Confronts a widespread prejudice about mathematical knowledge, that mathematics is "culture-free," by demonstrating alternative constructions of Euclidean geometrical ideas developed from the culture of Mozambique. As well as establishing the educational power of these constructions, the article illustrates the methodology of…

Describes a sequence of activities for experimenting with scaling and includes a method for revising any turtle graphic procedure so that it can be drawn to a variety of scales. (PK)

Sets forth the history of the Fibonacci Sequence and details its occurrence in nature and its potential for project work in schools. Ideas and activities include the rabbit problem, investigations of the sequence itself, its relationship to plants, music, snail shells, and the golden section. Computer generation of spirals is also discussed. (PK)

Helping teachers envision how math standards can be integrated into the secondary classroom, this book presents engaging activities and ready-to-use lessons aligned with NCTM content and process standards. This user-friendly book by mathematics educator Timothy J. McNamara is filled with a generous collection of lessons for each of the ten NCTM…

This book explores the factors that influence young people's learning of mathematics. It uses a holistic, socio-culturally informed approach to show how all young people can be encouraged to engage with and learn mathematics. Rich examples from classroom practice are used to connect theory and practice. The role of mathematical tools, including…

There is evidence that structured cooperative logic is an effective way to introduce or reinforce mathematics concepts, explore thinking processes basic to both math and science, and develop the important social skills of cooperative problem-solving. This book contains a number of cooperative logic activities for grades K-4 in order to improve…

This document contains the revisions to the 5-8 Mathematics curriculum produced for Manitoba (Canada) teachers. It contains an introduction and seven content sections: Problem Solving, Algebra, Data Management, Geometry, Measurement, Number Concepts, and Number Operations. The introduction includes discussion of: rationale, goals, big ideas…

This report examines performance differences between Asian, Black, Hispanic, and White students in Delaware on the mathematics portion of the Third International Mathematics and Science Study-Repeat (TIMSS-R). Data analyses show that the mathematics performance gap across ethnic groups is significant. The lowest 100 Black and White performers were…

This profile is designed as a recording sheet for monitoring an individual student's progress throughout the school year. First grade assessment materials and the "Strategies for Instruction in Mathematics" suggest tasks and questions that can be used for on-going and summative assessment. Directions for use and descriptions of levels of…

This profile is designed as a recording sheet for monitoring an individual student's progress throughout the school year. Second grade assessment materials and the "Strategies for Instruction in Mathematics" suggest tasks and questions that can be used for on-going and summative assessment. Directions for use and descriptions of levels of…

This profile is designed as a recording sheet for monitoring an individual student's progress throughout the school year. Fourth grade assessment materials and the "Strategies for Instruction in Mathematics" suggest tasks and questions that can be used for on-going and summative assessment. Directions for use and descriptions of levels of…

This profile is designed as a recording sheet for monitoring an individual student's progress throughout the school year. Fifth grade assessment materials and the "Strategies for Instruction in Mathematics" suggest tasks and questions that can be used for on-going and summative assessment. Directions for use and descriptions of levels of…

Describes typical student strategies for counting cubes in cube buildings and explains why these problems are difficult for students. Suggests instructional tasks that can help students develop more powerful ways of thinking about such problems. Lists two action research ideas related to this issue. (ASK)

Proposes a whole-class view of microworld design in which the total ecology of students, technology, and teacher is considered by the decisions and choices of the design. Presents a case study analysis of a secondary school classroom implementation with a geometry microworld and discusses student affect, participation, and the role of educational…

Described is how using LOGO tools for manipulating embodiments of geometric objects helps students construct more abstract and coherent concepts. Discussions are included on developing verbal definitions versus constructing concepts, tasks for integrating turns and angles, group discussions, and maze tasks. (KR)