Re:Can 1/3 and 1/3 = 2/6? It seemed so
by trhway on Tuesday May 26, 2020 @10:28PM
(#23318786)
Just a missing step in the explanation:
"1/3 of the students at the first table + 1/3 of the students at a second table =
1/3 of 1/2 of all the students at both tables [ie. those students at the first table] + 1/3 of another 1/2 of all the students at both tables [ie. those at a second table] =
1/3 of the students at both tables"
In US math education I noticed there is a lot emphasis on specific patterns/formulas/etc., kind of "deus ex machina", and a lot of excercises to mechanize their application, yet too little is spend on where it comes from, manual derivation/proval of formulas, establishing logical connections, etc.
"1/3 of the students at the first table + 1/3 of the students at a second table =
1/3 of 1/2 of all the students at both tables [ie. those students at the first table] + 1/3 of another 1/2 of all the students at both tables [ie. those at a second table] =
1/3 of the students at both tables"
In US math education I noticed there is a lot emphasis on specific patterns/formulas/etc., kind of "deus ex machina", and a lot of excercises to mechanize their application, yet too little is spend on where it comes from, manual derivation/proval of formulas, establishing logical connections, etc.