2011 Summer Institute Homework
INSTRUCTIONS
Please choose two lessons plans, other than your own, and use the Lesson Analysis Protocol to conduct an analysis.
The lesson plans are identified by grade level and lesson title. Click on the links to download the files.
Email the completed form to Sudha.
2011 Summer Institute
General Information
Download the bibliography as a pdf file
INSTRUCTIONS
Please choose two lessons plans, other than your own, and use the Lesson Analysis Protocol to conduct an analysis.
The lesson plans are identified by grade level and lesson title. Click on the links to download the files.
Email the completed form to Sudha.
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Participants: Ricardo Abreau, Liam McLoughlin, Grace Nimnualrat, Tomas Parra Grade Leve: 5th Grade Lesson Title: "Triangles, Triangles, Triangles.." Files: Lesson Plan, Language Activity, Sample Circle To save file, right-click on filename |
Participants: Ramon Martinez, Enrique Sanchez, Elizabeth Virgen Grade Leve: 5th Grade Lesson Title: Relationship between fractions, percents and decimals Files: Lesson Plan To save file, right-click on filename |
Participants: Evangelina Cervantes, Jennie Chacon, Mariana de la Torre Grade Leve: 5th Grade Lesson Title: Dividing a whole Number by a Fraction Files: Lesson Plan To save file, right-click on filename |
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Participants: Pete Keuper, Javier Landazuri, Tiffany De Lima Grade Leve: 5th Grade Lesson Title: Division Family Files: Lesson Plan To save file, right-click on filename |
Participants: Maria Aguilar, Kent Fernandez, Hoa Truong Grade Leve: 5th Grade Lesson Title: Finding Linear Equations Files: Lesson Plan To save file, right-click on filename |
Participants: Randy Canham, Susan Zeleke Grade Leve: 5th Grade Lesson Title: Hungry Kevin Files: Lesson Plan To save file, right-click on filename |
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Participants: Luz Zepeda, Angel Weed Grade Leve: 5th Grade Lesson Title: Fractions / Decimals / Percents Files: Lesson Plan To save file, right-click on filename |
Participants: Maria Aguilar, Kent Fernandez, Hoa Truong Grade Leve: 5th Grade Lesson Title: Finding Linear Equations Files: Lesson Plan To save file, right-click on filename |
Participants: Evangelina Cervantes, Jennie Chacon, Mariana de la Torre Grade Leve: 5th Grade Lesson Title: Dividing a whole Number by a Fraction Files: Lesson Plan To save file, right-click on filename |
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Participants: David Iantorno, Veronica Lupercio, Yurit Rodriguez, Jenifer Sorge Grade Leve: 5th Grade Lesson Title: Plot points on a four-quadrant grid and interpret data using a graph Files: Lesson Plan To save file, right-click on filename |
Participants: Brian Holland, Dana Ladefoged, Rebecca Lott, Maria Rojas Grade Leve: 5th Grade Lesson Title: Prime and Composite Factors Files: Lesson Plan To save file, right-click on filename |
Participants: Lourdes Arellano, Jennifer Conroy, Maria Elizondo, Lizeth Orozco, Marcos Ortiz, Lissett Rodriguez Grade Leve: 5th Grade Lesson Title: Identifying Ratios Files: Lesson Plan To save file, right-click on filename |
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Participants: Acquaye-Baddoo, Tom Garcia, Stewart Wright Grade Leve: 5th Grade Lesson Title: Use factors and exponents to express product Files: Lesson Plan To save file, right-click on filename |
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Participants: Claudia Flores, Brenda Madrid, Laura Quintanar, Elvira Vargas Grade Leve: 6th Grade Lesson Title: Comparing And Ordering Rational Numbers on a Number Line Files: Lesson Plan To save file, right-click on filename |
Participants: Martha Atilano, David Clark Grade Leve: 6th Grade Lesson Title: Taxes, Discounts Files: Lesson Plan, Discounts, Holiday Shopping, Mathematically Speaking To save file, right-click on filename |
