US390824A - Apparatus for teaching arithmetic - Google Patents

Apparatus for teaching arithmetic Download PDF

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US390824A
US390824A US390824DA US390824A US 390824 A US390824 A US 390824A US 390824D A US390824D A US 390824DA US 390824 A US390824 A US 390824A
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rollers
numbers
casing
sides
roller
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    • GPHYSICS
    • G09EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
    • G09BEDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
    • G09B19/00Teaching not covered by other main groups of this subclass
    • G09B19/02Counting; Calculating

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  • This invention relates to an apparatus for teaching arithmetic, and has for its objects to dispense with elementary text-books, to facilitate the forming and solution of problems and the teaching of notation and numeration, and the saving of time and labor for both teacher and pupil.
  • Figure l is a front view of the invention.
  • Fig. isa plan view thereof, partly insection.
  • Fig. 3 is a vertical section thereof on the line 00 a, Fig. 1; and
  • Fig. 4 is a horizontal section on the line 3 y, Fig. 1.
  • a casing, A is employed, mounted on a standard, 3', or other suitable support.
  • the casing A is provided at its top wit-h a pair of three-cor- 0 nered rollers, 0, extending across from side to side thereof and having their pivotal bearings in the sides D of easing A.
  • Beneath the rollers O are located two series of three-cornered rollers E and F, and having their piv- 5 otal bearings in the sides D and in the vertical strips G, extending from the horizontal strip H to the bottom strip 1.
  • a vertical threecornered roller, J having its bearings i n crossstrips H and I.
  • Each series of rollers E and F number eleven rollers, the former being longer than the latter in order to contain larger numbers.
  • the upper roller, 0, is provided on one side with the numbers 1 to 10, 5 inclusive, as shown, and on another side (not shown) the Roman figures VII, VI, V, IV, III, II, I, and the decimal mark.
  • the lower roller, 0, is provided with the numbers 11 to 20,inelusive, on one side, as shown, and on another side (not shown) with the numbers 100, 200,
  • rollers E and F has two sides with numbers and a third side blank, some of the rollers in the drawings being turned to indicate the blank side.
  • the vertical roller J has one side provided with division-signs, as shown, and another side (not shown) with multiplication-signs, while the third side is blank.
  • the larger numbers on the several rollers are indicated by the capital letters of the alphabet arranged on the sides D, as shown, from top to bottom, beginning on the left side, each capital letter being opposite the end of a roller, and indicating by its name the larger numbers when the rollers are turned to bring the number opposite to the latter.
  • the smaller numbers on the rollers are similarly indicated and named by the small letters of the alphabet, the rollers 0 having the letters a n on the upper roller and the letters b 0 on the lower roller. In this way each number is named, which is enormous valuable to the teacher, who has the answers of all the problems in addition, subtraction, multiplication, and division in a manual,which accompanies the appa- 8o ratus.
  • the several rollers are operated by buttons K on the ends of the spindles L of the rollers 10o projecting through holes M in the sides D, and are frictionally held in adjusted position by means of springs N, inclosed in casings O, secured to the sides D, and pressing against the buttons K and the side of the casing.
  • the casing A is provided at its bottom with a hundred beads, P, strung on a wire, It, mounted in brackets S, secured to the casing.
  • the device is useful in connection with the rest of the apparatus, and more convenient than the old frame of ten wires with ten beads each.
  • the top of the casing A is provided with extensible rods T, mounted in brackets U, on which rods, when drawn out, charts may be suspended.
  • extensible rods T mounted in brackets U, on which rods, when drawn out, charts may be suspended.
  • An arithmetical apparatus consisting in a casing, two vertical series of horizontallyaligned polygonal rollers having numerals on their faces, and an intermediate vertical polygonal roller sepa 'ating the said series and having algebraic signs on its faces, substair tially as set forth.
  • An arithmetical apparatus consisting of a casing having a number of three-cornered rollers at its top extending from side to side of the casing, with aseries of numbers arranged on their sides, a number or series of long and short rollers with an intervening vertical roller located below the lirstnamed rollers, and having numbers on two sides and the third side blank, the vertical roller having multiplicationsigns on one side, division-signs on another, and the third side blank, and signs arranged on the casing at the ends of the rollers and on the rollers, by means of which the differentnumbered rollers are named and indicated, substantially as described.
  • An arithmetical apparatus consisting of a casing having a number of three cornered rollers at its top extending from side to side of the casing, with a series of numbers arranged on their sides, a number or series of long and short rollers located below the firstnamed rollers, and having numbers on two sides and the third side blank, and signs arranged on the casing at the ends of the rollers and on the rollers, by means of which the different-numbered rollers are named and indicated, substantially as described.
  • An arithmetical apparatus consisting of easing A, having the three-sided rollers U at its top, with their bearings in the sides D of the casing, the two series of long three-sided rollers E and short three sided rollers F, the long and short rollers having numbers on two sides and the third side blank, and the sides D, having the capital letters A to Z opposite the ends of the rollers to indicate large numbers, and the rollers having the small letters a" to z toindicate small numbers, the vertical thrce-sided roller J, with multiplication-signs on one side, division-signs on the other, and the third side blank, the several rollers being provided with spindles L,'l1aving buttons K, and frictional adj listing-springs N inclosed in casings O, substantially as described.

