Researching students' strategies, episodes, and metacognitions in mathematical problem solving

2012-01-01
The purpose of this study was to investigate the problem solving strategies, problem solving episodes, and metacognitions of five Turkish high school freshmen and explore the interplay of these on their problem solving success in mathematics. Participants worked on ten problems selected among the released mathematical literacy items used in Programme for International Student Assessment (PISA) 2003. The research data had been collected through clinical interviews and a self-monitoring questionnaire filled by the participants. The data were coded and analysed according to a framework adopted from various researchers in the field. Our results have confirmed that the problem solving success is too complex to be clarified by a unique property or behaviour of the solver. It requires overcoming various obstacles to reach a successful result. Therefore, not only the students should have the required mathematical knowledge and a good repertoire of different problem solving strategies, but also they should know when and how to use those strategies, along with monitoring and regulating their problem-solving processes using their metacognitive skills.
QUALITY & QUANTITY

Suggestions

Students’ strategies, episodes and metacognitions in the context of pisa 2003 mathematical literacy items
Okur, Serkan; Erbaş, Ayhan Kürşat; Department of Secondary Science and Mathematics Education (2008)
The purpose of this study was to investigate the problem solving strategies, problem solving episodes, and metacognition of five Turkish students just graduated from elementary school and explore the interplay of these factors on their problem solving success in mathematics. The research data had been collected by clinical interviews and a self monitoring questionnaire followed by the interviews. Ten mathematical problems that participant students had worked on were selected among the released mathematical ...
Investigating middle school students’ achievement and strategies in proportional reasoning problems
Yılmaz, Gamze Öze; Akyüz, Didem; Department of Elementary Science and Mathematics Education (2019)
The aims of the study are to specify the academic achievement of the fifth, sixth, seventh and eighth grade students in proportional reasoning problems, to determine how the academic achievement of these students change according to problem types, to examine their solution strategies in these problems, and to reveal how these strategies diversify from fifth to eighth grade. To collect data in order to achieve these aims, a proportional reasoning test were prepared. The study was designed as a mixed study. I...
Investigation of the effects of problem solving instruction on fifth grade students’ mathematical problem solving performance
Kanar, Özge; Bulut, Safure; Department of Mathematics Education (2022-2-04)
The primary purpose of the current study was to investigate the effects of problem solving instruction on 5th grade students’ mathematical problem solving performance across the three time periods. Also, the other aim of the study was to examine the relationship between 5th grade students’ mathematical problem solving performance scores of Well-Structured Problem Solving Tests (WSPST) and Ill-Structured Problem Solving Tests (ISPST) after the problem solving instruction. In addition to that, exploring s...
The effects of problem solving on the topic of functions on problem solving performance, attitude toward problem solving and mathematics
Özalkan, Bilgen Ege; Bulut, Safure; Department of Secondary Science and Mathematics Education (2010)
The purpose of the study was to investigate the effect of Problem Solving Method on 9th grade students‟ problem solving performance and attitudes toward mathematics and problem solving. This study was done in 2007-2008 academic year, in a private high school in Ankara. In the present study the experimental-control group pre-test post-test research design was used. The study was done with 67 students of the private high school. Experimental group was instructed with Problem Solving Method and control group w...
The effect of computer assisted instruction on eight grade students’ permutation-combination-probability achievement and attitudes towards computer assisted instruction
Kapucu, Tuğba; Batmaz, İnci; İlk Dağ, Özlem; Department of Statistics (2016)
The purpose of this study was to examine the effects of computer assisted instructional material prepared in R programme, on eight grade students’ permutation-combination and probability achievement and attitudes towards computer assisted learning. In this study, we have survey data for 74 randomly selected students which consists of 45 highly correlated explanatory variables with different measurement levels to model whether CAI material has been effective or not. For data reduction, we firstly presented p...
Citation Formats
A. K. Erbaş, “Researching students’ strategies, episodes, and metacognitions in mathematical problem solving,” QUALITY & QUANTITY, pp. 89–102, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/49153.