Computation of Integers
Math Intervention for Elementary and Middle Grades Students
Published on 21. January 2010
Book
Paperback/Softback
168 pages
978-0-205-56739-3 (ISBN)
Description
This practical new text will empower those educators responsible for math instruction to successfully teach students in grades six through eight, as well as other students, to master computation of integers. Integration of picture-led, step-by-step instruction with accompanying dialogue will aid educators to deliver the exact vocabulary and stepwise procedures necessary for success-that of their students learning the mathematical process to computing integers. Written for math educators including elementary, middle school, special education teachers, tutors and home school teachers, this accessible guide will improve instructors' ability to teach integers, and the confidence in their students to master the subject matter.
Special pedagogical features include:
Student Work Pages for every lesson!
Scripted, step-by-step examples outline how to teach each stage using hands-on, pictorial and abstract approaches.
Concrete to Representational to Abstract sequence of instruction (CRA) in each section of the book and materials.
Instructional lessons with assessment matching inform both the student and the teacher what learning occurred and where to start in order to master the skill.
Cumulative reviews to help eachstudent successfully retain information.
Special pedagogical features include:
Student Work Pages for every lesson!
Scripted, step-by-step examples outline how to teach each stage using hands-on, pictorial and abstract approaches.
Concrete to Representational to Abstract sequence of instruction (CRA) in each section of the book and materials.
Instructional lessons with assessment matching inform both the student and the teacher what learning occurred and where to start in order to master the skill.
Cumulative reviews to help eachstudent successfully retain information.
More details
Persons
Dr. Paul J. Riccomini is an Associate Professor at Clemson University. A former high school math teacher and special education teacher, he provides numerous professional development workshops focused on improving mathematics education through the application of evidenced-based practices. Paul is the author of several research and practitioner articles describing instruction strategies to more effectively teach math.
Content
Computation of Integers:
Math Intervention for Elementary and Middle Grades Students
Introduction
Why Integers?
Overview
Description of Manipulatives
Digit
Tens
Group
Divisor line
Equals sign
Positive or Plus Symbol
Negative or Minus Symbol
Multiplication Symbol
Organization of Materials
Who Can Use This intervention?
How to Use This Intervention
Pretest Assessment
Initial Advance Organizer Lesson
Instructional Lessons
Posttest Assessment
Answer Key
Lesson Format for Introducing Signed Numbers to Students Preparing for Algebra
General Introductory Lesson to Negative Numbers
Student Lesson # 1-Concrete: Adding and Subtracting with Signs Using 0 and 1
Teaching Lesson # 1-Concrete: Adding and Subtracting with Signs Using 0 and 1
Student Lesson # 2-Concrete: Adding and Subtracting with Signs Using 0 through 5
Teaching Lesson # 2-Concrete: Adding and Subtracting with Signs Using 0 through 5
Student Lesson # 3-Representational: Adding and Subtracting with Signs Using 0 through 5
Teaching Lesson # 3-Representational: Adding and Subtracting with Signs Using 0 through 5
