The SIOP Model for Teaching Mathematics to English Learners

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  • Edition: 1st
  • Format: Paperback
  • Copyright: 2009-09-21
  • Publisher: Pearson

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Enhance your Mathematics content instruction with the SIOP Model and transform the academic English and mathematics skills of your English learners. KEY TOPICS:Presents research-based, SIOP-tested techniques for lessons specifically for the mathematics classroom. This highly anticipated book,The SIOP Model for Teaching Mathematics to English Learnersaddresses the issues faced in teaching math to English learners (ELs) at each grade-level. SIOP techniques and activities organized around the eight SIOP components guide educators in promoting academic language development along with comprehensible mathematics content. K-12 teachers, math coaches, curriculum coordinators, and intervention specialists.

Author Biography

Deborah J. Short is a professional development consultant and a senior research associate at the Center for Applied Linguistics in Washington, DC. She co-developed the SIOP® Model for sheltered instruction and has directed national research studies on English language learn-ers funded by the Carnegie Corporation, the Rockefeller Foundation, and the U.S. Dept. of Education. She recently chaired an expert panel on adolescent ELL literacy. As the director of Academic Language Research & Training, Dr. Short provides professional development on sheltered instruction and academic literacy around the U.S. and abroad. She has numerous publications, including the SIOP® book series and five ESL textbook series for National Geographic/Hampton-Brown. She has taught English as a second/foreign language in New York, California, Virginia, and the Democratic Republic of Congo.


Jana Echevarría is a Professor Emerita at California State University, Long Beach. She has taught in elementary, middle, and high schools in general education, special education, ESL, and bilingual programs. She has lived in Taiwan, Spain and Mexico. An internationally known expert on second language learners, Dr. Echevarría is a Fulbright Specialist. Her research and publications focus on effective instruction for English learners, including those with learning disabilities. Currently, she is Co-Principal Investigator with the Center for Research on the Educational Achievement and Teaching of English Language Learners (CREATE) funded by the U.S. Department of Education, Institute of Education Sciences (IES). In 2005, Dr. Echevarría was selected as Outstanding Professor at CSULB.


MaryEllen Vogt, Ed.D., is Professor Emerita of Education at California State University, Long Beach. MaryEllen has been a classroom teacher, reading specialist, special education specialist, curriculum coordinator, and university teacher educator. She received her doctorate from the University of California, Berkeley, and is a co-author of fifteen books, including Reading Specialists and Literacy Coaches in the Real World (3rd ed., 2011) and the SIOP® book series. Her research interests include improving comprehension in the content areas, teacher change and development, and content literacy and language acquisition for English learners. She was inducted into the California Reading Hall of Fame, received her university’s Distinguished Faculty Teaching Award, and served as President of the International Reading Association in 2004–2005.

Table of Contents




Chapter 1: Introduction and Review of the SIOP MODEL

Chapter 2: The Academic Language of Mathematics

Chapter 3: Activities and Techniques for Planning SIOP Mathematics Lessons

Chapter 4: Lesson and Unit Design for SIOP Mathematics Lessons

Chapter 5: Pulling It All Together

Appendix A: SIOP Model Components and Features



         Key Components of the SIOP Model

1.      Lesson Preparation

2.      Building Background

3.      Comprehensible Input

4.      Strategies

5.      Interaction

6.      Practice & Application

7.      Lesson Delivery

8.      Review & Assessment

Why Is the SIOP Needed Now?

Organization and Purpose of This Book



            What is Academic Language?

            How Does Academic Language Fit Into the SIOP Model?

How Is Academic Language Manifested in Classroom Discourse?

Why Do English Learners Have Difficulty with Academic Language?

How Can We Effectively Teach Academic Language In Mathematics?

            The Role of Discussion and Conversation in Developing Academic Language

What is the Academic Language of Mathematics?

In Summary

Appendix B Academic Math Vocabulary Based on NCTM Content and Process Standards



                   LESSONS By Araceli Avila and Melissa Castillo


    Lesson Plan Format

            Math Techniques and Activities

                        SIOP Math Techniques and Activities: Lesson Preparation

                                    Number 1-3 for Self Assessment of Objectives

                                     SIOP Lesson Plan

                                     BLM 3.1 What Do You Know About Geometric Shapes?

