Information about Graphing Calculator
Graphing Calculator may refer to:

A graphing calculator (also known as a graphic calculator or graphical calculator) typically refers to a class of handheld calculators that are capable of plotting graphs, solving simultaneous equations, and performing numerous other tasks with variables. Most popular graphing calculators are also programmable, allowing the user to create customized programs, typically for scientific/engineering and education applications. Due to their large displays intended for graphing, they can also accommodate several lines of text and calculations at a time. Some graphing calculators also have color displays, and others may even include 3D graphing. Mac OS X includes an advanced software graphic calculator known as Grapher.
Since graphing calculators are readily user-programmable, such calculators are also widely used for gaming purposes, with a sizeable body of user-created game software on most popular platforms.
Texas Instruments has produced models of graphing calculators since 1990, the oldest of which was the TI-81. Some of the newer calculators are just like it, only with larger memories, such as the TI-82, TI-83 series, (including the TI-83, TI-83 Plus, and TI-83 Plus Silver Edition), and the TI-84 Plus series (including the TI-84 Plus and TI-84 Plus Silver Edition). Other models, designed to be appropriate for students 10–14 years of age, are the TI-80 and TI-73 series. Other TI graphing calculators have been designed to be appropriate for calculus, namely the TI-85, TI-86, TI-89 series, and TI-92 series, (including the TI-92, TI-92 Plus, and Voyage 200). TI offers a computer algebra system on the TI-89 and TI-92 series models with the TI-92 series having a QWERTY keypad. TI calculators are targeted specifically to the educational market, but are also widely available to the general public.
HP and TI are the most popular makes, followed by Casio in third place. Graphing calculators are also manufactured by Sharp but they do not have the online communities and collections of programs like the other brands.
Computer software is also available to emulate or perform the functions of a graphing calculator.
To begin with, graphing calculators provide students with a sense of ownership in mathematics by giving them the power to personally create and manipulate graphs and model mathematical principles. This simple but important factor is contributing to a change in the dynamics of calculus classrooms.
Further, enhanced calculator functionalities have been instrumental in enabling a multi-representational approach to calculus education. Standard graphing calculators now provide three linked, canonical views of mathematical constructs: numeric views (using tables and lists), symbolic views (using algebraic expressions and function definitions), and graphical views (function graphs, charts, and scatter plots). Some of the most valuable supports for student learning derived from these new functionalities include depicting graphs at varying levels of magnification, illustrating slope fields, and rapidly calculating sequences of related expressions.
Take for example the concept of the derivative. Students can use a graphing calculator to numerically calculate approximate difference quotients quickly and easily, thereby strengthening their understanding of function approximations. Zooming capabilities within graphs enable students to explore the notion of local linearity—a key property of differential functions and the foundation of so many of the important concepts, results, and applications of calculus. By zooming in on the graph of a differentiable function, it is possible for students to actually see what happens to that function at a particular localization. This visualization helps students to understand the notion of a tangent line as a linear approximation of a function at a given point. Further, students can see that the tangent line is both a unique and optimal linear approximation of a function at a given point. In this way, graphs generated by the technology become a tool for illustrating the meaning of the derivative, rather than the mere output of symbolic calculations of the derivative.
While graphing calculators present an incredible opportunity for students to visualize math concepts, the fact that they are not infinitely precise does present some inherent limitations. Most notably, the discrete nature of calculators means that the visual display of a function partly depends on external factors. For example, in order for a hole in the graph of a function to appear, it must be within the parameters of the screen, and it must fall precisely on a pixel location. Nonetheless, graphing calculators offer truly new tools for teaching and learning calculus—tools that support both affective and cognitive aspects of student learning.
In fact, a substantial body of educational research now indicates that graphing calculators can have significant benefits for mathematics learning. Research shows that students using graphing calculators develop flexible strategies for problem solving and a deeper appreciation of mathematical meaning than students who do not use graphing calculators (Ellington, 2003; Khoju, Jaciw, and Miller, 2005). In addition, students who use graphing calculators are better able to understand variables and functions, solve algebra problems in applied contexts, interpret graphs, and move among varied representations—that is from graphs to tables to equations—than students who do not have access to the technology.
