Cognition and Policy Implementation: District Policymakers and the Reform of Mathematics Education

Using a cognitive lens, this article explores school districts' response to recent mathematics reforms. Analyzing the ideas about instruction that district leaders construct from the mathematics reforms, I identify dominant patterns in their understandings. Whereas district leaders in the study understood the mathematics reforms as representing change for their mathematics policies and programs, their understandings tended to miss the full import of the reforms. Focusing on the forms of the mathematics reforms rather than their epistemological and pedagogical functions, district leaders' understandings tended to focus on piecemeal changes that often missed the disciplinary particulars of the reforms. Based on this analysis, I argue for the inclusion of implementers' interpretation of the reform message, along with the more conventional variables such as local resistance to reform and limited local capacity to carry out reform proposals that dominate in the literature in models of the implementation process.

[1]  James P. Spillane,et al.  Reconstructing Conceptions of Local Capacity: The Local Education Agency’s Capacity for Ambitious Instructional Reform , 1997 .

[2]  James P. Spillane,et al.  Chapter 1: Policy and Practice: The Relations Between Governance and Instruction , 1992 .

[3]  Implementation , 2001 .

[4]  James P. Spillane,et al.  Reform and Teaching: Exploring Patterns of Practice in the Context of National and State Mathematics Reforms , 1999 .

[5]  F. Thompson Street-Level Bureaucracy: Dilemmas of the Individual in Public Services , 1983 .

[6]  M. Lampert Knowing, doing, and teaching multiplication , 1986 .

[7]  M. Franke,et al.  Teachers' Shifting Assessment Practices in the Context of Educational Reform in Mathematics. , 1999 .

[8]  W. Smith Teaching as a science. , 1997, Academic radiology.

[9]  D. Yates,et al.  Street-Level Bureaucracy: Dilemmas of the Individual in Public Services , 1981, Michigan Law Review.

[10]  William F. Brewer,et al.  Mental Models in Data Interpretation , 1996, Philosophy of Science.

[11]  D. Ball,et al.  Relations Between Policy and Practice: A Commentary , 1990 .

[12]  Magdalene Lampert,et al.  When the Problem Is Not the Question and the Solution Is Not the Answer: Mathematical Knowing and Teaching , 1990 .

[13]  Malcolm Correll,et al.  A+ for Teaching , 1962 .

[14]  M. Mclaughlin The Rand Change Agent Study Revisited: Macro Perspectives and Micro Realities , 1990 .

[15]  A. Collins,et al.  Situated Cognition and the Culture of Learning , 1989 .

[16]  Dedre Gentner,et al.  Mechanisms of Analogical Learning. , 1987 .

[17]  S. Kiesler,et al.  Managerial Response to Changing Environments: Perspectives on Problem Sensing from Social Cognition. , 1982 .

[18]  James P. Spillane School Districts Matter: Local Educational Authorities and State Instructional Policy , 1996 .

[19]  Michelene T. H. Chi,et al.  Learning from Examples Via Self-Explanations , 1988, Knowing, Learning, and Instruction.

[20]  J. Little Teachers’ Professional Development in a Climate of Educational Reform , 1993 .

[21]  D. Cohen Teaching for Understanding: Challenges for Policy and Practice , 1993 .

[22]  A. Thompson Teachers' beliefs and conceptions: A synthesis of the research. , 1992 .

[23]  Richard S. Prawat,et al.  Teachers' Beliefs about Teaching and Learning: A Constructivist Perspective , 1992, American Journal of Education.

[24]  Susan E. Newman,et al.  Cognitive Apprenticeship: Teaching the Craft of Reading, Writing, and Mathematics. Technical Report No. 403. , 1987 .

[25]  G. Leinhardt Getting to Know: Tracing Students' Mathematical Knowledge From Intuition to Competence , 1988 .

[26]  James P. Spillane State Policy and the Non-Monolithic Nature of the Local School District: Organizational and Professional Considerations , 1998 .

[27]  B. Glaser Theoretical Sensitivity: Advances in the Methodology of Grounded Theory , 1978 .

[28]  James P. Spillane,et al.  Aligned Instructional Policy and Ambitious Pedagogy: Exploring Instructional Reform from the Classroom Perspective , 1997, Teachers College Record: The Voice of Scholarship in Education.

[29]  Lauren B. Resnick,et al.  Shared cognition: Thinking as social practice , 1991, Perspectives on socially shared cognition.

