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Research Paper Presentations at Professional Conferences
Cai, J. Bob Perry, N. Y. Wong, & Kaiser, G. (July, 2006). What is effective teaching? East Meets West. A Working Group at the Thirtieth Annual Meeting of the International Group for the Psychology of Mathematics Education. Prague, Czech Republic: Charles University in Prague.
Cifarelli, V.. & Cai, J. (July, 2006). The role of self-generated problem posing in mathematical exploration. Paper presented at the Thirtieth Annual Meeting of the International Group for the Psychology of Mathematics Education. Prague, Czech Republic: Charles University in Prague.
Wang, N. & Cai, J. (July, 2006). An investigation of factors influencing teachers’ scoring student responses to mathematics constructed-response assessment tasks. Paper presented at the Thirtieth Annual Meeting of the International Group for the Psychology of Mathematics Education. Prague, Czech Republic: Charles University in Prague.
Cifarelli, V.. & Cai, J. (April, 2006). The evolution of mathematical explorations in open‑Ended problem solving situations. Paper presented at the Annual Meeting of the American Educational Research Association at San Francisco, CA, April 7-12, 2006.
Cai, J. (April, 2006). Mathematics learning in open-ended situations. Symposium presented at the Research Pre-session of the National Council of Teachers of Mathematics 84 th annual conference in St Louis, MO, April 24 - 26, 2006.
Cai, J. (November, 2005). Intended, implemented/planned, and achieved mathematical curricula in U.S. and China: Some highlights from a decade of research. Invited feature presentation at the first International Mathematics Curriculum Study. Chicago, IL: The University of Chicago. November 11-13, 2005.
Cai, J., Perry, B., Wong, N.Y. (August, 2005). What is Effective Mathematics Teaching? A Dialogue between East and West. Paper presented at the Third East Asia Regional Conference on Mathematical Education. August 7-12, 2005. China: Shanghai, Nanjing and Hangzhou.
Mok, I.A.C., Cai, J. & Cheung, A. F. (August, 2005). Teaching mathematics through problem solving: Struggles a Hong Kong teacher faces. Paper presented at the Third East Asia Regional Conference on Mathematical Education. August 7-12, 2005. China: Shanghai, Nanjing and Hangzhou.
Cai, J. (July, 2005). Critical features of effective mathematics teaching: Issues and practice. Paper presented at the International Conference of Mathematics Education. July 5-9, 2005. Hong Kong: Hong Kong Institute of Education.
Cai, J., Marcus, R., Kramer, S., Cooper, L., Merlino, F. J., & Wolff, E. (April, 2005). Impact of Connected Mathematics Program on students’ achievement measured by the Pennsylvania and New Jersey State Assessments. Paper presented at the symposium, “Impact of Four NSF-Funded Curricula on Students’ Learning: Evidence from Ten School Districts in NJ and PA” (organized by Jinfa Cai), at the Annual Meeting of the American Educational Research Association at Montreal, Canada, April 11-15, 2005.
Kramer, S., Marcus, R., Cai, J., Cooper, L., Merlino, F. J., & Wolff, E. (April, 2005). Impact of four NSF-funded mathematics curricula on students’ achievement. Paper presented at the symposium, “What Works: Evidence from the Greater Philadelphia Secondary Math Project,” (organized by Jinfa Cai) at the Research Pre-session of the National Council of Teachers of Mathematics 83 rd annual conference in Anaheim, CA, April 4-6, 2005.
Cooper, L., Kramer, S., Cai, J., Marcus, R., Impact of Interactive Mathematics Program on students’ achievement. Paper presented at the symposium, “Impact of Four NSF-Funded Curricula on Students’ Learning: Evidence from Ten School Districts in NJ and PA” (organized by Jinfa Cai), at the Annual Meeting of the American Educational Research Association at Montreal, Canada, April 11-15, 2005.
