This document outlines five guided exploratory approaches to teaching: 1) Inductive method, which starts with specific examples and moves to generalization, 2) Inquiry teaching, which poses problems and facilitates discussion, 3) Laboratory method involving hands-on experiences, 4) Problem solving using the scientific method, and 5) Project method requiring students to construct projects based on their research. Each approach is described in terms of key principles, steps involved, and effectiveness.