Computation of Fractions: Math Intervention for Elementary and Middle Grades Students

Paperback (Print)
Used and New from Other Sellers
Used and New from Other Sellers
from $9.25
Usually ships in 1-2 business days
(Save 70%)
Other sellers (Paperback)
  • All (15) from $9.25   
  • New (6) from $25.68   
  • Used (9) from $9.25   

Overview

Bradley S. Witzel and Paul J. Riccomini

Computation and Fractions: Math Intervention for Elementary and Middle Grade Students

What really helps students learn math?

Inthis clear, insightful, and practical guide, Dr. Brad Witzel and Dr. Paul Riccomini present elementary and middle school teachers with functional strategies and activities for promoting academic success and aiding their students’ mastery of key mathematical concepts such as fractions. Teachers will gain confidence and insight into how they can help their struggling math students as Witzel and Riccomini coach them through lesson plans that move from concrete to representational to abstract concepts in math and provide them with assessment guides for placement and measurement and reviews that bolster students' content retention.

Drawing from a combination of their years of classroom experience and their extensive research and study, the authors provide in-service and pre-service teachers with step-by-step directions on how to implement each lesson plan effectively in their own classroom.

Dr. Bradley Witzel is an assistant professor of special education at Winthrop University in Rock Hill, South Carolina. He has experience in the classroom as a teacher of students with both high and low incidence disabilities. Witzel has given numerous professional presentations and published research and practitioner articles concerning algebra education and math education for students with and without learning disabilities.

Dr. Paul J. Riccomini is an associate professor of special education at Clemson University and a former high school math and special education teacher. He runs numerous professional development workshops focused on improving mathematics education through the application of evidenced-based practices. Riccomini is the author of several research and practitioner articles concerning effective math instruction strategies.

Read More Show Less

Product Details

  • ISBN-13: 9780205567386
  • Publisher: Pearson
  • Publication date: 10/17/2008
  • Series: Math Intervention Series
  • Edition description: New Edition
  • Pages: 192
  • Sales rank: 815,450
  • Product dimensions: 8.30 (w) x 10.60 (h) x 0.50 (d)

Meet the Author

Dr. Paul J. Riccomini is 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.

Dr. Bradley Witzel is an assistant professor of special education at Winthrop University in Rock Hill, South Carolina. He has experience in the classroom as an inclusive and self contained teacher of students with higher incidence disabilities as well as a classroom assistant and classroom teacher of students with low incidence disabilities. Dr. Witzel has taught undergraduate and graduate courses in educational methods for students with disabilities and secondary students with disabilities coupled with ELL and LEP needs, introduction to learning disabilities, introduction to special education, functional behavior assessment, motivation and behavioral methods, elementary math methods, learning theories and strategies, and he has supervised interns in elementary, secondary, and special education certification tracks as well as inclusion practices. He has given numerous professional presentations including strategic math, algebra instruction, word problem solving, community and parent involvement for reading programs, motivational classroom management, and student-led IEPs. He has published research and practitioner articles in algebra education and math education for students with and without learning disabilities as well as functional assessment and motivation procedures. Additionally, he patented an algebra technique and is the author of the book, Multisensory Algebra, a hands-on resoure of pictorial algebra techniques. Dr. Witzel currently focuses on the development of special education teachers and works to provide researched-validated practices and interventions to pre-service and in-service teachers. Brad holds his B.S. in psychology and special education from James Madison University and his M.Ed. and Ph.D. in special education from the University of Florida.

Read More Show Less

Table of Contents

Introduction ..............................................................................6

NCTM Process Standards...........................................................8

The Sequence and Standards .....................................................9

Description of Manipulatives ....................................................11

Organization of Materials ........................................................14

Who Can Use this Intervention? ................................................15

How to Use this Intervention ....................................................16

Pretest Assessment .................................................................22

Instructional Lessons ...............................................................23

Lesson 1 — Division with Fractional Answers — concrete level

learning sheet...................................................................................24

Teaching Lesson 1 — Division with Fractional Answers — concrete level

lesson plan.......................................................................................25

Lesson 2 — Division with Fractional Answers — representational

level learning sheet ...........................................................................30

Teaching Lesson 2 — Division with Fractional Answers — representational

level lesson plan ...............................................................................31

Lesson 3 — Division with Fractional Answers — abstract level

learning sheet...................................................................................34

Teaching Lesson 3 — Division with Fractional Answers — abstract level

lesson plan.......................................................................................35

Lesson 4 — Division with Fractional Answers — generalized abstract

level learning sheet ...........................................................................38

Lesson 5 — Division with Fractional Answers — concrete level

learning sheet...................................................................................39

Teaching Lesson 5 — Division with Fractional Answers — concrete level

lesson plan.......................................................................................40

Lesson 6 — Division with Fractional Answers — representational

level learning sheet ...........................................................................46

Teaching Lesson 6 — Division with Fractional Answers — representational

level lesson plan ...............................................................................47

Lesson 7 – Division with Fractional Answers – abstract level

learning sheet...................................................................................50