Kramer, S., Cai, J., Marcus, R., Cooper, L., Merlino, F. J., & Wolff, E. (April, 2005). Impact of Mathematics in Context on students’ achievement measured by the Pennsylvania System of School Assessment. Paper presented at the symposium, “Impact of Four NSF-Funded Curricula on Students’ Learning: Evidence from Ten School Districts in NJ and PA” (organized by Jinfa Cai), at the Annual Meeting of the American Educational Research Association at Montreal, Canada, April 11-15, 2005.
Marcus, R., Cooper, L., Kramer, S., & Cai, J., Merlino, F. J., & Wolff, E. (April, 2005). Impact of Core-Plus Mathematics Project on students’ achievement. Paper presented at the symposium, “Impact of Four NSF-Funded Curricula on Students’ Learning: Evidence from Ten School Districts in NJ and PA” (organized by Jinfa Cai), at the Annual Meeting of the American Educational Research Association at Montreal, Canada, April 11-15, 2005.
Mok, I.A.C., Cai, J. & Cheung, A. F. (July, 2004). Two Sides of a Coin in Teaching: Developing basic and higher-order thinking skills. Paper presented at the 10 th International Congress of Mathematics Instruction. July, 4 – 11, 2004. Copenhagen, Denmark.
Cai, J., Lew, H. C., Morris, A., Moyer, J. C., Ng, S. F. & Schmittau, J. (2004, April). The development of students' algebraic thinking in earlier grades: A cross-cultural comparative perspective. Paper presented at the Annual Meeting of the American Educational Research Association at San Diego, CA, April 12-17, 2004.
Cai, J. & Hwang, S. (2003, July). A perspective of investigating the direct link between mathematical problem solving and problem posing. Paper presented at in the Joint Annual Meeting of the PME and PME/NA. Honolulu, HI: University of Hawaii, July 13-18, 2003.
Cai, J. (2003, April). U.S. and Chinese teachers’ knowing, evaluating, and constructing representations in mathematics instruction. Paper presented at the 2003 American Educational Research Association annual conference in Chicago, IL., April 21-25, 2003.
Cai, J. (2003, April). Understanding students’ mathematical thinking: Factors influencing on teachers’ analyzing students’ written responses to open-ended assessment tasks. Paper presented at the 2003 American Educational Research Association annual conference in Chicago, IL., April 21-25, 2003.
Cai, J., Moyer, J. C., Ng, S. F., & Huinker, D. (2003, April). Developing algebraic reasoning in earlier grades: Case studies of Chinese, Singaporean, and U.S. school mathematics curricula. Paper presented in a Symposium (organized by Jinfa Cai) at the Research Presession of the National Council of Teachers of Mathematics 81th annual conference in San Antonio, TX, April 7-9, 2003.
Cai, J. (2002, April). The development of students’ generalized and generative thinking in mathematical problem solving and problem posing. Paper presented at the 2002 Annual Meeting of the American Educational Research Association. New Orleans, LA, April 1-5, 2002.
Cai, J., Lo, J. & Watanabe, T. (2001, April). Intended curricular treatments for students' conceptual understanding in U.S. and Asian school mathematics: A case of arithmetic average . Paper presented at the 2001 Annual Meeting of the American Educational Research Association. Seattle, WA, April 7-12, 2001.
Cai, J. (2000, July/August). Problem-based mathematics instruction: Premises and challenges. Paper presented at the 9 th International Congress of Mathematics Instruction. July, 31-August 6, 2000. Japan.
Cai, J. (2000, July/August). Achieving coherence in mathematics instruction: Theoretical and practical perspectives. Paper presented at the 9 th International Congress of Mathematics Instruction. July, 31 – August 6, 2000. Japan
Cai, J. (2000, April). Parental roles in students' learning of mathematics: Searching for explanations from an international perspective. Paper presented at the annual meeting of the American Educational Research Association; New Orleans, LA; April 24-28, 2000.
