Gregory Interpolation: A Trick for Problem Solvers from Out of the Past

1983 ◽  
Vol 76 (5) ◽  
pp. 323-325
Author(s):  
Calvin T. Long
Keyword(s):  
Problem Solving ◽  
The Past ◽  
Successful Student ◽  
Teachers And Students ◽  
Problem Solvers

How to solve it—that's the question! And a very important question it is for today's teachers and students of mathematics. But problem solving has always been at the very heart of mathematics, and the successful student cannot have too many tricks up his or her sleeve to accomplish the task. Suppose you were confronted with any of the following three problems; how would you proceed?

The Writing Process: A Strategy for Problem Solvers

1990 ◽  
Vol 38 (3) ◽  
pp. 35-38
Author(s):  
Margaret I. Ford
Keyword(s):  
Problem Solving ◽  
Word Problems ◽  
Writing Process ◽  
School Mathematics ◽  
Problem Solver ◽  
Educational Progress ◽  
National Assessment ◽  
The Past ◽  
Mathematics Educators ◽  
Problem Solvers

Over the past decade, mathematics educators have promoted problem solving as the goal of school mathematics. Yet in 1987, the National Assessment of Educational Progress revealed that our nation's schoolchildren are still falling short of our goals for their problem solving abilities. Many students dislike word problems in mathematics, and many teachers report feeling frustration and discouragement in helping their students learn how to solve such problems (Ford 1988). What can teachers do to improve students' attitude toward problem solving and to realize the goal of helping students become better problem solver?

Innovation in Curriculum: Fostering Student Discourse: Don't Ask Me! I'm Just the Teacher!

2001 ◽  
Vol 7 (4) ◽  
pp. 218-221
Author(s):  
Jeffrey A. Frykholm ◽  
Mary E. Pittman
Keyword(s):  
Critical Thinking ◽  
Problem Solving ◽  
Middle Grades ◽  
Learning Theories ◽  
Significant Shift ◽  
Mathematical Communication ◽  
The Past ◽  
Mathematical Connections ◽  
Teachers And Students ◽  
Mathematics Curricula

Throughout the past several years, middle-grades mathematics curricula have undergone a significant shift. Recently developed curriculum programs based on both recommendations of the NCTM and contemporary learning theories now emphasize problem solving, critical thinking, mathematical connections, and mathematical communication in ways that they did not before. As these powerful curriculum programs continue to find a stronghold in our middle schools, new implications and roles for both teachers and students are becoming clear.

Truth Matters: Cognitive Integrity as an Intervention for Self-Deception

2017 ◽  
Author(s):  
Eugenia Isabel Gorlin ◽  
Michael W. Otto
Keyword(s):  
Decision Making ◽  
Problem Solving ◽  
Autonomous Agents ◽  
Therapeutic Interventions ◽  
Empirical Validation ◽  
The Past ◽  
Adaptive Problem

To live well in the present, we take direction from the past. Yet, individuals may engage in a variety of behaviors that distort their past and current circumstances, reducing the likelihood of adaptive problem solving and decision making. In this article, we attend to self-deception as one such class of behaviors. Drawing upon research showing both the maladaptive consequences and self-perpetuating nature of self-deception, we propose that self-deception is an understudied risk and maintaining factor for psychopathology, and we introduce a “cognitive-integrity”-based approach that may hold promise for increasing the reach and effectiveness of our existing therapeutic interventions. Pending empirical validation of this theoretically-informed approach, we posit that patients may become more informed and autonomous agents in their own therapeutic growth by becoming more honest with themselves.

Systems thinking, a consilience of values and logic

2005 ◽  
Vol 24 (4) ◽  
pp. 259-274
Author(s):  
Sameer Kumar ◽  
Thomas Ressler ◽  
Mark Ahrens
Keyword(s):  
Decision Making ◽  
Problem Solving ◽  
Systems Thinking ◽  
Qualitative Reasoning ◽  
Colleges And Universities ◽  
Decision Makers ◽  
Modern World ◽  
Problem Solving Process ◽  
Problem Solvers

This article is an appeal to incorporate qualitative reasoning into quantitative topics and courses, especially those devoted to decision-making offered in colleges and universities. Students, many of whom join professional workforce, must become more systems thinkers and decision-makers than merely problem-solvers. This will entail discussion of systems thinking, not just reaching “the answer”. Managers will need to formally and forcefully discuss objectives and values at each stage of the problem-solving process – at the start, during the problem-solving stage, and at the interpretation of the results stage – in order to move from problem solving to decision-making. The authors suggest some methods for doing this, and provide examples of why doing so is so important for decision-makers in the modern world.

