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The purpose of this exploratory study was to examine the problem-solving behaviors and perceptions of (n=27) seventh-grade students as they worked on solving a mathematical problem within a small-group setting. An assessment system was developed that allowed for this analysis. To assess problem-solving behaviors within a small group a Group Problem Solving Assessment Instrument was developed. To assess student perceptions a stimulated-recall interview was used. Data were obtained through videotapes of the students working in small groups and audiotapes of stimulated-recall interviews of the individual students. The results suggest the importance of higher level processes used when students talk about the problem with their peers. A continuous interplay of talking about the problem and doing the problem appeared to be necessary for successful problem solving and maximum student involvement. Perceptions, particularly those of higher and lower-ability students, provided an understanding of the observed problem-solving behaviors within groups. The assessment system shows promise of being a powerful tool for examining the internal dynamics of mathematical problem solving in a small-group setting. Contains 25 references. (Author)

1Boy Crusoe

By Allan Eric

Also published as" A Yankee Crusoe" . A 15 year old hard working and studious farm boy finds the lure of adventure on the seas as a merchant seaman more than he can resist. This is his story. " I was born in a little town in the State of Maine, near the close of the Civil War. My boyhood life did not differ materially from that of the average farmer's son in the remote country districts of New England--except, perhaps, that I read more and thought more. Hard work on the rugged soil, two terms each year in the little yellow country schoolhouse, a day's fishing now and then filled the early years of my life full to over-flowing. " What he gets is enough excitement and adventure to overflow his wildest dreams. How he experiences disaster and uses his wits and knowledge to overcome every problem makes for a great read. - Summary by Phil Chenevert