Participants: Lorena Anaya, Lucero Lomeli, Rosa Lopez, Susana Santa Cruz Grade Leve: 6th Grade Lesson Title: Ratios Files: Lesson Plan To save file, right-click on filename |
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Participants: Sandra Leon, Etta Murakami, Cora Prado, Edie Walker Grade Leve: 6th Grade Lesson Title: Finding percents using proportion boxes Files: Lesson Plan To save file, right-click on filename |
Participants: Lizeth Bendaña, Alfred Mercado, Diane Tregarthen Grade Leve: 7th and 8th Grade Lesson Title: Distant-Rate-Travel Problemss Files: Lesson Plan To save file, right-click on filename |
Participants: My-Chi Pham, Maira Rodriguez, Rocio Vargas Grade Leve: 8th Grade Lesson Title: Stack of Cups Files: Lesson Plan, Stack of Cups To save file, right-click on filename |
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Participants: James Borden, Stasi Vellonakis Grade Leve: 8th Grade Lesson Title: Multi-step Inequality Discovery Lesson Files: Lesson Plan To save file, right-click on filename |
Participants: Christian Cortez, Erika Martinez, Maria Rosas Grade Leve: 8th Grade Lesson Title: How to add rational expressions with like/unlike denominators Files: Lesson Plan To save file, right-click on filename |
Participants: Jane Kramer, Beatriz Rodriguez Grade Leve: 8th Grade Lesson Title: Finding Percent in your Skittles bag Files: Lesson Plan, Handout To save file, right-click on filename |
2011 Summer Institute
Day 15th Grade
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Day 25th grade
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Day 35th grade
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Day 45th grade
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Day 55th grade
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Agendas
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Makeup Opportunities
Makeup hours can now be completed with the online modules.
Downloads
General Information
- "The Final Report of the National Mathematics Advisory Panel" can be found at the website for the National Mathematics Advisory Panel.
- Mathematical Instructional Guides
- 5th grade (2010-2011 version)
- 6th Grade
- 7th Grade General Math
- Algebra Readiness
- Algebra 1
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MATHEMATICS
- 5th and 6th Grades:
- Handout 1: Chuck-a-Luck: Probability Project
- Handout 2: Chuck-a-Luck: Teacher's Notes
- PowerPoint
- 7th and 8th Grades:
- Handout packet: Quadratic Formula
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PEDAGOGY
- 5th Grade:
- Handout: Tiles in a Bag (2 pages)
- PowerPoint
- 6th Grade:
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- Probability Scenarios
- Probability Student Work - blank handout
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My Little Book of Probability - blank
- sample
- PowerPoint
- 7th/8th Grades:
- Article: "Solving Quadratic Equations by Completing the Square" Vol. 12, No. 7, March 2007, "Mathematics Teaching in the Middle School" p.403-405
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LANGUAGE
- All Grades:
- Steps for Teaching Vocabulary
- 5th Grade:
- PowerPoint slides
- 6th Grade:
- PowerPoint slides
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OTHER
- Looking Back, Looking Forward
Follow Up #3: January 22, 2011 (Year 2)-
MATHEMATICS
- 5th and 6th Grades:
- Handout packet (pattern recognition)
- Graphic Organizer
- PowerPoint
- 7th and 8th Grades:
- Handout packet (quadratic equations)
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PEDAGOGY
- 5th Grade:
- PowerPoint
- Graphic Organizer (tables, graphs, equations)
- Additional Resource: Modified Graphic Organizer (1 page) (Co-created by Lucero Lomeli)
- CST Released Items
- 6th Grade:
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- Coming soon!
