Background: This study proposes a learning cycle and a comprehensive research framework that integrates Bloom's taxonomy: the cognitive domain (cognitive load), affective domain (attitude and motivation) and psychomotor domain (implementation of science, technology, engineering, arts, and math [STEAM] activities) to explore the relationship between these learning domains and learning intention. The proposed innovative mediated-moderation model includes second-order factors derived from the technology acceptance model (TAM) (perceived usefulness, perceived ease of use, and perceived enjoyment), the attention, relevance, confidence and satisfaction (ARCS) model, and cognitive load (mental load and mental effort) to explain the continuous learning intention of STEAM education. Results: A teaching material was designed for the STEAM activity, and an empirical experiment was subsequently conducted. The empirical experiment of STEAM activities with our design teaching material (micro:bit with artificial intelligence-based concept) was conducted at a university and an elementary school; a total of 145 questionnaire survey data were collected after the activities. University student participants were 20-24 years old and the elementary school student participants were at the K5-K6 level. The results showed that perceived usability directly influenced learning intention and strengthened the relationship between learning attitudes and intention. The ARCS plays a critical moderating role that positively influenced perceived usability and strengthened its effects on learning attitudes. Regarding the mediating effects, cognitive load negatively influenced perceived usability. Conclusions: The findings of this study revealed that critical factors affect students' learning attitudes and intentions regarding STEAM education. The theoretical and educational implications of these findings were proposed to future instructors.