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Seyda Zengin; Emrullah Erdem – Acta Educationis Generalis, 2024
This study aims to reveal the mathematical reasoning process of 8th-grade students and the reasoning indicators they use in this process. The study was carried out in line with the data obtained from the Mathematical Reasoning Test (MRT) administered to 292 8th-grade students. The mathematical reasoning performances of the participants were…
Descriptors: Middle School Students, Middle School Mathematics, Thinking Skills, Mathematics Skills
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
Corrêa, Priscila D.; Haslam, Dayna – Mathematics Teaching Research Journal, 2021
Mathematics teaching and learning goes beyond computations and procedures; it rather includes complex problem-solving and critical thinking. Kilpatrick, Swafford, and Findell (2001) identify five mathematical competencies that are present in mathematics learning: conceptual understanding, procedural fluency, adaptive reasoning, strategic…
Descriptors: Problem Solving, Mathematics Instruction, Evaluation Methods, Teaching Methods
Stephens, Max; Day, Lorraine; Horne, Marj – Australian Journal of Education, 2021
Generalisation is a key feature of learning algebra, requiring all four proficiency strands of the Australian Curriculum: Mathematics (AC:M): Understanding, Fluency, Problem Solving and Reasoning. From a review of the literature, we propose a learning progression for algebraic generalisation consisting of five levels. Our learning progression is…
Descriptors: Algebra, Thinking Skills, Teaching Methods, Mathematics Instruction
Cosar, Mehmet Çaglar; Kesan, Cenk – Online Submission, 2021
The purpose of this study is to investigate a mathematically gifted student's self-regulation behaviours while constructing and consolidating mathematical knowledge. However, the objective is to determine which self-regulation strategies influence this student's mathematical abstraction process. The case study method was used in the research. As…
Descriptors: Gifted, Mathematics Education, Problem Solving, Case Studies
Thurn, Christian; Nussbaumer, Daniela; Schumacher, Ralph; Stern, Elsbeth – Journal of Intelligence, 2022
We explored the mediating role of prior knowledge on the relation between intelligence and learning proportional reasoning. What students gain from formal instruction may depend on their intelligence, as well as on prior encounters with proportional concepts. We investigated whether a basic curriculum unit on the concept of density promoted…
Descriptors: Prior Learning, Intelligence, Training, Logical Thinking
Finke, Sabrina; Kemény, Ferenc; Sommer, Markus; Krnjic, Vesna; Arendasy, Martin; Slany, Wolfgang; Landerl, Karin – Computer Science Education, 2022
Background: Key to optimizing Computational Thinking (CT) instruction is a precise understanding of the underlying cognitive skills. Román-González et al. (2017) reported unique contributions of spatial abilities and reasoning, whereas arithmetic was not significantly related to CT. Disentangling the influence of spatial and numerical skills on CT…
Descriptors: Spatial Ability, Cognitive Ability, Abstract Reasoning, Arithmetic
He, Wei; Yang, Yingying; Gao, Dingguo – Journal of Cognition and Development, 2018
There have been mixed results in studies investigating proportional reasoning in young children. The current study aimed to examine whether providing visual scaling cues and structuring the reasoning process can improve proportional reasoning in 5- to 6-year-old children. In a series of computerized tasks, children compared the sweetness of 2…
Descriptors: Abstract Reasoning, Young Children, Task Analysis, Evaluative Thinking
Frith, Vera; Lloyd, Pam – Pythagoras, 2016
The ability to reason about numbers in relative terms is essential for quantitative literacy, which is necessary for studying academic disciplines and for critical citizenship. However, the ability to reason with proportions is known to be difficult to learn and to take a long time to develop. To determine how well higher education applicants can…
Descriptors: Academic Aspiration, Higher Education, Benchmarking, Multiple Choice Tests
Silverman, Jason – Journal of Computers in Mathematics and Science Teaching, 2017
This article explores one segment of an extended research and development project that was conducted to better understand the ways online teacher professional development can support teachers' development of deep and connected mathematical understandings. In particular, this article discusses teachers' understandings of the concept of…
Descriptors: Mathematics Teachers, Pedagogical Content Knowledge, Online Courses, Faculty Development
Fuchs, Lynn S.; Gilbert, Jennifer K.; Fuchs, Douglas; Seethaler, Pamela M.; N. Martin, BrittanyLee – Scientific Studies of Reading, 2018
This study was designed to deepen insights on whether word-problem (WP) solving is a form of text comprehension (TC) and on the role of language in WPs. A sample of 325 second graders, representing high, average, and low reading and math performance, was assessed on (a) start-of-year TC, WP skill, language, nonlinguistic reasoning, working memory,…
Descriptors: Reading Comprehension, Oral Language, Predictor Variables, Word Problems (Mathematics)
Tajudin, Nor'ain Mohd; Chinnappan, Mohan – Mathematics Education Research Group of Australasia, 2015
Reasoning is considered to be an important proficiency in national mathematics curricula both in Australia (ACARA, 2014) and Malaysia (MOE, 2013). However, the nature of reasoning that supports learning and problem solving in mathematics is an area that requires further study (Schoenfeld, 2013). In this study we explored the link between…
Descriptors: Foreign Countries, Science Process Skills, Mathematics Skills, Thinking Skills
Fuchs, Lynn S.; Fuchs, Douglas; Compton, Donald L.; Hamlett, Carol L.; Wang, Amber Y. – Scientific Studies of Reading, 2015
This study's hypotheses were that (a) word-problem (WP) solving is a form of text comprehension that involves language comprehension processes, working memory, and reasoning, but (b) WP solving differs from other forms of text comprehension by requiring WP-specific language comprehension as well as general language comprehension. At the start of…
Descriptors: Word Problems (Mathematics), Problem Solving, Reading Comprehension, Short Term Memory
Livy, Sharyn; Herbert, Sandra – Mathematics Education Research Group of Australasia, 2013
Proportional reasoning is important for informed decisions in proportional problem situations. This paper reports on mathematical content knowledge related to proportional reasoning of second-year, pre-service teachers. Responses to two ratio items provide insights into their correct method of solutions and common misconceptions. Anchor Points…
Descriptors: Preservice Teachers, Mathematics Skills, Abstract Reasoning, Problem Solving
Sullivan, Peter; Davidson, Aylie – Mathematics Education Research Group of Australasia, 2014
The following is a report of an exploration of what mathematical reasoning might look like in classrooms. Focusing on just one lesson in one classroom, data are presented that indicate that upper primary students are willing and able to reason for themselves, especially in classrooms in which the culture for such reasoning has been established. It…
Descriptors: Foreign Countries, Mathematics Education, Mathematical Logic, Abstract Reasoning
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