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Lonneke Boels; Arthur Bakker; Wim Van Dooren; Paul Drijvers – Educational Studies in Mathematics, 2025
Many students persistently misinterpret histograms. This calls for closer inspection of students' strategies when interpreting histograms and case-value plots (which look similar but are different). Using students' gaze data, we ask: "How and how well do upper secondary pre-university school students estimate and compare arithmetic means of…
Descriptors: Secondary School Students, Learning Strategies, Data Interpretation, Graphs
Greiffenhagen, Christian; Sharrock, Wes – Educational Studies in Mathematics, 2008
In the last three decades there have been a variety of studies of what is often referred to as "everyday" or "street" mathematics. These studies have documented a rich variety of arithmetic practices involved in activities such as tailoring, carpet laying, dieting, or grocery shopping. More importantly, these studies have helped to rectify…
Descriptors: Case Studies, Mathematics Instruction, Educational Theories, Cognitive Processes

Kleiner, Israel – Educational Studies in Mathematics, 2001
Considers examples of aspects of the infinitely small and large as they unfolded in the history of calculus from the 17th through the 20th centuries. Presents didactic observations at relevant places in the historical account. (Author/MM)
Descriptors: Calculus, Cognitive Processes, Concept Formation, Higher Education

Hope, Jack A. – Educational Studies in Mathematics, 1985
The processes and procedures used by expert mental calculators are identified from a literature review. Experts are characterized by knowledge of a variety of methods, ability to recall numerical equivalents, and ability to remember the numbers involved in various stages of calculations. (MNS)
Descriptors: Adults, Cognitive Processes, Computation, Educational Research

Wittmann, Erich – Educational Studies in Mathematics, 1981
It is argued that the view of mathematics as an activity emphasizing intuitive thinking is compatible with an axiomatic-deductive approach. (MP)
Descriptors: Cognitive Processes, Educational Philosophy, Learning Theories, Literature Reviews

Lecoutre, Marie-Paule – Educational Studies in Mathematics, 1992
Reviews research indicating that students' cognitive models hold random events to be equiprobable Examined 87 students between the ages of 15 and 17 to determine whether masking a random event using geometric figures would affect the students' view of the event as equiprobable. Results indicated that masking overcame the equiprobable bias of the…
Descriptors: Cognitive Processes, Cognitive Structures, Cognitive Style, Mathematical Concepts

Tourniaire, Francoise; Pulos, Steven – Educational Studies in Mathematics, 1985
The literature on proportional reasoning is reviewed. After methodology is discussed, strategies used to solve proportion problems, variables that influence performance, and training studies are each considered. (MNS)
Descriptors: Cognitive Processes, Educational Research, Elementary Secondary Education, Error Patterns