The Psychology of Number And Its Applications to Methods of Teaching Arithmetic;
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He will also express without any help tvjo tens and no units, three tens and no units, etc. ; then two tens and one unit, two tens and two units, up to ten tens and no units, which he will write at once as 100 ; counting up and expressing, that is, one ten (10), two tens (20), three tens (30), ... ten tens (100), just as he has counted up and expressed the one-units, 1, 2, 3, 4 . . . 10. But he knows that the ten tens make a new unit of measure, viz., one hundred ; he sees the significance of t...he 1 here, as in 1 (one-unit) and in 10, and counts and ex- presses his counts in exactly the same way — one hun- dred (100), two hundred (200), three hundred (300), etc., to ten hundred (1000). He has learned also that 14 192 THE PSYCHOLOGY OF NUMBER.
ten of the hundred units make a new unit of measure — the 6»M6-thousand unit — and he now sees the significance of the 1 in this place {i\\e fourth place), and can go on counting and expressing his counts of the ten-thousand units. Proceeding thus to any desired extent, he has almost, unaided, mastered the principles of the decimal system — the use of the zero, the absolutely unchanging values of the digits as numbers, the values of the units of measure denoted by any digit according to its place in the series, the single figure denoting so many one-units (so many units of reference — yard, dollar, pound, etc.), the second figure to the left so many ten-units, the third so many hundred-units, the fourth so many thousand- units, the fifth so many ten-thousand units, etc.
What to read after The Psychology of Number And Its Applications to Methods of Teaching Arithmetic;?
You can find similar books in the "Read Also" column, or choose other free books by Dewey, John, 1859-1952 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
He will also express without any help tvjo tens and no units, three tens and no units, etc. ; then two tens and one unit, two tens and two units, up to ten tens and no units, which he will write at once as 100 ; counting up and expressing, that is, one ten (10), two tens (20), three tens (30), ... ten tens (100), just as he has counted up and expressed the one-units, 1, 2, 3, 4 . . . 10. But he knows that the ten tens make a new unit of measure, viz., one hundred ; he sees the significance of t...he 1 here, as in 1 (one-unit) and in 10, and counts and ex- presses his counts in exactly the same way — one hun- dred (100), two hundred (200), three hundred (300), etc., to ten hundred (1000). He has learned also that 14 192 THE PSYCHOLOGY OF NUMBER.
ten of the hundred units make a new unit of measure — the 6»M6-thousand unit — and he now sees the significance of the 1 in this place {i\\e fourth place), and can go on counting and expressing his counts of the ten-thousand units. Proceeding thus to any desired extent, he has almost, unaided, mastered the principles of the decimal system — the use of the zero, the absolutely unchanging values of the digits as numbers, the values of the units of measure denoted by any digit according to its place in the series, the single figure denoting so many one-units (so many units of reference — yard, dollar, pound, etc.), the second figure to the left so many ten-units, the third so many hundred-units, the fourth so many thousand- units, the fifth so many ten-thousand units, etc.
What to read after The Psychology of Number And Its Applications to Methods of Teaching Arithmetic;?
You can find similar books in the "Read Also" column, or choose other free books by Dewey, John, 1859-1952 to read onlineMoreLess
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