- 7th/8th Grades:
- Appointment Clock
- Multiplying Polynomials
- Graphic Organizer
- Problems
- Factoring Polynomials
- Graphic Organizer
- Problems
- Introduction to Algebra Tiles
- Link to National Library of Virtual Manipulatives
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LANGUAGE
- Article: "Problems with nth-Term Problems" Vol. 16, No. 2, September 2010 ? Mathematics Teaching in the Middle School" p.89-94
- Cooperative learning strategies packet from San Juan Unified School District: link
- 5th Grade:
- PowerPoint
- Language analysis
- Pattern language video
- Released items
- 6th Grade:
- PowerPoint
- Language analysis
- Pattern language video
- 7th/8th Grades:
- PowerPoint
- Language needed to explain quadratic equations
- Released items
Follow Up #2: October 23rd, 2010 (Year 2)-
MATHEMATICS
- 5th/6th grade worksheet: The Interior Angle Sum Theorem(s) for Polygons
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7th/8th grade worksheet: Avocado Trees, TV Screens, the Geometric Mean & the Pythagorean Theorem - Oh My!
- Math Open Reference website (go to Plane Geometry > Triangles > Types of Triangle > Right Triangle)
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PEDAGOGY
- 5th/6th Grades:
- Area Formulas Worksheet
- Area Pieces - Part 1
- Area Pieces - Part 2
- Area Circle
- 6th Grade:
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- Bicycle Worksheet
- 6th Grade PowerPoint
- Angle Relationships Activity
- Vocabulary Mixed
- Vocabulary Blank
- Vocabulary Answers
- 7th/8th Grades:
- PowerPoint
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Finding the Side Length of a Square (4 pages)
- Answers
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Using Squares to Analyze Patterns in Right Triangles
- Blank grid paper
- Proving the Pythagorean Theorem (scissors and shapes activity)
- Little Pythagorean Theorem Book -Word- -PDF-
- Folding Instructions:The key to folding it is to 1st fold in half (hotdog style) then to fold in half again and lastly in half one more time so that you now have 8 equal rectangles. Now fold in half (hamburger style) and cut along the dotted line or until you hit the next crease. Move the pages around so that your 1st page is the one titled _______'s Little Pythagorean Theorem Book.
- Geometer's Sketchpad Files:
- File 1: Pythagorean Proof
- File 2:Pythagorean Puzzle
- Download a free trial of Geometer's Sketchpad!
- Frayer Model-Square Root and Squaring
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LANGUAGE
- Poster
- Activity Ideas (7 pages)
- Article: "How can mathematics teachers support English language learners?" - from the book What We Know About Mathematics Teaching and Learning, pp.10-11
- 5th Grade:
- PowerPoint
- Handout
- Grade 5 Released CST items on geometry and measurement - pages 20-27
- 6th Grade:
- PowerPoint
- Handout
- Grade 6 Released CST items
- 7th/8th Grades:
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PowerPoint
- Handout
- Grade 7 Released CST items
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PowerPoint
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ACTION RESEARCH
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Deliverables
LESSON PLANNING
- Data: CELDT and Math CST Achievement
- SDAIE Four Critical Elements
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SDAIE Lesson Plan Template
- Sample: Area of Shapes
- SDAIE Quick Guide
- SDAIE Bridge Illustration
- SDAIE Reflection Questions
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CaMSP Lesson Plan Template
Summer Institute 2010
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Day 5 Assignment (Suggested Completion Date: August 15)
- Organizing Instruction and Study to Improve Student Learning: A Practice Guide
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MATHEMATICS
- Standards
- 5th/6th Grade:
- 16-page Packet
- Repeating Decimals
- Terminating Decimals
- 7th/8th Grade:
- The Constant of Proportionality or Unit Rate
- Constant Difference & Linear Functions
- Proportional Relationships & Linear Functions
- Key Concepts: Adding & Subtracting Fractions
- Key Concepts: Percents & Decimals
- Key Concepts: Percents & Fractions
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PEDAGOGY
- General:
- Strategy Planning Cycle
- Language Strategies: Reporting Ideas
- Instructional Strategies Chart
- CaMSP Lesson Template
- Lesson Analysis Protocol
- CaMSP Online Course Info Page
- 5th Grade:
- PowerPoint: Day 4
- Lesson Template (NS 2.1)
- Lesson Template (NS 1.5)
- Lesson Templates by Participants:
- BLOCK 1 STANDARDS
- NS 1.1 (Rodriguez)
- NS 1.3 (Truong, Holland, Rojas)
- NS 2.1 (Jennifer, Lucy, Rosendo, Patty)
- NS 2.2 (Vangie, Kent, Leo, D.A., Alex)
- AF 1.2 (Jennifer, Randy, Steve)
- AF 1.3 (Miller, Hoffman, etc.)
