Prospective teachers’ attention on geometrical tasks
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This study investigates early childhood prospective teachers’ attention to geometrical tasks while designing and using them in the classroom. This is explored in the context of the teaching practice of 11 prospective teachers who taught geometry in early childhood classrooms during the last semester of their university studies. The teaching practice was organized into four stages: design of a lesson plan; classroom implementation; discussion of the lesson with the school practice instructor; and self-assessment report and revision of the lesson. Analysis of data using the Teaching Triad framework (Jaworski, 1994) shows that although the prospective teachers attended to issues of mathematical challenge, sensitivity to students, and management of learning in their planning, in their actual teaching and after class reflection, their attention was focused mainly on management issues. The findings also show that prospective teachers’ attention on geometrical tasks can be developed through a process of reflection on their teaching.
KeywordsEarly childhood prospective teachers Mathematics teaching Mathematical tasks Geometry Reflection Teaching triad
- AAMT & ECA (Australian Association of Mathematics Teachers and Early Childhood Australia). (2006). Position paper on early childhood mathematics. Retrieved 28 May 2012 from http://www.aamt.edu.au/Publications-and-statements/Position-statements.
- Ball, D. L., & Bass, H. (2000). Interweaving content and pedagogy in teaching and learning to teach: Knowing and using mathematics. In J. Boaler (Ed.), Multiple perspectives on the teaching and learning of mathematics (pp. 83–104). Westport: Ablex.Google Scholar
- Bowman, B. T., Donovan, M. S., & Burns, M. S. (Eds.). (2001). Eager to learn: Educating our preschoolers. Washington, DC: National Academy Press.Google Scholar
- Clements, D. H. (2004). Geometric and spatial thinking in early childhood education. In D. H. Clements & J. Sarama (Eds.), Engaging young children in mathematics: Standards for early childhood mathematics education (pp. 267–297). Mahwah, NJ: Lawrence Erlbaum.Google Scholar
- Clements, D. H., & Sarama, J. (2009). Learning and teaching early math: The learning trajectories approach. New York: Routledge.Google Scholar
- Creswell, J. W. (1998). Qualitative inquiry and research design: Choosing among five approaches. Thousand Oaks, CA: Sage.Google Scholar
- Denton, K., & West, J. (2002). Children’s reading and mathematics achievement in kindergarten and first grade (NCES 2002125). Washington, DC: National Center for Education Statistics.Google Scholar
- Doerr, H. M. (2006). Examining the tasks of teaching when using students’ mathematical thinking. Educational Studies, 62(1), 3–24.Google Scholar
- EYFS (Early Years Foundation Stage in England). (2012). Statutory framework for the early years foundation stage: Setting the standards for learning, development and care for children from birth to five. Retrieved 30 May 2012 from http://www.education.gov.uk/schools/guidanceandadvice/g00213120/eyfs-statutory-framework.
- Falcade, R., & Strozzi, P. (2009). Construction and representation of space in 5-year-old children. In O. A. Barbarin & B. H. Wasik (Eds.), Handbook of child development and early education: Research to practice (pp. 499–520). New York: Guilford.Google Scholar
- Ginsburg, H. P. (2009). Early mathematics education and how to do it. In O. A. Barbarin & B. H. Wasik (Eds.), Handbook of child development and early education: Research to practice (pp. 403–428). New York: Guilford.Google Scholar
- Ginsburg, H. P., Kaplan, R. G., Cannon, J., Cordero, M. I., Eisenband, J. G., Galanter, M., et al. (2006). Helping early childhood educators to teach mathematics. In M. Zaslow & I. Martinez-Beck (Eds.), Critical issues in early childhood professional development (pp. 171–202). Baltimore, MD: Paul H. Brookes.Google Scholar
- Hill, H. C., Ball, D. L., & Schilling, S. G. (2008). Unpacking pedagogical content knowledge: Conceptualizing and measuring teachers’ topic-specific knowledge of students. Journal for Research in Mathematics Education, 39(4), 372–400.Google Scholar
- Jaworski, B. (1994). Investigating mathematics teaching: A constructivist enquiry. London: Falmer.Google Scholar
- Mason, J. (2008). Being mathematical with and in front of learners: Attention, awareness, and attitude as sources of differences between teacher educators, teachers and learners. In B. Jaworski & T. Wood (Eds.), The international handbook of mathematics teacher education: The mathematics teacher educator as a developing professional (Vol. 4, pp. 31–56). Rotterdam: Sense Publishers.Google Scholar
- NAEYC (National Association for the Education of Young Children). (2002, updated 2010). Early childhood mathematics: Promoting good beginnings. Retrieved 4 September 2011 from http://www.naeyc.org/files/naeyc/file/positions/psmath.pdf.
- NCTM (National Council of Teachers of Mathematics). (2005). High qualified teachers: A position of the national council of teachers of mathematics. Retrieved 4 September 2011 from http://www.nctm.org/uploadedFiles/About_NCTM/Position_Statements/qualified.pdf.
- Sarama, J., & Clements, D. H. (2009). Early childhood mathematics education research: Learning trajectories for young children. New York: Routledge.Google Scholar
- Scherer, P., & Steinbring, H. (2007). Noticing children’s learning processes—Teachers jointly reflect on their own classroom interaction for improving mathematics teaching. Journal of Mathematics Teachers Education, 10(1), 157–185.Google Scholar
- Schoenfeld, A. H., & Kilpatrick, J. (2008). Toward a theory of proficiency in teaching mathematics. In D. Tirosh & T. Wood (Eds.), The international handbook of mathematics teacher education: Tools and processes in mathematics teacher education (Vol. 2, pp. 321–354). Rotterdam: Sense Publishers.Google Scholar
- Schön, D. A. (1987). Educating the reflective practitioner: Toward a new design for teaching and learning in the professions. San Francisco, CA: Jossey-Bass.Google Scholar
- Scott, D., & Usher, R. (1999). Researching education: Data, methods and theory in educational enquiry. London: Continuum.Google Scholar
- Tirosh, D., Tsamir, P., Levenson, E., & Tabach, M. (2011b). From preschool teachers’ professional development to children’s knowledge: Comparing sets. Journal of Mathematics Education, 14(2), 113–131.Google Scholar