Cai, J. (2000, April). Developmental differences of U.S. and Chinese students' mathematical thinking in problem solving. Paper presented at the annual meeting of the American Educational Research Association; New Orleans, LA; April 24-28, 2000.
Cai, J. (2000, April). Improving students' learning of mathematics: Lessons from cross-national studies involving U.S. and Chinese students. Paper presented at the Research Presession of the National Council of Teachers of Mathematics annual meeting; Chicago, IL; April 6-10, 2000.
Cai, J. (1999, October). Instructional impact on students' selection of strategies and representations in problem solving. Paper presented at the Twenty-first Annual Meeting of the North American Chapter of the International Group of the Psychology of Mathematics Education.
Cai, J. (1998, April). Solution representation and pedagogical representation in U.S. and Chinese classrooms. Paper presented at the annual meeting of the American Educational Research Association; San Diego, CA; April 13 - 18, 1998.
Cai, J. (1998, April). Cognitive complexity of solving arithmetic average problems: A cross-national study. Paper presented at the annual meeting of the American Educational Research Association; San Diego, CA; April 13 - 18, 1998.
Cai, J. (1997, October). Generating multiple solutions to mathematical problems by prospective secondary teachers. Paper presented at the Nineteenth Annual Meeting of the North American Chapter of the International Group of the Psychology of Mathematics Education. Illinois State University, IL. October 18 - 21, 1997.
Cai, J. (1997, March). An investigation of U.S. and Chinese students' mathematical problem posing and problem solving. Paper presented at the annual meeting of the American Educational Research Association; Chicago, IL; March 24-28, 1997.
Cai, J. (1997, September). Mathematical tasks, mathematical discourse, and mathematical problem solving in U.S. and Chinese classrooms. Paper presented at the National Academy of Education Fall Meeting. University of Colorado at Boulder. May 15, 1997.
Cai, J., Moyer, J. C., & Grochouski (1997, March). Making the mean meaningful: Two instructional studies. Paper presented at the annual meeting of the American Educational Research Association; Chicago, IL; March 24-28, 1997.
Cai, J. Moyer, J. C., & Wang, N. (1997, March). Parental roles in students' learning of mathematics. Paper presented at the annual meeting of the American Educational Research Association; Chicago, IL; March 24-28, 1997.
Cai, J., Moyer, J. C., & Wang, N. (1996, October). The development of an instrument for assessing parental involvement in students' learning of mathematics. Paper presented at the Eighteenth Annual Meeting of the North American Chapter of the International Group of the Psychology of Mathematics Education. October 12 - 15, 1996. Panama City, FL: Florida State University.
Moyer, J. C., Cai, J., Pustejovsky, S. (1996, October ). Inner city middle school students' understanding of speed. Paper presented at the Eighteenth Annual Meeting of the North American Chapter of the International Group of the Psychology of Mathematics Education. October 12 - 15, 1996. Panama City, FL: Florida State University.
Cai, J. (1995, July). Beyond the computational algorithm: Students' understanding of the arithmetic average concept. Paper presented at the Nineteenth Annual Meeting of the International Group for the Psychology of Mathematics Education. Recife, Brazil: Universidade Federal de Pernambuco.
Cai, J. (1995, October). Exploring gender differences in solving open-ended mathematical problems. Paper presented at the Seventeenth Annual Meeting of the North American Chapter of the International Group of the Psychology of Mathematics Education. Columbus, OH.
Cai, J. (1995, April). Mathematical exploration: How did two college students pose and solve their own mathematical problems? Paper presented at the 1995 annual meeting of the American Educational Research Association. San Francisco, CA.
Cai, J. & Moyer, J. C. (1995, October). Middle school students' understanding of average: A problem solving approach. Paper presented the Seventeenth Annual Meeting of the North American Chapter of the International Group of the Psychology of Mathematics Education. Columbus, OH.