- BLOCK 2 STANDARDS
- NS 2.1 (Javier, Liam, Rebecca)
- NS 2.2 (Grace, Veronica)
- MG 2.1 (Ramon, Lucia, Ben. Abreu)
- MG 2.2 (Enrique, Pablo, Tomas)
- NS 1.4 (Dave, Claudia, Jan, Stewart, Tom)
- NS 1.5 (Liz, Tiffany, Dana, Angel)
- NS 2.3 (Roberto, Teresa, Pete)
- NS 2.4 (Montara Ave.)
- NS 2.5 (Jennie, Luz, Mariana)
- BLOCK 1 STANDARDS
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Examples of a Factor Tree Mobile
- Factors
- 6th Grade:
- Mathematically Speaking Template
- Day 2 Lesson Protocol
- Day 2 Lesson Template
- Battle of the Batteries
- Lesson Template: Battle of the Batteries
- Paper Clip Chains
- Lesson Template: Paper Clip Chains
- Lesson Templates by Participants:
- NS 1 (Martha Atilano)
- NS 1.2 (Edie Walker)
- NS 1.5 (Grade 5 Review)
- NS 2.4 (Lourdes Arellano & Sandra Leon)
- NS 2.4 (another version)
- NS 2.4 (a 3rd version)
- 7th/8th Grades:
- PowerPoint: Day 3
- PowerPoint: Day 4
- Decimal Operations Lesson Template
- Pairs Check Sums & Differences
- Steps
- Worksheet
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- Word Bank
- Place Value Mat
- It All Add Up Record Sheet
- Purple Products
- Power of Two
- Activity
- Record Table
- Lesson Plan
- Distributive Property
- Lesson Plan
- Lesson Analysis Protocol
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LANGUAGE
- Categorization Handout (3 pages)
- Language Objectives (4 pages)
- Examples of Language Objectives
- Language Objectives: A Focus on Vocabulary
- Grade 5
- Grade 6
- Grade 7
- Grade 8
- Language Booklet Activity
- Words that Teachers Can Use to Help Students Communicate
- Things to Do to Make a Difference (2 pages)
- Day 1 PowerPoint
- Day 2 PowerPoint
- Day 3 PowerPoint
- Day 4 PowerPoint
- Day 5 PowerPoint
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ACTION RESEARCH ~ Year 2
- Rubric
- Brainstorming Sheet
- Work Plan
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GLENCOE / ENVISIONS RESOURCES
- GLENCOE: LAUSD E-consultant website (where teachers can post and ask questions anytime regarding the programs in use): http://macmillanmh.com/LAUSD_econsultant/
- ENVISIONS: By registering for SuccessNet, you can access every single page of the Teacher Edition books online. To register, follow these instructions.
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PRE/POSTTEST ANALYSIS
- Table 1 (scores)
- Table 2 (scores)
- Day 1 PowerPoint
- Day 2 PowerPoint
- Day 3 PowerPoint
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ARTICLES
- What impact does teacher content knowledge have on instruction?
