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Direct linkMartin Abt; Katharina Loibl; Timo Leuders; Wim Van Dooren; Frank Reinhold – Educational Studies in Mathematics, 2025
In the boxplot, the box always represents -- regardless of its area -- the middle half of the data and thus a measure of variability (interquartile range). However, when students first learn about boxplots, they are usual already familiar with other forms of statistical representations (e.g., bar or circle graphs) in which a larger area represents…
Descriptors: College Students, Data Analysis, Graphs, Error Patterns
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
Castro, Encarnación; Cañadas, María C.; Molina, Marta; Rodríguez-Domingo, Susana – Educational Studies in Mathematics, 2022
This paper describes the difficulties faced by a group of middle school students (13- to 15-year-olds) attempting to translate algebraic statements written in verbal language into symbolic language and vice versa. The data used were drawn from their replies to a written quiz and semi-structured interviews. In the former, students were confronted…
Descriptors: Algebra, Middle School Students, Translation, Symbolic Language
Tsamir, Pessia; Tirosh, Dina – Educational Studies in Mathematics, 2023
This paper reports on concept images of 38 secondary school mathematics prospective teachers, regarding the evenness of numbers. Written assignments, individual interviews, and lesson transcripts uncover salient, erroneous concept images of even numbers as numbers that are two times "something" (i.e., "2i" is an even number),…
Descriptors: Secondary School Mathematics, Secondary School Teachers, Mathematics Teachers, Preservice Teachers
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
Kuzniak, Alain; Rauscher, Jean-Claude – Educational Studies in Mathematics, 2011
Various studies suggest that French students (grades 7 to 10) may solve geometric problems within a paradigmatic framework that differs from that assumed by teachers, a situation prone to misunderstandings. In this paper, we study the extent to which secondary school teachers recognise the conflicting paradigms and how they handle the geometric…
Descriptors: Learning Problems, Secondary School Teachers, Geometric Concepts, Geometry