Teaching Lesson 7 – Division with Fractional Answers – abstract level

lesson plan.......................................................................................51

Lesson 8 – Multiplication of Fractions – concrete level learning

sheet ...............................................................................................54

Teaching Lesson 8 – Multiplication of Fractions – concrete level

lesson plan.......................................................................................55

Lesson 9 – Multiplication of Fractions – representational level

learning sheet...................................................................................62

Teaching Lesson 9 – Multiplication of Fractions – representational level

lesson plan.......................................................................................63

Lesson 10 – Multiplication of Fractions – abstract level learning

sheet ...............................................................................................67

Teaching Lesson 10 – Multiplication of Fractions – abstract level lesson

plan .................................................................................................68

Lesson 11 – Multiplication of Fractions – generalized abstract level

learning sheet...................................................................................71

Lesson 12 – Division of Fractions – abstract level learning sheet .........72

Teaching Lesson 12 – Division of Fractions – abstract level lesson plan....73

Lesson 13 – Division of Fractions – abstract level learning sheet .........76

Teaching Lesson 13 – Division of Fractions – abstract level lesson plan....77

Lesson 14 – Division of Fractions – abstract level learning sheet .........80

Teaching Lesson 14 – Division of Fractions – abstract level lesson plan .....81

Lesson 15 – Finding Equivalent Fractions – concrete level

learning sheet...................................................................................83

Teaching Lesson 15 – Finding Equivalent Fractions – concrete level

lesson plan.......................................................................................84

Lesson 16 – Finding Equivalent Fractions – representational level

learning sheet...................................................................................89

Teaching Lesson 16 – Finding Equivalent Fractions – representational

level lesson plan ...............................................................................90

Lesson 17 – Finding Equivalent Fractions – abstract level learning

sheet ...............................................................................................93

Teaching Lesson 17 – Finding Equivalent Fractions – abstract level

lesson plan.......................................................................................94

Lesson 18 – Finding Equivalent Fractions – generalized abstract

level learning sheet ...........................................................................97

Lesson 19 – Reducing and Comparing Fractions – concrete level

learning sheet...................................................................................98

Teaching Lesson 19 – Reducing and Comparing Fractions – concrete

level lesson plan ...............................................................................99

Lesson 20 – Reducing and Comparing Fractions – representational

level learning sheet .........................................................................103

Teaching Lesson 20 — Reducing and Comparing Fractions —

representational level lesson plan ....................................................104

Lesson 21 — Reducing and Comparing Fractions — abstract level

learning sheet.................................................................................107

Teaching Lesson 21 — Reducing and Comparing Fractions — abstract level

lesson plan.....................................................................................108

Lesson 22 — Reducing and Comparing Fractions — generalized

abstract level learning sheet ............................................................111

Lesson 23 — Adding and Subtracting Fractions with Like

Denominators — concrete level learning sheet ...................................112

Teaching Lesson 23 — Adding and Subtracting Fractions with Like

Denominators — concrete level lesson plan .......................................113

Lesson 24 — Adding and Subtracting Fractions with Like

Denominators — representational level learning sheet .......................120

Teaching Lesson 24 — Adding and Subtracting Fractions with Like

Denominators — representational level lesson plan ...........................121

Lesson 25 — Adding and Subtracting Fractions with Like

Denominators — abstract level learning sheet....................................124

Teaching Lesson 25 — Adding and Subtracting Fractions with Like

Denominators — abstract level lesson plan........................................125

Lesson 26 — Adding and Subtracting Fractions with Like

Denominators — generalized abstract level learning sheet..................127

Lesson 27 — Adding and Subtracting Fractions with Unlike

Denominators — concrete level learning sheet ...................................128

Teaching Lesson 27 — Adding and Subtracting Fractions with Unlike

Denominators — concrete level lesson plan .......................................129

Lesson 28 — Adding and Subtracting Fractions with Unlike

Denominators — representational level learning sheet .......................139

Teaching Lesson 28 — Adding and Subtracting Fractions with Unlike

Denominators — representational level lesson plan ...........................140

Lesson 29 — Adding and Subtracting Fractions with Unlike

Denominators — abstract level learning sheet....................................145

Teaching Lesson 29 — Adding and Subtracting Fractions with Unlike

Denominators — abstract level lesson plan........................................146

Lesson 30 — Adding and Subtracting Fractions with Unlike

Denominators — generalized abstract level learning sheet..................149

Cumulative Review Problem Sets A—G ....................................150

Posttest ................................................................................159

Answer Key...........................................................................160

References............................................................................182

Appendix ..............................................................................183

Read More Show Less

Customer Reviews

Average Rating 5
( 1 )
Rating Distribution

5 Star

(1)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously
Sort by: Showing 1 Customer Reviews
  • Posted June 12, 2013

    WOW... I love MyDeals247 model - they create competition among t

    WOW... I love MyDeals247 model - they create competition among the sellers real-time.

    Was this review helpful? Yes  No   Report this review
Sort by: Showing 1 Customer Reviews

If you find inappropriate content, please report it to Barnes & Noble
Why is this product inappropriate?
Comments (optional)