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Ling Zhang; Naiqing Song; Guowei Wu; Jinfa Cai – Educational Studies in Mathematics, 2025
This study concerns the cognitive process of mathematical problem posing, conceptualized in three stages: understanding the task, constructing the problem, and expressing the problem. We used the eye tracker and think-aloud methods to deeply explore students' behavior in these three stages of problem posing, especially focusing on investigating…
Descriptors: Cognitive Processes, Mathematics Skills, Problem Solving, Eye Movements
Reader, Tracey; Larkin, Kevin; Grootenboer, Peter – Mathematics Education Research Group of Australasia, 2023
This conceptual paper discusses two frameworks, developed independently by the lead author, that will provide the conceptual foundation for the identification and evaluation of mental computation strategies students demonstrate during an upcoming research project entitled Mental Computation in Year 5. These frameworks will be used by the lead…
Descriptors: Elementary School Students, Cognitive Processes, Computation, Mathematics Instruction
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Tang Wee Teo – Journal of Curriculum Studies, 2024
Many empirical studies about STEM (science, technology, engineering, and mathematics) curriculum present problems for students to solve. This paper draws upon the data collected from the enactment of an integrated STEM curriculum to discuss problems as constitutive of problem spaces where four Grade 5 Singapore students engage with the…
Descriptors: STEM Education, Integrated Curriculum, Inquiry, Problem Solving
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Shen, Ji; Chen, Guanhua; Barth-Cohen, Lauren; Jiang, Shiyan; Eltoukhy, Moataz – Journal of Research on Technology in Education, 2022
Computational thinking (CT) has been advocated as an essential problem solving skill students need to develop. Emphasizing on CT applied in both programming and everyday contexts, we developed a humanoid robotics curriculum and a computerized assessment instrument. We implemented the curriculum with six classes of 125 fifth graders. Quantitative…
Descriptors: Elementary School Students, Grade 5, Computation, Thinking Skills
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Antje Boomgaarden; Katharina Loibl; Timo Leuders – Interactive Learning Environments, 2023
PS-I learning approaches with an initial problem-solving phase (PS) followed by an instruction phase (I) can be optimised by providing adaptive (individualised) instruction that builds on students' problem-solving products. A computer-based implementation of both phases offers the possibility of adaptivity at the transition from the…
Descriptors: Computer Assisted Instruction, Technology Uses in Education, Fractions, Educational Environment
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Chih-Hung Chen; Hsiang-Yu Chung – Journal of Educational Computing Research, 2024
Computational thinking (CT) has gained considerable attention and in-depth discussion over the last two decades. Although the significance of CT has been highlighted, it could be challenging for educators to teach CT. Fortunately, adopting robots in education has been evidenced to be of benefit to promoting students' learning motivation, CT, and…
Descriptors: Computation, Thinking Skills, Teaching Methods, Programming
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del Olmo-Muñoz, Javier; González-Calero, José Antonio; Diago, Pascual D.; Arnau, David; Arevalillo-Herráez, Miguel – British Journal of Educational Technology, 2022
Problem solving is often regarded as one of the most essential cognitive functions in our daily lives, and, for that reason, educational theorists have long stressed the need for its development. As cognitive flexibility is a fundamental characteristic necessary throughout the problem-solving process, the purpose of this study is to analyse…
Descriptors: Problem Solving, Arithmetic, Grade 5, Grade 6
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Kiliçoglu, Gökçe; Yildirim, Damla – International Journal of Education and Literacy Studies, 2023
This study aims to determine the relationship between middle school students' innovative thinking tendencies and entrepreneurial skills and to identify the variables that predict entrepreneurial skill. To this end, the study used the correlational survey method. The study group consists of 274 5th-, 6th-, and 7th-graders studying in 3 middle…
Descriptors: Foreign Countries, Middle School Students, Innovation, Cognitive Processes
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Jacobson, Erik; Liu, Jinqing; Bharaj, Pavneet Kaur; Savich, Theodore – North American Chapter of the International Group for the Psychology of Mathematics Education, 2021
There have been many efforts to measure pedagogical content knowledge with multiple-choice survey instruments, but little is known about how different types of items contribute. In this study, we examined interviews with 9 Grade 4 teachers to develop a deeper understanding of how teachers select pedagogical representations in the context of a…
Descriptors: Pedagogical Content Knowledge, Elementary School Mathematics, Elementary School Teachers, Grade 4
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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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Ngo, Vy; Perez Lacera, Luisa; Closser, Avery Harrison; Ottmar, Erin – Journal of Numerical Cognition, 2023
For students to advance beyond arithmetic, they must learn how to attend to the structure of math notation. This process can be challenging due to students' left-to-right computing tendencies. Brackets are used in mathematics to indicate precedence but can also be used as superfluous cues and perceptual grouping mechanisms in instructional…
Descriptors: Mathematics Skills, Arithmetic, Symbols (Mathematics), Computation
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Hopkins, Sarah; Russo, James; Siegler, Robert – Mathematical Thinking and Learning: An International Journal, 2022
There is a growing awareness that many children are not developing fast and accurate retrieval-based strategies for solving single-digit addition problems. In this study we individually assessed 166 third and fourth grade children to identify a group of children (called accurate-min-counters) who frequently solved simple single-digit addition…
Descriptors: Addition, Grade 3, Grade 4, Elementary School Students
Sangmi Park – ProQuest LLC, 2023
A solid foundation in mathematics is beneficial not only for individuals' concurrent and later academic achievement, but also for future career success and financial stability. Rational number knowledge plays a pivotal role in mathematical success, yet it is often regarded as a challenging area to grasp comprehensively. The dissertation aims to…
Descriptors: Numeracy, Mathematics Instruction, Mathematics Achievement, Mathematics Anxiety
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Yuchen Chen; Xinli Zhang; Lailin Hu – Educational Technology & Society, 2024
In conventional ancient Chinese poetry learning, students tend to be under-motivated and fail to understand many aspects of poetry. As generative artificial intelligence (GAI) has been applied to education, image-GAI (iGAI) provides great opportunities for students to generate visualized images based on their descriptions of poems, and to situate…
Descriptors: Elementary School Students, Grade 5, Poetry, Artificial Intelligence
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Wang, Li; Zeng, Jieying; Ran, Xiaomeng; Cui, Zhanling; Zhou, Xinlin – ZDM: Mathematics Education, 2022
Mathematical problems can be divided into two types, namely, process-open and process-constrained problems. Solving these two types of problems may require different cognitive mechanisms. However, there has been only one study that investigated the differences of the cognitive abilities in process-open and process-constrained problem solving, and…
Descriptors: Problem Solving, Cognitive Processes, Cognitive Ability, Grade 5
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