In the realm of education, particularly mathematics and informatics, a significant shift is underway, moving away from the traditional “instruct and perform” model of the 19th century towards a more dynamic, interactive approach. This new model, championed by researchers Ian Benson and Alexei Semenov, is rooted in the action research tradition of learning-by-doing. It emphasizes self-awareness, structured problem-solving, and the use of formal diagrams, addressing the limitations of rote drill and practice.
The proposed learning model is inspired by the activities of professional mathematicians, focusing on mathematical modeling and program design. This approach underscores the importance of dialogue and active engagement with mathematical concepts. In the Language/Action approach, teachers create situations that scaffold problems for learners, whether they are previously encountered challenges or new ones. Teachers and interlocutors, often more senior students, supervise this process, ensuring that learners receive guidance and support.
A critical component of this model is the written-oral dialogue between the learner and the teacher. This one-to-one communication is facilitated by a more knowledgeable other, typically a senior student, who interacts with a small group of 5 to 7 pupils. This setup fosters a personalized learning experience, allowing for tailored feedback and support.
The researchers propose the metaphor of human intellect augmented by digital technologies, drawing on the work of Doug Engelbart. This metaphor suggests that every individual has both biological and digital components. The biological part of the learner engages in internal dialogue, reflecting on their work and understanding. The digital part, which includes interactive development environments or artificial intelligence, poses questions, interprets code, and proposes ideas, not all of which may be sound.
This innovative approach to education leverages technology to enhance the learning process, creating a synergy between human intellect and digital tools. By integrating AI and interactive environments, the model aims to create a more engaging, effective, and personalized educational experience. This could potentially revolutionize how we teach and learn mathematics and informatics, making the process more dynamic and aligned with the needs of the 21st century.