Good problem solvers? Leveraging knowledge sharing mechanisms and management support

2019 ◽  
Vol 23 (6) ◽  
pp. 1017-1038 ◽  
Author(s):  
Ambra Galeazzo ◽  
Andrea Furlan
Keyword(s):  
Transformational Leadership ◽  
Problem Solving ◽  
Knowledge Sharing ◽  
Hierarchical Linear Modeling ◽  
Shop Floor ◽  
Management Support ◽  
Linear Modeling ◽  
Content Type ◽  
Problem Solvers ◽  
Good Problem

Purpose Organizational learning relies on problem-solving as a way to generate new knowledge. Good problem solvers should adopt a problem-solving orientation (PSO) that analyzes the causes of problems to arrive at an effective solution. The purpose of this paper is to investigate this relevant, though underexplored, topic by examining two important antecedents of PSO: knowledge sharing mechanisms and transformational leaders’ support. Design/methodology/approach Hierarchical linear modeling analyses were performed on a sample of 131 workers in 12 plants. A questionnaire was designed to collect data from shop-floor employees. Knowledge sharing was measured using the mechanisms of participative practices and standardized practices. Management support was assessed based on the extent to which supervisors engaged in transformational leadership. Findings Knowledge sharing mechanisms are an antecedent of PSO behavior, but management support measured in terms of transformational leadership is not. However, transformational leadership affects the use of knowledge sharing mechanisms that, in turn, is positively related to PSO behavior. Practical implications The research provides practical guidance for practitioners to understand how to manage knowledge in the workplace to promote employees’ PSO behaviors. Originality/value Though problem-solving activities are intrinsic in any working context, PSO is still very much underrepresented and scarcely understood in knowledge management studies. This study fills this gap by investigating the antecedents of PSO behavior.

scholarly journals Thinking Process of Naive Problem Solvers to Solve Mathematical Problems

2016 ◽  
Vol 10 (1) ◽  
pp. 1 ◽  
Author(s):  
Jackson Pasini Mairing
Keyword(s):  
Problem Solving ◽  
Procedural Knowledge ◽  
Mental Image ◽  
Research Subjects ◽  
Maximum Score ◽  
Mathematical Problems ◽  
Problem Solving Strategies ◽  
Thinking Process ◽  
Problem Solvers ◽  
Holistic Rubric

Solving problem is not only a goal of mathematical learning. Students acquire ways of thinking, habits of persistence and curiosity, and confidence in unfamiliar situations by learning to solve problems. In fact, there were students who had difficulty in solving problems. The students were naive problem solvers. This research aimed to describe the thinking process of naive problem solvers based on heuristic of Polya. The researcher gave two problems to students at grade XI from one of high schools in Palangka Raya, Indonesia. The research subjects were two students with problem solving scores of 0 or 1 for both problems (naive problem solvers). The score was determined by using a holistic rubric with maximum score of 4. Each subject was interviewed by the researcher separately based on the subject’s solution. The results showed that the naive problem solvers read the problems for several times in order to understand them. The naive problem solvers could determine the known and the unknown if they were written in the problems. However, they faced difficulties when the information in the problems should be processed in their mindsto construct a mental image. The naive problem solvers were also failed to make an appropriate plan because they did not have a problem solving schema. The schema was constructed by the understanding of the problems, conceptual and procedural knowledge of the relevant concepts, knowledge of problem solving strategies, and previous experiences in solving isomorphic problems.

Effectiveness of a Problem-Solving Training Program

1995 ◽  
Vol 76 (2) ◽  
pp. 507-514 ◽  
Author(s):  
Johan W. Wege ◽  
André T. Möller
Keyword(s):  
Problem Solving ◽  
Training Program ◽  
Undergraduate Students ◽  
Internal Control ◽  
Self Efficacy ◽  
Group Analysis ◽  
External Control ◽  
Problem Solving Skills ◽  
Control Orientation ◽  
Problem Solvers

The relationship between problem-solving efficiency, defined in terms of the quality of alternative soludons selected, and measures of behavioral competence (self-efficacy and locus of control) was investigated as well as the effectiveness of a problem-solving training program. Subjects were 29 undergraduate students assigned to an effective ( n = 16) and an ineffective ( n = 13) problem-solving group. Analysis indicated that the ineffective problem-solvers appraised their problem-solving skills more negatively and reported low self-efficacy expectations and an external control orientation. Problem-solving training led to improved general self-efficacy expectancies, greater confidence in problem-solving, a more internal control orientation, and improved problem-solving skills. These improvements were maintained at follow-up after two months.

Republican conception of liberty in early republican Turkey and its contemporary implications

2015 ◽  
Vol 42 (4-5) ◽  
pp. 429-439
Author(s):  
Boğaç Erozan
Keyword(s):  
Problem Solving ◽  
Ample Evidence ◽  
Republican Period ◽  
Initial Failure ◽  
The Past ◽  
Political Problem ◽  
The Republic ◽  
Early Republican

Established in 1923, Turkey has been a republic without a dominant republican conception of liberty. A chance to install such a conception was missed in the early republican period and never recaptured. The republic was unable to get rid of vestiges of the authoritarian tradition of the past. Centuries-old authoritarian tradition persisted well into the recent and the contemporary periods. Presenting ample evidence, the article underlines the weight of history and the legacy of authoritarian mentality that promoted the use of authority, not liberty, in political problem-solving. The initial failure to abandon an authoritarian problem-solving approach proved fateful for the chances of the deepening of democracy in Turkey.

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