Summary The German Pupils Academy (Deutsche Schüler-Akademie) is a summer-school program for highly gifted secondary-school students. Three types of program evaluation were conducted. Input evaluation confirmed the participants as intellectually highly gifted students who are intrinsically motivated and interested to attend the courses offered at the summer school. Process evaluation focused on the courses attended by the participants as the most important component of the program. Accordingly, the instructional approaches meet the needs of highly gifted students for self-regulated and discovery oriented learning. The product or impact evaluation was based on a multivariate social-cognitive framework. The findings indicate that the program contributes to promoting motivational and cognitive prerequisites for transforming giftedness into excellent performances. To some extent, the positive effects on students' self-efficacy and self-regulatory strategies are due to qualities of the learning environments established by the courses.
Proof schemes combined: mapping secondary students’ multi-faceted and evolving first encounters with mathematical proof
