AU2016203971B2 - Rotational Mathematical Teaching Aid - Google Patents
Rotational Mathematical Teaching Aid Download PDFInfo
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- AU2016203971B2 AU2016203971B2 AU2016203971A AU2016203971A AU2016203971B2 AU 2016203971 B2 AU2016203971 B2 AU 2016203971B2 AU 2016203971 A AU2016203971 A AU 2016203971A AU 2016203971 A AU2016203971 A AU 2016203971A AU 2016203971 B2 AU2016203971 B2 AU 2016203971B2
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- digits
- outer collar
- teaching aid
- magnitude
- cup
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Abstract
A rotational mathematics teaching aid; the aid comprising
a number of nestable cups axially aligned when assembled
and rotatable relative to each other; each cup including
at least a cylindrical outer collar divided into ten
facets; the facets displaying digits from zero to nine.
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AN
Description
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[0001] The present invention relates to educational
teaching resources and, more particularly to aids in the
teaching of mathematics.
[0002] The present invention relates to a teaching
resource which allows for the explicit teaching and
interactive learning of Place Value in the decimal, base
ten number system.
[0003] Students, particularly young students are known
to have difficulty grasping the value significance of digit
placement in a number string. That the same digit for
example can mean orders of magnitude differences in value
depending on its position only, can be a difficult concept
to convey.
[0004] It is an object of the present invention to
address or at least ameliorate some of the above
disadvantages or provide a useful alternative.
Notes
[0005] The term "comprising" (and grammatical variations
thereof) is used in this specification in the inclusive
sense of "having" or "including", and not in the exclusive
sense of "consisting only of".
[0006] The above discussion of the prior art in the
Background of the invention, is not an admission that any
information discussed therein is citable prior art or part of the common general knowledge of persons skilled in the art in any country.
[0007] The invention demonstrates that the value of the
digit varies according to its place in the number. This
demonstration is represented by the inherent value of the
numbers and by the relative size of the pieces comprising
the device of the invention.
[0008] An embedded knowledge of the concept of place
value is an intrinsic part of the base-ten (decimal) number
system. Learners must identify that the value of an
individual digit alters depending on its position within
the larger number.
[0009] Accordingly, in one broad form of the invention,
there is provided an education aid which comprises of a
series of individual 'cups' of various sizes which can be
used as freestanding resources and as a unit assembled
together.
[00010] Preferably, each cup has on its outer collar ten
digits, from 0 - 9.
[00011] Preferably, these cups when assembled together
are free to rotate about one another to allow students to
count by the various place value increments.
[00012] In further broad form of the invention, there is
provided a rotational mathematics teaching aid; the aid
comprising a number of nestable cups axially aligned when
assembled and rotatable relative to each other; each cup
including at least a cylindrical outer collar divided into
ten facets; the facets displaying digits from zero to nine; each nestable cup representing an incremented order of magnitude including a generally cylindrical extension portion extending from the outer collar; the length of the extension portion representative of the order of magnitude of the digits on the outer collar.
[00013] Preferably, digits of an outer collar of a first
of the nestable cups when assembled represent unit values
of the decimal or base-ten number system.
[00014] Preferably, digits of each next adjoining outer
collar represent values incremented by an order of
magnitude in the decimal or base-ten number system.
[00015]
[00016] Preferably, each successive extension portion of
each cup representing an incremented order of magnitude
increases in length and decreases in diameter.
[00017] Preferably, each extension portion is divided
into facets; each facet axially aligned with the facets of
the corresponding outer collar; each facet of the extension
portion displaying one or more zeros indicative of the
incremented order of magnitude of the digits of the outer
collar.
[00018] Preferably, a bore of each of the extension
portions of each outer collar incremented in value by an
order of magnitude, includes curved projecting structures
extending from the bore; the curved projecting structures
having an internal diameter equal to that of the bore;
adjoining respective extension portions and bores are sized
to assemble as close sliding fits.
