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Science and Mathematics Education

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Masters Theses

1982

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A Comparison Of Hutchings' Low Stress Algorithm And Three Other Methods In Multidigit Multiplication For Calculation Speed And Accuracy, John Byron Connors Aug 1982

A Comparison Of Hutchings' Low Stress Algorithm And Three Other Methods In Multidigit Multiplication For Calculation Speed And Accuracy, John Byron Connors

Masters Theses

High achieving fifth grade students were taught three alternate multiplication algorithms: Hutchings low stress, Gelocian lattice, and partial products (distributive algorithm using indentation). The two independent variables were the four algorithms (three alternate plus traditional) and three problem array sizes (3 x 2, 3, and 4 factors). The three dependent variables were percent accuracy, rate correct, and rate incorrect. A multi-element manipulation design across phases was used varying type of calculation procedure within sessions and type of problem array across sessions. Results showed that all three alternate algorithms were superior to the traditional algorithm on most dependent variable measures. Pre …


A Comparison Of The Hutchings "Low-Stress”, Fulkerson Tens Method, And Conventional Addition Algorithms For Speed, Accuracy And Preference With Regular Education Students, Gregory N. Vaughan Apr 1982

A Comparison Of The Hutchings "Low-Stress”, Fulkerson Tens Method, And Conventional Addition Algorithms For Speed, Accuracy And Preference With Regular Education Students, Gregory N. Vaughan

Masters Theses

The differential calculation power (rate and accuracy) of three separate procedures for addition was investigated. The Hutchings' "low-stress", Fulkerson tens method. and conventional algorithms were compared on 5x7 array addition problems. The subjects were six male first semester third grade students approximately eight and one half years of age. A multielement design was used in which the three algorithms composed the multiple elements. During the last three daily sessions the students were given free choice of algorithms to use. The results indicated that the Hutchings "Low-stress" algorithm was superior to the Fulkerson tens method, which in turn was superior to …


A Component Analysis Of Hutchings' Low-Stress Subtraction Algorithm With Third Grade Students, Karen J. Lascurettes Apr 1982

A Component Analysis Of Hutchings' Low-Stress Subtraction Algorithm With Third Grade Students, Karen J. Lascurettes

Masters Theses

This study measured the effects of what was hypothesized to be the major functional component difference between the Hutchings' low-stress subtraction algorithm and the traditional algorithm: the non-alternation of regrouping and subtraction steps. A multiple baseline design was used with two groups of third grade students. Dependent measures included rate correct, rate incorrect, percent accuracy, and types of errors made. Statistical analysis of the data failed to support the position that the non-alternation of regrouping and subtracting steps in subtraction yielded superior performances with these students. Future research in this area might investigate the inclusion of zeroes in the minuends …