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ERIC Number: ED191685
Record Type: RIE
Publication Date: 1980
Reference Count: 0
Analyzing Problem Solving Processes Involved With Problems from Incidence Geometry--An Exploratory Study.
A three-dimensional classification system of mathematical problems is given. A background philosophy is constructed through an analysis of different approaches to problem-solving research, leading to the statement of 5 theses and the objectives for the study. An exploratory study of mathematical problem-solving processes is conducted within this framework. "Think aloud" sessions of students were videotaped while solving problems from incidence geometry. A category system is developed to form data from these observations. Correlation-methods and sequence-analysis techniques are used to analyze the data. Hypotheses are generated concerning systematic behavior (strategies), problem-solving success, modes of representation, mistakes and problem-solving types. (MP)
Descriptors: Cognitive Development, Cognitive Processes, College Mathematics, Geometric Concepts, Learning Problems, Learning Processes, Learning Theories, Logic, Mathematical Concepts, Mathematics Education, Measurement, Number Concepts, Problem Sets, Problem Solving, Secondary Education, Secondary School Mathematics, Student Characteristics
Publication Type: Reports - Research
Education Level: N/A
Sponsor: Ministry of Science and Research, Northrine-Westphalia (West Germany).
Authoring Institution: Ministry of Education, Copenhagen (Denmark).
Identifiers: Mathematics Education Research
Note: This is an abstract of the author's doctoral thesis from the University of Paderborn. Contains occasional marginal legibility.