Presents a theoretical framework for mathematics teaching research based on a content analysis of Psychology of Mathematics Education proceedings since 1979 and a selection of work outside mathematics education. Discusses the relationship between teachers' beliefs and teacher practice, the relationship between teachers' beliefs and innovation, and…

Proposes the use of children's literature as a method to connect language and mathematics. Presents examples of children's books by mathematical topic and methods by which they can be employed in mathematics instruction. (31 references) (MDH)

Describes four methods to structure estimation activities that enable students to make connections between their understanding of numbers and extensions of those concepts to estimating. Presents activities that connect estimation with other curricular areas, other mathematical topics, and real-world applications. (MDH)

Discusses the two overgeneralizations "multiplications makes bigger" and "division makes smaller" in the context of solving word problems involving rational numbers less than one. Presents activities to help students make sense of multiplication and division in these situations. (MDH)

Describes an activity that demonstrates a teaching-learning model in which students ask yes or no questions to determine an unknown number on a number line. Provides a sequence of five steps to carry out the activity and suggestions for extending and expanding the activity for different grade levels. (MDH)

Describes "The Adventures of Jasper Woodbury," a series of four problem-solving videodisc adventure stories designed for research purposes that provide students with open-ended problems based on real-world situations. Presents design principles, research results, the teacher's role, and technology issues related to the utilization of the…

Attitudes, beliefs, and practice teaching experience of one preservice elementary school teacher in her final year of studies and first year of teaching were examined to investigate constraints preventing the translation of educational theory into classroom practices in mathematics instruction. Results indicate that observed teaching practices…

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.…