What Constitutes Effective Mathematics Instruction: A Comparison of Chinese Expert and Novice Teachers’ Views

REFERENCES

• Allen , R. M. and Casbergue , R. M . 1997 . Evolution of novice through expert teachers’ recall: Implications for effective reflection on practice . Teaching and Teacher Education , 13 ( 7 ) : 741 – 755 .
   Web of Science ®Google Scholar
• An , S. , Kulm , G. and Wu , Z. 2004 . The pedagogical content knowledge of middle school mathematics teachers in China and the U.S . Journal of Mathematics Teacher Education , 7 ( 2 ) : 145 – 172 .
   Google Scholar
• Artzt , A. F. , Armour-Thomas , E. and Curcio , F. R. 2008 . Becoming a reflective mathematics teacher: A guide for observations and self-assessment , 2nd ed. , New York, NY : Taylor & Francis .
   Google Scholar
• Berliner , D. C. 2001 . Learning about and learning from expert teachers . International Journal of Educational Research , 35 ( 5 ) : 463 – 482 .
   Google Scholar
• Biggs , J. B. and Watkins , D. A. 1996 . “ The Chinese learner in retrospect ” . In The Chinese learner: Cultural, psychological, and contextual influences , Edited by: Watkins , D. A. and Biggs , J. B. 269 – 285 . Hong Kong, , China : Comparative Educational Research Centre, The University of Hong Kong .
   Google Scholar
• Borko , H. and Livingston , C. 1989 . Cognition and improvisation: Differences in mathematics instruction by expert and novice teachers . American Educational Research Journal , 26 ( 4 ) : 473 – 498 .
   Web of Science ®Google Scholar
• Cai , J. , Kaiser , G. , Perry , B. and Wong , N. Y. 2009 . Effective mathematics teaching from teachers’ perspectives: National and cross-national studies , Rotterdam, , The Netherlands : Sense .
   Google Scholar
• Cai , J. and Nie , B. 2007 . Problem solving in Chinese mathematics education: Research and practice . ZDM—The International Journal on Mathematics Education , 39 ( 5–6 ) : 459 – 473 .
   Google Scholar
• Colestock , A. and Sherin , M. G. 2009 . Teachers’ sense-making strategies while watching video of mathematics instruction . Journal of Technology and Teacher Education , 17 ( 1 ) : 7 – 29 .
   Google Scholar
• Corbin , J. and Strauss , A. 2008 . Basics of qualitative research , 3rd ed. , Los Angeles, CA : Sage .
   Google Scholar
• Correa , C. A. , Perry , M. , Sims , L. M. , Miller , K. F. and Fang , G. 2008 . Connected and culturally embedded beliefs: Chinese and U.S. teachers talk about how their students’ best learn mathematics . Teaching and Teacher Education , 24 ( 1 ) : 140 – 153 .
   Web of Science ®Google Scholar
• Fan , L. and Zhu , Y. 2004 . “ How have Chinese students performed in mathematics? A perspective from large-scale international comparisons ” . In How Chinese learn mathematics: Perspectives from insiders , Edited by: Fan , L. , Wong , N. Y. , Cai , J. and Li , S. 3 – 26 . Singapore : World Scientific .
   Google Scholar
• Huang , R. and Leung , F. K. S. 2004 . “ Cracking the paradox of the Chinese learners: Looking into the mathematics classrooms in Hong Kong and Shanghai ” . In How Chinese learn mathematics: Perspectives from insiders , Edited by: Fan , L. , Wong , N. Y. , Cai , J. and Li , S. 348 – 381 . Singapore : World Scientific .
   Google Scholar
• Huang , R. and Leung , F. K. S. 2005 . Deconstructing teacher-centeredness and student-centeredness dichotomy: A case study of a Shanghai mathematics lesson . The Mathematics Educators , 15 ( 2 ) : 35 – 41 .
   Google Scholar
• Huang , R. and Li , Y. 2009a . “ Examining the nature of effective teaching through master teachers’ lesson evaluation in China ” . In Effective mathematics teaching from teachers’ perspectives: National and cross-national studies , Edited by: Cai , J. , Kaiser , G. , Perry , B. and Wong , N. Y. 163 – 182 . Rotterdam, , The Netherlands : Sense .
   Google Scholar
• Huang , R. and Li , Y. 2009b . Pursuing excellence in mathematics classroom instruction through exemplary lesson development in China: A case study . ZDM—The International Journal on Mathematics Education , 41 ( 3 ) : 297 – 309 .
   Google Scholar
• Huang , R. , Peng , S. , Wang , L. and Li , Y. 2010 . “ Secondary mathematics teacher professional development in China ” . In Reforms and issues in school mathematics in East Asia , Edited by: Leung , F. K. S. and Li , Y. 129 – 152 . Rotterdam, , The Netherlands : Sense .
