Teaching through Problem Solving
ERIC Educational Resources Information Center
Fi, Cos D.; Degner, Katherine M.
2012-01-01
Teaching through Problem Solving (TtPS) is an effective way to teach mathematics "for" understanding. It also provides students with a way to learn mathematics "with" understanding. In this article, the authors present a definition of what it means to teach through problem solving. They also describe a professional development vignette that…
Teaching Problem-Solving Skills
NSDL National Science Digital Library
2013-01-01
This webpage offers some basic principles for teaching problem solving that foster critical thinking and decision-making skills. It includes a 5-step implementation model developed by D.R. Woods and a brief list of references. [The Forshay & Kirkley paper is cataloged separately and linked as a related resource.
Journey toward Teaching Mathematics through Problem Solving
ERIC Educational Resources Information Center
Sakshaug, Lynae E.; Wohlhuter, Kay A.
2010-01-01
Teaching mathematics through problem solving is a challenge for teachers who learned mathematics by doing exercises. How do teachers develop their own problem solving abilities as well as their abilities to teach mathematics through problem solving? A group of teachers began the journey of learning to teach through problem solving while taking a…
Teaching Problem Solving to College Students
ERIC Educational Resources Information Center
Malouff, John M.
2011-01-01
This article describes steps of teaching problem solving to college students and provides examples in the context of a university course. The steps involve (1) identifying the types of problems and types of problem solving methods to be covered, (2) instructing the students in problem-recognition and problem solving methods, along with ways of…
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…
Problem Solving in Teaching Technology
NSDL National Science Digital Library
Esa-Matti Jarvinen (University of Oulu)
2012-01-16
This chapter from the dissertation "Education About and Through Technology: In Search of More Appropriate Pedagogical Approaches to Technology Education" explores the importance and nature of problem solving in technology.
Teaching Teamwork and Problem Solving Concurrently
ERIC Educational Resources Information Center
Goltz, Sonia M.; Hietapelto, Amy B.; Reinsch, Roger W.; Tyrell, Sharon K.
2008-01-01
Teamwork and problem-solving skills have frequently been identified by business leaders as being key competencies; thus, teaching methods such as problem-based learning and team-based learning have been developed. However, the focus of these methods has been on teaching one skill or the other. A key argument for teaching the skills concurrently is…
Problem Solving Software: What Does It Teach?
ERIC Educational Resources Information Center
Duffield, Judith A.
The purpose of this study was to examine the potential of computer-assisted instruction (CAI) for teaching problem solving skills. It was conducted in three phases. During the first phase, two pieces of problem solving software, "The King's Rule" and "Safari Search," were identified and analyzed. During the second phase, two groups of six…
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…
Teaching Problem Solving in Secondary School Mathematics Classrooms
ERIC Educational Resources Information Center
Lam, Toh Tin; Guan, Tay Eng; Seng, Quek Khiok; Hoong, Leong Yew; Choon, Toh Pee; Him, Ho Foo; Jaguthsing, Dindyal
2014-01-01
This paper reports an innovative approach to teaching problem solving in secondary school mathematics classrooms based on a specifically designed problem-solving module.This approach adopts the science practical paradigm and rides on the works of Polya and Schoenfeld in order to give greater emphasis to the problem solving processes. We report the…
Problem-Solving Exercises and Evolution Teaching
ERIC Educational Resources Information Center
Angseesing, J. P. A.
1978-01-01
It is suggested that the work of Kammerer provides suitable material, in the form of case studies on which to base discussions of Lamarckism versus Darwinism. A set of structured problems is described as an example of possible problem-solving exercises, and further experiments to extend Kammerer's work are outlined. (Author/MA)
Designing Teaching Materials for Learning Problem Solving in Technology Education.
ERIC Educational Resources Information Center
Doornekamp, B. G.
2001-01-01
Considers domain-specific design specifications in the process of designing teaching materials for learning problem solving in technology education in order to raise learning outcomes with these materials. Focuses on a construction problem (open-ended) and an explanation problem (constrained). Compares these newly-designed teaching materials with…
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…
Teaching Evidence-based Medicine Using Literature for Problem Solving.
ERIC Educational Resources Information Center
Mottonen, Merja; Tapanainen, Paivi; Nuutinen, Matti; Rantala, Heikki; Vainionpaa, Leena; Uhari, Matti
2001-01-01
Evidence-based medicine--the process of using research findings systematically as the basis for clinical decisions--can be taught using problem-solving teaching methods. Evaluates whether it was possible to motivate students to use the original literature by giving them selected patient problems to solve. (Author/ASK)
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…
Teaching science problem solving: An overview of experimental work
NASA Astrophysics Data System (ADS)
Taconis, R.; Ferguson-Hessler, M. G. M.; Broekkamp, H.
2001-04-01
The traditional approach to teaching science problem solving is having the students work individually on a large number of problems. This approach has long been overtaken by research suggesting and testing other methods, which are expected to be more effective. To get an overview of the characteristics of good and innovative problem-solving teaching strategies, we performed an analysis of a number of articles published between 1985 and 1995 in high-standard international journals, describing experimental research into the effectiveness of a wide variety of teaching strategies for science problem solving. To characterize the teaching strategies found, we used a model of the capacities needed for effective science problem solving, composed of a knowledge base and a skills base. The relations between the cognitive capacities required by the experimental or control treatments and those of the model were specified and used as independent variables. Other independent variables were learning conditions such as feedback and group work. As a dependent variable we used standardized learning effects. We identified 22 articles describing 40 experiments that met the standards we deemed necessary for a meta-analysis. These experiments were analyzed both with quantitative (correlational) methods and with a systematic qualitative method. A few of the independent variables were found to characterize effective strategies for teaching science problem solving. Effective treatments all gave attention to the structure and function (the schemata) of the knowledge base, whereas attention to knowledge of strategy and the practice of problem solving turned out to have little effect. As for learning conditions, both providing the learners with guidelines and criteria they can use in judging their own problem-solving process and products, and providing immediate feedback to them were found to be important prerequisites for the acquisition of problem-solving skills. Group work did not lead to positive effects unless combined with other variables, such as guidelines and feedback.
Problem-solving strategies for teaching mathematics to deaf students.
Mousley, K; Kelly, R R
1998-10-01
Three teaching and learning strategies for problem solving were implemented with first- and second-year deaf college students enrolled in mathematics courses at the National Technical Institute for the Deaf (NTID), Rochester Institute of Technology. These strategies involved the students in (a) giving an explanation to a peer observer in sign language, after which they would put their understanding of a problem and its solution in writing; (b) visualizing the problem-solving process prior to starting to solve a problem; and (c) observing their teacher modeling the analytical process step by step for a sample problem prior to solving math word problems. The students were asked to solve two types of problems: typical word problems, and a visual/manipulative puzzle that would provide a problem-solving experience that would contrast with the experience of solving a problem presented in text format. The results showed that these kinds of instructional strategies can enhance the problem-solving performance of deaf and hard of hearing college students. PMID:9842060
Teaching Problem-Solving as a Habit of Mind
NSDL National Science Digital Library
2011-01-01
Pat Wagener of Los Medanos College describes an inquiry project with his Developmental Math students: "Through my classroom inquiry into teaching problem-solving, I have shown that students can learn to solve problems in ways that help them develop "habits of mind" with problem solving processes with the following features in the instructional plan: Students get lots of problem solving practice, with an emphasis on long term learning of habits of mind Students are introduced to the idea of multiple representations early, and this approach is reinforced through the curriculum materials in meaningful ways and in all aspects of the course Students have many opportunities to share their problem solving publicly through board work "
Problem-Solving Strategies for Teaching Mathematics to Deaf Students
Keith Mousley; Ronald R. Kelly
1998-01-01
Three teaching and learning strategies for problem solving were implemented with first- and second-year deaf college students enrolled in mathematics courses at the National Technical Institute for the Deaf (NTID), Rochester Institute of Technology. These strategies involved the students in ( a ) giving an explanation to a peer observer in sign language, after which they would put their understanding
Minnesota, University of
Page 17 2. Teaching Problem Solving This chapter includes some of the materials we use to teach an organized, logical problem-solving strategy to students in our calculus-based physics course. Page A Logical Problem-Solving Strategy This is an excerpt from the first chapter of The Competent Problem Solver
Problem-Solving Style, Teaching Style, and Teaching Practices among In-Service Teachers
ERIC Educational Resources Information Center
Mandelbaum, Matthew Gary
2013-01-01
While educational psychologists have found evidence for effective teaching behaviors that lead to academic achievement, pedagogy still lacks prescriptive accuracy for all students at all times. Teaching style and problem-solving style may be underlying mechanisms behind teaching behaviors. The present study looked at these three…
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…
Teaching Creativity and Inventive Problem Solving in Science
2009-01-01
Engaging learners in the excitement of science, helping them discover the value of evidence-based reasoning and higher-order cognitive skills, and teaching them to become creative problem solvers have long been goals of science education reformers. But the means to achieve these goals, especially methods to promote creative thinking in scientific problem solving, have not become widely known or used. In this essay, I review the evidence that creativity is not a single hard-to-measure property. The creative process can be explained by reference to increasingly well-understood cognitive skills such as cognitive flexibility and inhibitory control that are widely distributed in the population. I explore the relationship between creativity and the higher-order cognitive skills, review assessment methods, and describe several instructional strategies for enhancing creative problem solving in the college classroom. Evidence suggests that instruction to support the development of creativity requires inquiry-based teaching that includes explicit strategies to promote cognitive flexibility. Students need to be repeatedly reminded and shown how to be creative, to integrate material across subject areas, to question their own assumptions, and to imagine other viewpoints and possibilities. Further research is required to determine whether college students' learning will be enhanced by these measures. PMID:19723812
NSDL National Science Digital Library
2014-01-01
This page provides a summary of five topics on problems solving: What is a Problem?, What is Problem Solving?, Problem Solving Strategies, Why Teach Problem Solving?, Organizing the Teaching of Problem Solving and a reference section. Users can read more detailed information by accessing the 'More Information' link under each heading.
Teaching Young Children Interpersonal Problem-Solving Skills
ERIC Educational Resources Information Center
Joseph, Gail E.; Strain, Phillip S.
2010-01-01
Learning how to problem solve is one of the key developmental milestones in early childhood. Children's problem-solving skills represent a key feature in the development of social competence. Problem solving allows children to stay calm during difficult situations, repair social relations quickly, and get their needs met in ways that are safe and…
Introductory Economic Geography: Problem-Solving or a Teaching Problem?
ERIC Educational Resources Information Center
Wheeler, James O.
Because economic geography is viewed as a field with too many different aspects for one person to master, teaching an introductory course in the subject poses the challenge of selecting an organizing theme. One specific approach, organized around higher level generalizations and theories, is the use of location theory. Coupling location theory…
Problem-Solving Teaching in the Chemistry Laboratory: Leaving the Cooks...
ERIC Educational Resources Information Center
Gallet, Christian
1998-01-01
Gives a step-by-step description of a problem-solving microscale chemistry laboratory to show how this implementation of problem-solving teaching can be put into practice. Pedagogical and practical issues are discussed. (DKM)
THE INCLUSION OF ROBOTS WITHIN THE TEACHING OF PROBLEM-SOLVING: PRELIMINARY RESULTS
Hill, Gary
241 THE INCLUSION OF ROBOTS WITHIN THE TEACHING OF PROBLEM- SOLVING: PRELIMINARY RESULTS Scott.hill@northampton.ac.uk ABSTRACT This poster considers the first six months experience of using Mindstorm (LEGO, Denmark) robot kits to teach problem-solving. Robots were used as necessary foundation studies prior to teaching
Clinical Problem Analysis (CPA): A Systematic Approach To Teaching Complex Medical Problem Solving.
ERIC Educational Resources Information Center
Custers, Eugene J. F. M.; Robbe, Peter F. De Vries; Stuyt, Paul M. J.
2000-01-01
Discusses clinical problem analysis (CPA) in medical education, an approach to solving complex clinical problems. Outlines the five step CPA model and examines the value of CPA's content-independent (methodical) approach. Argues that teaching students to use CPA will enable them to avoid common diagnostic reasoning errors and pitfalls. Compares…
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…
Teaching for Analogical Transfer as a Means of Improving Problem-Solving, Thinking and Learning.
ERIC Educational Resources Information Center
Klauer, Karl Josef
1989-01-01
Discusses paradigmatic teaching, or teaching for analogical transfer, which requires teaching a basic structure by appropriate examples, as well as teaching its application in various fields and contexts. Examples for problem solving, inductive thinking, and learning to learn are given, and a training program with adult learners is described. (15…
ERIC Educational Resources Information Center
Brandt, Barbara F.; Lubawy, William C.
1998-01-01
Microsituations teaching is a case-based, active learning tool developed from cognitive learning theory to teach problem-solving skills to large classes while conserving faculty and other resources. Since implementing this method in an endocrine pharmacology course at the University of Kentucky, student performance on problem-solving examinations…
RAPTOR: a visual programming environment for teaching algorithmic problem solving
Martin C. Carlisle; Terry A. Wilson; Jeffrey W. Humphries; Steven M. Hadfield
2005-01-01
When students are learning to develop algorithms, they very often spend more time dealing with issues of syntax rather than solving the problem. Additionally, the textual nature of most programming environments works against the learning style of the majority of students. RAPTOR is a visual programming environment, designed specifically to help students envision their algorithms and avoid syntactic baggage. RAPTOR
Why Teach Cooperative Problem-Solving in Adult Education?
ERIC Educational Resources Information Center
Walker, Ann
2013-01-01
This article explores aspects of the theory and practice of cooperative problem solving in education from the perspective of community-based adult learning. It describes how society can benefit from using collaborative and questioning approaches as a positive alternative to more confrontational methods of resolving differences and how collective…
ERIC Educational Resources Information Center
Hong, Soo-Young; Diamond, Karen E.
2012-01-01
The present study examined the efficacy of two different approaches to teaching designed to facilitate children's learning about science concepts and vocabulary related to objects' floating and sinking and scientific problem-solving skills: responsive teaching (RT) and the combination of responsive teaching and explicit instruction (RT + EI).…
Soo-Young Hong; Karen E. Diamond
2008-01-01
The present study examined the efficacy of two different approaches to teaching designed to facilitate children's learning about science concepts and vocabulary related to objects’ floating and sinking and scientific problem-solving skills: responsive teaching (RT) and the combination of responsive teaching and explicit instruction (RT+EI). Participants included 104 children (51 boys) aged four to five years. Small groups of children
NSDL National Science Digital Library
Anthony Rickard
2005-01-01
This case study shows how a teacher's middle school mathematics instruction evolved from teaching problem solving as computation exercises to teaching how to select and implement combinations of problem solving strategies.
Mathematics Through Problem Solving
NSDL National Science Digital Library
Margaret Taplin
2011-01-01
This article describes what it means to teach mathematics using a problem solving approach and goes on to explain why teaching via problem solving is important in the development of a student’s mathematical thinking. Problem solving is presented as a way to be able to address three of the values of mathematics: functional, logical and aesthetic.
Maxwell, Bruce D.
Applied Mathematics programs1 teach individuals to use mathematical methods in solving problems. Students in mathematics may use mathematical theory, computational techniques, algorithms, and the latest logic and language. Mathematics programs fall into two classes of mathematics, applied mathematics
ERIC Educational Resources Information Center
Gresens, Ay-Shin
2011-01-01
Teaching math problem solving has been a challenge for many educators, especially in Title I schools. Textbooks provided by the district under study were the primary source of math instructional material. Moreover, the instruction of computation was the method used for preparing students for success with later problem solving lessons. The lack of…
Teaching the Pressure-Flow Hypothesis of Phloem Transport in a Problem-Solving Session
ERIC Educational Resources Information Center
Clifford, Paul
2004-01-01
Problem solving is an ideal learning strategy, especially for topics that are perceived as difficult to teach. As an example, a format is described for a problem-solving session designed to help students understand the pressure-flow hypothesis of phloem transport in plants. Five key facts and their discussion can lead to the conclusion that a…
ERIC Educational Resources Information Center
Smith, Mike U.
Both teachers and students alike acknowledge that genetics and genetics problem-solving are extremely difficult to learn and to teach. Therefore, a number of recommendations for teaching college genetics are offered. Although few of these ideas have as yet been tested in controlled experiments, they are supported by research and experience and may…
Successful College Teaching: Problem-Solving Strategies of Distinguished Professors.
ERIC Educational Resources Information Center
Baiocco, Sharon A.; DeWaters, Jamie N.
This book offers successful teaching approaches based on college surveys and interviews with 30 professors who have received awards for teaching excellence. Chapter 1 is an overview of the challenges of college teaching. Chapters 2 and 3 consider agents for change, institutional inertia, and an historical evaluation of faculty development.…
Teaching Creative Problem Solving Methods to Undergraduate Economics and Business Students
ERIC Educational Resources Information Center
Cancer, Vesna
2014-01-01
This paper seeks to explore the need for and possibility of teaching current and potential problem solvers--undergraduate students in the economic and business field to define problems, to generate and choose creative and useful ideas and to verify them. It aims to select an array of quick and easy-to-use creative problem solving (CPS) techniques.…
Yakubova, Gulnoza; Hughes, Elizabeth M; Hornberger, Erin
2015-09-01
The purpose of this study was to determine the effectiveness of a point-of-view video modeling intervention to teach mathematics problem-solving when working on word problems involving subtracting mixed fractions with uncommon denominators. Using a multiple-probe across students design of single-case methodology, three high school students with ASD completed the study. All three students demonstrated greater accuracy in solving fraction word problems and maintained accuracy levels at a 1-week follow-up. PMID:25911304
ERIC Educational Resources Information Center
Mataka, Lloyd M.; Cobern, William W.; Grunert, Megan L.; Mutambuki, Jacinta; Akom, George
2014-01-01
This study investigate the effectiveness of adding an "explicit general problem solving teaching strategy" (EGPS) to guided inquiry (GI) on pre-service elementary school teachers' ability to solve heat transfer problems. The pre-service elementary teachers in this study were enrolled in two sections of a chemistry course for…
ERIC Educational Resources Information Center
Yakubova, Gulnoza; Hughes, Elizabeth M.; Hornberger, Erin
2015-01-01
The purpose of this study was to determine the effectiveness of a point-of-view video modeling intervention to teach mathematics problem-solving when working on word problems involving subtracting mixed fractions with uncommon denominators. Using a multiple-probe across students design of single-case methodology, three high school students with…
NSDL National Science Digital Library
Office of Educational Partnerships,
Students are introduced to a systematic procedure for solving problems through a demonstration and then the application of the method to an everyday activity. The unit project is introduced to provide relevance to subsequent lessons.
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…
Teaching the Grant Proposal as a Problem-Solving Strategy: A Rhetorical Approach.
ERIC Educational Resources Information Center
Smith, Herbert J.
Technical communications courses, which frequently present the research proposal as part of the report writing segment, rarely teach the grant proposal, even though it can provide the instructor with a vehicle for presenting such rhetorical strategies as audience analysis and persuasive writing. In addition to its problem solving structure, the…
Fifth Grade Children's Use of Reciprocal Teaching to Solve Word Problems in Mathematics
ERIC Educational Resources Information Center
Collen, Mary Helen
2011-01-01
Reciprocal teaching, a social constructivist instruction method, was explored in this study on the mathematical word problem solving skills of fifth grade students in two elementary schools within a suburban school district in upstate New York. Eighty-five students in four intact classes participated in this mixed methods study. Using a…
The Effectiveness of a CBI Program for Teaching Problem Solving Skills to Middle Level Students.
ERIC Educational Resources Information Center
Langholz, Judith; Smaldino, Sharon E.
This study focuses on the effectiveness of "Solutions Unlimited," a computer software program developed to teach problem solving to middle level students. Fifty-one fourth, fifth, and sixth graders (21 girls and 30 boys) attending a private school in a small mid-west community were the subjects for this experiment; none had received prior training…
ERIC Educational Resources Information Center
Erdamar, Gurcu; Alpan, Gulgun
2013-01-01
This study aims to examine the development of preservice teachers' epistemological beliefs and problem solving skills in the process of teaching practice. Participants of this descriptive study were senior students from Gazi University's Faculty of Vocational Education ("n" = 189). They completed the Epistemological Belief…
NSDL National Science Digital Library
This paper, presented at the 2002 Physics Education Research Conference, shares an initial hypothesis of instructors' beliefs about their role in helping students learn to solve problems in an introductory calculus-based physics course. Instructors see their teaching role as primarily providing resources and making suggestions, with little mentioning of how they influence the students to use the resources or follow the suggestions.
Solving Real Community Problems to Improve the Teaching of Public Affairs
ERIC Educational Resources Information Center
Yaghi, Abdulfattah; Alibeli, Madalla
2014-01-01
In order to achieve their course learning outcomes, public affairs instructors can train students to solve real community problems (SRCP). This approach focuses on the learners themselves and aims to transform the role of college professors from traditional teaching (lecturing) to facilitating and coaching students' learning activities. This…
A Teaching-Learning Method Enhancing Problem Solving and Motivation in Secondary Schools.
ERIC Educational Resources Information Center
Markoczi-Revak, Ibolya
2003-01-01
Presents a teaching-learning method for enhancing problem solving and motivation for studying science in secondary schools. Emerges from a former survey which, found that the motivation of 14-18-year-olds as measured by the Kozekik-Entwistle test was at a rather low level. (Contains 16 references.) (Author/YDS)
Using Problem Solving to Teach a Programming Language.
ERIC Educational Resources Information Center
Milbrandt, George
1995-01-01
Computer studies courses should incorporate as many computer concepts and programming language experiences as possible. A gradual increase in problem difficulty will help the student to understand various computer concepts, and the programming language's syntax and structure. A sidebar provides two examples of how to establish a learning…
Comparing Explicit and Implicit Teaching of Multiple Representation Use in Physics Problem Solving
NASA Astrophysics Data System (ADS)
Kohl, P.; Rosengrant, D.; Finkelstein, N.
2007-01-01
There exist both explicit and implicit approaches to teaching students how to solve physics problems involving multiple representations. In the former, students are taught explicit problem-solving approaches, such as lists of steps, and these approaches are emphasized throughout the course. In the latter, good problem-solving strategies are modeled for students by the instructor and homework and exams present problems that require multiple representation use, but students are rarely told explicitly to take a given approach. We report on comparative study of these two approaches; students at Rutgers University receive explicit instruction, while students from the University of Colorado receive implicit instruction. Students in each course solve five common electrostatics problems of varying difficulty. We compare student performances and their use of pictures and free-body diagrams. We also compare the instructional environments, looking at teaching approaches and the frequency of multiple-representation use in lectures and exams. We find that students learning via implicit instruction do slightly better and use multiple representations more often on the shorter problems, but that students learning via explicit instruction are more likely to generate correct free-body diagrams on the hardest problem.
An interactive problem-solving approach to teach traumatology for medical students
2010-01-01
Aim We aimed to evaluate an interactive problem-solving approach for teaching traumatology from perspectives of students and consider its implications on Faculty development. Methods A two hour problem-solving, interactive tutorial on traumatology was structured to cover main topics in trauma management. The tutorial was based on real cases covering specific topics and objectives. Seven tutorials (5-9 students in each) were given by the same tutor with the same format for fourth and fifth year medical students in Auckland and UAE Universities (n = 50). A 16 item questionnaire, on a 7 point Likert-type scale, focusing on educational tools, tutor-based skills, and student-centered skills were answered by the students followed by open ended comments. Results The tutorials were highly ranked by the students. The mean values of educational tools was the highest followed by tutor-centered skills and finally student-centered skills. There was a significant increase of the rating of studied attributes over time (F = 3.9, p = 0.004, ANOVA). Students' open ended comments were highly supportive of the interactive problem-solving approach for teaching traumatology. Conclusions The interactive problem-solving approach for tutorials can be an effective enjoyable alternative or supplement to traditional instruction for teaching traumatology to medical students. Training for this approach should be encouraged for Faculty development. PMID:20707895
ERIC Educational Resources Information Center
de Leeuw, L.
