Reviews research on (1) schemata acquisition while learning mathematics and techniques for detecting schema in mathematics learners; and (2) assessment of the distribution of cognitive resources while learning mathematics that lead to the design of instructional techniques to facilitate schema acquisition. (26 references) (MDH)

Proposes using multiple-entry logs in which students reflect on mathematics problems as a focal point for teacher-student interactions during office hour tutoring. Other benefits cited include increased mathematical confidence and awareness; improved connections involving mathematical concepts; improved teacher-student communications and…

Describes seven number-sense skills for elementary and middle school grades. Provides eight short stories for grades three through eight designed to develop students' number-sense skills in which students replace missing data so that the story makes sense. (MDH)

Describes a step-by-step procedure that enables teachers to develop lessons that effectively use software or special calculators in the classroom. Problem-solving strategies and questions are determined that correspond to the technology through which students are able to construct their own knowledge. Illustrates the procedure using spreadsheets,…

To motivate students toward higher achievement and encourage mingling across racial and socioeconomic groups, a team of Florida seventh-grade teachers developed a plan featuring a rotating schedule, enrichment classes for all students, long time-blocks two days weekly, and heterogeneous cohesive groups. The program exposed all students to a…

Explores the concept of extraneous roots in radical equations using an alternative to traditional algebraic methods. Using calculator- or computer-based graphs, accounts for extraneous roots by examining the four possible cases of systems of equations that can produce the solution to the radical equation. (MDH)

Two types of instructional adaptation were explored: routine adaptation (the extent to which teachers establish initial routines to facilitate ongoing adaptation) and specialized adaptation (how teachers modify instructional plans in light of student difficulty). Participants were 110 general educators. (Author/SM)

Describes the evolution of the "Equals" and "Family Math" programs at the University of California (Berkeley) from a single-focus equity program to a multiple focus. Explains specifics of each program's philosophy, methods, and impacts, and describes the program characteristics that enable students to succeed in mathematics.…

Study examined the ways 117 low-socioeconomic third graders interacted during acquisition of new mathematical skills. The effects of cooperative-mastery-learning (CML) strategies on their mathematics achievement were investigated. Two experiments indicated that students exposed to CML performed better than those given more traditional instruction.…

A Navajo blanket design was constructed on a bulletin board and on geoboards. Then a program was written in LOGO to construct the pattern. Both top-down and bottom-up techniques were used. Students were encouraged to make their programs more efficient by utilizing repeat and subprocedures. (GW)

Presents activities in which students develop and analyze scatterplots on graphing calculators to model corn growth, decay, a box of maximum volume, and weather prediction. Provides reproducible worksheets. (MDH)

Examines one mode of mathematical communication--student journal writing. The evaluation of the experimental use in one school of journal writing in mathematics demonstrates a link between language and mathematics and suggests a relationship between students' mathematical writings and their perceptions of mathematics. (Contains 21 references.)…

Discusses the concept of social mathematics in which numerical information is connected to the people and issues of social studies. Maintains elementary students can learn that data represent information from the real world. Includes class activities using historical timelines, data collection, and database computer programs. (CFR)

Discusses research involving instruction to help students develop their mental managerial processes or metacognition, the role of a framework for problem-solving activities, the teacher as model or moderator, problem solving involving groups or pairs, and weaving writing into problem solving. (Contains 18 references.) (MKR)

Outlines a theoretical foundation for a hermeneutical analysis of discourse in middle school mathematics classes. Presents examples of classroom discourse to illustrate the ways in which beliefs about mathematics and mathematical structure are communicated and ways in which appreciation of justification in mathematical discussion develops. (MDH)