Strategies for Teaching Whole Number Computation
Using Error Analysis for Intervention and Assessment
- David B. Spangler - ActiveMath
Mathematics & Numeracy
Strategies for Teaching Whole Number Computation: Using Error Analysis for Intervention and Assessment provides a model of what can be used as part of a mathematics intervention programme. The material may be used by teachers as a programme to support direct classroom work with whole-number computation at whatever grade level intervention is needed to support these skills.
By focusing on specific student error patterns and then providing pinpoint instruction based on sound pedagogical practices, this resource helps prevent as well as correct errors while providing guidance for teachers to teach in a meaningful way that promotes student understanding.
The book provides four units: Addition, Subtraction, Multiplication, and Division of Whole Numbers. Each unit begins with a diagnostic test in multiple-choice format, followed by an item analysis table that keys student incorrect test responses to specific error patterns, and then provides a detailed section of error patterns with supporting intervention activities. The intervention activities are based on instructional practices supported by research as described in the book's research section.
“I can see this book becoming a very important and seminal piece in mathematics instruction and teaching practice. It allows the instructor to take a proactive and scaffolded approach for teaching students experiencing difficulties in mathematics, and it builds upon the mathematical knowledge of the teacher."
“This book is a must-have for anyone working to remediate students struggling with math. It gets into the types of mistakes/misconceptions students have and gives multiple ways to correct them. It is also a great resource for teachers who need a stronger math background."
"Highly recommended for all K-8 teachers to help all students learn math and be successful! Spangler captures the essence of teaching mathematics to all children through the Response to Intervention focus. This is a very practical and useful math resource for all teachers, including general education teachers as well as special educators."
“The nuts-and-bolts approach to assessment and error analysis make this a real tool for everyday use in real classrooms."
“The comprehensive examples and explanations are exemplary. The book contains a goldmine of information, strategies, and interventions. Most teachers do not have error analysis on their radar—they should, as it is critical for informing instruction and facilitating student learning.”
"A wonderful addition to any professional library. All too often when a student makes a computational error, the prescribed remediation is further drilling. Based on recognized cognitive research, this book provides a model that helps the teacher analyze student work for error patterns and then provide timely, targeted, and meaningful intervention. This book provides well-organized, comprehensive strategies to meet the learning needs of all students."
"This well-designed handbook is for educators whose students struggle with arithmetic operations. It offers valuable assistance to tutors, special educators, and classroom teachers."