[00019] Preferably, inner surfaces proximate outer rims
of the curved projecting structures are provided with inwardly projecting lugs; the inwardly projecting lugs aligning axially and radially with dimples provided in surfaces of inserted cylindrical extension portions when adjoining cups are assembled together.
[00020] Preferably, flexibility of the curved projecting
structures allow the lugs and dimples to act as detents,
biasing adjoining collars to align facet to facet when
assembled together.
[00021] In another broad form of the invention, there is
provided a method of teaching position value of digits in a
decimal base-ten number system; the method including a
rotational mathematics teaching aid comprising a number of
nestable cups; the method including
- associating digits zero to nine arranged around an
outer collar of a first cup of the teaching aid with units
in the decimal base-ten number system,
- associating digits zero to nine arranged around
successive outer collars of adjoining cups of the
teaching aid with increasing incremented orders of
magnitude in value, and
- wherein each nestable cup includes a generally cylindrical extension portion extending from the outer collar; the length of the extension portion representative of the order of magnitude of the digits on the outer collar.
[00022] Preferably, an incremented order of magnitude of
value of digits of each successive outer collar is
indicated by one or more zeros corresponding to the order
of magnitude; the one or more zeros displayed on extension
portions extending from the outer collar and aligned with
the digits of the outer collar.
[00023] Embodiments of the present invention will now be
described with reference to the accompanying drawings
wherein:
[00024] Figure 1 is a first perspective view of a
preferred embodiment of a mathematical teaching aid
according to the invention,
[00025] Figure 2 is a second perspective view of the
teaching aid of figure 1 with elements rotated to show a
different arrangement of digits,
[00026] Figure 3 is a perspective view of the teaching
aid of figures 1 and 2 partially disassembled,
[00027] Figure 4 is a perspective view of one of the
rotational elements of the teaching aid of figures 1 to 3,
[00028] Figure 5 is a perspective exploded view of the
rotational elements of the teaching aid.
First Preferred Embodiment
[00029] With reference to figures 1 to 3, the mathematical teaching aid 10 according to the invention is comprised of a number of nestable cups 12, 14, 16 and 18 which may be rotated relative to each other when assembled together and axially aligned. Although only four cups are illustrated, it will be understood that the principles of the teaching aid 10 may be applied to more than four cups.
[00030] Each of the cups 14, 16 and 18 is formed of an
outer lip or collar and an extension portion 14A, 16A and
18A respectively, while cup 12 comprises an end cap with an outer collar only. The outer collar of each of the cups 12 to 18 is divided into ten equal facets 20, with the facets on each collar numbered from zero to nine. This allows the series of collars of the cups 12 to 18, when assembled as in the illustrated embodiment of figures 1 and 2, to form sets of four digit numbers, with the digits on the outermost collar 12 designating units, collar 14 designating tens, collar 16 hundreds and collar 18 thousands. Thus each successive adjoining outer collar displays digits incremented by an order of magnitude in value in the decimal base-ten number system.
[00031] The extension portions 14A, 16A and 18A of the
cups 14, 16 and 18, are further provided with zero digits
according to their relative positions in the assembly to
indicate the actual value of each digit on the outer
collar. Thus it can be seen that the zero associated with
each of the digits 1 to 9 of cup 14, indicate the values 10
through 90. Likewise the pairs of zeros associated with
each of the digits 1 to 9 on the collar of cup 16, indicate
the values 100 through 900, while those of cup 18 indicate
values 1000 through 9000.
[00032] The teaching aid 10 may thus be used to instruct
numeracy to students of the base-ten number system by
helping them to identify each collar with its place value
in the decimal number system. From the assembled condition
illustrated in Figure 1, the cups may be slid apart to
reveal the actual value of a selected digit on the outer
collar of a cup.
[00033] The digits may be applied to the collars and
extension portions in any suitable manner, including by
transfer, painting as well as embossing, as is the case in
the example illustrated in the drawings. Preferably the cups are injection moulded of a suitable polymer.
Preferably also, the cups are moulded in distinguishing,
attractive bright colours.
