Examining the Relationship Between Beliefs and Goals in Teacher Practice

Abstract This article presents a detailed analysis of how teacher beliefs interact with goals and influence the moment-to-moment actions of teaching. The beliefs, goals and instructional practice of two secondary mathematics teachers were examined as each conducted an algebra lesson. We discuss how specific beliefs organized to influence the selection and prioritization of goals that then influenced the actions of each teacher. Fine-grained analysis of classroom video and teacher interviews revealed that particular collections of beliefs become apparent when there is a shift in the teacher's goals. Exploring the relationship between teacher beliefs and goals at this level of detail allows for the investigation of the mechanisms of the teaching process. Implications of this research for teacher education and professional development are also discussed.

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

[2]  Paul Cobb,et al.  Small-group interactions as a source of learning opportunities in second-grade mathematics. , 1991 .

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

[4]  Thomas F. Green The activities of teaching , 1971 .

[5]  R. Glaser Advances in Instructional Psychology , 1978 .

[6]  Paul Ernest,et al.  The Knowledge, Beliefs and Attitudes of the Mathematics Teacher: a model , 1989 .

[7]  D. Cohen A Revolution in One Classroom: The Case of Mrs. Oublier , 1990 .

[8]  Alan H. Schoenfeld,et al.  Toward a theory of teaching-in-context , 1998 .

[9]  A. Schoenfeld,et al.  The Detailed Analysis of an Established Teacher's Non-Traditional Lesson , 1999 .

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

[11]  A. Thompson The relationship of teachers' conceptions of mathematics and mathematics teaching to instructional practice , 1984 .

[12]  Exploring Diverse Accounts of Teacher Knowledge , 1999 .

[13]  J. Calderhead Teachers’ beliefs and knowledge , 2019, Problem Solving for Teaching and Learning.

[14]  Roger C. Schank,et al.  Scripts, plans, goals and understanding: an inquiry into human knowledge structures , 1978 .

[15]  Rachel Or-Bach,et al.  Toward a Comprehensive Model of Human Tutoring in Complex Subject Matter Domains. , 1992 .

[16]  M. Wittrock Handbook of research on teaching , 1986 .

[17]  Kurt VanLehn,et al.  Competitive Argumentation in Computational Theories of Cognition. , 1982 .

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

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

[20]  Stephen Lerman Alternative Perspectives of the Nature of Mathematics and their Influence on the Teaching of Mathematics , 1990 .

[21]  Leonard S. Cahen,et al.  Educational Testing Service , 1970 .

[22]  M. Pajares,et al.  Teachers’ Beliefs and Educational Research: Cleaning Up a Messy Construct , 1992 .

[23]  Edward A. Silver,et al.  Teaching and Learning Mathematical Problem Solving : Multiple Research Perspectives , 1985 .

[24]  Daniel Zimmerlin,et al.  The Detailed Analysis of a Beginning Teacher Carrying Out a Traditional Lesson , 1999 .

[25]  Geoffrey B. Saxe,et al.  Culture and cognitive development , 1990 .

[26]  Alan H. Schoenfeld,et al.  Models of the Teaching Process , 1999 .