until problem solving was modeled and prompted. Following the model and prompts, all participants showed immediate significant increases in intraverbal categorization, and all prompts were quickly eliminated. Use of audible self-prompts was evident initially for all participants, but declined over time for 3 of the 4 children. Within-session response patterns remained consistent with use of the problem-solving strategy even when self-prompts were not audible. These findings suggest that teaching and prompting a problem-solving strategy can be an effective way to produce intraverbal categorization responses. PMID:21709781
Solving seismological problems using sgraph program: II-waveform modeling
Abdelwahed, Mohamed F.
2012-09-26
One of the seismological programs to manipulate seismic data is SGRAPH program. It consists of integrated tools to perform advanced seismological techniques. SGRAPH is considered a new system for maintaining and analyze seismic waveform data in a stand-alone Windows-based application that manipulate a wide range of data formats. SGRAPH was described in detail in the first part of this paper. In this part, I discuss the advanced techniques including in the program and its applications in seismology. Because of the numerous tools included in the program, only SGRAPH is sufficient to perform the basic waveform analysis and to solve advanced seismological problems. In the first part of this paper, the application of the source parameters estimation and hypocentral location was given. Here, I discuss SGRAPH waveform modeling tools. This paper exhibits examples of how to apply the SGRAPH tools to perform waveform modeling for estimating the focal mechanism and crustal structure of local earthquakes.
A finite difference method of solving anisotropic scattering problems
NASA Technical Reports Server (NTRS)
Barkstrom, B. R.
1976-01-01
A new method of solving radiative transfer problems is described including a comparison of its speed with that of the doubling method, and a discussion of its accuracy and suitability for computations involving variable optical properties. The method uses a discretization in angle to produce a coupled set of first-order differential equations which are integrated between discrete depth points to produce a set of recursion relations for symmetric and anti-symmetric angular sums of the radiation field at alternate depth points. The formulation given here includes depth-dependent anisotropic scattering, absorption, and internal sources, and allows arbitrary combinations of specular and non-Lambertian diffuse reflection at either or both boundaries. Numerical tests of the method show that it can return accurate emergent intensities even for large optical depths. The method is also shown to conserve flux to machine accuracy in conservative atmospheres
Problem Solved: How To Coach Cognition.
ERIC Educational Resources Information Center
Krynock, Karoline; Robb, Louise
1999-01-01
When faced with real-world problems, students devise accurate, logical, and creative solutions using skills connecting to different subject areas. Students are intrigued by assignments involving preservation of species and design of environmentally friendly products and transit systems. Problem-based learning depends on coaching, modeling, and…
Nuclear Teaching: Propaganda or Problem Solving?
ERIC Educational Resources Information Center
La Farge, Phyllis
1988-01-01
Describes how nuclear education has evolved into nuclear age education in an attempt to prepare young people to respond responsibly to world problems. Explains how positive and preventive emphases toward social issues have helped the growing acceptance of nuclear age and peace education. Discusses some remaining problems. (RT)
Calculus students' ability to solve geometric related-rates problems
NASA Astrophysics Data System (ADS)
Martin, Tami
2000-09-01
This study assessed the ability of university students enrolled in an introductory calculus course to solve related-rates problems set in geometric contexts. Students completed a problem-solving test and a test of performance on the individual steps involved in solving such problems. Each step was characterised as primarily relying on procedural knowledge or conceptual understanding. Results indicated that overall performance on the geometric related-rates problems was poor. The poorest performance was on steps linked to conceptual understanding, specifically steps involving the translation of prose to geometric and symbolic representations. Overall performance was most strongly related to performance on the procedural steps.
Solving Physics Problems--How Do We Do It?
ERIC Educational Resources Information Center
Fuller, Robert G.
1982-01-01
Discusses three avenues of problem-solving research: misconceiving natural laws, processing information, and constructing solutions. Suggests that the change in emphasis from problem to problem solver and the key role of "physics" problems are unifying aspects of the research. (JN)
Solving global environmental problems through technological innovation
Steinberg, M.
1990-03-01
Much of the environment problems arise from the supply and utilization of energy for industrial, transportation and domestic markets. The use of fossil fuels can result in environmental, atmospheric, and terrestrial problems, including organic, acid rain, and global warming hazards. Here I will address the CO{sub 2} global greenhouse problem and touch upon the nuclear industry and its dilemma as well. We recognize the possibility of global natural feedback phenomena which may limit and mitigate anthropomorphic global greenhouse climate change, however, here I am limiting the discussion to anthropomorphic (man made) technological mitigation process as opposed to adaptation which means adapting to change.
Cognitive functioning in mathematical problem solving during early adolescence
NASA Astrophysics Data System (ADS)
Collis, Kevin F.; Watson, Jane M.; Campbell, K. Jennifer
1993-12-01
Problem-solving in school mathematics has traditionally been considered as belonging only to the concrete symbolic mode of thinking, the mode which is concerned with making logical, analytical deductions. Little attention has been given to the place of the intuitive processes of the ikonic mode. The present study was designed to explore the interface between logical and intuitive processes in the context of mathematical problem solving. Sixteen Year 9 and 10 students from advanced mathematics classes were individually assessed while they solved five mathematics problems. Each student's problem-solving path, for each problem, was mapped according to the type of strategies used. Strategies were broadly classified into Ikonic (IK) or Concrete Symbolic (CS) categories. Students were given two types of problems to solve: (i) those most likely to attract a concrete symbolic approach; and (ii) problems with a significant imaging or intuitive component. Students were also assessed as to the vividness and controllability of their imaging ability, and their creativity. Results indicated that the nature of the problem is a basic factor in determining the type of strategy used for its solution. Students consistently applied CS strategies to CS problems, and IK strategies to IK problems. In addition, students tended to change modes significantly more often when solving CS-type problems than when solving IK-type problems. A switch to IK functioning appeared to be particularly helpful in breaking an unproductive set when solving a CS-type problem. Individual differences in strategy use were also found, with students high on vividness of imagery using IK strategies more frequently than students who were low on vividness. No relationship was found between IK strategy use and either students' degree of controllability of imagery or their level of creativity. The instructional implications of the results are discussed.
ERIC Educational Resources Information Center
Palumbo, Debra L; Palumbo, David B.
1993-01-01
Computer-based problem-solving software exposure was compared to Lego TC LOGO instruction. Thirty fifth graders received either Lego LOGO instruction, which couples Lego building block activities with LOGO computer programming, or instruction with various problem-solving computer programs. Although both groups showed significant progress, the Lego…
ERIC Educational Resources Information Center
Griesser, Sara Anne
Current mathematics education emphasizes the importance of a problem solving mindset in the classroom. Students need to know how they are going to use what they are learning in real life. The purpose of this study was to determine the effect of anchored problem solving instruction on middle school students' mathematical abilities. The researcher…
NASA Astrophysics Data System (ADS)
Ebomoyi, Josephine Itota
The objectives of this study were as follows: (1) Determine the relationship between learning strategies and performance in problem solving, (2) Explore the role of a student's declared major on performance in problem solving, (3) Understand the decision making process of high and low achievers during problem solving. Participants (N = 65) solved problems using the Interactive multimedia exercise (IMMEX) software. All participants not only solved "Microquest," which focuses on cellular processes and mode of action of antibiotics, but also "Creeping Crud," which focuses on the cause, origin and transmission of diseases. Participants also responded to the "Motivated Strategy Learning Questionnaire" (MSLQ). Hierarchical multiple regression was used for analysis with GPA (Gracie point average) as a control. There were 49 (78.6%) that successfully solved "Microquest" while 52 (82.5%) successfully solved "Creeping Crud". Metacognitive self regulation strategy was significantly (p < .10) related to ability to solve "Creeping Crud". Peer learning strategy showed a positive significant (p < .10) relationship with scores obtained from solving "Creeping Crud". Students' declared major made a significant (p < .05) difference on the ability to solve "Microquest". A subset (18) volunteered for a think aloud method to determine decision-making process. High achievers used fewer steps, and had more focused approach than low achievers. Common strategies and attributes included metacognitive skills, writing to keep track, using prior knowledge. Others included elements of frustration/confusion and self-esteem problems. The implications for educational and relevance to real life situations are discussed.
Internet computer coaches for introductory physics problem solving
NASA Astrophysics Data System (ADS)
Xu Ryan, Qing
The ability to solve problems in a variety of contexts is becoming increasingly important in our rapidly changing technological society. Problem-solving is a complex process that is important for everyday life and crucial for learning physics. Although there is a great deal of effort to improve student problem solving skills throughout the educational system, national studies have shown that the majority of students emerge from such courses having made little progress toward developing good problem-solving skills. The Physics Education Research Group at the University of Minnesota has been developing Internet computer coaches to help students become more expert-like problem solvers. During the Fall 2011 and Spring 2013 semesters, the coaches were introduced into large sections (200+ students) of the calculus based introductory mechanics course at the University of Minnesota. This dissertation, will address the research background of the project, including the pedagogical design of the coaches and the assessment of problem solving. The methodological framework of conducting experiments will be explained. The data collected from the large-scale experimental studies will be discussed from the following aspects: the usage and usability of these coaches; the usefulness perceived by students; and the usefulness measured by final exam and problem solving rubric. It will also address the implications drawn from this study, including using this data to direct future coach design and difficulties in conducting authentic assessment of problem-solving.
Aquarium Problems: How To Solve Them
ERIC Educational Resources Information Center
DeFilippo, Shirley
1975-01-01
Presents some solutions to problems commonly encountered in maintaining a classroom aquarium: pH control, overfeeding, overcrowding of tank populations, incorrect temperature settings, faulty introduction of fish into the tank, and the buildup of too many nitrogenous wastes. (PB)
An amoeboid algorithm for solving linear transportation problem
NASA Astrophysics Data System (ADS)
Gao, Cai; Yan, Chao; Zhang, Zili; Hu, Yong; Mahadevan, Sankaran; Deng, Yong
2014-03-01
Transportation Problem (TP) is one of the basic operational research problems, which plays an important role in many practical applications. In this paper, a bio-inspired mathematical model is proposed to handle the Linear Transportation Problem (LTP) in directed networks by modifying the original amoeba model Physarum Solver. Several examples are used to prove that the provided model can effectively solve Balanced Transportation Problem (BTP), Unbalanced Transportation Problem (UTP), especially the Generalized Transportation Problem (GTP), in a nondiscrete way.
Guides to solving the glass transition problem
NASA Astrophysics Data System (ADS)
Ngai, K. L.; Prevosto, D.; Capaccioli, S.; Roland, C. M.
2008-06-01
Relaxation in glass-forming substances is necessarily a many-body problem because of intermolecular interactions and constraints. Results from molecular dynamics simulations and experiments are used to reveal the critical elements and general effects originating from many-body relaxation, but not dealt with in conventional theories of the glass transition. Although many-body relaxation is still an unsolved problem in statistical mechanics, these critical elements and general effects will serve as guides to the construction of a satisfactory theory of the glass transition. This effort is aided by concepts drawn from the coupling model, whose predictions have been shown to be consistent with experimental facts.
AN APPLICATION OF THE DIFFERENCE POTENTIALS METHOD TO SOLVING EXTERNAL PROBLEMS IN CFD
Tsynkov, Semyon V.
AN APPLICATION OF THE DIFFERENCE POTENTIALS METHOD TO SOLVING EXTERNAL PROBLEMS IN CFD Victor S by the numerous computational experiments and espe- cially concerns the area of CFD, in which external problems and its in nite complement to the entire plane entire space Dex; the domains are separated by the arti
Solving Continuous-Time Optimal-Control Problems with a Spreadsheet.
ERIC Educational Resources Information Center
Naevdal, Eric
2003-01-01
Explains how optimal control problems can be solved with a spreadsheet, such as Microsoft Excel. Suggests the method can be used by students, teachers, and researchers as a tool to find numerical solutions for optimal control problems. Provides several examples that range from simple to advanced. (JEH)
ERIC Educational Resources Information Center
Zazkis, Rina; Khoury, Helen A.
1993-01-01
This study examined the problem-solving strategies and systematic errors of (n=82) preservice elementary school teachers related to place value concepts and decimal representations of rational numbers. Problems were posed in the unfamiliar domain of numeration systems with bases other than base ten. (Contains 13 references.) (MKR)
Solving the 10 Most Common Carpet Problems.
ERIC Educational Resources Information Center
Hilton, Michael
1998-01-01
Identifies the 10 most common carpet problems in school facilities and offers solutions. These include: transition areas, moisture, spot removal, recurring spots, cleaning agents, allergens, wicking, biological contamination, equipment selection, and cleaning methods. Ensuring a successful maintenance program results in satisfactory appearance,…
LXCDM cosmologies: solving the cosmological coincidence problem?
Javier Grande; Joan Sola; Hrvoje Stefancic
2006-09-25
We explore the possibility of having a composite (self-conserved) dark energy (DE) whose dynamics is controlled by the quantum running of the cosmological parameters. We find that within this scenario it is feasible to find an explanation for the cosmological coincidence problem and at the same time a good qualitative description of the present data.
Solving multiple knapsack problems by cutting planes
Martin, A.; Ferreira, C.E.; Weismantel, R.
1994-12-31
In this talk we consider the multiple Knapsack Problem which is defined as follows: Given a set N of items with weights f{sub i}, i {element_of} N, a set M of knapsacks with capacities F{sub k}, k {element_of} M, and a profit function c{sub ik}, i {element_of} N, k {element_of} N, k {element_of} M; find an assignment of a subset of the set of items to the set of knapsacks that yields maximum profit (or minimum cost). This problem arises as a subproblem in several practical applications like layout of electronic circuits and design of processors for mainframe computers. With every instance of this problem we associated a polyhedron whose vertices are in one to one correspondence to the feasible solutions of the instance. For this polytope we present several new classes of inequalities and work out necessary and sufficient conditions under which the corresponding inequalities define facets. We use this inequality description to develop a branch and cut algorithm. We will sketch some of the implementation details of this algorithm including separation and primal heuristics and report on our computational experiences with several practical problems instances.
Solving the Problem of Nonadherence to Immunotherapy.
Bender, Bruce G; Lockey, Richard F
2016-02-01
Allergen immunotherapy (AIT) can improve allergic response by modifying the underlying disease. Many patients are nonadherent, and do not achieve full benefit. Numerous studies reveal that fewer than 10% of patients complete a full course and that most abandon treatment in the first year. The development and testing of interventions to improve AIT are emerging. Data from adherence interventions in other chronic conditions provide guidance to allergists/immunologists. Evidence-based communication strategies-patient-centered care, motivational interviewing, and shared-decision making-underscore the importance of taking time to establish trust, understand patient concerns and priorities, and involve the patient in decisions regarding AIT. PMID:26617236
Modeling crowdsourcing as collective problem solving.
Guazzini, Andrea; Vilone, Daniele; Donati, Camillo; Nardi, Annalisa; Levnaji?, Zoran
2015-01-01
Crowdsourcing is a process of accumulating the ideas, thoughts or information from many independent participants, with aim to find the best solution for a given challenge. Modern information technologies allow for massive number of subjects to be involved in a more or less spontaneous way. Still, the full potentials of crowdsourcing are yet to be reached. We introduce a modeling framework through which we study the effectiveness of crowdsourcing in relation to the level of collectivism in facing the problem. Our findings reveal an intricate relationship between the number of participants and the difficulty of the problem, indicating the optimal size of the crowdsourced group. We discuss our results in the context of modern utilization of crowdsourcing. PMID:26552943
Modeling crowdsourcing as collective problem solving
Guazzini, Andrea; Vilone, Daniele; Donati, Camillo; Nardi, Annalisa; Levnaji?, Zoran
2015-01-01
Crowdsourcing is a process of accumulating the ideas, thoughts or information from many independent participants, with aim to find the best solution for a given challenge. Modern information technologies allow for massive number of subjects to be involved in a more or less spontaneous way. Still, the full potentials of crowdsourcing are yet to be reached. We introduce a modeling framework through which we study the effectiveness of crowdsourcing in relation to the level of collectivism in facing the problem. Our findings reveal an intricate relationship between the number of participants and the difficulty of the problem, indicating the optimal size of the crowdsourced group. We discuss our results in the context of modern utilization of crowdsourcing. PMID:26552943
Modeling crowdsourcing as collective problem solving
NASA Astrophysics Data System (ADS)
Guazzini, Andrea; Vilone, Daniele; Donati, Camillo; Nardi, Annalisa; Levnaji?, Zoran
2015-11-01
Crowdsourcing is a process of accumulating the ideas, thoughts or information from many independent participants, with aim to find the best solution for a given challenge. Modern information technologies allow for massive number of subjects to be involved in a more or less spontaneous way. Still, the full potentials of crowdsourcing are yet to be reached. We introduce a modeling framework through which we study the effectiveness of crowdsourcing in relation to the level of collectivism in facing the problem. Our findings reveal an intricate relationship between the number of participants and the difficulty of the problem, indicating the optimal size of the crowdsourced group. We discuss our results in the context of modern utilization of crowdsourcing.