- The Role of Mathematics Instruction in Building a Socially Just and Diverse Democracy (Ball, Goffney, Bass, 2005)
- The Linguistic Challenges of Mathematics Teaching and Learning: A Research Review (Schleppegrell, 2007)
- Content Knowledge for Teaching: What Makes It Special? (Ball, Thames, Phelps, 2008)
Follow Up #4: May 22nd-
MATHEMATICS
- Handshake Problem Packet (4 pages)
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PEDAGOGY
- 5th Grade:
- PowerPoint
- Handout (2 pages)
- 6th Grade:
- PowerPoint
- Collaborative Poster Template
- 7th/8th Grades:
- Pattern Block Train Activity (3 pages)
- Additional Sheet of Pattern Problems (2 pages)
- Six-fold Graphic Organizer
- Hinged
- Building Blocks
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LANGUAGE
- Released Items: Practice Questions for Posttest (2 pages)
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ACTION RESEARCH
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Updated Rubric (2 pages)
Follow Up #3: March 20th-
MATHEMATICS
- Find the Dimensions of a Rectangle (6th-8th grades)
- 5th Grade Handouts -1-2-3-4-
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PEDAGOGY
- 5th Grade:
- Make My Rectangular Prism (Directions & Record Sheet)
- Pie Planning (filled in)
- Pie Planning (blank)
- 6th Grade:
- PowerPoint presentation
- Appointment Book
- Mathematically Speaking
- 7th/8th Grades:
- Rectangle Ratios Data Sheet
- Rectangle Ratios (rectangles to cut out) (2 pages)*
- Rectangle Ratios Length-to-Width Graph*
- Rectangle Ratios Length-to-Area Graph
- Paperclip and Pumpkin Measurement Photo
- Scale Factor Mix and Match Activity (4 pages)
- Categories on the Wall
- Instructions
- Scale Factor pieces (12 pages)
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LANGUAGE
- CST Released Items Word Problems -5th grade-6th grade-7th grade/Algebra-
- Problem-Solving Organizer (examples) -5th grade-6th grade-7th grade/Algebra-
- Problem-Solving Organizer (blank)
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ACTION RESEARCH
- Work Plan form (blank)
- Rubric
- Brainstorming Template
- **Updated Participant Ideas** -1-2-3-4-5-6-7-8-9-10-11-12-13-14-15-16-17-18-19-20-21-
- **Updated Participant Work Plans** -1-2-3-4-5-6-7-8-9-10-11-12-13-14-15-16-17-18-19-20-21-
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GENERAL
- Strategy Stop Posters
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MATHEMATICS
- The Van and the Truck Worksheet
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PEDAGOGY
- 5th Grade.ppt
- Applet Handout
- Link to Applet
- Teacher Question Types
- Figure This! (Transportation Questions)
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LANGUAGE
- Language Assessment and Word Problems
- Language Scoring Sheet (for Assessment)
- Feedback Form (for Assessment)
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ACTION RESEARCH
- Introductory Article Excerpts: "Action Research" by Eileen Ferrance
- Characteristics of Effective Action Research Projects
- Brainstorming Template
- **Participant Idea Posters** -1-2-3-4-5-6-7-8-9-10-11-12-13-14-15-16-17-18-19-20-21-
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MATHEMATICS
- Grade 5 Content
- Grade 6 Content
- Grade 7-8 Content
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PEDAGOGY
- Bean Salad ALL
- Bean Salad - Create Recipe
- Use of Strategy Tool
- Unit 2 Concept Lesson
- 5 minute Timer
- Appointment Book
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LANGUAGE
- Language Development Workbook
- Feedback Form - Language Development Workbook
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ACTION RESEARCH
- Introductory Article: "Action Research" by Eileen Ferrance
- Examples
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- Day 2
- "So Just What Is the Academic Language of Mathematics?" by Suzanne Irujo
- Fraction Addition/Subtraction Student Resource Page (blank)
- Fraction Addition/Subtraction Student Resource Page (partially filled)
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Day 3 - Example - Graphic Organizer (1 page)
- Example: Notes Page
- Example: Find the Circumference
- Example: Problem-Solving Organizer
- Number System Sort & Label Activity:
- Real Number System Graphic Organizer (4 pages)
- Number Pieces (1 page)
- Foldables - Little Book (1 page)
- Linear Analysis Pizza (1 page)
- Linear Functions Graph Mix and Match Activity (4 pages)
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Day 4 - "Giving Voice to English Language Learners in Mathematics" by Rafaela M. Santa Cruz
- Cooperative Problem - Clue Cards (PowerPoint for 5th Grade Group, by Dario Gutierrez)
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Day 5 - "Supporting Writing Skills in English Language Learners" by Rafaela M. Santa Cruz and Ivette Sanchez-Gutiérre
- Example: Find 3 Fractions between 3/8 and 5/9
- Example: Probability Problem
- Mathematically Speaking Activity:
- MS Order of Operations with chart (2 pages)
- MS Blank Chart (1 page)
- Powerpoint from CaMSP Kick-Off Meeting
Links
CATEGORIES
I. Released CST Questions
II. Activities & Resources
III. English Learners
IV. Word Problems
V. Multidisciplinary Math
VI. Writing
VII. Reading
- California Department of Education. 2003-2008 CST Released Test Questions.
