Pedagogy and Content in Middle and High School Mathematics / edited by G. Donald Allen, Amanda Ross.

Format:

Book

Contributor:

Allen, G. Donald., Editor.

Ross, Amanda., Editor.

Language:

English

Subjects (All):

Education.

Local Subjects:

Education.

Physical Description:

1 online resource (CCXCVIII, 12 p.)

Edition:

1st ed. 2017.

Place of Publication:

Rotterdam : SensePublishers : Imprint: SensePublishers, 2017.

Summary:

The book provides an accumulation of articles, included in Focus on Mathematics Pedagogy and Content, a newsletter for teachers, published by Texas A&M University. Each article presents a discussion of a middle or high school mathematics topic. Many of the articles are written by professors at Texas A&M University. The book is broken into three parts, with the first part focusing on content and pedagogy, related to the NCTM content strands of Number, Algebra, Geometry, Measurement, and Statistics and Probability. Articles include an in-depth presentation of mathematical content, as well as suggested instructional strategies. Thus, the integration of content knowledge and pedagogical knowledge is emphasized. The second and third parts apply to assessments, mathematical games, teaching tips, and technological applications. While other pedagogical reference books may provide an in-depth look at how to teach a topic, this book includes articles that also explain a topic, in great length. Thus, teachers may develop content knowledge first and then re-read each article, in order to learn appropriate instructional strategies to use. Many articles include technological applications, which are interspersed throughout the book. In addition, a special section, which includes helpful information, available tools, training sessions, and other references, for using technology in mathematics, is also presented.

Contents:

Preliminary Material / G.Donald Allen and Amanda Ross

A Brief History of Zero / G.Donald Allen

Approximating PI / G.Donald Allen

The Caesar Cypher / G.Donald Allen

How Big Is Infinity? / G.Donald Allen

Making Complex Arithmetic Real! / George Tintera

Early PI / G.Donald Allen

Primes, Perfect Numbers and Magic Numbers (Just for Fun) / G.Donald Allen

How Do We Define the Number “1?” / G.Donald Allen

Percentage Problems / G.Donald Allen

Microwave Math / G.Donald Allen

Fantasy Problems and Flying Carpet Solutions / G.Donald Allen

The Mystery of the New “Planet” (Or How Regression Saved the Day) / G.Donald Allen

Geogebra in the Classroom / Diem M. Nguyen

Working Together / G.Donald Allen

A Brief Look at Circles / Amanda Ross

Optimization – With and without Calculus / G.Donald Allen

Pythagorean Triples Plus One / G.Donald Allen

A Brief Look at Derivatives / Amanda Ross

A Brief Look at Arithmetic and Geometric Sequences / Amanda Ross

A Brief Look at Sigma Notation / Amanda Ross

Communicating with Life in the Universe / G.Donald Allen

The Mathematical Mystery of the Pyramid / G.Donald Allen

The Sphere Packing Problem / G.Donald Allen

Big, But Not Really Big Numbers / G.Donald Allen

The Net of a Cone / Sandra Nite

Area of a Circle / Dianne Goldsby

Geometry Meets Algebra – Super-Conic Constructions, Part I / G.Donald Allen

Geometry Meets Algebra – Super-Conic Constructions, Part II / G.Donald Allen

Let’s Make War—Just for Fun / G.Donald Allen

A Brief Look at Probability / Amanda Ross

Area Under the Normal Curve / Amanda Ross

Finding the Area Under the Normal Curve Using the Graphing Calculator / Amanda Ross

Hypothesis Testing / Amanda Ross

A Brief Look at Expected Value / Amanda Ross

The Evil Twins – Testing and Stress / G.Donald Allen

Unfairness in Testing – Mathematics and Simulations / G.Donald Allen

Online Assessments in Math / Amanda Ross

When It Comes to Math, What Exactly Are We Testing for? / G.Donald Allen and Sandra Nite

Assessment Via High-Stakes Testing / Amanda Ross

High-Stakes Testing / Amanda Ross

Low-Stakes Tests and Labels / Amanda Ross

What Technology Works for Teaching Mathematics and Why – A Perspective, Part I / G.Donald Allen

Using Technology in Teaching Math / Antonija Horvatek

What Technology Works for Teaching Mathematics and Why – A Perspective, Part II / G.Donald Allen

The Graphing Calculator / Amanda Ross

Problems in Mathematical Recreation / G.Donald Allen

A Mile of Pennies / Dianne Goldsby

Easy Problems / G.Donald Allen

Mathematical Games and Learning / Amanda Ross

Two Great Software Tools (Winplot and Mathtrax) / G.Donald Allen

Using Polya’s Problem Solving Process in the Mathematics Classroom to Prepare for TAKS / Sandra Nite

Problem-Solving Strategies – A Quick Checklist / G.Donald Allen

What Is Mental Math? / Donna Lackey

A Digital Simulation for Prospective Teachers to Teach Algebra Concepts for Equity / Tingting Ma

Teaching Is a Balancing Act / G.Donald Allen.

Notes:

Includes bibliographical references and index.

ISBN:

9789463511377

9463511377

OCLC:

1012343765