Solve valve noise and cavitation problems
Baumann, H.D.
1997-03-01
A clear understanding of aerodynamic noise theory and cavitation will avoid most major valve problems in process plants and allow the valve engineer to design out potential problems. On the other hand, the plant owner has to recognize that such valves may require a cost premium. However, such a premium will be recovered in a small amount of time because of the savings from reduced downtime and lower maintenance costs. Pressure reducing valves used on gases or high pressure steam valves, such as turbine bypass valves, convert substantial energy into heat and a lower pressure level. Unfortunately, this can only be done by accelerating the gas in one or more orifices and then decelerating it rapidly again through a turbulence mechanism or super-sonic shock cells. This causes a lot of noise and vibration. Valve engineering science has made substantial strides in the past few years, and one is now able to predict cavitation and aerodynamic sound levels before a valve is purchased. Similarly, newer valve sizes incorporate features that reduce noise and cavitation effects. Some other minor problems are resonant plug vibration and flashing. The paper discusses how to predict aerodynamic sound, how close can one estimate the sound level, cavitation, and incorrect installation.
NUMERICAL SOLUTION OF TWO-PHASE FLOW PROBLEMS
2008-08-23
gravity, and some mass transfer (using at least a black-oil system). Further, modern simulators frequently deal with three phases and are increasingly used to solve problems in ... certainly more clearly, described in terms of the simpler two-phase ... numerical procedures must be based on methods which work for the in-.
NASA Astrophysics Data System (ADS)
Jeon, Kyungmoon; Huffman, Douglas; Noh, Taehee
2005-10-01
This study investigated the effects of a thinking aloud pair problem solving (TAPPS) approach on students' chemistry problem-solving performance and verbal interactions. A total of 85 eleventh grade students from three classes in a Korean high school were randomly assigned to one of three groups; either individually using a problem-solving strategy, using a problem-solving strategy with TAPPS, or the control group. After instruction, students' problem-solving performance was examined. The results showed that students in both the individual and TAPPS groups performed better than those in the control group on recalling the related law and mathematical execution, while students in the TAPPS group performed better than those in the other groups on conceptual knowledge. To investigate the verbal behaviors using TAPPS, verbal behaviors of solvers and listeners were classified into 8 categories. Listeners' verbal behavior of "agreeing" and "pointing out", and solvers' verbal behavior of "modifying" were positively related with listeners' problem-solving performance. There was, however, a negative correlation between listeners' use of "point out" and solvers' problem-solving performance. The educational implications of this study are discussed.
Cooperative Information Gathering: A Distributed Problem Solving Approach
Massachusetts at Amherst, University of
Cooperative Information Gathering: A Distributed Problem Solving Approach Tim Oates, M. V. Nagendra be tween two approaches to the problem of information gathering that may be characterized of problems that point to the need for a DPS approach, and discuss the benefits of viewing information
Cooperative Information Gathering: A Distributed Problem Solving Approach
Massachusetts at Amherst, University of
Cooperative Information Gathering: A Distributed Problem Solving Approach Tim Oates, M. V. Nagendra be- tween two approaches to the problem of information gathering that may be characterized of problems that point to the need for a DPS approach, and discuss the bene ts of viewing information
Problem Solving in Student Police Officers' Professional Development
ERIC Educational Resources Information Center
Zascerinska, Jelena; Zascerinskis, Mihails
2011-01-01
Introduction: The success of human safety requires the ability of police officers in problem solving within continuing professional development to be considered. Aim of the study: To analyze problem based teaching and learning in tertiary education within continuing professional development. Materials and methods: The search for problem based…
Productive and Re-Productive Thinking in Solving Insight Problems
ERIC Educational Resources Information Center
Cunningham, J. Barton; MacGregor, James N.
2014-01-01
Many innovations in organizations result when people discover insightful solutions to problems. Insightful problem-solving was considered by Gestalt psychologists to be associated with productive, as opposed to re-productive, thinking. Productive thinking is characterized by shifts in perspective which allow the problem solver to consider new,…
Arithmetic Word-Problem-Solving in Huntington's Disease
ERIC Educational Resources Information Center
Allain, P.; Verny, C.; Aubin, G.; Pinon, K.; Bonneau, D.; Dubas, F.; Gall, D.L.
2005-01-01
The purpose of this study was to examine executive functioning in patients with Huntington's disease using an arithmetic word-problem-solving task including eight solvable problems of increasing complexity and four aberrant problems. Ten patients with Huntington's disease and 12 normal control subjects matched by age and education were tested.…
COMPLEX WAVELET REGULARIZATION FOR SOLVING INVERSE PROBLEMS IN REMOTE SENSING
Weiss, Pierre
COMPLEX WAVELET REGULARIZATION FOR SOLVING INVERSE PROBLEMS IN REMOTE SENSING Mika¨el Carlavan Sophia-Antipolis - France ABSTRACT Many problems in remote sensing can be modeled as the min- imization processing: sparsity and regular- ity priors. 1. INTRODUCTION Some problems in remote sensing consist
Different Procedures for Solving Mathematical Word Problems in High School
ERIC Educational Resources Information Center
Gasco, Javier; Villarroel, Jose Domingo; Zuazagoitia, Dani
2014-01-01
The teaching and learning of mathematics cannot be understood without considering the resolution of word problems. These kinds of problems not only connect mathematical concepts with language (and therefore with reality) but also promote the learning related to other scientific areas. In primary school, problems are solved by using basic…
The Senior Experience: Applied, Team Problem Solving in Business Education.
ERIC Educational Resources Information Center
Jessup, Leonard M.
1995-01-01
A yearlong senior experience course requires teams of business students to solve real problems for organizations in the community. Students enhanced responsibility, confidence, and organizational skills. Problems centered on differentiating the course from internships and improving staffing. Students had problems with group dynamics, team…
Solving the ANTS Problem with Asynchronous Finite State Machines
Solving the ANTS Problem with Asynchronous Finite State Machines Yuval Emek, Tobias Langner, Jara + D) #12;Previous Work ANTS problem (Ants Nearby Treasure Search) introduced by Feinerman, Korman, Lotker, Sereni [PODC 2012] = #12;Previous Work ANTS problem (Ants Nearby Treasure Search) introduced
Arithmetic Word Problem Solving: A Situation Strategy First Framework
ERIC Educational Resources Information Center
Brissiaud, Remi; Sander, Emmanuel
2010-01-01
Before instruction, children solve many arithmetic word problems with informal strategies based on the situation described in the problem. A Situation Strategy First framework is introduced that posits that initial representation of the problem activates a situation-based strategy even after instruction: only when it is not efficient for providing…
ORIGINAL PAPER Testing problem solving in turkey vultures (Cathartes aura)
ORIGINAL PAPER Testing problem solving in turkey vultures (Cathartes aura) using the string solving in turkey vultures (Cathartes aura), six captive vultures were presented with a string it under foot, and reach down to pull up another length. As scavengers, turkey vultures use their beak
Is Word-Problem Solving a Form of Text Comprehension?
ERIC Educational Resources Information Center
Fuchs, Lynn S.; Fuchs, Douglas; Compton, Donald L.; Hamlett, Carol L.; Wang, Amber Y.
2015-01-01
This study's hypotheses were that (a) word-problem (WP) solving is a form of text comprehension that involves language comprehension processes, working memory, and reasoning, but (b) WP solving differs from other forms of text comprehension by requiring WP-specific language comprehension as well as general language comprehension. At the start of…
Procedural and Conceptual Changes in Young Children's Problem Solving
ERIC Educational Resources Information Center
Voutsina, Chronoula
2012-01-01
This study analysed the different types of arithmetic knowledge that young children utilise when solving a multiple-step addition task. The focus of the research was on the procedural and conceptual changes that occur as children develop their overall problem solving approach. Combining qualitative case study with a micro-genetic approach,…
A Rationale for and the Development of a Problem Solving Model of Instruction in Science Education.
ERIC Educational Resources Information Center
Pizzini, Edward L.; And Others
1989-01-01
This article discusses problem solving and how science educators can integrate problem solving into their instruction. The Search, Solve, Create, and Share (SSCS) model was developed based on the findings of problem solving research. (YP)
Creativity Into Action: A Creative Problem-Solving Course
ERIC Educational Resources Information Center
Uraneck, William O.
1974-01-01
Described an MBA program at Babson College, where students participated in a course designed to increase their creative problem-solving abilities, while providing them with realistic experience in several executive operations. (Author/RK)
Teaching Clinical Problem Solving in a Preclinical Operative Dentistry Course.
ERIC Educational Resources Information Center
Silvestri, Anthony R., Jr.; Cohen, Steven N.
1981-01-01
A method developed at Tufts University School of Dental Medicine for teaching modification of cavity design to large numbers of preclinical students in operative dentistry is reported. It standardizes the learning process for this complex problem-solving skill. (MLW)
Open-Ended, Problem-Solving Investigations--Getting Started.
ERIC Educational Resources Information Center
Lock, Roger
1991-01-01
Ways in which linear lesson sequences can be modified to provide increased opportunities for open-ended activities especially with problem solving are considered. Examples drawn from chemistry and plant reproduction, seeds, and germination are given. (KR)
The Strength of the Strongest Ties in Collaborative Problem Solving
de Montjoye, Yves-Alexandre
Complex problem solving in science, engineering, and business has become a highly collaborative endeavor. Teams of scientists or engineers collaborate on projects using their social networks to gather new ideas and feedback. ...
Assessing Mathematics 4. Problem Solving: The APU Approach.
ERIC Educational Resources Information Center
Foxman, Derek; And Others
1984-01-01
Presented are examples of problem-solving items from practical and written mathematics tests. These tests are part of an English survey designed to assess the mathematics achievement of students aged 11 and 15. (JN)
Assessing Student's Ability to Solve Textbook Style Problems
NASA Astrophysics Data System (ADS)
Cummings, Karen
2015-04-01
Can We Really Measure Problem Solving Ability? The answer to this question may depend on how we define problem solving ability. But, if we care about students' ability to solve novel textbook style problems, the answer to this question seems to be ``yes.'' In this talk I will discuss a pre-/post- instruction assessment that was recently developed to assess students' ability to solve fairly standard textbook style problems within the domains of Newton's second law, conservation of energy and conservation of momentum. The instrument is designed for large-scale use in typical university classrooms, has already been used in a variety of institutions and appears to be both valid and robust. Data collected with this instrument can help guide curricular improvements and provide important insights relevant to most departments for program review.
Modelling and solving the stable marriage problem using constraint programming
Manlove, D.F.
Manlove,D.F. O'Malley,G. Proceedings of the Fifth Workshop on Modelling and Solving Problems with Constraints, held at the 19th International Joint Conference on Artificial Intelligence (IJCAI 2005) pp 10-17
Evaluation of Representations in AI Problem Solving Eugene Fink
Fink, Eugene
Evaluation of Representations in AI Problem Solving Eugene Fink Computer Science, Carnegie Mellon University Pittsburgh, Pennsylvania 15213 e.fink@cs.cmu.edu, www.cs.cmu.edu/#eugene Abstract -- We formalize
Evaluation of Representations in AI Problem Solving Eugene Fink
Fink, Eugene
Evaluation of Representations in AI Problem Solving Eugene Fink Computer Science, Carnegie Mellon University Pittsburgh, Pennsylvania 15213 e.fink@cs.cmu.edu, www.cs.cmu.edu/eugene Abstract We formalize
The Intermediate Impossible: A Prewriting Activity for Creative Problem Solving.
ERIC Educational Resources Information Center
Karloff, Kenneth
1985-01-01
Adapts Edward de Bono's "Intermediate Impossible" strategy--for considering ideas that normally would be discarded as stepping-stones to new ideas--for use as a prewriting activity to enhance creative problem solving. (HTH)
Reflection on problem solving in introductory and advanced physics
NASA Astrophysics Data System (ADS)
Mason, Andrew J.
Reflection is essential in order to learn from problem solving. This thesis explores issues related to how reflective students are and how we can improve their capacity for reflection on problem solving. We investigate how students naturally reflect in their physics courses about problem solving and evaluate strategies that may teach them reflection as an integral component of problem-solving. Problem categorization based upon similarity of solution is a strategy to help them reflect about the deep features of the problems related to the physics principles involved. We find that there is a large overlap between the introductory and graduate students in their ability to categorize. Moreover, introductory students in the calculus-based courses performed better categorization than those in the algebra-based courses even though the categorization task is conceptual. Other investigations involved exploring if reflection could be taught as a skill on individual and group levels. Explicit self-diagnosis in recitation investigated how effectively students could diagnose their own errors on difficult problems, how much scaffolding was necessary for this purpose, and how effective transfer was to other problems employing similar principles. Difficulty in applying physical principles and difference between the self-diagnosed and transfer problems affected performance. We concluded that a sustained intervention is required to learn effective problem-solving strategies. Another study involving reflection on problem solving with peers suggests that those who reflected with peers drew more diagrams and had a larger gain from the midterm to final exam. Another study in quantum mechanics involved giving common problems in midterm and final exams and suggested that advanced students do not automatically reflect on their mistakes. Interviews revealed that even advanced students often focus mostly on exams rather than learning and building a robust knowledge structure. A survey was developed to further evaluate students' attitudes and approaches towards problem solving. The survey responses suggest that introductory students and even graduate students have different attitudes and approaches to problem solving on several important measures compared to physics faculty members. Furthermore, responses to individual survey questions suggest that expert and novice attitudes and approaches to problem solving may be more complex than naively considered.
Hydraulic lift can solve many production problems
Jackson, P.G. )
1990-05-01
For over five decades, hydraulic pumping systems have offered creative solutions for operators faced with a wide array of producing problems. Today, the well-developed and proven capabilities of this lift method continue to provide innovative approaches in dealing with oil well production, testing and evaluation requirements. The performance characteristics of the system give it unique adaptability to a wide range of changing well conditions, to effective use in shallow to extreme lifting depths, along with the convenient ability to install and retrieve the downhole pump through fluid circulation versus the use of a pulling unit. Hydraulic piston pumps are used in producing from low volumes up to 8,000 bpd. Jet pumps are used to produce up to 80,000 bpd.
Why decoherence solves the measurement problem
Art Hobson
2015-09-10
Although the solution, within standard quantum physics, of the problem of outcomes has been published several times, many authors continue to treat measurement as an unsolved fundamental dilemma. The solution lies in the formation of entangled subsystems, the non-local nature of the measurement state, and the resulting distinction between mixed-state local outcomes and the pure-state global outcome. Upon "measurement" (i.e. entanglement), the quantum system and its measurement apparatus both decohere and collapse into local mixed states while the unitarily-evolving global state remains coherent and un-collapsed. The states we observe are the local, collapsed states. Considerable experimental evidence supports this conclusion. Theoretical objections to this conclusion are rebutted, and a new perspective on measurement and entanglement is noted.
Using clickers to facilitate development of problem-solving skills.
Levesque, Aime A
2011-01-01
Classroom response systems, or clickers, have become pedagogical staples of the undergraduate science curriculum at many universities. In this study, the effectiveness of clickers in promoting problem-solving skills in a genetics class was investigated. Students were presented with problems requiring application of concepts covered in lecture and were polled for the correct answer. A histogram of class responses was displayed, and students were encouraged to discuss the problem, which enabled them to better understand the correct answer. Students were then presented with a similar problem and were again polled. My results indicate that those students who were initially unable to solve the problem were then able to figure out how to solve similar types of problems through a combination of trial and error and class discussion. This was reflected in student performance on exams, where there was a statistically significant positive correlation between grades and the percentage of clicker questions answered. Interestingly, there was no clear correlation between exam grades and the percentage of clicker questions answered correctly. These results suggest that students who attempt to solve problems in class are better equipped to solve problems on exams. PMID:22135374
Using Clickers to Facilitate Development of Problem-Solving Skills
Levesque, Aime A.
