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ALGEBRAIC THINKING RESOURCES

Articles
Books/Manuals
Websites

ARTICLES

Articles that Meet Level 1 Criteria Standards

Allsopp, D. H. (1999). Using modeling, manipulatives, and mnemonics with eighth-grade math students. Teaching Exceptional Children, 32(2). 74-81.

Kitz, W. R. & Thorpe, H. W. (1995). A comparison of the effectiveness of videodisc and traditional algebra instruction for college-age students with learning disabilities. Remedial and Special Education, 16(5). 295-306.

Maccini, P., & Hughes, C. A. (2000). Effects of a problem-solving strategy on introductory algebra performance of secondary students with learning disabilities. Learning Disabilities Research & Practice, 15(1). 10-21.

Marsh, L. G., & Cooke, L. C. (1996). The effects of using manipulatives in teaching math problem solving to students with learning disabilities. Learning Disabilities Research and Practice, 11(1). 58-65.

Mercer, C. D., & Miller, S. P. (1992). Teaching students with learning problems in math to acquire, understand, and apply basic math facts. Remedial and Special Education, 13(3). 19-35.

Miller, S., & Mercer, C. D. (1997). Teaching math computation and problem solving: A program that works. Intervention in School & Clinic, 32(3). 185-190.

Montague, M., Warger, C., & Morgan, T. H. (2000). Solve it! Strategy instruction to improve mathematical problem solving. Learning Disabilities Research & Practice, 12(2). 110-116.

Rivera, D. M., & Bryant, B. R. (1992). Mathematics instruction for students with special needs. Intervention and School Clinic, 28(2). 71-86.

Snyder, M., & Bambara, L. (1997). Teaching secondary students with learning disabilities to self-manage classroom survival skills. Journal of Learning Disabilitites, 30(5), 534-544.

Thomas, P.G., & Rickhuss, M.G. (1992). An experiment in the use of computer algebra in the classroom. Education & Computing, 8. 255-263.

Related Mathematics References

Beattie, J. R., & Enright, B.E. (1993). Problem solving: Verify the plan with action. Teaching Exceptional Children, 25(2). 60-1.

Berlin, D. F., & White, A. L. (1994). The Berlin-White integrated science and mathematics model. School Science and Mathematics, 94(1). 2-4.

Chisko, A. M. (1985). Developmental math: Problem solving and survival. Mathematics Teacher, 78(8). 592-596.

Cuoco, A. A., Goldenberg, P. E., & Mark, J. (1995). Technology and the mathematics curriculum: Some new initiatives. The Mathematics Teacher, 88(3). 236-240.

Dunn, L., & Hubachek, C. (1995). Sci-math. Educational Programs That Work [on-line]. Available: http://www.ed.gov/pubs/EPTW/eptw6/eptw6h.html

Gable, R. A., Evans, S. S., & Evans, W. H. (1993). It's not over until you examine your answer. Teaching Exceptional Children, 25(2). 61-2.

Hutchinson, N. L. (1993). Effects of cognitive strategy instruction on algebra problem solving of adolescents with learning disabilities. Learning Disability Quarterly, 16. 34-63.

Issacs, A., & Carroll, W. (1999). Strategies for basic-facts instruction. Teaching Children Mathematics, 5(9). 508-516.

Jintendra, A. & Ping Xin, Y. (1997). Mathematical word-problem-solving instruction for students with mild disabilities and students at risk for math failure: A research synthesis. The Journal of Special Education, 30(4). 412-438.

Jones, E. D., & Wilson, R. (1997). Mathematics instruction for secondary students with learning disabilities. Journal of Learning Disabilities, 30(2), 151-163. (summary to come soon)

Maccini, P., McNaughton, D., & Ruhl, K. (1999). Algebra instruction for students with learning disabilities: Implications from a research review. Learning Disabilities Quarterly, 22(2). 113-126.

Miller, S. P., & Mercer, C. D. (1993). Using data to learn about concrete-semiconcrete-abstract instruction for students with math disabilities. Learning Disabilities Research and Practice, 8(2). 89-96.

Miller, S. P., Butler, F. M., & Lee, K. (1998). Validated practices for teaching mathematics to students with learning disabilities: A review of the literature. Focus on Exceptional Children, 31(1). 1-24.

Montague, M. (1997). Cognitive strategy instruction in mathematics for students with learning disabilities. Journal of Learning Disabilities, 30(2). 164-178.

Moore, N., Ferrell, A., Souders, J., & Todd, C. (1995). Attainment of algebra I skills: Cord applied mathematics 1 and 2. Educational Programs That Work [on-line]. Available: http://www.ed.gov/pubs/EPTW/eptw6/eptw6a.html

Ohanian, S. (1997). Math that measures up. The American School Board Journal. 25-27.