- STAR Sample Test Questions
- National Council of Teachers of Mathematics The NCTM is a public voice of mathematics education supporting teachers to ensure equitable mathematics learning of the highest quality for all students through vision, leadership, professional development and research. Its website includes lessons and resources as well as professional literature and notifications of key conferences.
- Doing What Works Practice Guides - Critical Foundations for AlgebraThis website contains links to help teachers implement recommendations from the National Math Panel and target equity issues. It provides a multimedia presentation of the National Math Panel.
- Center on Instruction The Center on Instruction, a partnership of five organizations, provides resources and expertise to the Regional Comprehensive Centers in reading, mathematics, science, special education, and English language learning.
- Illuminations: Resources for Teaching Math (activities, lessons, standards, web links)
- Vocabulary Lists A-Z: This website creates customized vocabulary lessons. Using vocabulary terms teachers enter, the website can make word cards, exercises and formative assessments. Pictures are also available. Word lists are available, for example, graphs and tables and geometry. Click here for an example of what the website can do to customize lessons.
- PBS Teachers: Math Lessons PBS Teachers provides a database of multimedia math lessons and activities that middle school teachers can search by grade or topic.
- An Individualized Learning Program for Each Student This website provides free learning resources (such as flashcards and puzzles).
- Internet4Classroom.com This website provides activities for students at each grade level. Although the standards listed are not perfect matches to California's standards, it will be easy for teachers to match standards to California's. The website is easy to navigate. It provides definitions for mathematical terms and activities that students can use independently improve their math skills.
- Knox Education (must sign up for free account to access resources) Math-specific Academic Language worksheets are available at this website.
- LAUSD/CSULA Mathematics & Science Intern/Induction Program Mathematics Education Resources for K-12 Teachers This website includes lesson ideas and mathematics education resources for K-12 teachers.
- Visual Thesaurus - Math Words with Multiple Meanings This lesson plan uses the online visual thesaurus tool. You can get a free trial version, and it includes great word maps.
- Systemwide Change for All Learners and Educators SCALE is a national network of more than 50 working groups of educators and researchers focused on improving mathematics and science teaching and learning at all levels. Funded in the 2002 Math and Science Partnership (MSP) competition, this 5-year comprehensive MSP project currently includes four major urban school districts (Denver Public Schools, Los Angeles Unified School District, Madison Metropolitan School District, and Providence (RI) Public Schools), and three universities (University of Wisconsin-Madison, California State University, Dominguez Hills and Northridge).
- Hotchalk HotChalk is a learning environment for K-12 teachers, students and parents that includes a learning management system (LMS), a rich library of teacher-contributed lesson plans, premium digital content, and professional development for teachers in a web-based environment. Teachers can find materials to teach English learners English as well as mathematics and other subjects.
- Supporting English Language Learners in Math Class, Grades 3-5: Christine Sphar, Kathy Melanese, Rusty Bresser (Paperback, 2008) Math Solutions Publication (book available for purchase) Reference on language functions and more.
