Mathematics Curriculum Systems: Models for Analysis of Curricular Innovation and Development

REFERENCES

• Battistich , V. , Alldredge , S. and Tsuchida , I. 2003 . “ Number power: An elementary school program to enhance students' mathematical and social development ” . In Standards-based school mathematics curricula: What are they? What do students learn? , Edited by: Senk , S. L. and Thompson , D. R. 133 – 160 . Mahwah, NJ : Erlbaum .
   Google Scholar
• Burkhardt , H. , Fraser , R. and Ridgway , J. 1990 . “ The dynamics of curriculum change ” . In Developments in school mathematics around the world , Edited by: Wirszup , I. and Streit , R. Vol. 2 , 3 – 30 . Reston, VA : National Council of Teachers of Mathematics .
   Google Scholar
• Clements , D. H. 2002 . “ Linking research and curriculum development ” . In Handbook of international research in mathematics education , Edited by: English , L. D. 599 – 630 . Mahwah, NJ : Erlbaum .
   Google Scholar
• Clements , D. H. 2007 . Curriculum research: Toward a framework for “research-based curricula.” . Journal for Research in Mathematics Education , 35 ( 1 ) : 35 – 70 .
   Google Scholar
• Confrey , J. and Stohl , V. , eds. 2004 . On evaluating curricular effectiveness: Judging the quality of K-12 mathematics evaluations , Washington, DC : National Academies Press .
   Google Scholar
• Diefes-Dux , H. , Follman , D. , Zawojewski , J. , Capobianco , B. and Hjalmarson , M. . Model eliciting activities: An in-class approach to improving persistence and retention of women in engineering . Paper presented at the annual conference for the American Society of Engineering Education . Salt Lake City, Utah.
   Google Scholar
• Ferrini-Mundy , J. and Schmidt , W. H. 2005 . International comparative studies in mathematics education: Opportunities for collaboration and challenges for researchers . Journal for Research in Mathematics Education , 36 ( 3 ) : 164 – 175 .
   Web of Science ®Google Scholar
• Gutstein , E. 2003 . Teaching and learning mathematics for social justice in an urban, latino school . Journal for Research in Mathematics Education , 34 ( 1 ) : 37 – 73 .
   Web of Science ®Google Scholar
• Harris , K. , Marcus , R. , McLaren , K. and Fey , J. T. 2001 . Curriculum materials supporting problem-based teaching . School Science and Mathematics , 101 ( 6 ) : 310 – 318 .
   Google Scholar
• Henningsen , M. and Stein , M. K. 1997 . Mathematical tasks and student cognition: Classroom-based factors that support and inhibit high-level mathematical thinking and reasoning . Journal for Research in Mathematics Education , 28 ( 5 ) : 524 – 549 .
   Web of Science ®Google Scholar
• Hiebert , J. , Gallimore , R. , Garnier , H. , Givvin , K. B. , Hollingsworth , H. Jacobs , J. 2003 . Teaching Mathematics in Seven Countries: Results from the TIMSS 1999 Video Study , Washington, DC : U.S. Department of Education, National Center for Education Statistics . (No. NCES 2003-013 Revised)
   Google Scholar
• Hill , H. C. , Rowan , B. and Ball , D. L. 2005 . Effects of teachers' mathematical knowledge for teaching on student achievement . American Educational Research Journal , 42 ( 2 ) : 371 – 406 .
   Web of Science ®Google Scholar
• Hjalmarson , M. . Purposes for mathematics curriculum: Pre-service teachers' perspectives . Proceedings of the 27th Annual Meeting of the International Group for the Psychology of Mathematics Education—North American Chapter [CD-ROM] . Edited by: Lloyd , G. M. , Wilson , M. , Wilkins , J. L. M. and Behm , S. L. Eugene, OR : All Academic .
   Google Scholar
• Kim , J. S. and Sunderman , G. L. 2005 . Measuring academic proficiency unther the No Child Left Behind Act: Implications for educational equity . Educational Researcher , 34 ( 8 ) : 3 – 13 .
   Google Scholar
• Lesh , R. and Carmona , G. 2003 . “ Piagetian conceptual systems and models for mathematizing everyday experiences ” . In Beyond constructivism: A models & modeling perspective on mathematics problem solving, learning & teaching , Edited by: Lesh , R. and Doerr , H. M. 71 – 96 . Mahwah, NJ : Erlbaum .
   Google Scholar
• Lesh , R. , Cramer , K. , Doerr , H. M. , Post , T. and Zawojewski , J. S. 2003 . “ Model-development sequences ” . In Beyond constructivism: A models & modeling perspective on mathematics problem solving, learning & teaching , Edited by: Lesh , R. and Doerr , H. M. 35 – 58 . Mahwah, NJ : Erlbaum .
   Google Scholar
• Lesh , R. , Doerr , H. M. , Carmona , G. and Hjalmarson , M. 2003 . Beyond constructivism . Mathematical Thinking and Learning , 5 ( 2,3 ) : 211 – 234 .
