Implementing Standards-Based Mathematics Instruction : A Casebook for Professional Development

by Stein, Mary Kay; Smith, Margaret Schwan; Henningsen, Marjorie A.; Silver, Edward A.; Ball, Deborah Loewenberg; Stein, Mary Kay

• ISBN13: 9780807739082
• ISBN10: 0807739081
• Format: Hardcover
• Copyright: 2000-04-01
• Publisher: Teachers College Pr

Summary

Teachers and teacher educators interested in synthesizing their current practice with new mathematics standards will welcome this highly useful volume. Presented are cases of mathematics instruction drawn from research of nearly 500 classroom lessons. Readers will gain insight about how to foster a challenging, cognitively rich, and exciting classroom climate that propels students toward a richer understanding of mathematics.

Table of Contents

Foreword	ix
Deborah Ball
Acknowledgments	xv
Introduction	1	(10)
PART I THE MATHEMATICAL TASKS FRAMEWORK
Analyzing Mathematics Instructional Tasks	11	(13)
Defining Levels of Cognitive Demand of Mathematical Tasks	12	(2)
Matching Tasks with Goals for Student Learning	14	(1)
Differentiating Levels of Cognitive Demand	15	(3)
Gaining Experience in Analyzing Cognitive Demands	18	(4)
Moving Beyond Task Selection and Creation	22	(2)
Using Cognitively Complex Tasks in the Classroom	24	(9)
The Evolution of Tasks During a Lesson	24	(2)
Patterns of Task Setup and Implementation	26	(7)
Learning from Cases	33	(8)
Theoretical Considerations	33	(2)
Moving on to Considerations of One's Own Practice	35	(2)
Advantages to Guided Reflection	37	(4)
PART II THE CASES
Introduction to the Cases	41	(6)
The Cases and Supporting Materials	41	(2)
How to Orchestrate Teacher Learning from the Cases	43	(4)
Linking Fraotions, Decimals, and Percents Using an Area Model	47	(18)
The Case of Ron Castleman	47	(9)
Discussion Questions	56	(1)
Teaching Notes	56	(5)
Possible Solution Strategies	61	(4)
Multiplying Fractions with Pattern Blocks	65	(16)
The Case of Fran Gorman and Kevin Cooper	65	(11)
Discussion Questions	76	(1)
Teaching Notes	76	(5)
Giving Meaning to Measures of Central Tendency	81	(15)
The Case of Trina Naruda and Ursula Hernandez	81	(9)
Discussion Questions	90	(1)
Teaching Notes	91	(5)
Using Algebra Tiles to Multiply Monomials and Binomials	96	(14)
The Case of Monique Butler	96	(8)
Discussion Questions	104	(1)
Teaching Notes	105	(5)
Organizing Data	110	(11)
The Case of Nicole Clark	110	(7)
Discussion Questions	117	(1)
Teaching Notes	117	(4)
Solving Problems	121	(16)
The Case of Jerome Robinson	121	(6)
Discussion Questions	127	(1)
Teaching Notes	127	(3)
Possible Solution Strategies	130	(7)
References	137	(4)
Index	141	(4)
About the Authors	145