2011-01-01
Classroom response systems, or clickers, have become pedagogical staples of the undergraduate science curriculum at many universities. In this study, the effectiveness of clickers in promoting problem-solving skills in a genetics class was investigated. Students were presented with problems requiring application of concepts covered in lecture and were polled for the correct answer. A histogram of class responses was displayed, and students were encouraged to discuss the problem, which enabled them to better understand the correct answer. Students were then presented with a similar problem and were again polled. My results indicate that those students who were initially unable to solve the problem were then able to figure out how to solve similar types of problems through a combination of trial and error and class discussion. This was reflected in student performance on exams, where there was a statistically significant positive correlation between grades and the percentage of clicker questions answered. Interestingly, there was no clear correlation between exam grades and the percentage of clicker questions answered correctly. These results suggest that students who attempt to solve problems in class are better equipped to solve problems on exams. PMID:22135374
Numerical Boundary Conditions for Computational Aeroacoustics Benchmark Problems
NASA Technical Reports Server (NTRS)
Tam, Chritsopher K. W.; Kurbatskii, Konstantin A.; Fang, Jun
1997-01-01
Category 1, Problems 1 and 2, Category 2, Problem 2, and Category 3, Problem 2 are solved computationally using the Dispersion-Relation-Preserving (DRP) scheme. All these problems are governed by the linearized Euler equations. The resolution requirements of the DRP scheme for maintaining low numerical dispersion and dissipation as well as accurate wave speeds in solving the linearized Euler equations are now well understood. As long as 8 or more mesh points per wavelength is employed in the numerical computation, high quality results are assured. For the first three categories of benchmark problems, therefore, the real challenge is to develop high quality numerical boundary conditions. For Category 1, Problems 1 and 2, it is the curved wall boundary conditions. For Category 2, Problem 2, it is the internal radiation boundary conditions inside the duct. For Category 3, Problem 2, they are the inflow and outflow boundary conditions upstream and downstream of the blade row. These are the foci of the present investigation. Special nonhomogeneous radiation boundary conditions that generate the incoming disturbances and at the same time allow the outgoing reflected or scattered acoustic disturbances to leave the computation domain without significant reflection are developed. Numerical results based on these boundary conditions are provided.
Meshless method for solving fixed boundary problem of plasma equilibrium
NASA Astrophysics Data System (ADS)
Imazawa, Ryota; Kawano, Yasunori; Itami, Kiyoshi
2015-07-01
This study solves the Grad-Shafranov equation with a fixed plasma boundary by utilizing a meshless method for the first time. Previous studies have utilized a finite element method (FEM) to solve an equilibrium inside the fixed separatrix. In order to avoid difficulties of FEM (such as mesh problem, difficulty of coding, expensive calculation cost), this study focuses on the meshless methods, especially RBF-MFS and KANSA's method to solve the fixed boundary problem. The results showed that CPU time of the meshless methods was ten to one hundred times shorter than that of FEM to obtain the same accuracy.
High resolution numerical schemes for solving kinematic wave equation
NASA Astrophysics Data System (ADS)
Yu, Chunshui; Duan, Jennifer G.
2014-11-01
This paper compares the stability, accuracy, and computational cost of several numerical methods for solving the kinematic wave equation. The numerical methods include the second-order MacCormack finite difference scheme, the MacCormack scheme with a dissipative interface, the second-order MUSCL finite volume scheme, and the fifth-order WENO finite volume scheme. These numerical schemes are tested against several synthetic cases and an overland flow experiment, which include shock wave, rarefaction wave, wave steepening, uniform/non-uniform rainfall generated overland flows, and flow over a channel of varying bed slope. The results show that the MacCormack scheme is not a Total Variation Diminishing (TVD) scheme because oscillatory solutions occurred at the presence of shock wave, rarefaction wave, and overland flow over rapidly varying bed slopes. The MacCormack scheme with a dissipative interface is free of oscillation but with considerable diffusions. The Godunov-type schemes are accurate and stable when dealing with discontinuous waves. Furthermore the Godunov-type schemes, like MUSCL and WENO scheme, are needed for simulating surface flow from spatially non-uniformly distributed rainfalls over irregular terrains using moderate computing resources on current personal computers.
Photography helps solve distribution lightning problems
Barker, P.; Burns, C.W.
1993-06-01
This article describes the research project, which is being performed for NMPC by Power Technologies, Inc., involving the use of lightning-activated camera systems to photograph lightning strikes to a rural distribution line. Since photograph lightning strikes to a rural distribution line. Since photographs can allow the precise location of the lightning flash and power system flashovers to be observed, they are extremely valuable to engineers who are trying to make better sense of the lightning damage problem. When electrical measurements, such as fault and surge recordings, are combined with photographic data, an overall understanding of each lightning flash and its impact on the system is attained. This can hopefully lead to improved lightning protection practices and systems. The study is being performed on a 13.2 kV distribution system that is located on an exposed plateau near Little Falls, NY (about 80 miles northwest of Albany, NY). Four automated camera systems and a substation fault recorder are utilized. All camera locations afford excellent views of lines and equipment likely to be struck by lightning. The fault recorder is used to measure the fault currents and voltage sags which occur during line flashovers. Also, the National Lightning Detection Network (NLDN) is used to confirm storm activity and camera triggering efficiency. After each storm, all data is analyzed to determine how lightning affected the power system. Areas being investigated include: What are the relative portions of lightning flashovers caused by induced surges (nearby strikes) and direct lightning hits to the line How often do shielding failures occur What system relaying, construction and overvoltage protection practices afford the best lightning protection What system relaying, construction and overvoltage protection practices afford the best lightning protection What system relaying, construction and overvoltage protection practices are problematic
An event-based architecture for solving constraint satisfaction problems
Mostafa, Hesham; Müller, Lorenz K.; Indiveri, Giacomo
2015-01-01
Constraint satisfaction problems are ubiquitous in many domains. They are typically solved using conventional digital computing architectures that do not reflect the distributed nature of many of these problems, and are thus ill-suited for solving them. Here we present a parallel analogue/digital hardware architecture specifically designed to solve such problems. We cast constraint satisfaction problems as networks of stereotyped nodes that communicate using digital pulses, or events. Each node contains an oscillator implemented using analogue circuits. The non-repeating phase relations among the oscillators drive the exploration of the solution space. We show that this hardware architecture can yield state-of-the-art performance on random SAT problems under reasonable assumptions on the implementation. We present measurements from a prototype electronic chip to demonstrate that a physical implementation of the proposed architecture is robust to practical non-idealities and to validate the theory proposed. PMID:26642827
An event-based architecture for solving constraint satisfaction problems.
Mostafa, Hesham; Müller, Lorenz K; Indiveri, Giacomo
2015-01-01
Constraint satisfaction problems are ubiquitous in many domains. They are typically solved using conventional digital computing architectures that do not reflect the distributed nature of many of these problems, and are thus ill-suited for solving them. Here we present a parallel analogue/digital hardware architecture specifically designed to solve such problems. We cast constraint satisfaction problems as networks of stereotyped nodes that communicate using digital pulses, or events. Each node contains an oscillator implemented using analogue circuits. The non-repeating phase relations among the oscillators drive the exploration of the solution space. We show that this hardware architecture can yield state-of-the-art performance on random SAT problems under reasonable assumptions on the implementation. We present measurements from a prototype electronic chip to demonstrate that a physical implementation of the proposed architecture is robust to practical non-idealities and to validate the theory proposed. PMID:26642827
Initial Value Problems for ODEs in Problem Solving Environments
Shampine, Lawrence F.
used in GSC. Translations of this code have been the default solvers in both Maple and Matlab. Neither solving environments (PSEs) Maple [8] and Matlab [7] are in very wide use. Although they have much in common, they are clearly distin- guished by the emphasis in Maple on algebraic computation and in Matlab
Using Lin's method to solve Bykov's problems
NASA Astrophysics Data System (ADS)
Knobloch, Jürgen; Lamb, Jeroen S. W.; Webster, Kevin N.
2014-10-01
We consider nonwandering dynamics near heteroclinic cycles between two hyperbolic equilibria. The constituting heteroclinic connections are assumed to be such that one of them is transverse and isolated. Such heteroclinic cycles are associated with the termination of a branch of homoclinic solutions, and called T-points in this context. We study codimension-two T-points and their unfoldings in Rn. In our consideration we distinguish between cases with real and complex leading eigenvalues of the equilibria. In doing so we establish Lin's method as a unified approach to (re)gain and extend results of Bykov's seminal studies and related works. To a large extent our approach reduces the study to the discussion of intersections of lines and spirals in the plane. Case (RR): Under open conditions on the eigenvalues, there exist open sets in parameter space for which there exist periodic orbits close to the heteroclinic cycle. In addition, there exist two one-parameter families of homoclinic orbits to each of the saddle points p1 and p2.See Theorem 2.1 and Proposition 2.2 for precise statements and Fig. 2 for bifurcation diagrams. Cases (RC) and (CC): At the bifurcation point ?=0 and for each N?2, there exists an invariant set S0N close to the heteroclinic cycle on which the first return map is topologically conjugated to a full shift on N symbols. For any fixed N?2, the invariant set S?N persists for |?| sufficiently small.In addition, there exist infinitely many transversal and non-transversal heteroclinic orbits connecting the saddle points p1 and p2 in a neighbourhood of ?=0, as well as infinitely many one-parameter families of homoclinic orbits to each of the saddle points.For full statements of the results see Theorem 2.3 and Propositions 2.4, 2.5 and Fig. 3 for bifurcation diagrams. The dynamics near T-points has been studied previously by Bykov [6-10], Glendinning and Sparrow [20], Kokubu [27,28] and Labouriau and Rodrigues [30,31,38]. See also the surveys by Homburg and Sandstede [24], Shilnikov et al. [43] and Fiedler [18]. The occurrence of T-points in local bifurcations has been discussed by Barrientos et al. [4], and by Lamb et al. [32] in the context of reversible systems. All these studies consider dynamics in R3 using a geometric return map approach, and their results reflect the description of types of nonwandering dynamics described above.Further related studies concerning T-points can be found in [34] and [37], where inclination flips were considered in this context. In [5], numerical studies of T-points are performed using kneading invariants.The main aim of this paper is to present a comprehensive study of dynamics near T-points, including detailed proofs of all results, employing a unified functional-analytic approach, without making any assumption on the dimension of the phase space. In the process, we recover and generalise to higher dimensional settings all previously reported results for T-points in R3. In addition, we reveal the existence of richer dynamics in the (RC) and (CC) cases. A detailed discussion of our results is contained in Section 2.The functional analytic approach we follow is commonly referred to as Lin's method, after the seminal paper by Lin [33], and employs a reduction on an appropriate Banach space of piecewise continuous functions approximating the initial heteroclinic cycle to yield bifurcation equations whose solutions represent orbits of the nonwandering set. The development of such an approach is typical for the school of Hale, and is in contrast to the analysis contained in previous T-point studies, which relies on the construction of a first return map. Our choice of analytical framework is motivated by the fact that Lin's method provides a unified approach to study global bifurcations in arbitrary dimension, and has been shown to extend to a larger class of settings, such as delay and advance-delay equations [19,33].
Adolescent Stealers' and Nonstealers' Social Problem-Solving Skills.
ERIC Educational Resources Information Center
Greening, Leilani
1997-01-01
Compared 11 adolescents with a history of stealing to 11 nonstealers. Results reveal that stealers showed a tendency not to consider the passage of time necessary for solving social problems. Furthermore, adolescents with delinquency tendencies showed a cognitive bias for generating ineffective solutions to hypothetical social problems. Treatment…
Two Aspects of Meaningful Problem Solving in Science.
ERIC Educational Resources Information Center
Stewart, James
1982-01-01
Presents a model for solving genetics problems when problem statements include information on which alleles are dominant/recessive and on what forms of a trait are coded for by the alleles. Includes procedural steps employed in a solution and conceptual knowledge of genetics/meiosis allowing students to justify what they have done. (Author/JN)
Diffusion: Diffusive initial value problems and how to solve them
Spiegelman, Marc W.
84 #12;Chapter 6 Diffusion: Diffusive initial value problems and how to solve them Selected Reading of the simplest partial dif- ferential equations for diffusive initial value problems in the absence of advection be written T t = · T (6.0.1) where T is the temperature and = k/(cP ) is the thermal diffusivity (which has
Hybrid Methods for Solving the Educational Testing Problem
Al-Homidan, Suliman
at the solution, except in rare cases, is not correct; in fact, a majority of such problems are nonsmooth1 Hybrid Methods for Solving the Educational Testing Problem Suliman Al-Homidan Department of Mathematics, King Fahd University of Petroleum and Minerals, Dhahran 31261, PO Box 119, Saudi Arabia Abstract
Instructional Qualities of a Successful Mathematical Problem-Solving Class.
ERIC Educational Resources Information Center
Santos-Trigo, Manuel
1998-01-01
Describes activities that have been successfully implemented by an expert during a mathematical problem-solving course. Focuses on the identification of the qualities of these problems used to promote the development of student strategies and values that reflect mathematical practice in the classroom. Contains 17 references. (ASK)
Diagnostic Problem Solving of School Psychologists: Scientific Method or Guesswork?
ERIC Educational Resources Information Center
de Mesquita, Paul B.
1992-01-01
Investigated diagnostic problem solving of doctoral and nondoctoral school psychologists, educational diagnosticians, and school psychology graduate students (n=125) through use of computer simulation of typical school referral problem and verbal retrospective think-aloud protocol. Results suggest that education and experience were unrelated to…
Bowland Maths: Problem Solving in Key Stage 3
ERIC Educational Resources Information Center
Lane, Peter; Lister, Adelaide; Onion, Alice; Wintle, Karen
2008-01-01
A project has been developed for KS3 maths, funded by the Bowland Trust (www.bowlandmaths.org.uk) with additional support from the DCSF. It consists of a teaching resource of about 20 case-study problems aimed at developing thinking, reasoning and problem-solving skills and has been distributed to all UK secondary schools. Each case study includes…
Representation Use and Strategy Choice in Physics Problem Solving
ERIC Educational Resources Information Center
De Cock, Mieke
2012-01-01
In this paper, we examine student success on three variants of a test item given in different representational formats (verbal, pictorial, and graphical), with an isomorphic problem statement. We confirm results from recent papers where it is mentioned that physics students' problem-solving competence can vary with representational format and that…
Word Problem Solving: A Schema Approach in Year 3
ERIC Educational Resources Information Center
van Klinken, Eduarda
2012-01-01
This article outlines how a Brisbane independent school, Clayfield College, improved the ability of its Year 3 students to solve addition and subtraction word problems by utilising a schematic approach. It was observed that while students could read the words in the text of a written problem, many had difficulty identifying the core information…
Exploring the Role of Conceptual Scaffolding in Solving Synthesis Problems
ERIC Educational Resources Information Center
Ding, Lin; Reay, Neville; Lee, Albert; Bao, Lei
2011-01-01
It is well documented that when solving problems experts first search for underlying concepts while students tend to look for equations and previously worked examples. The overwhelming majority of end-of-chapter (EOC) problems in most introductory physics textbooks contain only material and examples discussed in a single chapter, rarely requiring…
Paradigms and Problem-Solving: A Literature Review.
ERIC Educational Resources Information Center
Berner, Eta S.
1984-01-01
Thomas Kuhn's conceptions of the influence of paradigms on the progress of science form the framework for analyzing how medical educators have approached research on medical problem solving. A new paradigm emphasizing multiple types of problems with varied solution strategies is proposed. (Author/MLW)
Assignment A2: Problem Solving: Assigned: 2 September 2014
Henderson, Thomas C.
September 2014 For this problem, handin a lab report pdf (include name, date, assignment and class numberAssignment A2: Problem Solving: Search CS 5300 Fall 2014 Assigned: 2 September 2014 Due: 18 in a hardcopy of the report in class before the start of class on September 18, 2014. Write a lab report
A Problem-Solving Oral Examination for Family Medicine
ERIC Educational Resources Information Center
Van Wart, Arthur D.
1974-01-01
The College of Family Physicians of Canada has used in its certification examination a new type of structured problem-solving examination called the Formal Oral. A series of preselected problem areas such as the complaint, relevant data base, investigation, and treatment are scored by two examiners. (Editor/PG)
Using Problem Solving to Assess Young Children's Mathematics Knowledge
ERIC Educational Resources Information Center
Charlesworth, Rosalind; Leali, Shirley A.
2012-01-01
Mathematics problem solving provides a means for obtaining a view of young children's understanding of mathematics as they move through the early childhood concept development sequence. Assessment information can be obtained through observations and interviews as children develop problem solutions. Examples of preschool, kindergarten, and primary…
Hemisphericity Research: An Overview with Some Implications for Problem Solving.
ERIC Educational Resources Information Center
Myers, John T.
1982-01-01
Research on cerebral hemisphericity and lateral dominance is reviewed, and relationships between right and left hemispheric modes of information processing as well as problem solving techniques are discussed. Conclusions focus mainly on need for educators to know information processing differences of the two hemispheres to teach children problem…
Towards Optimal Techniques for Solving Global Optimization Problems
Kreinovich, Vladik
Towards Optimal Techniques for Solving Global Optimization Problems: Symmetry-Based Approach at El Paso, El Paso, TX 79968, USA vladik@utep.edu 1 Introduction 1.1 Global Optimization an Important of global optimization. Similar problems arise in data processing, when we have a model char- acterized
Towards Optimal Techniques for Solving Global Optimization Problems
Kreinovich, Vladik
Towards Optimal Techniques for Solving Global Optimization Problems: SymmetryBased Approach at El Paso, El Paso, TX 79968, USA vladik@utep.edu 1 Introduction 1.1 Global Optimization of global optimization. Similar problems arise in data processing, when we have a model char acterized
Non-Mathematical Problem Solving in Organic Chemistry
ERIC Educational Resources Information Center
Cartrette, David P.; Bodner, George M.