- Language & Literacy Resources
- SIOP lesson on teaching fractions and decimals posted at the Center of Applied Linguistics (Project-Based Learning for ELs)
- Taking Center Stage (Dept. of Education) - In this professional learning series of video presentations, Kate Kinsella discusses practical strategies and guidelines to promote student engagement and access to lesson content, to teach vocabulary and sentence structure, and to scaffold academic conversation. Kinsella shares videos of California's middle grades classrooms and provides guidelines and suggestions that teachers can download. Especially useful is Kinsella's work on precision partnering.
- Colorín Colorado: Math Instruction for English Language Learners This website contains a useful article written by Kristina Robertson (2009). It contains information and links for middle school math teachers who want to improve the instruction that they provide their English learners.
- Colorín Colorado: Reading and Understanding Written Math Problems This website offers a concise overview of strategies for helping English learners master written word problems and provides useful links. The author is a middle school math teacher in a school with many English learners.
- Dave's Math Tables: English/Spanish Dictionary The tables on this website include a useful list of English math vocabulary words and their Spanish equivalents.
- Ballantyne, K.G., Sanderman, A.R., Levy, J. (2008). Educating English language learners: Building teacher capacity. Washington, DC: National Clearinghouse for English Language Acquisition This website includes a recent article and recommended websites for mainstream teachers of English language learners. See particularly the section on mathematics, pages 50-53.
- Stanford University English Learned Library of Resources This website includes video examples of teaching English learners, such as "Mr. Waldman's Algebra Lesson (video 377.11)". (This website requires you to sign up for a free account to access resources.)
- The Texas State University System Math for English Language Learners Project The website provides discussion of a wealth of useful techniques and tips for math teachers.
- The Connected Mathematics project at Michigan State University This website has a page on mathematics and English learners. 23.
- Long Beach Unified Schools District (n.d.) Math cognates. This webpage takes you to a five-page list of Spanish-English cognates.
- Southwest Educational Development Laboratory (SEDL) (2007). What can a mathematics teacher do for the English language learner? This website provides language objectives, lessons and strategies for teaching English learners of four proficiency levels of English - beginning, intermediate, advanced, and advanced high.
- Teachers First This website includes useful resources by subject and grade for teaching English to English learners and for teaching mathematics.
- Translating Word Problems This is an excellent site for teachers of English learners (grades 5-6); it provides a list of keywords teachers can teach their students. Also included are useful ideas for preparing English learners to understand written math problems.
- Writing Algebraic Equations This website shows ways to translate algebraic equations into number form. This website can be used by both teachers and students in learning how to transform algebraic equations that are written in English into number form. It also provides examples and practice activities.
- The Language of Algebra This website teaches students how to translate writing into algebraic expressions. It is useful to teachers that plan to teach students how to use both math and writing to solve math problems and provides many examples of problems, ranging in difficulty level. The activities ask students to translate English sentences into algebraic expression. The website explains areas of possible confusion.
- You're Not in Math Class Anymore: Integrating Math across the Curriculum This website contains an article written by Linda Starr and includes useful links to other websites. It gives advice on how to how incorporate the instruction of math across the curriculum. It is not specifically designed to help teachers of English learners. The article explains how teachers can incorporate math into the instruction of other subjects such as literature, science, health, and music. At the bottom of the web page, there is a list of useful websites that give teachers advice on how to teach mathematical literacy and activities that they can use in class. Two examples are: The Noon Observation Project Students in grades 6-12 use their knowledge of Math, geography, and the Internet to estimate the circumference of Earth, and Fractals, A unit on fractals for elementary and middle school students.
- Educational Leadership: Writing in Math This website describes the benefits of incorporating writing in mathematics instruction. The article explains why teachers should incorporate writing in their math instruction. The author argues that critical writers tend to be critical thinkers. Lesson plans are included.