Sixty-four fifth and sixth-grade pupils were taught number series extrapolation by either an algorithm, fully prescribed problem-solving method or a heuristic, less prescribed method. The trained problems were within categories of two degrees of complexity. There were 16 subjects in each cell of the 2 by 2 design used. Aptitude Treatment…
Wu, Zong-Sheng; Fu, Wei-Ping; Xue, Ru
2015-01-01
Teaching-learning-based optimization (TLBO) algorithm is proposed in recent years that simulates the teaching-learning phenomenon of a classroom to effectively solve global optimization of multidimensional, linear, and nonlinear problems over continuous spaces. In this paper, an improved teaching-learning-based optimization algorithm is presented, which is called nonlinear inertia weighted teaching-learning-based optimization (NIWTLBO) algorithm. This algorithm introduces a nonlinear inertia weighted factor into the basic TLBO to control the memory rate of learners and uses a dynamic inertia weighted factor to replace the original random number in teacher phase and learner phase. The proposed algorithm is tested on a number of benchmark functions, and its performance comparisons are provided against the basic TLBO and some other well-known optimization algorithms. The experiment results show that the proposed algorithm has a faster convergence rate and better performance than the basic TLBO and some other algorithms as well. PMID:26421005
Wu, Zong-Sheng; Fu, Wei-Ping; Xue, Ru
2015-01-01
Teaching-learning-based optimization (TLBO) algorithm is proposed in recent years that simulates the teaching-learning phenomenon of a classroom to effectively solve global optimization of multidimensional, linear, and nonlinear problems over continuous spaces. In this paper, an improved teaching-learning-based optimization algorithm is presented, which is called nonlinear inertia weighted teaching-learning-based optimization (NIWTLBO) algorithm. This algorithm introduces a nonlinear inertia weighted factor into the basic TLBO to control the memory rate of learners and uses a dynamic inertia weighted factor to replace the original random number in teacher phase and learner phase. The proposed algorithm is tested on a number of benchmark functions, and its performance comparisons are provided against the basic TLBO and some other well-known optimization algorithms. The experiment results show that the proposed algorithm has a faster convergence rate and better performance than the basic TLBO and some other algorithms as well. PMID:26421005
Teaching genetics using hands-on models, problem solving, and inquiry-based methods
NASA Astrophysics Data System (ADS)
Hoppe, Stephanie Ann
Teaching genetics can be challenging because of the difficulty of the content and misconceptions students might hold. This thesis focused on using hands-on model activities, problem solving, and inquiry-based teaching/learning methods in order to increase student understanding in an introductory biology class in the area of genetics. Various activities using these three methods were implemented into the classes to address any misconceptions and increase student learning of the difficult concepts. The activities that were implemented were shown to be successful based on pre-post assessment score comparison. The students were assessed on the subjects of inheritance patterns, meiosis, and protein synthesis and demonstrated growth in all of the areas. It was found that hands-on models, problem solving, and inquiry-based activities were more successful in learning concepts in genetics and the students were more engaged than tradition styles of lecture.
Henderson, Charles
that influence teaching and learning. * Previously at School of Physics and Astronomy, University of MinnesotaPage 1 Physics Faculty Beliefs and Values about the Teaching and Learning of Problem Solving Part artifacts similar to those they likely encounter in their teaching environment. The analysis procedure
Use of a problem-based learning exercise to teach the lean 8-step problem-solving method.
Tovar, Elizabeth G; Warshawsky, Nora
2015-01-01
Doctor of nursing practice (DNP) graduates must be prepared to lead quality improvement (QI) initiatives in health care settings; however, effective and feasible teaching strategies pose a challenge for many DNP program faculties. This article describes a successful and practical problem-based learning exercise for students to work through the QI process using the Lean 8-step problem-solving method. Suggestions for faculty and recommendations for future activities are discussed. PMID:25695501
Theme: Is Problem-Solving Teaching and SAE Needed in Agricultural Education in the 21st Century?
ERIC Educational Resources Information Center
Wardlow, George, Ed.
1999-01-01
Nine articles in this theme issue address problem-solving teaching and supervised agricultural experience. Topics covered include systems approaches to SAE, SAE for Y2K, SAE for science, applied SAE, types of SAE, and examples of activities. (JOW)
ERIC Educational Resources Information Center
O'Reilly, Mark F.; Lancioni, Giulio E.; Sigafoos, Jeff; O'Donoghue, Deirdre; Lacey, Claire; Edrisinha, Chaturi
2004-01-01
We compared the effectiveness of a problem-solving and an external control intervention to teach social skills to five adults with mild intellectual disabilities. The social skills of ''responding to corrective feedback'' and ''managing conflict'' were targeted for intervention. Each participant received the problem-solving intervention with one…
The Teaching of Elementary Problem Solving in Engineering and Related Fields.
ERIC Educational Resources Information Center
Lubkin, James L., Ed.
This monograph presents 13 papers dealing with various aspects of elementary problem solving. They are: (1) "Training for Effective Problem Solving" (Gary A. Davis); (2) "Patterns of Problem Solving--A Campus-Wide Course at UCLA" (Moshe F. Rubinstein, L. Robin Keller, Edward A. Kazmarek); (3) "A Taxonomy of Problem-Solving Activities and Its…
Solving Trade Discount Word Problems
NSDL National Science Digital Library
Coonce, Carol
2008-01-01
This learning object from Wisc-Online covers trade discount word problems. The lesson teaches a method of solving these problems which requires students to memorize only one equation. Example problems are included.
ERIC Educational Resources Information Center
Kim, Sun A.; Wang, Peishi; Michaels, Craig A.
2015-01-01
This article investigates the effects of fraction word problem-solving instruction involving explicit teaching of the concrete-representational-abstract sequence with culturally relevant teaching examples for 3 low-performing Asian immigrant English learners who spoke a language other than English at home. We used a multiple probe design across…
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.…
NASA Astrophysics Data System (ADS)
Powers, S. E.
2001-12-01
An NSF-funded project-based program was implemented by Clarkson University in 2000 to increase the interest and knowledge of middle school students in science, math and technology through the solution of an environmental problem that is relevant to their local school community. Clarkson students developed curricula for 7th and 8th grade science and technology classes and then worked with the middle school students throughout the year to reduce to transform solid waste into healthy soil for plant growth. The solution to this problem provided a vehicle to teach fundamental science and math content as well as the process of doing science and solving problems. Placing college science and engineering students in the classroom proved to be a great mechanism for engaging students in science topics and providing mentoring experiences that differ greatly from those that a practicing professional can provide. It is clear, however, that the students must be well prepared for this experience to maximize the benefits of university - school district partnership programs. The objective of this presentation will be to describe the training program that has been developed to prepare Clarkson students to work effectively in middle school classrooms. The Clarkson students are trained for their classroom experiences during the summer before they enter the classroom. They receive three credits for the training, curriculum development, and teaching efforts. It is expected that the students have the necessary background in science and technology to teach themselves the content and environmental relevance of the problem they will be teaching. Lectures and workshops focus on how to transform this knowledge into a project-based curriculum that meets the needs of the teachers, while also exciting the students. Lecture/workshops include: team work; components of an effective class and teacher; project planning and management; problem solving process; inquiry based learning, deductive/inductive learning; creating unit/lesson plan; defining learning objectives; incorporating mentoring into program; NYS standards and science exam; and, assessment techniques. Journals are used to encourage the fellows to reflect on their learning and own educational experiences. An evaluation of the program by both Clarkson students and their partner teachers indicated that this training was appropriate for the students to enter the classroom as professional scientists and engineers. Their classroom interaction skills improved throughout the year.
ERIC Educational Resources Information Center
Dyer, James E.; Osborne, Edward W.
1996-01-01
One group of Illinois secondary agriculture students was taught using a problem-solving approach (PSA), the other with a subject-matter approach (SMA). A problem-solving posttest and Group Embedded Figures Test showed significantly higher problem-solving ability in the PSA group. Field independent learners in the PSA group significantly increased…
Programming Objects To Think With: Logo and the Teaching and Learning of Problem Solving.
ERIC Educational Resources Information Center
Swan, Karen
Unfortunately, much of the research devoted to Logo and problem solving has not supported the claim that Logo provides an environment in which children will develop problem solving skills, but the literature suggests that direct instruction and mediated Logo programming practice can result in the acquisition and transfer of certain problem solving…
A new methodology for teaching clinical reasoning skills: problem solving clinical seminars.
Struyf, E; Beullens, J; Van Damme, B; Janssen, P; Jaspaert, H
2005-06-01
In the final year of the medical curriculum of the Faculty of Medicine of the Katholieke Universiteit Leuven (Belgium), a new methodology for teaching clinical skills was introduced: Problem Solving Clinical Seminars (PSCS). Two eight-week series of 70 seminars were offered. Students prepared for the seminars in groups of five students who worked on one or more clinical cases followed by half-open questions. Additional information was collected individually. At the clinical seminar the solutions were presented and discussed, guided by a clinical teacher. A questionnaire was administered to investigate whether students perceive the new type of clinical seminars as a powerful learning environment. Students were satisfied with the new methodology. The importance of the postulated educational aspects--preparation, clinical case and the seminar--was confirmed. The preparation phase (self-study and group work) and the clinical seminar were experienced as two separate and important learning events. The implementation of the problem solving clinical seminars is considered by students to be a powerful learning environment and therefore a broader applicability of the PSCS methodology is recommended. PMID:16024422
Teaching the Use of a Problem-Solving Process to Early Childhood Educators
ERIC Educational Resources Information Center
Ostrosky, Michaelene M.; Cheatham, Gregory A.
2005-01-01
Preservice teachers and current teachers alike face daily challenges that necessitate problem-solving skills. Conducting problem solving as a part of a group of professionals and the child's family can be beneficial because it encourages the offering of many perspectives, which allows for better understanding of the problem context. However, a…
The Problem-Solving Approach in the Teaching of Number Theory
ERIC Educational Resources Information Center
Toh, Pee Choon; Leong, Yew Hoong; Toh, Tin Lam; Dindyal, Jaguthsing; Quek, Khiok Seng; Tay, Eng Guan; Ho, Foo Him
2014-01-01
Mathematical problem solving is the mainstay of the mathematics curriculum for Singapore schools. In the preparation of prospective mathematics teachers, the authors, who are mathematics teacher educators, deem it important that pre-service mathematics teachers experience non-routine problem solving and acquire an attitude that predisposes them to…
ERIC Educational Resources Information Center
Loji, K.
2012-01-01
Problem solving skills and abilities are critical in life and more specifically in the engineering field. Unfortunately, significant numbers of South African students who are accessing higher education lack problem solving skills and this results in poor academic performance jeopardizing their progress especially from first to second year. On the…
Virginia, University of
IDENTIFICATION One of the most challenging problem-solving tasks confronted by medical technologists identification is a laboratory work-up task where medical technologists must run a series of testsand analyze-system, the Transfusion Medicine Tutor (TMT), by medical technology studentsto learn an important problem-solving task
ERIC Educational Resources Information Center
Dagseven Emecen, Deniz
2011-01-01
This study was aimed at comparing the effectiveness and efficiency of direct instruction and problem solving approaches in teaching social skills to children with mental retardation. The design was adapted alternating treatment design. The subjects of the study consist of a girl and a boy between the ages of 11 and 13 who are mentally retarded. In…
ERIC Educational Resources Information Center
Okoye, Nnamdi S.; Okechukwu, Rose N.
2010-01-01
The study examined the effect of concept-mapping and problem-solving teaching strategies on achievement in biology among Nigerian secondary school students. The method used for the study was a quasi-experimental pre-test treatment design. One hundred and thirteen senior secondary three (S.S. 111) students randomly selected from three mixed…
NASA Astrophysics Data System (ADS)
Westlander, Meghan Joanne
Interactive engagement environments are critical to students' conceptual learning gains, and often the instructor is ultimately responsible for the creation of that environment in the classroom. When those instructors are graduate teaching assistants (GTAs), one of the primary ways in which they can promote interactive engagement is through their interactions with students. Much of the prior research on physics GTA-student interactions focuses on GTA training programs (e.g. Ezrailson (2004); Smith, Ward, and Rosenshein (1977)) or on GTAs' specific actions and beliefs (e.g. West, Paul, Webb, and Potter (2013); Goertzen (2010); Spike and Finkelstein (2012a)). Research on students' ideas and behaviors within and surrounding those interactions is limited but important to obtaining a more complete understanding of how GTAs promote an interactive environment. In order to begin understanding this area, I developed the Issues Framework to examine how GTA-student interactions are situated in students' processes during physics problem solving activities. Using grounded theory, the Issues Framework emerged from an analysis of the relationships between GTA-student interactions and the students procedures and expressions of physics content in and surrounding those interactions. This study is focused on introducing the Issues Framework and the insight it can provide into GTA-student interactions and students' processes. The framework is general in nature and has a visually friendly design making it a useful tool for consolidating complex data and quickly pattern-matching important pieces of a complex process. Four different categories of Issues emerged spanning the problem solving process: (1) Getting Started, (2) Solution Approach, (3) Unit Conversions, and (4) Other. The framework allowed for identification of the specific contents of the Issues in each category as well as revealing the common stories of students' processes and how the interactions were situated in those processes in each category. Through the stories, the Issues Framework revealed processes in which students often focused narrowly on procedures with the physics content expressed through their procedures and only sometimes through conceptual discussions. Interactions with the GTA affected changes in students' processes, typically leading students to correct their procedures. The interactions often focused narrowly on procedures as well but introduced conceptual discussions more often than students did surrounding the interactions. Comparing stories across GTAs instead of across categories revealed one GTA who, more often than other GTAs, used conceptual discussion and encouraged students' participation in the interactions. The Issues Framework still needs continued refinement and testing. However, it represents a significant step toward understanding GTA-student interactions from the perspective of students' processes in physics problem solving.
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)
Herkert, Joseph R
2005-07-01
Engineering ethics entails three frames of reference: individual, professional, and social. "Microethics" considers individuals and internal relations of the engineering profession; "macroethics" applies to the collective social responsibility of the profession and to societal decisions about technology. Most research and teaching in engineering ethics, including online resources, has had a "micro" focus. Mechanisms for incorporating macroethical perspectives include: integrating engineering ethics and science, technology and society (STS); closer integration of engineering ethics and computer ethics; and consideration of the influence of professional engineering societies and corporate social responsibility programs on ethical engineering practice. Integrating macroethical issues and concerns in engineering ethics involves broadening the context of ethical problem solving. This in turn implies: developing courses emphasizing both micro and macro perspectives, providing faculty development that includes training in both STS and practical ethics; and revision of curriculum materials, including online resources. Multidisciplinary collaboration is recommended 1) to create online case studies emphasizing ethical decision making in individual, professional, and societal contexts; 2) to leverage existing online computer ethics resources with relevance to engineering education and practice; and 3) to create transparent linkages between public policy positions advocated by professional societies and codes of ethics. PMID:16190278
ERIC Educational Resources Information Center
Bushman, Bryan B.; Peacock, Gretchen Gimpel
2010-01-01
Problem-solving skills training (PSST) has been proposed as a potentially effective addition to behavioral parent training (PT). However, it is not clear whether PSST specifically increases the benefits provided by PT. In this study, PT + PSST was compared to PT + nondirective therapy in a sample of 26 families. All parents received PT. Following…
Explicitly Teaching for Transfer: Effects on Third-Grade Students' Mathematical Problem Solving.
ERIC Educational Resources Information Center
Fuchs, Lynn S.; Fuchs, Douglas; Prentice, Karin; Burch, Mindy; Hamlett, Carol L.; Owen, Rhoda; Hosp, Michelle; Jancek, Deborah
2003-01-01
Assesses the effects of explicitly teaching for transfer by broadening the categories by which students group problems requiring the same solution methods and prompting students to search novel problems for these broad categories. This transfer treatment was combined with instruction on solution methods. Improvement on immediate- and near-transfer…
Goddard, Wayne
the problem Solving the rephrased problem A spectrum of generalizations Further improvements Improving Brooks Landon Rabern A prison problem Some background The Ore-degree Rephrasing the problem Solving background 3 The Ore-degree 4 Rephrasing the problem 5 Solving the rephrased problem Kierstead and Kostochka
Teaching Problem-Solving and Critical-Thinking Skills Online Using Problem-Based Learning
ERIC Educational Resources Information Center
Romero, Liz; Orzechowski, Agnes; Rahatka, Ola
2014-01-01
The availability of technological tools is promoting a shift toward more student-centered online instruction. This article describes the implementation of a Problem-Based Learning (PBL) model and the technological tools used to meet the expectations of the model as well as the needs of the students. The end product is a hybrid course with eight…
Reisslein, Martin
, such as physics and mathematics, has shown that one promising method consists of initially demonstrating of an engineering problem and uses standard engineering symbols (Alexander & Sadiku, 2004; Irwin & Nelms, 2005), such as the zig-zag symbol to represent a light bulb. In contrast, we define concrete electrical engineering
Smith, Elaine M.; Alley, Gordon R.
1981-04-01
Research Report No. 39 April, 1981 INSTITUTE FOR RESEARCH IN LEARNING DISABILITIES T~~ Umversrty of Kansas Lawrence, Kansas, 66045 Emphasis on Adolescents and Young Adults THE EFFECT OF TEACHING SIXTH GRADERS HITH LEARNING DIFFICULTIES A... STRATEGY FOR SOLVING VERBAL MATH PROBLE~S Elaine M. Smith and Gordon R. Alley The University of Kansas Institute for Research in Learning Disabilities is supported by a contract (#300-77-0494) with the Bureau of Education for the Handicapped...
Jitendra, Asha K; Petersen-Brown, Shawna; Lein, Amy E; Zaslofsky, Anne F; Kunkel, Amy K; Jung, Pyung-Gang; Egan, Andrea M
2015-01-01
This study examined the quality of the research base related to strategy instruction priming the underlying mathematical problem structure for students with learning disabilities and those at risk for mathematics difficulties. We evaluated the quality of methodological rigor of 18 group research studies using the criteria proposed by Gersten et al. and 10 single case design (SCD) research studies using criteria suggested by Horner et al. and the What Works Clearinghouse. Results indicated that 14 group design studies met the criteria for high-quality or acceptable research, whereas SCD studies did not meet the standards for an evidence-based practice. Based on these findings, strategy instruction priming the mathematics problem structure is considered an evidence-based practice using only group design methodological criteria. Implications for future research and for practice are discussed. PMID:23686999
Teaching Third Graders about Real-Life Mathematical Problem Solving: A Randomized Controlled Study
ERIC Educational Resources Information Center
Fuchs, Lynn S.; Fuchs, Douglas; Finelli, Robin; Courey, Susan J.; Hamlett, Carol L.; Sones, Estelle M.; Hope, Susan K.
2006-01-01
The purpose of this study was to assess the effects of schema-broadening instruction (SBI), with and without explicit instruction in strategies for tackling the complexities involved in real-life (RL) math problems, on the math problem solving of third-grade students. Teachers (n = 30) were assigned randomly to 3 16-week conditions: control, SBI,…
Problem Solving and Writing: A Teaching/Learning Model for Computer Studies.
ERIC Educational Resources Information Center
Tripe, Robert L. K.
In an attempt to combat the problem of poor writing and problem-solving skills among technical program graduates, Mohawk College of Applied Arts and Technology in Ontario, Canada began implementing changes in its Computer Studies curriculum. The first change was a greater focus on improving students' writing skills. Writing assignments were…
Connections and Confusion: Teaching Perimeter and Area with a Problem-Solving Oriented Unit.
ERIC Educational Resources Information Center
Rickard, Anthony
1996-01-01
Profiles a middle school mathematics teacher and examines her use of two problems from a pilot version of a 6th grade unit developed by a mathematics curriculum project. Reports that problem-solving-oriented curricula provide opportunities for students to make mathematics connections and leads to student confusion and uncertainty. Contains 35…
NSDL National Science Digital Library
Jason Justice
2008-05-01
A study was conducted to promote higher order cognitive skills (HOCS) in a chemistry class using the GOAL (Gather, Organize, Analyze, and Learn) method. Students were assigned four qualitative problems specifically designed to be solved with the method over the course of the semester outside of normal homework and testing. The problems served as a platform to encourage students to use HOCS in their Learn responses. The study focused on students' use of HOCS in these Learn responses regardless of whether HOCS were used in the actual solving of the problems or not. The results of this study suggest that consistent use of the Learn response in problem solving promotes reflection with an accompanied increase in use of HOCS by students during a semester.
Creating Problem Solving Natives
NSDL National Science Digital Library
Michelle Pauls
2013-03-04
In this blog post, the author discusses how valuable the problem-solving tool of drawing (or acting) out the problem is to help learners make sense of the problem. Within the post a story problem is presented and examples of work from students who were successful and who were not successful in solving the problem are shown. Also included is a link to an AIMS problem solving activity, "Schmoos ’n’ Goos" (cataloged separately) that is best solved by drawing a picture.
Using Logo to Develop Problem Solving Skills.
ERIC Educational Resources Information Center
Denenberg, Stewart A.
1993-01-01
Proposes using computer programing teaching problem solving. Describes the problem-solving technique of Top-Down Design, discusses its application to LOGO, and provides examples of programs using LOGO. (MDH)
ERIC Educational Resources Information Center
Buxton, Cory A.
2010-01-01
The Social Problem Solving through Science (SPSS) project engaged middle school-aged youth in the study of local environmental challenges with implications for human health and well-being, both globally and locally. Students considered environmental risk factors in a series of structured activities to develop background knowledge on environmental…
Teaching Young Children Decomposition Strategies to Solve Addition Problems: An Experimental Study
ERIC Educational Resources Information Center
Cheng, Zi-Juan
2012-01-01
The ability to count has traditionally been considered an important milestone in children's development of number sense. However, using counting (e.g., counting on, counting all) strategies to solve addition problems is not the best way for children to achieve their full mathematical potential and to prepare them to develop more complex and…
Teaching Methods for Inventive Problem-Solving in Junior High School
ERIC Educational Resources Information Center
Barak, Moshe; Mesika, Pnina
2007-01-01
Fostering pupils' competencies in inventive thinking and problem-solving has remained a rather unresolved issue in traditional schooling, mainly because many people regard creative thinking as a God-given ability, something an individual either possesses or does not possess, but can only be slightly learned or improved. The current study is aimed…
ERIC Educational Resources Information Center
Chyu, Chi-Oy W.
The Nested Spiral Approach (NSA) is an integrated instructional approach used to promote the motivated learning of mathematics problem solving in limited-English-proficient (LEP) students. The NSA is described and a trial use is discussed. The approach extends, elaborates, and supplements existing education and instruction theories to help LEP…
A Modeling Perspective on the Teaching and Learning of Mathematical Problem Solving
ERIC Educational Resources Information Center
Mousoulides, Nicholas G.; Christou, Constantinos; Sriraman, Bharath
2008-01-01
This study analyzed the processes used by students when engaged in modeling activities and examined how students' abilities to solve modeling problems changed over time. Two student populations, one experimental and one control group, participated in the study. To examine students' modeling processes, the experimental group participated in an…
NASA Astrophysics Data System (ADS)
Skolnick, Ronald
The purpose of this study was to examine the constructivist-based " case study teaching methodology" in High School Biology classes, specifically investigating the effect this methodology had on Academic Achievement, Science Attitudes, Problem Solving Skills, and Teamwork Skills. The effect of Teacher Beliefs toward constructivist learning environments was also explored and investigated, using a quantitative measure (the Constructivist Learning Environment Survey, or CLES). A quasi-experimental design used eleven classes, five teachers, and two hundred fifty two high school biology students over two separate, consecutive quarters of a school year. Two researcher-made instruments measured Academic Achievement after each study quarter. T-Tests were used to compare the Experimental Group (Case Study Teaching Methodology) to the Control Group (Traditional Teaching) during each study quarter. Otis-Lennon School Ability Test (OLSAT) scores were used as a covariate for ANCOVA tests. Case Study Teaching Methodology had a statistically significant improvement on Academic Achievement during the first study quarter, but not the second quarter. Case Study Teaching Methodology had a statistically significant improvement on four of seven Science Attitudes, Problem Solving Skills, and Teamwork Skills during the second quarter of the study. This study is significant in that it addresses a knowledge gap regarding the effects of the constructivist-based case study teaching methodology on secondary science education. The theoretical implications of this study are meaningful: empirical evidence is added to the growing knowledge base regarding the benefits of constructivist theory. The practical implications are equally meaningful: case study teaching methodology is supported as an effective application of constructivist theory in the secondary science classroom.
Bodner, George M.
2010-01-01
of the work cited above involved some facet of solving mathematical problems, there are studies JOURNAL OF RESEARCH IN SCIENCE TEACHING VOL. 47, NO. 6, PP. 643660 (2010) Non-Mathematical Problem: Differences in problem-solving ability among organic chemistry graduate students and faculty were studied
ERIC Educational Resources Information Center
Moreno, Roxana; Ozogul, Gamze; Reisslein, Martin
2011-01-01
In 3 experiments, we examined the effects of using concrete and/or abstract visual problem representations during instruction on students' problem-solving practice, near transfer, problem representations, and learning perceptions. In Experiments 1 and 2, novice students learned about electrical circuit analysis with an instructional program that…
Dunbar, Kevin N.
. (1998). Problem solving. In W. Bechtel, & G. Graham (Eds.). A companion to Cognitive Science. London the problem of having nothing to eat. While their solution to the problem did not result in a culinary feast
ERIC Educational Resources Information Center
Louange, Jemmy Emmanuel Georges
2007-01-01
This study sought to explore what sort of relationships exist between students' number sense and their problem solving ability, and the contribution of the teacher's teaching style and the students' learning style towards students' performance in these two respective areas. The problem solving ability and number sense proficiency of three classes…
Mathematics Teachers Circle around Problem Solving
ERIC Educational Resources Information Center
Fernandes, Anthony; Koehler, Jacob; Reiter, Harold
2011-01-01
Making problem solving a central part of teaching may be challenging to teachers who have limited experiences in learning and teaching mathematics in this way. Math Teachers' Circles were developed with the aim of establishing a "culture of problem solving" among middle school mathematics teachers. This culture could then be carried back into…
ERIC Educational Resources Information Center
Mayer, Richard E.
