Transfer of learning is a fundamental goal of education but is challenging to achieve, especially where far transfer to remote contexts is at stake. How can we improve learners' flexible application of knowledge to distant domains? In a counterintuitive phenomenon termed the "derring effect," deliberately committing and correcting errors…

This qualitative case study aimed to investigate prospective middle school mathematics teachers' instructional responses based on the students' correct and incorrect functional thinking within the context of pattern generalization. The data were collected from thirty-two prospective teachers through a written task and semi-structured interviews…

Feedback on student answers and even during intermediate steps in their solutions to open-ended questions is an important element in math education. Such feedback can help students correct their errors and ultimately lead to improved learning outcomes. Most existing approaches for automated student solution analysis and feedback require manually…

Four 5-year-old children with receptive language within normal limits and who required augmentative and alternative communication (AAC) received instruction in producing six different semantic--syntactic structures (three treatment and three generalization targets). Participants accessed single-meaning graphic symbols using an AAC app on an iPad…

Programming is an essential skill that many computing students are expected to master. However, programming can be difficult to learn. Successfully interpreting compiler error messages (CEMs) is crucial for correcting errors and progressing toward success in programming. Yet these messages are often difficult to understand and pose a barrier to…