A number of findings from large-scale educational studies and meta-analyses illustrate the association between graphing calculators and greater mathematics achievement. Research from the National Progress (NAEP) has consistently shown that at the eighth grade level frequent use of calculators is associated with greater mathematics achievement (Figure 1). Moreover, research shows that teachers and students who used graphing calculators most frequently learned the most. On the NAEP assessment, 8th graders whose teachers reported that calculators were used almost every day scored the highest (NCES, 2001). Similarly, in examining an implementation that aligned graphing technology with a comprehensive math curriculum, Heller found that daily use of graphing calculators is more effective than infrequent use (Heller, 2005).
Unlike many educational technologies, graphing calculators have gone beyond isolated implementations to achieve large-scale success. Two factors appear to contribute to the breadth of this success: a) graphing calculators are useful and usable in a wide variety of settings, and b) the form-factor, cost, and maintenance characteristics of the technology itself are conducive to wide-spread adoption. Research shows that the association between frequent graphing calculator use and high achievement holds true for a wide variety of grade levels, socio-economic backgrounds, geographic locations, and mathematical topics; the finding also holds across states with varied policies and curricula (National Center for Education Statistics, 2001; Ellington, 2003). As a technology, graphing calculators are simple, robust, and relatively inexpensive and they are aligned with curricula, instructional practices, and assessments. Relevant teacher professional development is widely available, and teachers can integrate graphing calculators into their classroom practice gradually, benefiting from concrete enhancements for teaching and learning math at each stage.
Graphing calculators are a rare example of an educational technology with both a research base linking technology use to increased student achievement and a successful large-scale adoption. As a result, graphing calculators have the potential to make a sustainable contribution to improved mathematics learning for all students, especially if they continue to co-evolve with broader reforms in mathematics teaching and learning.
Another major criticism of graphing calculators by school teachers is their ability to store large amounts of text in the same memory that is used to store programs. Such a feature presents a potential for students to cheat on examinations by storing notes and solutions on their calculators. While some enforce a rule by which students must perform a supervised memory clear of their calculator before an exam, this has become an increasingly difficult problem as the variety of available brands and models increases and false memory clear programs are released over the internet to deceive the proctor. In addition, many students use the calculator's memory to store useful programs, particularly those which improve the mathematical functionality of their calculators to be on par with other newer models, and requiring such students to clear their calculator memories would put them at a disadvantage. On the other hand, many courses have disallowed calculators on examinations altogether, and designing the assignment appropriately to purely test conceptual knowledge.
Ellington, A. J. (2003). A meta-analysis of the effects of calculators on students' achievement and attitude levels in precollege mathematics classes. Journal for Research in Mathematics Education. 34(5), 433-463.
Heller, J. L., Curtis, D. A., Jaffe, R., & Verboncoeur, C. J. (2005). Impact of handheld graphing calculator use on student achievement in algebra 1: Heller Research Associates.
Khoju, M., Jaciw, A., & Miller, G. I. (2005). Effectiveness of graphing calculators in K-12 mathematics achievement: A systematic review. Palo Alto, CA: Empirical Education, Inc.
National Center for Education Statistics. (2001). The nation’s report card: Mathematics 2000. (No. NCES 2001-571). Washington DC: U.S. Department of Education.
- Graphing calculators, calculators that are able to display and/or analyze mathematical function graphs.
- NuCalc, a computer software program able to perform many graphing calculator functions.
- Grapher, the Mac OS X successor to NuCalc.
- For the software tool of the same name, see NuCalc.
A typical graphing calculator (Hewlett-Packard HP-49g+ model).
Since graphing calculators are readily user-programmable, such calculators are also widely used for gaming purposes, with a sizeable body of user-created game software on most popular platforms.