This chapter examines research on the cognitive processes involved in mathematical problem solving. The introduction includes definitions of key terms and a summary of four cognitive processes used in mathematical problem solving: (1) translating; (2) integrating; (3) planning; and (4) executing. Examples are then provided and exemplary research…
NASA Astrophysics Data System (ADS)
Singh, Chandralekha
2009-07-01
One finding of cognitive research is that people do not automatically acquire usable knowledge by spending lots of time on task. Because students' knowledge hierarchy is more fragmented, "knowledge chunks" are smaller than those of experts. The limited capacity of short term memory makes the cognitive load high during problem solving tasks, leaving few cognitive resources available for meta-cognition. The abstract nature of the laws of physics and the chain of reasoning required to draw meaningful inferences makes these issues critical. In order to help students, it is crucial to consider the difficulty of a problem from the perspective of students. We are developing and evaluating interactive problem-solving tutorials to help students in the introductory physics courses learn effective problem-solving strategies while solidifying physics concepts. The self-paced tutorials can provide guidance and support for a variety of problem solving techniques, and opportunity for knowledge and skill acquisition.
ERIC Educational Resources Information Center
O'Shea, John; Leavy, Aisling M.
2013-01-01
The primary school mathematics curriculum in Ireland is based upon a constructivist philosophy of learning. As constructivism is a theory of learning and not teaching, implementing a constructivist approach in the classroom requires teachers to identify the implications and applications of constructivist philosophy for teaching. In this research,…
ERIC Educational Resources Information Center
Fuchs, Lynn S.; Fuchs, Douglas; Hamlett, Carol L.; Appleton, Amanda C.
2002-01-01
A small-group mathematical problem-solving tutorial treatment with explicit instruction including transfer to novel problems was evaluated with 40 students. On word problems and transfer word problems, tutoring effected reliably stronger growth, although effects on real-world problem solving, while moderate to large, were not statistically…
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…
Mathematics as Problem Solving.
ERIC Educational Resources Information Center
Soifer, Alexander
This book contains about 200 problems. It is suggested that it be used by students, teachers or anyone interested in exploring mathematics. In addition to a general discussion on problem solving, there are problems concerned with number theory, algebra, geometry, and combinatorics. (PK)
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…
ERIC Educational Resources Information Center
Carpenter, Thomas P.; And Others
1980-01-01
Student weaknesses on problem-solving portions of the NAEP mathematics assessment are discussed using Polya's heuristics as a framework. Recommendations for classroom instruction are discussed. (MP) Aspect of National Assessment (NAEP) dealt with in this document: Results (Interpretation).
NSDL National Science Digital Library
kajigga
2009-09-23
Learn some basic math skills while at the same time learning some programming skills This short lesson focuses on solving simple math problem using computer programming. In this case, the examples given will be in Python (click on this link for more information: Official Tutorial for the Python programming language.). Computer programming can and has often been used to solve very complex mathematical problems along the lines of calculating ? ...
Learning ProblemSolving Concepts by Reflecting on Problem Solving
Goel, Ashok
Learning ProblemSolving Concepts by Reflecting on Problem Solving Eleni Stroulia and Ashok K. Goel Learning and problem solving are intimately related: problem solving determines the knowledge requirements of the reasoner which learning must fulfill, and learning enables improved problemsolving performance. Different
ERIC Educational Resources Information Center
Andrews, Paul; Xenofontos, Constantinos
2015-01-01
In this article, we analyse the problem-solving-related beliefs, competence and classroom practice of three Cypriot upper-primary teachers. Data derived from semi-structured interviews focused on teachers' beliefs about the nature of mathematical problems, problem-solving, and their competence as both problem-solvers and teachers of…
Solving the problem of writing.
Ferguson, D
1995-04-01
This paper explores the difficulties which some students appear to encounter with written work and recommends the teaching of a problem-solving approach. Exploration of the skills necessary for writing, e.g. language skills and memory functions, highlights the structured format of cognitive processes. Most study skill packages emphasise the need for planning and organising work. It may be that students require more detailed help and guidance in such skills. This paper promotes the teaching to students of a problem-solving approach to written work. We all solve problems every day, many we are completely unaware of. This approach seeks to harness these transferable skills and utilise them in a new area. It can be applied at a macro and at a micro level, i.e. the entire essay/project/report may be planned utilising this approach and then each section or paragraph further planned in the same manner. The use of a mnemonic further aids the student in developing and applying the problem solving approach to written work. PMID:7731439
ERIC Educational Resources Information Center
Martinez, Michael E.
1998-01-01
Many important human activities involve accomplishing goals without a script. There is no formula for true problem-solving. Heuristic, cognitive "rules of thumb" are the problem-solver's best guide. Learners should understand heuristic tools such as means-end analysis, working backwards, successive approximation, and external representation. Since…
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…
NASA Technical Reports Server (NTRS)
1992-01-01
CBR Express software solves problems by adapting sorted solutions to new problems specified by a user. It is applicable to a wide range of situations. The technology was originally developed by Inference Corporation for Johnson Space Center's Advanced Software Development Workstation. The project focused on the reuse of software designs, and Inference used CBR as part of the ACCESS prototype software. The commercial CBR Express is used as a "help desk" for customer support, enabling reuse of existing information when necessary. It has been adopted by several companies, among them American Airlines, which uses it to solve reservation system software problems.
Style, Alec
1979-01-01
General practitioners use the hypothetico-deductive method of scientific reasoning to solve problems. In the first few minutes of their consultations physicians form initial hypotheses about their patients' problems. This process has childlike, imaginative qualities based on intuition. It is often outside consciousness and probably based on pattern recognition. It has been neglected from study and analysis because of these `mystical' qualities. Yet it is the key to fast and efficient problem solving. If the process could be understood, its efficiency would be improved. This paper is an attempt to explore the nature of general practitioners' intuition. PMID:480297
Computer Aided Instruction and Problem Solving in the Teaching of Oral Diagnosis.
ERIC Educational Resources Information Center
Spencer, Judson; Gobetti, John P.
A computer-assisted instructional (CAI) program is being used at the University of Michigan School of Dentistry to aid in the teaching of oral diagnosis to dental students. The program is designed to simulate a real life situation--i.e., the diagnosis of patient illness-which would not be otherwise available to the student and to demonstrate to…
Amer Diwan; William M. Waite; Michele H. Jackson
2002-01-01
In industry, programmers work in groups to design and implement substantial pieces of software. In contrast, most programs that students write in classes are toy programs involving little or no group work. To address this discrepancy, we have developed a software infrastructure that aims to teach group work skills to students in computer science courses and also enables students to
ERIC Educational Resources Information Center
Kilpatrick, Jeremy, Ed.; Wirszup, Izaak, Ed.
The series is a collection of translations from the Soviet literature of the past 25 years on research in the psychology of mathematical instruction and the related methods of teaching mathematics. The aim of the series is to acquaint educators and teachers with directions, ideas, and accomplishments in the psychology of mathematical instruction…
ERIC Educational Resources Information Center
Mathematics in School, 1984
1984-01-01
Discusses the development of problem-oriented mathematics materials for a wide variety of students. Materials include teaching guides, student materials, case studies in mathematical modeling, and project activities. Examples of these materials (including a sports-related activity for students who have not had success in mathematics) are provided.…
Persistence in Problem Solving
NSDL National Science Digital Library
2012-01-01
In this 5-minute video third grade teacher Jean Saul demonstrates how she uses problem solving tasks to create a classroom climate that fosters persistence, independence, responsibility, and risk-taking. Students are asked to find three different methods for solving each problem and to record them on a Choose Three Ways graphic organizer. Through collaboration and presentation of their work to peers, students develop math language and discourse skills. A side bar provides reflection questions. Supporting materials include a transcript of the video (doc), the graphic organizer (doc), and two samples of student work (pdf).
Problem-Solving and EAP: Themes and Issues in a Collaborative Teaching Venture.
ERIC Educational Resources Information Center
Barron, Colin
2003-01-01
Investigates two issues that are important to English for academic purposes: (1) the issue of collaboration between subject teachers and English for academic purposes teachers and the problem of reconciling what appear to be incommensurable discourses, and (2) the difference between task-based learning and problem-based learning. (VWL)
An Alternate Path To Stoichiometric Problem Solving.
ERIC Educational Resources Information Center
Schmidt, Hans-Jurgen
1997-01-01
Discusses an alternate path to teaching introductory stoichiometry based on research findings. The recommendation is to use problems that can be solved easily by rapid mental calculation as well as by pure logic. (AIM)
Solving Problems through Circles
ERIC Educational Resources Information Center
Grahamslaw, Laura; Henson, Lisa H.
2015-01-01
Several problem-solving interventions that utilise a "circle" approach have been applied within the field of educational psychology, for example, Circle Time, Circle of Friends, Sharing Circles, Circle of Adults and Solution Circles. This research explored two interventions, Solution Circles and Circle of Adults, and used thematic…
Solving problems with technology
California at Santa Barbara, University of
to be, plan and prepare. Work Hard and achieve your dreams! #12;Thanks! Vero & Saiph #12;Solving problems with technology: Computer Science! by: Saiph and Veronika #12;What is Computer Science? What makes a good computer scientist? #12;Why Computer Science? To Change the World! Empower
Solving Common Mathematical Problems
NASA Technical Reports Server (NTRS)
Luz, Paul L.
2005-01-01
Mathematical Solutions Toolset is a collection of five software programs that rapidly solve some common mathematical problems. The programs consist of a set of Microsoft Excel worksheets. The programs provide for entry of input data and display of output data in a user-friendly, menu-driven format, and for automatic execution once the input data has been entered.
Circumference and Problem Solving.
ERIC Educational Resources Information Center
Blackburn, Katie; White, David
The concept of pi is one of great importance to all developed civilization and one that can be explored and mastered by elementary students through an inductive and problem-solving approach. Such an approach is outlined and discussed. The approach involves the following biblical quotation: "And he made a moltin sea ten cubits from one brim to the…
NSDL National Science Digital Library
Office of Educational Partnerships,
The culminating energy project is introduced and the technical problem solving process is applied to get students started on the project. By the end of the class, students should have a good perspective on what they have already learned and what they still need to learn to complete the project.
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…
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…
How To Evaluate Progress in Problem Solving.
ERIC Educational Resources Information Center
Charles, Randall; And Others
With the increased emphasis on teaching problem solving in mathematics has come the challenge of developing new techniques for evaluating the effectiveness of such instruction. This booklet is an attempt to provide teachers with ways to give credit for a good problem solving strategy, and yet deduct for an incorrect answer. The document provides…
ERIC Educational Resources Information Center
Antonenko, Pavlo D.; Jahanzad, Farzaneh; Greenwood, Carmen
2014-01-01
Collaborative problem solving is an essential component of any 21st century science career. Scientists are hired, retained, and promoted for solving problems in dynamic and interdisciplinary teams. They discuss issues, explain and justify their opinions, debate, elaborate, and reflect on their collective knowledge. At the same time, both…
Minnesota, University of
materials and instructional strategies that have been shown to be effective in improving student problem is that these curricular materials and instructional strategies do not align with the ways that faculty think about conceptions. The interview was designed around three types of concrete instructional artifacts (3 instructor
A Comparison of How Textbooks Teach Mathematical Problem Solving in Japan and the United States.
ERIC Educational Resources Information Center
Mayer, Richard E.; And Others
1995-01-01
This brief report compares the lessons on addition and subtraction of signed whole numbers in three seventh-grade Japanese mathematics texts and four U.S. mathematics texts. Japanese books contained many more worked-out examples and relevant illustrations, while U.S. books had more irrelevant illustrations and unsolved problems. (SLD)
Problem Solving through Aviation
NSDL National Science Digital Library
Bryant, Joyce
A unit that focuses on problem solving through real life situations that involveaviation. In spite of a variety of shapes and sizes all airplanes fly in the same way, and the problems of the aviation industry are basically the same. Some of the problems in this unit deal with the tests that have already been in the United States by the National Aeronautics and Space Administration, the Federal Aviation Agency, and the Department of Defense in order to ensure safety, convenience, and efficiency in aviation.
NSDL National Science Digital Library
Integrated Teaching and Learning Program,
Students apply what they have learned about the engineering design process to a real-life problem that affects them and/or their school. They chose a problem as a group, and then follow the engineering design process to come up with and test their design solution. This activity teaches students how to use the engineering design process while improving something in the school environment that matters to them. By performing each step of the design process, students can experience what it is like to be an engineer.
S. E. Powers
2001-01-01
An NSF-funded project-based program was implemented by Clarkson University in 2000 to increase the interest and knowledge of middle school students in science, math and technology through the solution of an environmental problem that is relevant to their local school community. Clarkson students developed curricula for 7th and 8th grade science and technology classes and then worked with the middle
Susan E. Powers
An NSF-funded project-based program was implemented by Clarkson University in 2000 to increase the interest and knowledge of middle school students in science, math and technology through the solution of an environmental problem that is relevant to their local school community. Clarkson students developed curricula for 7th and 8 th grade science and technology classes and then worked with the
Miller, A.
1999-06-01
Human influences create both environmental problems and barriers to effective policy aimed at addressing those problems. In effect, environmental managers manage people as much as they manage the environment. Therefore, they must gain an understanding of the psychological and sociopolitical dimensions of environmental problems that they are attempting to resolve. The author reappraises conventional analyses of environmental problems using lessons from the psychosocial disciplines. The author combines the disciplines of ecology, political sociology and psychology to produce a more adaptive approach to problem-solving that is specifically geared toward the environmental field. Numerous case studies demonstrate the practical application of theory in a way that is useful to technical and scientific professionals as well as to policymakers and planners.
1 Polya's Four Phases of Problem Solving 2 2 Some of my Informal Thoughts on Teaching 4
Lee, Carl
? 2. Devising a Plan. Find the connection between the data and the unknown. You may be obliged some auxiliary element in order to make its use possible? Could you restate the problem? Could you Polya called How to Solve it. 1. Understanding the Problem. You have to understand the problem. What
NSDL National Science Digital Library
Integrated Teaching and Learning Program,
Student teams follow the steps of the engineering design process to meet the challenge of getting their entire class from one location on the playground to the sidewalk without touching the ground between. The class develops a well thought-out plan while following the steps of the engineering design process. Then, they test their solution by going outside and trying it out. Through the post-activity assessment, they compare their problem-solving experience to real life engineering challenges, such as creating new forms of transportation or new product invention.
Genetics problem solving and worldview
NASA Astrophysics Data System (ADS)
Dale, Esther
The research goal was to determine whether worldview relates to traditional and real-world genetics problem solving. Traditionally, scientific literacy emphasized content knowledge alone because it was sufficient to solve traditional problems. The contemporary definition of scientific literacy is, "The knowledge and understanding of scientific concepts and processes required for personal decision-making, participation in civic and cultural affairs and economic productivity" (NRC, 1996). An expanded definition of scientific literacy is needed to solve socioscientific issues (SSI), complex social issues with conceptual, procedural, or technological associations with science. Teaching content knowledge alone assumes that students will find the scientific explanation of a phenomenon to be superior to a non-science explanation. Formal science and everyday ways of thinking about science are two different cultures (Palmer, 1999). Students address this rift with cognitive apartheid, the boxing away of science knowledge from other types of knowledge (Jedege & Aikenhead, 1999). By addressing worldview, cognitive apartheid may decrease and scientific literacy may increase. Introductory biology students at the University of Minnesota during fall semester 2005 completed a written questionnaire-including a genetics content-knowledge test, four genetic dilemmas, the Worldview Assessment Instrument (WAI) and some items about demographics and religiosity. Six students responded to the interview protocol. Based on statistical analysis and interview data, this study concluded the following: (1) Worldview, in the form of metaphysics, relates to solving traditional genetic dilemmas. (2) Worldview, in the form of agency, relates to solving traditional genetics problems. (3) Thus, worldview must be addressed in curriculum, instruction, and assessment.
Modeling applied to problem solving
Pawl, Andrew
We describe a modeling approach to help students learn expert problem solving. Models are used to present and hierarchically organize the syllabus content and apply it to problem solving, but students do not develop and ...
Problem-Solving Workshop Training.
ERIC Educational Resources Information Center
Dixon, David N.; And Others
1979-01-01
Assessed effects of intensive problem-solving training on outcomes related to counseling. Undergraduates participated in problem-solving workshop. Results indicated that training influenced the quality of response, but training did not increase the number of subjects' alternatives. (Author)
ERIC Educational Resources Information Center
Bebout, Harriett C.; And Others
This manual is used with MATHBOXES, a computer program written for Apple II microcomputers to help children relate formal mathematical symbols for representing simple word problems to the informal strategies using physical objects that they naturally use to solve them. There is a substantial body of research that documents that young children are…
Problem Solving and Beginning Programming.
ERIC Educational Resources Information Center
McAllister, Alan
Based on current models of problem solving within cognitive psychology, this study focused on the spontaneous problem solving strategies used by children as they first learned LOGO computer programming, and on strategy transformations that took place during the problem solving process. The research consisted of a six weeks programming training…
Statistical Education Through Problem Solving
NSDL National Science Digital Library
Statistical Education Through Problem Solving (STEPS) was a collaborative project between seven universities throughout the United Kingdom "to develop problem-based teaching and learning materials for statistics." The materials draw on specific problems arising in Biology, Business, Geography and Psychology to help students learn that statistical issues are "important natural parts of the process of reaching conclusions." The software developed as a result of this project, which utilizes the computer and graphical illustration to support learning, is available to educational institutions free of charge and can be downloaded from this website. (Note that other organizations are expected to purchase the software.) A glossary of statistical terms is provided in the software program as well as on this website. Although the funding for the project ended in 1995 and the website was last updated in January 2004, the material is still current and useful for teaching statistics. The authors note that the STEPS modules are intended to be used to support existing coursework, and "not intended to replace lecturing staff or to provide a self-study course in statistics."
ERIC Educational Resources Information Center
Diamond, Nina; Koernig, Stephen K.; Iqbal, Zafar
2008-01-01
This article describes an innovative strategic tools course designed to enhance the problem-solving skills of marketing majors. The course serves as a means of preparing students to capitalize on opportunities afforded by a case-based capstone course and to better meet the needs and expectations of prospective employers. The course format utilizes…
PUTNAM PROBLEM-SOLVING SEMINAR WEEK 7: PROBLEMS PROBLEMS PROBLEMS
Vakil, Ravi
PUTNAM PROBLEM-SOLVING SEMINAR WEEK 7: PROBLEMS PROBLEMS PROBLEMS The Rules. These are way too many of a little algebra. Sleep on it if need be. Ask. Things to remember for the Putnam. What to bring: You should. Â· If you solve a problem, write it up very well (rather than starting a new problem). Grading on the Putnam
Representations in Problem Solving: A Case Study with Optimization Problems
ERIC Educational Resources Information Center
Villegas, Jose L.; Castro, Enrique; Gutierrez, Jose
2009-01-01
Introduction: Representations play an essential role in mathematical thinking. They favor the understanding of mathematical concepts and stimulate the development of flexible and versatile thinking in problem solving. Here our focus is on their use in optimization problems, a type of problem considered important in mathematics teaching and…
(George Plya) problem solving1963...
Siu, M.K.
Press. Fung, C.I. (2004). How history fuels teaching for mathematising: Some personal reflections the problem is not the question and the solution is not the answer: Mathematical knowing and teaching teaching, American Mathematical Monthly, 70, 605-619. Robson, E. (2001). Neither Sherlock Holmes nor
Problem Solving in the Professions.
ERIC Educational Resources Information Center
Jackling, Noel; And Others
1990-01-01
It is proposed that algorithms and heuristics are useful in improving professional problem-solving abilities when contextualized within the academic discipline. A basic algorithm applied to problem solving in undergraduate engineering education and a similar algorithm applicable to legal problems are used as examples. Problem complexity and…
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…
Resource Scarcity: Problems Technology Cannot Solve; Problems Technology Can Solve.
ERIC Educational Resources Information Center
Meadows, Dennis; Castle, Emery N.
1979-01-01
Lists resource problems technology can and cannot solve, and emphasizes the need for considering and restructuring the social environments and institutions as well as developing new technologies. (CK)
Problem Solving Framework Read the problem carefully.
Minnesota, University of
Problem Solving Framework Read the problem carefully. Draw a useful picture (sketch) that shows how identified in Step 1. 1. Understand the Problem 2. Analyze the Problem 3. Construct a Solution Apply constraint equations) to eliminate the unwanted unknowns? Use math (algebra/calculus) to solve for target
Creating Expert Problem Solving Systems
David W. Eccles; Paul T. Groth
2005-01-01
This paper describes how human-technology interaction in modern ambient technology environments can be best informed by conceptualizing of such environments as problem solving systems. Typically, such systems comprise multiple human and technological agents that meet the demands imposed by problem constraints through dynamic collaboration. A key assertion is that the design of expert problem solving systems can benefit from an
Algorithms and Problem Solving Introduction
Razak, Saquib
Unit 16 1 Algorithms and Problem Solving · Introduction · What is an Algorithm? · Algorithm Properties · Example · Exercises #12;Unit 16 2 What is an Algorithm? What is an Algorithm? · An algorithm. · The algorithm must be general, that is, it should solve the problem for all possible input sets to the problem
Gowers, P
1984-02-01
Some of the key factors that contribute to an effective immunization program are reviewed, focusing on organization (the cold chain, vaccines, injection equipment, and training) and management. The 3 steps of the organization phase are: to examine the objectives of the plan and the population served, determining what is needed, looking for underserved areas, and calculating the number of immunizations to be given; to determine one 's resources, paying particular attention to transport, referigerators, deep freezes, and infection and sterilization equipment; and to identify what tasks must be performed to achieve program ojectives, realizing that the main areas of concern are the system which ensure that staff have done what is necessary to do the job properly. Organization of the cold chain involves ordering replacements, spare parts, fuel supplies, installation, and monitoring. I for vaccines, different vaccines have different storage requirements, and checklists on correct storage procedures are necessary for each vaccine. The person responsible for storage must also sign for all arriving vaccine and enter it into the stocks. Finally, forms are needed to record vaccine used and individuals immunized. The forms should be simple to use. In terms of injection equipment, it must be determined what is needed, and attention must be paid to the system of ordering, receipt, and storage of equipment. Training should be carried out by supervisors, and the method should be based on teaching the tasks. Regarding management, the District Medical Officer most likely will have overall responsibility. At the community level, shared management, where everyone takes some responsibility and which therefore leads to decisions everyone understands may be best. 1 way to achieve this is to have the staff of each immunization unit meet together as a team, encouraging them to identify and resolve local problems locally. The immunization program requires special supervision because of the different components involved. Someone should be trained as a supervisor and visit several units once every 6 weeks or so to look at the quality of the tasks being performed. By monitoring the process rather than simply the work done, the supervisor should be able to help and support the staff in their work. PMID:12268038
Problem Solving Style, Creative Thinking, and Problem Solving Confidence
ERIC Educational Resources Information Center
Houtz, John C.; Selby, Edwin C.
2009-01-01
Forty-two undergraduate and graduate students completed VIEW: An Assessment of Problem Solving Style, the non-verbal Torrance Test Thinking Creatively with Pictures, and the Problem Solving Inventory (PSI). VIEW assesses individuals' orientation to change, manner of processing, and ways of deciding, while the Torrance test measures several…
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…
Problem Solving in Biology: A Methodology
NSDL National Science Digital Library
Gary Wisehart
2008-03-01
A methodology is described that teaches science process by combining informal logic and a heuristic for rating factual reliability. This system facilitates student hypothesis formation, testing, and evaluation of results. After problem solving with this scheme, students are asked to examine and evaluate arguments for the underlying principles of biology, and apply them to new sets of facts.
Abortion: A Problem-Solving Approach
ERIC Educational Resources Information Center
Campbell, Lloyd P.
1977-01-01
The purpose of this article is to use the vehicle of a controversial issue--abortion--as a means of illustrating the advantages of teaching such issues through a problem-solving method. Discussion ideas and resources are presented. (Author/JR)
The Development, Implementation, and Evaluation of a Problem Solving Heuristic
ERIC Educational Resources Information Center
Lorenzo, Mercedes
2005-01-01
Problem-solving is one of the main goals in science teaching and is something many students find difficult. This research reports on the development, implementation and evaluation of a problem-solving heuristic. This heuristic intends to help students to understand the steps involved in problem solving (metacognitive tool), and to provide them…
Contextual Problem Solving Model Origination
ERIC Educational Resources Information Center
Ernst, Jeremy V.
2009-01-01
Problem solving has become a central focus of instructional activity in technology education classrooms at all levels (Boser, 1993). Impact assessment considerations incorporating society, culture, and economics are factors that require high-level deliberation involving critical thinking and the implementation of problem solving strategy. The…
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)
ERIC Educational Resources Information Center
Olowa, O. W.
2009-01-01
The approach used by teachers is very important to the success of the teaching process. This is why this study seeks to determine which teaching approaches--problem solving and subject-matter, would best improve the problem solving ability of selected secondary agricultural education students in Ikorodu Local Government Area. Ten classes and 150…
ERIC Educational Resources Information Center
Roesch, Frank; Nerb, Josef; Riess, Werner
2015-01-01
Our study investigated whether problem-oriented designed ecology lessons with phases of direct instruction and of open experimentation foster the development of cross-domain and domain-specific components of "experimental problem-solving ability" better than conventional lessons in science. We used a paper-and-pencil test to assess…
Wolff-Michael Roth
\\u000a In this Part III, I take a closer look at learning science in an open-inquiry laboratory environment. I particularly focus\\u000a on various aspects of students’ framing of problems and solution finding. That is, we follow students who were faced not with\\u000a preframed problems, but who were in a situation where they had to construct their own problems as well as
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…
Problem Solving 1 Polya's Four Phases of Problem Solving
Lee, Carl
? 2. Devising a Plan. Find the connection between the data and the unknown. You may be obliged some auxiliary element in order to make its use possible? Could you restate the problem? Could you by George Polya called How to Solve It. 1. Understanding the Problem. You have to understand the problem
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.
