References TỔNG HỢP ĐỀ THI TOÁN BẰNG TIẾNG ANH CÓ LỚI GIẢI CHI TIẾT HAY NHẤT

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References  TỔNG HỢP ĐỀ THI TOÁN BẰNG TIẾNG ANH CÓ LỚI GIẢI CHI TIẾT HAY NHẤT

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References of the Mathematics Framework for California Public Schools: Kindergarten Through Grade Twelve Adopted by the California State Board of Education, November 2013 Published by the California Department of Education Sacramento, 2015 References Abrams, Joshua 2001 Mathematical Modeling: Teaching the Open-ended Application of Mathematics Roslindale, MA: Joshua Paul Abrams http://www.meaningfulmath.org/numbers.pdf (accessed March 18, 2014) 2012 “Teaching Mathematical Modeling at the High School Level.” From Proceedings of the 2012 Asia-Pacific Economic Cooperation (APEC) Workshop, Indonesia, 34–51 Singapore: APEC Achieve, Inc 2013 Implementing the Common Core Standards: The Role of the Elementary School Leader Washington, DC: Achieve, Inc http://achieve.org/publications/implementing-common-corestate-standards-role-elementary-school-leader-action-brief (accessed March 18, 2014) Achieve the Core 2012 Where to Focus in K–8 Math, Grades K–2 http://achievethecore.org/page/242/ where-to-focus-in-k-8-math (accessed March 26, 2014) Adams, Gary, and Douglas W Carnine 2003 “Direct Instruction.” In Handbook of Learning Disabilities, edited by H Lee Swanson, Karen R Harris, and Steve Graham, 403–16 New York: Guilford Press American Speech–Language–Hearing Association (ASHA) 2015 Augmentative and Alternative Communication Rockville, MD: ASHA http://www.asha.org/public/speech/disorders/AAC/ (accessed July 17, 2015) Anstrom, Kristina, Patricia DiCerbo, Frances Butler, Anne Katz, Julie Millet, and Charlene Rivera 2010 A Review of the Literature on Academic English: Implications for K–12 English Language Learners Arlington, VA: The George Washington University Center for Equity and Excellence in Education http:// www.ceee.gwu.edu/Academic%20Lit%20Review_FINAL.pdf [Link no longer valid](accessed March 18, 2014) Arizona Department of Education (ADE) 2010 Arizona’s College and Career Ready Standards— Mathematics, Grades K–8 http://www.azed.gov/standards-practices/mathematics-standards/ (accessed March 18, 2014) Ashlock, Robert B 1998 Error Patterns in Computation 7th ed Upper Saddle River, NJ: Merrill Asturias, Harold 2010 “Connecting Mathematics and Language.” Presentation given at the Math Leadership Summit, Lawrence Hall of Science, University of California, Berkeley Baker, Scott, Russell Gersten, and Dae-Sik Lee 2002 “A Synthesis of Empirical Research on Teaching Mathematics to Low-Achieving Students.” The Elementary School Journal 103 (1): 51–73 Balfanz, Robert, James McPartland, and Alta Shaw 2002 “Reconceptualizing the Extra Help for High School Students in a High Standards Era.” Presentation given at Preparing America’s Future: The High School Symposium, Washington, DC, April 2002 Benbow, Camilla Persson, and Julian C Stanley 1996 “Inequity in Equity: How ‘Equity’ Can Lead to Inequity in High-Potential Students.” Psychology, Public Policy, and Law (6): 249–92 Bitter, Catherine, and Jennifer O’Day 2010 Raising Expectations for Mathematics Instruction in California: Algebra and Beyond Palo Alto, CA: California Collaborative on District Reform, American Institutes for Research http://www.cacollaborative.org/sites/default/files/CA_Collaborative_8th_Grade_Algebra pdf [Link no longer valid] (accessed March 18, 2014) California Mathematics Framework References 863 Black, Paul, Christine Harrison, Clare Lee, Bethan Marshall, and Dylan Wiliam 2004 “Working Inside the Black Box: Assessment for Learning in the Classroom.” Phi Delta Kappan 86 (1): 8–21 Black, Paul, and Dylan Wiliam 2001 “Inside the Black Box: Raising Standards Through Classroom Assessment.” London, England: King’s College London School of Education http://weaeducation typepad.co.uk/files/blackbox-1.pdf (accessed March 24, 2014) Blank, Rolf K., and Nina de las Alas 2010 Effects of Teacher Professional Development on Gains in Student Achievement: How Meta Analysis Provides Scientific Evidence Useful to Education Leaders Evanston, IL: Society for Research on Educational Effectiveness Blum, Werner, and Rita Borromeo Ferri 2009 “Mathematical Modelling: Can It Be Taught and Learnt?” Journal of Mathematical Modelling and Application (1): 45–58 Bosse, Michael J., and Johna Faulconer 2008 “Learning and Assessing Mathematics Through Reading and Writing.” School Science and Mathematics 108 (1): 8–19 Bourdieu, Pierre 1977 “Cultural Reproduction and Social Reproduction.” In Power and Ideology in Education, edited by Jerome Karabel and A H Halsey, 485–511 New York: Oxford University Press ——— 1986 “The Forms of Capital.” In Handbook of Theory and Research for the Sociology of Education, edited by John Richardson New York: Greenwood Press Browder, Diane M., Fred Spooner, Lynn Ahlgrim-Delzell, Amber A Harris, and Shawnee Wakeman 2008 “A Meta-Analysis on Teaching Mathematics to Students with Significant Cognitive Disabilities.” Exceptional Children 74 (4): 407–32 Bruner, Jerome, Jacqueline Jarrett Goodnow, and George Austin 1956 A Study of Thinking New York: Wiley Burden, Paul R., and David M Byrd 2009 Methods for Effective Teaching: Meeting the Needs of All Students 5th ed Boston: Allyn & Bacon Burkhardt, Hugh 2006 “Modelling in Mathematics Classrooms: Reflections on Past Developments and the Future.” ZDM: The International Journal on Mathematics Education 38 (2): 178–95 California County Superintendents Educational Services Association (CCSESA) 2011a K–8 California’s Common Core Standards: Parent Handbook Sacramento, CA: CCSESA http://ccsesa.org/ special-projects/common-core-standards-communication-tools/ (accessed March 26, 2014) 2011b Transitional Kindergarten (TK) Planning Guide: A Resource for Administrators of California Public School Districts Sacramento, CA: CCSESA http://ccsesa.org/wp-content/uploads/2013/12/ TKGuide_11311_Web.pdf (accessed March 26, 2014) California Department of Education (CDE) 2006 Mathematics Framework for California Public Schools: Kindergarten Through Grade Twelve Sacramento, CA: California Department of Education 2008 California Preschool Learning Foundations, Volume Sacramento, CA: California Department of Education http://www.cde.ca.gov/sp/cd/re/documents/preschoollf.pdf (accessed March 18, 2014) 2010a California Preschool Curriculum Framework, Volume Sacramento, CA: California Department of Education http://www.cde.ca.gov/sp/cd/re/documents/psframeworkkvol1.pdf (accessed March 18, 2014) 864 References California Mathematics Framework 2010b Improving Education for English Learners: Research-Based Approaches Sacramento, CA: California Department of Education 2011 “California’s Fourth and Eighth Grade Students Continue Math and Reading Gains.” News release, November 1, 2011 http://www.cde.ca.gov/nr/ne/yr11/yr11rel83.asp (accessed March 18, 2014) 2012a The Alignment of the California Preschool Learning Foundations with Key Early Education Resources Sacramento, CA: California Department of Education http://www.cde.ca.gov/sp/cd/re/ documents/psalignment.pdf (accessed March 18, 2014) 2012b California Philosophy & Definition—Rtl2 http://www.cde.ca.gov/ci/cr/ ri/rtiphilosphydefine.asp (accessed March 18, 2014) 2012c Common Core State Standards Systems Implementation Plan for California http:// www.cde.ca.gov/re/cc/documents/ccssimpsysplanforcaoct2012.doc (accessed March 18, 2014) 2012d A Look at Grades Seven and Eight in California Public Schools: Transitioning to the Common Core State Standards in English Language Arts and Mathematics Sacramento, CA: California Department of Education http://www.cde.ca.gov/ci/cr/cf/documents/glcgr7to8april2012.pdf [Link no longer valid] (accessed March 26, 2014) 2013a California Common Core State Standards: Mathematics Sacramento, CA: California Department of Education