History
Casio introduced the graphing calculator with the fx-7000G in 1985. After Casio, Hewlett Packard followed shortly in the form of the HP-28C. This was followed by the HP-28S (1988), HP-48SX (1990), HP-48S (1991), and many other models. The current top-of-the line model, the HP 50g (2006), features a Computer Algebra System (CAS) capable of manipulating symbolic expressions and analytic solving. The HP-28 and -48 range were primarily meant for the professional science/engineering markets; the HP-38/39/40 were sold in the high school/college educational market; while the HP-49 series cater to both educational and professional customers of all levels. The HP series of graphing calculators is best known for their Reverse Polish Notation interface, although the HP-49 introduced a standard expression entry interface as well.Texas Instruments has produced models of graphing calculators since 1990, the oldest of which was the TI-81. Some of the newer calculators are just like it, only with larger memories, such as the TI-82, TI-83 series, (including the TI-83, TI-83 Plus, and TI-83 Plus Silver Edition), and the TI-84 Plus series (including the TI-84 Plus and TI-84 Plus Silver Edition). Other models, designed to be appropriate for students 10–14 years of age, are the TI-80 and TI-73 series. Other TI graphing calculators have been designed to be appropriate for calculus, namely the TI-85, TI-86, TI-89 series, and TI-92 series, (including the TI-92, TI-92 Plus, and Voyage 200). TI offers a computer algebra system on the TI-89 and TI-92 series models with the TI-92 series having a QWERTY keypad. TI calculators are targeted specifically to the educational market, but are also widely available to the general public.
HP and TI are the most popular makes, followed by Casio in third place. Graphing calculators are also manufactured by Sharp but they do not have the online communities and collections of programs like the other brands.
Computer software is also available to emulate or perform the functions of a graphing calculator.
Graphing calculators in schools
Because of their large set of features and ease of use, graphing calculators are very commonly used in schools. Many vendors, especially Casio, market their graphing calculators primarily for educational use. Casio has focused its efforts at the high school/junior college user segment, most of their calculators offering relatively easy-to-use graphing features (some models incorporating a three-color display) without some of the most complex/flexible mathematical functions and programming languages found in the usually more expensive university/engineering calculators. However, an exception to this is the FX 1.0/2.0 series, of which the 2.0 models incorporate a Computer Algebra System (CAS) and a significantly improved version of Casio's BASIC-like calculator programming language. Texas Instruments is Casio's chief competitor in educational graphing calculators.- In the Canadian or American educational systems, many high school mathematics teachers allow and even encourage their students to use graphing calculators in class.
- In Finland, Slovenia and certain other countries, it is forbidden to use calculators with symbolic calculation (CAS) or 3D graphics features in the matriculation exam.
- In Norway, calculators with wireless communication capabilities, such as IR links, have been banned at some technical universities.
- The College Board of the United States permits the use of most graphing or CAS calculators that do not have a QWERTY-style keyboard for parts of its AP and SAT exams, but IB schools do not permit the use of calculators with computer algebra systems on its exams.
- In Australia, policies vary from state to state.
- In Victoria, the VCE specifies approved calculators as applicable for its mathematics exams. For Further Mathematics an approved graphics calculator (for example TI-83/84, CASIO 9860, HP39G) or CAS (for example TI-89, Classpad 300, HP40G) can be used. Mathematical Methods and Mathematical CAS have a common technology free examination consisting of short answer and some extended answer questions. They also each have a technology assumed access examination consisting of extended response and multiple choice questions: a graphics calculator is the assumed technology for Mathematical Methods and a CAS for Mathematical Methods CAS. These two exams have substantial material in common but also some distinctive questions. Specialist Mathematics has a technology free examination and a technology assumed access examination where either an approved graphics calculator or CAS may be used. Calculator memories are not required to be cleared. In subjects like Physics and Chemistry, students are only allowed a standard scientific calculator.
- In Western Australia, all tertiary entrance examinations in mathematics, Chemistry and Physics assume the student has a graphics calculator. However CAS enabled calculators are forbidden (HP 40g), the HP 39G was also banned due to a hack allowing the user to unlock CAS functions.
- In New South Wales, graphics calculators are required in the General Mathematics Higher School Certificate exam, but disallowed in the remaining Mathematics exams.
- In New Zealand, calculators identified as having high-level algebraic manipulation capability are prohibited in NCEA examinations unless specifically allowed by a standard or subject prescription. This includes calculators such as the TI-89 series http://www.nzqa.govt.nz/ncea/acrp/secondary/4/47.html.