Cai, J. & Silver, E. A. (1994, November). A cognitive analysis of Chinese students' mathematical problem solving: An exploratory study. Paper presented at the sixteenth annual meeting of North American Chapter of the International Group for the Psychology of Mathematics Education. Louisiana State University, Baton Rouge, Louisiana.
Silver, E. A., Moskal, B., Cai, J., McDonald, E., & Burkett, M. (1994, April). Problem posing: A measure of program impact on students' mathematical thinking. Paper presented at the annual meeting of the American Educational Research Association. New Orleans, LA.
Cai, J. (1993, August). The goals, content, and sequence of elementary school mathematics curriculum: A cross-cultural perspective. Paper presented at the International Conference on the Mathematics, Technology, Culture, and Children, August 24-25, 1993 and the International Conference on the Cultural History of Mathematics, August 26-27, 1993. Tokyo, Japan.
Cai, J. & Silver, E. A. (1993, April). Mathematical abilities with symbol manipulation and mathematics understanding: A comparison between U.S. and China. Paper presented at the annual meeting of the American Educational Research Association. Atlanta, GA.
Henningsen, M. & Cai, J. (1993, April). Achieving coherence in mathematics instruction using the One Problem-Multiple Changes Approach. Paper presented at the annual meeting of the American Educational Research Association. Atlanta, GA.
Silver, E. A. & Cai, J. (1993, April). Mathematical problem-posing and problem-solving by middle school students. Paper presented at the annual meeting of the American Educational Research Association. Atlanta, GA.
Magone, M., Wang, N., Cai, J., & Lane, S. (1993, April). An analysis of the cognitive complexity of QUASAR's performance assessments and their sensitivity to measuring changes in students' thinking. Paper presented at the annual meeting of the American Educational Research Association. Atlanta, GA.
Silver, E. A. & Cai, J. (1993, April). Schemes for analyzing student responses to QUASAR's performance assessments: Blending cognitive and psychometric considerations. Paper presented at the annual meeting of the American Educational Research Association. Atlanta, GA.
Cai, J. (1992, April). A protocol-analytic study of metacognition in mathematical problem solving. Paper presented at the 1992 annual meeting of the American Educational Research Association. San Francisco, CA.
Magone, M., Cai, J., Silver, E. A., & Wang, N. (1992, April). Validity evidence for the cognitive complexity of performance assessments. Paper presented at the 1992 annual meeting of the American Educational Research Association. San Francisco, CA.
Selected Oral Presentations
Cai, J. (April, 2006). Cross-national comparisons of mathematics learning and instruction . Discussant for the session at the Annual Meeting of the American Educational Research Association at San Francisco, CA, April 7-12, 2006.
Cai, J. (April, 2006). Why students in East Asian are higher achievers? Discussant for the session at the Research Pre-session of the National Council of Teachers of Mathematics 84 th annual conference in St Louis, MO, April 24 - 26, 2006.
Cai, J. (June, 2006). Fostering conceptual understanding in mathematics: A case of fractions. A workshop at the Mathematics Section of the Department of Education, Hong Kong, SAR of China. June, 5 – 9, 2006. (Invited).
Cai, J. (May, 2006). Improve students’ learning in China: Six recommendations from empirical investigations. A two-hour keynote speech at the Curriculum Reform Conference. Zhengzhou, China, May 28-31, 2006 (Invited)
Cai, J. (July, 2005). What research says about developing basic mathematical skills and conceptual understanding? A three-hour lecture at the Institute of Curriculum and teaching material development, Ministry of Education in Beijing, China. July 26, 2005. (Invited)
Cai, J. (July, 2005). Reform for school mathematics curriculum in the United States: Lessons for school mathematics curriculum reform in China. A three-hour lecture at the Institute of Mathematics, Beijing Normal University. July 21, 2005. (Invited)
Cai, J. (July, 2005). Fostering mathematical problem solving and conceptual understanding in secondary school. A workshop at the Mathematics Section of the Department of Education, Hong Kong, SAR of China. July 9 - 16, 2005. (Invited).
