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Pessia Tsamir; Regina Ovodenko; Dina Tirosh – Educational Studies in Mathematics, 2024
This paper reports on students' conceptions of minima points. Written assignments and individual interviews uncovered salient, concept images, as well as erroneous "mis-out examples" that mistakenly regard examples as non-examples and "mis-in examples" that mistakenly grant non-examples the status of examples. We used Tall and…
Descriptors: Misconceptions, Error Patterns, Mathematical Concepts, Mathematics
Angelika Kullberg; Camilla Björklund; Ulla Runesson Kempe – Educational Studies in Mathematics, 2024
The decomposition of numbers when solving subtraction tasks is regarded as more powerful than counting-based strategies. Still, many students fail to solve subtraction tasks despite using decomposition. To shed light upon this issue, we take a variation theoretical perspective (Marton, 2015) seeing learning as a function of discerning critical…
Descriptors: Subtraction, Number Concepts, Grade 2, Elementary School Students
Samet Okumus; Nada Vondrová; Tugrul Kar; Jarmila Robová – Educational Studies in Mathematics, 2025
This study, using a scriptwriting task, examines how 52 Czech pre-service mathematics teachers (PMTs) handled a situation in which a fictional pupil's incorrect reasoning resulted in a correct answer. The participants were asked to imagine and provide a script that reflects how the situation could evolve in response to the pupil's incorrect…
Descriptors: Preservice Teachers, Mathematics Teachers, Error Patterns, Mathematical Logic
Kelsey J. MacKay; Filip Germeys; Wim Van Dooren; Lieven Verschaffel; Koen Luwel – Educational Studies in Mathematics, 2025
Rational numbers, such as fractions and decimals, are harder to understand than natural numbers. Moreover, individuals struggle with fractions more than with decimals. The present study sought to disentangle the extent to which two potential sources of difficulty affect secondary-school students' numerical magnitude understanding: number type…
Descriptors: Number Concepts, Numeracy, Secondary School Mathematics, Secondary School Students
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