Solving the Bargaining Problem
Schellenberg, James A.
1990-01-01
problem (in particular, those of Nash, Kalai and Smorodinsky, and Felsenthal and Diskin) are briefly reviewed, and three experiments are described which seek a comparative test of these models. Experimental results fail to provide clear support for any...
Algebra Through Problem Solving
NSDL National Science Digital Library
Hillman, Alexanderson
A non-traditional Algebra text (high school and early college levels) placed on the Web by the Science Education Team at Los Alamos National Laboratory. Browse it on the Web or download a PDF version. Chapter headings include: The Pascal Triangle; The Fibonacci and Lucas Numbers; Factorials; Arithmetic and Geometric Progressions; Mathematical Induction; The Binomial Theorem; Combinations and Permutations; Polynomial Equations; Determinants; and Inequalities. Problems (and answers to the odd-numbered problems) are provided for each section.
NASA Astrophysics Data System (ADS)
Foster, Thomas Michael
Successful learning of introductory college physics requires students to acquire not only the content knowledge of physics, but also the skills to solve problems using this knowledge. In the physics department at the University of Minnesota, this duality is understood and attempts are being made to teach successfully. One such attempt has an instructor explicitly teaching a problem-solving strategy that emphasizes the qualitative analysis of a problem before the manipulation of equations. This class provides a unique case for examining the development of problem-solving skills. However, since there has been no similar study conducted on a class were an explicit problem-solving strategy was not taught, it was necessary to examine another, more traditionally taught class. This interpretive case study will examine the development of the problem solving ability of students in two college introductory physics courses where cooperative-group problem solving was used. In one class there was an explicit problem-solving strategy used. In the other class, no additional attempt was made to teach problem solving. The primary data used is the student's exam solutions. Student's solutions to exam problems provide valuable insights into the students understanding of physics. These solutions were analyzed using a coding rubric developed from the extensive research literature on problem solving. The coding rubric examined four skills: General Approach, Specific Application of the Physics, Logical Progression, and Appropriate Mathematics. From the codes, the development of the students' problem solving skills was examined. The results of the study were skewed slightly by the students in the more traditionally taught course who had average grades higher than their peers. This was not a problem in the course where an explicit problem-solving strategy was taught. In general, the students in the course who were taught an explicit problem-solving strategy tended to develop their skills faster, but did not score any higher than the students in the more traditionally taught course by the end of the year. However, the students in the explicit problem-solving course consistently performed better on the multiple choice concept tests given during the year. Implications for further research and instruction are also discussed.
Sergio Rojas
2011-11-14
The large number of published articles in physics journals under the title "Comments on ..." and "Reply to ..." is indicative that the conceptual understanding of physical phenomena is very elusive and hard to grasp even to experts, but it has not stopped the development of Physics. In fact, from the history of the development of Physics one quickly becomes aware that, regardless of the state of conceptual understanding, without quantitative reasoning Physics would have not reached the state of development it has today. Correspondingly, quantitative reasoning and problem solving skills are a desirable outcomes from the process of teaching and learning of physics. Thus, supported by results from published research, we will show evidence that a well structured problem solving strategy taught as a dynamical process offers a feasible way for students to learn physics quantitatively and conceptually, while helping them to reach the state of an Adaptive Expert highly skillful on innovation and efficiency, a desired outcome from the perspective of a Preparation for Future Learning approach of the process of teaching and learning Physics effectively.
Transformation Problem Solving Abilities.
ERIC Educational Resources Information Center
Harmel, Sarah Jane
The relationship between transformation problem performance and Guilford Structure of Intellect (SI) abilities is explored. During two group sessions 42 females and 35 males, age 18-39, were administered 12 Guilford SI tests exemplifying all five symbolic content (numeric) operations, and three contents in the divergent production area. Logical…
ERIC Educational Resources Information Center
Allen, Denise
1995-01-01
Reviews several student-tested computer software programs for math instruction: Gameco's "Word Problem Square-Off"; "MathKeys" by MECC and Houghton-Mifflin; Davidson and Associates'"The Cruncher"; and Sunburst Communications'"Exploring Mathematics with Technology: Number and Operation Sense." (HTH)
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.
Metaheuristics: Intelligent Problem Solving
Marco Caserta; Stefan Voß
\\u000a Metaheuristics support managers in decision making with robust tools providing high quality solutions to important problems\\u000a in business, engineering, economics and science in reasonable time horizons. While finding exact solutions in these applications\\u000a still poses a real challenge despite the impact of recent advances in computer technology and the great interactions between\\u000a computer science, management science\\/operations research and mathematics, (meta-)
Problem solving: Waking and dreaming
Rosalind D. Cartwright
1974-01-01
Investigated whether problem-solving ability is either quantitatively or qualitatively superior following an interval of sleep including dreaming than it is following an equal interval of waking time. 24 college students were tested on matched problems before and after these 2 conditions on 3 problem types: crossword puzzles, Remote Associates Test, and Thematic Apperception Test story completions. These were predicted to
Problem Solving with General Semantics.
ERIC Educational Resources Information Center
Hewson, David
1996-01-01
Discusses how to use general semantics formulations to improve problem solving at home or at work--methods come from the areas of artificial intelligence/computer science, engineering, operations research, and psychology. (PA)
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.
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.
ERIC Educational Resources Information Center
Kloosterman, Peter; And Others
The "Preparing Elementary Teachers to Teach Mathematics (PETTM) Project" (1988-1991) was a cooperative university/school effort to improve the teaching of mathematics by elementary teachers with its primary focus on improving the university training of preservice teachers (PSTs) in mathematics. This document, the last of the project's 5-volume…
Improving Mathematical Problem Solving Skills: The Journey to Success
ERIC Educational Resources Information Center
Rousseau, Donna
2009-01-01
The purpose of this study was to determine if problem solving skills can be improved through the use of an interdisciplinary program incorporating reading, music, and mathematics. The study was conducted in seven fifth grade classrooms, and addresses the need to teach problem solving strategies in elementary school and the importance of problem…
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,…
Handbook for Community Problem Solving.
ERIC Educational Resources Information Center
Kuhn, Sara E.; Rossing, Boyd E.
This handbook is a practical guide that can be used by an individual, group, or group leader in planning an active role in community development. Major topics covered are organizing the group; purpose and structure of your organization; how to identify the problem; planning an active program to solve a community problem; planning a large meeting…
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…
Sex Differences in Problem Solving.
ERIC Educational Resources Information Center
Johnson, Edward S.
1984-01-01
Nine experiments were performed to verify and extend studies on sex differences in problem solving conducted in the 1950s by Sweeney, Carey, Milton, Nakamura, and Berry. A 20-item problem set was administered to over 1,000 college students. Results indicated a male advantage, averaging 35 percent, virtually identical with 1950s results. (Author/BS)
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.
Encouraging Meaningful Quantitative Problem Solving
NASA Astrophysics Data System (ADS)
Cohen, Jeff; Kennedy-Justice, Meghan; Pai, Sunny; Torres, Carmen; Toomey, Rick; Depierro, Ed; Garafalo, Fred
2000-09-01
Quantitative problem-solving is a challenging aspect of any physical science course. Traditionally, students have been encouraged to pursue various techniques in an effort to provide structure to this task. While such methods may help students to generate numerical answers, they can become exercises in symbol manipulation that leave the student without a clear picture of the physical situation associated with the problem. This paper describes the efforts of a group of teachers to help college freshman chemistry students and high school science students to improve their problem-solving skills. The presentation includes several sets of questions intended to elucidate ideas and to involve the reader in the process of reflecting upon his or her own problem-solving strategies.
Building Confidence through Problem Solving
NSDL National Science Digital Library
2012-01-01
This 14-minute video demonstrates how students learn to persevere through challenging number puzzles and games. Headteacher Kate Frood discusses her philosophy and models teaching children to use core multiplication facts as tools for more complex problems. She differentiates tasks to accommodate advanced and struggling learners.
Colorado Assessment of Problem Solving (CAPS) -- Identifying student's problem solving skills
NASA Astrophysics Data System (ADS)
Adams, Wendy; Wieman, Carl
2009-05-01
Problem solving is central to any physics curriculum and physics educators have put extensive effort into understanding successful problem solving; however, 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 CAPS removes the requirement that the student already have a grasp of physics concepts. CAPS has been developed and validated at Colorado and measures a person's competence in 44 separate skills that are used when solving a wide range of in-depth problems including classical mechanics and quantum mechanics problems. Understanding the specific processes that impact how a person solves a problem identifies which components are specific to physics and those that transfer across discipline, and provides insight for improved methods for teaching. 1. Supported in part by funding from National Science Foundation
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,…
Problem Solving in Math Class: "Word Problems" Were Never Like This.
ERIC Educational Resources Information Center
Weidemann, Wanda
1995-01-01
States that problem-solving skills receive inadequate attention in many mathematics classrooms, and that preservice teacher-education programs can address the lack of instruction in problem solving. Provides rationale for teaching problem solving in the middle grades as an alternative to textbook exercises and worksheets and as a means of…
ERIC Educational Resources Information Center
Johnson, Anthony; Kimball, Robert; Melendez, Barbra; Myers, Lem; Rhea, Karen; Travis, Betty
2009-01-01
This article views all educational approaches as either traditional (teacher-centered) or non-traditional (learner-centered), with not much emphasis placed on differentiating between the non-traditional models. The purpose of this paper is to describe the impediments to changing one's approach to teaching and some strategies to overcome those…
ERIC Educational Resources Information Center
Paratore, Jeanne R. Ed.; McCormack, Rachel L. Ed.; Block, Cathy, Collins Ed.
2007-01-01
Showcasing assessment practices that can help teachers plan effective instruction, this book addresses the real-world complexities of teaching literacy in grades K-8. Leading contributors present trustworthy approaches that examine learning processes as well as learning products, that yield information on how the learning environment can be…
ERIC Educational Resources Information Center
Stone, Douglas E.
This latest in a series of studies (of conditions which support creative problemsolving activity of gifted children) attempted to assess the immediate impact of an inservice training program to promote inductive and nondirective teaching behaviors. Subjects were 160 teachers (124 who participated in the training program and 36 constituting a…
ERIC Educational Resources Information Center
Yerushalmi, E.; Henderson, C.; Heller, K.; Heller, P.; Kuo, V.
2007-01-01
In higher education, instructors' choices of both curricular material and pedagogy are determined by their beliefs about learning and teaching, the values of their profession, and perceived external constraints. Dissemination of research-based educational reforms is based on assumptions about that mental structure. This study reports the initial…
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.
Quantum Computing: Solving Complex Problems
DiVincenzo, David [IBM Watson Research Center
2007-04-12
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.
Quantum Computing: Solving Complex Problems
DiVincenzo, David (IBM Watson Research Center) [IBM Watson Research Center
2007-04-11
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.
Air PSE (Problem Solving Environment)
Nizkorodov, Sergey
PSE - 1 Air PSE (Problem Solving Environment) MODELLING OF AIR POLLUTION IN THE LOS ANGELES BASIN WITH AIR PSE Developed by Prof. Donald Dabdub Computational Environmental Sciences Laboratory Mechanical COMPUTER MODELS An air pollution model is a computer program that computes how the different chemical
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,…
Problem Solving Variations in an Online Programming Course
ERIC Educational Resources Information Center
Ebrahimi, Alireza
2007-01-01
An observation on teaching introductory programming courses on SLN for a period of two terms led me to believe that online students try various ways to solve a problem. In the beginning, I got the impression that some of their approaches for a solution were wrong; but after a little investigation, I found that some of the problem-solving…
The Role of Problem Solving in Complex Intraverbal Repertoires
ERIC Educational Resources Information Center
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/Decision Making for Social and Academic Success.
ERIC Educational Resources Information Center
Elias, Maurice J.; Tobias, Steven E.
Based on the premise that systematic instruction in social decision-making and problem-solving skills is a developmental right of all children, this book provides an in-service training program for teaching a set of social decision-making and problem-solving steps that are essential for success in school, in the family, with friends, in the world…
ERIC Educational Resources Information Center
Barak, Moshe
2013-01-01
This paper presents the outcomes of teaching an inventive problem-solving course in junior high schools in an attempt to deal with the current relative neglect of fostering students' creativity and problem-solving capabilities in traditional schooling. The method involves carrying out systematic manipulation with attributes, functions and…
Using Counterintuitive Problems in Teaching Physics
Campanario, Juan Miguel
;fscampanario@alcala.es 1n the teaching and leaming of science, problem-solv- ing exercises are part of the canon proposcs solving problems as if they werc small research projects, disrcgarding the use of numerial values extrapolate the task and ask the'students to measure Earth's circumference with, understandably, a longer
ERIC Educational Resources Information Center
Del Favero, Laura; Boscolo, Pietro; Vidotto, Giulio; Vicentini, Marco
2007-01-01
In this study, 100 Italian eighth graders were divided into two groups to compare the effects of two instructional interventions--the first based on problem-solving through discussion, the second on individual problem-solving--on students' learning of two historical topics (World War I and the economic boom), interest and self-perception of…
Calculator solves pipe flow problems
Verma, C.P.
1980-07-28
For facilitating pipe-flow calculations that involve the horizontal flow of constant-density fluids, a simple program tailored to the TI-59 hand-held calculator uses the Darcy pressure-drop formula (modified for expressing the friction factor) to compute the unknown parameter needed to solve the fluid problem. Instead of several friction-factor equations applicable only in the individual flow regimes, the program uses a single, full-range friction-factor equation with three sets of coefficients to suit the conditions of the problem.
ERIC Educational Resources Information Center
Jackson, David F.; And Others
Recent research has demonstrated the promise of graphing software as an aid to teaching graphs in two content areas: line graphs of aspects of motion and graphs of algebraic functions. This study attempted to generalize the idea of computer-assisted graphing to include the use of several kinds of graphs to solve a wider range of problems. A unit…
Teachers' Pedagogies and Their Impact on Students' Mathematical Problem Solving
ERIC Educational Resources Information Center
Ho, Kai Fai; Hedberg, John G.
2005-01-01
This paper examines the classroom practices of three teachers teaching mathematics at the 5th grade level in three Singapore schools. Using a video-coding scheme, a series of lessons was coded into relevant phases comprising problem solving, teaching concepts/skills, going over assigned work, and student activities. It explores the teachers'…
The Contribution of External Representations in Pre-School Mathematical Problem Solving
ERIC Educational Resources Information Center
Shiakalli, Maria Angela; Zacharos, Konstantinos
2012-01-01
Could problem solving be the object of teaching in early education? Could appropriate teaching interventions develop to scaffold children's efforts to solve problems? These were the central questions of this article. The sample consisted of 18 children attending public pre-school in Cyprus. The problem they were asked to solve was to find all…
Geogebra for Solving Problems of Physics
NASA Astrophysics Data System (ADS)
Kllogjeri, Pellumb; Kllogjeri, Adrian
Today is highly speed progressing the computer-based education, which allowes educators and students to use educational programming language and e-tutors to teach and learn, to interact with one another and share together the results of their work. In this paper we will be concentrated on the use of GeoGebra programme for solving problems of physics. We have brought an example from physics of how can be used GeoGebra for finding the center of mass(centroid) of a picture(or system of polygons). After the problem is solved graphically, there is an application of finding the center of a real object(a plate)by firstly, scanning the object and secondly, by inserting its scanned picture into the drawing pad of GeoGebra window and lastly, by finding its centroid. GeoGebra serve as effective tool in problem-solving. There are many other applications of GeoGebra in the problems of physics, and many more in different fields of mathematics.
Learning nucleic acids solving by bioinformatics problems.
Nunes, Rhewter; Barbosa de Almeida Júnior, Edivaldo; Pessoa Pinto de Menezes, Ivandilson; Malafaia, Guilherme
2015-09-10
The article describes the development of a new approach to teach molecular biology to undergraduate biology students. The 34 students who participated in this research belonged to the first period of the Biological Sciences teaching course of the Instituto Federal Goiano at Urutaí Campus, Brazil. They were registered in Cell Biology in the first semester of 2013. They received four 55 min-long expository/dialogued lectures that covered the content of "structure and functions of nucleic acids". Later the students were invited to attend four meetings (in a computer laboratory) in which some concepts of Bioinformatics were presented and some problems of the Rosalind platform were solved. The observations we report here are very useful as a broad groundwork to development new research. An interesting possibility is research into the effects of bioinformatics interventions that improve molecular biology learning. © 2015 by The International Union of Biochemistry and Molecular Biology, 43(5):377-383, 2015. PMID:26251209
Anger in Middle School: The Solving Problems Together Model
ERIC Educational Resources Information Center
Hall, Kimberly R.; Rushing, Jeri L.; Owens, Rachel B.
2009-01-01
Problem-focused interventions are considered to be one of the most effective group counseling strategies with adolescents. This article describes a problem-focused group counseling model, Solving Problems Together (SPT), with a small group of adolescent African American boys struggling with anger management. Adapted from the teaching philosophy of…
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…
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…
Cartreine, James A.; Chang, Trina E.; Seville, Janette L.; Sandoval, Luis; Moore, John B.; Xu, Shuai; Hegel, Mark T.
2012-01-01
Problem-solving treatment (PST) offers a promising approach to the depression care; however, few PST training opportunities exist. A computer-guided, interactive media program has been developed to deliver PST electronically (ePST), directly to patients. The program is a six-session, weekly intervention modeled on an evidence-based PST protocol. Users are guided through each session by a clinician who is presented via hundreds of branching audio and video clips. Because expert clinician behaviors are modeled in the program, not only does the ePST program have the potential to deliver PST to patients but it may also serve as a training tool to teach clinicians how to deliver PST. Thirteen social workers and trainees used ePST self-instructionally and subsequently attended a day-long workshop on PST. Participants' PST knowledge level increased significantly from baseline to post-ePST (P = .001) and did not increase significantly further after attending the subsequent workshop. Additionally, attending the workshop did not significantly increase the participants' skill at performing PST beyond the use of the ePST program. Using the ePST program appears to train novices to a sufficient level of competence to begin practicing PST under supervision. This self-instructional training method could enable PST for depression to be widely disseminated, although follow-up supervision is still required. PMID:23213493
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.
Problem-Based Learning and Prospective Teachers: Implications for Problem Solving and Practice
ERIC Educational Resources Information Center
De Simone, Christina
2009-01-01
The author examines using problem-based learning (PBL) to guide preservice teachers' problem-solving abilities. Two classes of preservice teachers were divided into either an experimental group, who were taught to solve classroom problems using PBL, or a control group, who used traditional teaching methods such as discussion and videoclips of…
Beamer graphics problem solved Abhijit Champanerkar
Champanerkar, Abhijit
Beamer graphics problem solved Abhijit Champanerkar College of Staten Island, CUNY January 15, 2009 Abhijit Champanerkar (CSI, CUNY) Beamer graphics problem solved #12;I wanted to get the following and not on a Mac :( Abhijit Champanerkar (CSI, CUNY) Beamer graphics problem solved #12;Graphics Problem: Figure
Developing Problem Solving Skills for Life
NSDL National Science Digital Library
Michelle Pauls
2013-04-02
In this blog post the author explores another tool for the problem-solving toolbox: Wish for an easier problem. Within the post a story problem is presented and examples of ways students could use this strategy are shown. Also included is a link to an AIMS problem solving activity, "One Step at a Time" that is best solved utilizing this strategy.
Problem Solving with the Elementary Youngster.
ERIC Educational Resources Information Center
Swartz, Vicki
This paper explores research on problem solving and suggests a problem-solving approach to elementary school social studies, using a culture study of the ancient Egyptians and King Tut as a sample unit. The premise is that problem solving is particularly effective in dealing with problems which do not have one simple and correct answer but rather…
Creative Problem Solving for the Virtual Storyteller
Theune, Mariët
Creative Problem Solving for the Virtual Storyteller Students: Niels Bloom, Joost Vromen to known fairytales, and will use the Creative Problem Solver to solve problems for both the plot agent ............................................................................................ 5 2.3. A Model for Creative Problem Solving .................................................... 8 2
Research on Computers and Problem Solving.
ERIC Educational Resources Information Center
Burton, John K.; And Others
1988-01-01
Eight articles review and report on research involving computers and problem solving skills. Topics discussed include research design; problem solving skills and programing languages, including BASIC and LOGO; computer anxiety; diagnostic programs for arithmetic problems; and relationships between ability and problem solving scores and between…
Can Problem Solving Affect the Understanding of Rational Numbers in the Middle School Setting?
Meredith, Krystal B.
2010-07-14
In this study, problem solving provided deeper meaning and understanding through the implementation of a structured problem solving strategy with the teaching of rational numbers. This action-research study was designed as a quasi-experimental model...
Students' Difficulties in Transfer of Problem Solving Across Representations
NASA Astrophysics Data System (ADS)
Nguyen, Dong-Hai; Rebello, N. Sanjay
2009-11-01
Studies indicate that the use of multiple representations in teaching helps students become better problem solvers. We report on a study to investigate students' difficulties with multiple representations. We conducted teaching/learning interviews with 20 students in a first semester calculus-based physics course. Each student was interviewed four times during the semester, each time after they had completed an exam in class. During these interviews students were first asked to solve a problem they had seen on the exam, followed by problems that differed in context and type of representation from the exam problem. Students were provided verbal scaffolding to solve the new problems. We discuss the common difficulties that students encountered when attempting to transfer their problem solving skills across problems in different representations.
Big vs little problems : what is problem solving?
NSDL National Science Digital Library
Judy Spicer
2005-01-01
In this web publication, the focus is on those problems--big and small--that encourage students to think, ask questions, try a variety of problem-solving approaches, and discuss their strategies and solutions. It points out the vast difference between numerical problems dressed up as episodes of everyday life and real mathematics used every day to facilitate understanding and decision making. Built on the ideas found in the NCTM Standards, the Background section offers pedagogical examples and resources to expand teachers' understanding of mathematics and problem solving. The Activities sections feature selected online resources that are useful in expanding student thinking as they learn to become problem solvers in math class and beyond. The highlighted resources are from collections in the National Science Digital Library (NSDL). Information about each resource includes links to the catalog record and to the resource's original NSDL collection. The publication's final Standards section ties the problem solving standard to the other four NCTM process standards as the foundation for high quality mathematics teaching. Copyright 2005 Eisenhower National Clearinghouse
Grade 1 Practice Problems: Reasoning, Problem Solving & Communication
NSDL National Science Digital Library
2011-01-01
This is a set of 46 problems that focus on reasoning and problem solving skills. Successful solving requires careful reading of the problems. Math content topics include applications of basic operations, multistep problems, and comparing quantities and attributes.
Flexibility in Problem Solving: The Case of Equation Solving
ERIC Educational Resources Information Center
Star, Jon R.; Rittle-Johnson, Bethany
2008-01-01
A key learning outcome in problem-solving domains is the development of flexible knowledge, where learners know multiple strategies and adaptively choose efficient strategies. Two interventions hypothesized to improve flexibility in problem solving were experimentally evaluated: prompts to discover multiple strategies and direct instruction on…
Physics Problem Solving Research Using Protocols.
ERIC Educational Resources Information Center
Brekke, Stewart E.
This paper presents an overview of research on physics problem solving using verbal protocols. It asserts that the understanding of physics problem solving strategies enables researchers to write computer programs, which can automatically solve physics problems without the users having to be experts in physics. This, in turn, can generate more…
Evaluating Research in Cooperative Distributed Problem Solving
Massachusetts at Amherst, University of
Evaluating Research in Cooperative Distributed Problem Solving Keith S. Decker Edmund H. Durfee Research under Contract NR049-041. 0 #12;Cooperative Distributed Problem Solving (CDPS) is a new field Distributed Problem Solving (CDPS) is a new field that has not yet established critical research mass, so
Solving Generalized Small Inverse Problems Noboru Kunihiro
International Association for Cryptologic Research (IACR)
Solving Generalized Small Inverse Problems Noboru Kunihiro The University of Tokyo, Japan kunihiro@k.u-tokyo.ac.jp Abstract. We introduce a "generalized small inverse problem (GSIP)" and present an algorithm for solving such that the target problem can be solved in polynomial time in log M in an explicit form. Since GSIPs in- clude some
Evaluating Research in Cooperative Distributed Problem Solving
Massachusetts at Amherst, University of
Evaluating Research in Cooperative Distributed Problem Solving Keith S. Decker Edmund H. Durfee Research under Contract NR049041. 0 #12; Cooperative Distributed Problem Solving (CDPS) is a new field Cooperative Distributed Problem Solving (CDPS) is a new field that has not yet established critical research
Problem Solving 1 NCTM National Mathematics Standards
Lee, Carl
Problem Solving 1 NCTM National Mathematics Standards The following comes from the website- tion. The level of mathematical thinking and problem solving needed in the workplace has increased a new set of mathematics basics that enable them to compute fluently and to solve problems creatively
Creative Problem Solving in Quality Circles.
ERIC Educational Resources Information Center
Ball, Geoffrey H.
