The Geometer's Sketchpad is a commercial
interactive geometry software program for exploring
Euclidean geometry,
algebra,
calculus, and other areas of
mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
. It was created as part of the
NSF-funded Visual Geometry Project led by Eugene Klotz and
Doris Schattschneider
Doris J. Schattschneider (née Wood) is an American mathematician, a retired professor of mathematics at Moravian College. She is known for writing about tessellations and about the art of M. C. Escher,.. for helping Martin Gardner validate and p ...
from 1986 to 1991 at
Swarthmore College
Swarthmore College ( , ) is a Private college, private Liberal arts colleges in the United States, liberal arts college in Swarthmore, Pennsylvania. Founded in 1864, with its first classes held in 1869, Swarthmore is one of the earliest coeduca ...
.
Nicholas Jackiw
Nicholas is a male given name and a surname.
The Eastern Orthodox Church, the Roman Catholic Church, and the Anglican Churches celebrate Saint Nicholas every year on December 6, which is the name day for "Nicholas". In Greece, the name and it ...
, a student at the time, was the original designer and programmer of the software, and inventor of its trademarked "
Dynamic Geometry" approach; he later moved to
Key Curriculum Press
McGraw Hill is an American educational publishing company and one of the "big three" educational publishers that publishes educational content, software, and services for pre-K through postgraduate education. The company also publishes referenc ...
, KCP Technologies, and McGraw-Hill Education to continue ongoing design and implementation of the software over multiple major releases and hardware platforms. Present versions run
Microsoft Windows
Windows is a group of several proprietary graphical operating system families developed and marketed by Microsoft. Each family caters to a certain sector of the computing industry. For example, Windows NT for consumers, Windows Server for serv ...
and
Mac OS 8. It also runs on
Linux under
Wine with a few bugs. There was also a version developed for the
TI-89 and
TI-92 series of Calculators. In June 2019 McGraw-Hill announced they will no longer sell new licenses. Nonetheless,
new (2021) 64-bit version of Mac Sketchpadthat is compatible with the new Apple M1 silicon chips is available as part of an ongoing beta test.
Features
The Geometer's Sketchpad includes the traditional Euclidean tools of classical geometric constructions. It also can perform transformations (translations, rotations, reflections, dilations) of geometric figures drawn or constructed on screen. It is far more than a construction or transformation tool, however. It can manipulate constructed objects "dynamically" by stretching or dragging while maintaining all constraints of the construction so that a seemingly infinite number of cases of a constructed figure can be viewed. Thus it is a natural tool for making or testing conjectures about geometric figures. Its accurate drawings of geometric figures make it a useful tool for illustrating mathematical articles for publication. If a figure (such as the
pentadecagon) can be constructed with the
compass and straightedge method, it can also be constructed in the program. The program allows "cheat" transformations to create figures impossible to construct under the compass and straightedge rules (such as the regular
nonagon). Objects can be animated.
The program allows the creation of numerous objects which can be measured, and potentially used to solve hard math problems. The program allows the determination of the
midpoints and midsegments of objects. The Geometer's Sketchpad can measure lengths of
segments, measures of
angles,
area,
perimeter, etc. Some of the tools include a construct function, which allows the user to create objects in relation to selected objects. The transform function allows the user to create points in relation to objects, which include distance, angle, ratio, and others.
[Geometry Turned On: ''Dynamic Software in Learning, Teaching, and Research'', James King and Doris Schatschneider, eds., Math. Assoc. of Amer., 1997.]
Web Sketchpad
Built on the foundation of The Geometer's Sketchpad
Web Sketchpad(WSP) began as part of the NSF DRK-12 funde
Dynamic Number project WSP removes distracting interfaces—it has no menus, displays no dialog boxes, and does not require users to “select” objects to apply commands to them. Three noteworthy characteristics of Web Sketchpad's tools are the following:
Web Sketchpad's tools are immediately visible. When a user taps a tool icon, all the objects produced by the tool are immediately visible, foregrounded in the sketch and awaiting the user's decision as to how to integrate these objects into the sketch. In contrast, other dynamic mathematics software often leaves students unable to predict the effects of their next action.
Web Sketchpad's tools are targeted. Activities include only those tools necessary for the task at hand, reducing software complexity. A focused set of tools also the activity designer to create instrumented fields of promoted action where the presence of particular tools encourages teachers and students to adopt these tools as frames of action and reference, channeling them to think about problems in ways they otherwise might not.
Web Sketchpad's tools are customizable. The set of WSP tools is theoretically unlimited. A teacher can craft new tools based on the mathematical and pedagogical needs of a lesson without the traditional limits of a fixed set of generic tools.
See also
*
List of interactive geometry software
*
Lénárt sphere
References
Further reading
*Kimberling, Clark. ''Geometry in Action: A Discovery Approach Using The Geometer's Sketchpad.'' Key College Publishing, Emeryville, California, (2003), .
*
External links
*
Sketchpad RepositoryWeb Sketchpad
{{DEFAULTSORT:Geometer's Sketchpad
Interactive geometry software