2010-01-01
Differences in problem-solving ability among organic chemistry graduate students and faculty were studied within the domain of problems that involved the determination of the structure of a molecule from the molecular formula of the compound and a combination of IR and [to the first power]H NMR spectra. The participants' performance on these tasks…
Solving the ANTS Problem with Asynchronous Finite State Machines
Solving the ANTS Problem with Asynchronous Finite State Machines Yuval Emek1 , Tobias Langner2 the Ants Nearby Treasure Search (ANTS) problem introduced by Feinerman, Korman, Lotker, and Sereni (PODC-time of any ANTS algorithm. 1 Introduction "They operate without any central control. Their collective
Modeling Strategy Shifts in a Problem-Solving Task
ERIC Educational Resources Information Center
Simon, Herbert A.; Reed, Stephen K.
1976-01-01
A computer simulation model was fitted to human laboratory data for the Missionaries and Cannibals task to explain the effects upon problem performance of giving a hint and the effect of solving problems a second time after a successful solution has been achieved. (Author/DEP)
Understanding the Nature of Errors in Probability Problem-Solving.
ERIC Educational Resources Information Center
O'Connell, Ann Aileen
1999-01-01
Investigated relationships among different types of errors occurring during probability problem solving by 50 graduate students without mathematical sophistication. Categorized errors as text comprehension, conceptual, procedural, and arithmetic/computation errors. Discusses implications for the teaching and learning of probability problem…
Solving Demand Versions of Interprocedural Analysis Problems Thomas Reps 1
Reps, Thomas W.
, available expres sions, live variables, etc.). Most treatments of interprocedural analysis address ``genkill problems'' (i.e., problems in which the dataflow functions are all of the form l x . (x - kill) È gen). There are several reasons why it is desirable to solve the demand versions of interproce
Solar Neutrinos: Solved and Unsolved Problems John N. Bahcall
Bahcall, John
Chapter 10 Solar Neutrinos: Solved and Unsolved Problems John N. Bahcall Institute for Advanced study solar neutrinos? What does the combined standard model (solar plus electroweak) predict for solar neutrinos? Why are the calculations of neutrino fluxes robust? What are the three solar neutrino problems
Brain activity in using heuristic prototype to solve insightful problems.
Dandan, Tong; Haixue, Zhu; Wenfu, Li; Wenjing, Yang; Jiang, Qiu; Qinglin, Zhang
2013-09-15
When confronted with a real-world problem, heuristic knowledge and experience can guide the solution of a specific technical problem as the key step toward innovation. In particular, a heuristic prototype must be used correctly to cue the technical problem that exists in a particular situation. The present study selected an innovative paradigm and scientific innovation materials to investigate the neural basis of insight induced by heuristic prototypes using event-related functional magnetic resonance imaging (fMRI). The day prior to undergoing fMRI scanning, participants were asked to solve 42 difficult technical problems that scientists might have already encountered but were unknown to the participants. In the subsequent fMRI experiment, the same participants were randomly presented with 84 prototypes classified into two types: related prototypes (RPs), which were useful for solving previously encountered problems, and unrelated prototypes (UPs), which sometimes did not contribute to problem solving. While being scanned, participants were asked to assess whether a prototype is relevant to any of the technical problems. This study comprised two conditions: solving technical problems when presented with a related heuristic prototype and failing to solve technical problems using unrelated heuristic prototypes. The authors assumed that the regions significantly activated by the RP condition, compared with the UP condition, reflected brain activity related to the role of heuristic prototypes in scientific insight. fMRI data showed that the left dorsolateral prefrontal gyrus (left DLFPC, BA9) and the left angular gyrus (left AG, BA39) were more significantly activated when presented with RPs than with UPs. The results suggest that the DLPFC may be involved in the automatic retrieval of technical problems and breaking of mental sets. Moreover, the left AG may be involved in forming novel associations between technical problems and related prototypes. PMID:23860118
ERIC Educational Resources Information Center
Freeman-Green, Shaqwana M.; O'Brien, Chris; Wood, Charles L.; Hitt, Sara Beth
2015-01-01
This study examined the effects of explicit instruction in the SOLVE Strategy on the mathematical problem solving skills of six Grade 8 students with specific learning disabilities. The SOLVE Strategy is an explicit instruction, mnemonic-based learning strategy designed to help students in solving mathematical word problems. Using a multiple probe…
Perfecting scientists’ collaboration and problem-solving skills in the virtual team environment
Technology Transfer Automated Retrieval System (TEKTRAN)
Perfecting Scientists’ Collaboration and Problem-Solving Skills in the Virtual Team Environment Numerous factors have contributed to the proliferation of conducting work in virtual teams at the domestic, national, and global levels: innovations in technology, critical developments in software, co-lo...
Thai Grade 10 and 11 Students' Conceptual Understanding and Ability to Solve Stoichiometry Problems
ERIC Educational Resources Information Center
Dahsah, Chanyah; Coll, Richard K.
2007-01-01
Stoichiometry and related concepts are an important part of student learning in chemistry. In this interpretive-based inquiry, we investigated Thai Grade 10 and 11 students' conceptual understanding and ability to solve numerical problems for stoichiometry-related concepts. Ninety-seven participants completed a purpose-designed survey instrument…
ERIC Educational Resources Information Center
Earnest, Darrell
2015-01-01
This article reports on students' problem-solving approaches across three representations--number lines, coordinate planes, and function graphs--the axes of which conventional mathematics treats in terms of consistent geometric and numeric coordinations. I consider these representations to be a part of a "hierarchical representational…
Place-Value: Problem-Solving and Written Assessment Using Digit-Correspondence Tasks.
ERIC Educational Resources Information Center
Ross, Sharon; Sunflower, Elisa
The purpose of this study was to examine the effects of researcher-developed lessons on students' understanding of two- and three-digit numeration. Digit-correspondence tasks, often used for individual interview assessment of place value understanding, were adapted to be used as problem-solving tasks. The tasks were presented to three classes,…
Heuristic algorithm for solving of the graph isomorphism problem
R. T. Faizullin; A. V. Prolubnikov
2002-05-21
We consider heuristic algorithm for solving graph isomorphism problem. The algorithm based on a successive splitting of the eigenvalues of the matrices which are modifications (to positive defined) of graphs' adjacency matrices. Modification of the algorithm allows to find a solution for Frobenius problem. Formulation of the Frobenius problem is following one. Given a pair of two matrices with the same number of rows and columns. We must find out whether one of the matrix can be acquired from another by permutation of it's rows and strings or not. For example, solution of Frobenius problem can give to us efficient way for decrypting of double permutation cyphers problem for high dimension matrices.
Characterization and Developmental History of Problem Solving Methods in Medicine
Harbort, Robert A.
1980-01-01
The central thesis of this paper is the importance of the framework in which information is structured. It is technically important in the design of systems; it is also important in guaranteeing that systems are usable by clinicians. Progress in medical computing depends on our ability to develop a more quantitative understanding of the role of context in our choice of problem solving techniques. This in turn will help us to design more flexible and responsive computer systems. The paper contains an overview of some models of knowledge and problem solving methods, a characterization of modern diagnostic techniques, and a discussion of skill development in medical practice. Diagnostic techniques are examined in terms of how they are taught, what problem solving methods they use, and how they fit together into an overall theory of interpretation of the medical status of a patient.
Dimensionality of Everyday Problem Solving in Older Adults
Marsiske, Michael; Willis, Sherry L.
2010-01-01
This study investigated individual differences in older adults' everyday problem-solving performance using 3 instruments. Past research, typically using only single measures, has yielded a multitude of findings regarding age effects in everyday problem solving. The present sample consisted of 111 older adults (44 men, 67 women) who ranged in age from 68 to 94 years. Confirmatory factor analyses revealed that, within each of the 3 instruments, subscales representing particular content domains could be reliably identified. There was, however, little relation between the different instruments, and the measures also differed in their relation with chronological age. These results support the view that everyday problem-solving competence is a multidimensional construct, of which previous investigations may only have studied particular dimensions. PMID:7662186
Solving computational geometry problems on mesh-connected computers
Lu, M.
1987-01-01
Parallel algorithms to solve several computational geometric problems on mesh-connected computers (MCC's) and systolic arrays are designed and analyzed. Lu presents parallel MCC algorithms to solve various proximity problems. In addition, MCC algorithms for computing several properties of a set of, possibly intersecting rectangles are presented. Given a set of n iso-oriented rectangles, the describes MCC algorithms for determining the area of the logic OR of these rectangles,the area of pairwise logic AND of the rectangles, the largest number of rectangles that overlap and the minimum separation between any pair of a set of non-overlapping rectangles. For the above tasks, he also describes methods to solve problems of size n on MCC's with processors, where p < n. Finally, he presents systolic algorithms to solve the segment intersection counting problem and to construct the convex hull of a set of planar points, as well as an update algorithm for the fixed-size circle-placement problem. For a problem of size n, the algorithms use a systolic array of n/sup 2/3 x n/sup 2/3 cells and have a time complexity of O(n/sup 2/3).
Wikispaces (Wikis) and Group Problem Solving (GPS) sessions in Physics classes
NASA Astrophysics Data System (ADS)
Mohottala, Hashini
2013-03-01
We report the combine use of Wikispaces (Wikis) and Group Problem Solving (GPS) sessions conducted in the introductory level and upper level physics classes. This method gradually evolved from the combine use of Wikis and Just in Time Teaching (JiTT) practiced over the past years. As a part of this new teaching method, some essay type problems, parallel to the chapter in discussion, were posted on the Wikis at the beginning of each week and students were encouraged to visit the pages and do the work without providing numerical final answers but the steps. At the end of each week students were evaluated on the problem solving skills opening up more opportunity for peer interaction by putting them into small groups and letting them solve one selected problem. A class of 30 students is divided into 6 groups and as a whole four lengthy essay problems are discussed - each group is given to solve one problem. The problem numbers are drawn in a raffle and the groups are excited to find out what they get each week. The required skills to solve a problem are gained from the weekly given Wiki exercises. Wiki provides a user-friendly platform to make this effort a success. GPS sessions help the professor identify the failing students earlier and help them before it's too late.
Nonlinear Coupled Problems Solved by hp-FEM
NASA Astrophysics Data System (ADS)
K?s, Pavel; Kotlan, Václav; Karban, Pavel; Doležel, Ivo
2011-09-01
A necessity to solve coupled problems arises in various fields of physics and engineering. The main aim of this work is to develop a general framework and software for simple solving of complex coupled problems and to investigate and compare various different approaches towards the solution. Namely we want to quantify benefits of monolithic discretization of the coupled problem (where all fields are discretized together into one matrix for each time level of the transient problem) with respect to the standard approach, where each field is resolved separately using values of the other fields from the previous time level for the non-linear constants, when necessary. As an example of a real device we selected actuator, where magnetic field causes heating of certain parts and it results to its prolongation. It is used for precise positioning of various objects. Implementation is done using hp-FEM method, which is extremely efficient for problems with complex behavior exhibiting singularities or boundary layers.
Robust operative diagnosis as problem solving in a hypothesis space
NASA Technical Reports Server (NTRS)
Abbott, Kathy H.
1988-01-01
This paper describes an approach that formulates diagnosis of physical systems in operation as problem solving in a hypothesis space. Such a formulation increases robustness by: (1) incremental hypotheses construction via dynamic inputs, (2) reasoning at a higher level of abstraction to construct hypotheses, and (3) partitioning the space by grouping fault hypotheses according to the type of physical system representation and problem solving techniques used in their construction. It was implemented for a turbofan engine and hydraulic subsystem. Evaluation of the implementation on eight actual aircraft accident cases involving engine faults provided very promising results.
Compactly supported kernels method of approximate particular solutions for solving elliptic problems
NASA Astrophysics Data System (ADS)
Uddin, Marjan; Shed, Gul; Kamran; Ali, Amjad
2015-09-01
In this work the method of approximate particular solutions using compactly supported kernels is investigated. In the work of [1] the globally supported radial kernels for the construction of solution are used, and it is observed that for large scaled PDEs the differentiation matrix is ill-conditioned. We extended the work of [1] for compactly supported kernels, in order to solve large-scaled PDEs engineering sciences. The numerical scheme of the present method of approximate particular solutions is very accurate and simple in implementation. Three benchmark problems are solved by the present numerical scheme and the results are compared to other methods in the literature.
Guidance for modeling causes and effects in environmental problem solving
Armour, Carl L.; Williamson, Samuel C.
1988-01-01
Environmental problems are difficult to solve because their causes and effects are not easily understood. When attempts are made to analyze causes and effects, the principal challenge is organization of information into a framework that is logical, technically defensible, and easy to understand and communicate. When decisionmakers attempt to solve complex problems before an adequate cause and effect analysis is performed there are serious risks. These risks include: greater reliance on subjective reasoning, lessened chance for scoping an effective problem solving approach, impaired recognition of the need for supplemental information to attain understanding, increased chance for making unsound decisions, and lessened chance for gaining approval and financial support for a program/ Cause and effect relationships can be modeled. This type of modeling has been applied to various environmental problems, including cumulative impact assessment (Dames and Moore 1981; Meehan and Weber 1985; Williamson et al. 1987; Raley et al. 1988) and evaluation of effects of quarrying (Sheate 1986). This guidance for field users was written because of the current interest in documenting cause-effect logic as a part of ecological problem solving. Principal literature sources relating to the modeling approach are: Riggs and Inouye (1975a, b), Erickson (1981), and United States Office of Personnel Management (1986).
Dynamic application of problem solving strategies : dependency-based flow control
Jacobi, Ian Campbell
2013-01-01
While humans may solve problems by applying any one of a number of different problem solving strategies, computerized problem solving is typically brittle, limited in the number of available strategies and ways of combining ...
Building problem solving environments with the arches framework
Debardeleben, Nathan; Sass, Ron; Stanzione, Jr., Daniel; Ligon, Ill, Walter
2009-01-01
The computational problems that scientists face are rapidly escalating in size and scope. Moreover, the computer systems used to solve these problems are becoming significantly more complex than the familiar, well-understood sequential model on their desktops. While it is possible to re-train scientists to use emerging high-performance computing (HPC) models, it is much more effective to provide them with a higher-level programming environment that has been specialized to their particular domain. By fostering interaction between HPC specialists and the domain scientists, problem-solving environments (PSEs) provide a collaborative environment. A PSE environment allows scientists to focus on expressing their computational problem while the PSE and associated tools support mapping that domain-specific problem to a high-performance computing system. This article describes Arches, an object-oriented framework for building domain-specific PSEs. The framework was designed to support a wide range of problem domains and to be extensible to support very different high-performance computing targets. To demonstrate this flexibility, two PSEs have been developed from the Arches framework to solve problem in two different domains and target very different computing platforms. The Coven PSE supports parallel applications that require large-scale parallelism found in cost-effective Beowulf clusters. In contrast, RCADE targets FPGA-based reconfigurable computing and was originally designed to aid NASA Earth scientists studying satellite instrument data.
Ant colony optimization for solving university facility layout problem
NASA Astrophysics Data System (ADS)
Mohd Jani, Nurul Hafiza; Mohd Radzi, Nor Haizan; Ngadiman, Mohd Salihin
2013-04-01
Quadratic Assignment Problems (QAP) is classified as the NP hard problem. It has been used to model a lot of problem in several areas such as operational research, combinatorial data analysis and also parallel and distributed computing, optimization problem such as graph portioning and Travel Salesman Problem (TSP). In the literature, researcher use exact algorithm, heuristics algorithm and metaheuristic approaches to solve QAP problem. QAP is largely applied in facility layout problem (FLP). In this paper we used QAP to model university facility layout problem. There are 8 facilities that need to be assigned to 8 locations. Hence we have modeled a QAP problem with n ? 10 and developed an Ant Colony Optimization (ACO) algorithm to solve the university facility layout problem. The objective is to assign n facilities to n locations such that the minimum product of flows and distances is obtained. Flow is the movement from one to another facility, whereas distance is the distance between one locations of a facility to other facilities locations. The objective of the QAP is to obtain minimum total walking (flow) of lecturers from one destination to another (distance).
Solving Nonlinear Aeronautical Problems Using the Carleman Linearization Method
GAUDE, BRIAN W.
2001-09-01
Many problems in aeronautics can be described in terms of nonlinear systems of equations. Carleman developed a technique to linearize such equations that could lead to analytical solutions of nonlinear problems. Nonlinear problems are difficult to solve in closed form and therefore the construction of such solutions is usually nontrivial. This research will apply the Carleman linearization technique to three model problems: a two-degree-of-freedom (2DOF) ballistic trajectory, Blasius' boundary layer, and Van der Pol's equation and evaluate how well the technique can adequately approximate the solutions of these ordinary differential equations.