One of a series of seven guides to developing the skills of quality circle members, this workbook is intended to introduce participants in creative problem solving workshops to literature on the subject as well as to provide tools for creative problem-solving. Contents include introductory activities, an overview of creative problem-solving, and…
Problem Solving Appraisal of Delinquent Adolescents.
ERIC Educational Resources Information Center
Perez, Ruperto M.; And Others
The study investigated the following: (1) the relationship of problem solving appraisal to narcissistic vulnerability, locus of control, and depression; (2) the differences in problem solving appraisal, locus of control, and depression in first-time and repeat offenders; and (3) the prediction of problem solving appraisal by narcissistic…
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…
Perspectives on Problem Solving and Instruction
ERIC Educational Resources Information Center
van Merrienboer, Jeroen J. G.
2013-01-01
Most educators claim that problem solving is important, but they take very different perspective on it and there is little agreement on how it should be taught. This article aims to sort out the different perspectives and discusses problem solving as a goal, a method, and a skill. As a goal, problem solving should not be limited to well-structured…
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)
Agent Assistance: From Problem Solving to Music Anton Nijholt
Theune, Mariët
of Hanoi, a well-known problem that is offered to CS students to learn about recursion. Other agents weAgent Assistance: From Problem Solving to Music Teaching Anton Nijholt University of Twente, CTIT research on agents that act and behave in a web learning environment. This research is part of a general
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…
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…
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
Grade 2 Practice Problems: Reasoning, Problem Solving & Communication
NSDL National Science Digital Library
2011-01-01
This is a set of 13 problems that focus on reasoning and problem solving skills. Successful solving requires careful reading of the problems. Math content topics include basic operations, counting, halving and doubling, money and measuring.
Solving Stochastic Inverse Problems: A Sparse Grid
Zabaras, Nicholas J.
Solving Stochastic Inverse Problems: A Sparse Grid Collocation Approach N. Zabaras Cornell to large scale problems. To solve large-scale problems involving high-dimensional stochastic spaces (in Methods for Large-Scale Inverse Problems and Quantification of Uncertainity. Edited by People on Earth c
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.
ERIC Educational Resources Information Center
Ramaekers, Stephan; van Keulen, Hanno; Kremer, Wim; Pilot, Albert; van Beukelen, Peter
2011-01-01
Case-based learning formats, in which relevant case information is provided just in time, require teachers to combine their scaffolding role with an information-providing one. The objective of this study is to establish how this combination of roles affects teacher behavior and that, in turn, mediates students' reasoning and problem solving. Data…
NASA Astrophysics Data System (ADS)
Thurmond, Brandi
This study sought to compare a data-rich learning (DRL) environment that utilized online data as a tool for teaching about renewable energy technologies (RET) to a lecture-based learning environment to determine the impact of the learning environment on students' knowledge of Science, Technology, Engineering, and Math (STEM) concepts related to renewable energy technologies and students' problem solving skills. Two purposefully selected Advanced Placement (AP) Environmental Science teachers were included in the study. Each teacher taught one class about RET in a lecture-based environment (control) and another class in a DRL environment (treatment), for a total of four classes of students (n=128). This study utilized a quasi-experimental, pretest/posttest, control-group design. The initial hypothesis that the treatment group would have a significant gain in knowledge of STEM concepts related to RET and be better able to solve problems when compared to the control group was not supported by the data. Although students in the DRL environment had a significant gain in knowledge after instruction, posttest score comparisons of the control and treatment groups revealed no significant differences between the groups. Further, no significant differences were noted in students' problem solving abilities as measured by scores on a problem-based activity and self-reported abilities on a reflective questionnaire. This suggests that the DRL environment is at least as effective as the lecture-based learning environment in teaching AP Environmental Science students about RET and fostering the development of problem solving skills. As this was a small scale study, further research is needed to provide information about effectiveness of DRL environments in promoting students' knowledge of STEM concepts and problem-solving skills.
How To Solve Typical School Problems.
ERIC Educational Resources Information Center
Ohle, Nancy; Morley, Cindy Lakin
This book presents interactive problem-solving situations based on the principles of Total Quality Management. Following the introductory chapter, the second chapter describes the two stages of the problem-solving process: (1) analysis of the problem and its causes, and (2) identification of a solution. Each stage is comprised of three…
Mathematical Problem Solving for Elementary School Teachers
Ciocan-Fontanine, Ionut
Mathematical Problem Solving for Elementary School Teachers Dennis E. White April 15, 2013 #12;ii to the interconnection of ideas, to the communication of mathematics and to problem solving skills. Material in these notes interconnect in various ways. Many problems emphasize communicating mathematical ideas both orally
Distributed problem solving by pilots and dispatchers
NASA Technical Reports Server (NTRS)
Orasanu, Judith; Wich, Mike; Fischer, Ute; Jobe, Kim; Mccoy, Elaine; Beatty, Roger; Smith, Phil
1993-01-01
The study addressed the following question: Are flight planning problems solved differently by PILOTS and DISPATCHERS when they work alone versus when they work together? Aspect of their performance that were of interest include the following: Problem perception and definition; Problem solving strategies and information use; Options considered; Solution and rational; and errors.
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…
General Description of Human Problem Solving.
ERIC Educational Resources Information Center
Klein, Gary A.; Weitzenfeld, Julian
A theoretical model relating problem identification to problem solving is presented. The main purpose of the study is to increase understanding of decision making among Air Force educators. The problem-solving process is defined as the generation and evaluation of alternatives that will accomplish what is needed and the reidentification of what is…
Problem Solving for the Primary Grades.
ERIC Educational Resources Information Center
Bruni, James V.
1982-01-01
Defines the concept of problem and notes that primary-grade teachers need to help nurture problem-solving skills. Discusses six practical ways instructors can promote such skills and views the ability and willingness of teachers to transform typical activities into problem-solving opportunities as essential. (MP)
Authentic assessment of students' problem solving
NASA Astrophysics Data System (ADS)
Xu, Qing; Heller, Kenneth; Hsu, Leonardo; Aryal, Bijaya
2013-01-01
Improving curricular materials and practices aimed at complex cognitive processes such as problem solving requires careful planning and useful tools for assessment. To illustrate the challenges of measuring a change in students' problem solving in physics, we present the results of and a reflection on a pilot assessment of the effectiveness of computer problem-solving coaches [1] in a large (200+ student) section of an introductory physics course.
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,…
Mobile serious games for collaborative problem solving.
Sanchez, Jaime; Mendoza, Claudia; Salinas, Alvaro
2009-01-01
This paper presents the results obtained from the implementation of a series of learning activities based on mobile serious games (MSG) 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, who had to solve the problems posed by the game collaboratively. The data shows that the experimental group had a higher perception of their own skills of collaboration and of the plan execution dimension of problem solving than the control group, providing empirical evidence regarding the contribution of MSGs to the development of collaborative problem-solving skills. PMID:19592762
Preparing Teachers of Gifted Students to Solve Problems.
ERIC Educational Resources Information Center
Monaco, Theresa M.; Georgiades, William Den Hartog
1986-01-01
Teachers have successfully used three Principles of Teacher Training (Curry Sato, 1984) as guidelines for identifying and solving instructional problems with gifted students. Teaching styles were changed through training, which was (1) reinforced through appropriate materials; (2) attempted to meet participants' specific needs; and (3) was…
Problem Solving: Physics Modeling-Based Interactive Engagement
ERIC Educational Resources Information Center
Ornek, Funda
2009-01-01
The purpose of this study was to investigate how modeling-based instruction combined with an interactive-engagement teaching approach promotes students' problem solving abilities. I focused on students in a calculus-based introductory physics course, based on the matter and interactions curriculum of Chabay & Sherwood (2002) at a large state…
ERIC Educational Resources Information Center
Kim, Minchi C.; Hannafin, Michael J.
2011-01-01
With the expanding availability and capability of varied technologies, classroom-based problem solving has become an increasingly attainable, yet still elusive, goal. Evidence of technology-enhanced problem-solving teaching and learning in schools has been scarce, understanding how to support students' problem solving in classroom-based,…
Implementing a Problem-Solving Intervention with Students with Mild to Moderate Disabilities
ERIC Educational Resources Information Center
Cote, Debra L.
2011-01-01
Students with mild and moderate disabilities need to be skillful at problem solving. This article provides an overview of a problem-solving intervention designed to teach students with mild and moderate disabilities the skills of problem solving. An explanation of the assessments, materials, instructional outline, and methods is presented.…
Problem Solving of Newton's Second Law through a System of Total Mass Motion
ERIC Educational Resources Information Center
Abdullah, Helmi
2014-01-01
Nowadays, many researchers discovered various effective strategies in teaching physics, from traditional to modern strategy. However, research on physics problem solving is still inadequate. Physics problem is an integral part of physics learning and requires strategy to solve it. Besides that, problem solving is the best way to convey principle,…
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…
Analyzing patterns in experts' approaches to solving experimental problems
NASA Astrophysics Data System (ADS)
?an?ula, Maja Poklinek; Planinši?, Gorazd; Etkina, Eugenia
2015-04-01
We report detailed observations of three pairs of expert scientists and a pair of advanced undergraduate students solving an experimental optics problem. Using a new method ("transition graphs") of visualizing sequences of logical steps, we were able to compare the groups and identify patterns that could not be found using previously existing methods. While the problem solving of undergraduates significantly differed from that of experts at the beginning of the process, it gradually became more similar to the expert problem solving. We mapped problem solving steps and their sequence to the elements of an approach to teaching and learning physics called Investigative Science Learning Environment (ISLE), and we speculate that the ISLE educational framework closely represents the actual work of physicists.
Problem Solving, Patterns, Probability, Pascal, and Palindromes.
ERIC Educational Resources Information Center
Hylton-Lindsay, Althea Antoinette
2003-01-01
Presents a problem-solving activity, the birth order problem, and several solution-seeking strategies. Includes responses of current and prospective teachers and a comparison of various strategies. (YDS)
Problem Solving Skills for Children.
ERIC Educational Resources Information Center
Youngs, Bettie B.
This guide was written for children, to help them handle problems they might encounter, learn about other children and how they have handled similar problems, and learn what to do when things go wrong or when they feel misunderstood. In the introduction, children are assured that, even when they have problems, they can be happy again. The body of…
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…
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…
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…
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…
VCU SchoolofEngineering Solving Global Problems
Motai, Yuichi
VCU SchoolofEngineering Solving Global Problems Embracing International Partners Vo l u m e f o u r canbecollectedindifferent geometriestoformascaffoldto grownewtissue. #12;solving Global problems embracing international, entitled "Scaffold Characterization of Electrospun Novel Poly(ester-ether) Copolymers: 1,4-Dioxan-2-one
Creative Problem Solving Through Music Activities.
ERIC Educational Resources Information Center
Hitz, Randy
1987-01-01
Maintains that young children can develop creative problem-solving skills through such music activities as finger plays and action songs, music games, writing words for songs, and composing melodies. Also suggests ways that teachers can establish and maintain an environment that enables children to solve problems creatively through music. (BB)
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
Problem Solving Software for Math Classes.
ERIC Educational Resources Information Center
Troutner, Joanne
1987-01-01
Described are 10 computer software programs for problem solving related to mathematics. Programs described are: (1) Box Solves Story Problems; (2) Safari Search; (3) Puzzle Tanks; (4) The King's Rule; (5) The Factory; (6) The Royal Rules; (7) The Enchanted Forest; (8) Gears; (9) The Super Factory; and (10) Creativity Unlimited. (RH)
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…
Children Solving Problems. The Developing Child Series.
ERIC Educational Resources Information Center
Thornton, Stephanie
The developmental increase in the ability to solve problems is a puzzle. Does it come from basic changes in mental skills, or is it a matter of practice? This book from the Developing Child series synthesizes recent research examining children's problem-solving skills development. Chapter 1 presents the major themes: (1) there is increasing…
Interpersonal Problem Solving in Preschool Aged Children.
ERIC Educational Resources Information Center
Swanson, Arthur J.; Siegel, Lawrence J.
This study was designed as a partial replication and extension of the research on interpersonal problem solving in preschool children by Shure and Spivack. Fifteen well-adjusted and 14 impulsive children from Head Start Centers were administered the Preschool Interpersonal Problem Solving test (PIPS) under either incentive or no incentive…
Personality, Problem Solving, and Adolescent Substance Use
ERIC Educational Resources Information Center
Jaffee, William B.; D'Zurilla, Thomas J.
2009-01-01
The major aim of this study was to examine the role of social problem solving in the relationship between personality and substance use in adolescents. Although a number of studies have identified a relationship between personality and substance use, the precise mechanism by which this occurs is not clear. We hypothesized that problem-solving…
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,…
Mathematical Problem Solving. Issues in Research.
ERIC Educational Resources Information Center
Lester, Frank K., Jr., Ed.; Garofalo, Joe, Ed.
This set of papers was originally developed for a conference on Issues and Directions in Mathematics Problem Solving Research held at Indiana University in May 1981. The purpose is to contribute to the clear formulation of the key issues in mathematical problem-solving research by presenting the ideas of actively involved researchers. An…
ERIC Educational Resources Information Center
Park, Jongwon; Lee, Limook
2004-01-01
Recently, the importance of an everyday context in physics learning, teaching, and problem-solving has been emphasized. However, do students or physics educators really want to learn or teach physics problem-solving in an everyday context? Are there not any obstructive factors to be considered in solving the everyday context physics problems? To…
Pen Pals: Practicing Problem Solving
ERIC Educational Resources Information Center
Lampe, Kristen A.; Uselmann, Linda
2008-01-01
This article describes a semester-long pen-pal project in which preservice teachers composed mathematical problems and the middle school students worked for solutions. The college students assessed the solution and the middle school students provided feedback regarding the problem itself. (Contains 6 figures.)
Problem Solving Academic Resource Center
Heller, Barbara
very helpful, especially in problems that require you to take one set of dimensions (eg grams) and find another dimension (eg number of entities). This allows you to trace out the problem and find the numbers 2. Absolute temperature can never be below 0 3. Violates definition of an element. You cannot have 1
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…
ERIC Educational Resources Information Center
Kamis, Arnold; Khan, Beverly K.
2009-01-01
How do we model and improve technical problem solving, such as network subnetting? This paper reports an experimental study that tested several hypotheses derived from Kolb's experiential learning cycle and Huber's problem solving model. As subjects solved a network subnetting problem, they mapped their mental processes according to Huber's…
The effects of cumulative practice on mathematics problem solving.
Mayfield, Kristin H; Chase, Philip N
2002-01-01
This study compared three different methods of teaching five basic algebra rules to college students. All methods used the same procedures to teach the rules and included four 50-question review sessions interspersed among the training of the individual rules. The differences among methods involved the kinds of practice provided during the four review sessions. Participants who received cumulative practice answered 50 questions covering a mix of the rules learned prior to each review session. Participants who received a simple review answered 50 questions on one previously trained rule. Participants who received extra practice answered 50 extra questions on the rule they had just learned. Tests administered after each review included new questions for applying each rule (application items) and problems that required novel combinations of the rules (problem-solving items). On the final test, the cumulative group outscored the other groups on application and problem-solving items. In addition, the cumulative group solved the problem-solving items significantly faster than the other groups. These results suggest that cumulative practice of component skills is an effective method of training problem solving. PMID:12102132
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
Lesion mapping of social problem solving.
Barbey, Aron K; Colom, Roberto; Paul, Erick J; Chau, Aileen; Solomon, Jeffrey; Grafman, Jordan H
2014-10-01
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 the Tulsa ozone problem
Wagner, K.K. [Atmospheric Information Systems, Norman, OK (United States); Wilson, J.D. [Wilson Consulting Group, Tulsa, OK (United States); Gibeau, E. [Aeromet Inc., Tulsa, OK (United States)
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.
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.
Sour landfill gas problem solved
Nagl, G.; Cantrall, R. [Wheelabrator Clean Air Systems, Inc., Schaumburg, IL (United States)
1996-05-01
In Broward County, Fla., near Pompano Beach, Waste Management of North America (WMNA, a subsidiary of WMX Technologies, Oak Brook, IL) operates the Central Sanitary Landfill and Recycling Center, which includes the country`s largest landfill gas-to-energy plant. The landfill consists of three collection sites: one site is closed, one is currently receiving garbage, and one will open in the future. Approximately 9 million standard cubic feet (scf) per day of landfill gas is collected from approximately 300 wells spread over the 250-acre landfill. With a dramatic increase of sulfur-containing waste coming to a South Florida landfill following Hurricane Andrew, odors related to hydrogen sulfide became a serious problem. However, in a matter of weeks, an innovative desulfurization unit helped calm the landfill operator`s fears. These very high H{sub 2}S concentrations caused severe odor problems in the surrounding residential area, corrosion problems in the compressors, and sulfur dioxide (SO{sub 2}) emission problems in the exhaust gas from the turbine generators.
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…
Solving Domination Problems with Mathematical Programming
van der Torre, Leon
Solving Domination Problems with Mathematical Programming Team Meeting Ad hoc 2010.01.25 Julien of optimization problems 4 Why these problems? Dominating Sets (DS) and its variants Connected Dominating Sets, they are often used to create virtual backbones Why this approach? #12;Definition: Dominating Set 5 A Dominating
Problem Solving: Can Anybody Do It?
ERIC Educational Resources Information Center
Bennett, Stuart W.
2008-01-01
This paper examines the definition of a problem and at the process of problem solving. An analysis of a number of first and third year chemistry examination papers from English universities revealed that over ninety per cent of the "problems" fell into the "algorithm" category. Using Bloom's taxonomy and the same examination papers, we found that…
Towards Automated Training of Legal Problem Solving.
ERIC Educational Resources Information Center
Muntjewerff, Antoinette J.
An examination of Dutch research on legal case solving revealed that few law students get systematic instruction or testing in the technique of legal problem solving. The research being conducted at the Department of Computer Science and Law at the University of Amsterdam focuses on identifying the different functions in legal reasoning tasks in…
Photoreactors for Solving Problems of Environmental Pollution
NASA Astrophysics Data System (ADS)
Tchaikovskaya, O. N.; Sokolova, I. V.
2015-04-01
Designs and physical aspects of photoreactors, their capabilities for a study of kinetics and mechanisms of processes proceeding under illumination with light, as well as application of photoreactors for solving various applied problem are discussed.
On Solving the Coronal Heating Problem
James A. Klimchuk
2006-03-09
This article assesses the current state of understanding of coronal heating, outlines the key elements of a comprehensive strategy for solving the problem, and warns of obstacles that must be overcome along the way.
Social Influences on Children's Problem Solving.
ERIC Educational Resources Information Center
Perlmutter, Marion; And Others
1989-01-01
Three studies examined effects of peer interaction on the problem solving of 150 children of 4-11 years. Age, task complexity, and task familiarity were found to qualify effects of peer interaction on motivation and learning. (RJC)
Solving scientific problems on hypercube parallel computers
Ward, R.C.
1986-01-01
This paper discusses the need of a hypercube parallel computer (or supercomputer) in solving new scientific problems. Performance and efficiency are discussed along with certain applications. 4 refs. (LSP)
ERIC Educational Resources Information Center
King, Elaine Boswell; Schlundt, David G.; Pichert, James W.; Kinzer, Charles K.; Backer, Barbara A.
2002-01-01
Nurses, dietitians, physicians, and a pharmacist (n=33) attended a patient teaching and problem-solving course emphasizing assessment, brainstorming, collaboration, and direct instruction skills. Analysis of videotaped patient teaching exercises revealed significant improvement in all four skills. Length of teaching sessions remained the same.…
A Comparison of Two Mathematics Problem-Solving Strategies: Facilitate Algebra-Readiness
ERIC Educational Resources Information Center
Xin, Yan Ping; Zhang, Dake; Park, Joo Young; Tom, Kinsey; Whipple, Amanda; Si, Luo
2011-01-01
The authors compared a conceptual model-based problem-solving (COMPS) approach with a general heuristic instructional approach for teaching multiplication-division word-problem solving to elementary students with learning problems (LP). The results indicate that only the COMPS group significantly improved, from pretests to posttests, their…
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.
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.
Teacher Training as Collaborative Problem Solving
ERIC Educational Resources Information Center
Barojas, Jorge
2004-01-01
A problem solving protocol is described and then applied to a teacher training problematic situation in science and technology education. The problem consists of improving a learning community involved in education research, development and communication. Some remarks concerning the strengths and limitations of using the protocol are made in…
Language and mathematical problem solving among bilinguals.
Bernardo, Allan B I
2002-05-01
Does using a bilingual's 1st or 2nd language have an effect on problem solving in semantically rich domains like school mathematics? The author conducted a study to determine whether Filipino-English bilingual students' understanding and solving of word problems in arithmetic differed when the problems were in the students' 1st and 2nd languages. Two groups participated-students whose 1st language was Filipino and students whose 1st language was English-and easy and difficult arithmetic problems were used. The author used a recall paradigm to assess how students understood the word problems and coded the solution accuracy to assess problem solving. The results indicated a 1st-language advantage; that is, the students were better able to understand and solve problems in their 1st language, whether the 1st language was English or Filipino. Moreover, the advantage was more marked with the easy problems. The theoretical and practical implications of the results are discussed. PMID:12206277
Component Architectures for Distributed Scientific Problem Solving
Govindaraju, Madhusudhan
Component Architectures for Distributed Scientific Problem Solving D. Gannon, R. Bramley, T scientific software code base as components of larger problem solutions. In this paper, we survey the design issues and theory of component based software. To illustrate the ideas we also present a prototype
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…
Teacher Learning on Problem-Solving Teams
ERIC Educational Resources Information Center
Gregory, Anne
2010-01-01
Problem-solving teams address student difficulties. Teams comprised of teachers, specialists, and administrators identify the student problem, develop individualized interventions, and assess student change. Teacher experiences of teams are understudied. In a prospective, mixed-method study conducted in the United States, 34 teachers were followed…
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…
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,…
Model Formulation for Physics Problem Solving. Draft.
ERIC Educational Resources Information Center
Novak, Gordon S., Jr.
The major task in solving a physics problem is to construct an appropriate model of the problem in terms of physical principles. The functions performed by such a model, the information which needs to be represented, and the knowledge used in selecting and instantiating an appropriate model are discussed. An example of a model for a mechanics…
Preservice Teachers' Problem-Solving Processes
Margaret Taplin
1998-01-01
The purpose of the study reported in this paper is to explore some of the common difficulties with mathematical word problems experienced by preservice primary teachers. It examines weaknesses in students' content and procedural knowledge, with a particular focus on how they apply these aspects of knowledge to solving closed word problems\\
Pulsation damper solves analyzer problem (journal version)
Montgomery, J.W.
1988-01-01
This paper describes the use of a pulsation damper to solve a severe output-signal interference problem with a Beckman Model 402 Total Hydrocarbon Analyzer. The analyzer was used in a computerized data-gathering system. The problem was traced to compressions/decompressions of flow caused by the sample pump.
PULSATION DAMPER SOLVES ANALYZER PROBLEM (JOURNAL VERSION)
The paper describes the use of a pulsation damper to solve a severe output signal interference problem with a Beckman Model 402 Total Hydrocarbon Analyzer. The analyzer was used in a computerized data-gathering system. The problem was traced to compressions/decompressions of flow...
Spatial Visualization in Physics Problem Solving
ERIC Educational Resources Information Center
Kozhevnikov, Maria; Motes, Michael A.; Hegarty, Mary
2007-01-01
Three studies were conducted to examine the relation of spatial visualization to solving kinematics problems that involved either predicting the two-dimensional motion of an object, translating from one frame of reference to another, or interpreting kinematics graphs. In Study 1, 60 physics-naive students were administered kinematics problems and…
Values in Principals' Thinking when Solving Problems
ERIC Educational Resources Information Center
Lazaridou, Angeliki
2007-01-01
The values that school principals use when solving organisational problems were studied. Data were collected by a think aloud procedure, in which the participants verbalised their thoughts while working on a set of five administrative problems. The results show that the principals referred to seven values that had subtle but important sub-texts:…
ERIC Educational Resources Information Center
Karatas, Ilhan; Baki, Adnan
2013-01-01
Problem solving is recognized as an important life skill involving a range of processes including analyzing, interpreting, reasoning, predicting, evaluating and reflecting. For that reason educating students as efficient problem solvers is an important role of mathematics education. Problem solving skill is the centre of mathematics curriculum.…
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.
Solving scientific problems on hypercube parallel computers
Ward, R.C.
1986-05-15
The presentation discusses the research activities on hypercube parallel computers at Oak Ridge National Laboratory and assesses the potential of hypercubes for solving large scale scientific computational problems. Items discussed are the reasons ORNL purchased two hypercube computers, the results of basic research on matrix computations, the status of the seven applications projects being ''converted'' to run on the hypercube, the suggested steps for programming parallel computers, and the advantages and problem areas of the hypercube architecture for solving today's scientific problems. 3 refs.
