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Gyuhee Yi; Jihyun Lee; Jihyun Hwang – Educational Studies in Mathematics, 2024
Following psychologist Langer's theory, this study aimed to examine the influence of conditional tasks containing inherent uncertainty on the cultivation of mindfulness. It used preceding research to develop conditional mathematics tasks corresponding to integers and rational numbers, within a 10-lesson curriculum. It divided a total of 182 middle…
Descriptors: Metacognition, Task Analysis, Mathematics Instruction, Comparative Analysis
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Kirsten Brunner; Andreas Obersteiner; Timo Leuders – Educational Studies in Mathematics, 2024
Teachers' ability to accurately judge difficulties of mathematical tasks is an essential aspect of their diagnostic competencies. Although research has suggested that pedagogical content knowledge (PCK) is positively correlated with the accuracy of diagnostic judgments, experimental studies have not been conducted to investigate how PCK affects…
Descriptors: Eye Movements, Pedagogical Content Knowledge, Accuracy, Correlation
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Paraskevi Michael-Chrysanthou; Areti Panaoura; Athanasios Gagatsis; Iliada Elia – Educational Studies in Mathematics, 2024
The present study examines secondary school students' geometrical figure apprehension based on Duval's theoretical framework regarding perceptual, operative, and discursive apprehension. The aim is to explore the cognitive structure of the geometrical figure apprehension dimensions (operative, discursive, and perceptual) in three grades of…
Descriptors: Geometry, Geometric Concepts, Mathematics Anxiety, Foreign Countries
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Liu, Qimeng; Liu, Jian; Cai, Jinfa; Zhang, Zhikun – Educational Studies in Mathematics, 2020
This study explored 1634 Chinese eighth-grade students' domain- and task-specific self-efficacy and its relationship to their problem-posing performance. In particular, the linear regression model, generalized additive model (GAM), and piecewise regression model (PRM) were used to detail the linear and non-linear relationships between these…
Descriptors: Self Efficacy, Problem Solving, Mathematics Instruction, Mathematics Achievement
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Eriksson, Helena; Sumpter, Lovisa – Educational Studies in Mathematics, 2021
This study examines the collective mathematical reasoning when students and teachers in grades 3, 4, and 5 explore fractions derived from length comparisons, in a task inspired by the Elkonin and Davydov curriculum. The analysis showed that the mathematical reasoning was mainly anchored in mathematical properties related to fractional or algebraic…
Descriptors: Fractions, Mathematics Skills, Thinking Skills, Algebra
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Yerushalmy, Michal; Swidan, Osama – Educational Studies in Mathematics, 2012
The present study focuses on the accumulation process involved in the integration of a single-variable function. Observing the work of two high-school calculus students who had not yet learned any other integral-related ideas, we analyze the emergence of the semiotic relationship between personal and mathematical meanings, as expressed through the…
Descriptors: Calculus, Semiotics, Linguistic Theory, Graphs
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Irwin, Kathryn C.; Irwin, R. John – Educational Studies in Mathematics, 2005
Development in the ability of 11-year-olds to solve numerical problems of addition, multiplication, and proportion was analysed by means of three Rasch models of change. The students, who had participated in a New Zealand numeracy project in 2002, comprised two groups that differed in socio-economic status: 1,274 students came from low…
Descriptors: Foreign Countries, Numeracy, Task Analysis, Arithmetic