Cai, J. (June/July, 2004). Problem posing as lenses for understanding and improving students’ learning of mathematics. Invited Plenary Presentation at the International Congress on the Problem Solving in Mathematics (ProMath 2004). June 30 – July 2, 2004. Lahti, Finland.
Cai, J. (September, 2004). How U.S. and Chinese students’ solve mathematical problems? Implications for developing students’ mathematical thinking. Colloquium talk at the Department of Mathematics and Computer Science, Acadia University. (Invited)
Cai, J. (January, 2004). Assessment using open-ended tasks for improving students’ learning. A workshop at the Mathematics Section of the Department of Education, Hong Kong, SAR of China. January 2 – 12, 2004. (Invited and Repeated three times).
Cai, J. (2003, December). Features of classroom instruction which can promote both basic skills and conceptual understanding. A three-hour lecture at the Institute of Mathematics, Yunnan Normal University. December 30-31, 2003. (Invited)
Cai, J. (2003, December). How to conduct mathematics education research: A case of investigating parental involvement in students’ learning. A two-hour lecture at the Institute of Mathematics, Yunnan Normal University. December 30-31, 2003. (Invited)
Cai, J. (2003, December). U.S. and Chinese teachers’ conception and construction of representations in mathematics instruction. Colloquium talk at the Department of Mathematics, Michigan State University, December 5-6, 2003. (Invited)
Cai, J. (2003, April). Developing algebraic thinking in early grades: International perspectives. Presentation at the National Council of Teachers of Mathematics 81th annual conference in San Antonio, TX, April 9-12, 2003. (Invited)
Cai, J. (2002, May). Assessing and understanding students’ mathematical thinking: Some insights from cross-national studies in mathematics. Regular Lecture at the International Congress of Mathematics Instruction’s Second East Asian Regional Conference on Mathematics Education , National Institute of Education in Singapore. May 27-31, 2002.
Cai, J. (2002, November). Three-hour seminar on designing assessment Tasks and Analyzing Students’ Performance. Curriculum Development Institute, Hong Kong Department of Education. November 1, 2002. (Invited)
Cai, J. (2002, November). A 90-minute workshop to 28 mathematics teachers in Christiana School District on Hands-on Geometric Exploration. August 22, 2003.
Cai, J. (2002, June). Mathematics education reform: Lessons for Chinese teachers and educators. Presentation at Guizhou Normal University, Guizhou, P. R. of China, June 2, 2002. (Invited)
Cai, J. (2002, June). Teaching mathematics through problem solving and problem posing: Research insights and instructional considerations. Plenary lecture at the Conference of Teaching Mathematics through Problem Posing and Problem Solving. Xinyi, Guizhou: Xinyi Research Institute of Education and Guizhou Normal University. June 2-5, 2002.
Cai, J. (2002, June). Conducting mathematics education research. A workshop for graduate students at the Department of Mathematics, East China Normal University, Shanghai, China. June 6, 2002. (invited)
Cai, J. (2001, August). Development of mathematical curriculum: Lessons from NCTM Standards and cross-cultural studies. Presentation at the Research Institute of Curriculum and Teaching Materials. Beijing, China, August 21-24, 2001 (invited).
Cai, J. (2001, April). Improving students’ learning of mathematics: What can we learn from cross-national studies in mathematics? Colloquium talk at the Department of Mathematics, University of New Hampshire, April 26, 2001. (Invited)
Cai, J. (2001, April). Teaching mathematics through open-ended problem solving: Challenges and promises. Presentation at the NCTM 79 th Annual Meeting 4-7 April 2001 Orlando, Florida.
Cai, J. (2001, April). Teaching average in Asian school mathematics. Presentation at the NCTM 79 th Annual Meeting 4-7 April 2001 Orlando, Florida.