http://www.cde.ca.gov/be/st/ss/documents/ccssmathstandardaug2013.pdf (accessed September 1, 2015) 2013b California English Language Development Standards http://www.cde.ca.gov/sp/el/er/ eldstandards.asp (accessed March 18, 2014) 2013c DataQuest http://dq.cde.ca.gov/dataquest/ (accessed March 18, 2014) 2013d “State Superintendent Tom Torlakson Proposes New Statewide Testing System.” News release, January 8, 2013 http://www.cde.ca.gov/nr/ne/yr13/yr13rel4.asp (accessed March 18, 2014) 2013e Transitional Kindergarten FAQs http://www.cde.ca.gov/ci/gs/em/kinderfaq.asp (accessed March 18, 2014) 2015a Assistive Technology Checklist http://www.cde.ca.gov/sp/se/sr/atexmpl.asp (accessed July 17, 2015) 2015b Glossary, “Taking Center Stage—Act II: A Portal for Middle Grades Educators.” http:// pubs.cde.ca.gov/tcsii/ap/glossary.aspx?item=differentiated%20instruction (accessed July 16, 2015) 2015c Rtl2 Resources http://www.cde.ca.gov/ci/cr/ri/rtiresources.asp (accessed July 17, 2015) California Learning Resource Network (CLRN) 2000 California Learning Resource Network (CLRN) Supplemental Electronic Learning Resources Review Criteria and Process http://www.clrn.org/info/ criteria/Criteria.pdf (accessed September 7, 2015) California Mathematics Project 2012 Exploring World Maps http://caccssm.cmpso.org/k-8-modelingtask-force/k-8-modeling-resources-by-standards (accessed March 19, 2014) Carr, John, and Catherine Caroll 2009 “Making Mathematics Accessible to English Learners.” Webinar http://www.schoolsmovingup.net/cs/smu/view/e/4025 (accessed October 21, 2012) California Mathematics Framework References 865 Carr, John, Catherine Caroll, Sarah Cremer, Mardi Gale, and Rachel Lagunoff 2009 Making Mathematics Accessible to English Learners: A Guidebook for Teachers San Francisco, CA: WestEd Celedón-Pattichis, Sylvia 2004 “Rethinking Policies and Procedures for Placing English Language Learners in Mathematics.” NABE Journal of Research and Practice (1): 176–92 Celedón-Pattichis, Sylvia, and Nora G Ramirez 2012 Beyond Good Teaching: Advancing Mathematics Education for ELLs Reston, VA: National Council of Teachers of Mathematics Center for Applied Special Technology (CAST) 2011 Universal Design for Learning (UDL) Guidelines— Version 2.0 Wakefield, MA: CAST http://www.udlcenter.org/aboutudl/udlguidelines (accessed March 19, 2014) Center for the Collaborative Classroom 2015 Lesson Study Emeryville, CA: Center for the Collaborative Classroom https://www.collaborativeclassroom.org/lesson-study (accessed July 8, 2015) Centers for Disease Control and Prevention (CDC) 2002 National Health and Nutrition Examination Survey, 2002 Atlanta, GA: CDC http://www.cdc.gov/nchs/nhanes.html [Link no longer valid] (accessed July 28, 2014) Challenge Success 2012 Cheat or Be Cheated? What We Know About Academic Integrity in Middle & High Schools & What We Can Do About It Stanford, CA: Challenge Success, Stanford University http:// www.challengesuccess.org/wp-content/uploads/2015/07/ChallengeSuccess-AcademicIntegrityWhitePaper pdf (accessed September 29, 2015) The Charles A Dana Center at the University of Texas at Austin 2012 The Mathematics Common Core Toolbox, Sequenced Units, First Through Eighth Grades http://ccsstoolbox.agilemind.com/ resources_samples.html (accessed March 19, 2014) Charles, C M., and Gail W Senter 2012 Elementary Classroom Management 6th ed Boston: Pearson Cheung, Alan C K., and Robert E Slavin 2011 The Effectiveness of Educational Technology Applications for Enhancing Mathematics Achievement in K–12 Classrooms: A Meta-Analysis Baltimore, MD: Best Evidence Encyclopedia, Johns Hopkins University http://www.bestevidence.org/ word/tech_math_ Apr_11_2012.pdf [Link no longer valid].(accessed March 19, 2014) Choi, Kilchan, and Edward Shin 2004 What Are the Chances of Getting into a UC School? A Look at the Course-Taking Patterns of High School Students for UC Admissions Eligibility (CSE Report 623) Los Angeles, CA: Center for the Study of Evaluation Civil, Marta, and Jose Maria Menendez 2012 “Parents and Children Come Together: Latino and Latina Parents Speak Up About Mathematics Teaching and Learning.” In Beyond Good Teaching: Advancing Mathematics Education for ELLs, edited by Sylvia Celedón-Pattichis and Nora G Ramirez Reston, VA: National Council of Teachers of Mathematics Clark-Wilson, Alison 2010 “Emergent Pedagogies and the Changing Role of the Teacher in the TI-Nspire Navigator-Networked Mathematics Classroom.” ZDM: The International Journal on Mathematics Education 42 (7): 747–61 Clements, Douglas H., and Julie A Sarama 2009 Learning and Teaching Early Math: The Learning Trajectories Approach New York: Routledge Cobb, Paul 1994 “Where Is the Mind? Constructivist and Sociocultural Perspectives on Mathematical Development.” Educational Researcher 23 (7): 13–20 866 References California Mathematics Framework Common Sense Media 2009 Hi-Tech Cheating: Cell Phones and Cheating in Schools, A National Poll San Francisco, CA: Common Sense Media http://www.commonsensemedia.org/sites/default/files/ hitech_cheating_-_summary_no_embargo_tags.pdf [Link no longer valid] (accessed October 12, 2012) The Conference Board of the Mathematical Sciences 2012 The Mathematical Education of Teachers II Providence, RI: American Mathematical Society and Mathematical Association of America Connecticut State Department of Education (CSDE) 2013 K–12 Math Units of Study, Grade Illustrated Practices http://www.sde.ct.gov/sde/cwp/view.asp?a=2618&q=322592 [Link no longer valid](accessed March 19, 2014) Cooper, James M., ed 2006 Classroom Teaching Skills 8th ed Boston: Houghton Mifflin Council for Economic Education 2013 National Standards for Financial Literacy New York: Council for Economic Education http://www.councilforeconed.org/wp/wp-content/uploads/2013/02/ national-standards-for-financial-literacy.pdf (accessed March 19, 2014) Cummins, Jim 2000 Language, Power, and Pedagogy: Bilingual Children in the Crossfire Clevedon, England: Multilingual Matter Darling-Hammond, Linda, Ruth Chung Wei, Alethea Andree, Nikole Richardson, and Stelios Orphanos 2009 Professional Learning in the Learning Profession: A Status Report on Teacher Development in the U.S and Abroad Oxford, OH, and Stanford, CA: National Staff Development Council (now Learning Forward) and the School Redesign Network at Stanford University Dauber, Susan L., Karl L Alexander, and Doris R Entwisle 1996 “Tracking and Transitions Through the Middle Grades: Channeling Educational Trajectories.” Sociology of Education 69 (4): 290–307 Davis, Trina, Mila Fuller, Sharnell Jackson, Joyce Pittman, and James Sweet 2007 A National Consideration of Digital Equity Washington, DC: International Society for Technology in Education http://www.k12hsn.org/files/research/Technology/national-consideration-DE.pdf (accessed March 19, 2014) Devaney, Elizabeth, and Nichole Yohalem 2012 The Common Core Standards: What Do They Mean for Out-of-School Time? Out-of-School Time Policy Commentary #17 Washington, DC: The Forum for Youth Investment http://forumfyi.org/files/ost_7.31.pdf (accessed March 27, 2014) Diamond, Linda 2004 “Universal Access: When All Means A-L-L and Not S-O-M-E.” Oakland, CA: The Consortium on Reading Excellence, Inc (CORE) https://www.corelearn.com/files/ CORE-BriefingPaperUniversalAccess.pdf (accessed July 17, 2015) DO-IT 2012 “A Smart Board in the Classroom: A Promising Practice for Engaging Students.” Seattle, WA: University of Washington https://www.washington.edu/doit/Stem/articles?418 (accessed March 19, 2014) Duncan, Greg J., Chantelle J Dowsett, Jeanne Brooks-Gunn, Amy Claessens, Kathryn Duckworth, Mimi Engel, Leon Feinstein, Aletha C Huston, Crista Japel, Pamela Klebanov, Katherine Magnuson, Linda Pagani, and Holly Sexton 2007 “School Readiness and Later Achievement.” Developmental Psychology 43 (6): 1428–46 http://policyforchildren.org/pdf/School_Readiness_Study.pdf [Link no longer valid] (accessed December 3, 2012} Durlak, Joseph A., Roger P Weissberg, and Molly