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Cramer, Kathleen; Monson, Debra; Whitney, Stephanie; Leavitt, Seth; Wyberg, Terry – Mathematics Teaching in the Middle School, 2010
Fraction division is generally introduced in sixth or seventh grade with this rule: "Invert and multiply." The authors examined current commercial curricula and found that few textbooks use context as a way to build meaning for the division of fractions. When context is used, the connection between the invert-and-multiply rule and the context is…
Descriptors: Textbooks, Secondary School Mathematics, Arithmetic, Mathematics Instruction

Martinez, Joseph G. R. – Mathematics Teacher, 1988
An approach to teaching factors and terms is offered that builds directly on students' knowledge of arithmetic. Errors arising from factor and term confusions are noted, followed by the pedagogical strategy of exploration, invention, and discovery. (MNS)
Descriptors: Algebra, Arithmetic, Error Patterns, Learning Activities

Gable, Robert A.; And Others – Teaching Exceptional Children, 1991
A nine-step model is presented for diagnosing and correcting computation errors in arithmetic. The model, which lends itself to curriculum-based assessment and instruction, involves such steps as identifying error patterns, interviewing the student, and selecting the appropriate corrective strategy. (JDD)
Descriptors: Arithmetic, Elementary Secondary Education, Error Correction, Error Patterns
Enright, Brian E. – Diagnostique, 1990
A checklist is presented to identify common problems students exhibit in arithmetic. Alongside general areas of need, common mistakes are listed to help diagnose error patterns for targeting specific skills and designing effective intervention. General areas include readiness, problem solving, whole-number computations, fraction computations, and…
Descriptors: Arithmetic, Check Lists, Educational Diagnosis, Elementary Secondary Education
Enright, Brian E.; And Others – Diagnostique, 1988
Outlined are the weaknesses of traditional, norm-referenced tests which fail to help in making instructional decisions. Presented is a step-by-step series of operations for analyzing and categorizing arithmetic errors, for selecting corrective strategies, and for applying peer-referenced standards to judge the performance of special needs…
Descriptors: Arithmetic, Diagnostic Teaching, Elementary Secondary Education, Error Patterns
Gerver, Robert; Sgroi, Richard – 1989
Students make errors in mathematics for a variety of reasons. It is the job of the educator to identify the source of these errors and to assist students in correcting them. The purpose of this monograph is to help identify, analyze, and evaluate students' computational proficiency. This monograph is divided into four sections: "Whole Numbers";…
Descriptors: Arithmetic, Computation, Decimal Fractions, Elementary School Mathematics
Benander, Lynn; Clement, John – 1985
This booklet is a catalog of error patterns found in basic arithmetic and algebra courses. It is intended to be used as a resource by instructors and tutors teaching these concepts. The material is divided into major concept headings with subheadings. The error patterns are named and given a brief general description followed by a specific example…
Descriptors: Academic Achievement, Algebra, Arithmetic, Elementary Education

Blando, John A.; And Others – Journal for Research in Mathematics Education, 1989
Seventh-grade students were tested to uncover arithmetic errors. Answers and intermediate steps were analyzed and models to represent students' behavior were developed. Certain errors were common across students. Others were tied to the format of the test item. Some superficial understandings of mathematical concepts were exposed. (Author/DC)
Descriptors: Algorithms, Arithmetic, Computation, Error Patterns
Palmer, Don; And Others – 1994
This book provides a comprehensive collection of 66 teaching strategies and ideas to help overcome problems with number, each linked to a specific kind of error described in the related manual. Most of these strategies are classroom-ready and easily implemented. Some are notes for the teacher to read and then plan activities accordingly, and many…
Descriptors: Algorithms, Arithmetic, Educational Diagnosis, Elementary Education