                        SIOP Math Techniques and Activities: Building Background

                                    4 Corners Vocabulary Chart

                                    KWL Chart

                                    SIOP Lesson Plan

                        SIOP Math Techniques and Activities: Comprehensible Input

                                    Math Representations Graphic Organizer

                                     BLM 3.2 Math Representations Graphic Organizer

                                     SIOP Lesson Plan

                        SIOP Math Techniques and Activities:  Strategies

                                    You Are the Teacher

                                    SIOP Lesson Plan

                                    BLM 3.3 Let’s Measure

                                    Vocabulary Alive

                                     SIOP Lesson Plan

                        SIOP Math Techniques and Activities:  Interaction

                                    Conga Line

                                    Group Responses with a White Board

                                    SIOP Lesson Plan

                                    Find Your Match

                        SIOP Math Techniques and Activities:  Practice & Application


                        SIOP Math Techniques and Activities:  Review & Assessment

                                    Find Someone Who

                                     SIOP Lesson Plan

                                     BLM 3.4 Colored Triangles

            In Summary



By Araceli Avila and Melissa Castillo


            Math unit-grades k-2

                        Overview of the unit

                        SIOP Planning Flow Chart

                        SIOP Lesson Plan-Day 1

                                    BLM 1.1 Vocabulary Activity Sheet

                        SIOP Lesson Plan-Days 2-3

                                    BLM 2.1 Let’s Measure the Length of…

                        SIOP Lesson Plan-Day 4

                                    BLM 4.1 Measuring Length and Distance

                        SIOP Lesson Plan-Day 5

            Math Unit-Grades 3-5

                        Overview of the unit

                        SIOP Planning Flow Chart

                        SIOP Lesson Plan-Day 1

                                    BLM 1.1 4-Corners Vocabulary Activity Sheet

                                    BLM 1.2 Shape Characteristics

                        SIOP Lesson Plan-Days 2

                                    BLM 2.1 Colored Triangles

                        SIOP Lesson Plan-Day 3-4

                        SIOP Lesson Plan-Day 5

Math Unit-Grades 6-8

                        Overview of the unit

                        SIOP Planning Flow Chart

                        SIOP Lesson Plan-Day 1-2

                                    BLM 1.1 Integer Dollar Cards

                                    BLM 2.1 Lab Sheet

                                    BLM 2.2 Instruction for Who is Colder? Card Game

                        SIOP Lesson Plan-Days 3

                                    BLM 3.1 Integers Venn Diagram

                                    BLM 3.2 Weather News Transparency

                                    BLM 3.3 Adding Integers Lab Sheet

                                    BLM 3.4 Simultaneous Round Table Activity Sheet

                        SIOP Lesson Plan-Day 4

                                    BLM 4.1 Subtracting Integers Lab Sheet

                                    BLM 4.2 Fun With Integers Instructions

                                    BLM 4.3 Fun With Integers Recording Sheet

                        SIOP Lesson Plan-Day 5

                                    BLM 5.1 Where is The Submarine?

                                    BLM 5.2 Applying Integers Lab Sheet

Math Unit-Grades 9-12

                        Overview of the Unit

                        SIOP Planning Flow Chart

                        SIOP Lesson Plan-Days 1-2

                                    BLM 1.1 Math Representations Graph Organizer

                        SIOP Lesson Plan-Day 3

                                    BLM 3.1 Tiling Squared Pools

                                    BLM 3.2 Fencing Gardens

                                    BLM 3.3 Layers Galore

                                    BLM 3.4 Function Matrix

                        SIOP Lesson Plan-Day 4

                                    BLM 4.1 Translating Parent Functions Lab Sheet

                                    BLM 4.2 Ordered Pairs for Quadratic Parent Function

                                    BLM 4.3 Ordered Pairs for Linear Parent Function

                                    BLM 4.4 Ordered Pairs for Exponential Parent Function

                        SIOP Lesson Plan-Day 5

                                    BLM 5.1 Go To Your Corner Cards

                                    BLM 5.2 Multiplying x by -1 < a < 0

                                    BLM 5.3 Multiplying x by 0 < a < 1

                                    BLM 5.4 Multiplying a by > 1

                                    BLM 5.5 Multiplying x by a < -1

                                    BLM 5.6 Multiplying x by -1

                                    BLM 5.7 Combining Transformations



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