Pachan 2010 “A Meta-Analysis of After-School Programs That Seek to Promote Personal and Social Skills in Children and Adolescents.” American Journal of Community Psychology 45 (3–4): 294–309 California Mathematics Framework References 867 Dutro, Susana, and Kate Kinsella 2010 “English Language Development: Issues and Implementation at Grades Six Through Twelve.” In Improving Education for English Learners: Research-Based Approaches Sacramento, CA: California Department of Education Dutro, Susana, and Carrol Moran 2003 “Rethinking English Language Instruction: An Architectural Approach.” In English Learners: Reaching the Highest Level of English Literacy, edited by Gilbert Garcia Newark, DE: International Reading Association http://www.gvsd.org/cms/lib02/PA01001045/ Centricity/Domain/13/English%20Language%20Learners%20(ELL)/Articles/REthinking_ESL_ instruction_Article.pdf (accessed March 19, 2014) Dweck, Carol 2006 Mindset: The New Psychology of Success New York: Ballantine Books Echevarria, Jana, MaryEllen Vogt, and Deborah J Short 2008 Making Content Comprehensible for English Language Learners: The SIOP® Model 3rd ed Boston: Allyn and Bacon Economics and Statistics Administration 2011 Exploring the Digital Nation: Computer and Internet Use at Home Washington, DC: United States Department of Commerce http://www.esa.doc.gov/ Reports/exploring-digital-nation-computer-and-internet-use-home (accessed March 19, 2014) ECONorthwest 2008 A Review of Research on Extended Learning Time in K–12 Schools Eugene, OR: ECONorthwest http://chalkboardproject.org/images/PDF/Extended%20Learning%20final% 20rev.pdf [Link no longer valid] (accessed March 19, 2014) Edelsky, Carole 2006 With Literacy and Justice for All: Rethinking the Social in Language and Education (Language, Culture, and Teaching) New York: Routledge Education Data Partnership (Ed-Data) 2011 State Reports, Technology by School Type http://www ed-data.k12.ca.us/Pages/Home.aspx (accessed March 18, 2014) Educator Excellence Task Force (EETF) 2012 Greatness by Design: Supporting Outstanding Teaching to Sustain the Golden State Report by State Superintendent Tom Torlakson’s Task Force on Educator Excellence Sacramento, CA: California Department of Education http://www.cde.ca.gov/eo/in/ee.asp (accessed April 8, 2014) Ellington, Aimee J 2003 “A Meta-Analysis of the Effects of Calculators on Students’ Achievement and Attitude Levels in Precollege Mathematics Classes.” Journal for Research in Mathematics Education 34 (5): 433–63 Emmer, Edmund T., and Carolyn M Evertson 2009 Classroom Management for Middle and High School Teachers Upper Saddle River, NJ: Pearson Encyclopedia of Language and Literacy Development 2012 London, Ontario, Canada: Western University http://literacyencyclopedia.ca/ [Link no longer valid] (accessed March 19, 2014) EngageNY 2012 Common Core Exemplar for Middle School Math Albany, NY: New York State Education Department http://engageny.org/resource/common-core-exemplar-for-middle-school-math (accessed March 19, 2014) English, Lyn D 2007 “Complex Systems in the Elementary and Middle School Mathematics Curriculum: A Focus on Modeling.” The Montana Mathematics Enthusiast (TMME) 3: 139–56 http:// www.math.umt.edu/tmme/monograph3/english_monograph3_pp.139_156.pdf [Link no longer valid] (accessed March 27, 2014) 868 References California Mathematics Framework Federal Reserve Bank of Cleveland 2007 Great Minds Think: A Kid’s Guide to Money Cleveland, OH: Federal Reserve Bank of Cleveland http://www.clevelandfed.org/Learning_Center/Online_Activities/ great_minds_think/Great_Minds_Think.pdf [Link no longer valid](accessed March 19, 2014) Finkelstein, Neal, and Anthony Fong 2008 Course-Taking Patterns and Preparation for Postsecondary Education in California’s Public University Systems Among Minority Youth (Issues & Answers Report, REL 2008–No 035) Washington, DC: U.S De-partment of Education, Institute of Education Sciences, National Center for Education Evaluation and Regional Assistance, Regional Educational Laboratory West http://ies.ed.gov/ncee/edlabs/projects/project.asp?ProjectID=86 (accessed March 19, 2014) Finkelstein, Neal, Anthony Fong, Juliet Tiffany-Morales, Patrick Shields, and Min Huang 2012 “College Bound in Middle School and High School? How Math Course Sequences Matter.” Sacramento, CA: The Center for the Future of Teaching and Learning at WestEd http://www.cftl.org/ documents/2012/CFTL_MathPatterns_Main_Report.pdf (accessed March 19, 2014) FINRA Investor Education Foundation 2009 National Financial Capability Study Washington, DC: FINRA Investor Education Foundation http://www.finrafoundation.org/programs/p123306 (accessed March 19, 2014) Flores, Margaret M 2010 “Using the Concrete–Representational–Abstract Sequence to Teach Subtraction with Regrouping to Students at Risk of Failure.” Remedial and Special Education 31 (3): 195–207 Francis, David J., Mabel Rivera, Nonie Lesaux, Michael Kieffer, and Hector Rivera 2006a Practical Guidelines for the Education of English Language Learners: Research-Based Recommendations for Instruction and Academic Interventions Portsmouth, NH: RMC Research Corporation, Center on Instruction http://www.centeroninstruction.org/files/ELL1-Interventions.pdf (accessed March 19, 2014) 2006b Practical Guidelines for the Education of English Language Learners: Research-Based Recommendations for Serving Adolescent Newcomers Portsmouth, NH: RMC Research Corporation, Center on Instruction http://www.centeroninstruction.org/files/ELL2-Newcomers.pdf (accessed March 19, 2014) Fuchs, Lynn S., Douglas Fuchs, Kathy Karns, Carol L Hamlett, and Michelle Katzaroff 1999 “Mathematics Performance Assessment in the Classroom: Effects on Teacher Planning and Student Problem Solving.” American Educational Research Journal 36 (3): 609–46 Fuson, Karen, and Sybilla Beckmann 2013 “Standard Algorithms in the Common Core State Standards.” NCSM Journal 14 (2): 14–30 Galbraith, Peter 2012 “Models of Modelling: Genres, Purposes or Perspectives.” Journal of Mathematical Modelling and Application (5): 3–16 Garofalo, Joe, Hollylynne Stohl Drier, Suzanne Harper, Maria A Timmerman, and Tod Shockey 2000 “Promoting Appropriate Uses of Technology in Mathematics Teacher Preparation.” Contemporary Issues in Technology and Teacher Education (1): 66–88 Geary, David C 1994 Children’s Mathematical Development: Research and Practical Applications Washington, DC: American Psychological Association Georgia Department of Education (GaDOE) 2011 Mathematics K–5: Common Core Georgia Performance Standards, Framework Units, and Curriculum Maps Atlanta, GA: Georgia Department of Education https://www.georgiastandards.org/Common-Core/Pages/Math-K-5.aspx (accessed March 19, 2014) California Mathematics Framework References 869 Gersten, Russell, Sybilla Beckmann, Benjamin Clarke, Anne Foegen, Laurel Marsh, Jon R Star, and Bradley Witzel 2009 Assisting Students Struggling with Mathematics: Response to Intervention (RtI) for Elementary and Middle Schools Washington, DC: National Center for Education Evaluation and Regional Assistance, Institute of Education Sciences, U.S Department of Education http://ies.ed.gov/ ncee/wwc/publications_reviews.aspx (accessed March 19, 2014) Gersten, Russell, David J Chard, Madhavi Jayanthi, Scott K Baker, Paul Morphy, and Jonathan Flojo 2008 Mathematics Instruction for Students with Learning Disabilities or Difficulty Learning Mathematics: A Synthesis of the Intervention Research Portsmouth, NH: RMC Research Corporation, Center on Instruction http://www.centeroninstruction.org/mathematics-instruction-for-studentswith-learning-disabilities-or-difficulty-learning-mathematics-a-synthesis-of-the-intervention-research (accessed March 19, 2014) Gibbons, Pauline 2009 English Learners, Academic Literacy and Thinking Portsmouth, NH: Heineman Goos, Merrilyn, and Anne Bennison 2007 “Technology-Enriched Teaching of Secondary Mathematics: Factors Influencing Innovative Practice.” Mathematics: Essential Research, Essential Practice, Proceedings of 30th Annual Conference of Mathematics Education Research Group of Australasia 1:315–24 The Great Schools Partnership 2014 The Glossary of Education Reform Portland, ME: The Great Schools Partnership http://edglossary.org/formative-assessment/ (accessed July 17, 2015) Griffith, Linda K 2012 “Common Core State Standards Mathematics 5: Purposeful Pedagogy and Discourse.” http://commoncore.aetn.org/mathematics/ccss-mathematics-5/CCSS%20Math%20 5-Handout.pdf [Link no longer valid] (accessed March 19, 2014) Grotzer, Tina 1999 “Understanding Counts: Teaching for Depth in Math and Science.” In Math/Science Matters: Resource Booklets on Research in Math and Science Learning—Booklet 1: Cognitive Issues That Affect Math and Science Learning Cambridge, MA: Project Zero, Harvard Graduate School of Education Guerrero, Shannon, Norman Walker, and Sharon Dugdale 2004 “Technology in Support of Middle Grade Mathematics: What Have We Learned?” Journal of Computers in Mathematics and Science Teaching 23 (1): 5–20 Hadwin, Allyson Fiona, Lori Wozney, and Oonag Pontin 2005 “Scaffolding the Appropriation of SelfRegulatory Activity: A Socio-Cultural Analysis of Changes in Teacher–Student Discourse about a Graduate Research Portfolio.” Instructional Science: An International Journal of Learning and Cognition 33 (5–6): 413–50 Hallinan, Maureen T 1994 “Tracking: From Theory to Practice.” Sociology of Education 67:79–84 2003 “Ability Grouping and Student Learning.” In Brookings Papers on Education Policy 6:95–140 Washington, DC: Brookings Institution Press Harcourt School Publishers 2013 Multimedia Math Glossary http://www.hbschool.com/glossary/math2/ (accessed March 19, 2014) Haycock, Kati 2002 “Add it Up: Mathematics Education in the U.S Does Not Compute.” Thinking K–16 (1): 3–23 870 References California Mathematics Framework Hembree, Ray, and Donald J Dessart 1986 “Effects of Hand-Held Calculators in Precollege Mathematics Education: A Meta-Analysis.” Journal for Research in Mathematics Education 17 (2): 83–99 Hill, Heather C., and Sarah T Lubienski 2007 “Teachers’ Mathematics Knowledge for Teaching and School Context: A Study of California Teachers.” Educational Policy 21 (5): 747–68 Hill, Heather C., Brian Rowan, and Deborah Loewenberg Ball 2005 “Effects of Teachers’ Mathematical Knowledge for Teaching on Student Achievement.” American Educational Research Journal 42 (2): 371–406 Hill, Heather C., Laurie Sleep, Jennifer Lewis, and Deborah Loewenberg Ball 2007 “Assessing Teachers’ Mathematical Knowledge: What Knowledge Matters and What Evidence Counts?” In Second Handbook of Research on Mathematics Teaching and Learning, edited by Frank K Lester Charlotte, NC: Information Age Publishing Hogden, Jeremy, and Bethan Marshall 2005 “Assessment for Learning in English and Mathematics: A Comparison.” The Curriculum Journal 16 (2): 153–76 Hoover, John J., Janette K Klingner, Leonard M Baca, and James R Patton 2008 Methods for Teaching Culturally and Linguistically Diverse Exceptional Learners Upper Saddle River, NJ: Pearson Howard County Public School System 2011 “SMP Student Teacher Indicator.” Ellicott City, MD: Howard County Public School System, Elementary and Secondary Mathematics Offices Illustrative Mathematics 2013a http://www.illustrativemathematics.org/ (accessed March 19, 2014) 2013b Illustrations, 4.OA Double Plus One http://www.illustrativemathematics.org/ illustrations/487 (accessed March 19, 2014) 2013c Illustrations, 6.EE Chocolate Bar Sales http://www.illustrativemathematics.org/ illustrations/806 (accessed March 19, 2014) 2013d Illustrations, 7.G.4 The Circumference of a Circle and the Area of the Region it Encloses http://www.illustrativemathematics.org/illustrations/1553 (accessed March 19, 2014) 2013e Illustrations, 7.SP.3,4—Offensive Linemen http://www.illustrativemathematics.org/ illustrations/1341 (accessed March 19, 2014) 2013f Illustrations, 8.EE Ant and Elephant http://www.illustrativemathematics.org/ illustrations/476 (accessed March 19, 2014) 2013g Illustrations, A-CED Growing Coffee http://www.illustrativemathematics.org/ illustrations/611 (accessed March 19, 2014) 2013h Illustrations, A-CED Throwing a Ball http://www.illustrativemathematics.org/ illustrations/437 (accessed March 19, 2014) 2013i Illustrations, F-BF Lake Algae http://www.illustrativemathematics.org/illustrations/533 (accessed March 19, 2014) 2013j Illustrations, F-BF Skeleton Tower http://www.illustrativemathematics.org/ illustrations/75 (accessed March 19, 2014) 2013k Fractions Progression Module http://www.illustrativemathematics.org/pages/fractions_ progression (accessed March 19, 2014) California Mathematics Framework References 871 2013l Illustrations, G-MG Ice Cream Cone http://www.illustrativemathematics.org/ illustrations/414 (accessed March 19, 2014) 2013m Content Standards: High School http://www.illustrativemathematics.org/standards/hs (accessed March 19, 2014) 2013n Content Standards: Kindergarten Through Grade Eight http:// www.illustrativemathematics.org/standards/k8# (accessed March 19, 2014) 2013o Illustrations, N-Q Felicia’s Drive http://www.illustrativemathematics.org/illustrations/80 (accessed March 19, 2014) 2013p Illustrations, N-Q Runners’ World http://www.illustrativemathematics.org/ illustrations/19 (accessed March 19, 2014) 2013q Illustrations, S-CP The Titanic http://www.illustrativemathematics.org/ illustrations/950 (accessed March 19, 2014) Ingersoll, Richard, and David Perda 2010 “Is the Supply of Mathematics and Science Teachers Sufficient?” American Educational Research Journal 43 (3): 563–94 Inside Mathematics 2015 “Problems of the Month.” http://www.insidemathematics.org/problems-ofthe-month/download-problems-of-the-month (accessed July 17, 2015) Institute for Mathematics and Education, University of Arizona; Center for Science, Mathematics, and Computer Education, University of Nebraska; and Institute for Research on Mathematics and Science Education, Michigan State University 2011 Gearing Up for the Common Core State Standards in Mathematics http://commoncoretools.me/wp-content/uploads/2011/12/2011_12_06_gearing_up.pdf (accessed March 19, 2014) Intersegmental Committee of the Academic Senates of the California Community Colleges, the California State University, and the University of California (ICAS) 2013 Statement on Competencies in Mathematics Expected of Entering College Students http://icas-ca.org/Websites/icasca/images/ICASStatement-Math-Competencies-2013.pdf (accessed April 9, 2014) Joyce, Bruce R., Marsha Weil, and Emily Calhoun 2009 Models of Teaching 8th ed Boston, MA: Pearson Jump$tart Coalition for Personal Financial Literacy 2007 National Standards in K–12 Personal Finance Education Washington, DC: Jump$tart Coalition for Personal Financial Literacy http:// jumpstart.org/assets/files/standard_book-ALL.pdf (accessed March 19, 2014) Kahveci, Murat, and Yesim Imamoglu 2007 “Interactive Learning in Mathematics Education: Review of Recent Literature.” Journal of Computers in Mathematics and Science Teaching 26 (2): 137–53 Kamarrudin, Nafisah Kamariah, and Zulkarnain Amin 2012 “Dilemma in Teaching Mathematics.” US–China Education Review B (2): 145–49 Kansas Association of Teachers of Mathematics (KATM) 2012 Common Core Resources, Flipbooks, K–6th Flipbooks http://katm.org/wp/common-core (accessed March 19, 2014) Kaplan, Sandra N., Bette Gould, and Victoria Siegel 1995 The Flip Book: A Quick and Easy Method for Developing Differentiated Learning Experiences Calabasas, CA: Educator to Educator Katz, Susan Roberta 1999 “Teaching in Tensions: Latino Immigrant Youth, Their Teachers, and the Structures of Schooling.” Teachers College Record 100 (4): 32 872 References California Mathematics Framework Kern, Willis F., and James R Bland 1948 Solid Mensuration with Proofs 2nd ed New York: Wiley Kingston, Neal, and Brooke Nash 2011 “Formative Assessment: A Meta-Analysis and a Call for