- Using Writing in Mathematics This website shows many ways teachers can incorporate writing in math. This site discusses the use of journal entries, peer evaluations, and mathematical questions
- Writing in Mathematics This website shows some ways teachers can engage students using mathematical writing. It discusses ways teachers can teach students to use writing in math. In addition, it also provides a list of websites that can further improve teachers' understanding of how to incorporate writing in math.
- Content Area Literacy: Beyond the Language Arts Classroom The article posted at this website (Content Area Literacy: Beyond the Language Arts Classroom written on February 27, 2008 by Debbie Shultz) discusses ways math teachers can incorporate reading and language skills in their math classrooms in order to improve their students' ability of solving difficult problems. It does not help teachers work with English learners specifically. Some links included in the article are useful.
- How to Read Mathematics This website contains a manuscript entitled How to Read Mathematics that is written by Shai Simonson and Fernando Gouve. The article provides ideas to help students to improve their mathematical literacy. The website helps students read math problems. This website is supposed to be for students who want to learn more about how to read math problems correctly, but teachers can also use the advice to teach their students how to acquire this skill.
Grant bibliography
Achieve, Inc. (2006). Closing the expectations gap: An annual 50-state progress report on the alignment of high school policies with the demands of college and work. Washington, DC: Author.
Beaton, A. E., et al. 1996. Mathematics Achievement in the Middle School Years: IEA's Third International Mathematics and Science Study (TIMSS). Chestnut Hill, Mass.: Boston College, Center for the Study of Testing, Evaluation, and Educational Policy.
Business Higher Education Forum (2005). A commitment to America's future: Responding to the crisis in mathematics and science education. Washington, DC: Author.
California Department of Education (2006) Mathematics Framework for California Public Schools
Daro, P., Stancavage, F., Ortega, M., DeStefano, L., & Linn, R. (2007). Validity study of the NAEP mathematics assessment: Grades 4 and 8. (Chapters 2 and 3). Washington, DC: American Institutes for Research. Retrieved on September 1, 2007 from http://www.air.org/publications/documents/NAEP_Math_Validity_Study.pdf.
Dietiker, L.., Kysh, J., Hoey, B., & Sallee, T. (2006) Algebra Connections CPM Educational Program, Sacramento CA
Geary, D. C. 1995. "Reflections of Evolution and Culture in Children's Cognition: Implications for Mathematics Development and Mathematics Instruction," American Psychologist, Vol. 50, 24-27.
Hecht, S.A., Vagi, K.J., & Torgesen, J.K. (2007). Fraction skills and proportional reasoning. In D. B. Berch & M. M. M. Mazzocco (Eds.), Why is math so hard for some children? The nature and origins of mathematical learning difficulties and disabilities (pp. 121-132). Baltimore: Paul H. Brookes Publishing Co.
Heller, R., & Greenleaf, C. (2007) Literacy Instruction in the Content Areas: Getting to the Core of Middle and High School Improvement. Washington D.C Alliance for Excellent Education
Ma, Liping. 1999. Knowing and Teaching Elementary Mathematics; Teachers' Understanding of Fundamental Mathematics in China and the United States. Mahwah, N.J.: Lawrence Erlbaum Associates.
National Council of Teachers of Mathematics. (2006). Curriculum focal points for prekindergarten through Grade 8 mathematics: A quest for coherence. Reston, VA: National Council of Teachers of Mathematics.
National Mathematics Advisory Panel. (2008). National Mathematics Advisory Panel FINAL REPORT
Schoenfeld, A. 1998. "When Good Teaching Leads to Bad Results: The Disasters of Well-Taught Mathematics Courses," Educational Psychologist, Vol. 23, 145-66.
Sousa, D. (2008) How the Brain Learns Mathematics Corwin Press, Thousands Oaks California.
U.S. Department of Education. 2003. Identifying and Implementing Educational Practices Supported by Rigorous Evidence: A User Friendly Guide. Washington, D.C.: Institute of Education Sciences, National Center for Education Evaluation and Regional Assistance.