Fascinating trends and predictions are afoot in the arena of public speaking coaching, laying the foundation for a future that promises to be as exciting as it is unpredictable. As we delve into the profound transformations expected in this domain, it becomes evident that these changes are largely intertwined with advancements in technology, shifts in societal norms, and evolving pedagogical approaches.

Public speaking coaches, also known as oratory trainers, are experts who specialize in honing an individual's communication skills, specifically focusing on enhancing their presentation abilities. They provide guidance and feedback, helping clients project confidence, deliver compelling messages, and engage audiences effectively.

The advent of technology has brought about significant changes in how public speaking coaches operate and the tools they use. For example, artificial intelligence (AI) is expected to play an increasingly important role in this field. AI has the potential to analyze speech patterns, monitor vocal projections, and provide real-time feedback on body language, thereby revolutionizing the field of public speaking coaching.

Machine learning algorithms can also customize coaching programs based on individual performance data, thereby offering a personalized training experience. However, the adoption of AI is not without its trade-offs. While technology can provide objective and immediate feedback, it may lack the nuanced human understanding that a professional coach can offer.

Another emerging trend is the rise of virtual reality (VR) in public speaking coaching. VR can create immersive environments, allowing individuals to practice their speeches in various scenarios such as a crowded auditorium, a corporate boardroom, or a one-on-one meeting. This technology aids in overcoming performance anxiety, a common challenge faced by speakers. However, the cost of VR equipment and possible technological glitches are hurdles that need to be addressed.

A shift in societal norms also influences the future of public speaking coaching. As more organizations embrace diversity and inclusion, coaches are expected to equip speakers with skills to communicate effectively across different cultures and demographics. This necessitates a deep understanding of cultural nuances, societal dynamics, and language variations. Coaches need to be adept at navigating these complexities, making cultural intelligence a critical skill for future coaches.

In terms of pedagogical approaches, experiential learning and peer-to-peer coaching are gaining momentum. Experiential learning emphasizes immersive experiences, encouraging speakers to learn through reflection on doing, while peer-to-peer coaching leverages the collective intelligence of a group. While both methods foster active learning and collaboration, they require a certain level of discipline and commitment to be effective.

An intriguing conjecture about the future of public speaking coaching relates to the growing influence of neuroscience. Understanding how the human brain processes information and reacts to stimuli can provide valuable insights into improving public speaking skills. Although this is speculative, the fusion of neuroscience and public speaking coaching may herald an era of 'neuro-coaching' in the future.

As we gaze into the crystal ball, the future of public speaking coaches appears to be a complex web of technology, evolving societal norms, and emerging pedagogical trends. While it is essential to adapt and evolve, the core tenets of empathy, individual attention, and customized feedback will remain the pillars of effective coaching. After all, technology can augment human capabilities, but it cannot replace the human touch.

The challenge and opportunity for future public speaking coaches lie in integrating these emerging trends with traditional coaching methods – creating a blend that is as compelling as the speeches they help craft. As we move forward, the most successful coaches will be those who can navigate this intricate landscape, ensuring their clients can confidently say, "Speak, for I am listening."