   Google Scholar
• Lloyd , G. M. 1999 . Two teachers' conceptions of a reform-oriented curriculum: Implications for mathematics teacher development . Journal of Mathematics Teacher Education , 2 : 227 – 252 .
   Google Scholar
• Lloyd , G. M. 2002 . “ Mathematics teachers' beliefs and experiences with innovative curriculum materials: The role of curriculum in teacher development ” . In Beliefs: A hidden variable in mathematics education , Edited by: Leder , G. C. , Pehkonen , E. and Törner , G. 149 – 160 . Dordrecht, , The Netherlands : Kluwer Academic .
   Google Scholar
• MacNab , D. 2000 . Raising standards in mathematics education: values, vision, and TIMSS . Educational Studies in Mathematics , 42 ( 1 ) : 61 – 80 .
   Google Scholar
• Margolis , J. and Fisher , A. 2002 . Unlocking the clubhouse: Women in computing , Cambridge, MA : MIT Press .
   Google Scholar
• McCaffrey , D. F. , Hamilton , L. S. , Stecher , B. M. , Klein , S. P. , Bugliari , D. and Robyn , A. 2001 . Interactions among instructional practices, curriculum, and student achievement: The case of standards-based high school mathematics . Journal for Research in Mathematics Education , 32 ( 5 ) : 493 – 517 .
   Web of Science ®Google Scholar
• Middleton , J. A. 1999 . Curricular influences on the motivational beliefs and practice of two middle-school mathematics teachers: A follow-up study . Journal for Research in Mathematics Education , 30 ( 3 ) : 349 – 358 .
   Web of Science ®Google Scholar
• Mokros , J. 2003 . “ Learning to reason numerically: The impact of investigations ” . In Standards-based school mathematics curricula: What are they? What do students learn? , Edited by: Senk , S. L. and Thompson , D. R. 109 – 132 . Mahwah, NJ : Erlbaum .
   Google Scholar
• Mullis , I. V. S. , Martin , M. O. , Gonzalez , E. J. and Chrostowski , S. J. 2004 . TIMSS 2003: Findings from IEA's Trends in International Mathematics and Science Study at the Fourth and Eighth Grades , Chestnut Hill, MA : Boston College, TIMSS & PIRLS International Study Center .
   Google Scholar
• National Council for Teachers of Mathematics . 1989 . Curriculum and evaluation standards for school mathematics , Reston, VA : Author .
   Google Scholar
• National Council for Teachers of Mathematics . 2000 . Principles and Standards for School Mathematics , Reston, VA : Author .
   Google Scholar
• Pligge , M. A. , Kent , L. B. and Spence , M. S. . Examining teacher change within the context of mathematics curriculum reform: Views from middle school teachers . Paper presented at the annual meeting of the American Educational Research Association . New Orleans, LA. April ,
   Google Scholar
• Porter , A. C. 2002 . Measuring the content of instruction: Uses in research and practice . Educational Researcher , 31 ( 7 ) : 3 – 14 .
   Google Scholar
• Putnam , R. T. 2003 . “ Commentary on four elementary mathematics curricula ” . In Standards-based school mathematics curricula: What are they? What do students learn? , Edited by: Senk , S. L. and Thompson , D. R. 161 – 180 . Mahwah, NJ : Erlbaum .
   Google Scholar
• Rasmussen , C. L. 2001 . New directions in differential equations: A framework for interpreting students' understandings and difficulties . Journal of Mathematical Behavior , 20 : 55 – 87 .
   Google Scholar
• Rasmussen , C. L. and Stephen , M. 2002 . Classroom mathematical practices in differential equations . Journal of Mathematical Behavior , 21 : 459 – 490 .
   Google Scholar
• Remillard , J. T. 2000 . Can curriculum materials support teachers' learning? Two fourth-grade teachers' use of a new mathematics text . The Elementary School Journal , 100 ( 4 ) : 331 – 350 .
   Web of Science ®Google Scholar
• Schmidt , W. H. , McKnight , C. C. , Houang , R. T. , Wang , H. , Wiley , D. E. Cogan , L. S. 2001 . Why schools matter: A cross-national comparison of schools and learning , San Francisco, CA : Jossey-Bass .
   Google Scholar
• Stein , M. K. , Grover , B. W. and Henningsen , M. 1996 . Building student capacity for mathematical thinking and reasoning: An analysis of mathematical tasks used in classrooms . American Educational Research Journal , 33 ( 2 ) : 455 – 488 .
   Web of Science ®Google Scholar
• Weiss , I. R. , Pasley , J. D. , Smith , P. S. , Banilower , E. R. and Heck , D. J. 2003 . Looking inside the classroom: A study of K-12 mathematics and science education in the United States , Chapel Hill, NC : Horizon Research .
   Google Scholar