In "Multiplication Algorithms," former fourth-grade teacher Fred Duckworth presents an innovative approach to mastering multiplication facts. Drawing from his extensive classroom experience, Duckworth reveals previously unrecognized numerical patterns that empower students with the ability to learn all the tables at grade level by making each fact self-evident. Just as it is universally acknowledged that the product of any number times zero is zero, the product of any number times one is itself, and the product of any number times ten can be furnished simply by appending a zero, Duckworth shows that there exist hidden patterns within all the other multiplication tables that offer this same level of clarity and ease. These novel patterns have the potential to totally transform the way students learn multiplication facts by instantaneously unveiling all the products within any given table . ​For the first time ever, this groundbreaking book equips students with the ability to automatically "decode" entire multiplication tables in one fell swoop, effectively eliminating the need for rote memorization or the drudgery of learning multiplication facts one at a time.​ By harnessing these strategies, learners can achieve a solid mastery of the multiplication facts that establishes a strong foundation for future math success.