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Setiyani; Stevanus Budi Waluya; Yohanes Leonardus Sukestiyarno; Adi Nur Cahyono – Journal on Mathematics Education, 2024
In educational settings, reflective thinking is often overlooked, with an excessive emphasis on final answers, resulting in students needing more ability to evaluate and reconstruct their problem-solving processes. The ability for reflective thinking is required by students in solving problems, including numerical problems. This study uses a…
Descriptors: Reflection, Problem Solving, Grade 8, Junior High School Students
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Nicolay, Björn; Krieger, Florian; Stadler, Matthias; Vainikainen, Mari-Pauliina; Lindner, Marlit Annalena; Hansen, Anne; Greiff, Samuel – Metacognition and Learning, 2022
The ability to solve complex problems successfully represents a key competence for students' educational success and beyond. While strategy application and metastrategic knowledge constitute two underlying components that drive successful complex problem solving (CPS), little is known about how these two facets develop individually and jointly in…
Descriptors: Metacognition, Problem Solving, Cognitive Processes, Cognitive Style
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Patrick K. Kirkland; Claire Guang; Chineme Otuonye; Nicole M. McNeil – Journal of Numerical Cognition, 2024
Students who exhibit mature number sense make sense of numbers and operations, use reasoning to notice patterns, and flexibly choose effective problem-solving strategies (McIntosh et al., 1997, https://ro.ecu.edu.au/ecuworks/6819). Due to its dispositional nature, mature number sense is typically measured through in-depth interviews or tests of…
Descriptors: Number Concepts, Thinking Skills, Mathematical Concepts, Multiple Choice Tests
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Kablan, Zeynel; Ugur, Sevinç Süzer – Educational Studies, 2021
This study aims to investigate the relationship between learning styles and the efficacy of routine and non-routine problem solving. It also compares these relationships with respect to routine and non-routine problem types. The study sample consisted of 356 eighth-grade students in four different schools. In this study, correlational and…
Descriptors: Problem Solving, Cognitive Style, Predictor Variables, Correlation
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Nugroho, Aryo Andri; Nizaruddin, Nizarudin; Dwijayanti, Ida; Tristianti, Anggi – Journal of Research and Advances in Mathematics Education, 2020
Creative thinking is the cognitive activities that process the received information to produce new representations. Therefore, it is necessary to develop creative thinking and represent a problem. This study aims to investigate the students' creative thinking processes based on representation in solving mathematical problems reviewed from…
Descriptors: Creative Thinking, Problem Solving, Mathematics Activities, Cognitive Style
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Sulisawati, Dwi Noviani; Lutfiyah; Murtinasari, Frida; Sukma, Luzainiatus – Malikussaleh Journal of Mathematics Learning, 2019
Characteristics of students who are diverse, such as different learning styles will also lead to the possibility of differences in students' ability to understand the learning material and every problem given, especially at the stage of understanding the problem given, because this stage is the most important step to determine the next problem…
Descriptors: Cognitive Style, Learning Modalities, Aural Learning, Visual Learning
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Newton, Kristie J.; Lange, Karin; Booth, Julie L. – Journal of Experimental Education, 2020
Psychologists and mathematics educators have long viewed flexibility as critical to students' mathematical development. In this paper, we focused on the multidimensional nature of flexibility to better understand how preference, knowledge, and use of effective methods for solving algebra problems are related. In Study 1, we identified…
Descriptors: Prior Learning, Mathematics Education, Algebra, Mathematics Instruction
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Schueler-Meyer, Alexander – EURASIA Journal of Mathematics, Science & Technology Education, 2016
Flexibility in transforming algebraic expressions is recognized as fundamental for a rich procedural knowledge. Here, flexibility in-depth is proposed as the ability to apply one strategy to a wide range of unfamiliar expressions. In this study, design experiments with four groups of students were conducted to support students' flexibility…
Descriptors: Algebra, Qualitative Research, Problem Solving, Cognitive Style
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Yau, King Woon; Mok, Ida Ah Chee – Educational Studies in Mathematics, 2016
Students' seatwork plays an important part in their learning in their lessons, and very often, students record their private work in the notebooks during seatwork. The students' private work in their notebooks reflects students' learning and thinking, representing explicit learning outcomes. The students' private work in their notebooks of 14…
Descriptors: Mathematics Instruction, Independent Study, Demonstrations (Educational), Task Analysis
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Guerra, Paula; Lim, Woong – Journal of Urban Mathematics Education, 2014
In this article, the authors present three adolescent Latinas' perceptions of ideal mathematical competencies, their perception of their individual "abilities" in mathematics, and their work on a mathematics problem-solving task. Results indicate that these Latinas recognize flexible mathematics as the ideal mathematical competency in…
Descriptors: Problem Solving, Hispanic American Students, Mathematics Skills, Minimum Competencies
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Gasco, Javier; Villarroel, Jose-Domingo – Electronic Journal of Research in Educational Psychology, 2014
Introduction: Motivation is an important factor in the learning of mathematics. Within this area of education, word problem solving is central in most mathematics curricula of Secondary School. The objective of this research is to detect the differences in motivation in terms of the strategies used to solve word problems. Method: It analyzed the…
Descriptors: Secondary School Students, Word Problems (Mathematics), Problem Solving, Student Motivation
Jiang, Yang; Paquette, Luc; Baker, Ryan S.; Clarke-Midura, Jody – International Educational Data Mining Society, 2015
Inquiry skills are an important part of science education standards. There has been particular interest in verifying that these skills can transfer across domains and instructional contexts [4,15,16]. In this paper, we study transfer of inquiry skills, and the effects of prior practice of inquiry skills, using data from over 2000 middle school…
Descriptors: Performance Based Assessment, Virtual Classrooms, Comparative Analysis, Novices
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Rosenzweig, Carly; Krawec, Jennifer; Montague, Marjorie – Journal of Learning Disabilities, 2011
The purpose of the study was to investigate the metacognitive abilities of students with LD as they engage in math problem solving and to determine processing differences between these students and their low- and average-achieving peers (n = 73). Students thought out loud as they solved three math problems of increasing difficulty. Protocols were…
Descriptors: Protocol Analysis, Learning Disabilities, Problem Solving, Ability Grouping
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Ross, Dan; Reys, Robert; Chavez, Oscar; McNaught, Melissa D.; Grouws, Douglas A. – School Science and Mathematics, 2011
A central goal of secondary mathematics is for students to learn to use powerful algebraic strategies appropriately. Research has demonstrated student difficulties in the transition to using such strategies. We examined strategies used by several thousand 8th-, 9th-, and 10th-grade students in five different school systems over three consecutive…
Descriptors: Algebra, Problem Sets, Problem Solving, Mathematical Applications