// Generate a new exercise variant generateVariant: function(templateId) const tmpl = this.getTemplate(templateId); const vars = n: this.randInt(3,10), k: this.randInt(1,5) ; const newStmt = this.renderTemplate(tmpl, vars); this.showModal(newStmt); ; Interactive Concept‑Driven Companion (ICDC) turns a traditional textbook PDF into a living laboratory for discrete mathematics. By blending proof‑checking, live LaTeX editing, manipulable diagrams, and adaptive exercises, the feature not only deepens understanding but also aligns perfectly with modern active‑learning pedagogies.
It can be built into a dedicated e‑textbook reader, a browser plug‑in, or even a “smart‑PDF” wrapper that works with any PDF viewer that supports JavaScript or external plug‑ins. Interactive Concept‑Driven Companion (ICDC) “Read, explore, and verify the mathematics without ever leaving the PDF.” 🎯 Goal Empower students, instructors, and self‑learners to interact with the material in real time: discrete mathematical structures by tremblay and manohar pdf
If you decide to move forward, the next step is to prototype the module (the smallest, most self‑contained piece) and test it on a single theorem page. Success there will prove the viability of the entire ICDC ecosystem. Happy building! Interactive Concept‑Driven Companion (ICDC) “Read