Schoen, H. L. (1993). Assessment issues from a mathematics education perspective (Report No. SE053466). Columbus, OH: ERIC Clearinghouse for Science, Mathematics, and Environmental Education. (ERIC Document Reproduction Service No. ED 359 047)

Thornton, C., & Langrall, C. (1997). Mathematics instruction for elementary students with learning disabilities. Journal of Learning Disabilities, 30(2). 142-150.

Tonack, D. (1992). Math Vantage [on-line]. Available: http://www.nde.state.ne.us/NMSI/mathvantage/

Van Luit, J. E. H., & Schopman, E. A. M. (2000). Improving early numeracy of young children with special educational needs. Remedial and Special Education, 21(1). 27-40.

White, P. A., Porter, A. C., Gamoran, A., & Smithson, J. (1997). Upgrading High School Mathematics: A Look at Three Transition Courses. NASSP Bulletin, 81(586). 72-83.

Xin, Y. P., & Jitendra, A. K. (1999). The effects of instruction in solving mathematical word problems for students with learning problems: A meta-analysis. Journal of Special Education, 32(4). 19p.

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BOOKS/MANUALS

Beech, M. (1999). Accommodations: Assisting students with disabilities- A guide for educators. Tallahassee, FL: Florida Department of Education, Bureau of Instructional Support and Community Services.

Dolan, D., Williamson, J., & Muri, M. (1997). Mathematics Activities for Elementary School Teachers: A Problem Solving Approach (3rd ed.). New York: Addison Wesley Longman.

Florida Department of Education. (1993). Opening the Gate. Tallahassee, FL: Author.

Florida Department of Education. (1996). Florida Curriculum Framework, Mathematics. Tallahassee, FL: Author.

Heddens, J. W., & Speer, W. R. (1997). Today's Mathematics, Part 1: Concepts and Classroom Methods (9th ed.). New Jersey: Prentice Hall.

Heddens, J. W., & Speer, W. R. (1997). Today's Mathematics, Part 2: Activities and Instructional Ideas (9th ed.). New Jersey: Prentice Hall.

National Council of Teacher of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: Author.

Reiser, R. A., & Dick, W. (1996). Instructional Planning: A guide for teachers (2nd ed.). Needham Heights, MA: Allyn & Bacon.

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WEBSITES

Review of High Quality Experimental Mathematics Research is a synthesis of mathematical research prepared by NCITE for the California State Board of Education. The research was conducted for the purpose of informing the Board of high quality studies in a manner that will facilitate: the adoption of curricular materials by the Curriculum Development and Suplemental Materials Commission, the revision of the California Mathematics Framework by the State Board of Education, and any other purpose best served by empirically established and verified research on efficient mathematics instruction.
http://idea.uoregon.edu/~ncite/documents/math/math.html

"21st Century Community Learning Center," this is a website that provides grants for planning, implementing or expanding after-school projects.
http://www.ed.gov/21stcclc/

University of Mississippi sponsors a series of websites that teachers and students can access, called "Problem of the Week." These websites cater to elementary, middle, and high school students.
http://www.olemiss.edu/mathed

National Council for Teachers of Mathematics (NCTM). Math Principles and Standards, frequently asked questions about mathematics education, and links to other resources.
http://www.nctm.org

The Math Forum provides problems of the week, teacher suggestions, "Dr. Math," to answer questions and receive answers, math lesson plans. For elementary through college level.
http://forum.swarthmore.edu/

PBS Mathline provides online math lessons and activities organized by grade levels and math categories.
http://www.pbs.org/mathline

Internet Resources for Elementary Math Educators provides links to lesson plans, teacher resources, and software that support math education in the elementary grades.
http://www.math.ttu.edu

Go Math provides online help for grades K-12. Tutorials, quizzes, geometry and algebra solutions, lessons and worksheets.
http://gomath.com

Math Archives, from the University of Tennessee, Knoxville. K-12 math topics, lesson plans, Public Domain software, contests.
http://archives.math.utk.edu

Fun Math Lessons, by Cynthia Lanius. K-12 math lessons on topics such as ratio, fractions, and graphs.
http://math.rice.edu/~lanius/

A+ Math, this site has a flashcard creator, math games, homework helper where students input problems and answers to find out if it is correct.
http://www.aplusmath.com

Discovery School's Webmath provides assistance with math problems and explanations as to how they are solved.
http://www.school.discovery.com

Mrs. Glosser's Math Goodies, this site has math lessons, homework help, worksheets and puzzles designed to meet NCTM standards.
http://www.mathgoodies.com

Math Stories, this site has 2,000 math word problems, grades 1-5, sorted by topic and level of difficulty. Answers are provided for teachers.
http://www.mathstories.com

