The review concentrates on several important aspects of observational studies of δ Scuti stars. After a discussion of promising astrophysical questions we examine • the extreme amplitude variability of the evolved star 4 CVn • the role of rotation in determining the amplitudes of radial and nonradial modes • the lack of constancy at the millimag level of the comparison stars: we propose that up to four photometric comparison stars are used • the very high accuracy to which frequency values can be determined • the problem with the sufficient frequency resolution required for the detection of close frequencies.δ Scuti stars as astrophysical tools The δ Scuti variables are stars of spectral type A and F in the main-sequence or immediate post-main-sequence stage of evolution. They are situated in the classical instability strip with the instability caused mainly by the Heii ionization zone. In general, the period range is limited to between 0.02 d and 0.25 d. Longer periods (gravity modes) may also be present. The stars generally pulsate with a large number of simultaneously excited radial and nonradial modes. This makes them well-suited for asteroseismological studies. The photometric amplitudes of the dominant modes in the typical δ Scuti star are only a few millimag. It is now possible to detect a large number of simultaneously excited modes with sub-millimag amplitudes in stars other than the Sun using ground-based telescopes as well as satellites. An extensive review of δ Scuti stars is available (Breger 2000) and here we concentrate on a few topics of interest.At present, the best observed star is FG Vir, for which more than 2000 hours of highprecision photometry have revealed 75+ frequencies of pulsation . As in most well-studied δ Scuti stars, the excited modes are both radial and nonradial. The combination of spectroscopic and photometric techniques as well as pulsation modelling has made it possible to identify the nature of the major pulsation modes (Daszyńska-Daszkiewicz et al. 2005). Probably the main aspect of the present asteroseismological research on the δ Scuti stars is concerned with concentrating on the observed pulsation frequencies of a few chosen pulsators in order to improve the models of stellar structure, evolution, convection and pulsation to agree with more and more detailed observations.Modes ranging from = 0 to very high values (12+) are excited in these stars, but the mode selection mechanism is not clear. The observational problem is the following: since the number of detected modes increases dramatically as the observational threshold decreases (see FG Vir or some of the MOST results), what causes a star to select some low-degree modes to have photometric amplitudes of several hundredths of a magnitude instead of a 0.0001 mag or less? How can we determine that a particular mode is not excited, rather than present with an undetectable amplitude? For mode selection, stellar rotation (see below) is important, but can only be one of many factors.δ Scuti pulsation also occurs amon...