MATHEMATICS: TRADITIONS AND [NEW] PRACTICES • © AAMT & MERGA 2011
IMPROVING SELF-CONFIDENCE AND ABILITIES:
A PROBLEM-BASED LEARNING APPROACH
FOR BEGINNING MATHEMATICS TEACHERS
MARTIN SCHMUDE
University of New England
martin.schmude@une.edu.au
PENELOPE SEROW
University of New England
pserow2@une.edu.au
STEPHEN TOBIAS
University of New England
stobias@une.edu.au
This paper draws from a pilot study about a teacher education program that focused on
building preservice primary teachers’ confidence and abilities in teaching and learning
mathematics. The cohort involved on-campus [n=82] and off-campus [n=420] participants.
The qualitative study was based on developing three aspects of mathematics teacher
education: (1) Content knowledge; (2) Pedagogical knowledge; and (3) Knowledge of the
learner. A problem-based learning environment was created to build students’ self-efficacy
and to encourage the beginning teachers’ willingness to engage in the unit content by
providing authentic teaching contexts, and to develop a richer conceptual and procedural
understanding of mathematics.
Introduction
For many preservice primary teachers, learning to teach mathematics can be a
challenging and, at times, a fearful undertaking. Many researchers (Black, 2007;
Jorgensen, Grootenboer, & Sullivan, 2010) have discussed the nature of preservice
mathematics education, and in particular, how a social constructivist approach can
enhance a productive disposition and willingness to engage in learning mathematics.
Student-centred learning offers a pedagogical approach for mathematics education in
the 21st century where the educational paradigm shifts from traditional, teacher and
textbook-centred approaches, to situations where the learner is personally challenged
and engaged in a social construction of knowledge.
This paper describes an ongoing project that seeks to investigate a productive
learning environment for first-year preservice primary teachers taking an initial
mathematics education unit of study. During the first stage of the project, the focus was
on the plausibility of a problem-based learning (PBL) approach for enhancing
productive dispositions with preservice teachers to teaching and learning mathematics.
Background
Many preservice primary teachers have demonstrated negative feelings and attitudes to
learning mathematics (Cady & Rearden, 2007). In addition to poor attitudes,
mathematics educators are often faced with teaching students with low mathematical
content knowledge and a history of mathematical experiences that are predominantly
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