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This report contains case studies of two teachers who attempt to go beyond traditional mathematics curriculum and instruction. There are important differences in the contexts of teaching and in the approaches to studying teaching and learning in these two classrooms. Case study 1 describes a teacher who draws upon professional experiences to initiate change in the classroom. The authors describe elements of the teacher's mathematics teaching, using NCTM Curriculum and Evaluation Standards as a framework for analysis, then analyze the teacher's views about instructional issues, focusing on connections between beliefs and practice. Case study 2 describes a teacher involved in a Mathematics Study Group in a Professional Development School. The authors chronicle the changes in this teacher's thinking and practice during a 3-year period, focusing on her views about, and understanding of, mathematical content, the nature and role of discourse about mathematics, and what constitutes evidence of mathematical learning. The authors also explore the role of collaboration among teachers and between teachers and university participants in discussing the kinds of changes these teachers made. (Contains 15 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