SIOP Model for Teaching Mathematics to English Learners, The

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  PREFACE AND ACKNOWLEDGEMENTSChapter 1: Introduction and Review of the SIOP MODELChapter 2: The Academic Language of MathematicsChapter 3: Activities and Techniques for Planning SIOP Mathematics LessonsChapter 4: Lesson and Unit Design for SIOP Mathematics LessonsChapter 5: Pulling It All TogetherAppendix A: SIOP Model Components and Features  Chapter 1 INTRODUCTION AND REVIEW OF THE SIOP MODELKey Components of the SIOP Model1.      Lesson Preparation2.      Building Background3.      Comprehensible Input4.      Strategies5.      Interaction6.      Practice & Application7.      Lesson Delivery8.      Review & AssessmentWhy Is the SIOP Needed Now?Organization and Purpose of This Book  CHAPTER 2 THE ACADEMIC LANGUAGE OF MATHEMATICSWhat 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 LanguageWhat is the Academic Language of Mathematics? In SummaryAppendix B Academic Math Vocabulary Based on NCTM Content and Process Standards  CHAPTER 3 ACTIVITIES AND TECHNIQUES FOR PLANNING SIOP MATHEMATICS  LESSONS By Araceli Avila and Melissa CastilloIntroductionLesson Plan FormatMath Techniques and ActivitiesSIOP Math Techniques and Activities: Lesson PreparationNumber 1-3 for Self Assessment of ObjectivesSIOP Lesson PlanBLM 3.1 What Do You Know About Geometric Shapes?SIOP Math Techniques and Activities: Building Background4 Corners Vocabulary ChartKWL ChartSIOP Lesson PlanSIOP Math Techniques and Activities: Comprehensible InputMath Representations Graphic Organizer BLM 3.2 Math Representations Graphic OrganizerSIOP Lesson PlanSIOP Math Techniques and Activities:  StrategiesYou Are the TeacherSIOP Lesson PlanBLM 3.3 Let’s MeasureVocabulary AliveSIOP Lesson PlanSIOP Math Techniques and Activities:  InteractionConga LineGroup Responses with a White BoardSIOP Lesson PlanFind Your MatchSIOP Math Techniques and Activities:  Practice & ApplicationBingoSIOP Math Techniques and Activities:  Review & AssessmentFind Someone WhoSIOP Lesson PlanBLM 3.4 Colored TrianglesIn Summary  CHAPTER 4 LESSON AND UNIT DESIGN FOR SIOP MATHEMATICS LESSONSBy Araceli Avila and Melissa CastilloIntroductionMath unit-grades k-2Overview of the unitSIOP Planning Flow ChartSIOP Lesson Plan-Day 1BLM 1.1 Vocabulary Activity SheetSIOP Lesson Plan-Days 2-3BLM 2.1 Let’s Measure the Length of…SIOP Lesson Plan-Day 4BLM 4.1 Measuring Length and DistanceSIOP Lesson Plan-Day 5Math Unit-Grades 3-5Overview of the unitSIOP Planning Flow ChartSIOP Lesson Plan-Day 1BLM 1.1 4-Corners Vocabulary Activity SheetBLM 1.2 Shape CharacteristicsSIOP Lesson Plan-Days 2BLM 2.1 Colored TrianglesSIOP Lesson Plan-Day 3-4SIOP Lesson Plan-Day 5Math Unit-Grades 6-8Overview of the unitSIOP Planning Flow ChartSIOP Lesson Plan-Day 1-2BLM 1.1 Integer Dollar CardsBLM 2.1 Lab SheetBLM 2.2 Instruction for Who is Colder? Card GameSIOP Lesson Plan-Days 3BLM 3.1 Integers Venn DiagramBLM 3.2 Weather News TransparencyBLM 3.3 Adding Integers Lab SheetBLM 3.4 Simultaneous Round Table Activity SheetSIOP Lesson Plan-Day 4BLM 4.1 Subtracting Integers Lab SheetBLM 4.2 Fun With Integers InstructionsBLM 4.3 Fun With Integers Recording SheetSIOP Lesson Plan-Day 5BLM 5.1 Where is The Submarine?BLM 5.2 Applying Integers Lab SheetMath Unit-Grades 9-12Overview of the UnitSIOP Planning Flow ChartSIOP Lesson Plan-Days 1-2BLM 1.1 Math Representations Graph OrganizerSIOP Lesson Plan-Day 3BLM 3.1 Tiling Squared PoolsBLM 3.2 Fencing GardensBLM 3.3 Layers GaloreBLM 3.4 Function MatrixSIOP Lesson Plan-Day 4BLM 4.1 Translating Parent Functions Lab SheetBLM 4.2 Ordered Pairs for Quadratic Parent FunctionBLM 4.3 Ordered Pairs for Linear Parent FunctionBLM 4.4 Ordered Pairs for Exponential Parent FunctionSIOP Lesson Plan-Day 5BLM 5.1 Go To Your Corner CardsBLM 5.2 Multiplying x by -1 < a < 0BLM 5.3 Multiplying x by 0 < a < 1BLM 5.4 Multiplying a by > 1BLM 5.5 Multiplying x by a < -1BLM 5.6 Multiplying x by -1BLM 5.7 Combining TransformationsSUMMARYREFERENCES