By counting on the tap points of the numerals as shown in , the major resource for this key, students learn how to figure out all 390 number facts.
• By counting forward to 18, they can figure out all 100 addition facts (MMP, pages )
• By counting backward from 18, they can figure out all 100 subtraction facts (MMP, page )
• By counting to 20 by2s (2-4-6- ... -20), 30 by 3s (3-6-9- ... -30), 40 by 4s (4-8-12- ... -40), ... , and 90 by 9s (9-18-27- ... 90), they can figure out both all 100 multiplication facts (MMP, pages ) and all 90 division facts (MMP, pages )
Thus the task of teaching the number facts is hugely reduced to teaching only the Tap & Tally™ numerals and the above counting skills. To teach the skip counting indicated, we recommend teaching the skip counting songs for the 2s through 10s on the CD by . Alternatively, make up your own songs.
Click for answers to frequently asked questions about Tap & Tally™.
The Number Facts Barrier Tumbles Down
Using Tap & Tally™ as a back-up to drill and practice and mental math, ALL KIDS CAN LEARN ARITHMETIC hugely accelerates learning the number facts. It teaches all 100 addition facts, all 100 subtraction facts, and the multiplication and division facts for 2, 5, and 10 in kindergarten, the multiplication and division facts for 3 and 4 in grade 1, and those for 6, 7, 8, and 9 in grade 2. (Although the multiplication and division facts for 10 are not basic facts, they are included because most children find them easy to learn and they come up often in working with time, money, and the metric system.) Spreading out the teaching of the multiplication facts and division facts over kindergarten through grade 2 removes the barrier the times table presents for many kids when they are in grade 4 and must seemingly know it all at once.
If a student knows a number fact, they are to write it down. If not or not sure, they are to abide by the no-guessing rule in ALL KIDS CAN LEARN ARITHMETIC.
Thus elementary school children naturally meet the automaticity standard for many of the math facts through perfect practice—the correct response every time for every fact—without being held back by the ones they do not remember but can figure out (and maybe eventually remember).