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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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Götz, Daniela; Gasteiger, Hedwig – Educational Studies in Mathematics, 2022
Students' issues dealing with reflection tasks, especially with inclined mirror lines, are widely known. Previous research conducted with primary school students mainly focussed on task difficulty and students' outcomes, especially their errors of reflection. Little is known about which not obviously sustainable understanding of reflection leads…
Descriptors: Elementary School Students, Error Patterns, Foreign Countries, Task Analysis
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González-Calero, José Antonio; Arnau, David; Laserna-Belenguer, Belén – Educational Studies in Mathematics, 2015
An empirical study has been carried out to evaluate the potential of word order matching and static comparison as explanatory models of reversal error. Data was collected from 214 undergraduate students who translated a set of additive and multiplicative comparisons expressed in Spanish into algebraic language. In these multiplicative comparisons…
Descriptors: Error Patterns, Undergraduate Students, Spanish, Algebra
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Wijaya, Ariyadi; van den Heuvel-Panhuizen, Marja; Doorman, Michiel – Educational Studies in Mathematics, 2015
Based on the findings of an error analysis revealing that Indonesian ninth- and tenth-graders had difficulties in solving context-based tasks, we investigated the opportunity-to-learn offered by Indonesian textbooks for solving context-based mathematics tasks and the relation of this opportunity-to-learn to students' difficulties in solving these…
Descriptors: Foreign Countries, Mathematics Instruction, Grade 9, Grade 10
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Son, Ji-Won – Educational Studies in Mathematics, 2013
Interpreting and responding to student thinking are central tasks of reform-minded mathematics teaching. This study examined preservice teachers' (PSTs) interpretations of and responses to a student's error(s) involving finding a missing length in similar rectangles through a teaching scenario task. Fifty-seven PSTs' responses were…
Descriptors: Mathematics Instruction, Preservice Teachers, Student Teacher Attitudes, Error Patterns
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Almog, Nava; Ilany, Bat-Sheva – Educational Studies in Mathematics, 2012
Inequalities are one of the foundational subjects in high school math curricula, but there is a lack of academic research into how students learn certain types of inequalities. This article fills part of the research gap by presenting the findings of a study that examined high school students' methods of approaching absolute value inequalities,…
Descriptors: Academic Achievement, Cognitive Processes, High School Students, Measures (Individuals)
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Lannin, John K.; Barker, David D.; Townsend, Brian E. – Educational Studies in Mathematics, 2007
In this study we examined how two students viewed the general nature of their proportional reasoning errors as they attempted to generalize numeric situations. Using a teaching experiment methodology we studied the reasoning of two students over 18 instructional sessions. One student, Dallas, appeared to recognize that the proportional reasoning…
Descriptors: Mathematical Concepts, Error Patterns, Mathematics Instruction, Mathematical Logic
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Fiori, Carla; Zuccheri, Luciana – Educational Studies in Mathematics, 2005
Pupils' mistakes, if suitably analysed, may give useful suggestions for improving the teaching/learning process of mathematics. We present here the main issues of an investigation on a population of 732 Italian pupils (9--12 years old), addressed to determine the typology of errors in performing written subtraction. We compared our results with…
Descriptors: Foreign Countries, Subtraction, Error Patterns, Mathematics Instruction
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Mevarech, Zemira R. – Educational Studies in Mathematics, 1983
Two studies involving 242 college students are described. First, a 15-item test on means was given, identifying students' misconceptions. In the experiment that followed, most students were able to acquire the appropriate schema of statistical concepts by engaging in diagnostic activities embedded in a feedback-corrective procedure. (MNS)
Descriptors: College Mathematics, Diagnostic Teaching, Error Patterns, Higher Education
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Clarkson, Philip – Educational Studies in Mathematics, 1983
Interviews were used to find the frequency of different types of errors made by 95 sixth-year Papua New Guinea students on a mathematics test. The general trend was the same as for western students, but the Papua New Guinea students made far fewer careless errors. (MNS)
Descriptors: Educational Research, Elementary Education, Elementary School Mathematics, Error Patterns
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Matthews, Julia – Educational Studies in Mathematics, 1983
This experiment involved 176 London children aged six and seven. Their levels of attainment on subtraction were quickly and accurately established by two questions. Then teaching programs were used to help them attain prerequisite skills. To symbolize too soon is a danger to be avoided. (MNS)
Descriptors: Cognitive Processes, Educational Research, Elementary School Mathematics, Error Patterns
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Ben-Haim, D.; And Others – Educational Studies in Mathematics, 1985
The evidence suggests that students in grades 5 through 8 have difficulty relating isometric type drawings to the rectangular solids they represent. Errors made by students were analyzed and the effect of instruction in spatial visualization activities assessed. (MNS)
Descriptors: Diagrams, Educational Research, Elementary School Mathematics, Elementary Secondary Education
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Zehavi, Nurit; And Others – Educational Studies in Mathematics, 1985
A model of qualities of mathematical activity was developed within a framework of learning goals. A clinical application of the model is described, in which ninth-grade students were given assignment projects. A hierarchy of effective guidance was established, permitting diagnostic evaluation and progressive development of mathematical activity.…
Descriptors: Diagnostic Teaching, Educational Research, Error Patterns, Grade 9
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Zepp, R.; And Others – Educational Studies in Mathematics, 1987
A test of logic using implicational and disjunctive sentences was given to Chinese and English speakers. No differences were found on "if-then" sentences, but differences were found on "or" sentences. (MNS)
Descriptors: Bilingual Students, College Students, Cross Cultural Studies, Educational Research
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Nesher, Pearla; Peled, Irit – Educational Studies in Mathematics, 1986
The process of transition from a novice's state to that of an expert, in the domain of decimals, is described in terms of explicit, intermediate, and transitional rules which are consistent yet erroneous. Data from students in grades 6-9 are included. (MNS)
Descriptors: Cognitive Processes, Decimal Fractions, Educational Research, Elementary School Mathematics
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