Research.” Educational Measurement: Issues and Practice 30 (4): 28–37 Klibanoff, Raquel S., Susan C Levine, Janellen Huttenlocher, Marina Vasilyeva, and Larry V Hedges 2006 “Preschool Children’s Mathematical Knowledge: The Effect of Teacher ‘Math Talk.’” Developmental Psychology 42 (1): 59–69 Kroesbergen, Evelyn H., and Johannes E H Van Luit 2003 “Mathematics Interventions for Children with Special Needs.” Remedial and Special Education 24 (2): 97–114 Kurlaender, Michal, Sean F Reardon, and Jacob Jackson 2008 “Middle School Predictors of High School Achievement in Three California School Districts: California Dropout Research Project Report #13, June 2008.” Santa Barbara, CA: University of California, Santa Barbara Lamon, Susan J 2012 Teaching Fractions and Ratios for Understanding: Essential Content Knowledge and Instructional Strategies for Teachers 3rd ed New York: Routledge Li, Qing, and Xin Ma 2010 “A Meta-Analysis of the Effects of Computer Technology on School Students’ Mathematics Learning.” Educational Psychology Review 22 (3): 215–43 Liang, Jian-Hua, Paul E Heckman, and Jamal Abedi 2012 “What Do the California Standards Test Results Reveal About the Movement Toward Eighth-Grade Algebra for All?” Educational Evaluation and Policy Analysis 34 (3): 328–43 http://epa.sagepub.com/content/34/3/328.abstract (accessed March 19, 2014) Lopez, Omar S 2010 “The Digital Learning Classroom: Improving English Language Learners’ Academic Success in Mathematics and Reading Using Interactive Whiteboard Technology.” Computers and Education 54 (4): 901–15 Los Angeles Unified School District (LAUSD) 2012 English Learner Master Plan http://home.lausd.net/ (accessed March 19, 2014) Loveless, Tom 2004 “Computational Skills, Calculators, and Achievement Gaps: An Analysis of NAEP Items.” Presentation given at the American Educational Research Association, San Diego, CA, April 2004 Ma, Liping 2010 Knowing and Teaching Elementary Mathematics New York: Taylor and Francis Routledge MacSwan, Jeff, and Kellie Rolstad 2003 “Linguistic Diversity, Schooling, and Social Class: Rethinking our Conception of Language Proficiency in Language Minority Education.” In Sociolinguistics: The Essential Readings, edited by Christina Bratt Paulston and G Richard Tucker Oxford, United Kingdom: Blackwell Publishing Ltd Martinez, Michael E 2010 Learning and Cognition: The Design of the Mind Columbus, OH: Merrill Massachusetts Department of Elementary and Secondary Education (MDESE) 2011 Massachusetts Curriculum Framework for Mathematics: Grades Pre-Kindergarten to 12 Malden, MA: Massachusetts Department of Elementary and Secondary Education http://www.doe.mass.edu/ frameworks/math/0311.pdf (accessed March 19, 2014) California Mathematics Framework References 873 2012 Making Decisions About Course Sequences and the New Model Algebra I Course Malden, MA: Massachusetts Department of Elementary and Secondary Education http://www.doe.mass.edu/ candi/commoncore/ (accessed March 19, 2014) The Math Forum at Drexel 2013 Philadelphia, PA: Drexel University http://mathforum.org (accessed March 19, 2014) Mathwords 2013 http://mathwords.com/ (accessed March 19, 2014) McCallum, Bill 2011 Structuring the Mathematical Practices http://commoncoretools.me/2011/03/10/ structuring-the-mathematical-practices/ (accessed March 31, 2014) Mercer, Cecil D., and Ann R Mercer 2005 Teaching Students with Learning Problems 7th ed Upper Saddle River, NJ: Pearson Merriam-Webster 2013 http://www.merriam-webster.com/ (accessed March 20, 2014) Milken, Lowell 1999 A Matter of Quality: A Strategy for Answering the High Caliber of America’s Teachers Santa Monica, CA: Milken Family Foundation Miller, Andrew 2011 Assessing the Common Core Standards: Real Life Mathematics San Rafael, CA: Edutopia, the George Lucas Educational Foundation http://www.edutopia.org/blog/assessingcommon-core-standards-real-life-mathematics (accessed March 20, 2014) Miller, Susan Peterson 2009 Validated Practices for Teaching Students with Diverse Needs and Abilities 2nd ed Upper Saddle River, NJ: Pearson Missouri Department of Elementary and Secondary Education (MODESE) 2012 Smarter Balanced Assessment: 6th Grade Mathematics, Version 1.0 Jefferson City, MO: Missouri Department of Elementary and Secondary Education http://www.dese.mo.gov/divimprove/assess/documents/ asmtsbac-math-gr6-sample-items.pdf [Link no longer valid] (accessed March 20, 2014} Moschkovich, Judit 2012a “ELLs and the Common Core in Mathematics.” Webinar Stanford, CA: Graduate School of Education, Stanford University http://ell.stanford.edu/event/ells-andcommon-core-mathematics (accessed March 20, 2014) 2012b “Mathematics, the Common Core, and Language: Recommendations for Mathematics Instruction for ELs Aligned with the Common Core.” Understanding Language: Commissioned Papers on Language and Literacy Issues in the Common Core State Standards and Next Generation Science Standards, April 5, 2012 Moss, Connie M., and Susan M Brookhart 2009 Advancing Formative Assessment in Every Classroom Alexandria, VA: Association for Supervision and Curriculum Development National Center for Education Statistics.1995 Pursuing Excellence: A Study of U.S Fourth-Grade Mathematics and Science Achievement in International Context Washington, DC: National Center for Education Statistics, U.S Department of Education http://nces.ed.gov/pubs97/97255.pdf (accessed April 16, 2014) 2013 Kids’ Zone http://nces.ed.gov/nceskids/help/WhoIsNCES.asp (accessed March 20, 2014) National Center for Improving Student Learning and Achievement in Mathematics and Science 2000 “Cognitively Guided Instruction: A Research-Based Teacher Professional Development Program for Elementary School Mathematics.” Madison, WI: University of Wisconsin–Madison 874 References California Mathematics Framework National Center on Accessible Information Technology in Education (AccessIT) 2015 About AccessIT Seattle, WA: University of Washington https://www.washington.edu/accessit/ (accessed July 17, 2015) National Council of Teachers of Mathematics (NCTM) 1995 Assessment Standards for School Mathematics Reston, VA: National Council of Teachers of Mathematics 2000 Principles and Standards for School Mathematics Reston, VA: National Council of Teachers of Mathematics 2007 Mathematics in Early Childhood Learning http://www.nctm.org/about/content aspx?id=12590 [Link no longer valid] (accessed March 20, 2014) 2011a Technology in Teaching and Learning Mathematics http://www.nctm.org/about/content aspx?id=31734 [Link no longer valid] (accessed March 20, 2014) 2011b Using Calculators for Teaching and Learning Mathematics http://www.nctm.org/ uploadedFiles/Research_News_and_Advocacy/Research/Clips_and_Briefs/2011-Research_brief_18calculator.pdf [Link no longer valid] (accessed March 20, 2014) 2013 http://www.nctm.org/ (accessed March 20, 2014) National Council of Teachers of Mathematics Illuminations (NCTM Illuminations) 2013a Reston, VA: National Council of Teachers of Mathematics http://illuminations.nctm.org/ (accessed March 20, 2014) 2013b Equivalent Fractions http://illuminations.nctm.org/Activity.aspx?id=3510 (accessed April 15, 2014) 2013c Isometric Drawing Tool http://illuminations.nctm.org/ActivityDetail.aspx?ID=125 (accessed March 20, 2014) 2013d Puzzling Relationships http://illuminations.nctm.org/LessonDetail.aspx?id=L757 (accessed March 20, 2014) 2015 Soda Cans http://illuminations.nctm.org/lesson.aspx?id=2363 (accessed September 22, 2015) National Education Association 2003 Balanced Assessment: The Key to Accountability and Improved Student Learning Washington, DC: National Education Association National Governors Association Center for Best Practices, Council of Chief State School Officers (NGA/CCSSO) 2010a Common Core State Standards for Mathematics, Appendix A Washington, DC: National Governor’s Association Center for Best Practices, Council of Chief State School Officers http://www.corestandards.org/assets/CCSSI_Mathematics_Appendix_A.pdf (accessed