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Some Misconceptions concerning the Concept of Variable.
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Rosnick, Peter – Mathematics Teacher, 1981
Presented is a study that underscores the extent to which students do not understand the use or meaning of letters in equations. (MP)
Descriptors: College Mathematics, Higher Education, Learning Problems, Mathematics Instruction
Linking Task Characteristics to the Development of Symbol Sense.
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Kinzel, Margaret Tatem – Mathematics Teacher, 2001
Describes a student's work on a word problem after which she was very comfortable with her answer but her work was not correct. Discusses symbol sense, goals for students, and how tasks can be used to help meet those goals. (KHR)
Descriptors: Educational Objectives, Learning Problems, Mathematics Instruction, Problem Solving
Misinterpretations Can Sometimes Be a Good Thing.
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Bonsangue, Martin V.; Gannon, Gerald E,; Pheifer, Laura J. – Mathematics Teacher, 2002
Reports findings from the team teaching of a course in mathematical problem solving designed for secondary and community college teachers to clarify the concept of ."ecessary and sufficient" conditions. Discusses assigned problems and students' incorrect interpretations. Student interpretations showed how simple mistakes can often lead to rich…
Descriptors: Algebra, Elementary Secondary Education, Learning Problems, Learning Processes
Moving beyond Teachers' Intuitive Beliefs about Algebra Learning.
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Nathan, Mitchell J.; Koedinger, Kenneth R. – Mathematics Teacher, 2000
Examines teachers' judgments of the difficulties of algebra problems. Offers classroom-tested instructional approaches that build directly on students' mathematical intuitions and inventions. (KHR)
Descriptors: Algebra, Attitudes, Creative Thinking, Elementary Secondary Education
Problem Solving: Look beyond the Right Answer.
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McGinty, Robert L.; Meyerson, Lawrence N. – Mathematics Teacher, 1980
Methods of instructing students in problem solving are suggested that get pupils to view mathematics as a tool. The author states students should look beyond the numerical answer to the other components and highlights areas of the mathematics curriculum that afford an opportunity to explore these many facets. (MP)
Descriptors: Learning Problems, Mathematical Concepts, Mathematics Curriculum, Mathematics Education