The specific heat of (Na,Ca)Co_{2}O_{4} is measured at low-temperatures to determine the magnitude of the electronic specific-heat coefficient gamma, in an attempt to gain an insight into the origin of the unusually large thermoelectric power of this compound. It is found that gamma is as large as 48 mJ/molK^2, which is an order of magnitude larger than gamma of simple metals. This indicates that (Na,Ca)Co_{2}O_{4} is a strongly-correlated electron system, where the strong correlation probably comes from the low-dimensionality and the frustrated spin structure. We discuss how the large thermopower and its dependence on Ca doping can be understood with the strong electron correlations.
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