MATHEMATICAL MOMENTS WITH MAMIKON

Mamikon is a an ex-Soviet Doctor of Sciences and Theoretical and Mathematical Physics. He immigrated to the United States in 1991 and joined the LUCIMATH team in 2002. Mamikon enjoys visiting MCPT courses and participating in MCPT trainings. One of Mamikon's gifts is his ability to enhance our teacher conversations about mathematics with connections that are unusual, interesting, and relevant. These links are examples of the interactive demonstrations and activities that Mamikon has created to support MCPT mathematics. For more information about Mamikon and to explore other puzzles, games and mathematical connections that he has created, please visit his website at http://www.mamikon.com.

Animation of the Rectangle Paradox
http://www.its.caltech.edu/~mamikon/RectangleParadox.html

Patterns in Pascal's Triangle
http://www.its.caltech.edu/~mamikon/PascalSierpinski.html

Number Charts
http://www.its.caltech.edu/~mamikon/NumberCharts.html

RECOMMENDED READING

RAND Mathematics Study Panel. Mathematical Proficiency for All Students: Toward a Strategic Research and development Program in Mathematics Education. (Ball, D.L. (chair) Santa Monica, 2003)

Boaler, J. Experiencing School Mathematics: Traditional and Reform Approaches to Teaching and Their Impact on Student Learning, Revised and Expanded Edition. (Mahwah, New Jersey: Lawrence Erlbaum Associates, 2002)

Brown, C.A., Smith, M.S. Supporting the development of mathematical pedagogy. (The Mathematics Teacher, 90(2), 138-143 1997)

Carpenter, T. P., Empson, S. B., Fennema, E. & Franke, M. Loef. Children’s Mathematics: Cognitively Guided Instructions (Portsmouth, New Hampshire: Heinemann, 1999)

Greenes, C, Findell, C. Algebra Problems from Groundworks: Student Workbook (New York: Vol. 1-7, Creative Publication, 2000)

Kilpatrick, J., Swafford, J., & Findell, B. (editors). Adding It Up: Helping Children Learn Mathematics (Washington D.C.: National Academy Press, 2001)

Loucks-Horsley, S., Hewson, P.W., Love, N., Stiles, K.E. Designing professional development for teachers of science and mathematics. (Thousand Oaks, CA: Corwin Press, 1998)

Ma, L. Knowing and Teaching Elementary Mathematics: Teachers’ Understanding of Fundamental Mathematics in China and the United States (Lawrence Erlbaum Associates, Mahwah, New Jersey, 1999)

Mullis, I.V.S., Martin, M.O., Gonzalez, E.J., Gregory, K.D., Garden, R.A.., O'Connor, K.M., Chrostowski, S.J., Smith, T.A. Third International Mathematics and Science Study (TIMSS). (Boston, MA: International Study Center, Lynch School of Education, Boston College, 1999)

Stigler, J. W. & Hieber, J. The Teaching Gap: Best Ideas from the World’s Teachers for Improving Education in the Classroom (New York: Free Press, 1999)

Cheers and Impatience; LAUSD scores are better but have far to go. (The Los Angeles Times. Los Angeles, Calif.: Aug 21, 2002. pg. B.12)

Knowing and Learning Mathematics for Teaching (Washington D.C.: National Academy Press, 2001)

The Mathematical Education of Teachers: Issues in Mathematics Education, volume II (Washington D.C.: Mathematic Association of America, 2001)

Mathematics Framework for California Public Schools (California Department of Education, 2000)

Principles and Standards of School Mathematics (The National Council of Teachers of Mathematics, 2000)
Single Subject Matter Standards: Mathematics (California Commission on Teacher Credentialing (CCTC) 2003)

Standards of Program Quality and Effectiveness for the Subject Matter Requirement for the Multiple Subject Teaching Credential (California Commission on Teacher Credentialing (CCTC) 2001)

Standards of Quality and Effectiveness for Programs of Supplementary Authorization in Mathematics (California Commission on Teacher Credentialing (CCTC) 1999)