This study investigated questions asked during tutoring by 27 college students about research methods and by 13 seventh graders about algebra. Student achievement was positively correlated with the quality of questions after students had some experience and training in tutoring, but the frequency of questions was not. (SLD)

Stresses recognition and application of the identity property of 1 across the mathematics curriculum to help students overcome difficulties. (MKR)

Explores algebraic thinking as children search for patterns while collecting, organizing, and graphing data and as they derive equations describing relationships found in the data. (ASK)

Discusses the application of the theory of contingent tutoring to the design of a computer-based system for algebra. Considers help seeking and analyzes interactions between secondary school students and the computer-based tutoring system to explore the relations between individual differences in learner-tutor interaction, learner's prior…

Middle school and high school algebra students (n=2,369) taught in a manner consistent with the National Council of Teachers of Mathematics (NCTM) Standards took three standardized algebra assessments. Middle school students seemed to benefit from the approach, and high school students were neither hindered nor helped. (SLD)

Presents a brief definition and examples of residue designs while sharing some of the algebraic thought that a student used to form generalizations about the patterns discovered during the investigations of residue designs. (ASK)

Details a study in which grade 9 females were assigned to either an all-female or mixed-sex algebra class. Findings indicate that the all-female intervention group demonstrated a greater gain in math scores between grades 8-11 than the nonintervention group. Contains 41 references. (DDR)

Reports that students entering an urban state college still had high remedial placement rates even though they successfully completed college preparatory math and English courses in high school. Discusses the "chain of blame" and concerns regarding the rigor of high school programs. (Contains 45 references.) (AUTH/NB)

Describes changes that are being made in mathematics teachers' subject studies in order to provide students with sufficiently deep knowledge of mathematics and science and with present-day expertise in their profession as teachers. Provides an abstract algebra course as the ultimate example of a pedagogical experiment where co-operative learning…

Presents seven mathematics games, located on the World Wide Web, for elementary students, including: Absurd Math: Pre-Algebra from Another Dimension; The Little Animals Activity Centre; MathDork Game Room (classic video games focusing on algebra); Lemonade Stand (students practice math and business skills); Math Cats (teaches the artistic beauty…

Much of modern mathematical research requires a serious level of commitment and ability on the part of the researcher and, as a natural consequence, precludes any real involvement by undergraduate mathematicians. However, to put it crudely, Computer Algebra Systems, can make experts of us all. With the use of such systems even the average…

This article describes a unit of instruction designed to promote a conceptual understanding of area in sixth-grade students. Students used benchmarks to estimate the areas of real houses and calculated the areas of houses based on building plans. (Contains 7 figures.)

A three-stage model for algebraic word problem solving is developed in which students' understanding of the intrinsic logical structure of word problems is strengthened by connecting real-life problems and formal mathematics. (Contains 3 figure.)

This article discusses relationships between the development of an understanding of algorithms and algebraic thinking. It also provides some sample activities for middle school teachers of mathematics to help promote students' algebraic thinking. (Contains 11 figures.)

This article describes three engaging introductions for topics on a Cartesian graph and the distributive property. (Contains 3 figures.)