To quickly remember mathematical fractions, mnemonic devices are highly effective. These devices use association, visualization, and repetition to make abstract concepts more concrete and memorable. One popular mnemonic is the "top-heavy" method, where you remember the numerator as the "top" and the denominator as the "bottom." For example, the fraction 1/4 can be remembered as "one on top, four on the bottom." Another technique is to use acronyms or phrases that relate to the fraction, such as "half-pint" for 1/2 or "one-third" for 1/3. These methods leverage the brain's ability to remember patterns and stories, making it easier to recall fractions quickly.

Research supports the effectiveness of mnemonic devices in memory retention. A study published in the "Journal of Educational Psychology" found that students who used mnemonic strategies to learn fractions showed significant improvements in their understanding and retention of the material compared to those who did not use mnemonic techniques. Additionally, a meta-analysis published in "Educational Psychology Review" concluded that mnemonic strategies are one of the most effective methods for enhancing memory and learning, particularly in the context of mathematics education. These findings underscore the importance of mnemonic devices in facilitating the quick recall of mathematical fractions.