Problem Solving in Technology Education: A Taoist Perspective
NSDL National Science Digital Library
Flowers, Jim
Problem solving and product design experiences can empower students by presenting unique learning opportunities. Although the problem solving method may have been important to technology education, as well as industrial arts, as far back as the 1920s (Foster, 1994), the movement to incorporate more problem solving and product design in technology education kept surfacing in the 1990s. For example, the Commonwealth of Virginia introduced a series of high school technology courses grouped together as Design and Technology (Virginia Department of Education, 1992); TIES Magazine's web site offered 70 video tapes "that will support the teaching of design, problem solving and technology" (Ties, 1998); the use of design briefs was emphasized (Ritz & Deal, 1992); the popularity of a textbook titled Design and Problem Solving in Technology (Hutchinson & Karsnitz, 1994) continued to grow; and smiling students and their technological inventions were featured in articles (Edwards, 1996), at fairs, and in promotional materials. In the newer approaches to technology education that center on design, students are often asked to design new products. They creatively invent products like: pizza cutters with built-in flashlights; roller skates that work in sand; hats with built-in fans for cooling; and yet another way to store compact discs. Target Audience: 2-4 Year College Faculty/Administrators
Nanomedicine : Problem Solving to Treat Cancer
NSDL National Science Digital Library
Amy C. Payne
2006-01-01
Students rarely have the opportunity to delve into the unknown and brainstorm solutions to cutting-edge, unsolved science problems that affect thousands of people. To counter this trend, the following activity was developed to expose students to issues and problems surrounding cancer treatment using an inquiry-based approach. Through this activity, students step into the role of ?real? scientists and brainstorm possible treatment options by working collaboratively, utilizing problem solving strategies, and creativity to explore science and technology.
Frits F. M. DeMul; Cristina Martin i. Batlle; Imme DeBruijn; Kees Rinzema
2004-01-01
Teaching physics to first-year university students (in the USA: junior\\/senior level) is often hampered by their lack of skills in the underlying mathematics, and that in turn may block their understanding of the physics and their ability to solve problems. Examples are vector algebra, differential expressions and multi-dimensional integrations, and the Gauss and Ampère laws learnt in electromagnetism courses. To
Frits F M De Mul; Cristina Martin i Batlle; Imme De Bruijn; Kees Rinzema
2004-01-01
Teaching physics to first-year university students (in the USA: junior\\/senior level) is often hampered by their lack of skills in the underlying mathematics, and that in turn may block their understanding of the physics and their ability to solve problems. Examples are vector algebra, differential expressions and multi-dimensional integrations, and the Gauss and Ampère laws learnt in electromagnetism courses. To
AI tools in computer based problem solving
NASA Technical Reports Server (NTRS)
Beane, Arthur J.
1988-01-01
The use of computers to solve value oriented, deterministic, algorithmic problems, has evolved a structured life cycle model of the software process. The symbolic processing techniques used, primarily in research, for solving nondeterministic problems, and those for which an algorithmic solution is unknown, have evolved a different model, much less structured. Traditionally, the two approaches have been used completely independently. With the advent of low cost, high performance 32 bit workstations executing identical software with large minicomputers and mainframes, it became possible to begin to merge both models into a single extended model of computer problem solving. The implementation of such an extended model on a VAX family of micro/mini/mainframe systems is described. Examples in both development and deployment of applications involving a blending of AI and traditional techniques are given.
Brain dynamics of mathematical problem solving.
Lin, Chun-Ling; Jung, Melody; Wu, Ying Choon; Lin, Chin-Teng; She, Hsiao-Ching
2012-01-01
The purpose of this study is to examine brain activities of participants solving mental math problems. The research investigated how problem difficulty affected the subjects' responses and electroencephalogram (EEG) in different brain regions. In general, it was found that solution latencies (SL) to the math problems increased with difficulty. The EEG results showed that across subjects, the right-central beta, left-parietal theta, left-occipital theta and alpha, right-parietal alpha and beta, medial-frontal beta and medial central theta power decreased as task difficulty increased. This study further explored the effects of problem-solving performance on the EEG. Slow solvers exhibited greater frontal theta activities in the right hemisphere, whereas an inverse pattern of hemispheric asymmetry was found in fast solvers. Furthermore, analyses of spatio-temporal brain dynamics during problem solving show progressively stronger alpha- and beta-power suppression and theta-power augmentation as subjects were reaching a solution. These findings provide a better understanding of cortical activities mediating math-based problem solving and knowledge acquisition that can ultimately benefit math learning and education. PMID:23366994
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
Problem solving in a distributed environment
NASA Technical Reports Server (NTRS)
Rashid, R. F.
1980-01-01
Distributed problem solving is anayzed as a blend of two disciplines: (1) problem solving and ai; and (2) distributed systems (monitoring). It may be necessary to distribute because the application itself is one of managing distributed resources (e.g., distributed sensor net) and communication delays preclude centralized processing, or it may be desirable to distribute because a single computational engine may not satisfy the needs of a given task. In addition, considerations of reliability may dictate distribution. Examples of multi-process language environment are given.
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
Insightful Problem Solving in an Asian Elephant
Foerder, Preston; Galloway, Marie; Barthel, Tony; Moore, Donald E.; Reiss, Diana
2011-01-01
The “aha” moment or the sudden arrival of the solution to a problem is a common human experience. Spontaneous problem solving without evident trial and error behavior in humans and other animals has been referred to as insight. Surprisingly, elephants, thought to be highly intelligent, have failed to exhibit insightful problem solving in previous cognitive studies. We tested whether three Asian elephants (Elephas maximus) would use sticks or other objects to obtain food items placed out-of-reach and overhead. Without prior trial and error behavior, a 7-year-old male Asian elephant showed spontaneous problem solving by moving a large plastic cube, on which he then stood, to acquire the food. In further testing he showed behavioral flexibility, using this technique to reach other items and retrieving the cube from various locations to use as a tool to acquire food. In the cube's absence, he generalized this tool utilization technique to other objects and, when given smaller objects, stacked them in an attempt to reach the food. The elephant's overall behavior was consistent with the definition of insightful problem solving. Previous failures to demonstrate this ability in elephants may have resulted not from a lack of cognitive ability but from the presentation of tasks requiring trunk-held sticks as potential tools, thereby interfering with the trunk's use as a sensory organ to locate the targeted food. PMID:21876741
Using Conceptual Scaffolding to Foster Effective Problem Solving
NASA Astrophysics Data System (ADS)
Ding, Lin; Reay, Neville; Lee, Albert; Bao, Lei
2009-11-01
Traditional end-of-chapter problems often are localized, requiring formulas only within a single chapter. Students frequently can solve these problems by performing "plug-and-chug" without recognizing underlying concepts. We designed open-ended problems that require a synthesis of concepts that are broadly separated in the teaching time line, militating against students' blindly invoking locally introduced formulas. Each problem was encapsulated into a sequence with two preceding conceptually-based multiple-choice questions. These conceptual questions address the same underlying concepts as the subsequent problem, providing students with guided conceptual scaffolding. When solving the problem, students were explicitly advised to search for underlying connections based on the conceptual questions. Both small-scale interviews and a large-scale written test were conducted to investigate the effects of guided conceptual scaffolding on student problem solving. Specifically, student performance on the open-ended problems was compared between those who received scaffolding and those who did not. A further analysis of whether the conceptual scaffolding was equivalent to mere cueing also was conducted.
ERIC Educational Resources Information Center
Chamberlin, Scott A.; Powers, Robert A.
2013-01-01
The focus of the article is the validation of an instrument to assess gifted students' affect after mathematical problem solving tasks. Participants were 225 students identified by their district as gifted in grades four to six. The Chamberlin Affective Instrument for Mathematical Problem Solving was used to assess feelings, emotions, and…
ERIC Educational Resources Information Center
Treffinger, Donald J.; Selby, Edwin C.; Isaksen, Scott G.
2008-01-01
More than five decades of research and development have focused on making the Creative Problem Solving process and tools accessible across a wide range of ages and contexts. Recent evidence indicates that when individuals, in both school and corporate settings, understand their own style of problem solving, they are able to learn and apply process…
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…
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…
ERIC Educational Resources Information Center
Shure, Myrna B.
Designed for teachers of kindergarten and the primary 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 89 lessons are adaptable for various levels of ability throughout the…
I Can Problem Solve: An Interpersonal Cognitive Problem-Solving Program. Preschool.
ERIC Educational Resources Information Center
Shure, Myrna B.
Designed for teachers of preschool 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. Originally developed for four-year-old children in a preschool setting, most three-year-old…
Kendall, P C; Fischler, G L
1984-06-01
The interpersonal cognitive problem-solving (ICPS) skills (i.e., means-ends thinking, identified obstacles, alternative solutions, consequential thinking) of 150 families (father, mother, and child 6-11 years old) were assessed via written tests and problem-solving behavioral performance. The interrelationships of ICPS written and behavioral problem-solving skills were examined, as were the relationships of each of these measures of problem solving to both parent and teacher indices of child adjustment. IQ, as measured by the age-appropriate Wechsler scale, was partialed out. Results indicated some ecological validity of written alternatives and consequential tests for children and means-ends tests for parents. Neither parents' nor children's written ICPS scores nor problem-solving behavior were systematically related to either teacher or parent ratings of child adjustment. However, a behavioral index of parental facilitation of child problem solving was significantly related to all problem-solving behaviors and some written ICPS measures. Results are discussed in terms of the role of ICPS skills in child adjustment, the potential limits of ICPS measures in therapy outcome, and the manner in which children learn interpersonal cognitive problem solving. PMID:6734310
ERIC Educational Resources Information Center
Shure, Myrna Beth
1979-01-01
Descriptive and evaluative information is presented about the Interpersonal Cognitive Problem Solving (ICPS) program, which utilizes sequenced games and dialogs to teach young children new ways of thinking about and coping with interpersonal difficulties. (SJL)
Solving the Hard Problem of Bertrand's Paradox
Diederik Aerts; Massimiliano Sassoli de Bianchi
2014-06-27
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.
Solving the hard problem of Bertrand's paradox
Aerts, Diederik, E-mail: diraerts@vub.ac.be [Center Leo Apostel for Interdisciplinary Studies and Department of Mathematics, Brussels Free University, Brussels (Belgium); Sassoli de Bianchi, Massimiliano, E-mail: autoricerca@gmail.com [Laboratorio di Autoricerca di Base, Lugano (Switzerland)
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.
Solving the hard problem of Bertrand's paradox
NASA Astrophysics Data System (ADS)
Aerts, Diederik; de Bianchi, Massimiliano Sassoli
2014-08-01
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.
Components of Problem Solving and Types of Problems
Joost Breuker
1994-01-01
A typology of problems is presented that is used for indexing and accessing reusable problem solving components in a library that supports the CommonKADS methodology for building knowledge based systems. Eight types of problems, such as planning, assessment etc., are distinguished, and their dependencies are explained. These dependencies suggest that the typology is to be viewed as a suite rather
Basic corrosion control methods solve varied problems
R. C. Strong; V. K. Majestic; S. M. Wilhelm
1991-01-01
This paper reports that every fluid catalytic cracking (FCC) corrosion-control problem is different, but several basic principles should be understood and applied as needed. These principles were used effectively to solve corrosion problems in three U.S. refineries. The corrosion-control method chosen for any system will depend on both the chemical nature of the corrosion and the physical characteristics of the
NASA Astrophysics Data System (ADS)
Salta, Katerina; Tzougraki, Chryssa
2011-08-01
The students' performance in various types of problems dealing with the conservation of matter during chemical reactions has been investigated at different levels of schooling. The participants were 499 ninth grade (ages 14, 15 years) and 624 eleventh grade (ages 16, 17 years) Greek students. Data was collected using a written questionnaire concerning basic chemical concepts. Results of statistical factor and correlation analysis confirmed the classification of the problems used in three types: "algorithmic-type", "particulate-type", and "conceptual-type". All the students had a far better performance in "particulate-type" problems than in the others. Although students' ability in solving "algorithmic-type" problem increases as their school experience in chemistry progresses, their ability in solving "conceptual-type" problems decreases. Students' achievement in chemistry was measured by a Chemical Concepts Test (CCT) containing 57 questions of various forms. High-achievement students scored higher both on "algorithmic-type" and "particulate-type" problems than low achievers with the greatest difference observed in solving "algorithmic-type" problems. It is concluded that competence in "particulate-type" and "algorithmic-type" problem solving may be independent of competence in solving "conceptual-type" ones. Furthermore, it was found that students' misconceptions concerning chemical reactions and equivalence between mass and energy are impediments to their problem solving abilities. Finally, based on the findings, few suggestions concerning teaching practices are discussed.
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…
Instruction Emphasizing Effort Improves Physics Problem Solving
ERIC Educational Resources Information Center
Li, Daoquan
2012-01-01
Effectively using strategies to solve complex problems is an important educational goal and is implicated in successful academic performance. However, people often do not spontaneously use the effective strategies unless they are motivated to do so. The present study was designed to test whether educating students about the importance of effort in…
Will Biotech Crops Solve World Problems?
NSDL National Science Digital Library
Brian R. Shmaefsky (Kingwood College; )
2003-02-01
This lesson examines implications of biotechnology on agriculture. Students can discuss the pro & con arguments and economics of GM food labeling, create a dinner menu of GM food, develop a GM crop testing company, submit ideas for a GM crop that may solve a selected nation's problem, update statistics & data used in the original article... and more!
Design and Problem Solving in Technology Education.
ERIC Educational Resources Information Center
Custer, Rodney L.
1999-01-01
Collectively, technological literacy embraces everything from intelligent consumerism to concerns about environmental degradation, ethics, and elitism. Technological problem solving can have social, ecological, or technological goals and may be categorized by four types: invention, design, trouble shooting, and procedures. Every citizen should be…
Collaborative Problem Solving Methods towards Critical Thinking
ERIC Educational Resources Information Center
Yin, Khoo Yin; Abdullah, Abdul Ghani Kanesan; Alazidiyeen, Naser Jamil
2011-01-01
This research attempts to examine the collaborative problem solving methods towards critical thinking based on economy (AE) and non economy (TE) in the SPM level among students in the lower sixth form. The quasi experiment method that uses the modal of 3X2 factorial is applied. 294 lower sixth form students from ten schools are distributed…
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)
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…
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 in Chemistry Using Eureka.
ERIC Educational Resources Information Center
Chau, F. T.; Chik, Andy S. W.
1989-01-01
Discusses a software package that allows the user to solve mathematical problems, analyze data, plot graphs, and to examine mathematical models. Presents the attributes of the program and the available mathematical functions. Provides an example of pH calculations. (MVL)
Stoichiometric Problem Solving in High School Chemistry.
ERIC Educational Resources Information Center
Schmidt, Hans-Jurgen
The purpose of this descriptive study was to create and test questions on stoichiometry with number ratios for quick mental calculations and to identify students' problem-solving strategies. The present study was a component of a more comprehensive investigation in which 7,441 German senior high school students were asked to work on 154 test items…
Supporting Distance Learners for Collaborative Problem Solving.
ERIC Educational Resources Information Center
Verdejo, M. F.; Barros, B.; Abad, M. T.
This paper describes a computer-supported environment designed to facilitate distance learning through collaborative problem-solving. The goal is to encourage distance learning students to work together, in order to promote both learning of collaboration and learning through collaboration. Collaboration is defined as working together on a common…
Optimistic Problem Solving Susan L. Epstein
Epstein, Susan L.
and The Graduate Center of The City University of New York 695 Park Avenue, New York, NY 10065, USA susan and solve problems optimisti- cally because it is ecologically rational, that is, computa- tionally efficiency and less rigor. As computers tackle increasingly realistic tasks, ecological rationality becomes
UNSW ENGINEERING Solving tomorrow's problems today
New South Wales, University of
Architecture 40 Â Petroleum Engineering 41 Â Photovoltaics and Solar Energy Engineering 42 Â Renewable Energy limbs (biomedical engineering) and harnessing geothermal energy (petroleum engineering) to name justUNSW ENGINEERING Solving tomorrow's problems today Engineering Undergraduate Guide 2016 Never Stand
Educational Telecomputing Activities: Problem-Solving Projects.
ERIC Educational Resources Information Center
Harris, Judi
1995-01-01
Presents seven activity structures for Internet-based problem solving projects to aid teachers in designing effective educational telecomputing experiences that can be curriculum-based and adapted to learning needs and preferences of students. These projects include information searches; electronic process writing; sequential creations; parallel…
Problem Solving. Workplace Education Program Curriculum.
ERIC Educational Resources Information Center
Burkhart, Jennifer
The BUILD Program (Businesses United to Increase Literacy Development) was conducted from June 1991 through December 1992 as a cooperative workplace literacy program joining Arapahoe Community College and four companies in Littleton, Colorado. This document consists of three modules for the problem-solving and computer learning systems classes of…
Computer Enhanced Problem Solving Skill Acquisition.
ERIC Educational Resources Information Center
Slotnick, Robert S.
1989-01-01
Discusses the implementation of interactive educational software that was designed to enhance critical thinking, scientific reasoning, and problem solving in a university psychology course. Piagetian and computer learning perspectives are explained; the courseware package, PsychWare, is described; and the use of heuristics and algorithms in…
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…
Students' Metacognition in Mathematical Problem Solving.
ERIC Educational Resources Information Center
Wong, Philip Siew Koon
The purpose of this study was to determine whether students from different academic settings differ in their usage of metacognitive strategies in mathematical problem solving, and if they do, what the differences are. A questionnaire was administered to students at various levels from academic tracks and academic streams requiring them to…
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…
How Instructional Designers Solve Workplace Problems
ERIC Educational Resources Information Center
Fortney, Kathleen S.; Yamagata-Lynch, Lisa C.
2013-01-01
This naturalistic inquiry investigated how instructional designers engage in complex and ambiguous problem solving across organizational boundaries in two corporations. Participants represented a range of instructional design experience, from novices to experts. Research methods included a participant background survey, observations of…
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…
Problem-Solving Research with Computers.
ERIC Educational Resources Information Center
Licht, Norman
This study examined whether analogy or means-ends strategies (heuristics) would be used to solve geometric puzzle-like problems, which were generated by a microcomputer. The subjects in the two-group experiment were undergraduate students enrolled in an introductory psychology course at Potsdam College (New York). One group of subjects learned…
Learning Problem-Solving through Making Games at the Game Design and Learning Summer Program
ERIC Educational Resources Information Center
Akcaoglu, Mete
2014-01-01
Today's complex and fast-evolving world necessitates young students to possess design and problem-solving skills more than ever. One alternative method of teaching children problem-solving or thinking skills has been using computer programming, and more recently, game-design tasks. In this pre-experimental study, a group of middle school…
An In-Service Teachers' Workshop on Mathematical Problem Solving through Activity-Based Learning
ERIC Educational Resources Information Center
Toh, Tin Lam
2007-01-01
This paper describes an in-service professional development course in introducing creative approaches to teach mathematics for teachers from the private-funded schools in Java, Indonesia. The course focused on introducing teachers to problem-solving processes and skills, and samples of activity-based worksheet on problem solving through secondary…
ERIC Educational Resources Information Center
Westbrook, Amy F.
2011-01-01
It can be difficult to find adequate strategies when teaching problem solving in a standard based mathematics classroom. The purpose of this study was to improve students' problem solving skills and attitudes through differentiated instruction when working on lengthy performance tasks in cooperative groups. This action research studied for 15 days…
Effects of Real and Contrived Problem-Solving on Economic Learning
ERIC Educational Resources Information Center
Ellis, Arthur K.; Glenn, Allen D.
1977-01-01
A study examined three different approaches to the teaching of economic concepts and the development of problem-solving skills: a real life problem-solving experience, a contrived experience using simulation and gaming, and a discussion-workbook experience. (Author/JR)
Mathematical Problem Solving among Latina/o Kindergartners: An Analysis of Opportunities to Learn
ERIC Educational Resources Information Center
Turner, Erin E.; Celedon-Pattichis, Sylvia
2011-01-01
This study explores opportunities to learn mathematics problem solving for Latina/o students in 3 kindergarten classrooms in the southwest. Mixed methods were used to examine teaching practices that engaged Latina/o students in problem solving and supported their learning. Findings indicate that although students in all 3 classrooms showed growth…
Developing Problem-Solving Skills of Students Taking Introductory Physics via Web-Based Tutorials
ERIC Educational Resources Information Center
Singh, Chandralekha; Haileselassie, Daniel
2010-01-01
Science teaching and learning can be made both engaging and student-centered using pedagogical, computer-based learning tools. We have developed self-paced interactive problem-solving tutorials for introductory physics. These tutorials can provide guidance and support for a variety of problem-solving techniques, as well as opportunities for…
A Modeling Perspective on Metacognition in Everyday Problem-Solving Situations.
ERIC Educational Resources Information Center
Hjalmarson, Margret
This paper describes a models and modeling framework that has been applied to various areas in teaching, learning and problem solving. It examines the implications of that framework on metacognition and higher order thinking during everyday problem-solving situations that required teams of students to produce complex solutions in approximately 1-2…
ERIC Educational Resources Information Center
Montague, Marjorie
2008-01-01
This article provides a review of research in cognitive strategy instruction for improving mathematical problem solving for students with learning disabilities (LD). The particular focus is on one of the salient components of this instructional approach--self-regulation. Seven studies utilizing this approach for teaching problem solving to…
Design, Development and Validation of a Model of Problem Solving for Egyptian Science Classes
ERIC Educational Resources Information Center
Shahat, Mohamed A.; Ohle, Annika; Treagust, David F.; Fischer, Hans E.
2013-01-01
Educators and policymakers envision the future of education in Egypt as enabling learners to acquire scientific inquiry and problem-solving skills. In this article, we describe the validation of a model for problem solving and the design of instruments for evaluating new teaching methods in Egyptian science classes. The instruments were based on…
Examining the Effects of Home Training on Problem-Solving Styles.
ERIC Educational Resources Information Center
Bermudez, Andrea
A study examined the possible differences in home training received by Hispanics and Anglos, the development of particular problem-solving styles as a result of home training, and possible differences between Hispanics and Anglos in problem-solving styles. A questionnaire was used to investigate home teaching style, actualization of…
I Can Problem Solve (ICPS): A Cognitive Approach to Preventing Early High Risk Behaviors.
ERIC Educational Resources Information Center
Shure, Myrna B.; And Others
This outline presents a program designed to teach children "how" to think, not what to think--so as to help them solve typical interpersonal problems with peers and adults. Through games, stories, puppets, illustrations, and role plays, children learn a pre-problem solving vocabulary, feeling word concepts, and ways to arrive at solutions to…
ERIC Educational Resources Information Center
Wuttke, Eveline; Wolf, Karsten D.
2007-01-01
Increasing people's ability to solve complex problems is more and more often being seen as an integral part of vocational education. While there have been numerous empirically-based approaches to the didactic structuring of teaching and learning arrangements by which students' ability to solve problems can be increased, knowledge of how to…
ERIC Educational Resources Information Center
Peterson, Sharon L.; Palmer, Louann Bierlein
2011-01-01
This study identified the problem solving strategies used by students within a university course designed to teach pre-service teachers educational technology, and whether those strategies were influenced by the format of the course (i.e., face-to-face computer lab vs. online). It also examined to what extent the type of problem solving strategies…
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
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.
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.
ERIC Educational Resources Information Center
Fuchs, Lynn S.; Fuchs, Douglas; Finelli, Robin; Courey, Susan J.; Hamlett, Carol L.
2004-01-01
Mathematical problem solving is a transfer challenge requiring children to develop schemas for recognizing novel problems as belonging to familiar problem types for which they know solutions. Schema-based transfer instruction (SBTI) explicitly teaches transfer features that change problems in superficial ways to make them appear novel even though…
Neirotti, Juan Pablo
Approved Module Information for CS1320, 2014/5 Module Title/Name: Problem Solving Module Code: CS to Exchange Students? Not Specified Module Learning Information Module Aims: To teach generic problem solving skills and meta-level reflection in the context of computer programming. Problem solving skills
Teaching Linkage and Problem Translating Skills in Chemistry
ERIC Educational Resources Information Center
Lee, Kam Wah Lucille; Yap, Kueh Chin; Goh, Ngoh Khang; Chia, Lian-Sai; Tang, Woh Un
2004-01-01
This study examines the effects of teaching Linkage and Problem Translating Skills on students' problem-solving performance and their learning of the five cognitive variables namely, Concept Relatedness, Idea Association, Problem Translating Skill, Non-Specific but Relevant Knowledge and Specific Knowledge. Seventy three Grade 9 (Secondary 3)…
A connectionist model for diagnostic problem solving
NASA Technical Reports Server (NTRS)
Peng, Yun; Reggia, James A.
1989-01-01
A competition-based connectionist model for solving diagnostic problems is described. The problems considered are computationally difficult in that (1) multiple disorders may occur simultaneously and (2) a global optimum in the space exponential to the total number of possible disorders is sought as a solution. The diagnostic problem is treated as a nonlinear optimization problem, and global optimization criteria are decomposed into local criteria governing node activation updating in the connectionist model. Nodes representing disorders compete with each other to account for each individual manifestation, yet complement each other to account for all manifestations through parallel node interactions. When equilibrium is reached, the network settles into a locally optimal state. Three randomly generated examples of diagnostic problems, each of which has 1024 cases, were tested, and the decomposition plus competition plus resettling approach yielded very high accuracy.
Students' Images of Problem Contexts when Solving Applied Problems
ERIC Educational Resources Information Center
Moore, Kevin C.; Carlson, Marilyn P.
2012-01-01
This article reports findings from an investigation of precalculus students' approaches to solving novel problems. We characterize the images that students constructed during their solution attempts and describe the degree to which they were successful in imagining how the quantities in a problem's context change together. Our analyses revealed…
Giant Story Problems: Reading Comprehension through Math Problem Solving.
