Problem Solving and Mathematical Beliefs

1988 ◽  
Vol 35 (5) ◽  
pp. 32-34 ◽  
Author(s):  
Martha L. Frank

A frequently asked question in the decade since problem solving has become a popular topic in mathematics education is “How can we get students to become better problem solvers?” Answers to this question have focused on such in structional techniques as the introduction of problem-problemsolving strategies (“heuristics”), Polya's four-step method, or even the teaching of computer programming languages such as Logo or BASIC.

2015 ◽  
Vol 1 (3) ◽  
pp. 69
Author(s):  
Arjan Skuka

Despite the fact that introductory programming courses (IPCs) are taught at universities for more than thirty years, students still find computer programming very difficult to learn. Programming pedagogy deals with the methods and principles of teaching and learning computer programming. The programming pedagogical approaches that have been proposed to increase the efficiency of teaching and learning computer programming mostly focus on the tools, paradigms, programming languages and environments used in IPCs. To increase significantly the students’ success rates in IPCs, these approaches should be complemented with pedagogical explanation (PE) methods. This research is focused on a PE method of teaching sequential search of a matrix row (SSMR). The research was designed as experimental study with pretest-posttest control group model, involving students of Computer Engineering department Izmir University. While the experimental group was subjected to a pedagogical explanation method, a traditional explanation method was applied in the control group. To collect the research data, an achievement pretest, posttest and a questionnaire were developed and applied. The research findings showed the effectiveness of teaching SSMR by using a PE method. This method positively influenced students’ level of topic comprehension, which consequently improved their achievements. In order for students to understand better the other matrix programming operations, similar PE methods should be developed and used in IPCs. On a more general level, the results of this research suggested that PE methods should be developed and used for other topics that students usually find difficult to understand in IPCs. Using these methods can be a very important factor in significantly increasing students’ success in IPCs.


2005 ◽  
Vol 24 (4) ◽  
pp. 259-274
Author(s):  
Sameer Kumar ◽  
Thomas Ressler ◽  
Mark Ahrens

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.


2019 ◽  
Vol 23 (6) ◽  
pp. 1017-1038 ◽  
Author(s):  
Ambra Galeazzo ◽  
Andrea Furlan

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.


2016 ◽  
Vol 10 (1) ◽  
pp. 1 ◽  
Author(s):  
Jackson Pasini Mairing

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.


1995 ◽  
Vol 76 (2) ◽  
pp. 507-514 ◽  
Author(s):  
Johan W. Wege ◽  
André T. Möller

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.


Author(s):  
Ana Queli Reis ◽  
Cátia Maria Nehring

Resumo Este artigo objetiva apresentar um panorama sobre a contextualização através de uma meta análise de pesquisas que tratam deste conceito. Consideramos pesquisas que abordam a contextualização a partir de sua proposição pelas políticas públicas, através de documentos, livros didáticos e avaliações, bem como as concepções e práticas desenvolvidas por professores e pesquisadores da educação matemática. As análises evidenciam um distanciamento entre o que é compreendido epistemologicamente e a prática em sala de aula. A fragilidade de entendimentos sobre o que é contextualização tem limitado o ensino à resolução de problemas e aplicação, simplificando conceitos no processo de ensino e aprendizagem por não enfatizarem o processo de abstração decorrente da contextualização. Abstract This paper aims to present an overview of the contextualization through a meta-analysis of researches, which deal with this concept. We consider researches that address the contextualization from its proposition by public policies through documents, textbooks and assessments, as well as the conceptions and practices developed by teachers and researchers of mathematics education. The analyses have shown a gap between what is epistemologically understood and practice in the classroom. The weakness in understanding what is contextualization has limited teaching to problem solving and application, simplifying concepts in the process of teaching and learning due to not emphasizing the abstraction process arising from the contextualization.


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