Maths

Usk Cards can play their tiny part in this enormous subject. They help to secure the foundations. There was never a plan to use them beyond primary – if that far. We have designed other card sets for those middle years, when Usk Cards are put back in the drawer for the grandchildren.

The 'tiny part' can be split into smaller topics: they are listed elsewhere.

This page expands on two ofthe foundation blocks: digits and rote learning.

Digits

As a reminder: the digits are the ten numbers 0,1,2,3,4,5,6,7,8,9: no more, no less. (There are often misconceptions, which are rectified on our related site.)

Familiarity with all aspects of the digits is an essential requirement in the early years. Formal 'lessons' at 'school' will dictate the speed of progress. The child's 'personal-carer' must ensure nothing is misunderstood or forgotten.

This will take a few minutes, or more, of dedicated, careful, daily dialogue: as formal and yet as light-hearted as is possible in the home. Kindly insert your own synoyms: lessons=play, school=kindergarten, personal-carer=mum,dad and so on. I am also liable, in places, to revert to the old fashioned usage of the male pronoun for both sexes.

Rote Learning

Just as familiarity with digits as numbers, words, patterns, must be learned by heart so it is desirable to begin to program 'snippets' into the brain. "I have two fish-fingers: you have two fish-fingers: we need four fish-fingers" can, with gentle, similar repetitions, lodge the fact (2+2=4) somewhere in the developing neocortex—particularly in parietal circuits that support early numerical understanding—where repeated exposure gradually stabilises the pattern rather than storing it as a single isolated 'fact file'. I gratefully acknowledge Chat GPT for completing that sentence for me (on my request).

Combining the above two

Adult conversation may easily assume understanding by the listener. Infants are a long way from coping, especially in written form, with space-value: the technical term for two-digit numbers (ie greater than any digit, or ten-and-over, >9).

It makes sense, since you are pacing home-work with school-studies, to avoid too much emphasis on two digit numbers. Your child will be familiar with "dozens of dandelions", "hundreds of tadpoles", but the process of the digit "2" (as in twodozen, 24) representing something other than "two units" needs to be thoroughly understood. It represents a huge addition to all future work done in maths by each of digits.

I am not suggesting that mention of the 'teens' and 'twenties' be banned: let them crop up as maybe. Take every opportunity to stick to simple maths: all with single digits. 2+3=? is one pattern – worth knowing off by heart. 5+7=?? leads to a doubly-different, triply-difficult, world. There are other sets of BusyCards that go beyond nine.

Some people pass time with jigsaw puzzles, or read books. I have just spent a happy few minutes working-out how many single digits 'sums' there are. I could share the answer with you, but it's not a relevant or even interesting fact.