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Teaching learners who struggle with mathematics : systematic intervention and remediation

Author: Helene J Sherman; Lloyd I Richardson; George J Yard
Publisher: Boston : Pearson, ©2013.
Series: Pearson professional development.
Edition/Format:   Print book : English : 3rd edView all editions and formats
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Document Type: Book
All Authors / Contributors: Helene J Sherman; Lloyd I Richardson; George J Yard
ISBN: 9780132820608 0132820609
OCLC Number: 772108271
Description: xvi, 248 pages : illustrations ; 29 cm.
Contents: Machine generated contents note: ch. 1 The Dissimilar Learner and Mathematics Instruction --
A Problem and a Solution --
The Learner-Centered Approach --
Systematic Instruction --
Why Do Students Struggle with Mathematics? --
Environmental Factors That Affect Student Success --
Personal or Individualized Factors That Affect Student Success --
How Is Mathematics Taught Effectively for All Students? --
Developing Mathematics Proficiency --
Finding Use and Daily Value in Learning Mathematics --
Meeting Standards for Dissimilar Learners --
Identifying and Meeting the Needs of Dissimilar Learners --
Conclusion --
Discussion Questions --
References --
ch. 2 Place Value --
The Importance of Place Value --
What Is Place Value? --
Why Do Students Struggle with Place Value? --
Common Errors --
Conceptual Errors --
Procedural Errors --
About the Student: Colin --
Error Patterns: Diagnosis, Prescription, Remediation --
Place Value Error Pattern I for Colin Notating Multi-Digit Numerals Note continued: Place Value Error Pattern II for Colin Order and Equivalence of Multi-Digit Numerals --
Place Value Error Pattern III for Colin Computing in Bases 60 and 12 --
Conclusions: Understanding and Using Place Value Concepts and Skills --
Instructional Activities --
Discussion Questions --
References --
Literature for Teaching Place Value --
ch. 3 Addition of Whole Numbers --
What Is Addition? --
What Should Students Understand About Addition? --
About the Student: Ian --
Error Patterns: Diagnosis, Prescription, Remediation --
Addition Error Pattern I for Ian Renaming Addends --
Addition Error Pattern II for Ian Directionality --
Addition Error Pattern III for Ian Column Addition --
Conclusions: Adding Multi-Digit Numerals with Place Value Fluency --
Instructional Activities --
Discussion Questions --
References --
ch. 4 Subtraction of Whole Numbers --
What Is Subtraction? --
What Should Students Understand About Subtraction? --
About the Student: Caitlin Note continued: Error Patterns: Diagnosis, Prescription, Remediation --
Subtraction Error Pattern I for Cattlin Subtracting Small from Large Numerals --
Subtraction Error Pattern II for Cattlin Deciding When to Rename --
Subtraction Error Pattern III for Cattlin Deciding Where to Rename --
Conclusions: Instructional Strategies Summary --
Instructional Activities --
Discussion Questions --
References --
ch. 5 Multiplication --
What Is Multiplication? --
What Should Students Understand About Multiplication? --
About the Student: Alberto --
Error Patterns: Diagnosis, Prescription, Remediation --
Multiplication Error Pattern I for Alberto Recycling "Carry" Numerals --
Multiplication Error Pattern II for Alberto Regrouping in Multi-Digit Algorithms --
Multiplication Error Pattern III for Alberto Multiplying and Adding Multi-Digit Factors --
Conclusions: Using Place Value and Renaming to Solve for Sensible Products --
Instructional Activities --
Discussion Questions Note continued: References --
ch. 6 Division --
What Is Division? --
What Should Students Understand About Division? --
About the Student: Marie --
Error Patterns: Diagnosis, Prescription, Remediation --
Division Error Pattern I for Marie Long Division Algorithm --
Division Error Pattern II for Marie Value of Zero --
Division Error Pattern III for Marie Recording Quotients --
Conclusions: Instructional Strategies Summary --
Instructional Activities --
Discussion Questions --
References --
ch. 7 Rational Numbers --
What Are Rational Numbers? --
Why Do Students Struggle with Rational Numbers? --
About the Student: Tawana --
Error Patterns: Diagnosis, Prescription, Remediation --
Rational Number Error Pattern I for Tawana Developing Concepts with Objects, Pictures, and Symbols --
Rational Number Error Pattern II for Tawana Addition with Uncommon Denominators --
Rational Number Error Pattern III for Tawana Subtracting with Regrouping Note continued: Rational Number Error Pattern IV for Tawana Multiplying Common Fractions and Mixed Numbers --
Rational Number Error Pattern V for Tawana Dividing Fractions --
Conclusions: Rational Number Conceptual Development; Building Number Sense and Skills --
Instructional Activities --
Discussion Questions --
References --
ch. 8 Decimal Fractions --
What Are Decimals? --
Why Do Students Struggle with Decimals? --
About the Student: Jose --
Error Patterns: Diagnosis, Prescription, Remediation --
Decimal Error Pattern I for Jose Understanding What Decimal Numbers Mean --
Decimal Error Pattern II for Jose Adding Decimals --
Decimal Error Pattern III for Jose Subtracting Decimals --
Decimal Error Pattern IV for Jose Multiplying Decimals --
Decimal Error Pattern V for Jose Using Place Value to Divide Decimals --
Conclusions: Making Sense of Decimal Numbers and Operations --
Instructional Activities --
Discussion Questions --
References --
ch. 9 Problem Solving Note continued: What Is Problem Solving? --
What Does Problem Solving Involve? --
Types of Problems --
Using Heuristics --
Why Do Students Struggle with Problem Solving? --
Literacy Issues --
Number Sense Issues --
Instructional Issues --
Improving Students' Problem-Solving Ability --
Instructional Strategies --
Learning to Solve Problems --
Problem Solving: Step by Step --
Suggested Lesson Plan Structure --
Conclusions: Problem Solving Using Many Tools --
Discussion Questions --
References --
ch. 10 Time and Money --
Time and Money as Measurement Topics --
Learning About Time --
Learning About Money --
Why Do Students Struggle with Learning About Time and Money? --
About the Student: Sarah --
Error Patterns: Diagnosis, Prescription, Remediation --
Time Error Pattern I for Sarah Recording Clock Time --
Time Error Pattern II for Sarah Delayed Time --
Calender Time Error Pattern I for Sarah Counting Days and Weeks --
Money Error Pattern I for Sarah Making Change Note continued: Money Error Pattern II for Sarah Money Notation, Fractions, and Decimals --
Conclusions: Connections to Mathematics and Everyday Problems --
Instructional Activities --
Discussion Questions --
References.
Series Title: Pearson professional development.
Responsibility: Helene J. Sherman, Lloyd I. Richardson, George J. Yard.

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I found this book to be very user-friendly, and easy to follow. Provides good explanations of common misunderstandings, as well useful intervention tools. It clearly states indicators and common Read more...

 
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