Title:
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Pre-Service Primary Teachers' Mathematics Conceptions and Practices
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This study investigates the relationships between the teaching practices of a
cohort of year-four mathematics specialist pre-service teachers (n=48) at
Hafouf Teachers' College in Saudi Arabia and their mathematics conceptions.
These conceptions were compared to those of the whole cohort of year-three
Arabic, mathematics and science pre-service teachers (n = 130). The
mathematics conceptions of the two cohorts were surveyed at the beginning
of the college semester and the year-four mathematics pre-service teachers
were subsequently observed whilst on their teaching practice semester. In
addition, the year-four mathematics pre-service teachers were surveyed
toward the end of the teaching practice semester to investigate possible
changes in their conceptions after their teaching experiences.
The design of the study can be regarded as associational research that is not
only limited to correlational methods but also benefits from other approaches,
such as survey and qualitative methods to involve recording, analysis,
comparison, and interpretation of study settings. Data were collected using
three instruments: (1) a Likert-type questionnaire to measure conceptions of
mathematics and its teaching; (2) a lesson observation schedule to observe
teaching practices; and (3) mathematics subject knowledge grades as a
measure of mathematical ability.
Analysis of pre-service teachers' mathematics conceptions identified seven
factors: confidence and enjoyment, experiences of mathematics, connectionist
view, usefulness, transmission view, procedural view, and exploratory view.
Pre-service teachers' belief systems were not internally coherent but instead
comprised a mixture of traditional and reform beliefs about mathematics and
its teaching. Mathematics and science specialists showed more confidence
and enjoyment in mathematics than Arabic specialists, but also held views of
teaching mathematics that were more transmission-oriented. Prior to their
teaching practice experiences, the year-four mathematics pre-service
teachers revealed similar conceptions to their year-three counterparts..
However, their teaching practice experiences increased their level of
confidence and enjoyment in mathematics but also decreased their belief in
the exploratory view of teaching mathematics. No significant relationship was
established between the year-four pre-service teachers' espoused beliefs and
their enacted beliefs in terms of traditional and reform orientated practices in
the classroom. Regardless of their espoused beliefs, mostly the pre-service
teachers adopted traditional teaching practices. The research also indicated
that year-four mathematics pre-service teachers' subject knowledge grades
were not significantly related to the level of mathematics subject knowledge
they demonstrated when teaching in the classroom.
Based on the findings, several recommendations are made and possible
directions for further research are suggested.
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