ERIC Educational Resources Information Center
Goularte, Renee
Primary students solve "oversized" story problems using drawings, equations, and written responses, helping them understand the links between the language of story problems and the numerical representations of matching equations. The activity also includes oral language and reflective writing, thus bringing together a variety of language…
A Problem with Current Conceptions of Expert Problem Solving
Eric Kuo; Michael Hull; Ayush Gupta; Andrew Elby
2011-01-01
Current conceptions of expert problem solving depict physical\\/conceptual reasoning and formal mathematical reasoning as separate steps: a good problem solver first translates a physical understanding into mathematics, then performs mathematical\\/symbolic manipulations, then interprets the mathematical solution physically. However, other research suggests that blending conceptual and symbolic reasoning during symbolic manipulations can reflect expertise. We explore the hypothesis that blending conceptual
Quantum problem solving as simultaneous computation
Giuseppe Castagnoli
2007-10-09
I provide an alternative way of seeing quantum computation. First, I describe an idealized classical problem solving machine that, thanks to a many body interaction, reversibly and nondeterministically produces the solution of the problem under the simultaneous influence of all the problem constraints. This requires a perfectly accurate, rigid, and reversible relation between the coordinates of the machine parts - the machine can be considered the many body generalization of another perfect machine, the bounching ball model of reversible computation. The mathematical description of the machine, as it is, is applicable to quantum problem solving, an extension of the quantum algorithms that comprises the physical representation of the problem-solution interdependence. The perfect relation between the coordinates of the machine parts is transferred to the populations of the reduced density operators of the parts of the computer register. The solution of the problem is reversibly and nondeterministically produced under the simultaneous influence of the state before measurement and the quantum principle. At the light of the present notion of simultaneous computation, the quantum speed up turns out to be "precognition" of the solution, namely the reduction of the initial ignorance of the solution due to backdating, to before running the algorithm, a time-symmetric part of the state vector reduction on the solution; as such, it is bounded by state vector reduction through an entropic inequality. PACS numbers: 03.67.Lx, 01.55.+b, 01.70.+w
E 101: Introduction to Engineering & Problem Solving College of Engineering
Hunt, William F.
E 101: Introduction to Engineering & Problem Solving College of Engineering Fall 2008 Sections to the field of Engineering. An objective will be to integrate teamwork, problem solving, and verbal to Engineering & Problem Solving Course Website: [WEB] Introduction to Engineering & Problem Solving, http
Interactive Problem Solving Tutorials Through Visual Programming
NASA Astrophysics Data System (ADS)
Undreiu, Lucian; Schuster, David; Undreiu, Adriana
2008-10-01
We have used LabVIEW visual programming to build an interactive tutorial to promote conceptual understanding in physics problem solving. This programming environment is able to offer a web-accessible problem solving experience that enables students to work at their own pace and receive feedback. Intuitive graphical symbols, modular structures and the ability to create templates are just a few of the advantages this software has to offer. The architecture of an application can be designed in a way that allows instructors with little knowledge of LabVIEW to easily personalize it. Both the physics solution and the interactive pedagogy can be visually programmed in LabVIEW. Our physics pedagogy approach is that of cognitive apprenticeship, in that the tutorial guides students to develop conceptual understanding and physical insight into phenomena, rather than purely formula-based solutions. We demonstrate how this model is reflected in the design and programming of the interactive tutorials.
Exploring the role of conceptual scaffolding in solving synthesis problems
NASA Astrophysics Data System (ADS)
Ding, Lin; Reay, Neville; Lee, Albert; Bao, Lei
2011-12-01
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 a solver to conduct a general search for underlying concepts. Hypothesizing that complete reliance on EOC problems trains students to rely on a nonexpert approach, we designed and implemented “synthesis” problems, each combining two major concepts that are broadly separated in the teaching timeline. To provide students with guided conceptual scaffolding, we encapsulated each synthesis problem into a sequence with two preceding conceptually based multiple-choice questions. Each question contained one of the major concepts covered in the subsequent synthesis problem. Results from a small-scale interview study and two large-scale written tests showed that the scaffolding encouraged students to search for and apply appropriate fundamental principles in solving synthesis problems, and that repeated training using scaffolded synthesis problems also helped students to make cross-topic transfers.
Designing cases in problem-based learning to foster problem-solving skill.
Lohman, Margaret C; Finkelstein, Michael
2002-08-01
The purpose of this study was to examine the effect of case segmentation schemes in problem-based learning (PBL) on the development of problem-solving skill, self-directedness and technical knowledge. Seventy-four dental education students were randomly assigned to 12 PBL groups. Six groups experienced PBL cases that were formatted in short segments and six groups experienced PBL cases that were formatted in long segments. Pretest measures of problem-solving skill, self-directedness and technical knowledge were administered at the beginning of the Fall 1998 semester. Students studied three PBL cases in their assigned groups in the ensuing semester. Posttest measures were administered at the conclusion of the semester. Analysis of the data found that students who experienced PBL with a short case segmentation scheme were better able to solve problems highly similar to the problems in the teaching cases than students who experienced PBL with a long case segmentation scheme. No significant differences were found for self-directedness, technical knowledge, or ability to solve problems distinctly different from the teaching cases. Explanations of these findings and their implications for research and practice in PBL are discussed. PMID:12269867
Analyzing Collaborative Problem Solving with Bayesian Networks
NASA Astrophysics Data System (ADS)
Duque, Rafael; Bravo, Crescencio; Lacave, Carmen
Some learning theories emphasize the benefits of group work and shared knowledge acquisition in the learning processes. The Computer-Supported Collaborative Learning (CSCL) systems are used to supportcollaborative learning and knowledge building, making communication tools, shared workspaces, and automatic analysis tools available to users. In this article we describe a Bayesian network automatically built from a database of analysis indicators qualifying the individual work, the group work, and the solutions built in a CSCL environment that supports a problem solving approach. This network models the relationships between the indicators that represent both the collaborative workprocess and the problem solution.
Answers G53KRR 2013-2014 BOOKWORK VS PROBLEM SOLVING: questions are problem solving un-
Alechina, Natasha
G53KRR-E1 Answers G53KRR 2013-2014 BOOKWORK VS PROBLEM SOLVING: questions are problem solving un- less stated otherwise. Students have done exercises of the same type (e.g. trans- lating English to the exercise is not useful. G53KRR-E1 Turn Over #12;2 G53KRR-E1 1. This question is on first-order logic. (a
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
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
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.
2014-01-01
Background Healthcare worldwide needs translation of basic ideas from engineering into the clinic. Consequently, there is increasing demand for graduates equipped with the knowledge and skills to apply interdisciplinary medicine/engineering approaches to the development of novel solutions for healthcare. The literature provides little guidance regarding barriers to, and facilitators of, effective interdisciplinary learning for engineering and medical students in a team-based project context. Methods A quantitative survey was distributed to engineering and medical students and staff in two universities, one in Ireland and one in Belgium, to chart knowledge and practice in interdisciplinary learning and teaching, and of the teaching of innovation. Results We report important differences for staff and students between the disciplines regarding attitudes towards, and perceptions of, the relevance of interdisciplinary learning opportunities, and the role of creativity and innovation. There was agreement across groups concerning preferred learning, instructional styles, and module content. Medical students showed greater resistance to the use of structured creativity tools and interdisciplinary teams. Conclusions The results of this international survey will help to define the optimal learning conditions under which undergraduate engineering and medicine students can learn to consider the diverse factors which determine the success or failure of a healthcare engineering solution. PMID:24450310
ERIC Educational Resources Information Center
Hamadneh, Iyad M.; Al-Masaeed, Aslan
2015-01-01
This study aimed at finding out mathematics teachers' attitudes towards photo math application in solving mathematical problems using mobile camera; it also aim to identify significant differences in their attitudes according to their stage of teaching, educational qualifications, and teaching experience. The study used judgmental/purposive…
Big vs little problems :What is Problem Solving?
NSDL National Science Digital Library
Judy Spicer
This resource guide from the Middle School Portal 2 project, written specifically for teachers, provides links to exemplary resources including background information, lessons, career information, and related national science education standards. In this wiki page, the focus is on those problems--big and small--that encourage students to think, ask questions, try a variety of problem-solving approaches, and discuss their strategies and solutions. It points out the vast difference between numerical problems dressed up as episodes of everyday life and real mathematics used every day to facilitate understanding and decision making. Built on the ideas found in the NCTM Standards, the Background section offers pedagogical examples and resources to expand teachers' understanding of mathematics and problem solving. The Activities sections feature selected online resources that are useful in expanding student thinking as they learn to become problem solvers in math class and beyond.
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).
Solving the Rehearsal Problem with Planning and with Model Checking
Miller, Alice
Solving the Rehearsal Problem with Planning and with Model Checking Peter Gregory , Alice Miller. Planning problems have been modelled and solved as constraint satis- faction problems [14]. Similarly, model checking problems have been modelled and solved as constraint satisfaction problems [5, 6
Problem Solving Interventions: Impact on Young Children with Developmental Disabilities
ERIC Educational Resources Information Center
Diamond, Lindsay Lile
2012-01-01
Problem-solving skills are imperative to a child's growth and success across multiple environments, including general and special education. Problem solving is comprised of: (a) attention to the critical aspects of a problem, (b) generation of solution(s) to solve the problem, (c) application of a solution(s) to the identified problem, and…
Negotiation as a Metaphor for Distributed Problem Solving
Randall Davis; Reid G. Smith
1983-01-01
We describe the concept of distributed problem solving and define it as the cooperative solution of problems by a decentralized and loosely coupled collection of problem solvers. This approach to problem solving offers the promise of increased performance and provides a useful medium for exploring and developing new problem-solving techniques. We present a framework called the contract net that specifies
Data completion problems solved as Nash games
NASA Astrophysics Data System (ADS)
Habbal, A.; Kallel, M.
2012-09-01
The Cauchy problem for an elliptic operator is formulated as a two-player Nash game. Player (1) is given the known Dirichlet data, and uses as strategy variable the Neumann condition prescribed over the inaccessible part of the boundary. Player (2) is given the known Neumann data, and plays with the Dirichlet condition prescribed over the inaccessible boundary. The two players solve in parallel the associated Boundary Value Problems. Their respective objectives involve the gap between the non used Neumann/Dirichlet known data and the traces of the BVP's solutions over the accessible boundary, and are coupled through a difference term. We prove the existence of a unique Nash equilibrium, which turns out to be the reconstructed data when the Cauchy problem has a solution. We also prove that the completion algorithm is stable with respect to noise, and present two 3D experiments which illustrate the efficiency and stability of our algorithm.
Solving optimization problems on computational grids.
Wright, S. J.; Mathematics and Computer Science
2001-05-01
Multiprocessor computing platforms, which have become more and more widely available since the mid-1980s, are now heavily used by organizations that need to solve very demanding computational problems. Parallel computing is now central to the culture of many research communities. Novel parallel approaches were developed for global optimization, network optimization, and direct-search methods for nonlinear optimization. Activity was particularly widespread in parallel branch-and-bound approaches for various problems in combinatorial and network optimization. As the cost of personal computers and low-end workstations has continued to fall, while the speed and capacity of processors and networks have increased dramatically, 'cluster' platforms have become popular in many settings. A somewhat different type of parallel computing platform know as a computational grid (alternatively, metacomputer) has arisen in comparatively recent times. Broadly speaking, this term refers not to a multiprocessor with identical processing nodes but rather to a heterogeneous collection of devices that are widely distributed, possibly around the globe. The advantage of such platforms is obvious: they have the potential to deliver enormous computing power. Just as obviously, however, the complexity of grids makes them very difficult to use. The Condor team, headed by Miron Livny at the University of Wisconsin, were among the pioneers in providing infrastructure for grid computations. More recently, the Globus project has developed technologies to support computations on geographically distributed platforms consisting of high-end computers, storage and visualization devices, and other scientific instruments. In 1997, we started the metaneos project as a collaborative effort between optimization specialists and the Condor and Globus groups. Our aim was to address complex, difficult optimization problems in several areas, designing and implementing the algorithms and the software infrastructure need to solve these problems on computational grids. This article describes some of the results we have obtained during the first three years of the metaneos project. Our efforts have led to development of the runtime support library MW for implementing algorithms with master-worker control structure on Condor platforms. This work is discussed here, along with work on algorithms and codes for integer linear programming, the quadratic assignment problem, and stochastic linear programmming. Our experiences in the metaneos project have shown that cheap, powerful computational grids can be used to tackle large optimization problems of various types. In an industrial or commercial setting, the results demonstrate that one may not have to buy powerful computational servers to solve many of the large problems arising in areas such as scheduling, portfolio optimization, or logistics; the idle time on employee workstations (or, at worst, an investment in a modest cluster of PCs) may do the job. For the optimization research community, our results motivate further work on parallel, grid-enabled algorithms for solving very large problems of other types. The fact that very large problems can be solved cheaply allows researchers to better understand issues of 'practical' complexity and of the role of heuristics.
Modal preferences in creative problem solving.
Deininger, Gina; Loudon, Gareth; Norman, Stefanie
2012-08-01
Embodied cognitive science appeals to the idea that cognition depends on the body as well as on the brain. This study looks at whether we are more likely to engage just the brain or enlist the body for complex cognitive functioning such as creative problem solving. Participants were presented with a puzzle based on De Bono's lateral thinking puzzles. The puzzle consisted of rotating and joining two-dimensional shapes to make a three-dimensional one. In one condition, participants were given the choice of either solving the puzzle mentally or through manipulation of the images on a computer screen. In another condition, the subjects had to solve the puzzle first mentally and then report which mode they would have preferred to solve the puzzle. Two more conditions were applied with slight variations. In all conditions, an overwhelming majority of participants chose to solve the puzzle by manipulation, even though there was not a significant increase on performance. It appeared that participants were making a conscious choice for the body to play a feedback-driven role in creative cognitive processing. This strong preference for manual manipulation over just mental representation, regardless of the impact on performance, would seem to suggest that it is our natural tendency to involve the body in complex cognitive functioning. This would support the theory that cognition may be more than just a neural process, and that it is a dynamic interplay between body, brain and world. The experiential feedback of the body moving through space and time may be an inherently important factor in creative cognition. PMID:22806663
Problem-solving deficits in depressed children, adolescents, and adults
Leonard A. Doerfler; Larry L. Mullins; Nora J. Griffin; Lawrence J. Siegel; C. Steven Richards
1984-01-01
Recent research has emphasized the importance of interpersonal problems with depression. It has been hypothesized that deficits in interpersonal problem-solving skills may account for many of these problems. Three studies that examined the relationship between problem-solving skills and depression are reported. Problem-solving skills among children, adolescents, and adults were assessed by the Means-Ends Problem Solving Test. Contrary to prediction, there
ERIC Educational Resources Information Center
Hall, Kimberly R.; Rushing, Jeri Lynn; Khurshid, Ayesha
2011-01-01
Problem-focused interventions are considered to be one of the most effective group counseling strategies with adolescents. This article describes a problem-focused group counseling model, Solving Problems Together (SPT), that focuses on working with students who struggle with negative peer pressure. Adapted from the teaching philosophy of…
"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…
A Process Analysis of Engineering Problem Solving and Assessment of Problem Solving Skills
ERIC Educational Resources Information Center
Grigg, Sarah J.
2012-01-01
In the engineering profession, one of the most critical skills to possess is accurate and efficient problem solving. Thus, engineering educators should strive to help students develop skills needed to become competent problem solvers. In order to measure the development of skills, it is necessary to assess student performance, identify any…
Rubloff, Gary W.
, hierarchical, heterogeneous and dynamic problems of engineering technology and systems for industry Chandrasekaran, Brian F. Conaghan, Manh-Quan Nguyen, Gary W. Rubloff, and Rock Z. Shi Institute for Systems on the manufacturing system performance, a consequence of importance which is not readily obvious to a process engineer
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.
Problem-solving techniques in occupational medicine.
Shusterman, D
1985-09-01
The diagnosis of occupational illnesses may be considerably more difficult than is the case with occupational injuries because of a variety of factors: an intervening latency period, uncertainty in identifying the most significant chemical or physical exposures, determination of exposure levels retrospectively, and coordination of the physician with regulatory and workers' compensation bureaucracies. Such problem-solving techniques as retrospective industrial hygiene and attention to in-situ chemistry can act as means of reducing the uncertainty in making the diagnosis of occupational illness. Advance familiarity with workers' compensation and state or federal regulatory agencies can further facilitate diagnosis and patient advocacy. PMID:3161991
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.
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.
Physics Graduate Students' Attitudes and Approaches to Problem Solving
NASA Astrophysics Data System (ADS)
Singh, Chandralekha; Mason, Andrew
2009-11-01
Students' attitudes and approaches to problem solving in physics can profoundly influence their motivation to learn and their development of expertise. We administered an Attitudes and Approaches to Problem Solving (AAPS) survey to physics graduate students and analyzed their responses about problem solving in their own graduate level courses vs. problem solving in introductory physics. The physics graduate students' responses to the survey questions were also compared with those of introductory students and physics faculty. Survey responses suggest that graduate students' attitudes about graduate-level problem solving sometimes has similar patterns to introductory-level problem solving by introductory students.
Solving LWE problem with bounded errors in polynomial time
International Association for Cryptologic Research (IACR)
Solving LWE problem with bounded errors in polynomial time Jintai Ding1,2 Southern Chinese call the learning with bounded errors (LWBE) problems, we can solve it with complexity O(nD ). Keywords, this problem corresponds to the learning parity with noise (LPN) problem. There are several ways to solve
A KnowledgeTheoretic Approach to Distributed Problem Solving
Woolridge, Mike
A KnowledgeTheoretic Approach to Distributed Problem Solving Michael Wooldridge Department.J.Wooldridge@qmw.ac.uk Abstract. Traditional approaches to distributed problem solving have treated the problem as one of distributed search. In this paper, we propose an alternative, logicbased view of distributed problem solv
A Knowledge-Theoretic Approach to Distributed Problem Solving
Woolridge, Mike
A Knowledge-Theoretic Approach to Distributed Problem Solving Michael Wooldridge Department.J.Wooldridge@qmw.ac.uk Abstract. Traditional approaches to distributed problem solving have treated the problem as one of distributed search. In this paper, we propose an alternative, logic-based view of distributed problem solv
Translation among Symbolic Representations in Problem-Solving. Revised.
ERIC Educational Resources Information Center
Shavelson, Richard J.; And Others
This study investigated the relationships among the symbolic representation of problems given to students to solve, the mental representations they use to solve the problems, and the accuracy of their solutions. Twenty eleventh-grade science students were asked to think aloud as they solved problems on the ideal gas laws. The problems were…
Cooperative problem solving in rooks (Corvus frugilegus).
Seed, Amanda M; Clayton, Nicola S; Emery, Nathan J
2008-06-22
Recent work has shown that captive rooks, like chimpanzees and other primates, develop cooperative alliances with their conspecifics. Furthermore, the pressures hypothesized to have favoured social intelligence in primates also apply to corvids. We tested cooperative problem-solving in rooks to compare their performance and cognition with primates. Without training, eight rooks quickly solved a problem in which two individuals had to pull both ends of a string simultaneously in order to pull in a food platform. Similar to chimpanzees and capuchin monkeys, performance was better when within-dyad tolerance levels were higher. In contrast to chimpanzees, rooks did not delay acting on the apparatus while their partner gained access to the test room. Furthermore, given a choice between an apparatus that could be operated individually over one that required the action of two individuals, four out of six individuals showed no preference. These results may indicate that cooperation in chimpanzees is underpinned by more complex cognitive processes than that in rooks. Such a difference may arise from the fact that while both chimpanzees and rooks form cooperative alliances, chimpanzees, but not rooks, live in a variable social network made up of competitive and cooperative relationships. PMID:18364318
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
An Assessment Model for a Design Approach to Technological Problem Solving
NSDL National Science Digital Library
Burtke, Barry N.
Education reform has focused increasingly on critical thinking processes, including problem solving and student assessment. Correspondingly, curriculum and professional development efforts are directed toward developing problem solving abilities through authentic learning and problem-based teaching methodologies. The development of problem solving abilities is pivotal to technological literacy. Problem solving is a critical thinking skill necessary for addressing issues related to technology and for developing effective solutions to practical problems. According to the Rationale and Structure for the Study of Technology (ITEA, 1996), technologically literate persons "are capable problem solvers who consider technological issues from different points of view and in relationship to a variety of contexts"(p. 11). Waetjen (1989) cited problem solving as an important skill necessary for optimizing technological innovation and for developing technological literacy. Whether for economic competitiveness (National Commission on Excellence in Education, 1983), technical means for survival (Savage & Sterry, 1990), or to develop common sense knowledge of technology and how it evolves to meet human needs (DeLuca, 1992), problem solving is deemed an essential skill for a productive life. With problem solving a major theme in technology education, there is a need for detailed assessments to determine how students solve problems and at what levels of expertise. This study sought to develop a model for assessing problem solving using a design approach to the study of technology. Target Audience: 2-4 Year College Faculty/Administrators
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...
NSDL National Science Digital Library
Al-Ubaidi, Muthar
The "lean" trend in business and industry is to expand capacity and quality while decreasing overall costs through continuous problem solving. More problems to solve, with fewer staff, places a premium on employees with problem solving skills. Universities excel at teaching technical topics and how to solve textbook problems within each technical discipline. However, little effort is directed to methods of problem solving for problems outside the textbook, even though this is becoming a major occupation of engineers in industry. Therefore it is important for engineering and technical programs to include more problem solving and project planning and management components in the curriculum. There are experts on structured methods of problem solving, some with extensive industry experience. These professionals can easily prove that a structured process will yield better solutions to problems than an off-the-wall approach, and that anyones problem solving skills can be improved. Similarly, most engineers spend much of their time involved in projects, but few have been trained in project planning and management by actually doing projects. Structured problem solving and project management are both skills that are learned more by actual practice than by textbook study. So it is necessary to incorporate significant project practice using both skills into curriculum as a part of normal course work. This paper will discuss the strategies and processes of curriculum enhancement for our manufacturing program, and investigate and integrate more practical industry-related components into the manufacturing curriculum.
Group Problem Solving as a Zone of Proximal Development activity
NASA Astrophysics Data System (ADS)
Brewe, Eric
2006-12-01
Vygotsky described learning as a process, intertwined with development, which is strongly influenced by social interactions with others that are at differing developmental stages.i These interactions create a Zone of Proximal Development for each member of the interaction. Vygotsky’s notion of social constructivism is not only a theory of learning, but also of development. While teaching introductory physics in an interactive format, I have found manifestations of Vygotsky’s theory in my classroom. The source of evidence is a paired problem solution. A standard mechanics problem was solved by students in two classes as a homework assignment. Students handed in the homework and then solved the same problem in small groups. The solutions to both the group and individual problem were assessed by multiple reviewers. In many cases the group score was the same as the highest individual score in the group, but in some cases, the group score was higher than any individual score. For this poster, I will analyze the individual and group scores and focus on three groups solutions and video that provide evidence of learning through membership in a Zone of Proximal Development. Endnotes i L. Vygotsky -Mind and society: The development of higher mental processes. Cambridge, MA: Harvard University Press. (1978).
Structured Collaboration versus Individual Learning in Solving Physics Problems
NASA Astrophysics Data System (ADS)
Harskamp, Egbert; Ding, Ning
2006-11-01
The research issue in this study is how to structure collaborative learning so that it improves solving physics problems more than individual learning. Structured collaborative learning has been compared with individual learning environments with Schoenfeld’s problem-solving episodes. Students took a pre-test and a post-test and had the opportunity to solve six physics problems. Ninety-nine students from a secondary school in Shanghai participated in the study. Students who learnt to solve problems in collaboration and students who learnt to solve problems individually with hints improved their problem-solving skills compared with those who learnt to solve the problems individually without hints. However, it was hard to discern an extra effect for students working collaboratively with hints—although we observed these students working in a more structured way than those in the other groups. We discuss ways to further investigate effective collaborative processes for solving physics problems.
18.S34 Problem Solving Seminar, Fall 2002
Stanley, Richard P., 1944-
This course is an undergraduate seminar on mathematical problem solving. It is intended for students who enjoy solving challenging mathematical problems and who are interested in learning various techniques and background ...
18.S34 Problem Solving Seminar, Fall 2004
Rogers, H. (Hartley), 1926-
This course,which is geared toward Freshmen, is an undergraduate seminar on mathematical problem solving. It is intended for students who enjoy solving challenging mathematical problems and who are interested in learning ...
Individual Differences within Problem-Solving Strategies Used in Physics.
ERIC Educational Resources Information Center
Dhillon, Amarjit Singh
1998-01-01
Explores the problem-solving behavior of a university lecturer as well as that of undergraduate and graduate students. Identifies and describes 14 physical and cognitive actions employed in the problem solving. Contains 28 references. (DDR)
ERIC Educational Resources Information Center
Becerra-Labra, Carlos; Gras-Marti, Albert; Torregrosa, Joaquin Martinez
2012-01-01
A model of teaching/learning is proposed based on a "problem-based structure" of the contents of the course, in combination with a training in paper and pencil problem solving that emphasizes discussion and quantitative analysis, rather than formulae plug-in. The aim is to reverse the high failure and attrition rate among engineering…
ERIC Educational Resources Information Center
Foshay, Wellesley R.
