It is a pity that for so many people not involved in Teaching, and for a surprising number who are, mathematics in schools is "chiefly" all about the ability to know a set of facts, multiplication tables and addition bonds in particular, rather than the capacity to reason and explore patterns and relationships in Number and Shape.…

This theoretical analysis articulates verbal rule properties and use implications, describes an empirical study examining characteristics of problem solving performance when verbal rules are instructed as a problem solving method, and discusses role of verbal rules in problem solving and implications for learning procedural skills. (MBR)

Discusses an adaptive diagnostic test used as part of an instructional program in signed-number arithmetic on the PLATO system. Findings indicated that differences in prior and subsequent instructional methods affected the learning of more advanced materials and produced lower achievement scores on posttests. Thirty-two references are listed. (MER)

IN THIS REPORT THE UNITED FEDERATION OF TEACHERS (UFT) ANALYZES SPECIFIC DATA FROM THE CENTER FOR URBAN EDUCATION'S (CUE) NEGATIVE EVALUATION OF NEW YORK CITY'S MORE EFFECTIVE SCHOOLS (MES) PROGRAM AND CHARGES THAT CUE'S CONCLUSIONS ARE INVALID. THE UFT MAINTAINS THAT SINCE 18 OF THE 21 MES WERE FORMER SPECIAL SERVICE (SS) SCHOOLS, CUE SHOULD HAVE…