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Let's assume we all agree that one example of an LMS is Moodle. Moodle is like a pencil. If I require my students to use a pencil in class, am I reverting back to the Stone Age? Does using a pencil in class automatically mean that I support traditional teaching/learning methodologies and techniques? It's my belief that a pencil can effectively and efficiently be used to in conjunction with (a) asynchronous and synchronous communication, (b) different delivery methods, both online and offline, and (c) different learning theories: behaviorism, cognitivism, social constructivism, socio-cultural theory, connectivism, etc.
There is no reason why YouTube, Google, or any other web tool cannot be implemented into a class that uses Moodle or any other "LMS". An "LMS" could just as easily be the entire Internet. The problem is not the "LMS", it's the type of communication, delivery, and learning theory being used.