Design-based knowledge building practices in mathematics teaching

This study investigates the impact of engaging teacher-education students in sustained design and knowledge building practices in mathematics teaching on their views of mathematics and mathematics teaching. Participants were nine teacher-education students who took a university course titled "Middle School Mathematics Teaching." Data primarily came from student discourse recorded in a Knowledge Forum database, peer evaluation and video analysis on student teaching practices, and an open-ended mathematics belief survey. Preliminary results suggest that teacher-education students became progressively more adaptive in their teaching practice. More importantly, their views of mathematics became more constructivist-oriented, and in the meantime, their views of mathematics teaching also became more student-centered.

[1]  K. Kitchener,et al.  Developing Reflective Judgment: Understanding and Promoting Intellectual Growth and Critical Thinking in Adolescents and Adults. Jossey-Bass Higher and Adult Education Series and Jossey-Bass Social and Behavioral Science Series. , 2009 .

[2]  Katherine Samuelowicz,et al.  Revisiting academics' beliefs about teaching and learning , 2001 .

[3]  Suzanne M. Wilson.  The Secret Garden of Teacher Education. , 1990 .

[4]  Huang-Yao Hong,et al.  Towards design-based knowledge-building practices in teaching , 2009, CSCL.

[5]  Noel Entwistle,et al.  Conceptions and Beliefs About “Good Teaching”: An integration of contrasting research areas , 2000 .

[6]  A. Strauss,et al.  Basics of qualitative research: Grounded theory procedures and techniques. , 1992 .

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

[8]  Z. Fang.  A review of research on teacher beliefs and practices , 1996 .

[9]  Paul Ernest,et al.  The Philosophy of Mathematics Education , 2003 .

[10]  Marcia B. Baxter Magolda.  Evolution of a Constructivist Conceptualization of Epistemological Reflection , 2004 .

[11]  L. Lipponen,et al.  Patterns of participation and discourse in elementary students’ computer-supported collaborative learning , 2003 .

[12]  T. Teo,et al.  Singaporean and Taiwanese Pre-service Teachers’ Beliefs and their Attitude Towards ICT Use: A Comparative Study , 2009 .

[13]  R. Sawyer,et al.  Creative Teaching: Collaborative Discussion as Disciplined Improvisation , 2004 .

[14]  Huang-Yao Hong,et al.  Principle-based design to foster adaptive use of technology for building community knowledge , 2008, ICLS.

[15]  Huang-Yao Hong,et al.  Teacher-Education Students' Epistemological Belief Change through Collaborative Knowledge Building , 2010 .

[16]  Boris Handal,et al.  Teachers' Mathematical Beliefs: A Review , 2003 .

[17]  Marlene Schommer,et al.  Synthesizing epistemological belief research: Tentative understandings and provocative confusions , 1994 .

[18]  J. Nespor.  The Role of Beliefs in the Practice of Teaching. , 1987 .

[19]  Allan Collins,et al.  Design Issues for Learning Environments. , 1993 .

[20]  M. Scardamalia.  Collective cognitive responsibility for the advancement of knowledge , 2002 .

[21]  Carol V. Lloyd,et al.  The Relationship Between Teachers’ Beliefs and Practices in Reading Comprehension Instruction , 1991 .

[22]  V. Walle,et al.  Elementary and Middle School Mathematics: Teaching Developmentally. Third Edition. , 1998 .