Book

How can calculus instruction move beyond procedural fluency to foster the deep conceptual understanding that students genuinely need? How can emerging technologies—Generative Artificial Intelligence and dynamic mathematics software—be integrated purposefully rather than adopted superficially? And what conditions must institutions create for such integration to succeed equitably and sustainably? This book addresses these questions through the development, validation, and empirical evaluation of the PjBL-GeoGAI model—an integrated instructional framework that brings together Project-Based Learning, Generative Artificial Intelligence, and GeoGebra within a centralized Google Sites environment. Drawing on the ADDIE instructional design framework, the authors document the model's development from conceptual rationale through expert validation (88.5% highly valid) to an eight-week classroom implementation, reporting substantial gains in conceptual understanding (N-Gain = 0.62) and documenting the conditions under which technology integration remains connected to intended learning outcomes. Beyond calculus, the book extends its inquiry to two complementary contexts. In fifth-grade science, it examines biomimicry-integrated E-STEM instruction, proposing an evidential framework that distinguishes instructional provision from documented connection and stronger coordination in reasoning—a framework that clarifies what claims about integration actually require. In vocational education, it presents an industry-integrated TPACK framework and reports the results of a ten-week intervention yielding exceptional gains across digital literacy dimensions (d = 1.47–1.82), while candidly examining the differential effects and demographic nuances that shape professional development outcomes. Written for mathematics educators, instructional designers, researchers, and graduate students, this book balances theoretical rigor with practical utility. Each chapter offers not only research findings but also design principles, implementation guidance, and assessment considerations that educators can adapt to their own contexts. It treats technology not as an end in itself but as a means.