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.

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
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
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
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
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
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
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
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 1 5th Grade Content: Buttons Odd Numbers Pedagogy: AF1.2 Quiz Language act SDAIE Lesson expressions Graphic organizer Language: Active Passive Voice Grammar steps Whip around 6th Grade Content: Buttons Odd Numbers Pedagogy: Direct Variation Vitruvian Man Language: Active Passive Voice Grammar steps Whip around 7th/8th Grade Content: Buttons Odd Numbers Pedagogy: Direct Variation Vitruvian Man Language: Active Passive Voice Grammar steps Whip around Common Handouts CCSS Math Practice Standards CCSS Practice Standards (2) CCSS Side by Side Fraction Comparison Course Credit Form for 2010-2011 Almansor Court Day 1 Agenda Day 1 Reflection Reading summary template	Day 2 5th grade Content: Snail Pace Pedagogy Language: Discussion Task Notes Scaffolding Task-based language objectives 6th Grade Content: Snail Pace Pedagogy Language: Task-based language objectives 7th/8th Grade Content: Snail Pace Pedagogy: Slope Intercept Discovery Slope Intercept Discovery Algebra Language: Task-based language objectives Common Handouts CCSS Application for English Learners Data Analysis Day 2 Agenda Day 2 Reflection Reading summary template
Day 3 5th grade Content: A number pattern Content Test 1-15 Content test 16-19 for 5-6 teachers Pedagogy: Sample Questions Turning Headings into Questions Language: Teaching Discourse Questioning and Requesting Strategies Questioning tips Homework: CCSS Article 1a 6th Grade Content: A number pattern Content Test 1-15 Content test 16-19 for 5-6 teachers Pedagogy: Sample Questions Turning Headings into Questions Language: Teaching Discourse Questioning and Requesting Strategies Questioning tips Homework: CCSS Article 1b 7th/8th Grade Content: A number pattern Content Test 1-15 Content test 16-19 for 7-8 teachers Pedagogy: Sample Questions Turning Headings into Questions Language: Teaching Discourse Questioning and Requesting Strategies Questioning tips Homework: CCSS Article 1b Common Handouts Day 3 Agenda Day 3 Reflection SDAIE Lesson Group Form Blank SDAIE Lesson Template Reading summary template Brainstorming year 3 Action Research Rubric Work plan template year 3	Day 4 5th grade Content Pedagogy: Cups SDAIE Lesson stacking cup Language: Whole Class Discussion Activities 6th Grade Content Pedagogy Language: Whole Class Discussion Activities 7th/8th Grade Content Pedagogy: Matching graphs Writing and graphing slope intercept Language: Whole Class Discussion Activities Common Handouts Day 4 Agenda Day 4 Reflection Reading Summary Template Teaching English Language Learners
Day 5 5th grade Content: Area and perimeter Pedagogy Language: Sentence frames Sentence stems 6th Grade Content: Area and perimeter Pedagogy: Volume Right Prisms Language: Sentence frames Sentence stems 7th/8th Grade Content: Area and perimeter Pedagogy: Math Surface Area Volume Right Prisms Language: Sentence frames Sentence stems Common Handouts Day 5 Agenda Day 5 Reflection Evaluation form Reading Summary template Powerpoint	Agendas Day 1 Day 2 Day 3 Day 4 Day 5

Makeup Opportunities

Makeup hours can now be completed with the online modules.

Downloads

Links

CATEGORIES
I. Released CST Questions
II. Activities & Resources
III. English Learners
IV. Word Problems
V. Multidisciplinary Math
VI. Writing
VII. Reading

I. Released CST Questions

1. California Department of Education. 2003-2008 CST Released Test Questions.
2. STAR Sample Test Questions

II. Activities & Resources

1. 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.
2. 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.
3. 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.
4. Illuminations: Resources for Teaching Math (activities, lessons, standards, web links)
5. 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.
6. 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.
7. An Individualized Learning Program for Each Student This website provides free learning resources (such as flashcards and puzzles).
8. 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.
9. Knox Education (must sign up for free account to access resources) Math-specific Academic Language worksheets are available at this website.
10. 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.
11. 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.
12. 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).
13. 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.
14. 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.
15. Language & Literacy Resources
16. SIOP lesson on teaching fractions and decimals posted at the Center of Applied Linguistics (Project-Based Learning for ELs)
17. 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.

III. English Learners

1. 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.
2. 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.
3. 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.
4. 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.
5. 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.)
6. 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.
7. The Connected Mathematics project at Michigan State University This website has a page on mathematics and English learners. 23.
8. Long Beach Unified Schools District (n.d.) Math cognates. This webpage takes you to a five-page list of Spanish-English cognates.
9. 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.
10. Teachers First This website includes useful resources by subject and grade for teaching English to English learners and for teaching mathematics.

IV. Word Problems

1. 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.
2. 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.
3. 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.

V. Multidisciplinary Math

1. 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.

VI. Writing

1. 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.
2. 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
3. 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.

VII. Reading

1. 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.
2. 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.

Download the bibliography as a pdf file