Navigating Through Number And Operations In Grades 9 12

This book’s activities probe rational and irrational numbers and investigate properties of integers and complex numbers. They explore numbers and operations embedded in physical objects and show how simple problems can lead to sophisticated considerations. Students examine the usefulness of irrational numbers in designing musical scales and of prime numbers in devising encryption schemes, for example, and they discover powerful ideas from graph theory in a concrete context of dikes, towers and enclosed regions. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students and additional readings for teachers.

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.

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

Teaching Mathematics in grades 6-12 by Randall E. Groth is a core methods text that introduces students to the vibrant and intriguing world of mathematics education. The author shows preservice mathematics teachers the value of being a "researcher"--constantly experimenting with methods for developing students' mathematical thinking--and connecting this research to practices that enhance students' understanding of the types of mathematical knowledge students bring to school and how students' thinking may develop in response to different teaching strategies.

Middle school students consolidate their understanding of integers and rational numbers, increasing their facility with fractions, decimals, and percents and encountering proportionality. This book shows how students can explore these important ideas in such diverse activities as exchanging currency and using area models to develop algorithms for multiplying and dividing fractions. Underlying each activity is the belief that students learn best when they build computational fluency on a firm conceptual foundation. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students, and additional readings for teachers. --Publisher.

Offers ways of presenting and developing three topics emphasised in Principles and Standards for School Mathematics: counting, vertex-edge graphs and iterative and recursive processes.

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.