Student Lesson # 4-Abstract: Adding and Subtracting with Signs Using 0 through 5
Teaching Lesson # 4-Abstract: Adding and Subtracting with Signs Using 0 through 5
Student Lesson # 5-Abstract: Adding and Subtracting Proficiently with Signs Using 0 through 5
Teaching Lesson # 5-Abstract: Adding and Subtracting with Signs Using 0 through 5
Student Lesson # 6-Concrete: Adding with Mixed Signs Using 0 through 5
Teaching Lesson # 6-Concrete: Adding with Mixed Signs Using 0 and 5
Student Lesson # 7-Representational: Adding with Mixed Signs Using 0 through 5
Teaching Lesson # 7-Representational: Adding with Mixed Signs Using 0 through
Student Lesson # 8-Abstract: Adding with Mixed Signs Using 0 through 5
Teaching Lesson # 8-Abstract: Adding with Mixed Signs Using 0 through 5
Student Lesson # 9-Abstract: Adding Proficiently with Mixed Signs Using 0 through 5
Teaching Lesson # 9-Abstract: Adding Proficiently with Mixed Signs Using 0 through 5
Student Lesson # 10-Abstract: Cumulative Review
Teaching Lesson # 10-Abstract: Cumulative Review
Student Lesson # 11-Concrete: Adding and Subtracting with Mixed Signs Using 0 through 9
Teaching Lesson # 11-Concrete: Adding and Subtracting with Mixed Signs Using 0 through 9
Student Lesson # 12-Representational: Adding and Subtracting with Mixed Signs Using 0 through 9
Teaching Lesson # 12-Representational: Adding and Subtracting with Mixed Signs Using 0 through 9
Student Lesson # 13-Abstract: Adding and Subtracting with Mixed Signs Using 0 through 9
Teaching Lesson # 13-Abstract: Adding and Subtracting with Mixed Signs Using 0 through 9
Student Lesson # 14-Abstract: Adding and Subtracting Proficiently with Mixed Signs Using 0 through 9
Teaching Lesson # 14-Abstract: Adding and Subtracting Proficiently with Mixed Signs Using 0 through 9
Student Lesson # 15-Abstract: Cumulative Review
Teaching Lesson # 15-Abstract: Cumulative Review
Student Lesson # 16-Concrete: Multiplying with Mixed Signs Using 1 through 9
Teaching Lesson # 16-Concrete: Multiplying with Mixed Signs Using 1 through 9
Student Lesson # 17-Representational: Multiplying with Mixed Signs Using 1 through 9
Teaching Lesson # 17-Representational: Multiplying with Mixed Signs Using 1 through 9
Student Lesson # 18-Abstract: Multiplying with Mixed Signs Using 1 through 9
Teaching Lesson # 18-Abstract: Multiplying with Mixed Signs Using 1 through 9
Student Lesson # 19-Abstract: Multiplying Proficiently with Mixed Signs Using 1 through 9
Teaching Lesson # 19-Abstract: Multiplying Proficiently with Mixed Signs Using 1through 9
Student Lesson # 20-Abstract: Cumulative Review
Teaching lesson # 20-Abstract: Cumulative Review
Student Lesson # 21-Concrete: Division with Mixed Signs
Teaching Lesson # 21-Concrete: Division with Mixed Signs
Student Lesson # 22-Representational: Dividing with Mixed Signs
Teaching Lesson # 22-Representational: Dividing with Mixed Signs
Student Lesson # 23-Abstract: Division with Mixed Signs
Teaching Lesson # 23-Abstract: Dividing with Mixed Signs
Student Lesson # 24-Abstract: Dividing Proficiently with Mixed Signs
Teaching Lesson # 24-Abstract: Dividing Proficiently with Mixed Signs
Student Lesson # 25-Abstract: Cumulative Review
Teaching Lesson # 25-Abstract: Cumulative Review
Answer Key
References
Math Intervention for Elementary and Middle Grades Students
Introduction
Why Integers?
Overview
Description of Manipulatives
Digit
Tens
Group
Divisor line
Equals sign
Positive or Plus Symbol
Negative or Minus Symbol
Multiplication Symbol
Organization of Materials
Who Can Use This intervention?
