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Showing posts from October, 2024

10.16-Thoughts on the dishes puzzle

Wow! Actually, I saw this question in my homework when I was a child, but I forgot how I was doing it. I think we should find the common multiple at first, since we don't want to let the dishes be cut.  " every 2 used a dish of rice, every 3 used a dish of broth, and every 4 used a dish of meat between them", so the common multiple of 2,3 and 4 should be 12. We can let every 12 people form a group, then in one group, there are 6 dishes of rice, 4 dishes of broth, and 3 dishes for meat, In total, there are 13 dishes in a group. There are 65 dishes together, every 13 dishes for 12 people, so 65 ÷ 13=5, 5 × 12=60 ,  so there were 60 people. • Does it makes a difference to our students to offer examples, puzzles and histories of mathematics from diverse cultures (or from 'their' cultures!) If I were the student, I’d find it really engaging. It’s fascinating to think about how ancient people approached problems and to see the connections between math and culture. F...

Group project -Applying the binomial formula

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Our group Project is 1.2.4: In the text from the Seleucids’ era (BM 34568), obviously composed for teaching purposes, occurs a rectangle with the sides a = 4, b = 3, for whose diagonals d we are given the terms d = a/2 + b and d = b/3 + a. Then we are supposed to calculate the three pieces a, b and d by means of the quantities a + d and b or b + d and a. Other than that, we can use a − b = 1 and A = a · b = 12, or a + b = 7 and A = a · b = 12. a) Solve these problems according to the modern method! b) Retrace the Babylonian steps of calculation by using the term (a + b)² − 4A = (a − b) ² passed down to us on clay tablets, in order to, first of all, calculate the difference a − b from the sum a + b and thereafter the sum and difference of quantities a and b themselves! This is our PPT: https://docs.google.com/presentation/d/1FsASoA7QqRUaOuKEkFRpz4ao2k-pwjKoL-1nAPdiKfA/edit?usp=drive_link My reflection: When I first saw the problem, I immediately noticed it was designed for teach...

10.2-Response - Market scale puzzle

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The weights I'm using are 1g, 2g, 5g, and 10g. I chose these weights because they are similar to the denominations of currency in my country. By arranging the weights on the scale's pans in different ways, various amounts can be measured. For example: Herb weight Left pan Right pan 1 1 herbs 2 2 herbs 3 1+2 herbs 4 5 1+herbs 5 5 herbs 6 1+5 herbs 7 2+5 herbs 8 1+2+5 herbs 9 10 1+herbs 10 10 herbs 11 10+1 herbs 12 10+2 herbs 13 10+1+2 herbs … … … For larger amounts, multiple 10g weights can be stacked, and the r...