[30]  Douglas A. Grouws,et al.  Handbook of research on mathematics teaching and learning , 1992 .

[31]  Ross A. Honsberger Ingenuity in Mathematics: Odd and Even Numbers , 1970 .

[32]  Roger C. Schank,et al.  SCRIPTS, PLANS, GOALS, AND UNDERSTANDING , 1988 .

[33]  Penelope L. Peterson,et al.  Teachers' and Students' Cognitional Knowledge for Classroom Teaching and Learning , 1988 .

[34]  C. Hirsch Curriculum and Evaluation Standards for School Mathematics , 1988 .

[35]  D. Schoen The Reflective Practitioner , 1983 .

[36]  R. Stake The art of case study research , 1995 .

[37]  S. Stodolsky The Subject Matters: Classroom Activity in Math and Social Studies , 1988 .

[38]  The International Commission on Mathematical Instruction , 1995 .

[39]  R. Glaser Education and Thinking: The Role of Knowledge. , 1984 .

[40]  M. Riley,et al.  Conceptual competence and children's counting , 1984, Cognitive Psychology.

[41]  James P. Spillane A Cognitive Perspective on the Role of the Local Educational Agency in Implementing Instructional Policy: Accounting for Local Variability , 1998 .

[42]  C. Glickman Supervision in Transition: 1992 Yearbook of the Association for Supervision and Curriculum Development. , 1992 .

[43]  Lucy Suchman Plans and situated actions: the problem of human-machine communication , 1987 .

[44]  Paul Berman,et al.  Federal Programs Supporting Educational Change, Vol. VII: Factors Affecting Implementation and Continuation. , 1977 .

[45]  W. Firestone Using Reform: Conceptualizing District Initiative , 1989 .

[46]  B. Nelson Building New Knowledge by Thinking: How Administrators Can Learn What They Need To Know about Mathematics Education Reform. , 1999 .

[47]  Ann L. Brown,et al.  Reciprocal Teaching of Comprehension-Fostering and Comprehension-Monitoring Activities , 1984 .

[48]  Marcia K. Johnson,et al.  Contextual prerequisites for understanding: Some investigations of comprehension and recall , 1972 .

[49]  T. P. Carpenter,et al.  Problem Solving as a Basis for Reform in Curriculum and Instruction: The Case of Mathematics , 1996 .

[50]  Frances J. Milliken,et al.  Executives’ Perceptual Filters: What They Notice and How They Make Sense , 1988 .

[51]  M. Franke,et al.  Teachers' knowledge and its impact. , 1992 .

[52]  Jean-Louis Derquet,et al.  Goodlad (John I.) - A Place called school : prospects for the future , 1984 .

[53]  S. Ian Robertson,et al.  Problem-solving , 2001, Human Thinking.

[54]  Stephanie D. Teasley,et al.  Perspectives on socially shared cognition , 1991 .

[55]  Janet L. Kolodner,et al.  Case-Based Reasoning , 1989, IJCAI 1989.

[56]  Herbert J. Walberg,et al.  Knowing, Learning, and Instruction: Essays in Honor of Robert Glaser. , 1991 .

[57]  F. Oser,et al.  Effective and Responsible Teaching: The New Synthesis. , 1992 .

[58]  K. Weick FROM SENSEMAKING IN ORGANIZATIONS , 2021, The New Economic Sociology.

[59]  James P. Spillane,et al.  The state policy system affecting science and mathematics education in Michigan , 1994 .

[60]  Dedre Gentner,et al.  ANALOGICAL REMINDING: A GOOD MATCH IS HARD TO FIND. , 1985 .

[61]  James P. Spillane External reform initiatives and teachers' efforts to reconstruct their practice: The mediating role of teachers' zones of enactment , 1999 .

[62]  A. Su,et al.  The National Council of Teachers of Mathematics , 1932, The Mathematical Gazette.

[63]  Larry Cuban Reforming Again, Again, and Again , 1990 .

[64]  M. Mclaughlin Learning From Experience: Lessons From Policy Implementation , 1987 .

[65]  Ann L. Brown,et al.  Communities of Learning and Thinking, or A Context by Any Other Name , 1990 .

[66]  A. Strauss,et al.  The discovery of grounded theory: strategies for qualitative research aldine de gruyter , 1968 .

[67]  J. Confrey A Review of the Research on Student Conceptions in Mathematics, Science, and Programming , 1990 .