How to Use This Intervention
Pretest Assessment
Initial Advance Organizer Lesson
Instructional Lessons
Posttest Assessment
Answer Key
Lesson Format for Introducing Signed Numbers to Students Preparing for Algebra
General Introductory Lesson to Negative Numbers
Student Lesson # 1-Concrete: Adding and Subtracting with Signs Using 0 and 1
Teaching Lesson # 1-Concrete: Adding and Subtracting with Signs Using 0 and 1
Student Lesson # 2-Concrete: Adding and Subtracting with Signs Using 0 through 5
Teaching Lesson # 2-Concrete: Adding and Subtracting with Signs Using 0 through 5
Student Lesson # 3-Representational: Adding and Subtracting with Signs Using 0 through 5
Teaching Lesson # 3-Representational: Adding and Subtracting with Signs Using 0 through 5
Student Lesson # 4-Abstract: Adding and Subtracting with Signs Using 0 through 5
Teaching Lesson # 4-Abstract: Adding and Subtracting with Signs Using 0 through 5
Student Lesson # 5-Abstract: Adding and Subtracting Proficiently with Signs Using 0 through 5
Teaching Lesson # 5-Abstract: Adding and Subtracting with Signs Using 0 through 5
Student Lesson # 6-Concrete: Adding with Mixed Signs Using 0 through 5
Teaching Lesson # 6-Concrete: Adding with Mixed Signs Using 0 and 5
Student Lesson # 7-Representational: Adding with Mixed Signs Using 0 through 5
Teaching Lesson # 7-Representational: Adding with Mixed Signs Using 0 through
Student Lesson # 8-Abstract: Adding with Mixed Signs Using 0 through 5
Teaching Lesson # 8-Abstract: Adding with Mixed Signs Using 0 through 5
Student Lesson # 9-Abstract: Adding Proficiently with Mixed Signs Using 0 through 5
Teaching Lesson # 9-Abstract: Adding Proficiently with Mixed Signs Using 0 through 5
Student Lesson # 10-Abstract: Cumulative Review
Teaching Lesson # 10-Abstract: Cumulative Review
Student Lesson # 11-Concrete: Adding and Subtracting with Mixed Signs Using 0 through 9
Teaching Lesson # 11-Concrete: Adding and Subtracting with Mixed Signs Using 0 through 9
Student Lesson # 12-Representational: Adding and Subtracting with Mixed Signs Using 0 through 9
Teaching Lesson # 12-Representational: Adding and Subtracting with Mixed Signs Using 0 through 9
Student Lesson # 13-Abstract: Adding and Subtracting with Mixed Signs Using 0 through 9
Teaching Lesson # 13-Abstract: Adding and Subtracting with Mixed Signs Using 0 through 9
Student Lesson # 14-Abstract: Adding and Subtracting Proficiently with Mixed Signs Using 0 through 9
Teaching Lesson # 14-Abstract: Adding and Subtracting Proficiently with Mixed Signs Using 0 through 9
Student Lesson # 15-Abstract: Cumulative Review
Teaching Lesson # 15-Abstract: Cumulative Review
Student Lesson # 16-Concrete: Multiplying with Mixed Signs Using 1 through 9
Teaching Lesson # 16-Concrete: Multiplying with Mixed Signs Using 1 through 9
Student Lesson # 17-Representational: Multiplying with Mixed Signs Using 1 through 9
Teaching Lesson # 17-Representational: Multiplying with Mixed Signs Using 1 through 9
Student Lesson # 18-Abstract: Multiplying with Mixed Signs Using 1 through 9
Teaching Lesson # 18-Abstract: Multiplying with Mixed Signs Using 1 through 9
Student Lesson # 19-Abstract: Multiplying Proficiently with Mixed Signs Using 1 through 9
Teaching Lesson # 19-Abstract: Multiplying Proficiently with Mixed Signs Using 1through 9
Student Lesson # 20-Abstract: Cumulative Review
Teaching lesson # 20-Abstract: Cumulative Review
Student Lesson # 21-Concrete: Division with Mixed Signs
Teaching Lesson # 21-Concrete: Division with Mixed Signs
Student Lesson # 22-Representational: Dividing with Mixed Signs
Teaching Lesson # 22-Representational: Dividing with Mixed Signs
Student Lesson # 23-Abstract: Division with Mixed Signs
Teaching Lesson # 23-Abstract: Dividing with Mixed Signs
Student Lesson # 24-Abstract: Dividing Proficiently with Mixed Signs
Teaching Lesson # 24-Abstract: Dividing Proficiently with Mixed Signs
Student Lesson # 25-Abstract: Cumulative Review
Teaching Lesson # 25-Abstract: Cumulative Review
Answer Key
References