Teachers' personal agency: Making sense of slope through additive structures

被引:0
作者
Walter J.G. [1 ]
Gerson H. [1 ]
机构
[1] Brigham Young University, TMCB 260, Provo
关键词
Agency; Choice; Collaborative learning; Elementary school teachers; Grounded theory; Performance; Professional development; Rate of change; Representation; Rise-over-run; Slope;
D O I
10.1007/s10649-006-9048-y
中图分类号
学科分类号
摘要
In the context of a three-year professional development program in mathematics, practicing elementary teachers persistently engaged in collaborative inquiry and reflection to build connected meanings for slope. One teacher invented a compelling representation for slope as a process of repeated addition, using Cuisenaire rods, based on teachers' shared experiences developing recursively defined linear equations. The presence of and tension between different representations of slope, brought forth by the teachers, catalyzed productive cycles of choice and inquiry for the entire class. Personal agency, purposeful choice, and performance provide a valuable lens for fine-grained analysis of mathematical learning. © Springer Science+Business Media, Inc. 2007.
引用
收藏
页码:203 / 233
页数:30
相关论文
共 47 条
  • [1] Bandura A., Social Foundations of Thought and Action, (1986)
  • [2] Bandura A., Human agency in social cognitive theory, American Psychologist, 44, 9, pp. 1175-1184, (1989)
  • [3] Bandura A., Self-efficacy: The Exercise of Control, (1997)
  • [4] Bishop J., Linear geometric number patterns: Middle school students' strategies, Mathematics Education Research Journal, 12, 2, pp. 107-126, (2000)
  • [5] Boaler J., Participation, knowledge and beliefs: A community perspective on mathematics learning, Educational Studies in Mathematics, 40, pp. 259-281, (1999)
  • [6] Brown T., Shifting psychological perspectives on the learning and teaching of mathematics, For the Learning of Mathematics, 25, 1, pp. 39-45, (2005)
  • [7] Cobb P., McClain K., An approach for supporting teachers' learning in social context, Making Sense of Mathematics Teacher Education, pp. 207-231, (2001)
  • [8] Cobb P., Yackel E., Wood T., Curriculum and teacher development: Psychological and anthropological perspectives, Integrating Research on Teaching and Learning Mathematics, pp. 83-119, (1991)
  • [9] Cobb P., Yackel E., A constructivist perspective on the culture of the mathematics classroom, The Culture of the Mathematics Classroom, pp. 158-190, (1998)
  • [10] Dewey J., Democracy and Education, (1916)