[00034] As can best be seen from figures 3 and 5, each of
cups 14, 16 and 18 includes a cylindrical projecting
extension portion 14A, 16A and 18A, each of which,
progressing from cup 14 through 18, is of decreasing
diameter but of increasing length, with the extension
portion of cup 18 the longest and smallest in diameter, and
that of cup 14 the shortest in length but largest in
diameter. (The extension portion of cup 12 serves as a
closing cap only.) Thus on assembly, as shown in figure 3,
the extending element 18A of cup 18 is nested in the bore
of cup 16, that of cup 16 into the bore of cup 14 and that
of cup 14 into the bore of cup 12. Adjoining respective
extending elements and bores are sized to assemble as close
sliding fits.
[00035] In the preferred arrangement of the invention,
the outer collars of the cups are numbered so that the
collar of the shortest cup, that is the collar of cup 12 is
at the right hand end of the device when assembled as shown
in figures 1 and 2, and represents units, with the next
collar of cup 14 with the longer extending element 14A
representing the tens, the collar of cup 16 the hundreds
and the collar of cup 18 the thousands in a number string.
Thus a learner using the teaching aid 10 will readily
associate the lowest value digits with the smallest of the
cups, progressing to the largest values associated with the
longer extending element 18A of the largest cup 18. In this
schema, cup 12 may be named the 'units/ones' cup,
progressing through cup 14 as the 'tens' cup, cup 16 as the
'hundreds' cup and cup 18 as the 'thousands' cup.
[00036] It will be noted that due to the arrangements of increasing lengths but decreasing diameters of the
extension portions of cups 14 through 18, the cups can only
be assembled in one way, thus ensuring that the orders of
magnitude represented by the assembled cups is always
correct.
[00037] Referring now to figure 4, the collar of which is
representative of the collars of each of the cups 12 to 16,
it can be seen that the bore 24 of each of the collars 12,
14 and 16, (though not the end collar 18) includes curved
projecting structures 26 and 28, extending from the bore 24
and having the same internal diameter as that of the bore
24. On the inner surface, and at the outer rims of the
structures 26 and 28, are provided inwardly projecting lugs
, which when adjoining cups are assembled together, align
axially and radially with dimples 32 (see figure 5) which
are provided in the surfaces of the cylindrical extension
portions 14A, 16A and 18A of each of cups 14, 16 and 18.
[00038] These dimples 30 coincide or align with the
divisions between the facets 20 which carry the digits on
the collars. Flexibility of the curved projecting
structures 26 and 28 allow the lugs 30 and dimples 32 to
act as detents, biasing the adjoining collars to align
facet to facet.
[00039] The teaching aid of the invention provides for a
tactile, visible representation of the principles of the
base-ten or decimal number system. The relative rotation of
the elements allows for a user or instructor to make up any combination of strings of digits for interpretation by a student.
Claims (10)
1. A rotational mathematics teaching aid; the aid
comprising a number of nestable cups axially aligned
when assembled and rotatable relative to each other;
each cup including at least a cylindrical outer
collar divided into ten facets; the facets displaying
digits from zero to nine; each nestable cup
representing an incremented order of magnitude
including a generally cylindrical extension portion
extending from the outer collar; the length of the
extension portion representative of the order of
magnitude of the digits on the outer collar.
2. The teaching aid of claim 1 wherein digits of an
outer collar of a first of the nestable cups when
assembled represent unit values of the decimal or
base-ten number system.
3. The teaching aid of claim 1 or 2 wherein digits of
each next adjoining outer collar represent values
incremented by an order of magnitude in the decimal
or base-ten number system.
4. The teaching aid of any one of claims 1 to 3 wherein
each successive extension portion of each cup
representing an incremented order of magnitude
increases in length and decreases in diameter.
5. The teaching aid of claim 4 wherein each extension
portion is divided into facets; each facet axially
aligned with the facets of the corresponding outer
collar; each facet of the extension portion
displaying one or more zeros indicative of the
incremented order of magnitude of the digits of the
outer collar.
