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Hector, Judith H. – 1978
The relative effectiveness of three methods of teaching fraction computation in the context of the community college was investigated. The use of calculators was a special focus of the study. The three methods were: (1) conventional algorithms with no calculator, (2) conventional algorithms with calculator, and (3) alternative algorithms using…
Descriptors: Algorithms, Calculators, Community Colleges, Computation
Lankford, Francis G., Jr. – 1972
One hundred seventy-six seventh grade students underwent a recorded interview where each was given a set of computational exercises and asked to say aloud his thinking as he worked them. The most frequently used strategies in computations with whole numbers and fractions are described in detail, an analysis of the nature of wrong answers is…
Descriptors: Algorithms, Computation, Fractions, Grade 7
Cox, Linda S. – 1974
Five reports from a 2-year study are presented. Frequencies and descriptions of systematic errors in the four algorithms in arithmetic were studied in upper-middle income, regular, and special education classrooms involving 744 children. Children were screened for adequate knowledge of basic facts and for receiving prior instruction on the…
Descriptors: Addition, Algorithms, Computation, Division
Weaver, J. Fred – 1979
Refinements of work with calculator algorithms previously conducted by the author are reported. Work with "chaining" and the doing/undoing property in addition and subtraction was tested with 24 third-grade students. Results indicated the need for further instruction with both ideas. Students were able to manipulate the calculator keyboard, but…
Descriptors: Addition, Algorithms, Calculators, Computation
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Lankford, Francis G., Jr. – Arithmetic Teacher, 1974
Descriptors: Algorithms, Computation, Elementary School Mathematics, Fractions
Weaver, J. F. – 1977
The calculator is used to investigate properties and characteristics of certain unary operations. These include how a number is related to the number resulting from a unary operation and the result of two unary operations. A discussion of the calculator algorithm to accomplish a series of unary operations is given. Record sheets to summarize…
Descriptors: Algorithms, Calculators, Computation, Discovery Learning
Hector, Judith H. – 1980
Three different methods of teaching fraction computation were compared using community college student scores on measures of fraction computation, fraction understanding, and attitude towards mathematics. One method used conventional algorithms; the second, a control for the effect of using a calculator, used conventional algorithms and…
Descriptors: Academic Achievement, Algorithms, Calculators, Computation
MacKay, Irene Douglas – 1975
The purpose of this study was to investigate the relationship between a student's confidence in his computational procedures for each of the four basic arithmetic operations and the student's achievement on computation problems. All of the students in grades 5 through 8 in one school system (a total of 6186 students) were given a questionnaire to…
Descriptors: Academic Achievement, Achievement, Algorithms, Computation
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Robitaille, David F. – 1976
Boys' and girls' achievement in arithmetic computation was compared with their feelings of self-confidence in performing computations. A total of 2654 girls and 2786 boys from grades 5 through 8 in one school system participated. Each student was given a test to assess the degree of self-confidence in methods of performing the four basic…
Descriptors: Academic Achievement, Achievement, Algorithms, Computation
Feghali, Issa – 1976
A previous study had confirmed that a substantial number of low achievers in grades 5 through 8 had high algorithmic confidence in each of the four arithmetic operations with whole numbers. The purpose of the present study was to follow up the results through interviewing low achievement-high confidence students in order to ascertain if they…
Descriptors: Academic Achievement, Achievement, Algorithms, Computation
Burrows, J. K. – 1976
Research on error patterns associated with whole number computation is reviewed. Details of the results of some of the individual studies cited are given in the appendices. In Appendix A, 33 addition errors, 27 subtraction errors, 41 multiplication errors, and 41 division errors are identified, and the frequency of these errors made by 352…
Descriptors: Algorithms, Basic Skills, Computation, Elementary School Mathematics
Wiles, Clyde – 1976
Two questions were investigated in this study: (1) How did the computational proficiency of sixth graders who had one year's experience with Developing Mathematical Processes (DMP) materials compare with an equivalent group of students who used the usual textbook program; and (2) What occurs when sixth graders study algorithms as sequences of rule…
Descriptors: Academic Achievement, Algorithms, Basic Skills, Computation