Helping Your Child Learn Math, this website is for parents of students in grades K-5. Math activities that relate math to everyday life, using readily available materials.
http://www.ed.gov/pubs/parents/Math/

Kids Math is a website that includes math lessons, exercises, and games for ages 3-12. Available in English, Spanish, and Chinese.
http://www.kidsmath.com/

Word Problems for Kids includes a single step and multi-step word problems for grades 5 to 12, based on real-world dilemmas.
http://www.stfx.ca/special/mathproblems/welcome.html

Mastering Multiplication Facts is a website with strategies, activities, games, and worksheets to help teach the multiplication facts.
http://www.multiplication.com

Flashcards for Kids is a website with online drill and practice in the four arithmetic processes.
http://www.edu4kids.com

Math Nerds is a website providing help for teachers and students on math questions, ranging from elementary level to differential equations; a "best" section to view problems posed and solutions offered.
http://www.mathnerds.com/

Fun Brain is an interactive site where students can use their math skills to solve problems and play games such as math baseball and math car racing. For K-8 teachers and students.
http://www.funbrain.com

Brain Teasers is for ages 8 to 14, with three new math problems each week, arranged by grade level. Previous weeks answers are posted.
http://www.eduplace.com

Newton's Window is an online newsletter for teachers, students, and parents. Weekly math challenge and topic-centered bulletin boards.
http://www.suzannesutton.com/

Eisenhower National Clearinghouse for Math and Science Education includes descriptions of exemplary mathematics instructional programs from elementary school to college, lesson plans, and the monthly Baker's Dozen- 13 good websites.
http://www.enc.org/

Math Teacher Link includes online classroom resources for algebra, geometry, calculus, and probability.
http://MTL.math.uiuc.edu/

Algebra Help is an online source for assistance with algebra, very text-based.
http://www.algebrahelp.com

Geometry: The Online Learning Center includes a math help desk, geometry applications in other fields, a math search engine for middle and high school grades.
http://www.geometry.net

Do Your Math includes a math expert, puzzle of the week, interactive practice tests for the SAT, AP, and Calculus.
http://www.doyourmath.com

Ask Mr. Calculus provides help with problems from classes beginning in beginning calculus, trigonometry, geometry, and algebra. Sample Advanced Placement (AP) Calculus Exam problems and solutions.
http://www.geocities.com/Athens/Acropolis/6432/

Explore Math includes free membership to a collection of math lesson plans and activities at the high school level.
http://www.exploremath.com

MegaMathematics is a math site sponsored by the Los Alamos National Laboratory, and features explanations and lesson activities on unusual math topics such as infinity, map coloring, and knots, as well as links to other resources and articles.
http://www.c3.lanl.gov/mega-math

KnowZone is a subscription-based online tool that helps students in grades 3 through 8 prepare for standardized math tests. It also provides reinforcement for text material in Scott-Foresman, Silver Burdett Ginn, and Prentice Hall mathematics textbooks. It is accessible to students, parents, and teachers.
http://www.kz.com

The Math Projects Journal is a subscription-based online magazine that emphasizes teaching math concepts with real-life objects (for example, using M&M's for statistics).
http://www.mathprojects.com

Study Works Online is a math site for middle and high school students containing some free elements and some fee-based components. Test practice, homework help, math problems of the week, math bulletin boards for posting problems and receiving feedback on solutions.
http://www.studyworksonline.com

FCAT Rubrics per grade level
http://www.firn.edu/doe/sas/fcat/fcatis01.htm

The Department of Education Homepage, from this page you can scroll to Curriculum, Instruction, & Assessment. Choose Curriculum Services for Sunshine State Standards, Grade Level Expectations, Course Descriptions, Electronic Curriculum Planning Tools, etc. Choose Assessment and Evaluation for information relating to testing; this includes FCAT Mathematics Item and Performance Task Specifications, released FCAT items, etc. Regarding the Curriculum Planning Tool, this tool may be downloaded. It provides lesson plans that are keyed to the Sunshine State Standards and a format for teachers to add their own lesson plans. Some activities are interdisciplinary. Once downloaded, there are additional Learning Activities that can be imported to the tool. A teacher can pick and choose activities and add as desired to create a file of lesson plans.
http://www.firn.edu/doe/

The DOE's Instructional Support and Community Services Homepage includes a list of available services and publications.
http://www.firn.edu/doe/commhome

Cuisenaire website includes a variety of available math manipulatives including Algebra Tiles and overhead manipulatives.
http://www.etacuisenaire.com

Hands On Equations is another very useful manipulative tool for teaching mathematics equations.
http://www.borenson.com

The Math Forum http://forum.swarthmore.edu/

PBS Mathline http://www.pbs.org

Mathematical Resources http://members.stratos.net

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