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Direct linkMathematics Teacher, 2019
Despite repeated discussions and practice, algebra students continue to make variable errors, in many ways, year after year. This same problem appeared thirty years ago in a list of common errors that math teachers today would immediately recognize, many involving exponents and distribution (Marquis 1988). Similar complaints even appeared in the…
Descriptors: Algebra, Error Patterns, Misconceptions, Mathematics Skills
Peer reviewedHutcheson, James W. – Mathematics Teacher, 1975
Techniques are suggested for preparing practice exercises in algebra and trigonometry. (JP)
Descriptors: Algebra, Games, Instructional Materials, Learning Processes
Peer reviewedWinter, Mary Jean; Carlson, Ronald J. – Mathematics Teacher, 2000
Describes a laboratory-type activity, liquid assets, used to illustrate, develop, or reinforce central concepts in first-year algebra. These include linear function, slope, intercept, and dependent and independent variables. Presents a group activity for collecting data, transition from group to individual activity in plotting data points, and…
Descriptors: Algebra, Concept Formation, Group Activities, Learning Processes
Clausen, Mary C. – Mathematics Teacher, 2005
The problem of solving mathematical equations can be quite tough for some students hence they face a great difficulty when applying ideas to the actual process. Students in algebra classes are taught coding in which they write down what they will need to do to solve the equation and this coding makes the students more adept at solving equations…
Descriptors: Children, Cognitive Development, Equations (Mathematics), Algebra
Peer reviewedBonsangue, 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
Peer reviewedBlais, Donald M. – Mathematics Teacher, 1988
The author defines and discusses the cognitive theory of constructivism as it relates to teaching mathematics. It is suggested that the philosophical and theoretical view of knowledge and learning embodied in constructivism offers hope that educational processes will be discovered enabling students to acquire deep understanding rather than…
Descriptors: Algebra, Cognitive Development, Cognitive Processes, Cognitive Structures
Peer reviewedKysh, Judith – Mathematics Teacher, 1991
Described is an alternative first year algebra program developed to bridge the gap between the NCTM's Curriculum and Evaluation Standards and institutional demands of schools. Increased attention is given to graphing as a context for algebra, calculator use, solving "memorable problems," and incorporating geometry concepts, while…
Descriptors: Algebra, Area, Calculators, Course Content
