id: 06166162
dt: j
an: 2013d.00640
au: Sajka, Mirosława
ti: Mathematical problems designed with the use of functional equations as
theoretical tools for examining subject matter knowledge of functions.
so: Ann. Pol. Math. Soc., Ser. V, Didact. Math. 31, 97-116 (2008).
py: 2008
pu: Polish Mathematical Society (Polskie Towarzystwo Matematyczne - PTM),
Warsaw
la: EN
cc: I79 B50 C49
ut: subject matter knowledge; functional equations; teacher education;
functions; representation; diagnostic tools
ci:
li:
ab: From the introduction: Assessing the mathematics teachers’ subject matter
knowledge (SMK) is a currently important problem of research.
Mathematics teachers should have profound and thorough SMK, understood
as skills and knowledge of mathematics, its methods and history, which
are indispensable for teaching. There is a need to find appropriate
tools for continuous assessment of that competence of mathematics
teachers. However, literature review reveals that functional equations
have not been used yet as diagnostic tools. The author claims that
specially designed tasks related to functional equations can very
effectively reveal teachers’ SMK of functions. As such, this
dissertation is a new contribution to the research on possibilities of
using the mathematical discipline of functional equations in the field
of didactics of mathematics.
rv: