This book takes the principles explained in Vol.1 and describes a complete classroom practice for conducting philosophical conversations with groups (especially in schools) that has been honed over nearly twenty years of classroom experience by the author and his colleagues at The Philosophy Foundation. Although the method (known here as philosophical enquiry or 'PhiE' for short) has been previously described in many earlier publications, this is by far the most thorough and comprehensive account of the method to date in one place. It includes, not only a thorough explanation of the central ideas of the method complete with current updates, but many extensions to the PhiE method including writing extensions, but most importantly, the extended thinking programme. This is an extension to the PhiE method that implements metacognitive and critical thinking strategies for the participants that has been shaped by two years of reflective research conducted by The Philosophy Foundation and King's College London.