Series:

Navigations

3 total works

Cover of Navigating through Problem Solving and Reasoning in Grade 4
This book 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. As they work, they infer, generalise, reason by analogy, recognise relationships and make representations and they also guess, check and revise and verify their results. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students and additional readings for teachers.

Cover of Navigating through Problem Solving and Reasoning in Grade 3
Through the investigations in this book, children reason about place value by making and using pedometers, understand related changes in two quantities by exploring parade formations of thirty-six marchers and analyse data by devising rules for earning reading certificates. Students apply mathematical ideas from the five main content areas-number, algebra, geometry, measurement and data analysis. As they work, they infer, generalise, reason by analogy, recognise relationships and make representations, and they also guess, check and revise and verify their results. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students and additional readings for teachers.

Cover of Navigating through Problem Solving and Reasoning Grade 6
Problem solving and reasoning are students' processes of actively applying what they know to new problems from diverse areas of mathematics. Knowing a variety of mathematical ideas is insufficient unless students can draw on, integrate and use them to solve challenging, complex problems.

The Navigating through Problem Solving and Reasoning books for grades 3-6 present hands-on investigations that nurture reasoning and problem-solving strategies in each of the upper elementary grades. In lively and challenging investigations for grade 6, students have opportunities to reason about parts of a whole, analyse patterns of growth, discover area formulas for familiar shapes, explore scale factors and similar figures and analyse a set of data to solve a real-world problem: how to arrange competitors in teams for an athletic festival. Students apply mathematical ideas from the five main content areas - number, algebra, geometry, measurement and data analysis. As they work, they infer, generalise, reason by analogy, recognise relationships and make representations and they also predict, check and revise and verify their results.

Includes a supplemental CD-ROM that features applets for students' use and resources for teachers' professional development.