Problem Solving Introduction - Revision history

Khanh: /* Licensing */

2022-02-05T19:28:59Z

Licensing

Khanh: /* Tally marks */

2022-02-05T19:25:17Z

Tally marks

Khanh: /* Pictures */

2022-02-05T19:23:37Z

Pictures

Khanh at 18:29, 5 February 2022

2022-02-05T18:29:03Z

Khanh at 18:19, 5 February 2022

2022-02-05T18:19:42Z

Khanh: /* Pictures */

2022-02-05T18:15:52Z

Pictures

Khanh: /* Diagrams */

2022-02-05T18:05:25Z

Diagrams

Khanh at 18:03, 5 February 2022

2022-02-05T18:03:51Z

Khanh at 17:51, 5 February 2022

2022-02-05T17:51:41Z

Show changes

Khanh: Created page with "== Licensing == Content obtained and/or adapted from: * [https://en.wikipedia.org/wiki/Base_ten_block Base ten block, Wikipedia] under a CC BY-SA license https://en.wikipedi..."

2022-02-05T03:23:46Z

Created page with "== Licensing == Content obtained and/or adapted from: * [https://en.wikipedia.org/wiki/Base_ten_block Base ten block, Wikipedia] under a CC BY-SA license https://en.wikipedi..."

New page

== Licensing ==
Content obtained and/or adapted from:
* [https://en.wikipedia.org/wiki/Base_ten_block Base ten block, Wikipedia] under a CC BY-SA license

https://en.wikipedia.org/wiki/Mathematical_logic

https://en.wikipedia.org/wiki/Multiple_representations_(mathematics_education)

https://en.wikipedia.org/wiki/Cuisenaire_rods

https://en.wikipedia.org/wiki/Diagram

https://en.wikipedia.org/wiki/Manipulative_(mathematics_education)

https://en.wikipedia.org/wiki/Number_line

https://en.wikipedia.org/wiki/Problem_solving

@@ Line 298: / Line 298: @@
 * [https://en.wikipedia.org/wiki/Cuisenaire_rods Cuisenaire rods, Wikipedia] under a CC BY-SA license
 * [https://en.wikipedia.org/wiki/Pictogram Pictogram, Wikipedia] under a CC BY-SA license
 * [https://en.wikipedia.org/wiki/Diagram Diagram, Wikipedia] under a CC BY-SA license
 * [https://en.wikipedia.org/wiki/Table_(information) Table (information), Wikipedia] under a CC BY-SA license

@@ Line 153: / Line 153: @@
 ==== Tally marks ====
 [[File:Strike symbol (49778996432).jpg |thumb|Tally marks on a chalkboard]]
 '''Tally marks''', also called '''hash marks''', are a unary numeral system. They are a form of numeral used for counting. They are most useful in counting or tallying ongoing results, such as the score in a game or sport, as no intermediate results need to be erased or discarded.
@@ Line 160: / Line 158: @@
 ;Clustering
 Tally marks are typically clustered in groups of five for legibility. The cluster size 5 has the advantages of (a) easy conversion into decimal for higher arithmetic operations and (b) avoiding error, as humans can far more easily correctly identify a cluster of 5 than one of 10.

@@ Line 113: / Line 113: @@
 === Pictures ===
 [[File:Titanic casualties.svg|thumb|300px|alt=table with boxes instead of numbers, the amounts and sizes of boxes represent amounts of people|A compound pictogram showing the breakdown of the survivors and deaths of the maiden voyage of the RMS Titanic by class and age/gender.]]
@@ Line 149: / Line 150: @@
 As the values are rounded to the nearest 5 letters, the second icon on Tuesday is the left half of the original.
 === Diagrams ===

@@ Line 199: / Line 199: @@
 </gallery>
 |}
 == Licensing ==
@@ Line 208: / Line 282: @@
 * [https://en.wikipedia.org/wiki/Pictogram Pictogram, Wikipedia] under a CC BY-SA license
 * [https://en.wikipedia.org/wiki/Diagram Diagram, Wikipedia] under a CC BY-SA license

@@ Line 115: / Line 115: @@
 [[File:Titanic casualties.svg|thumb|300px|alt=table with boxes instead of numbers, the amounts and sizes of boxes represent amounts of people|A compound pictogram showing the breakdown of the survivors and deaths of the maiden voyage of the RMS Titanic by class and age/gender.]]
-In statistics, pictograms are charts in which icons represent numbers to make it more interesting and easier to understand. A key is often included to indicate what each icon represents. All icons must be of the same size, but a fraction of an icon can be used to show the respective fraction of that amount.
+Pictograms are charts in which icons represent numbers to make it more interesting and easier to understand. A key is often included to indicate what each icon represents. All icons must be of the same size, but a fraction of an icon can be used to show the respective fraction of that amount.
 For example, the following table:
@@ Line 206: / Line 206: @@
 * [https://en.wikipedia.org/wiki/Manipulative_(mathematics_education) Manipulative (mathematics education), Wikipedia] under a CC BY-Sa license
 * [https://en.wikipedia.org/wiki/Cuisenaire_rods Cuisenaire rods, Wikipedia] under a CC BY-SA license
 * [https://en.wikipedia.org/wiki/Diagram Diagram, Wikipedia] under a CC BY-SA license

← Older revision		Revision as of 18:15, 5 February 2022
Line 113:		Line 113:

	=== Pictures ===		=== Pictures ===
		+	[[File:Titanic casualties.svg\|thumb\|300px\|alt=table with boxes instead of numbers, the amounts and sizes of boxes represent amounts of people\|A compound pictogram showing the breakdown of the survivors and deaths of the maiden voyage of the RMS Titanic by class and age/gender.]]
		+
		+	In statistics, pictograms are charts in which icons represent numbers to make it more interesting and easier to understand. A key is often included to indicate what each icon represents. All icons must be of the same size, but a fraction of an icon can be used to show the respective fraction of that amount.
		+
		+	For example, the following table:
		+	{\| class="wikitable"
		+	! Day !! Letters sent
		+	\|-
		+	\| Monday \|\| 10
		+	\|-
		+	\| Tuesday \|\| 17
		+	\|-
		+	\| Wednesday \|\| 29
		+	\|-
		+	\| Thursday \|\| 41
		+	\|-
		+	\| Friday \|\| 18
		+	\|}
		+	can be graphed as follows:
		+	{\| class="wikitable sortable mw-collapsible mw-collapsed"
		+	\|+
		+	! Day !! Letters sent
		+	\|-
		+	\| Monday \|\| [[File:Email Silk.svg\|alt=one envelope]]
		+	\|-
		+	\| Tuesday \|\| [[File:Email Silk.svg\|alt=one envelope]] [[File:Image from the Silk icon theme by Mark James half left.svg\|alt=and a half]]
		+	\|-
		+	\| Wednesday \|\| [[File:Email Silk.svg\|alt=three envelopes]] [[File:Email Silk.svg\|alt=]] [[File:Email Silk.svg\|alt=]]
		+	\|-
		+	\| Thursday \|\| [[File:Email Silk.svg\|alt=four envelopes]] [[File:Email Silk.svg\|alt=]] [[File:Email Silk.svg\|alt=]] [[File:Email Silk.svg\|alt=]]
		+	\|-
		+	\| Friday \|\| [[File:Email Silk.svg\|alt=two envelopes]] [[File:Email Silk.svg\|alt=]]
		+	\|}
		+	Key: [[File:Email Silk.svg\|alt=one envelope]] = 10 letters
		+
		+	As the values are rounded to the nearest 5 letters, the second icon on Tuesday is the left half of the original.

	=== Diagrams ===		=== Diagrams ===

@@ Line 117: / Line 117: @@
 A '''diagram''' is a symbolic representation of information using visualization techniques. Diagrams have been used since prehistoric times on walls of caves, but became more prevalent during the Enlightenment. Sometimes, the technique uses a three-dimensional visualization which is then projected onto a two-dimensional surface. The word ''graph'' is sometimes used as a synonym for diagram.
-;Gallery of diagram types
+====Gallery of diagram types====
 There are at least the following types of diagrams:

@@ Line 121: / Line 121: @@
 There are at least the following types of diagrams:
-* [[Logic]]al or conceptual diagrams, which take a collection of items and relationships between them, and express them by giving each item a 2D position, while the relationships are expressed as connections between the items or overlaps between the items, for example:
+* Logical or conceptual diagrams, which take a collection of items and relationships between them, and express them by giving each item a 2D position, while the relationships are expressed as connections between the items or overlaps between the items, for example:
 {|style="width:100%"
@@ Line 127: / Line 127: @@
 |style="vertical-align:top;"|
 <gallery perrow="5" widths="80" heights="80">
-File:Tree Example.png|[[Tree structure|tree diagram]]
+File:Tree Example.png|Tree diagram
-File:Neural network.svg|[[Network diagram]]
+File:Neural network.svg|Network diagram
-File:LampFlowchart.svg|[[Flowchart]]
+File:LampFlowchart.svg|Flowchart
-File:Set intersection.svg|[[Venn diagram]]
+File:Set intersection.svg|Venn diagram
-File:Alphagraphen.png|[[Existential graph]]
+File:Alphagraphen.png|Existential graph
 </gallery>
 |}
-* Quantitative diagrams, which display a relationship between two variables that take either [[Discrete mathematics|discrete]] or a [[continuous function|continuous]] range of values; for example:
+* Quantitative diagrams, which display a relationship between two variables that take either discrete or a continuous range of values; for example:
 {|style="width:100%"
@@ Line 141: / Line 141: @@
 |style="vertical-align:top;"|
 <gallery perrow="5" widths="80" heights="80">
-File:Histogram example.svg|[[Histogram]]
+File:Histogram example.svg|Histogram
-File:Graphtestone.svg|[[Bar graph]]
+File:Graphtestone.svg|Bar graph
-File:Zusammensetzung Shampoo.svg|[[Pie chart]]
+File:Zusammensetzung Shampoo.svg|Pie chart
-File:Hyperbolic Cosine.svg|[[Function graph]]
+File:Hyperbolic Cosine.svg|Function graph
-File:R-car stopping distances 1920.svg|[[Scatter plot]]
+File:R-car stopping distances 1920.svg|Scatter plot
 File:Hanger Diagram.png|Hanger diagram.
 </gallery>
 |}
-* [[Schematic]]s and other types of diagrams, for example:
+* Schematics and other types of diagrams, for example:
 {|style="width:100%"
@@ Line 156: / Line 156: @@
 |style="vertical-align:top;"|
 <gallery perrow="5" widths="80" heights="80">
-File:Train schedule of Sanin Line, Japan, 1949-09-15, part.png|[[Time–distance diagram]]
+File:Train schedule of Sanin Line, Japan, 1949-09-15, part.png|Time–distance diagram
-File:Gear pump exploded.png|[[Exploded view]]
+File:Gear pump exploded.png|Exploded view
-File:US 2000 census population density map by state.svg|[[Population density|Population density map]]
+File:US 2000 census population density map by state.svg|Population density map
-File:Pioneer plaque.svg|[[Pioneer plaque]]
+File:Pioneer plaque.svg|Pioneer plaque
-File:Automotive diagrams 01 En.png|[[Three-dimensional|Three-dimensional diagram]]
+File:Automotive diagrams 01 En.png|Three-dimensional diagram
 </gallery>
 |}