Creative problem solving with root cause failure analysis
Gano, D.L.
1996-11-01
This paper will discuss the conventional wisdom that limits one`s problem solving effectiveness and then explore new and unique knowledge and skills that help one break out of the old paradigms. One will discover how there is no such thing as a single right answer; how there is an infinite set of solutions to any problem; and how to find the most creative and innovative solutions such that the problem does not recur. One will see how these new methods can be used by almost anyone on any event-based problem. Several recent examples will be presented to support understanding of this new approach.
Development of common neural representations for distinct numerical problems.
Chang, Ting-Ting; Rosenberg-Lee, Miriam; Metcalfe, Arron W S; Chen, Tianwen; Menon, Vinod
2015-08-01
How the brain develops representations for abstract cognitive problems is a major unaddressed question in neuroscience. Here we tackle this fundamental question using arithmetic problem solving, a cognitive domain important for the development of mathematical reasoning. We first examined whether adults demonstrate common neural representations for addition and subtraction problems, two complementary arithmetic operations that manipulate the same quantities. We then examined how the common neural representations for the two problem types change with development. Whole-brain multivoxel representational similarity (MRS) analysis was conducted to examine common coding of addition and subtraction problems in children and adults. We found that adults exhibited significant levels of MRS between the two problem types, not only in the intraparietal sulcus (IPS) region of the posterior parietal cortex (PPC), but also in ventral temporal-occipital, anterior temporal and dorsolateral prefrontal cortices. Relative to adults, children showed significantly reduced levels of MRS in these same regions. In contrast, no brain areas showed significantly greater MRS between problem types in children. Our findings provide novel evidence that the emergence of arithmetic problem solving skills from childhood to adulthood is characterized by maturation of common neural representations between distinct numerical operations, and involve distributed brain regions important for representing and manipulating numerical quantity. More broadly, our findings demonstrate that representational analysis provides a powerful approach for uncovering fundamental mechanisms by which children develop proficiencies that are a hallmark of human cognition. PMID:26160287
NASA Astrophysics Data System (ADS)
Hao, Wenrui; Hauenstein, Jonathan D.; Shu, Chi-Wang; Sommese, Andrew J.; Xu, Zhiliang; Zhang, Yong-Tao
2013-10-01
Homotopy continuation is an efficient tool for solving polynomial systems. Its efficiency relies on utilizing adaptive stepsize and adaptive precision path tracking, and endgames. In this article, we apply homotopy continuation to solve steady state problems of hyperbolic conservation laws. A third-order accurate finite difference weighted essentially non-oscillatory (WENO) scheme with Lax-Friedrichs flux splitting is utilized to derive the difference equation. This new approach is free of the CFL condition constraint. Extensive numerical examples in both scalar and system test problems in one and two dimensions demonstrate the efficiency and robustness of the new method.
College Students Solving Chemistry Problems: A Theoretical Model of Expertise
ERIC Educational Resources Information Center
Taasoobshirazi, Gita; Glynn, Shawn M.
2009-01-01
A model of expertise in chemistry problem solving was tested on undergraduate science majors enrolled in a chemistry course. The model was based on Anderson's "Adaptive Control of Thought-Rational" (ACT-R) theory. The model shows how conceptualization, self-efficacy, and strategy interact and contribute to the successful solution of quantitative,…
Motivating Performance: Part 1--Diagnosing and Solving Motivation Problems.
ERIC Educational Resources Information Center
Clark, Richard E.
1998-01-01
Presents a way to diagnose and solve motivation problems at work. Describes a model based on recent cognitive performance motivation research. Explains the CANE (Commitment And Necessary Effort) model and illustrates with a case study. Discusses the CANE model's applicability in any performance setting. (AEF)
Some Finance Problems Solved with Nonsmooth Optimization Techniques
Vinter, Richard
Some Finance Problems Solved with Nonsmooth Optimization Techniques R. B. VINTER 1 AND H. ZHENG 2 analysis and mathematical finance communities to the scope for applications of nonsmooth optimization to finance, by studying in detail two illustrative examples. The first concerns the maximization of a ter
Training Insight Problem Solving through Focus on Barriers and Assumptions
ERIC Educational Resources Information Center
Walinga, Jennifer; Cunningham, J. Barton; MacGregor, James N.
2011-01-01
Recent research has reported successful training interventions that improve insight problem solving. In some ways this is surprising, because the processes involved in insight solutions are often assumed to be unconscious, whereas the training interventions focus on conscious cognitive strategies. We propose one mechanism that may help to explain…
The Role of Critiquing in Cooperative Problem Solving
Fischer, Gerhard
.3 [Information Storage and Retrieval]: Information Search and Retrieval; J.6 [Computer Applications]: Computer-8188/91/0400-0123 $01.50 ACM Transactions on Information Systems, Vol. 9, No.3, April 1991, Pages 123--151. #12;124 G MASTAGLlO, and ANDERS I. MORCH University of Colorado, Boulder Cooperative problem-solving systems help
Encouraging Problem-Solving Disposition in a Singapore Classroom
ERIC Educational Resources Information Center
Leong, Yew Hoong; Yap, Sook Fwe; Quek, Khiok Seng; Tay, Eng Guan; Tong, Cherng Luen; Ong, Yao Teck; Chia, Alexander Stanley Foh Soon; Zaini, Irni Karen Mohd; Khong, Wee Choo; Lock, Oi Leng; Zhang, Qiao Tian Beatrice; Tham, Yi Hui; Noorhazman, Nur-Illya Nafiza Mohamed
2013-01-01
In this article, we share our learning experience as a Lesson Study team. The Research Lesson was on Figural Patterns taught in Year 7. In addition to helping students learn the skills of the topic, we wanted them to develop a problem-solving disposition. The management of these two objectives was a challenge to us. From the lesson observation and…
Analysis of Errors Made by Students Solving Genetics Problems.
ERIC Educational Resources Information Center
Costello, Sandra Judith
The purpose of this study was to analyze the errors made by students solving genetics problems. A sample of 10 non-science undergraduate students was obtained from a private college in Northern New Jersey. The results support prior research in the area of genetics education and show that a weak understanding of the relationship of meiosis to…
Assessment for Intervention: A Problem-Solving Approach
ERIC Educational Resources Information Center
Brown-Chidsey, Rachel, Ed.
2005-01-01
This cutting-edge volume offers a complete primer on conducting problem-solving based assessments in school or clinical settings. Presented are an effective framework and up-to-date tools for identifying and remediating the many environmental factors that may contribute to a student's academic, emotional, or behavioral difficulties, and for…
Assisting Students with Argumentation Plans when Solving Problems in CSCL
ERIC Educational Resources Information Center
Monteserin, Ariel; Schiaffino, Silvia; Amandi, Analia
2010-01-01
In CSCL systems, students who are solving problems in group have to negotiate with each other by exchanging proposals and arguments in order to resolve the conflicts and generate a shared solution. In this context, argument construction assistance is necessary to facilitate reaching to a consensus. This assistance is usually provided with isolated…
Grading Homework to Emphasize Problem-Solving Process Skills
ERIC Educational Resources Information Center
Harper, Kathleen A.
2012-01-01
This article describes a grading approach that encourages students to employ particular problem-solving skills. Some strengths of this method, called "process-based grading," are that it is easy to implement, requires minimal time to grade, and can be used in conjunction with either an online homework delivery system or paper-based homework.
Designing WebQuests to Support Creative Problem Solving
ERIC Educational Resources Information Center
Rubin, Jim
2013-01-01
WebQuests have been a popular alternative for collaborative group work that utilizes internet resources, but studies have questioned how effective they are in challenging students to use higher order thinking processes that involve creative problem solving. This article explains how different levels of inquiry relate to categories of learning…
Problem Solving with Guided Repeated Oral Reading Instruction
ERIC Educational Resources Information Center
Conderman, Greg; Strobel, Debra
2006-01-01
Many students with disabilities require specialized instructional interventions and frequent progress monitoring in reading. The guided repeated oral reading technique promotes oral reading fluency while providing a reliable data-based monitoring system. This article emphasizes the importance of problem-solving when using this reading approach.
Strategies, Competence and Style--Problem Solving in Engineering Design.
ERIC Educational Resources Information Center
Weth, Rudiger, von der; Frankenberger, Eckart
1995-01-01
A series of experiments involving more than 40 mechanical engineers and engineering students with different levels of expertise examined strategies, competence, and style of the designers in problem-solving behavior. A model is proposed that explains differences in designing as an interaction of domain-specific and heuristic competence. (SLD)
Olae: A Bayesian Performance Assessment for Complex Problem Solving.
ERIC Educational Resources Information Center
VanLehn, Kurt
Olae is a computer system for assessing student knowledge of physics, and Newtonian mechanics in particular, using performance data collected while students solve complex problems. Although originally designed as a stand-alone system, it has also been used as part of the Andes intelligent tutoring system. Like many other performance assessment…
Aspects of the Cognitive Model of Physics Problem Solving.
ERIC Educational Resources Information Center
Brekke, Stewart E.
Various aspects of the cognitive model of physics problem solving are discussed in detail including relevant cues, encoding, memory, and input stimuli. The learning process involved in the recognition of familiar and non-familiar sensory stimuli is highlighted. Its four components include selection, acquisition, construction, and integration. The…
Appropriate Combinations of Technology for Solving Landscape Management Problems
Appropriate Combinations of Technology for Solving Landscape Management Problems Session E: Surface estate but what makes this particular chunk even more impor- tant is the fact that all of the coal of the country, the Center for Energy and Mineral Resources at Texas A&M University initiated a VRM study
Creating Alien Life Forms: Problem Solving in Biology.
ERIC Educational Resources Information Center
Grimnes, Karin A.
1996-01-01
Describes a project that helps students integrate biological concepts using both creativity and higher-order problem-solving skills. Involves students playing the roles of junior scientists aboard a starship in orbit around a class M planet and using a description of habitats, seasonal details, and a surface map of prominent geographic features to…
Integrating Study Skills and Problem Solving into Remedial Mathematics
ERIC Educational Resources Information Center
Cornick, Jonathan; Guy, G. Michael; Beckford, Ian
2015-01-01
Students at a large urban community college enrolled in seven classes of an experimental remedial algebra programme, which integrated study skills instruction and collaborative problem solving. A control group of seven classes was taught in a traditional lecture format without study skills instruction. Student performance in the course was…
Using Sociodrama to Help Young Children Problem Solve
ERIC Educational Resources Information Center
McLennan, Deanna Marie Pecaski
2012-01-01
Sociodrama is an arts-based, action-oriented tool of individual and collective social exploration and creative problem solving that allows participants to explore and find potential resolutions to issues of concern and conflict in their lives. This article describes how Early Years educators can begin to implement basic sociodrama into their…
Technologies for Literacy: Using Technologies in a Problem Solving Environment
ERIC Educational Resources Information Center
Lee, Chwee Beng
2014-01-01
As technologies have become an integral part of our lives, the way we read and understand text has changed drastically. In this paper, we discuss how various technologies support learners' reading and writing skills within the context of meaningful learning. Next, using elaborated cases, we argue that situating learners in problem solving…
Teachers' and Students' Preliminary Stages in Physics Problem Solving
ERIC Educational Resources Information Center
Mansyur, Jusman
2015-01-01
This paper describes the preliminary stages in physics problem-solving related to the use of external representation. This empirical study was carried out using a phenomenographic approach to analyze data from individual thinking-aloud and interviews with 8 senior high school students and 7 physics teachers. The result of this study is a set of…
Cognitive Skills In Mathematical Problem Solving In Grade 3
ERIC Educational Resources Information Center
Desoete, Annemie; Roeyers, Herbert
2005-01-01
Background: Research on the relationship between cognitive skills and mathematical problem solving is usually conducted on adults or on participants with acquired deficits associated with brain injury (e.g. Cipolotti, 1995; Cohen, Dehaene, & Verstichel, 1994; McCloskey, 1992). Aims: In these studies we wanted to make a contribution to the field…
Prospective Elementary Teachers' Misunderstandings in Solving Ratio and Proportion Problems
ERIC Educational Resources Information Center
Monteiro, Cecilia
2003-01-01
This study explores difficulties that prospective elementary mathematics teachers have with the concepts of ratio and proportion, mainly when they are engaged in solving problems using algorithm procedures. These difficulties can be traced back to earlier experiences when they were students of junior and high school. The reflection on these…
Reasoning Processes Used by Paramedics to Solve Clinical Problems
ERIC Educational Resources Information Center
Alexander, Melissa
2009-01-01
The purpose of this exploratory qualitative study was to determine the reasoning processes used by paramedics to solve clinical problems. Existing research documents concern over the accuracy of paramedics' clinical decision-making, but no research was found that examines the cognitive processes by which paramedics make either faulty or accurate…
Using Depth Intuition in Creative Problem Solving and Strategic Innovation.
ERIC Educational Resources Information Center
Markley, O. W.
1988-01-01
The article describes four step-by-step methods to sharpen intuitive capacities for problem-solving and innovation. Visionary and transpersonal knowledge processes are tapped to gain access to relatively deep levels of intuition. The methods are considered useful for overcoming internal blockages or resistance, developing organizational mission…
The Effects of Argumentation Scaffolds on Argumentation and Problem Solving.
ERIC Educational Resources Information Center
Cho, Kyoo-Lak; Jonassen, David H.
2002-01-01
This study examined the use of online argumentation scaffolds to engage and support coherent argumentation. Participants were students in an undergraduate economics course. Results showed that providing a constraint-based argumentation scaffold during group problem-solving activities increased the generation of coherent arguments and resulted in…
Environmental Influences on Problem Solving Ability in Three Demographic Groups.
ERIC Educational Resources Information Center
Bies, John David
The major purpose of this study was to ascertain whether or not a relationship existed between problem-solving ability and environmental factors. A secondary and related purpose was to find and examine any differences between demographic and curriculum groups. Data were collected from students and from school records in three public high schools…
Secondary School Genetics Instruction: Making Problem Solving Explicit and Meaningful.
ERIC Educational Resources Information Center
Thomson, Norman; Stewart, James
1985-01-01
Explains an algorithm which details procedures for solving a broad class of genetics problems common to pre-college biology. Several flow charts (developed from the algorithm) are given with sample questions and suggestions for student use. Conclusions are based on the authors' research (which includes student interviews and textbook analyses).…
School Effectiveness: Problem-Solving and Managing Conflict.
ERIC Educational Resources Information Center
Minnesota State Dept. of Education, St. Paul.
This module discusses the theory and practice of school improvement and outlines a nine-step systematic problem-solving process for developing an action plan addressing school improvement goals. The first section describes a general model for the study of the school as a social system, as developed by Getzels and Thelen (1960). The second section…
Solving Circuit Optimisation Problems in Cryptography and Cryptanalysis
International Association for Cryptologic Research (IACR)
Solving Circuit Optimisation Problems in Cryptography and Cryptanalysis Nicolas T. Courtois1 algorithms [13, 17, 7, 22]. In this paper we focus on optimizing some small circuits such as S: Block ciphers, PRESENT, GOST, non-linearity, algebraic attacks, circuit complexity, logic
Studies of Visual Attention in Physics Problem Solving
ERIC Educational Resources Information Center
Madsen, Adrian M.
2013-01-01
The work described here represents an effort to understand and influence visual attention while solving physics problems containing a diagram. Our visual system is guided by two types of processes--top-down and bottom-up. The top-down processes are internal and determined by ones prior knowledge and goals. The bottom-up processes are external and…
Solving the Teff problem, one step at a time
Joergens, Viki
Solving the Teff problem, one step at a time Aleks Scholz (DIAS), Keivan Stassun (Vanderbilt · suppressed Teff, inflated radii · theory: MacDonald & Mullan 2009, Chabrier et al. 2007 #12;Eclipsing M dwarfs with measured H,Teff, luminosity, distance (sample from Morales et al. 2008) #12;Empirical
Interpersonal Cognitive Problem-Solving: A Meta-Analysis.
ERIC Educational Resources Information Center
Almeida, M. Connie; Denham, Susanne A.
Reported in this paper are the findings of five meta-analyses assessing the relationships among children's interpersonal cognitive problem-solving (ICPS) skills, training, and behavioral adjustment. Five hypotheses were examined: (1) Adjusted children score higher on ICPS measures than do nonadjusted children; (2) Children trained in ICPS skills…
Preventing Violence the Problem-Solving Way. Juvenile Justice Bulletin.
ERIC Educational Resources Information Center
Shure, Myrna B.
