The links below are to pages within stable sites and are current as of the date of publication of this workshop. Due to the ever-changing nature of the Web, it is possible that some links may change. Should you reach a non-working link, we recommend entering a couple words from its description into the site's search function, or into a Web-based search engine.
NCTM Middle Grades Algebra Standard
This Web page describes what students should know and be able to do algebraically in grades 6-8, and offers suggestions for the type of classroom activities necessary to develop conceptual understanding.
NCTM High School Algebra Standard
This Web page describes what students should know and be able to do algebraically in grades 9-12, and offers suggestions for the type of classroom activities necessary to develop conceptual understanding.
Quadratic Functions Lessons and Resources:
The Quadratic Function - Descartes
Designed by the Ministry of Education of El Salvador, this site was intended to demonstrate the power of Descartes, a Web-based applet. However, the content used in the demonstration revolves around quadratic functions, and the examples provide interactive content for a secondary classroom.
Quadratic Equation Worksheets
EdHelper.com provides this collection of worksheets involving various aspects of quadratic equations.
Seymour, Dale and Margaret Shedd. Finite Differences: A Pattern-Discovery Approach to Problem-Solving. Palo Alto, CA: Dale Seymour Publications, 1997.
This book, though not exclusively focused on quadratic equations, teaches a method for identifying polynomial functions when given a pattern of coordinates.
Resources on Collaborative Learning:
"Collaborative Learning Enhances Critical Thinking"
In the Journal of Technology Education, scholar Anuradha A. Gokhale examines the effectiveness of individual learning versus collaborative learning in enhancing drill-and-practice skills and critical-thinking skills.
Andrini, Beth. Cooperative Learning & Mathematics (Grades K-8). Kagan Cooperative Publishing.
This book offers various cooperative learning activities that can be used for elementary and middle school mathematics.
Kagan, Spencer. Cooperative Learning. Kagan Cooperative Publishing.
Spencer Kagan provides information and tips on forming teams, classroom management, and lesson planning, and provides some of the research and theory that supports cooperative learning.
Kushnir, Dina. Cooperative Learning & Mathematics High School Activities (Grades 8-12). Kagan Cooperative Publishing.
This book offers various cooperative learning activities that can be used in a high school mathematics class.
Resources on Alternative Assessment:
"Inside the Black Box: Raising Standards Through Classroom Assessment"
Written by researchers Paul Black and Dylan William, this article from the Phi Delta Kappan (Oct. 1988) argues that assessment is an essential component of classroom work and that its development can raise standards of achievement.
Student Self Assessment
This site gives links to resources that will help involve students in the assessment process.
Introduction to Performance Assessment Scoring Rubrics (Chicago Public Schools)
A tutorial on creating rubrics for classroom tasks and several examples of math rubrics from various organizations.
"The Limits of Standardized Tests for Diagnosing and Assisting Student Learning"
This article, presented by the National Center for Fair & Open Testing, discusses the limits of standardized testing for student learning.
General Math Rubric
Consider this math rubric for use in the classroom.
Arter, Judith A. and Jay McTighe. Scoring Rubrics in the Classroom. Corwin Press, 2000.
The authors of this book instruct teachers on how to use rubrics to be more consistent in judging student performance, and how to help students become more effective at addressing their own learning.
Danielson, Charlotte and Elizabeth Marquez. A Collection of Performance Tasks and Rubrics: High School Mathematics. Larchmont, NY: Eye on Education, 1998.
This book contains information on creating and using performance tasks, helpful suggestions for using rubrics to grade tasks, and a collection of tasks ready for classroom.