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Using Technology and Problem Solving in Middle and High School Mathematics Investigations Using Scientific and Graphing Calculators, Spreadsheets, and the Geometer's Sketchpad

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ISBN-10: 0131181815

ISBN-13: 9780131181816

Edition: 2007

Authors: Kenneth P. Goldberg

List price: $44.99
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Firmly rooted in the NCTM Principles and Standards, Using Technology and Problem Solving in Middle and High School Mathematics examines why technology is essential to today's mathematics classroom, and illustrates how using technology can encourage and enhance students' study and understanding of mathematics. Inquiry-based, this text provides both a five step model and twenty-three sample investigations that demonstrate how to help students become better problem solvers through the use of four types of instructional technology: the scientific calculator, the graphing calculator, spreadsheet software, and The Geometer's Sketchpad software.
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Book details

List price: $44.99
Copyright year: 2007
Publisher: Prentice Hall PTR
Publication date: 5/11/2006
Binding: Paperback
Pages: 192
Size: 8.00" wide x 10.50" long x 0.25" tall
Weight: 0.990
Language: English

Preface
Recommendations and Guidelines for Using Technology in the Mathematics Classroom
The Scientific Calculator
Research Results on the Classroom Use of the Scientific Calculator
An Investigation into Ancient Egyptian Mathematics and Unit Fractions
An Investigation into Recursively Defined Functions and the Limit of an Infinite Sequence
An Investigation into the Effect of Successive Percentage Increases and Decreases on the Price of an Item
An Investigation into Fixed Points and Converging Sequences
The Graphing Calculator
Research Results on the Classroom Use of the Graphing Calculator
An Investigation into the Formula for the Sum of an Infinite Geometric Series
An Investigation into the Units Digits of Perfect Squares Using Histograms and Frequency Tables
An Investigation into Probability and the Concept of Fairness Through a Simple Program
An Investigation into the Trajectory of an Object in Motion Using Graphs and Tables of Values
A Visual Investigation into the Number of Real Roots of a Polynomial Equation with Real Coefficients
An Investigation into the Relationship between the Coefficients of a First or Second Degree Function and the Behavior of Its Graph
An Investigation into a Visual Discovery of Trigonometric Identities and Relationships
An Investigation into the Derivative Using Both Algebraic and Visual Representations
An Investigation into Converging and Diverging Infinite Series, and Special Mathematical Constants
An Investigation into the Use of Linear and Non-Linear Regression for Curve Fitting and Making Predictions
An Investigation into Exponential Growth and Exponential Regression
An Investigation into Generalized Fibonacci Sequences Using Matrices
Dynamic Geometry Using the Geometer's Sketchpad
Research Results on the Classroom Use of the Geometer's Sketchpad Software
An Investigation Relating the Properties of Quadrilaterals to the Properties of Their Diagonals and Creating a Book of Shapes
An Investigation into Inscribed Quadrilaterals and Triangles
An Investigation of the Sum of the Perpendicular Distances From a Point Inside a Regular Polygon to its Sides
An Investigation into Perimeter and Area Relationships on a Line Segment
An Investigation into Area Relationships Between Inscribed and Circumscribed Circles of Regular Polygons
An Investigation into the Product of the Segments of Intersecting Chords of a Circle
An Investigation into the Geometric Solution of a Minimization Problem Using Reflection of a Point Across a Line Segment