In a classroom teaching experiment, we explored fifth graders' ability to identify relationships in and between two patterns--what we may refer to as functional relationships. Conventional functions curricula are dominated by defining relationships between two patterns via a rule, describing how to find y or f(x) given a particular value for x…

Many teachers are using the Five Practices model to guide them in orchestrating whole-class mathematics discussions that focus on understanding: (1) anticipate an array of possible student-generated solution strategies to a mathematical task before implementing the lesson; (2) monitor students' work as they grapple with the task; (3) select a…

Presents mathematics activities to teach place value. (Author/YDS)

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)

Describes an 8-week study on sixth-grade students (n=23) to determine the effect of personalizing word problems on students' motivation and ability to write correct mathematical expressions. Data from weekly quizzes and student attitude surveys revealed student motivation and achievement were both enhanced. (MKP)

Explores how to know when children think mathematically, how to establish a setting that elicits mathematical thinking, and what to learn about children as a result. Fourth grade students think and talk mathematically while tackling a real-life PACKETS program. Addresses content standards involving proportional reasoning as well as the process…

Describes a 7-year-old whose mathematical performance in class embodies much of what is important according to "Curriculum and Evaluation Standards for School Mathematics". She speaks little English and therefore scores low on standardized, norm-referenced tests. Concludes that changes in curriculum and classroom instruction require changes in…

Reports on how a school-university partnership used Virginia's Public Education Network to help third graders learn about metamorphosis in insects and the scientific method of experimentation, observation, and data collection. (MKR)

Describes a literature-based approach to helping primary students become more proficient problem solvers in mathematics. Literature-based activities were chosen to develop a sense of community in the classroom. This enabled students to develop the self-confidence to share thoughts and feelings while problem solving in small-group and class…

Five classroom situations in Japanese elementary schools are described and interpreted from perspective of first four standards in the National Council of Teachers of Mathematics (NCTM) Curriculum and Evaluation Standards. Concludes that Japanese children do so well in mathematics because Japanese teachers embody essence of the standards in…