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  • Engineering & Computer Science (AREA)
  • Entrepreneurship & Innovation (AREA)
  • Physics & Mathematics (AREA)
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Description

(No Model.)
I. L. UNTERBRINK & A. G. VANDENBROGK. APPARATUS FOR TEACHING A'RITHMETIO.
No. 390,824. Patented Oct. 9, 1888. 2 3,
he A I 7/ A Teache 64155255668776. 6 7234 6742970 7 W 4,; xx WITNESSES A //v van/r09 W By xgwmzvm ATTORNEY,
N. PETERS, Pholn-Lnhognphnr. Wnshmgmn. n. cy
ira-
IGNATIUS L. UNTERBRINK, OF ST. ROSA, AND ALBERT G. VANDENBROOK,
OF GASSELLA, OHIO.
APPARATUS FOR TEACHING ARITHMETEC.
SPECIFICATION forming part of Letters Patent No. $90,824:, dated October 9, 1888.
Application filed May 26, 1888. Serial No. 275,186. (No model.)
To all whom, it may concern.-
Be it known that we, IGNATIUS L. UNTER- BRINK, of St. Rosa, in the county of Mercer and State of Ohio, and ALBERT G. VANDEN- BROOK, of Oassella, in the county of Mercer and State of Ohio, have invented a new and Improved Apparatus for Teaching Arithmetic, of which the iollowing is a full, clear, and exact description.
This invention relates to an apparatus for teaching arithmetic, and has for its objects to dispense with elementary text-books, to facilitate the forming and solution of problems and the teaching of notation and numeration, and the saving of time and labor for both teacher and pupil.
Reference is to be had to the accompanying drawings, forming a part ol'this specification, in which similar letters of reference indicate corresponding parts in all the figures.
Figure l is a front view of the invention. Fig. isa plan view thereof, partly insection. Fig. 3 is a vertical section thereof on the line 00 a, Fig. 1; and Fig. 4 is a horizontal section on the line 3 y, Fig. 1.
In the construction of this apparatus a casing, A, is employed, mounted on a standard, 3', or other suitable support. The casing A is provided at its top wit-h a pair of three-cor- 0 nered rollers, 0, extending across from side to side thereof and having their pivotal bearings in the sides D of easing A. Beneath the rollers O are located two series of three-cornered rollers E and F, and having their piv- 5 otal bearings in the sides D and in the vertical strips G, extending from the horizontal strip H to the bottom strip 1. Between the vertical strips G is located a vertical threecornered roller, J, having its bearings i n crossstrips H and I. Each series of rollers E and F number eleven rollers, the former being longer than the latter in order to contain larger numbers. The upper roller, 0, is provided on one side with the numbers 1 to 10, 5 inclusive, as shown, and on another side (not shown) the Roman figures VII, VI, V, IV, III, II, I, and the decimal mark. The lower roller, 0, is provided with the numbers 11 to 20,inelusive, on one side, as shown, and on another side (not shown) with the numbers 100, 200,
300, 400, 500, 600,700, $00, and 900. The Roman figures above mentioned are so arranged on the upper roller, 0, that VII will be located above 100, VI above 200, 810., on the lower roller, 0'.
Each of the rollers E and F has two sides with numbers and a third side blank, some of the rollers in the drawings being turned to indicate the blank side. The vertical roller J has one side provided with division-signs, as shown, and another side (not shown) with multiplication-signs, while the third side is blank.
The larger numbers on the several rollers are indicated by the capital letters of the alphabet arranged on the sides D, as shown, from top to bottom, beginning on the left side, each capital letter being opposite the end of a roller, and indicating by its name the larger numbers when the rollers are turned to bring the number opposite to the latter. The smaller numbers on the rollers are similarly indicated and named by the small letters of the alphabet, the rollers 0 having the letters a n on the upper roller and the letters b 0 on the lower roller. In this way each number is named, which is immensely valuable to the teacher, who has the answers of all the problems in addition, subtraction, multiplication, and division in a manual,which accompanies the appa- 8o ratus.
