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No I can't.I agree with your point. In curiosity, I put your question on a search engine, like many students do, in the "modern way to solve problems", and was amazed to see it come up on a page. I don't have your maths expertise, but do have Ad Dip in Ed (maths), at primary level I taught maths to a deep level of understanding for KS2. Pre NC, about 100% of my Y4 knew their tables by Easter, and applied this confidently to the work in hand. Not many years ago, few Y6 I've taught on supply had that same knowledge of tables, (but the last few years corrections have been made to expectations). I very much remember, summer term, after doing multiplication, the class did a school assembly on the subject, and individuals in the low ability group challenged the audience to produce two numbers between 11 and 19, then promptly without written aid, multiplied these mentally. The top group created maybe 20+ ways to solve a multiplication of TU x TU eg 21 x 25. To this day, I think most Y6 would be hard pressed to do that in class let alone live in front of a whole audience.
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