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Reit, Xenia-Rosemarie; Schäfer, Marc – Journal on Mathematics Education, 2020
It remains a challenge for teachers to integrate modeling tasks in everyday mathematics classes. Many studies have been conducted that show the difficulties faced by teachers. One of the challenging aspects in this regard is that of assessment. In the present study, a connection between structures of learners' solution strategies and cognitive…
Descriptors: Teaching Methods, Mathematics Instruction, Mathematical Models, Problem Solving
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Fischbein, Efraim; Schnarch, Ditza – Journal for Research in Mathematics Education, 1997
Describes a study that investigated probabilistic intuitions held by students (N=98) from grade 7 through college through the use of a questionnaire. Of the misconceptions that were investigated, availability was the only one that was stable across age groups. Contains 20 references. (DDR)
Descriptors: Age Differences, Cognitive Structures, Concept Formation, Elementary Secondary Education
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Otte, Michael – For the Learning of Mathematics, 1990
Compared and contrasted are the concepts intuition and logic. The ideas of conceptual thought and algorithmic thought are discussed in terms of the world as a labyrinth, intuition and time, and the structure of knowledge. (KR)
Descriptors: Abstract Reasoning, Algorithms, Cognitive Ability, Cognitive Processes
Merrill, Douglas C.; Reiser, Brian J. – 1994
External representations have a great impact on what and how students learn. One key manner in which environments can operate upon novices' knowledge is through helping them ground their problem solving in an understanding of the situation embodied by the problem. In this paper, students' difficulties in microeconomics problem solving were…
Descriptors: Coding, Cognitive Structures, Diagrams, Difficulty Level
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Fischbein, Efraim; And Others – Educational Studies in Mathematics, 1991
To investigate the origins and nature of intuitive obstacles affecting the learning of elementary probability theory, 618 Italian elementary and middle school students were interviewed about their methods of solution for several problems dealing with probability. The discussion focuses on four varieties of obstacles to learning prevalent within…
Descriptors: Cognitive Structures, Cognitive Style, Comprehension, Concept Formation