   Google Scholar
• Krull , E. , Oras , K. and Sisask , S. 2007 . Differences in teachers’ comments on classroom events as indicators of their professional development . Teaching and Teacher Education , 23 ( 7 ) : 1038 – 50 .
   Web of Science ®Google Scholar
• Leinhardt , G. 1989 . Math lessons: A contrast of novice and expert competence . Journal for Research in Mathematics Education , 20 ( 1 ) : 52 – 75 .
   Web of Science ®Google Scholar
• Leinhardt , G. and Smith , D. 1985 . Expertise in mathematics instruction: Subject matter knowledge . Journal of Educational Psychology , 77 ( 3 ) : 247 – 271 .
   Web of Science ®Google Scholar
• Leung , F. K. S. 2005 . Some characteristics of East Asian mathematics classrooms based on data from the TIMSS 1999 video study . Educational Studies in Mathematics , 60 ( 2 ) : 199 – 215 .
   Google Scholar
• Li , Q. , Ni , Y. J. and Xiao , N. P. 2005 . [Elementary school mathematical teachers’ subject matter knowledge: A comparative analysis of expert teachers and non-expert teachers] . Journal of Educational Studies , 1 ( 6 ) : 57 – 64 .
   Google Scholar
• Li , Y. 2007 . Examining and understanding mathematics classroom instruction and possible contributing factors through a cross-national lens . School Science and Mathematics , 107 ( 8 ) : 308 – 310 .
   Google Scholar
• Li , Y. and Shimizu , Y. 2009 . Exemplary mathematics instruction and its development in East Asia . ZDM—The International Journal on Mathematics Education , 41 ( 3 ) : 257 – 395 .
   Google Scholar
• Ma , L. 1999 . Knowing and teaching elementary mathematics: Teachers’ understanding of fundamental mathematics in China and the United States , Mahwah, NJ : Erlbaum .
   Google Scholar
• Ministry of Education, P. R. China . 2001 . [Mathematics curriculum standard for compulsory education stage (experimental version)] , Beijing, , China : Beijing Normal University Press .
   Google Scholar
• Mok , I. A. C. 2006 . “ Teacher-dominating lessons in Shanghai: The insiders’ story ” . In Mathematics classrooms in twelve countries: The insider's perspective , Edited by: Clarke , D. , Keitel , C. and Shimizu , Y. 87 – 98 . Rotterdam, , The Netherlands : Sense .
   Google Scholar
• Sato , M. , Akita , K. and Iwakawa , N. 1993 . Practical thinking styles of teachers: A comparative study of expert and novice thought processes and its implications for rethinking teacher education in Japan . Peabody Journal of Education , 68 ( 4 ) : 100 – 110 .
   Google Scholar
• Schempp , P. , Tan , S. , Manross , D. and Fincher , M. 1998 . Differences in novice and competent teachers’ knowledge . Teachers and Teaching: Theory and Practice , 4 ( 1 ) : 9 – 20 .
   Google Scholar
• Star , J. R. and Strickland , S. K. 2008 . Learning to observe: using video to improve preservice mathematics teachers’ ability to notice . Journal of Mathematics Teacher Education , 11 ( 2 ) : 107 – 125 .
   Google Scholar
• Stepich , D. 1991 . From novice to expert: Implications for instructional design . Performance and Instruction , 30 ( 6 ) : 13 – 17 .
   Google Scholar
• Stevenson , H. W. and Stigler , J. W. 1992 . The learning gap: Why our schools are failing and what we can learn from Japanese and Chinese education , New York, NY : Summit Books .
   Google Scholar
• Stigler , J. W. and Hiebert , J. 1999 . The teaching gap: Best ideas from the world's teachers for improving education in the classroom , New York, NY : Free Press .
   Google Scholar
• Wang , T. and Murphy , J. 2004 . “ An examination of coherence in a Chinese mathematics classroom ” . In How Chinese learn mathematics: Perspectives from insiders , Edited by: Fan , L. , Wong , N. Y. , Cai , J. and Li , S. 107 – 123 . Singapore : World Scientific .
   Google Scholar
• Watkins , D. A. and Biggs , J. B. 2001 . Teaching the Chinese learner: Psychological and pedagogical perspectives , Hong Kong, , China : Comparative Education Research Center, The University of Hong Kong .
   Google Scholar
• Westerman , D. 1991 . Expert and novice teachers decision making . Journal of Teacher Education , 42 ( 4 ) : 292 – 305 .
   Web of Science ®Google Scholar
• Zhang , D. , Li , S. and Tang , R. 2004 . “ The “two basics”: Mathematics teaching and learning in Mainland China ” . In How Chinese learn mathematics: Perspectives from insiders , Edited by: Fan , L. , Wong , N. Y. , Cai , J. and Li , S. 189 – 207 . Singapore : World Scientific .
   Google Scholar