Getting to Know Connected Mathematics: A Guide to the Connected Mathematics Curriculum

by Lappan, Glenda; Fey, James T.; Fitzgerald, William M.; Friel, Susan N.; Phillips, Elizabeth Difanis

• ISBN13: 9781572324381
• ISBN10: 1572324384
• Format: Paperback
• Copyright: 2000-07-01
• Publisher: Pearson Prentice Hall

Table of Contents

Preface	v
The CMP Curriculum
Mathematical Content and Process Goals for CMP	7	(2)
Mathematical Content Goals	7	(1)
Mathematical Process Goals	8	(1)
Mathematical Content and Processes	9	(4)
An Argument About the Area of Triangles	9	(2)
Interaction Between Mathematical Content and Process	11	(2)
Instructional Themes	13	(1)
Organization of the Curriculum	14	(10)
CMP Curriculum for Grades 6, 7, & 8	15	(1)
Scope of the Connected Mathematics Curriculum	16	(1)
CMP and the NCTM Curriculum and Evaluation Standards for School Mathematics	17	(1)
Connections Both Within and Across the Units of CMP	18	(2)
Recommended Order & Unit Connections
Grade 6: Recommended Order & Unit Connections	20	(1)
Grade 7: Recommended Order & Unit Connections	21	(1)
Grade 8: Recommended Order & Unit Connections	22	(1)
An Overview of the Math Strands in the CMP Curriculum	23	(1)
Algebra in CMP	24	(7)
CMP Algebra Goals -- by the End of Eighth Grade	26	(2)
What the Traditional Curricula (Algebra 1) Include that CMP Does Not	28	(1)
What CMP Curriculum Includes that the Traditional Curricula Do Not	28	(1)
The Role of Technology in CMP	28	(3)
Student Materials
Structure and Organization	31	(1)
Features of a Unit	31	(9)
Focusing Questions	32	(1)
Mathematical Highlights	32	(1)
Investigations	33	(1)
Problems with Follow-Up	34	(1)
Applications - Connections - Extensions	34	(1)
Applications	35	(1)
Connections	35	(1)
Extensions	36	(2)
Reflections	38	(1)
Project	39	(1)
Teaching the CMP Curriculum
Problem-Centered Teaching	40	(1)
Worthwhile Mathematical Tasks	40	(4)
Classroom Discourse	41	(1)
Environment	42	(1)
Analysis	43	(1)
Structure of Teacher Materials	44	(2)
Overview of Unit	44	(1)
Teaching Notes for Each Investigation	45	(1)
Assessment Items	45	(1)
Appendices	45	(1)
Descriptive Glossary/Index	45	(1)
The CMP Instructional Model	46	(3)
Launch	46	(1)
Explore	47	(1)
Summarize	48	(1)
Grouping Students in CMP	49	(5)
Individual Work	50	(1)
Small Group Work	50	(1)
Whole Class Grouping	50	(1)
Managing Cooperative Groups	51	(1)
Partner Work in CMP	51	(3)
Assessment
Assessment in CMP	54	(1)
Features of the Assessment Package	54	(11)
Check-Ups	54	(1)
Quizzes	55	(2)
Projects	57	(5)
Unit Tests	62	(1)
Self-Assessment/``Show What You Know''	63	(1)
Question Bank	64	(1)
Organization Tools	65	(8)
Notebooks	65	(1)
Notebook Check	66	(2)
Vocabulary Lists	68	(2)
Journals	70	(1)
Using Assessment for Reporting	71	(2)
Ideas for Portfolio Assessment and CMP	73	(5)
Documenting Mathematical Processes	74	(1)
Content Topics	75	(1)
Reflection and Self-Assessment	75	(1)
Getting Started	76	(2)
A Teacher's Use of Partner Quizzes	78	(2)
Implementing CMP
What It Takes to Make CMP Work	80	(4)
Teacher	80	(1)
Student	80	(1)
The Classroom	80	(1)
Parents	81	(1)
Letters	81	(1)
Parent Meetings	82	(1)
When Parents Say They Can't Help Their Students	83	(1)
How Well Is CMP Working for Students?	84	(3)
Appendices
Appendix A
Beginning of the Year Letter	87	(1)
Sample of a During the Year Unit Letter	88	(2)
Appendix B
Outline of a One Hour Presentation on CMP	90	(1)
Blackline Masters for a Speech	91	(13)
Appendix C
Techniques for the Linguistically Diverse Classroom	104	(10)
References	114