Cai, J. (2000, December). Using students’ work to improve their learning of mathematics. Presentation at the Education Development Center, Cambridge, MA. December 6, 2000. (Invited)
Cai, J. (1999, March ). The use of open-ended mathematical tasks for assessing students' thinking and reasoning. Presentation at the Department of Curriculum and Instruction, Chinese University of Hong Kong, Hong Kong, March 23, 1999. (Invited)
Cai, J. (1999, March ). A cognitive analysis of U.S. and Chinese students' mathematical problem solving. Presentation at the Department of Curriculum and Instruction, Chinese University of Hong Kong and the Hong Kong Association for Mathematics Education, Hong Kong, March 27, 1999. (Invited)
Cai, J. (1999, March). Describing student mathematical performance qualitatively: An international perspective. Presentation at the Department of Curriculum and Instruction, Chinese University of Hong Kong, Hong Kong, March 30, 1999. (Invited)
Cai, J. (1999, April). The development of students' mathematical thinking and reasoning: A cross-national perspective. Presentation at the Graduate School of Education, Harvard University, April 28, 1999. (Invited)
Cai, J. (1999, July). Developing algebraic reasoning in the middle grades. Presentation at the NCTM Western Reginal Conference, Honolulu, Hawaii, July 27-30, 1999. (Invited)
Cai, J. (1998, April). Mathematical discourse in open-ended problem-based instruction. Workshop at the National Council of Teachers of Mathematics annual conference; Washington, D. C.; April 2-4, 1998.
Cai. J. (1997, January ). An international perspective of mathematics education reform: What is new? Presentation at Ansheng Normal Polytechnic College, Guizhou, P. R. of China. (Invited)
Cai, J. (1997, January). A constructivist view of teaching and learning of mathematics. Presentation at Guizhou Normal University, Guizhou, P. R. of China. (Invited)
Cai, J. (1997, January). Curriculum, instruction, and assessment in secondary school. Presentation at Guizhou Normal University, Guizhou, P. R. of China. (Invited)
Cai, J. (1997, April). Mathematical exploration in middle grades. Presentation at the 75th Annual meeting of the National Council of Teachers of Mathematics. Minneapolis, MN; April 16-20, 1997.
Cai, J. (1997, May). Beyond problem solving: Findings and future directions of mathematical problem-posing research. Colloquium talk at the Department of Mathematics, University of North Carolina at Charlotte, May 15, 1997. (Invited)
Cai, J. (1996, May). M 3: Making the mean meaningful. Presentation at the 96 Green Lake meeting of Wisconsin Mathematics Council. Green Lake, WI.
Cai, J. (1996, April). What research says about U.S. mathematics education? Presentation at the annual meeting of the National Council of Teachers of Mathematics. San Diego, CA.
Cai, J. (1995, April). Evaluation of mathematical communication: Tips for mathematics teachers. Poster presented at the annual meeting of the NCTM. Boston, MA.
Cai, J. (1995, November). Assessing students' mathematical communication in classrooms. Presentation at the Fall meeting of Wisconsin Mathematics Council. Milwaukee, WI: Marquette University.
Cai, J. (1994, November). A conceptual framework for analyzing student responses to complex mathematical problems and its applications. Presentation at a 60-minute research session at the regional meeting of the NCTM. Charleston, WV.
Cai, J. (1993, September). Situated cognition and mathematical performance assessment. Presentation at the first annual meeting of the American Chinese Educational Research and Development Association. Bethesda, Maryland. (Invited)
Cai, J. (1993, October). Some features of mathematics curriculum and instruction in Chinese elementary schools. Presentation at the regional meeting of the NCTM. Pittsburgh, PA.
Cai, J., & Magone, M. (1993, October). Students' cognitive strategies for solving open-ended problems. Paper presented at the Regional Meeting of the NCTM. Pittsburgh, PA.
Cai, J. (1991, March). Elementary school mathematics curriculum: A comparison between U. S. and China. Presentation at the 40th annual conference of the Pennsylvania Council of Teachers of Mathematics. Pittsburgh, PA.
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