This article examines interpersonal cognitive problem-solving (ICPS) skills. Based on more than 20 years of research on specific ICPS skills, intervention methods were developed to test the hypothesis that behavior can be modified by focusing on thinking processes rather than the behaviors themselves. The ICPS skills relate to high-risk behaviors…
An Evaluation of Interpersonal Cognitive Problem Solving Training with Children.
ERIC Educational Resources Information Center
Pellegrini, David S.; Urbain, Eugene S.
1985-01-01
Describes the interpersonal cognitive problem solving (ICPS) skills approach for remediating peer relationship difficulties in children and adolescents. ICPS training studies are also reviewed. ICPS training seems effective as a remediation and primary prevention strategy with maladjusted youngsters and as a secondary prevention strategy with…
How Digital Scaffolds in Games Direct Problem-Solving Behaviors
ERIC Educational Resources Information Center
Sun, Chuen-Tsai; Wang, Dai-Yi; Chan, Hui-Ling
2011-01-01
Digital systems offer computational power and instant feedback. Game designers are using these features to create scaffolding tools to reduce player frustration. However, researchers are finding some unexpected effects of scaffolding on strategy development and problem-solving behaviors. We used a digital Sudoku game named "Professor Sudoku" to…
Distributed Problem Solving in Sensor Networks Weixiong Zhang
Zhang, Weixiong
-world applications [4, 5]. To meet the needs of vast de- mands of MEMS in various application domains in developing and analyzing distributed problem solving methods for applications in sensor networks- tems (MEMS) has made rapid advances. Various smart devices, such as sensors and actuators with some
Solving the Inverse-Square Problem with Complex Variables
ERIC Educational Resources Information Center
Gauthier, N.
2005-01-01
The equation of motion for a mass that moves under the influence of a central, inverse-square force is formulated and solved as a problem in complex variables. To find the solution, the constancy of angular momentum is first established using complex variables. Next, the complex position coordinate and complex velocity of the particle are assumed…
Observation Can Be as Effective as Action in Problem Solving
ERIC Educational Resources Information Center
Osman, Magda
2008-01-01
This study discusses findings that replicate and extend the original work of Burns and Vollmeyer (2002), which showed that performance in problem-solving tasks was more accurate when people were engaged in a non-specific goal than in a specific goal. The main innovation here was to examine the goal specificity effect under both observation-based…
A Heuristic Program to Solve Geometric Analogy Problems
Evans, T.G.
1962-10-01
A program to solve a wide class of intelligence-test problems of the "geometric-analogy" type ("figure A is to figure B as figure C is to which of the following figures?") is being constructed. The program, which is written ...
Adventures in Exercise Physiology: Enhancing Problem Solving and Assessment
ERIC Educational Resources Information Center
FitzPatrick, Kathleen A.
2004-01-01
I altered the format of an exercise physiology course from traditional lecture to emphasizing daily reading quizzes and group problem-solving activities. I used the SALGains evaluation to compare the two approaches and saw significant improvements in the evaluation ratings of students who were taught using the new format. Narrative responses…
Tracing Success: Graphical Methods for Analysing Successful Collaborative Problem Solving
ERIC Educational Resources Information Center
Joiner, Richard; Issroff, Kim
2003-01-01
The aim of this paper is to evaluate the use of trace diagrams for analysing collaborative problem solving. The paper describes a study where trace diagrams were used to analyse joint navigation in a virtual environment. Ten pairs of undergraduates worked together on a distributed virtual task to collect five flowers using two bees with each…
Teaching and Learning. A Problem-Solving Focus.
ERIC Educational Resources Information Center
Curcio, Frances R., Ed.
This book is dedicated to George Polya, who focused on problem solving as the means for teaching and learning mathematics. The first chapter is a reprint of his article "On Learning, Teaching, and Learning Teaching." Then, G. L. Alexanderson paints a portrait of "George Polya, Teacher," including some anecdotes that exemplify Polya's art of…
Divulging Intertextual Processes in the Problem-Solving of Hypermedia.
ERIC Educational Resources Information Center
Yang, Shu Ching
1999-01-01
Investigates the patterns of intertextual linking as learners engaged in problem solving when using hypermedia. Learners were observed in their synthesized discourse in six cases using Perseus, a Greek culture database. Discusses themes that emerged from learners' on-line protocols and interactions and implications for instructional designers.…
Artificial Intelligence Models for Human Problem-Solving.
ERIC Educational Resources Information Center
Goldin, Gerald A.; Luger, George F.
A theory that there is a correspondence between Piagetian conservation operations and groups of symmetry transformations, and that these symmetry transformations may be used in explaining human problem solving behaviors, is developed in this paper. Current research in artificial intelligence is briefly reviewed, then details of the symmetry…
Understanding students' poor performance on mathematical problem solving in physics
The data for this study comes from about 60 hours of video-taped sessions of groups of students solving. However, the © 2004 American Institute of Physics 0-7354-0200-0/04/$22.00 CP720, 2003 Physics Education week of classes. The particular problem that Mary is working on states: You are driving on the New
Aha! Voila! Eureka! Bilingualism and Insightful Problem Solving
ERIC Educational Resources Information Center
Cushen, Patrick J.; Wiley, Jennifer
2011-01-01
What makes a person able to solve problems creatively? One interesting factor that may contribute is experience with multiple languages from an early age. Bilingual individuals who acquire two languages by the age of 6 have been shown to demonstrate superior performance on a number of thinking tasks that require flexibility. However, bilingual…
The Emotional Dimensions of the Problem-Solving Process.
ERIC Educational Resources Information Center
Hill, Barbara; And Others
1979-01-01
Predictable affective responses are evoked during each phase of a group or organizational problem-solving process. With the needs assessment phase come hope and energy; with goal-setting, confusion and dissatisfaction; with action planning, involvement and accomplishment; with implementation, "stage fright" and joy; with evaluation, pride or…
Assigning Coordinates to Events: Solving Combinatorial problems using Discrete
Misra, Jayadev
, where the steps may also generate new events. The management of the data structure for events, the event list, may be delegated to a standard run-time routine called the "event list manager". StructuringAssigning Coordinates to Events: Solving Combinatorial problems using Discrete Event Simulation
Student Technological Creativity Using Online Problem-Solving Activities
ERIC Educational Resources Information Center
Chang, Yu-Shan
2013-01-01
The purpose of this study was to investigate the effects of online (web-based) creative problem-solving (CPS) activities on student technological creativity and to examine the characteristics of student creativity in the context of online CPS. A pretest-posttest quasi-experiment was conducted with 107 fourth-grade students in Taiwan. The…
Solving Information-Integration Problems Using Category Theory
Spivak, David
to the market intelligence rm IDC, 40% of all enterprise IT budgets are dedicated to solving information problems that plague scientists, engineers, and commercial enterprises. Although category theory has revolu to leverage category theory for data management tasks. #12;Contents I Project Summary 2 Contents 4 II Project
Solving the Quadratic Capacitated Facilities Location Problem by Computer.
ERIC Educational Resources Information Center
Cote, Leon C.; Smith, Wayland P.
Several computer programs were developed to solve various versions of the quadratic capacitated facilities location problem. Matrices, which represent various business costs, are defined for the factors of sites, facilities, customers, commodities, and production units. The objective of the program is to find an optimization matrix for the lowest…
Collaborative Problem Solving in Young Typical Development and HFASD
ERIC Educational Resources Information Center
Kimhi, Yael; Bauminger-Zviely, Nirit
2012-01-01
Collaborative problem solving (CPS) requires sharing goals/attention and coordinating actions--all deficient in HFASD. Group differences were examined in CPS (HFASD/typical), with a friend versus with a non-friend. Participants included 28 HFASD and 30 typical children aged 3-6 years and their 58 friends and 58 non-friends. Groups were matched on…
Patient-Oriented Problem-Solving Instruction in Pharmacotherapeutics.
ERIC Educational Resources Information Center
Love, David W.; Shumway, James M.
1983-01-01
The development and validation of a system teaching problem-solving in pharmacotherapeutics is described. The module was developed for both small group and self-instruction using clinical cases in hypertension. Results show the method to be an effective means of teaching therapeutic information focusing on patient situations. (MSE)
Strategies for Solving High-Fidelity Aerodynamic Shape Optimization Problems
Papalambros, Panos
Strategies for Solving High-Fidelity Aerodynamic Shape Optimization Problems Zhoujie Lyu Aerodynamic shape optimization based on high-fidelity models is a computational intensive endeavor. The techniques are tested using the Common Research Model wing benchmark defined by the Aerodynamic Design
Integrating perception and problem solving to predict complex object behaviours
NASA Astrophysics Data System (ADS)
Lyons, Damian M.; Chaudhry, Sirhan; Agica, Marius; Monaco, John Vincent
2010-04-01
One of the objectives of Cognitive Robotics is to construct robot systems that can be directed to achieve realworld goals by high-level directions rather than complex, low-level robot programming. Such a system must have the ability to represent, problem-solve and learn about its environment as well as communicate with other agents. In previous work, we have proposed ADAPT, a Cognitive Architecture that views perception as top-down and goaloriented and part of the problem solving process. Our approach is linked to a SOAR-based problem-solving and learning framework. In this paper, we present an architecture for the perceptive and world modelling components of ADAPT and report on experimental results using this architecture to predict complex object behaviour. A novel aspect of our approach is a 'mirror system' that ensures that the modelled background and foreground objects are synchronized with observations and task-based expectations. This is based on our prior work on comparing real and synthetic images. We show results for a moving object that collides and rebounds from its environment, hence showing that this perception-based problem solving approach has the potential to be used to predict complex object motions.
Teaming to Teach the Information Problem-Solving Process.
ERIC Educational Resources Information Center
Sine, Lynn; Murphy, Becky
1992-01-01
Explains a problem-solving format developed by a school media specialist and first grade teacher that used the framework of Eisenberg and Berkowitz's "Big Six Skills" for library media programs. The application of the format to a science unit on the senses is described. (two references) (MES)
Cheating for Problem Solving: A Genetic Algorithm with Social Interactions
Aickelin, Uwe
Cheating for Problem Solving: A Genetic Algorithm with Social Interactions Rafael Lahoz.aickelin@nottingham.ac.uk ABSTRACT We propose a variation of the standard genetic algorithm that incorporates social interaction populations, i.e. animals, even human beings and microorganisms, social interactions often affect the fitness
Creativity and Inspiration for Problem Solving in Engineering Education
ERIC Educational Resources Information Center
Nordstrom, Katrina; Korpelainen, Paivi
2011-01-01
Problem solving is a critical skill for engineering students and essential to development of creativity and innovativeness. Essential to such learning is an ease of communication and allowing students to address the issues at hand via the terminology, attitudes, humor and empathy, which is inherent to their frame of mind as novices, without the…
Situated, Embodied and Social Problem-Solving in Virtual Worlds
ERIC Educational Resources Information Center
Cram, Andrew; Hedberg, John G.; Gosper, Maree; Dick, Geoff
2011-01-01
Contemporary theories of problem-solving highlight that expertise is domain specific, contingent on the social context and available resources, and involves knowledge, skills, attitudes, emotions and values. Developing educational activities that incorporate all of these elements is a challenge. Through case studies, this paper outlines how…
Identifying Facets of Problem Solving in Mathematics Instruction.
ERIC Educational Resources Information Center
Klieme, Eckhard; Clausen, Marten
Facets of problem solving instruction (PSI) were studied in German mathematics classrooms. Nine different facets of PSI were identified from the research literature, and a video rating form was developed to assess these facets and teacher effectiveness. Videotaped mathematics lessons (n=147) for German eighth graders from the sample for the Third…
IMMEX Problem-Solving Software: Integrating Curriculum into Technology.
ERIC Educational Resources Information Center
Underdahl, Jennifer
2002-01-01
Explains the history of IMMEX (Interactive Multi-Media Exercises) and its evolution into a Web-delivered, interactive software program, which assesses student understanding of curriculum in K-16 classrooms by tracking its application in real-world, problem-solving scenarios. Discusses performance feedback for teachers and students, and offers…
Extending Fibonacci Numbers to Negative Subscripts through Problem Solving
ERIC Educational Resources Information Center
Abramovich, Sergei
2010-01-01
This classroom note shows how Fibonacci numbers with negative subscripts emerge from a problem-solving context enhanced by the use of an electronic spreadsheet. It reflects the author's work with prospective K-12 teachers in a number of mathematics content courses. (Contains 4 figures.)
Learning to Learn: Algorithmic Inspirations from Human Problem Solving
Horvitz, Eric
learning. Our work comes in the context of growing interest in interactive, human-in-the-loop learning with research on interactive machine learning. Fails and Olsen (Fails and Olsen 2003) assert the potential valueLearning to Learn: Algorithmic Inspirations from Human Problem Solving Ashish Kapoor, Bongshin Lee
Teaching Composing as Creative Problem Solving: Conceptualising Composing Pedagogy
ERIC Educational Resources Information Center
Berkley, Rebecca
2004-01-01
This article reports on a school-based research project into teaching composing at GCSE, setting this alongside a review of the literature. It suggests that research into cognition in composing in school students and teaching composing within a school context may be synthesised by understanding composing as problem solving. Composing is described…
Creativity, Problem Solving, and Solution Set Sightedness: Radically Reformulating BVSR
ERIC Educational Resources Information Center
Simonton, Dean Keith
2012-01-01
Too often, psychological debates become polarized into dichotomous positions. Such polarization may have occurred with respect to Campbell's (1960) blind variation and selective retention (BVSR) theory of creativity. To resolve this unnecessary controversy, BVSR was radically reformulated with respect to creative problem solving. The reformulation…
A Working Memory Model Applied to Mathematical Word Problem Solving
ERIC Educational Resources Information Center
Alamolhodaei, Hassan
2009-01-01
The main objective of this study is (a) to explore the relationship among cognitive style (field dependence/independence), working memory, and mathematics anxiety and (b) to examine their effects on students' mathematics problem solving. A sample of 161 school girls (13-14 years old) were tested on (1) the Witkin's cognitive style (Group Embedded…
John Dewey--Problem Solving and History Teaching
ERIC Educational Resources Information Center
Martorella, Peter H.
1978-01-01
Presents a model for introducing inquiry and problem-solving into middle grade history classes. It is based on an educational approach suggested by John Dewey. The author uses the model to explore two seemingly contradictory statements by Abraham Lincoln about slavery. (AV)
Robotic Toys as a Catalyst for Mathematical Problem Solving
ERIC Educational Resources Information Center
Highfield, Kate
2010-01-01
Robotic toys present unique opportunities for teachers of young children to integrate mathematics learning with engaging problem-solving tasks. This article describes a series of tasks using Bee-bots and Pro-bots, developed as part a larger project examining young children's use of robotic toys as tools in developing mathematical and metacognitive…
Problem-Solving Skills in Suicidal Psychiatric Patients.
ERIC Educational Resources Information Center
Schotte, David E.; Clum, George A.
1987-01-01
Examined a diathesis-stress-hopelessness model of suicidal behavior. Found that the suicidal group (N=50) differed from the control group (N=50) on a number of dependent measures in accordance with the hypothesis that suicidal individuals are deficient in impersonal and interpersonal problem solving, experience more stress, and are more hopeless.…
Structuring Video Cases to Support Future Teachers' Problem Solving
ERIC Educational Resources Information Center
Kale, Ugur; Whitehouse, Pamela
2012-01-01
This study examined preservice teachers' problem-solving skills through the use of an online video case study. Eighty preservice teachers participated in the study with a three-level video presentation by a two-grade-level between-subjects factorial design. The study incorporates a content analysis framework to examine both the components and the…
Problem Solving Techniques for the Design of Algorithms.
ERIC Educational Resources Information Center
Kant, Elaine; Newell, Allen
1984-01-01
Presents model of algorithm design (activity in software development) based on analysis of protocols of two subjects designing three convex hull algorithms. Automation methods, methods for studying algorithm design, role of discovery in problem solving, and comparison of different designs of case study according to model are highlighted.…
Do New Caledonian crows solve physical problems through causal reasoning?
Indiana University
as the bench- mark test for investigating whether non-human animals use causal reasoning to solve physical, Auckland, New Zealand The extent to which animals other than humans can reason about physical problems is contentious. The benchmark test for this ability has been the trap-tube task. We presented New Caledonian
A new method for solving radiative heat problems in glass
Eindhoven, Technische Universiteit
RANA 9906 A new method for solving radiative heat problems in glass B.J. van der Linden --- R, The Netherlands email: linden@win.tue.nl 15th May 2000 #12; Abstract In the production of glass, temperature Conclusion 25 2 #12; Chapter 1 Introduction The production of glass belongs to the oldest forms of human
A new method for solving radiative heat problems in glass
Eindhoven, Technische Universiteit
RANA 99-06 A new method for solving radiative heat problems in glass B.J. van der Linden -- R, The Netherlands e-mail: linden@win.tue.nl 15th May 2000 #12;Abstract In the production of glass, temperature plays Conclusion 25 2 #12;Chapter 1 Introduction The production of glass belongs to the oldest forms of human
Solving Permutation Constraint Satisfaction Problems with Artificial Ants
Wolf, Christian
Solving Permutation Constraint Satisfaction Problems with Artificial Ants Christine Solnon 1 Abstract. We describe in this paper AntÂPÂsolver, a generic conÂ straint solver based on the Ant Colony Optimization (ACO) metaÂ heuristic. The ACO metaheuristic takes inspiration on the observaÂ tion of real ants
Problem Solving in Physics: Towards a Metacognitively Developed Approach.