March 20, 2014) 2010b English Language Arts Standards, Introduction, Key Design Consideration http://www corestandards.org/ELA-Literacy/introduction/key-design-consideration (accessed March 31, 2014) 2010c Mathematics Standards http://www.corestandards.org/Math (accessed March 31, 2014) 2010d Mathematics Glossary http://www.corestandards.org/Math/Content/mathematicsglossary/glossary (accessed March 20, 2014) 2010e Mathematics, High School: Modeling http://www.corestandards.org/Math/Content/HSM (accessed March 20, 2014) California Mathematics Framework References 875 2010f Mathematics, Introduction, How to Read the Grade Level Standards http://www corestandards.org/Math/Content/introduction/how-to-read-the-grade-level-standards (accessed March 20, 2014) 2010g Mathematics, Notes on Courses and Transitions http://www.corestandards.org/Math/ Content/note-on-courses-transitions/courses-transitions (accessed March 20, 2014) 2010h Mathematics Standards, Grade 1, Introduction http://www.corestandards.org/Math/ Content/1/introduction (accessed March 20, 2014) 2010i Mathematics Standards, Grade 2, Introduction http://www.corestandards.org/Math/ Content/2/introduction (accessed March 20, 2014) 2010j Mathematics Standards, Grade 3, Introduction http://www.corestandards.org/Math/ Content/3/introduction (accessed March 20, 2014) 2010k Mathematics Standards, Grade 4, Introduction http://www.corestandards.org/Math/ Content/4/introduction (accessed March 20, 2014) 2010l Mathematics Standards, Grade 5, Introduction http://www.corestandards.org/Math/ Content/5/introduction (accessed March 20, 2014) 2010m Mathematics Standards, Grade 6, Introduction http://www.corestandards.org/Math/ Content/6/introduction (accessed March 20, 2014) 2010n Mathematics Standards, Grade 7, Introduction http://www.corestandards.org/Math/ Content/7/introduction (accessed March 20, 2014) 2010o Mathematics Standards, Grade 8, Introduction http://www.corestandards.org/Math/ Content/8/introduction (accessed March 20, 2014) 2010p Mathematics Standards, Kindergarten, Introduction http://www.corestandards.org/ Math/Content/K/introduction (accessed March 20, 2014) 2010q Mathematics, Standards for Mathematical Practice http://www.corestandards.org/Math/ Practice (accessed March 20, 2014) 2012 K–8 Publishers’ Criteria for the Common Core State Standards for Mathematics Washington, DC: National Governor’s Association Center for Best Practices, Council of Chief State School Officers http://www.corestandards.org/assets/Math_Publishers_Criteria_K-8_Summer%202012_FINAL.pdf (accessed March 20, 2014) 2013 High School Publishers’ Criteria for the Common Core State Standards for Mathematics Washington, DC: National Governor’s Association Center for Best Practices, Council of Chief State School Officers http://www.corestandards.org/assets/Math_Publishers_Criteria_HS_Spring%202013_ FINAL.pdf (accessed March 20, 2014) National Mathematics Advisory Panel 2008 Foundations for Success: The Final Report of the National Mathematics Advisory Panel Washington, DC: U.S Department of Education http:// bdscomm/list/mathpanel/report/final-report.pdf [Link no longer valid] (accessed March 31, 2014) National Research Council 2001 Adding it Up: Helping Children Learn Mathematics Washington, DC: National Academies Press 876 References California Mathematics Framework National Research Council, Committee on Early Childhood Mathematics 2009 Mathematics Learning in Early Childhood: Paths Toward Excellence and Equity Washington, DC: National Academies Press National Telecommunications and Information Administration (NTIA) 1995 Falling Through the Net: A Survey of the “Have-Nots” in Rural and Urban America Washington, DC: U.S Department of Commerce http://www.ntia.doc.gov/ntiahome/fallingthru.html (accessed March 20, 2014) 1998 Falling Through the Net II: New Data on the Digital Divide http://www.ntia.doc.gov/ report/1998/falling-through-net-ii-new-data-digital-divide (accessed March 20, 2014) 1999 Falling Through the Net: Defining the Digital Divide http://www.ntia.doc.gov/ legacy/ntiahome/fttn99/contents.html (accessed March 20, 2014) 2000 Falling Through the Net: Toward Digital Inclusion http://www.ntia.doc.gov/ report/2000/falling-through-net-toward-digital-inclusion (accessed March 20, 2014) Neild, Ruth Curran, Scott Stoner-Eby, and Frank F Furstenberg, Jr 2008 “Connecting Entrance and Departure: The Transition to Ninth Grade and High School Dropout.” Education and Urban Society 40:543–69 New York City Department of Education (NYCDOE) 2013 Common Core-Aligned Task with Instructional Supports, Mathematics, Grade Math: Ratios and Proportional Relationships http://schools.nyc gov/NR/rdonlyres/A9F735CB-47E4-40F8-884F-EA54D0AB5705/0/NYCDOEG6MathRatios_Final.pdf (accessed March 20, 2014) New York State Education Department (NYSED) 2012 New York State Testing Program—Mathematics, Common Core Sample Questions, Grade Albany, NY: New York State Education Department http://www.engageny.org/sites/default/files/resource/attachments/math-grade-4.pdf (accessed March 31, 2014) New Zealand Council for Educational Research 2014 “Classroom Discourse (Mathematics),” Assessment Resource Banks (ARBs) Wellington, New Zealand: New Zealand Ministry of Education http:// arbs nzcer.org.nz/strategies/mcd.php (accessed July 17, 2015) Newman-Gonchar, Rebecca, Benjamin Clarke, and Russell Gersten 2009 A Summary of Nine Key Studies: Multi-Tier Intervention and Response to Interventions from Students Struggling in Mathematics Portsmouth, NH: RMC Research Corporation, Center on Instruction http://www.centeroninstruction org/files/Summary%20of%209%20studies%20on%20RTI%20math%20and%20struggling%20math%20 students.pdf (accessed March 20, 2014) North Carolina Department of Public Instruction (NCDPI) 2013a Graphic Organizers Samples Raleigh, NC: North Carolina Department of Public Instruction http://www.dpi.state.nc.us/docs/acre/ standards/common-core-tools/organizers/math/number-lines.pdf (accessed March 20, 2014) ——— 2013b NC Common Core Instructional Support Tools, Math Unpacking Standards, Kindergarten–8th Grade http://www.ncpublicschools.org/acre/standards/common-coretools/#unpacking (accessed March 31, 2014) NYU Steinhardt 2009 “ELLs and Mathematics.” Online educational module New York: New York University, Steinhardt School of Culture, Education, and Human Development http://steinhardt.nyu edu/scmsAdmin/uploads/004/738/NYU_PTE_Math_Module_For_ELLS_Oct_8_2009.pdf (accessed March 19, 2014) California Mathematics Framework References 877 Oakes, Jeannie, Adam Gamoran, and Reba N Page 1992 “Curriculum Differentiation: Opportunities, Outcomes, and Meanings.” In Handbook of Research on Curriculum, edited by Phillip Jackson New York: Macmillan Oakes, Jeannie, Kate Muir, and Rebecca Joseph 2000 Coursetaking and Achievement in Mathematics and Sciences: Inequalities that Endure and Change Madison, WI: University of Wisconsin, WCER, National Institute of Science Education O’Connor, Ken 2007 “The Last Frontier: Tackling the Grading Dilemma.” In Ahead of the Curve: The Power of Assessment to Transform Teaching and Learning, edited by Douglas Reeves, 127–45 Bloomington, IN: Solution Tree Press Ohio Department of Education (ODE) 2011 Ohio’s New Learning Standards: K–12 Mathematics, Model Curricula, Grades and Columbus, OH: Ohio Department of Education.http://www.education ohio.gov/GD/Templates/Pages/ODE/ODEDetailaspx?page=3&TopicRelationID=1704&ContentID= 126041&Content=141858 (accessed March 20, 2014) Oxford Dictionaries 2013 http://www.oxforddictionaries.com/us (accessed March 20, 2014) Park City Mathematics Institute 2013 Cabri 3D—Steve Phelps Princeton, NJ: School of Mathematics at the Institute for Advanced Study http://mathforum.org/pcmi/hstp/sum2005/morning/ shortfiles/phelps.html (accessed March 20, 2014) Parrish, Sherry 2010 Number Talks: Helping Children Build Mental Math and Computation Strategies— Grades K–5 Sausalito, CA: Math Solutions Partnership for