The topic of teaching troubleshooting is examined as an example of the teaching of cognitive strategies for technical problem solving. The traditional behavioral approach to teaching troubleshooting has essentially been algorithmic. Recent cognitive research suggests an approach founded first on task analysis and characterized by: (1) analysis of…
Solving mathematical problems with quantum search algorithm
Rubens Viana Ramos; Paulo Benicio de Sousa; David Sena Oliveira
2006-04-29
Quantum computation has attracted much attention since it was shown by Shor and Grover the possibility to implement quantum algorithms able to realize, respectively, factoring and searching in a faster way than any other known classical algorithm. It is possible to use Grover algorithm, taking profit of its ability to find a specific value in a unordered database, to find, for example, the zero of a logical function; the minimal or maximal value in a database or to recognize if an odd number is prime or not. Here we show quantum algorithms to solve those cited mathematical problems. The solution requires the use of a quantum bit string comparator being used as oracle. This quantum circuit compares two quantum states and identifies if they are equal or, otherwise, which of them is the largest. Moreover, we also show the quantum bit string comparator allow us to implement conditional statements in quantum computation, a fundamental structure for designing of algorithms.
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"…
Sex differences, sex composition, and group problem solving
L. R. Hoffman; N. R. F. Maier
1961-01-01
Males and females solved Maier's (1952) horse trading problem while working alone or in groups. Men tended to solve the problem better individually but also to profit from group discussion. Women in mixed groups seemed better motivated to solve the problem than those in groups composed of all females.
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…
Using Qualitative Representations in Controlling Engineering Problem Solving1
Forbus, Kenneth D.
1 Using Qualitative Representations in Controlling Engineering Problem Solving1 Yusuf Pisan y Ave. STE 300 Evanston, IL 60201-3150 (847) 491-7698 Abstract Engineering problem solving requires both in the domain of engineering thermodynamics. TPS to date has solved over 30 problems, and its solutions
Solving the University Class Scheduling Problem Using Advanced ILP Techniques
Aloul, Fadi
Solving the University Class Scheduling Problem Using Advanced ILP Techniques Ahmed Wasfy and Fadi and algorithms have been proposed to solve scheduling problems, most of which are based on local search the problem. The ILP model of interest is developed and solved using the three advanced ILP solvers based
Solving convex problems involving powers using conic optimization
Glineur, FranÃ§ois
Solving convex problems involving powers using conic optimization and a new self-concordant barrier CFG 07 Heidelberg University CFG 07 Solving convex problems involving powers using conic optimization remarks Future plans CFG 07 Solving convex problems involving powers using conic optimization 2 #12
Observations of Collaborative Behavior in COMPS Computer Mediated Problem Solving
Luther, Ken
Observations of Collaborative Behavior in COMPS Computer Mediated Problem Solving Jung Hee Kim.glass @valpo.edu Abstract COMPS is a web-delivered computer-mediated problem solving environment for student in the problem-solving process. These observations confirm that COMPS indeed fa- cilitates true collaborative
Curriculum and Program Development 177 Modeling and Problem Solving
Peszynska, Malgorzata
@math.oregonstate.edu Introduction Mathematical modeling can be defined, arguably, as "word-problem solving." In this chapter, we] that experience in mathematical modeling and in- terdisciplinary problem solving is important (at least) for (i in mathematical modeling), would agree that to solve problems, it is manda- tory to know the basic mathematics
Enhancing Mathematical Problem Solving for Students with Disabilities
ERIC Educational Resources Information Center
Fuchs, Lynn S.; Fuchs,Douglas
2005-01-01
This article focuses on the research program on mathematical problem solving conducted by the Center on Accelerating Student Learning (CASL). First, a subset of CASL themes, illustrated in the mathematical problem-solving studies, is highlighted. Then, the theoretical underpinnings of the mathematical problem-solving intervention methods are…
Problem Solving in the School Curriculum from a Design Perspective
ERIC Educational Resources Information Center
Toh, Tin Lam; Leong, Yew Hoong; Dindyal, Jaguthsing; Quek, Khiok Seng
2010-01-01
In this symposium, the participants discuss some preliminary data collected from their problem solving project which uses a design experiment approach. Their approach to problem solving in the school curriculum is in tandem with what Schoenfeld (2007) claimed: "Crafting instruction that would make a wide range of problem-solving strategies…
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,…
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…
The Influence of Cognitive Abilities on Mathematical Problem Solving Performance
ERIC Educational Resources Information Center
Bahar, Abdulkadir
2013-01-01
Problem solving has been a core theme in education for several decades. Educators and policy makers agree on the importance of the role of problem solving skills for school and real life success. A primary purpose of this study was to investigate the influence of cognitive abilities on mathematical problem solving performance of students. The…
Solving Complex Problems: A Convergent Approach to Cognitive Load Measurement
ERIC Educational Resources Information Center
Zheng, Robert; Cook, Anne
2012-01-01
The study challenged the current practices in cognitive load measurement involving complex problem solving by manipulating the presence of pictures in multiple rule-based problem-solving situations and examining the cognitive load resulting from both off-line and online measures associated with complex problem solving. Forty-eight participants…
Future Problem Solving: Preparing Students for Today and Tomorrow.
ERIC Educational Resources Information Center
Hoomes, Eleanor W.
1984-01-01
The Future Problem Solving Program, designed by E. Paul and Pansy Torrance, is now developing problem-solving skills of 100,000 gifted children in grades 4-12 throughout the United States. The program design, six-step approach to problem solving, scenario writing, and evaluation are briefly explained. (MC)
INDIVIDUAL DIFFERENCES IN PROBLEM SOLVING PROCESSES OF COLLEGE STUDENTS.
ERIC Educational Resources Information Center
FOREHAND, GARLIE A.
MENTAL ABILITY CAN BE MEASURED BY THE PROBLEM-SOLVING PROCESS RATHER THAN BY THE NUMBER OF CORRECT SOLUTIONS. THE OBJECTIVES OF THIS STUDY ARE--(1) TO DEVELOP AND STUDY PROPERTIES OF MEASUREMENT TECHNIQUES WHICH REVEAL THE PROBLEM-SOLVING PROCESS, (2) TO DEVELOP WAYS OF DESCRIBING INDIVIDUALS THROUGH THEIR PROBLEM-SOLVING PROCESSES, AND (3) TO…
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…
ERIC Educational Resources Information Center
Sullivan, Gary E.
This study examined the effects of specially designed thinking journal activities that have been attributed with encouraging reflective thinking, on instruction using generic, or content-free, problem solving software. Sixty-three fourth grade students participated in four instructional sessions using the software package called "Moptown Hotel."…
ERIC Educational Resources Information Center
Santi, Terri
This book contains a classroom-tested approach to the teaching of problem solving to all students in Grades 6-8, regardless of ability. Information on problem solving in general is provided, then mathematical problems on logic, exponents, fractions, pre-algebra, algebra, geometry, number theory, set theory, ratio, proportion, percent, probability,…
NASA Astrophysics Data System (ADS)
Caruthers, Heather Anne
Analysis of the effect of course structure, including motivational tools, laboratory and how problem solving was presented in lecture on students' exam performance, attitudes toward the subject of chemistry, and problem solving strategy use. Exam performance indicates that the use of ressurection points on the final exam benefits students' learning, especially for the Middle Bottom quartile of students. Laboratory improves students' understanding when the exams correspond to laboratory content. Attitude differences, as measured by the Attitude toward the subject of chemistry inventory version 2, show some differences and the influence of the level of expertise in graduate student teaching assistants. The use of dimensional analysis to solve stoichiometry problems in lecture leads students to use that process to solve novel tasks in a similiar way, even if it is not efficient or effective. The students' familiarity with the content, as well as the problem solving process, influence how they solve tasks.
Problem Orientation in Physical Geography Teaching.
ERIC Educational Resources Information Center
Church, Michael
1988-01-01
States that the introduction of real, quantitative problems in classroom and field teaching improves scientific rigor and leads more directly to applied studies. Examines the use of problems in an introductory hydrology course, presenting teaching objectives and the full course structure to illustrate their integration with other teaching modes.…
A Collection of Problems for Physics Teaching
ERIC Educational Resources Information Center
Grober, S.; Jodl, H. -J.
2010-01-01
Problems are an important instrument for teachers to mediate physics content and for learners to adopt this content. This collection of problems is not only suited to traditional teaching and learning in lectures or student labs, but also to all kinds of new ways of teaching and learning, such as self-study, long-distance teaching,…
Idea Focusing versus Idea Generating: A Course for Teachers on Inventive Problem Solving
ERIC Educational Resources Information Center
Barak, Moshe
2009-01-01
This paper deals with a course intended to teach individuals a method of convergent thinking, or "idea focusing", in seeking inventive solutions to problems and designing innovative artefacts. The course participants (mathematics, science, or technology teachers) learned a range of "inventive principles" often used for problem-solving in…
Mathematical Practice 1. Make Sense of Problems and Persevere in Solving Them
NSDL National Science Digital Library
2014-01-01
This 5-minute video of a fourth grade classroom depicts the teaching strategy of modeling the four step problem solving process during direct instruction. The narrator, Robin Silby, states that learners will benefit from frequently thinking and talking aloud as a group to understand the important information so they can make sense of the problem.
Solving the Vehicle Routing Problem with Genetic Algorithms
Solving the Vehicle Routing Problem with Genetic Algorithms Ãslaug SÃ³ley BjarnadÃ³ttir April 2004 Algorithms are used to solve the Capacitated Vehicle Routing Problem. The problem involves optimising a fleet.1 The Vehicle Routing Problem . . . . . . . . . . . . . . . . . . . . . . . . . 13 2.1.1 The Problem
Teaching Critical Thinking and Problem Solving Skills
ERIC Educational Resources Information Center
Snyder, Lisa Gueldenzoph; Snyder, Mark J.
2008-01-01
Critical thinking is a learned skill that requires instruction and practice. Business education instructors at both the secondary and post-secondary levels can enhance students' critical thinking skills by (1) using instructional strategies that actively engage students in the learning process rather than relying on lecture and rote memorization,…
Teaching with Technology. Problem-Solving Strategies.
ERIC Educational Resources Information Center
Allen, Denise
1996-01-01
Reviews two CD-ROMS and one computer game: "Explore Yellowstone," science activities on CD to earn badges toward becoming a ranger; "Oval Office: Challenge of the Presidency," in which students role play presidential responsibilities such as proposing budgets; and "Strategy Games of the World," in which students match their skills against game…
Research and Teaching: Problem Solving in Science.
ERIC Educational Resources Information Center
Niaz, Mansoor
1993-01-01
Reviews current research in the application of the Neo-Piagetian theory of Pascual-Leone and shows how it provides the science teacher new implements. Hypothesizes that the role of the environment and creativity, if emphasized adequately, can help make science instruction more effective. (Contains 45 references.) (PR)
Children use salience to solve coordination problems.
Grueneisen, Sebastian; Wyman, Emily; Tomasello, Michael
2015-05-01
Humans are routinely required to coordinate with others. When communication is not possible, adults often achieve this by using salient cues in the environment (e.g. going to the Eiffel Tower, as an obvious meeting point). To explore the development of this capacity, we presented dyads of 3-, 5-, and 8-year-olds (N = 144) with a coordination problem: Two balls had to be inserted into the same of four boxes to obtain a reward. Identical pictures were attached to three boxes whereas a unique--and thus salient--picture was attached to the fourth. Children either received one ball each, and so had to choose the same box (experimental condition), or they received both balls and could get the reward independently (control condition). In all cases, children could neither communicate nor see each other's choices. Children were significantly more likely to choose the salient option in the experimental condition than in the control condition. However, only the two older age groups chose the salient box above chance levels. This study is the first to show that children from at least age 5 can solve coordination problems by converging on a salient solution. PMID:25066201
Technological and Personal Problem Solving Styles: Is there a Difference?
NSDL National Science Digital Library
Custer, Rodney L.
Problem solving, and technological problem solving in particular, is clearly a critical survival skill in our technologically advanced world. Government, business, vocational and technology education leaders have increasingly called for more emphasis on higher-order thinking skills and problem solving in both general and technological areas. The American technology education profession has identified problem solving as the technological method (Savage & Sterry, 1990). Authors outside technology education have also suggested that both general and technology teachers would be well advised to focus on enhancing problem solving skills. Given this, the authors sought to examine several key aspects of problem solving in more depth. Of these, the first was problem solving style. Problem-solving style is defined as a tendency to respond in a certain way while addressing problems and not as the steps employed in actually solving the problem. It has been operationally defined by Heppner (1988) in terms of three distinct dimensions which can be measured by the Problem Solving Inventory (PSI). Collectively, these dimensions (problem-solving confidence, approach/avoidance, and personal control) comprise problem-solving style. Although many educators claim to address problem solving, if the increasing frequency of mention in the literature is to be believed, the portion of citizens who have developed adequate problem solving capabilities is insufficient. It is no coincidence that this inadequacy is occurring at the same time when our society is experiencing a decrease in technological literacy. This problem is all the more critical given that the pace of technological growth is escalating (Dyrenfurth, 1991; Johnson, 1989). Target Audience: 2-4 Year College Faculty/Administrators
A General Architecture for Intelligent Tutoring of Diagnostic Classification Problem Solving
Crowley, Rebecca S.; Medvedeva, Olga
2003-01-01
We report on a general architecture for creating knowledge-based medical training systems to teach diagnostic classification problem solving. The approach is informed by our previous work describing the development of expertise in classification problem solving in Pathology. The architecture envelops the traditional Intelligent Tutoring System design within the Unified Problem-solving Method description Language (UPML) architecture, supporting component modularity and reuse. Based on the domain ontology, domain task ontology and case data, the abstract problem-solving methods of the expert model create a dynamic solution graph. Student interaction with the solution graph is filtered through an instructional layer, which is created by a second set of abstract problem-solving methods and pedagogic ontologies, in response to the current state of the student model. We outline the advantages and limitations of this general approach, and describe it’s implementation in SlideTutor–a developing Intelligent Tutoring System in Dermatopathology. PMID:14728159
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.
Comet Polarimetry: Solved Problems and New Mysteries
NASA Astrophysics Data System (ADS)
Kolokolova, L.
2011-11-01
Comets are objects of particular interest as relics of the epoch of solar-system formation which preserve materials as they were in the protosolar nebula. It is well known that the light from comets is polarized due to the scattering of sunlight on cometary dust particles. The polarization shows smooth dependencies on scattering (phase) angle and wavelength, which can be used to reveal the properties of comet dust and, thus, to shed light on conditions in the early solar system when comets were formed. The last decade was very fruitful in comet polarimetry and many longstanding problems have been solved. The main progress was achieved by modeling comet dust as an ensemble of large aggregates of submicron particles. This model allowed us not only to explain the angular and spectral dependence of comet polarization but also to reproduce correctly the comet dust albedo, color, angular change in brightness, and thermal emission spectrum. The combination of polarimetric and thermal data appeared to be especially successful. It allowed us to answer a longstanding question of why there are two types of comets, with high (?25%) and low (?15%) maximum polarization, and to connect this difference with the orbital characteristics of the comets and, finally, with their age and formation region. Although many of the problems in comet polarimetry have been solved, new data on the wavelength dependence of polarization revealed a new mystery: two new types of comets: one with polarization degree that increases with wavelength and the other with polarization degree that decreases with wavelength. A tentative explanation of this phenomenon can be related to a specific of the structure of aggregates dust particles. Another interesting mystery is comet circular polarization. It has recently become possible to observe comet circular polarization with high accuracy and spatial resolution. Circular polarization has been detected in recent bright comets at the level 0.1 - 2%. It has been found changing smoothly with phase angle and distance from the nucleus. This paper discusses possible explanations of comet circular polarization, including scattering of light by homochiral organic molecules embedded in comet dust particles.
ERIC Educational Resources Information Center
Dufner, Hillrey A.; Alexander, Patricia A.
The differential effects of two different types of problem-solving training on the problem-solving abilities of gifted fourth graders were studied. Two successive classes of gifted fourth graders from Weslaco Independent School District (Texas) were pretested with the Coloured Progressive Matrices (CPM) and Thinking Creatively With Pictures…
Cognitive Strategy Instruction for Teaching Word Problems to Primary-Level Struggling Students
ERIC Educational Resources Information Center
Pfannenstiel, Kathleen Hughes; Bryant, Diane Pedrotty; Bryant, Brian R.; Porterfield, Jennifer A.
2015-01-01
Students with mathematics difficulties and learning disabilities (LD) typically struggle with solving word problems. These students often lack knowledge about efficient, cognitive strategies to utilize when solving word problems. Cognitive strategy instruction has been shown to be effective in teaching struggling students how to solve word…
Learning Nucleic Acids Solving by Bioinformatics Problems
ERIC Educational Resources Information Center
Nunes, Rhewter; de Almeida Júnior, Edivaldo Barbosa; de Menezes, Ivandilson Pessoa Pinto; Malafaia, Guilherme
2015-01-01
The article describes the development of a new approach to teach molecular biology to undergraduate biology students. The 34 students who participated in this research belonged to the first period of the Biological Sciences teaching course of the Instituto Federal Goiano at Urutaí Campus, Brazil. They were registered in Cell Biology in the first…
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 the Traveling Tournament Problem with Heuristic Search
Vetter, Thomas
Solving the Traveling Tournament Problem with Heuristic Search Bachelor's thesis University.duerrenberger@stud.unibas.ch February 9th, 2015 #12;Abstract This thesis discusses the Traveling Tournament Problem and how it can be solved with heuristic search. The Traveling Tournament problem is a sports scheduling problem where one
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…
A simple level set method for solving Stefan problems
Chen, S. [Carnegie Mellon Univ., Pittsburgh, PA (United States)] [Carnegie Mellon Univ., Pittsburgh, PA (United States); Merriman, B.; Osher, S. [Univ. of California, Los Angeles, CA (United States)] [Univ. of California, Los Angeles, CA (United States); Smereka, P. [Univ. of Michigan, Ann Arbor, MI (United States)] [Univ. of Michigan, Ann Arbor, MI (United States)
1997-07-15
Discussed in this paper is an implicit finite difference scheme for solving a heat equation and a simple level set method for capturing the interface between solid and liquid phases which are used to solve Stefan problems.
Solving the Sports League Scheduling Problem with Tabu Search
Hao, Jin-Kao
of this type. 1 Introduction Many sports leagues (e.g. soccer, hockey, basketball) must deal with scheduling, not able to solve problems as large as those which Régin solved with his second approach. The goal
An Assessment of Problem Solving Processes in Undergraduate Statics
NSDL National Science Digital Library
Four well-articulated models that offer structured approaches to problem solving were identified in the engineering research literature. These models provided a conceptual base for the study reported here. Four undergraduates enrolled in statics and two engineering faculty members provided think-aloud data as they solved two statics problems. The data were used to develop a coding system for characterizing engineering students behavioral and cognitive processes. These codes were used to analyze students problem solving procedures in a detailed manner, particularly differences between good and not-so-good problem solvers. The analyses provide a picture of how students and faculty solve problems at a cognitive level, and indicate that published problem-solving models are incomplete in describing actual problem-solving processes.
Computer Based Collaborative Problem Solving for Introductory Courses in Physics
NASA Astrophysics Data System (ADS)
Ilie, Carolina; Lee, Kevin
2010-03-01
We discuss collaborative problem solving computer-based recitation style. The course is designed by Lee [1], and the idea was proposed before by Christian, Belloni and Titus [2,3]. The students find the problems on a web-page containing simulations (physlets) and they write the solutions on an accompanying worksheet after discussing it with a classmate. Physlets have the advantage of being much more like real-world problems than textbook problems. We also compare two protocols for web-based instruction using simulations in an introductory physics class [1]. The inquiry protocol allowed students to control input parameters while the worked example protocol did not. We will discuss which of the two methods is more efficient in relation to Scientific Discovery Learning and Cognitive Load Theory. 1. Lee, Kevin M., Nicoll, Gayle and Brooks, Dave W. (2004). ``A Comparison of Inquiry and Worked Example Web-Based Instruction Using Physlets'', Journal of Science Education and Technology 13, No. 1: 81-88. 2. Christian, W., and Belloni, M. (2001). Physlets: Teaching Physics With Interactive Curricular Material, Prentice Hall, Englewood Cliffs, NJ. 3. Christian,W., and Titus,A. (1998). ``Developing web-based curricula using Java Physlets.'' Computers in Physics 12: 227--232.
1 Problem Solving: How do you do it? Classic example is the Tower of Hanoi problem
O'Reilly, Randall C.
1 Problem Solving: How do you do it? Classic example is the Tower of Hanoi problem: Initial State state. 3 Problem Solving Heuristics Brute force search: explore entire problem space. Hill climbing away from the goal for a bit, it will eventually solve the problem. This is a problem for people too
Pedagogy and/or technology: Making difference in improving students' problem solving skills
NASA Astrophysics Data System (ADS)
Hrepic, Zdeslav; Lodder, Katherine; Shaw, Kimberly A.
2013-01-01
Pen input computers combined with interactive software may have substantial potential for promoting active instructional methodologies and for facilitating students' problem solving ability. An excellent example is a study in which introductory physics students improved retention, conceptual understanding and problem solving abilities when one of three weekly lectures was replaced with group problem solving sessions facilitated with Tablet PCs and DyKnow software [1,2]. The research goal of the present study was to isolate the effect of the methodology itself (using additional time to teach problem solving) from that of the involved technology. In Fall 2011 we compared the performance of students taking the same introductory physics lecture course while enrolled in two separate problem-solving sections. One section used pen-based computing to facilitate group problem solving while the other section used low-tech methods for one third of the semester (covering Kinematics), and then traded technologies for the middle third of the term (covering Dynamics). Analysis of quiz, exam and standardized pre-post test results indicated no significant difference in scores of the two groups. Combining this result with those of previous studies implies primacy of pedagogy (collaborative problem solving itself) over technology for student learning in problem solving recitations.
ERIC Educational Resources Information Center
Yeotis, Catherine; Hosticka, Alice
1980-01-01
Described is a three-phase model for teaching problem solving to the middle school student. Phases include cue attendance, thinking aloud, and developing diagrams of steps to solutions. Because middle school students are in a transitional period in their cognitive processes, implementation of problem solving skills seems appropriate. (Author/DS)
ERIC Educational Resources Information Center
de Kock, Willem D.; Harskamp, Egbert G.
2014-01-01
Teachers in primary education experience difficulties in teaching word problem solving in their mathematics classes. However, during controlled experiments with a metacognitive computer programme, students' problem-solving skills improved. Also without the supervision of researchers, metacognitive computer programmes can be beneficial in a…
ERIC Educational Resources Information Center
Rockwell, Sarah B.; Griffin, Cynthia C.; Jones, Hazel A.
2011-01-01
The purpose of this study was to provide preliminary results on the use of schema-based strategy instruction to teach addition and subtraction word problem solving to a fourth grade student with autism. The student was taught to use schematic diagrams to solve three types of addition and subtraction word problems. A multiple probes across…
Published in Educacion Quimica, 2005, 16(2), 222-229 A CULTURAL APPROACH TO PROBLEM SOLVING
Bodner, George M.
to solve problems they encounter in undergraduate chemistry courses. Our work has spanned the breadth of the sub-disciplines of chemistry, from organic chemistry to physical chemistry. This paper will begin of this difference should inform teaching and the evaluation of the various models of problem solving that have been
Solving belief problems: toward a task analysis.
Roth, D; Leslie, A M
1998-04-01
Solving belief problems develops as a skill in normal children during the preschool years. To understand this process of development, it is necessary to provide an analysis of the tasks used to test preschool 'theory of mind' skills. This analysis should allow us to relate the structure of a given task to the underlying cognitive mechanisms that the task engages. In two experiments, we find that 3-year-old children show a pattern of success and failure on belief tasks that is not consistent with 'conceptual deficit' accounts. Young children possess the concept, BELIEF, but have certain characteristic difficulties with correctly calculating the contents of beliefs. In childhood autism, by contrast, the mechanisms that in normal development bestow conceptual competence in this domain are impaired. In the first experiment, parallel task structures are used to show that 3-year-olds are no better at predicting behavior from a partially true belief than they are at predicting behavior from an entirely false belief. We develop specific proposals about task structural factors that either facilitate or hinder success in belief-content calculation. These proposals are supported in a second experiment. We compare two false-belief tasks, one of which has helpful structural factors, the other of which has hampering factors, with a third task which exemplifies a hampering task structure but without any theory of mind content. We compare 3- and 4-year-olds' patterns of performance with that of autistic children. Each of the three groups shows a distinct performance profile across the three tasks, as predicted for each case by our model. Innate attentional mechanisms provide the conceptual foundations for 'theory of mind' but must be supplemented by a robust executive process that allows false beliefs to achieve 'conceptual pop-out.' Our approach has general implications for the study of conceptual development. PMID:9675976
Solving a transport equation with OpenCL Solving the shock tube problem with OpenCL
Helluy, Philippe
OpenCL Solving a transport equation with OpenCL Solving the shock tube problem with Open Introduction à OpenCL #12;OpenCL Solving a transport equation with OpenCL Solving the shock tube problem with OpenCL Sommaire 1 OpenCL 2 Solving a transport equation with OpenCL 3 Solving the shock tube problem