ERIC Educational Resources Information Center
Neto, Antonio; Valente, Maria Odete
This study explored the possibility of developing classroom strategies that would encourage physics teachers to put greater focus on a more qualitative, metacognitive approach to problem solving. The empirical part of this research was carried out with students approximately 16 years of age in physics (i.e., introductory Newtorian mechanics)…
Hamiltonian structure of dynamical systems which solve linear programming problems
NASA Astrophysics Data System (ADS)
Faybusovich, Leonid
1991-11-01
A new class of completely integrable Hamiltonian systems which solve linear programming problems is introduced. The relations with reduced Toda flows, double-bracket equations, interior point methods are established. An interpretation in terms of total actions on Kähler manifolds is given. A complete description of the phase portrait (including the explicit description of action-angle variables) is provided.
What Next? Futuristic Scenarios for Creative Problem Solving.
ERIC Educational Resources Information Center
Myers, Robert E.; Torrance, E. Paul
This book contains 52 units designed to assist teachers in helping their students improve their creative writing and communication skills, improve their skills in creative problem solving, and enlarge, enrich, and make more accurate their images of the future. Each unit begins with an overview of the activity, an explanation of the creative…
A Unified Approach for Solving Nonlinear Regular Perturbation Problems
ERIC Educational Resources Information Center
Khuri, S. A.
2008-01-01
This article describes a simple alternative unified method of solving nonlinear regular perturbation problems. The procedure is based upon the manipulation of Taylor's approximation for the expansion of the nonlinear term in the perturbed equation. An essential feature of this technique is the relative simplicity used and the associated unified…
Problem Solving Ability of Disadvantaged Children Under Four Test Modes.
ERIC Educational Resources Information Center
Houtz, John C.; And Others
A study was conducted to test the hypothesis that Ss from disadvantaged homes have poorly developed "abstract" thinking skills and that their thought can be characterized as more "concrete" or relational. Four forms of a problem-solving inventory were developed which differed in mode of presentation. The original form consisted of real-life…
Social Problem-Solving and Self Esteem of Aggressive Boys.
ERIC Educational Resources Information Center
Lochman, John E.
Secondary prevention programs for aggressive children should be based on research about processes which mediate children's expression of aggressive behavior. The relative importance of perceived competence, self-esteem, and social problem solving processes was investigated in 20 aggressive and 18 non-aggressive fourth and fifth grade boys. Teacher…
A Software Architecture for an Engineering Collaborative Problem Solving Environment
Barbosa, Alberto
to setup computations in an integrated environment. The work is motivated by the necessity of finding for assisting the control and execution of engineering projects in the oil & gas industry. This workA Software Architecture for an Engineering Collaborative Problem Solving Environment Ismael H. F
Family Problem Solving: Conflict Mediation Training for Parents.
ERIC Educational Resources Information Center
Conflict Resolution Unlimited, Inc., Bellevue, WA.
This manual provides information that can help parents resolve conflict and provides information required to conduct Family Problem Solving Training sessions. The guide, which introduces conflict mediation skills to parents, is divided into four 1.5 hour sessions. The sessions are (1) "Introduction to Conflict Mediation, How to Use Communication…
Practical Parenting: Successful Strategies for Solving Your Child's Behaviour Problems.
ERIC Educational Resources Information Center
Stenhouse, Glen
Recognizing that all parents encounter challenges in raising their children, this book presents practical strategies for solving common behavior problems. Chapter 1, "Bonding," concerns the development of parent-child attachment. Chapter 2, "Encouraging Development," discusses "hot-housing," language development, and early intervention. Chapter 3,…
NASA Astrophysics Data System (ADS)
Attili, Basem S.
2011-09-01
A boundary value method for solving a class of nonlinear singularly perturbed two point boundary value problems with a boundary layer at one end is proposed. Using singular perturbation analysis the method consists of solving two problems; namely, a reduced problem and a boundary layer correction problem. We use Pade' approximation to obtain the solution of the latter problem and to satisfy the condition at infinity. Numerical examples will be given to illustrate the method.
Studies of visual attention in physics problem solving
NASA Astrophysics Data System (ADS)
Madsen, Adrian M.
The work described here represents an effort to understand and influence visual attention while solving physics problems containing a diagram. Our visual system is guided by two types of processes -- top-down and bottom-up. The top-down processes are internal and determined by ones prior knowledge and goals. The bottom-up processes are external and determined by features of the visual stimuli such as color, and luminance contrast. When solving physics problems both top-down and bottom-up processes are active, but to varying degrees. The existence of two types of processes opens several interesting questions for physics education. For example, how do bottom-up processes influence problem solvers in physics? Can we leverage these processes to draw attention to relevant diagram areas and improve problem-solving? In this dissertation we discuss three studies that investigate these open questions and rely on eye movements as a primary data source. We assume that eye movements reflect a person's moment-to-moment cognitive processes, providing a window into one's thinking. In our first study, we compared the way correct and incorrect solvers viewed relevant and novice-like elements in a physics problem diagram. We found correct solvers spent more time attending to relevant areas while incorrect solvers spent more time looking at novice-like areas. In our second study, we overlaid these problems with dynamic visual cues to help students' redirect their attention. We found that in some cases these visual cues improved problem-solving performance and influenced visual attention. To determine more precisely how the perceptual salience of diagram elements influenced solvers' attention, we conducted a third study where we manipulated the perceptual salience of the diagram elements via changes in luminance contrast. These changes did not influence participants' answers or visual attention. Instead, similar to our first study, the time spent looking in various areas of the diagram was related to the correctness of an answer. These results suggest that top-down processes dominate while solving physics problems. In sum, the study of visual attention and visual cueing in particular shows that attention is an important component of physics problem-solving and can potentially be leveraged to improve student performance.
ERIC Educational Resources Information Center
Xin, Yan Ping; Jitendra, Asha; Deatline-Buchman, Andria; Hickman, Wesley; Bertram, Dean
This study examined the differential effects of two instructional strategies on the acquisition, maintenance, and generalization of mathematical word problem solving by students with learning disabilities: an explicit schema-based problem solving strategy (SBI) and a traditional general heuristic instructional strategy (TI). Twenty-two middle…
Be a Problem-Solver: A Resource Book for Teaching Creative Problem-Solving.
ERIC Educational Resources Information Center
Stanish, Bob; Eberle, Bob
This book provides an overview of the creative problem-solving process and exercises to put the process the work. The illustrated, reproducible pages guide students through each step of the problem-solving process by using evaluation grids to track their ideas, solutions, and plans. The activities can be used in a variety of ways including for the…
Insight and analysis problem solving in microbes to machines.
Clark, Kevin B
2015-11-01
A key feature for obtaining solutions to difficult problems, insight is oftentimes vaguely regarded as a special discontinuous intellectual process and/or a cognitive restructuring of problem representation or goal approach. However, this nearly century-old state of art devised by the Gestalt tradition to explain the non-analytical or non-trial-and-error, goal-seeking aptitude of primate mentality tends to neglect problem-solving capabilities of lower animal phyla, Kingdoms other than Animalia, and advancing smart computational technologies built from biological, artificial, and composite media. Attempting to provide an inclusive, precise definition of insight, two major criteria of insight, discontinuous processing and problem restructuring, are here reframed using terminology and statistical mechanical properties of computational complexity classes. Discontinuous processing becomes abrupt state transitions in algorithmic/heuristic outcomes or in types of algorithms/heuristics executed by agents using classical and/or quantum computational models. And problem restructuring becomes combinatorial reorganization of resources, problem-type substitution, and/or exchange of computational models. With insight bounded by computational complexity, humans, ciliated protozoa, and complex technological networks, for example, show insight when restructuring time requirements, combinatorial complexity, and problem type to solve polynomial and nondeterministic polynomial decision problems. Similar effects are expected from other problem types, supporting the idea that insight might be an epiphenomenon of analytical problem solving and consequently a larger information processing framework. Thus, this computational complexity definition of insight improves the power, external and internal validity, and reliability of operational parameters with which to classify, investigate, and produce the phenomenon for computational agents ranging from microbes to man-made devices. PMID:26278642
Novel Problem Solving - The NASA Solution Mechanism Guide
NASA Technical Reports Server (NTRS)
Keeton, Kathryn E.; Richard, Elizabeth E.; Davis, Jeffrey R.
2014-01-01
Over the past five years, the Human Health and Performance (HH&P) Directorate at the NASA Johnson Space Center (JSC) has conducted a number of pilot and ongoing projects in collaboration and open innovation. These projects involved the use of novel open innovation competitions that sought solutions from "the crowd", non-traditional problem solvers. The projects expanded to include virtual collaboration centers such as the NASA Human Health and Performance Center (NHHPC) and more recently a collaborative research project between NASA and the National Science Foundation (NSF). These novel problem-solving tools produced effective results and the HH&P wanted to capture the knowledge from these new tools, to teach the results to the directorate, and to implement new project management tools and coursework. The need to capture and teach the results of these novel problem solving tools, the HH&P decided to create a web-based tool to capture best practices and case studies, to teach novice users how to use new problem solving tools and to change project management training/. This web-based tool was developed with a small, multi-disciplinary group and named the Solution Mechanism Guide (SMG). An alpha version was developed that was tested against several sessions of user groups to get feedback on the SMG and determine a future course for development. The feedback was very positive and the HH&P decided to move to the beta-phase of development. To develop the web-based tool, the HH&P utilized the NASA Tournament Lab (NTL) to develop the software with TopCoder under an existing contract. In this way, the HH&P is using one new tool (the NTL and TopCoder) to develop the next generation tool, the SMG. The beta-phase of the SMG is planed for release in the spring of 2014 and results of the beta-phase testing will be available for the IAC meeting in September. The SMG is intended to disrupt the way problem solvers and project managers approach problem solving and to increase the use of novel and more cost and time effective problem solving tools such as open innovation, collaborative research, and virtual collaborative project centers. The HH&P envisions changing project management coursework by including the SMG in the teaching of project management problem solving tools.
The Influence of Prior Experience and Process Utilization in Solving Complex Problems.
ERIC Educational Resources Information Center
Sterner, Paula; Wedman, John
By using ill-structured problems and examining problem- solving processes, this study was conducted to explore the nature of solving complex, multistep problems, focusing on how prior knowledge, problem-solving process utilization, and analogical problem solving are related to success. Twenty-four college students qualified to participate by…
Rekindle the Fire: Building Supercomputers to Solve Dynamic Problems
Studham, Scott S. )
2004-02-16
Seymour Cray had a Lets go to the moon attitude when it came to building high-performance computers. His drive was to create architectures designed to solve the most challenging problems. Modern high-performance computer architects, however, seem to be focusing on building the largest floating-point-generation machines by using truckloads of commodity parts. Don't get me wrong; current clusters can solve a class of problems that are untouchable by any other system in the world, including the supercomputers of yesteryear. Many of the worlds fastest clusters provide new insights into weather forecasting, our understanding of fundamental sciences and provide the ability to model our nuclear stockpiles. Lets call this class of problem a first-principles simulation because the simulations are based on a fundamental physical understanding or model.
When Does Changing Representation Improve Problem-Solving Performance?
NASA Technical Reports Server (NTRS)
Holte, Robert; Zimmer, Robert; MacDonald, Alan
1992-01-01
The aim of changing representation is the improvement of problem-solving efficiency. For the most widely studied family of methods of change of representation it is shown that the value of a single parameter, called the expulsion factor, is critical in determining (1) whether the change of representation will improve or degrade problem-solving efficiency and (2) whether the solutions produced using the change of representation will or will not be exponentially longer than the shortest solution. A method of computing the expansion factor for a given change of representation is sketched in general and described in detail for homomorphic changes of representation. The results are illustrated with homomorphic decompositions of the Towers of Hanoi problem.
Combining Computational and Social Effort for Collaborative Problem Solving
Wagy, Mark D.; Bongard, Josh C.
2015-01-01
Rather than replacing human labor, there is growing evidence that networked computers create opportunities for collaborations of people and algorithms to solve problems beyond either of them. In this study, we demonstrate the conditions under which such synergy can arise. We show that, for a design task, three elements are sufficient: humans apply intuitions to the problem, algorithms automatically determine and report back on the quality of designs, and humans observe and innovate on others’ designs to focus creative and computational effort on good designs. This study suggests how such collaborations should be composed for other domains, as well as how social and computational dynamics mutually influence one another during collaborative problem solving. PMID:26544199
Iterative methods for solving nonlinear problems of nuclear reactor criticality
Kuz'min, A. M.
2012-12-15
The paper presents iterative methods for calculating the neutron flux distribution in nonlinear problems of nuclear reactor criticality. Algorithms for solving equations for variations in the neutron flux are considered. Convergence of the iterative processes is studied for two nonlinear problems in which macroscopic interaction cross sections are functionals of the spatial neutron distribution. In the first problem, the neutron flux distribution depends on the water coolant density, and in the second one, it depends on the fuel temperature. Simple relationships connecting the vapor content and the temperature with the neutron flux are used.
Solving Large-scale Eigenvalue Problems in SciDACApplications
Yang, Chao
2005-06-29
Large-scale eigenvalue problems arise in a number of DOE applications. This paper provides an overview of the recent development of eigenvalue computation in the context of two SciDAC applications. We emphasize the importance of Krylov subspace methods, and point out its limitations. We discuss the value of alternative approaches that are more amenable to the use of preconditioners, and report the progression using the multi-level algebraic sub-structuring techniques to speed up eigenvalue calculation. In addition to methods for linear eigenvalue problems, we also examine new approaches to solving two types of non-linear eigenvalue problems arising from SciDAC applications.
Solving SOC test scheduling problem using cross-entropy method
NASA Astrophysics Data System (ADS)
Deng, Libao; Qiao, Liyan; Peng, Xiyuan
2010-08-01
With the increase of the number of IP cores integrated in SOC, the functions of SOC are becoming more complexed. Test time and test cost grow rapidly, therefore it becomes bottleneck of SOC test. Test scheduling is one of the efficient approaches to solve the forenamed question. Cross-entropy method, which is based on probability density function, has been used to solve the SOC test scheduling problem. Experimental results on ITC'02 benchmarks show that the proposed method provides better test time results compared to the Linear-Programming.
Solving nonlinear system of third-order boundary value problems using block method
NASA Astrophysics Data System (ADS)
See, Phang Pei; Majid, Zanariah Abdul; Suleiman, Mohamed; Ismail, Fudziah Bt; Othman, Khairil Iskandar
2015-05-01
In this paper, we propose an algorithm of two-point block method to solve the nonlinear system of third-order boundary value problems directly. The proposed method is presented in a simple form of Adams type and two approximate solutions will be obtained simultaneously with the block method using variable step size strategy. The method will be implemented with the multiple shooting technique via the three-step iterative method to generate the missing initial value. Most of the existence method will reduce the third-order boundary value problems to a system of first order equations where the systems of six equations need to be solved. The method we proposed in this paper will solve the third-order boundary value problems directly. Two numerical examples are given to illustrate the efficiency of the proposed method.
ERIC Educational Resources Information Center
Miller, Bridget; Taber-Doughty, Teresa
2014-01-01
Three students with mild to moderate intellectual and multiple disability, enrolled in a self-contained functional curriculum class were taught to use a self-monitoring checklist and science notebook to increase independence in inquiry problem-solving skills. Using a single-subject multiple-probe design, all students acquired inquiry…
ERIC Educational Resources Information Center
Swanson, H. Lee; Lussier, Cathy; Orosco, Michael
2013-01-01
This study investigated the role of strategy instruction and cognitive abilities on word problem solving accuracy in children with math difficulties (MD). Elementary school children (N = 120) with and without MD were randomly assigned to 1 of 4 conditions: general-heuristic (e.g., underline question sentence), visual-schematic presentation…
An Examination of Police Officers' Insights into Problem Identification and Problem Solving
ERIC Educational Resources Information Center
Bichler, Gisela; Gaines, Larry
2005-01-01
Problem solving begins with problem identification. Conventional knowledge suggests that because patrol officers work specific geographical areas (beats) on a fairly constant basis, they come to see where the problems exist; thus, police experience alone can be relied on to identify crime problems. However, few have examined whether officers are…
Enhancing decision-making effectiveness in problem-solving teams.
