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By Edgar L. Edwards

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D. , The Teaching of Algebra. 1932 Yearbook of the National Council of Teachers of Mathematics. : The Council, 1932. Silver. , and Jeremy Kilpatrick. " Paper from Dialogue on Alternative Modes of Assessment for the Future. Mathematical Sciences Education Board, 1987. Skemp, Richard R. The Psychology of Learning Mathematics. ] Lawrence Erlbaum Associates, 1987. THE TRANSITION FROM ARITHMETIC TO ALGEBRA 33 Sobel, Max A. , and Evan M. Maletsky. Teaching Mathematics. : Prentice-Hall, 1988. Steen, Lynn Arthur.

Expectations and the Leaming Environment The classroom of a teacher with high expectations is an orderly and friendly place in which students are expected to have consideration for each other; students should be expected to contribute to each other’s leainin g. A teacher with high expectations makes every minute count for leaming, with students kept on task from opening bell to closing bell (Johnson 1982). A teacher with high expectations creates a nonthreatening leamin g environment in which students are encouraged to ask questions and take risks.

Although we could do much to improve their program, the two top groups are not the key concem because they do have the opportunity to take algebra,which can open doors for future education and provide opportunities in the work force. As discussed at the beginning of this chapter, the target group is that lower one-fourth of the present student population who do not succeed in algebra. The content has been defined and instruction schemes suggested, and each of these is probably also acceptable to us, as teachers, for the two top categories.

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