Discusses the development of data and probability concepts and shows teachers how to engage students in exploring and extending these concepts.

Discusses the early development of data and probability concepts and shows teachers how to introduce some foundational ideas to young students.

CD-ROM contains: Blackline masters for some of the activities illustrated in text -- Two applets for students to manipulate -- Resources for professional development.

Children in prekindergarten focus on counting and gradually master the essential one-to-one matching of an object to a number. By the end of second grade, they can represent one, two and three digit numbers, understand simple fractions and apply a variety of facts and strategies to add and subtract skilfully. This book supports this progression by inviting students to count and order ducklings in a line, compute the total cost of several items on a menu and play a variety of games that reinforce their understanding of number, addition and subtraction.

In grades 3-5, students extend their understanding of place value, larger whole numbers, fractions and decimals. They develop an understanding of multiplication and division, mastering and applying basic facts. Concrete materials can help students represent and reinforce these important concepts. Activities in this book invite students to use fraction circles to compare fractions and dot arrays to explore multiplication and the distributive property.

The book shows teachers how the fundamental ideas of measurement can be introduced to very young students.

Follows students' natural progression from measuring with informal or non-standard units to using standard units to measure such attributes as length, weight, angle and temperature. Activities extend students' learning to the measurement of two-and three-dimensional objects. Students work in a variety of lively real-world contexts, gathering measurement benchmarks in a classroom scavenger hunt and investigating the area of a rectangle while acting as owners of a sticker factory, for example.

This teacher resource offers a detailed introduction to the Hands-On Mathematics program (guiding principles, implementation guidelines, an overview of the processes that grade 3 students use and develop during mathematics inquiry), and a classroom assessment plan complete with record-keeping templates and connections to the Achievement Levels outlined in the Ontario Mathematics Curriculum. It also provides strategies and visual resources for developing students' mental math skills. Each unit is divided into lessons that focus on specific curricular expectations. Each lesson has materials lists, activity descriptions, questioning techniques problem-solving examples, activity centre and extension ideas, assessment suggestions, activity sheets and visuals.--Portage & Main Press.

Features investigations in each of the five content areas of Principles and Standards for School Mathematics. In addition to using Eratosthenes' sieve to identify prime numbers, fourth graders evaluate algebraic relationships in contracts between theatre owners and movie distributors. They consider geometric possibilities for rectangular puzzles, convert surprising real-world measures into equivalent but more comprehensible measures and examine tables and graphs to extrapolate missing data.

This easy-to-read summary is an excellent tool for introducing others to the messages contained in Principles and Standards.