By having each number named, as above described, it is possible for the teacher to assign problems easily. For instance, there are eleven pupils in a class in multiplication or division. Pupil 0 copies the number indicated by that letter, pupil D the number indicated by that letter, and so on. Each pupil thus has a different multiplicand or dividend. Now, for example, let each pupil multiply or 0 divide his number by the number indicated by 1?. In this way problemsin multiplication or division may be performed. As the numbers on the series of rollers decrease from top to bottom, an immense variety of problems in subtraction is possible. In addition problems can be given from the smallest to very large ones.
The several rollers are operated by buttons K on the ends of the spindles L of the rollers 10o projecting through holes M in the sides D, and are frictionally held in adjusted position by means of springs N, inclosed in casings O, secured to the sides D, and pressing against the buttons K and the side of the casing. The casing Ais provided at its bottom with a hundred beads, P, strung on a wire, It, mounted in brackets S, secured to the casing. The device is useful in connection with the rest of the apparatus, and more convenient than the old frame of ten wires with ten beads each.
The top of the casing A is provided with extensible rods T, mounted in brackets U, on which rods, when drawn out, charts may be suspended. By having triangular rollers, with two sides containingnumbers and a third side blank a variety of problems may be given with any arrangement of numbers desired.
By means of an apparatus constructed and arranged as hereinbel'ore set forth arithmetic may easily be taught and made plain, and labor and time saved both for teacher and pupil.
Having thus described our invention, what we claim as new, and desire to seeu re by Letters Patent, is-
1. An arithmetical apparatus consisting in a casing, two vertical series of horizontallyaligned polygonal rollers having numerals on their faces, and an intermediate vertical polygonal roller sepa 'ating the said series and having algebraic signs on its faces, substair tially as set forth.
2. An arithmetical apparatus consisting of a casing having a number of three-cornered rollers at its top extending from side to side of the casing, with aseries of numbers arranged on their sides, a number or series of long and short rollers with an intervening vertical roller located below the lirstnamed rollers, and having numbers on two sides and the third side blank, the vertical roller having multiplicationsigns on one side, division-signs on another, and the third side blank, and signs arranged on the casing at the ends of the rollers and on the rollers, by means of which the differentnumbered rollers are named and indicated, substantially as described.
3. An arithmetical apparatus consisting of a casing having a number of three cornered rollers at its top extending from side to side of the casing, with a series of numbers arranged on their sides, a number or series of long and short rollers located below the firstnamed rollers, and having numbers on two sides and the third side blank, and signs arranged on the casing at the ends of the rollers and on the rollers, by means of which the different-numbered rollers are named and indicated, substantially as described.
4. An arithmetical apparatus consisting of easing A, having the three-sided rollers U at its top, with their bearings in the sides D of the casing, the two series of long three-sided rollers E and short three sided rollers F, the long and short rollers having numbers on two sides and the third side blank, and the sides D, having the capital letters A to Z opposite the ends of the rollers to indicate large numbers, and the rollers having the small letters a" to z toindicate small numbers, the vertical thrce-sided roller J, with multiplication-signs on one side, division-signs on the other, and the third side blank, the several rollers being provided with spindles L,'l1aving buttons K, and frictional adj listing-springs N inclosed in casings O, substantially as described.
IGNATIUS L. UNTERBRINK. ALBERT G. VANDENBROGK.
Witnesses:
J our: IBoMrIoL'r, Jenn Burns.
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