6. The teaching aid of claim 5 wherein a bore of each of
the extension portions of each outer collar
incremented in value by an order of magnitude,
includes curved projecting structures extending from the bore; the curved projecting structures having an internal diameter equal to that of the bore; adjoining respective extension portions and bores are sized to assemble as close sliding fits.
7. The teaching aid of claim 6 wherein inner surfaces
proximate outer rims of the curved projecting
structures are provided with inwardly projecting
lugs; the inwardly projecting lugs aligning axially
and radially with dimples provided in surfaces of
inserted cylindrical extension portions when
adjoining cups are assembled together.
8. The teaching aid of claim 7 wherein flexibility of
the curved projecting structures allows the lugs and
dimples to act as detents, biasing adjoining collars
to align facet to facet when assembled together.
9. A method of teaching position value of digits in a
decimal base-ten number system; the method including
a rotational mathematics teaching aid comprising a
number of nestable cups; the method including - associating digits zero to nine arranged around an
outer collar of a first cup of the teaching aid
with units in the decimal base-ten number system, - associating digits zero to nine arranged around
successive outer collars of adjoining cups of the
teaching aid with increasing incremented orders of
magnitude in value, and
wherein each nestable cup includes a generally
cylindrical extension portion extending from the
outer collar; the length of the extension portion
representative of the order of magnitude of the
digits on the outer collar.
10. The method of claim 9 wherein an incremented order of
magnitude of value of digits of each successive outer
collar is indicated by one or more zeros corresponding to the order of magnitude; the one or more zeros displayed on the extension portions extending from the outer collar and aligned with the digits of the outer collar.
Applications Claiming Priority (2)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| AU2015902232A AU2015902232A0 (en) | 2015-06-12 | Rotational Mathematical Teaching Aid | |
| AU2015902232 | 2015-06-12 |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| AU2016203971A1 AU2016203971A1 (en) | 2017-01-05 |
| AU2016203971B2 true AU2016203971B2 (en) | 2021-08-19 |
Family
ID=57612846
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| AU2016203971A Active AU2016203971B2 (en) | 2015-06-12 | 2016-06-14 | Rotational Mathematical Teaching Aid |
Country Status (1)
| Country | Link |
|---|---|
| AU (1) | AU2016203971B2 (en) |
Families Citing this family (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111739386B (en) * | 2020-07-16 | 2022-01-11 | 山东正禾大教育科技有限公司 | A mathematics teaching aid for training of mathematics thinking |
Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| GB737681A (en) * | ||||
| US2476580A (en) * | 1944-09-21 | 1949-07-19 | Bergman Jack | Educational device |
| EP0113705A1 (en) * | 1983-01-10 | 1984-07-18 | Daniel Brincat | Cylindrical article comprising rotatable elements, especially for educational games |
| US4651992A (en) * | 1984-11-30 | 1987-03-24 | Cybertronics Ltd. | Puzzle-type game |
| DE202004012328U1 (en) * | 2004-08-06 | 2004-12-09 | Doering, Christoph | Educational toy with a number of discs with markings around the outer edges and mounted rotationally on a common support shaft |
-
2016
- 2016-06-14 AU AU2016203971A patent/AU2016203971B2/en active Active
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| GB737681A (en) * | ||||
| US2476580A (en) * | 1944-09-21 | 1949-07-19 | Bergman Jack | Educational device |
| EP0113705A1 (en) * | 1983-01-10 | 1984-07-18 | Daniel Brincat | Cylindrical article comprising rotatable elements, especially for educational games |
| US4651992A (en) * | 1984-11-30 | 1987-03-24 | Cybertronics Ltd. | Puzzle-type game |
| DE202004012328U1 (en) * | 2004-08-06 | 2004-12-09 | Doering, Christoph | Educational toy with a number of discs with markings around the outer edges and mounted rotationally on a common support shaft |
Also Published As
| Publication number | Publication date |
|---|---|
| AU2016203971A1 (en) | 2017-01-05 |
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Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| FGA | Letters patent sealed or granted (standard patent) |