Some recent research findings with implications for improving mathematics instruction are reviewed in this report. The focus is on two topics: computation, in particular subtraction and estimation, and problem solving. Findings about each are listed, with references for each cited study included. Effective algorithms and strategies used by…

The role of review in mathematics instruction is briefly summarized in terms of reasons, timing, and types. Promoting retention is the primary reason for reviewing; continuity, assimilation, diagnosis, learning prerequisites, and confidence are also noted. Research clearly indicates that review should be systematically planned and incorporated…

Briefly summarized are results from a report on mathematics assessments in 32 states. The general trend in mathematics achievement is upward, since the mid-1970's in some states and the early 1980's in others. Patterns are noted for addition, subtraction, multiplication, and division with whole numbers; fractions; decimals; numeration; geometry;…