This challenge is first given in the following verses: "Or do they say , ‘He fabricated the Message'? Nay, they have no faith! Let them then produce a recital like unto it -If it be they speak the Truth"
I have tried numerous methods throughout my years of memorizing. Sometimes I would stop memorizing for months at a time and only focus on review (although this always failed when I didn't have a teacher who could help me stay on track because I ended up wasting precious months without review or memorization).
Many are promoting antagonism against the religion of Islam, often by misquoting and misunderstanding the Quran, at a time of greater understanding for world peace. Dr. Jamal Badawi, in a speech in Ottawa, Canada on January 12 2002 dispels the commonly misunderstood Quranic passages.