Explores how children from kindergarten to 6th grade think about the same fraction problem and what that should mean for instruction. (Author)

Describes a project that gives students hands-on experience in the careers of statistician and mathematics teacher as they plan and teach a lesson on problem-solving, then assess its effectiveness. (Author)

Explains the suggestion in "Principles and Standards for School Mathematics" that teachers should expect students to "act as mathematicians." Defines what that might mean and presents an instructional model that focuses on problem solving. (Author/YDS)

Explains the Geometric Standard of the "Principles and Standards for School Mathematics" (NCTM, 2000) which emphasizes the usefulness of geometric ideas in representing and solving problems across the mathematics curriculum. Discusses this Standard and illustrates it with classroom examples. (Contains 45 references.) (YDS)

Looks at how some Portuguese preservice teachers are learning how to implement Standards-based teaching strategies. (YDS)

Investigates how mathematics is used in various careers. Students explore number sense and operations, logical reasoning, data analysis, and algebra. (Author/NB)

Presents some strategies for successfully implementing tasks that engage students at high cognitive levels. (YDS)

Describes a project in which middle grades students are asked to write in mathematics class with the goal of determining whether it changes their opinions of writing as an integral part of mathematics. (Contains 14 references.) (YDS)

The concepts, processes, and methods found in science are used in other disciplines. Many science-class activities are predicated on students' reading and writing skills. Students read textbooks, read directions for conducting experiments, and write their own reports of observation. Integrating science with mathematics usually requires little…

Despite a 1986 National Council of Teachers of Mathematics recommendation calling for the inclusion of calculators in all aspects of math instruction, most math departments have an unwritten rule restricting classroom use of calculators. Teachers must accommodate the new essential skills, even if it means eliminating traditional practices.…

Two experiments involving a total of 40 three and 39 four year olds were undertaken to determine subjects' ability to sort and compare numbers according to magnitude. Results indicate that readiness skills for early childhood mathematics education should include development of appropriate concepts of number magnitude. (TJH)

The article offers teachers suggestions on ways to instruct elementary students in the vocabulary of mathematics. It gives examples of math difficulties at the elementary school level, math difficulties related to vocabulary, and math difficulties related to problem solving. (DB)

Recent research suggests that knowledge is stored in the learner's head as a network of concepts or constructs. Children's mathematical problem-solving strategies become increasingly abstract as they are able to engage in more abstract thinking. An experimental study using an alternative Cognitively Guided Instruction approach is described.…

Provides a brief overview of past research in mathematical problem solving, discusses the apparent recent decline in research in this area, and suggests some issues and questions that should be the focus of research. (42 references) (MKR)

A computer algebra system was integrated into instruction for two large classes of mathematics for business and the social sciences. Comparisons of student achievement and attitude showed no significant differences, but other implications of the study are discussed. (23 references) (LZ)