This study examined the mathematical development of 2 children from 18 to 48 months as part of a larger longitudinal study of the impact of home environment on later learning attitudes. It was concluded that early pedagogical strategies may vary in the manner in which they not only pave the way for later development, but also foster expectations…

Describes the design principles behind a set of research-based software microworlds included in the "Building Blocks" program, a pre-kindergarten to grade 2 software-based mathematics curriculum. Discusses how to help children extend and mathematize their everyday activities and presents the nine-step design process model used.…

Summarizes some of the math standards for prekindergarten to Grade 2 developed by NAEYC and NCTM. Presents developmentally appropriate methods of introducing math concepts, involving math games revised from other game styles and math games based on children's literature. Includes examples of and steps for making math games from children's…

Describes the maximum-volume-box problem designed to lead students to a deeper understanding of the problem and its solution. Uses the Geometer's Sketchpad as a learning tool. Illustrates some examples of constructing and using the sketch. (KHR)

Offers examples of materials and activities that promote and guide math-learning opportunities in all areas of the classroom. Materials and activities relate to: (1) art center; (2) science and discovery center; (3) blocks; (4) library and writing centers; (5) music and movement; (6) manipulatives; (7) dramatic play; (8) outdoor play; and (9)…

Describes an activity that provides many opportunities for students to make connections between mathematics and the high interest subject of basketball. (KHR)

Introduces a collection of mathematics activities that use Spain and Spanish culture as the setting for activities that involve graphing, estimation, logical reasoning, geometry, measurement, and computation. These activities are designed to appeal directly to students. (KHR)

Presents weekly activities that focus on various forms of transportation in the world. Students investigate transportation through data collection, geometry, and measurement. (KHR)

Describes a mathematics history project to incorporate research skills with discovering the origins of familiar mathematical concepts. Uses a personal letter from a mathematician about a discovery. (KHR)

A strategy game is an online interactive game that requires thinking in order to be played at its best and whose winning strategy is not obvious. Provides information on strategy games that are written in Java or JavaScript and freely available on the web. (KHR)

Describes how probability is treated in the National Council of Teachers of Mathematics' (NCTM) "Principles and Standards of School Mathematics". (YDS)

Guides students through the process of designing a window. Allows them to use technology and a variety of representations while maximizing and minimizing the dimensions based on cost and light. Includes activity sheets. (Author/NB)

Describes an activity, The Spaghetti Problem, that shows how statistics could be used to introduce many topics in the secondary mathematics curriculum. (KHR)

Describes a situation resulting from a research study on the use of Web-based manipulatives differed from the intuition of teachers. Discusses the reactions of the teachers who participated in the study and offers suggestions on what to do when research results differ from intuition. (KHR)

Presents educational games to promote mathematical reasoning and problem solving in the primary grades. Children take charge of their learning and create exciting challenges for one another. (ASK)