Assessment of Readiness for College and Careers (PARCC) 2012 Model Content Frameworks—Mathematics Washington, DC: Partnership for Assessment of Readiness for College and Careers http://parcconline.org/mcf/mathematics/parcc-model-content-frameworksbrowser (accessed March 20, 2014) 2013 Principles Regarding the Common Core State Standards for Mathematics http:// www parcconline.org/print/mcf/mathematics/principles-regarding-common-core-statestandards-mathematics [Link no longer valid] (accessed March 20, 2014) Payton, Fay Cobb 2003 “Rethinking the Digital Divide.” Communications of the Association for Computing Machinery 46 (6): 89–91 Perkins, Isabel, and Alfinio Flores 2002 “Mathematical Notations and Procedures of Recent Immigrant Students.” Mathematics Teaching in the Middle School (6): 346–51 Pierce, Kim M., Daniel M Bolt, and Deborah Lowe Vandell 2010 “Specific Features of After-School Program Quality: Associations with Children’s Functioning in Middle Childhood.” American Journal of Community Psychology 45 (3–4): 381–93 Pollak, Henry O 2010 “The Definition of Mathematical Modeling.” California Mathematics Project, High School Modeling Task Force, High School Modeling Resources http://caccssm.cmpso.org/highschool-modeling-task-force/high-school-modeling-resources (accessed March 20, 2014) Popham, W James 2010 Classroom Assessment: What Teachers Need to Know 6th ed Boston: Pearson 878 References California Mathematics Framework The President’s Advisory Council on Financial Capability 2012 Every American Financially Empowered: A Guide to Increasing Financial Capability Among Students, Workers, and Residents in Communities Washington, DC: The White House http://www.whitehouse.gov/sites/default/files/ financial_ capability_toolkit_5.10.2012.pdf (accessed March 20, 2014) Puente, Kelly 2012 “Mobile Devices Drive Creative Instruction.” Norwalk, CT: Professional Media Group, LLC http://www.districtadministration.com/article/mobile-devices-drive-creative-instruction (accessed March 20, 2014) Reeves, Douglas, ed 2007 Ahead of the Curve: The Power of Assessment to Transform Teaching and Learning Bloomington, IN: Solution Tree Press Ruthven, Kenneth, Rosemary Deaney, and Sara Hennessy 2009 “Using Graphing Software to Teach about Algebraic Forms: A Study of Technology-Supported Practice in Secondary-School Mathematics.” Educational Studies in Mathematics 71 (3): 279–97 Saunders, William, and Claude Goldenberg 2010 “Research to Guide English Language Development Instruction.” In Improving Education for English Learners: Research-Based Approaches Sacramento, CA: California Department of Education Schleppegrell, Mary J 2007 “The Linguistic Challenges of Mathematics Teaching and Learning: A Research Review.” Reading & Writing Quarterly 23 (2): 139–59 Science NetLinks 2013 Marble Mania! Washington, DC: American Association for the Advancement of Science http://sciencenetlinks.com/interactives/marble/marblemania.html (accessed March 20, 2014) Serido, Joyce, and Soyeon Shim 2011 Young Adults’ Financial Capability Tucson, AZ: The University of Arizona http://aplus.arizona.edu/Wave-2-Report.pdf (accessed March 20, 2014) Shodor Education Foundation, Inc 2015 http://www.shodor.org/ (accessed February 26, 2015) Durham, NC: Shodor Smarter Balanced Assessment Consortium (Smarter Balanced) 2011 Content Specifications for the Summative Assessment of the Common Core State Standards for Mathematics (Revised Draft, June 2013) http://www.smarterbalanced.org/wordpress/wp-content/uploads/2011/12/Math-ContentSpecifications.pdf [Link no longer valid] (accessed October 22, 2014) 2012a http://www.smarterbalanced.org/ (accessed March 20, 2014) 2012b Mathematics Item Specifications, Grades 6–8 http://www.smarterbalanced org/ wordpress/wp-content/uploads/2012/05/TaskItemSpecifications/Mathematics/ MathematicsGeneralItemandTaskSpecificationsGrades6-8.pdf [Link no longer valid] (accessed March 20, 2014) 2012c Smarter Balanced Assessment Consortium General Item Specifications http://www smarterbalanced.org/wordpress/wp-content/uploads/2012/05/TaskItemSpecifications/ ItemSpecifications/GeneralItemSpecifications.pdf [Link no longer valid] (accessed March 20, 2014) Smith, Aaron 2010 Home Broadband 2010 Washington, DC: Pew Research Internet Project http:// pewinternet.org/Reports/2010/Home-Broadband-2010.aspx (accessed March 20, 2014) Smith, Betsann, Melissa Roderick, and Sophie C Degener 2005 “Extended Learning Time and Student Accountability: Assessing Outcomes and Options for Elementary and Middle Grades.” Educational Administration Quarterly 41 (2): 195–236 California Mathematics Framework References 879 Smith, Margaret S., and Mary Kay Stein 2011 Practices for Orchestrating Productive Mathematics Discussions Reston, VA: National Council of Teachers of Mathematics Stanton-Salazar, Ricardo 1997 “A Social Capital Framework for Understanding the Socialization of Racial Minority Children and Youths.” Harvard Educational Review 67 (1): 40 2001 “Empowering Relations of Support Between Students and School Personnel.” In Manufacturing Hope and Despair: The School and Kin Support Networks of U.S.–Mexican Youth New York: Teachers College Press STATS 2013 http://stats.org/ (accessed March 20, 2014) Arlington, VA: Statistical Assessment Service Steedly, Kathlyn, Kyrie Dragoo, Sousan Arefeh, and Stephen D Luke 2008 “Effective Mathematics Instruction.” Evidence for Education (1): 1–12 Stein, Mary Kay, Amy Hillen, Milan Sherman, and Julia Kaufman 2011 “Algebra: A Challenge at the Crossroads of Policy and Practice.” Review of Educational Research 81 (4): 453–92 Stephan, Michelle, and Jennifer Smith 2012 “Teaching Common Core Math Practices to Students with Disabilities.” Journal of the American Academy of Special Education Professionals Spring/Summer 2012: 162–75 Stevenson, David Lee, Kathryn S Schiller, and Barbara Schneider 1994 “Sequences of Opportunities for Learning.” Sociology of Education 67 (3): 184–98 Suurtamm, Christine, Martha Koch, and Ann Arden 2010 “Teachers’ Assessment Practices in Mathematics: Classrooms in the Context of Reform.” Assessment in Education: Principles, Policy & Practice 17 (4): 399–417 Taylor-Cox, Jennifer 2008 Differentiating Instruction in Number & Operations and Other Math Content Standards: A Guide for Ongoing Assessment, Grouping Students, Targeting Instruction, and Adjusting Levels of Cognitive Demand Portsmouth, NH: Heinemann 2013 Differentiating Mathematics Instruction So EVERYONE Learns STEM White Paper, McGraw-Hill Education https://www.mheonline.com/glencoemath/pdf/ diffentiating_math.pdf [Link no longer valid] (accessed March 20, 2014) Thompson, Ian 2010 “The Principal Counting Principles.” United Kingdom: National Centre for Excellence in the Teaching of Mathematics https://www.ncetm.org.uk/public/files/712850/ The+principal+counting+principles.pdf (accessed March 31, 2014) Thompson, Sandra J., Amanda B Morse, Michael Sharpe, and Sharon Hall 2005 Accommodations Manual: How to Select, Administer, and Evaluate Use of Accommodations for Instruction and Assessment of Students with Disabilities 2nd ed Washington, DC: Council of Chief State School Officers http://www.ccsso.org/Documents/2005/Accommodations_Manual_How_2005.pdf (accessed March 20, 2014) Thompson, Virginia, and Karen Mayfield-Ingram 1998 Family Math: The Middle School Years, Algebraic Reasoning and Number Sense Berkeley, CA: University of California, Lawrence Hall of Science TK California 2013 http://www.tkcalifornia.org/ (accessed March 20, 2014) Tomlinson, Carol Ann 2001 How to Differentiate Instruction in Mixed-Ability Classrooms 2nd ed Alexandria, VA: Association for Supervision and Curriculum Development (ASCD) 880 References California Mathematics Framework Tomlinson, Carol Ann, and Marcia B Imbeau 2010 Leading and Managing a Differentiated Classroom Alexandria, VA: ASCD Trotter, Andrew 2007 “Digital Divide 2.0.” Bethesda, MD: Editorial Projects in Education http://www edweek.org/dd/articles/2007/09/12/02divide.h01.html (accessed March 20, 2014) Understanding Language 2012 “The Common Core for English Language Learners: Challenges and Opportunities.” Webinar Stanford, CA: Stanford University, Graduate School of Education http://ell.stanford.edu/sites/default/files/UnderstandingLanguage%20CGCS%20Overview% 2005-18-12.pdf (accessed March 24, 2014) United States Census Bureau 2009 Computer and Internet Use Washington, DC: U.S Census Bureau http://www.census.gov/hhes/computer/ (accessed March 20, 2014) United States Department of Education (ED) 2010 Evaluation of Evidence-Based Practices in Online Learning: A Meta-Analysis and Review of Online Learning Studies Washington, DC: U.S Department of Education, Office of Planning, Evaluation, and Policy Development http://www2.ed.gov/ rschstat/eval/tech/evidence-based-practices/finalreport.pdf (accessed March 20, 2014) The University of Arizona (UA) 2011–13 Progressions Documents for the Common Core Math Standards Tucson, AZ: Institute for Mathematics and Education, University of Arizona http://ime.math.arizona edu/progressions/ (accessed March 20, 2014) 2011a Draft K–5 Progression on Counting and Cardinality and Operations and Algebraic Thinking http://commoncoretools.files.wordpress.com/2011/05/ ccss_progression_cc_oa_ k5_2011_05_302.pdf [Link no longer valid] (accessed April 2, 2014) 2011b Draft K–5 Progression on Categorical and Measurement Data http://commoncoretools files.wordpress.com/2011/06/ccss_progression_md_k5_2011_06_20.pdf (accessed April 2, 2014) 2011c Draft 6–7 Progression on Ratios and Proportional Relationships http:// commoncoretools.files.wordpress.com/2012/02/ccss_progression_rp_67_2011_11_12_corrected.pdf (accessed November 14, 2014) 2011d Draft 6–8 Progression on Expressions and Equations http://commoncoretools.files wordpress.com/2011/04/ccss_progression_ee_2011_04_25.pdf (accessed April 2, 2014) 2011e Draft 6–8 Progression on Statistics and Probability http://commoncoretools.files wordpress.com/2011/12/ccss_progression_sp_68_2011_12_26_bis.pdf (accessed April 2, 2014) 2012a Draft K–5 Progression on Geometric Measurement http://commoncoretools.files wordpress.com/2012/07/ccss_progression_gm_k5_2012_07_21.pdf (accessed April 2, 2014) 2012b Draft K–5 Progression on Number and Operations in Base Ten http://commoncoretools me/wp-content/uploads/2011/04/ccss_progression_nbt_2011_04_073_corrected2.pdf (accessed April 2, 2014) 2012c Draft K–6 Progression on Geometry http://commoncoretools.files.wordpress com/2012/06/ccss_progression_g_k6_2012_06_27.pdf (accessed April 2, 2014) 2012d Draft High School Progression on Statistics and Probability http://commoncoretools me/wp-content/uploads/2012/06/ccss_progression_sp_hs_2012_04_21_bis.pdf (accessed April 2, 2014) California Mathematics Framework References 881 2013a Draft 3–5 Progression on Number and Operations—Fractions http://commoncoretools me/wp-content/uploads/2011/08/ccss_progression_nf_35_2013_09_19.pdf (accessed April 2, 2014) 2013b Draft High School Progression on Algebra http://commoncoretools.me/wpcontent/uploads/2013/07/ccss_progression_algebra_2013_07_03.pdf (accessed April 2, 2014) 2013c Draft High School Progression on Functions http://commoncoretools.me/wpcontent/uploads/2013/07/ccss_progression_functions_2013_07_02.pdf (accessed April 2, 2014) Usiskin, Zalman 2011 “Mathematical Modeling in the School Curriculum.” Presentation given at Teachers College, Columbia University, September 26, 2011 Van de Walle, John A 2007 Elementary and Middle School Mathematics: Teaching Developmentally 6th ed Boston: Pearson/Allyn and Bacon Van de Walle, John A., and Sandra Folk 2005 Elementary and Middle School Mathematics: Teaching Developmentally Toronto: Pearson Education Canada Vaughn, Sharon, and Candace S Bos 2012 Strategies for Teaching Students with Learning and Behavior Problems 8th ed Boston: Pearson Vaughn, Sharon R., Candace S Bos, and Jeanne Shay Schumm 2010 Teaching Students Who Are Exceptional, Diverse, and at Risk in the General Education Classroom 5th ed Boston: Pearson Ventura County Office of Education and the California Department of Education 2011 Response to Instruction and Intervention RtI2: An Implementation and Technical Assistance Guide for Districts and Schools http://www.cde.ca.gov/ci/cr/ri/ (accessed March 20, 2014) Vygotsky, Lev Semyonovich 1978 Mind in Society: The Development of Higher Psychological Processes Cambridge, MA: Harvard University Press Walden University 2010 Educators, Technology and 21st Century Skills: Dispelling Five Myths Minneapolis, MN: Walden University, Richard W Riley College of Education http://waldenU.edu/fivemyths (accessed March 20, 2014) Walston, Jill, and Jill Carlivati McCarroll 2010 Eighth-Grade Algebra: Findings from the Eighth-Grade Round of the Early Childhood Longitudinal Study, Kindergarten Class of 1998–99 (ECLS-K) NCES Publication No 2010-016 Washington, DC: National Center for Education Statistics, Institute of Education Sciences, U.S Department of Education Wang, Jia, and Pete Goldschmidt 2003 “Importance of Middle School Mathematics on High School Students’ Mathematics Achievement.” Journal of Educational Research 97 (1): 3–19 Washington Office of the Superintendent of Public Instruction (WOSPI) 2008 Guidelines for Accelerating Students into High School Mathematics in Grade Olympia, WA: State of Washington Office of the Superintendent of Public Instruction http://www.k12.wa.us/Mathematics/Standards/Compression pdf (accessed March 20, 2014) Williams, Trish, Edward Haertel, Michael W Kirst, Matthew Rosin, and Mary Perry 2011 Preparation, Placement, Proficiency: Improving Middle Grades Math Performance Policy and Practice Brief, February 2011 Mountain View, CA: EdSource Wilson, Aaron 2010 “Vocabulary in the Secondary School Classroom.” New Zealand: Secondary Literacy Project 882 References California Mathematics Framework Wisconsin Center for Education Research (WCER) 2007 “CGI Math Encourages Ingenuity and Reasoning (in Students and Teachers).” WCER Research Highlights, Spring 2007 Madison, WI: WCER Wisconsin Department of Public Instruction (WDPI) 2013 Math Glossary of Terms Madison, WI: Wisconsin Department of Public Instruction http://standards.dpi.wi.gov/stn_mathglos (accessed March 20, 2014) Witzel, Bradley S., Paul J Riccomini, and Elke Schneider 2008 “Implementing CRA with Secondary Students with Learning Disabilities in Mathematics.” Intervention in School and Clinic 43:270–76 Woodward, John, Sybilla Beckmann, Mark Driscoll, Megan Franke, Patricia Herzig, Asha Jitendra, Kenneth R Koedinger, and Philip Ogbuehi 2009 Improving Mathematical Problem Solving in Grades Through 8: A Practice Guide Washington, DC: National Center for Education Evaluation and Regional Assistance, Institute of Education Sciences, U.S Department of Education http://ies.ed.gov/ncee/wwc/ publications_reviews.aspx (accessed March 20, 2014) Wu, Hung-Hsi 2012 “To Accelerate, or Not.” The Huffington Post, September 20, 2012 http://www huffingtonpost.com/hunghsi-wu/math-education_b_1901299.html (accessed March 20, 2014) Xin, Yan Ping, and Asha K Jitendra 1999 “The Effects of Instruction in Solving Mathematical Word Problems for Students with Learning Problems: A Meta-Analysis.” Journal of Special Education 32:207–25 California Mathematics Framework References 883 .. .References Abrams, Joshua 2001 Mathematical Modeling: Teaching the Open-ended Application of Mathematics... http://www.cacollaborative.org/sites/default/files/CA_Collaborative_8th_Grade_Algebra pdf [Link no longer valid] (accessed March 18, 2014) California Mathematics Framework References 863 Black, Paul, Christine Harrison, Clare Lee, Bethan Marshall, and Dylan Wiliam 2004... Education http://www.cde.ca.gov/sp/cd/re/documents/psframeworkkvol1.pdf (accessed March 18, 2014) 864 References California Mathematics Framework 2010b Improving Education for English Learners: Research-Based

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