This educational case study looked at student engagement and motivation in a collaborative environment, one that provided students the freedom to be critical thinkers and problem solvers. In order to create this collaborative environment, students in a third-grade elementary classroom participated in a Project-Based Learning unit. The unit culminated in hands-on projects. Sociocultural theory and Self Determination theory were used to guide the development of the innovation and the formulation of the research design. The qualitative data collection tools that were used in this study consisted of observations through video and audio recordings, researcher's field notes, student interviews, and artifacts. The artifacts gathered consisted of student journal entries reflecting on their experiences within the innovation and their learning process throughout. Data were collected, transcribed, and analyzed using multiple rounds of both deductive and inductive coding. This research suggests that a Project-Based Learning environment positively impacts student participation both within a single lesson and throughout the unit by increasing students’ background and competence. Additionally, within a Project-Based Learning environment, students co-construct new meaning through goal-oriented group work designed by the teacher. The teacher also supports student thinking through clarifying and questioning statements designed to support students’ learning and development of ideas. Finally, this educational case study suggests that students demonstrate an increase in intrinsic motivation over time as demonstrated by an eagerness to apply their new learning beyond the Project-Based Learning lessons. Students applied the learning within their classroom, school, and even their homes.

The State of Arizona mandates that students with superior intellect or abilities, or identified gifted students, receive appropriate gifted education and services in order to achieve at levels commensurate with their intellect and abilities. Additionally, the State of Arizona adopted the Arizona College and Career Ready Standards (AZCCRS) initiative. This investigation explores if, according to the perceptions of gifted educators, the AZCCRS support a gifted mathematic curriculum and pedagogy at the elementary level which is commensurate with academic abilities, potential, and intellect of these mathematically gifted students, what the relationships are between exemplary gifted curriculum and pedagogy and the AZCCRS, and exactly how the gifted education specialists charged with meeting the academic and intellectual needs and potential of their gifted students interpret, negotiate, and implement the AZCCRS.

This study utilized a qualitative approach and a variety of instruments to gather data, including: profile questionnaires, semi-structured pre-interviews, reflective journals, three group discussion sessions, and semi-structured post interviews. The pre- and post interviews as well as the group discussion sessions were audiotape recorded and transcribed. A three stage coding process was utilized on the questionnaires, interviews, discussion sessions, and journal entries.

The results and findings demonstrated that AZCCRS clearly support exemplary gifted mathematic curriculum and practices at the elementary level, that there are at least nine distinct relationships between the AZCCRS and gifted pedagogy, and that the gifted education specialists interpret, negotiate, and implement the AZCCRS uniquely in at least four distinct ways, in their mathematically gifted pullout classes.