Discusses and provides sample lessons of learning by discovery and weekly problem sets, which are presented as alternative methods for teaching college calculus. Both approaches stress conceptual understanding and guide the students to explore the ideas of calculus in small groups in a computer laboratory setting. (JJK)

Describes and illustrates the Monomial Sums Approach, a graphical learning strategy, facilitated by microcomputer capabilities that allow easy manipulation and exploration of graphical representations of polynomial functions. Reduces emphasis on memorized rules in favor of qualitative understanding of functional behavior, visualization of…

Presents three features of "Good" questions: requires students to do more than simply remember a strategy to answer; promotes student learning while answering the question; and have several acceptable answers. Considers how questions can be used to cater to the range of student abilities. (MDH)

Presents and discusses assumptions for a general-mathematics problem-solving curriculum that incorporate the belief that all students can do algebra, geometry, and trigonometry, that mathematics must be presented in problem situations, and that students should work cooperatively. Worksheets provide exemplary problem-solving activities. (MDH)

Presents a gamelike context that provides general-mathematics students the opportunity to explore situations involving chance and develop reasoning about probability. Provides three worksheets for activities that promote components of the NCTM's Curriculum and Evaluation Standards for School Mathematics. (MDH)

Presents results of 46 randomly selected children's performance measurement and partitive division problems when remainders are zero, nonzero but not used in the solution, and nonzero and used in the solution. Results indicate that children demonstrate an understanding of division prior to formal instruction. (MDH)

Discusses the use of the LOGO programing language as a problem-solving tool for elementary school students. Papert's theory is explained; the integration of LOGO into the language arts and math curricula is discussed; LOGO research is reviewed; and recommendations for future work are offered. (18 references) (LRW)

Reviews less common research conclusions published after 1986 on the use of computers in mathematics education. Presents six conclusions that teachers should accept with caution. Conclusions refer to cooperative learning, sex bias, disadvantaged students, problem-solving skills, and remedial mathematics students. (MDH)

The Microcomputer Adaptive Testing High-Risk-Urban Students (MATH-R-US) project made computerized assessment an integral part of remedial high school mathematics at an inner-city school with predominantly African-American students. Results suggest that the girls exhibited greater self-esteem toward using computers than did boys and that…

The third in a series of 3 articles, a study of 30 students was conducted to test the effect of restructuring a unit on trigonometric identities around microcomputer activities based on the themes of educational undercurrents identified in Part II. Experimental-group students scored significantly higher relating trigonometric functions to their…

Describes a study conducted in Northern Ireland that investigated the impact of personal computers on pupils' cognitive and affective development. Topics addressed include attitudes toward English, math, or science; gender differences; process-based work versus content learning; and treatment of experimental and control groups. (Contains five…

Discusses a five-year study of an integrated curriculum model in which a science/reading strategy replaced traditional reading/writing instruction. How instructors exploited the links between print and visual literacy with video, television programming, and other media is detailed. A related project that helps K-12 teachers develop graphics and…

Describes a partnership that was formed to develop a fiber optic interactive network and its interface with the development of algebra curriculum and social services in the PATH (Partnership for Access to Higher) Mathematics project in Texas. Equipment connections, costs, and classroom layout are described; and social work components are…

Presents a case study of a first-grade class and their teacher who were observed as they ascribed mathematical meanings of numbers and of numerical operations to empirical phenomena. Differences in ascriptions led to negotiation of meanings. Discusses some indirect relations between social interaction and mathematics learning. (Contains 60…

Studied relationships between intended, implemented, and tested curricula of (n=84) classes of eighth-grade mathematics students based on data from the Second International Mathematics Study (SIMS). Analysis indicated the SIMS test for eighth graders was not representative of curriculum defined by students' texts. (Contains 22 references.)…