Mathematical Reasoning Through Verbal Anyalysis
The activities in this book take students far beyond drillandpractice by using stepbystep, discussionbased problem solving to develop a conceptual bridge between computation and the reasoning required for upperlevel math.
Activities and units spiral slowly, allowing students to become comfortable with concepts but also challenging them to continue building their math skills.
This book is designed to be used in a cooperative learning situation. The activities are deceptively simple in appearance but detailed instructions for discussion and analysis are laid out in the Teacher's Manual (Available separately). Group discussion of each exercise is an important factor of this program so it is ideal for use with multiple students.
You'll want to either purchase a student book for each student or have access to a photocopy machine as the student workbook is reproducible for single family or classroom use.
About the Mathematical Reasoning Series:
Most parents know that a child who only memorizes math facts without really understanding math will find progressively complex concepts more and more difficult to understand. But what they erroneously think is that such problems arise about the time a child is memorizing the multiplication table. Not so. Unlike reading, an integral skill that is tightly woven throughout our entire day, math tends to be a more sporadic subject, essential when you need it and then easily set aside. That is why it is imperative that a child is able to reason his way through any mathematical problem.
Awardwinning Mathematical Reasoning is a great place to start. With quick, straightforward problems to build mathematical reasoning skills in children as young as three years old up through eighth grade, these highly motivational activities will take your child beyond mere drill work by using stepbystep, discussionbased problem solving. Concepts spiral gradually so that children do not forget as they go. The concepts are written to the standards of the National Council of Teachers of Mathematics. Nonreproducible.
Table of Contents/Skills:
Number and Numeration
Counting Strategies
The Number Line
Place ValueWhole Numbers, Decimals
Sequences of Numbers
Properties of Numbers
Fractional Parts
Sequences of Fractions
Fractions & Decimal Numbers
Inequalities & EstimationFractions, Decimals
Equivalent Fractions
Geometry
Constructing Geoboard Figures & Polygons
Comparing Lengths & Angles
Figures: Congruent/Similar/Inscribed in Circles
Decomposition of Polygons
Properties of & Classifying Polygons
Shadow Geometry
Geometric Motions
Symmetry
Composing, Decomposing, Separating Regions
Paths and Networks
Operations
Counting Arrays
Multiplying Fractions
Models for Division
Computations Involving Parentheses
Expanded Notation
Fractions and Decimals/Number Properties
Factoring/Flowcharts/Problem Solving
Measurement
Comparing: Lengths/Areas/Polygon Perimeters
Computing: Perimeters, Area, Volumes of Solids
Drawing Polygons
Perimeter & Area
Estimating Circumference/Measurement with Circles
Area on a Geoboard
Volume: Rectangular Solids, Triangular Prisms
Relations
Comparing Numbers
Multiples and Factors
Completing Number Sentences
Sequences of Numbers
Sequences of Ordered Pairs
Pairing Number Sequences
Tables and Sentences in Two Variables
Satisfying Number Properties
Tables and Graphs
Bar Graphs and Interpreting Graphs
Collecting and Presenting Data
Using Tables in Problem Solving
Rules of Ordered Pairs
Using Graphs for Conversion
Using Ordered Pairs and Graphs for Ordered Pairs
