Much more is known about gifted children than it was the case in previous years. Still, there are many unknowns. Recognizing, understanding and guiding gifted children and choosing certain approaches enable the child to realize his or her potential and reduce the difficulties he or she encounters. For the purposes of this paper, a research was conducted whose purpose was to examine whether classroom and subject teachers and the expert team notice certain characteristics that could indicate giftedness in a student. Class and subject teachers and members of the expert team (pedagogue, psychologist, speech therapist, special educator) from five primary schools in Zadar area participated in the research. A survey originally created for the purposes of this paper was used as a research instrument. The results showed that of the three groups of respondents, the first group to which primary school teachers belong is the most successful. The differences between the first and second groups were slight, but still exist. Classroom teachers are more student-oriented than those of subject teachers and have proven to be more successful in noticing certain characteristics. Research has shown that they notice better the availability of a large vocabulary or a distinct sense of humor. In contrast, the third group represented by the members of the expert team showed certain differences in relation to the first and second group of respondents. Teachers work directly with a larger number of students and spend more time with them, which gives them a certain advantage in recognizing certain characteristics over the expert team. In addition to all of the above, it is important to note that the results showed that programs, processes and methods of working with gifted students are implemented often, but not always. Timely recognition of the characteristics of giftedness and its detection and identification would enable parents and teachers to design and implement a plan and program that is responsive to the educational needs of gifted children.