Bazan, S
1998-01-01
Active participation by all group members as well as the generation, presentation, and critical evaluation of a wide range of perspectives and alternatives are hallmarks of effective problem-solving teams. Diverse groups with an odd number of participants (five to seven members are generally best) are manageable and provide an adequate range of perspectives and alternatives. Several problems limit the effectiveness of problem-solving teams. Dysfunctional concurrence or "groupthink" occurs when concurrence seeking in cohesive groups overrides the realistic appraisal of alternative courses of action. Managers initially should withhold their own opinions, assign members the role of critical evaluators, and bring in people from outside the initial group to minimize this problem. Domination by a select few is also a problem because it can squelch the presentation of diverse opinions. Brainstorming and nominal group technique can mitigate this problem. In nominal group technique, a manager guides the group through steps involving brainstorming, recording, and voting on the merits of various alternatives before open discussion is allowed. Decision-making dropouts are group members who withdraw from active participation in the group. Managers can reduce this problem by emphasizing the importance of active participation and by monitoring performance. PMID:10185004
Learning and interactivity in solving a transformation problem.
Guthrie, Lisa G; Vallée-Tourangeau, Frédéric; Vallée-Tourangeau, Gaëlle; Howard, Chelsea
2015-07-01
Outside the psychologist's laboratory, thinking proceeds on the basis of a great deal of interaction with artefacts that are recruited to augment problem-solving skills. The role of interactivity in problem solving was investigated using a river-crossing problem. In Experiment 1A, participants completed the same problem twice, once in a low interactivity condition, and once in a high interactivity condition (with order counterbalanced across participants). Learning, as gauged in terms of latency to completion, was much more pronounced when the high interactivity condition was experienced second. When participants first completed the task in the high interactivity condition, transfer to the low interactivity condition during the second attempt was limited; Experiment 1B replicated this pattern of results. Participants thus showed greater facility to transfer their experience of completing the problem from a low to a high interactivity condition. Experiment 2 was designed to determine the amount of learning in a low and high interactivity condition; in this experiment participants completed the problem twice, but level of interactivity was manipulated between subjects. Learning was evident in both the low and high interactivity groups, but latency per move was significantly faster in the high interactivity group, in both presentations. So-called problem isomorphs instantiated in different task ecologies draw upon different skills and abilities; a distributed cognition analysis may provide a fruitful perspective on learning and transfer. PMID:25616778
Solving the Stochastic Capacity Planning Problems in Semiconductor Manufacturing
NASA Astrophysics Data System (ADS)
Lee, Tzong-Ru.
1995-01-01
The objective of this research is to determine the resource capacity of each work center, i.e., the number of machines and operators, so as to minimize the total resource capacity cost while satisfying the product's or products' total expected waiting time constraint(s). A queueing network model is used to compute the expected waiting time given the current capacity at a particular work center. Three special cases of the capacity planning problems related to semiconductor manufacturing are considered: (1) the single product case, (2) the multiproduct case, and (3) the new product case. The first and second cases are useful in designing a new fab. The third is applicable when modifying a current fab to accommodate a new product. In this research, we propose three traditional approaches to solve the single product case. Because these traditional approaches do not provide an optimal solution in a reasonable time and these three capacity planning problems are NP -hard, we develop a waiting time heuristic in order to find an optimal solution for the single product case in a reasonable time. We use the integer programming approach's result to verify the other algorithms' output. Based on our evaluation through test examples, the waiting time heuristic behaves well. Subsequently, we develop a multiproduct waiting time heuristic with a structure similar to the waiting time heuristic to solve the multiproduct case. The theoretical proofs of the approximation formulae used in both waiting time heuristics are provided. In our experience, we were able to obtain the optimal solution for 49 out of 50 test problems using these waiting time heuristics. Finally, we develop a method based on the multiproduct waiting time heuristic for solving the problem of incorporating a new product in a standing facility. This approach is demonstrated by running a test example. Due to the high resource unit cost, determining an efficient and cost effective means for solving the stochastic capacity planning problem in semiconductor manufacturing is essential.
Russian Doll Search for solving Constraint Optimization problems
Verfaillie, G.; Lemaitre, M.
1996-12-31
If the Constraint Satisfaction framework has been extended to deal with Constraint Optimization problems, it appears that optimization is far more complex than satisfaction. One of the causes of the inefficiency of complete tree search methods, like Depth First Branch and Bound, lies in the poor quality of the lower bound on the global valuation of a partial assignment, even when using Forward Checking techniques. In this paper, we introduce the Russian Doll Search algorithm which replaces one search by n successive searches on nested subproblems (n being the number of problem variables), records the results of each search and uses them later, when solving larger subproblems, in order to improve the lower bound on the global valuation of any partial assignment. On small random problems and on large real scheduling problems, this algorithm yields surprisingly good results, which greatly improve as the problems get more constrained and the bandwidth of the used variable ordering diminishes.
Genetically Breeding Populations of Computer Programs to Solve Problems in Artificial Intelligence
Fernandez, Thomas
1 Genetically Breeding Populations of Computer Programs to Solve Problems in Artificial genetically breeds populations of computer programs to solve problems. In genetic programming, the individuals "genetic pro- gramming" paradigm which genetically breeds popu- lations of computer programs to solve
Role of multiple representations in physics problem solving
NASA Astrophysics Data System (ADS)
Maries, Alexandru
This thesis explores the role of multiple representations in introductory physics students' problem solving performance through several investigations. Representations can help students focus on the conceptual aspects of physics and play a major role in effective problem solving. Diagrammatic representations can play a particularly important role in the initial stages of conceptual analysis and planning of the problem solution. Findings suggest that students who draw productive diagrams are more successful problem solvers even if their approach is primarily mathematical. Furthermore, students provided with a diagram of the physical situation presented in a problem sometimes exhibited deteriorated performance. Think-aloud interviews suggest that this deteriorated performance is in part due to reduced conceptual planning time which caused students to jump to the implementation stage without fully understanding the problem and planning problem solution. Another study investigated two interventions aimed at improving introductory students' representational consistency between mathematical and graphical representations and revealed that excessive scaffolding can have a detrimental effect. The detrimental effect was partly due to increased cognitive load brought on by the additional steps and instructions. Moreover, students who exhibited representational consistency also showed improved problem solving performance. The final investigation is centered on a problem solving task designed to provide information about the pedagogical content knowledge (PCK) of graduate student teaching assistants (TAs). In particular, the TAs identified what they considered to be the most common difficulties of introductory physics students related to graphical representations of kinematics concepts as they occur in the Test of Understanding Graphs in Kinematics (TUG-K). As an extension, the Force Concept Inventory (FCI) was also used to assess this aspect of PCK related to knowledge of student difficulties of both physics instructors and TAs. We find that teaching an independent course and recent teaching experience do not correlate with improved PCK. In addition, the performance of American TAs, Chinese TAs and other foreign TAs in identifying common student difficulties both in the context of the TUG-K and in the context of the FCI is similar. Moreover, there were many common difficulties of introductory physics students that were not identified by many instructors and TAs.
Obtaining first solution faster in parallel problem solving
Kale, L.V.; Vikram, S. . Dept. of Computer Science)
1988-01-01
This paper reports on a prioritizing scheme for parallel problem solving that concentrates the system resources on finding the first solution faster while keeping the storage requirement small. It uses bit-vectors to represent priorities. An efficient data structure for the concommitant priority queue is described. The data structure also ensures that at the two extremes, when the AND-OR tree reduces to a pure AND tree (or to a pure OR tree), the scheme approximates the behavior of the best schemes designed for pure AND (OR) trees. The authors present extended schemes to handle situations when there are dependences accross the subproblems of AND nodes. The scheme has been implemented within an interpreter for parallel logic programs, which can be used for problem-solving. The authors compare the performance of the schemes with the default and other simple schemes. One of the proposed schemes is shown to be quite effective in meeting the dual objective.
Numerical Problems and Agent-Based Models for a Mass Transfer Course
ERIC Educational Resources Information Center
Murthi, Manohar; Shea, Lonnie D.; Snurr, Randall Q.
2009-01-01
Problems requiring numerical solutions of differential equations or the use of agent-based modeling are presented for use in a course on mass transfer. These problems were solved using the popular technical computing language MATLABTM. Students were introduced to MATLAB via a problem with an analytical solution. A more complex problem to which no…
Determination of criteria weights in solving multi-criteria problems
NASA Astrophysics Data System (ADS)
Kasim, Maznah Mat
2014-12-01
A multi-criteria (MC) problem comprises of units to be analyzed under a set of evaluation criteria. Solving a MC problem is basically the process of finding the overall performance or overall quality of the units of analysis by using certain aggregation method. Based on these overall measures of each unit, a decision can be made whether to sort them, to select the best or to group them according to certain ranges. Prior to solving the MC problems, the weights of the related criteria have to be determined with the assumption that the weights represent the degree of importance or the degree of contribution towards the overall performance of the units. This paper presents two main approaches which are called as subjective and objective approaches, where the first one involves evaluator(s) while the latter approach depends on the intrinsic information contained in each criterion. The subjective and objective weights are defined if the criteria are assumed to be independent with each other, but if they are dependent, there is another type of weight, which is called as monotone measure weight or compound weights which represent degree of interaction among the criteria. The measure of individual weights or compound weights must be addressed in solving multi-criteria problems so that the solutions are more reliable since in the real world, evaluation criteria always come with different degree of importance or are dependent with each other. As the real MC problems have their own uniqueness, it is up to the decision maker(s) to decide which type of weights and which method are the most applicable ones for the problem under study.
Toward High-Performance Communications Interfaces for Science Problem Solving
NASA Astrophysics Data System (ADS)
Oviatt, Sharon L.; Cohen, Adrienne O.
2010-12-01
From a theoretical viewpoint, educational interfaces that facilitate communicative actions involving representations central to a domain can maximize students' effort associated with constructing new schemas. In addition, interfaces that minimize working memory demands due to the interface per se, for example by mimicking existing non-digital work practice, can preserve students' attentional focus on their learning task. In this research, we asked the question: What type of interface input capabilities provide best support for science problem solving in both low- and high- performing students? High school students' ability to solve a diverse range of biology problems was compared over longitudinal sessions while they used: (1) hardcopy paper and pencil (2) a digital paper and pen interface (3) pen tablet interface, and (4) graphical tablet interface. Post-test evaluations revealed that time to solve problems, meta-cognitive control, solution correctness, and memory all were significantly enhanced when using the digital pen and paper interface, compared with tablet interfaces. The tangible pen and paper interface also was the only alternative that significantly facilitated skill acquisition in low-performing students. Paradoxically, all students nonetheless believed that the tablet interfaces provided best support for their performance, revealing a lack of self-awareness about how to use computational tools to best advantage. Implications are discussed for how pen interfaces can be optimized for future educational purposes, and for establishing technology fluency curricula to improve students' awareness of the impact of digital tools on their performance.
The amplified quantum Fourier transform: solving the local period problem
NASA Astrophysics Data System (ADS)
Cornwell, David J.
2013-02-01
This paper creates and analyzes a new quantum algorithm called the Amplified Quantum Fourier Transform (QFT) for solving the following problem: The Local Period Problem: Let L = {0,1 . . . N-1} be a set of N labels and let A be a subset of M labels of period P, i.e. a subset of the form A=\\{j:j=s+rP,r=0,1ldots M-1\\} where {P? sqrt{N}} and {M ? N}, and where M is assumed known. Given an oracle f : L? {0,1} which is 1 on A and 0 elsewhere, find the local period P and the offset s.
ERIC Educational Resources Information Center
Mossuto, Mark
2009-01-01
The adoption of problem-based learning as a teaching method in the advertising and public relations programs offered by the Business TAFE (Technical and Further Education) School at RMIT University is explored in this paper. The effect of problem-based learning on student engagement, student learning and contextualised problem-solving was…
Problem Solving in Math (Math 43900) Fall 2013 Week ten (November 5) problems --Games people play
Galvin, David
Problem Solving in Math (Math 43900) Fall 2013 Week ten (November 5) problems -- Games people play Instructor: David Galvin These problem are all about games played between two players. Usually when play as well as possible. Once you have decided which player wins (maybe based on analyzing small
Constructing a Coherent Problem Model to Facilitate Algebra Problem Solving in a Chemistry Context
ERIC Educational Resources Information Center
Ngu, Bing Hiong; Yeung, Alexander Seeshing; Phan, Huy P.
2015-01-01
An experiment using a sample of 11th graders compared text editing and worked examples approaches in learning to solve dilution and molarity algebra word problems in a chemistry context. Text editing requires students to assess the structure of a word problem by specifying whether the problem text contains sufficient, missing, or irrelevant…
Numerical Methods II Problem sheet 1
Giles, Mike
Numerical Methods II M. Giles Problem sheet 1 1. A change of variables from x (x1, x2, . . . xn that the distribution of 2 is approximately Normal, determine how big N must be to get the correct value for 2 to within
The FD-method for solving Sturm-Liouville problems with special singular differential operator
Makarov, Volodymyr; Klimenko, Yaroslav
2011-01-01
In the paper we describe a superexponentially convergent numerical-analytical method for solving the eigenvalue problem for the some class of singular differential operators with boundary conditions. The method (FD-method) was firstly proposed by V. L. Makarov and successfully combines the benefits of using the {\\it coefficient approximation methods} (CAM) and the homotopy approach. The sufficient conditions which provides convergence of the proposed method are stated and rigorously substantiated. The algorithm for the software implementation of the proposed method is described too. A lot of numerical examples are included in the paper. The examples confirm the theoretical conclusions. We also have made the comparison between the results obtained by FD-method and results obtained by the powerful software package for solving Sturm-Liouville problems --- SLEIGN2.
Spagnolo, Filippo
Performance Reda Abu-Elwan El Sayed, Ph.D Mathematics Education, Sultan Qaboos University, Sultanate of Oman) To develop educational activities for mathamatical problem solving and posing as a part of mathematics
Buchanan, Catherine
2008-01-01
The primary focus of this work is a thorough research into the current available techniques for solving nonlinear programming problems. Emphasis is placed on interior-point methods and the connection between optimal ...
The delayed coupling method: An algorithm for solving banded diagonal matrix problems in parallel
Mattor, N.; Williams, T.J.; Hewett, D.W.; Dimits, A.M.
1997-09-01
We present a new algorithm for solving banded diagonal matrix problems efficiently on distributed-memory parallel computers, designed originally for use in dynamic alternating-direction implicit partial differential equation solvers. The algorithm optimizes efficiency with respect to the number of numerical operations and to the amount of interprocessor communication. This is called the ``delayed coupling method`` because the communication is deferred until needed. We focus here on tridiagonal and periodic tridiagonal systems.
Use of computers in problem solving and in student laboratories
NASA Astrophysics Data System (ADS)
Jodl, Hans J.
1997-03-01
If we use the computer in teaching, how do we influence the learning process and behaviour; and if there is feedback, is this positive or negative? The object of our investigations were physics majors. During several years we observed students using PCs in a student laboratory or in problem solving parallel to a lecture-style introductory physics course. In the first case we compared the ideal situation in the student laboratory with the real situation; or in other words, with what we think the students should learn (˜100 goals, see appendix), and what they actually do (questionnaire). In addition we studied which of these experimentation goals can be abandoned, modified or newly established using PCs on-line/off-line with an experiment. In the second case we carefully analyzed typical physics problems (classes, levels of complexity, examples) and solved them with mathematical tools. In the future we must decide if such an exercise is important, if the solution of a problem can be achieved by two lines with the help of such a tool; and if we want students pushing buttons activating a mathematical procedure in such a tool without knowing what they are doing. In addition we describe new classes of problems using the PCs (see appendix).
Rütsche, Bruno; Hauser, Tobias U.; Jäncke, Lutz; Grabner, Roland H.
2015-01-01
The problem size effect is a well-established finding in arithmetic problem solving and is characterized by worse performance in problems with larger compared to smaller operand size. Solving small and large arithmetic problems has also been shown to involve different cognitive processes and distinct electroencephalography (EEG) oscillations over the left posterior parietal cortex (LPPC). In this study, we aimed to provide further evidence for these dissociations by using transcranial direct current stimulation (tDCS). Participants underwent anodal (30min, 1.5 mA, LPPC) and sham tDCS. After the stimulation, we recorded their neural activity using EEG while the participants solved small and large arithmetic problems. We found that the tDCS effects on performance and oscillatory activity critically depended on the problem size. While anodal tDCS improved response latencies in large arithmetic problems, it decreased solution rates in small arithmetic problems. Likewise, the lower-alpha desynchronization in large problems increased, whereas the theta synchronization in small problems decreased. These findings reveal that the LPPC is differentially involved in solving small and large arithmetic problems and demonstrate that the effects of brain stimulation strikingly differ depending on the involved neuro-cognitive processes. PMID:25789486