Graphing Calculators and Math Learning
Graphing Calculators and Calculus Reform
The relationship between graphing calculators and calculus reform movements across the United States and around the world is one of co-evolution and bi-directional influence. The results of this integral relationship are evidenced in the prominent features common to most graphing calculators today and in the shifted emphasis on topics and approaches in calculus, especially as taught in secondary schools. For most students of the past, the predominant memory of calculus is of procedurally manipulating symbols. Increasingly, educators are creating student experiences that are characterized instead by substantive mental connections between visual representations and conceptual understanding. Graphing calculators have been instrumental to enabling these critical connections. In his 1996 book chapter entitled, Much More than a Toy: Graphing Calculators in Secondary School Calculus, Thomas P. Dick explains why he believes graphing calculators will continue to catalyze important changes in calculus education.To begin with, graphing calculators provide students with a sense of ownership in mathematics by giving them the power to personally create and manipulate graphs and model mathematical principles. This simple but important factor is contributing to a change in the dynamics of calculus classrooms.
Further, enhanced calculator functionalities have been instrumental in enabling a multi-representational approach to calculus education. Standard graphing calculators now provide three linked, canonical views of mathematical constructs: numeric views (using tables and lists), symbolic views (using algebraic expressions and function definitions), and graphical views (function graphs, charts, and scatter plots). Some of the most valuable supports for student learning derived from these new functionalities include depicting graphs at varying levels of magnification, illustrating slope fields, and rapidly calculating sequences of related expressions.
Take for example the concept of the derivative. Students can use a graphing calculator to numerically calculate approximate difference quotients quickly and easily, thereby strengthening their understanding of function approximations. Zooming capabilities within graphs enable students to explore the notion of local linearity—a key property of differential functions and the foundation of so many of the important concepts, results, and applications of calculus. By zooming in on the graph of a differentiable function, it is possible for students to actually see what happens to that function at a particular localization. This visualization helps students to understand the notion of a tangent line as a linear approximation of a function at a given point. Further, students can see that the tangent line is both a unique and optimal linear approximation of a function at a given point. In this way, graphs generated by the technology become a tool for illustrating the meaning of the derivative, rather than the mere output of symbolic calculations of the derivative.
While graphing calculators present an incredible opportunity for students to visualize math concepts, the fact that they are not infinitely precise does present some inherent limitations. Most notably, the discrete nature of calculators means that the visual display of a function partly depends on external factors. For example, in order for a hole in the graph of a function to appear, it must be within the parameters of the screen, and it must fall precisely on a pixel location. Nonetheless, graphing calculators offer truly new tools for teaching and learning calculus—tools that support both affective and cognitive aspects of student learning.
Graphing Calculators in School Mathematics
The success of the graphing calculator in teaching and learning calculus has been followed by a much broader adoption of the technology for other topics in secondary school mathematics, such as algebra and trigonometry. Since the graphing calculator did not co-evolve with reforms in other aspects of mathematics teaching, it is reasonable to question the extent to which the broader use might have a positive impact.In fact, a substantial body of educational research now indicates that graphing calculators can have significant benefits for mathematics learning. Research shows that students using graphing calculators develop flexible strategies for problem solving and a deeper appreciation of mathematical meaning than students who do not use graphing calculators (Ellington, 2003; Khoju, Jaciw, and Miller, 2005). In addition, students who use graphing calculators are better able to understand variables and functions, solve algebra problems in applied contexts, interpret graphs, and move among varied representations—that is from graphs to tables to equations—than students who do not have access to the technology.
A number of findings from large-scale educational studies and meta-analyses illustrate the association between graphing calculators and greater mathematics achievement. Research from the National Progress (NAEP) has consistently shown that at the eighth grade level frequent use of calculators is associated with greater mathematics achievement (Figure 1). Moreover, research shows that teachers and students who used graphing calculators most frequently learned the most. On the NAEP assessment, 8th graders whose teachers reported that calculators were used almost every day scored the highest (NCES, 2001). Similarly, in examining an implementation that aligned graphing technology with a comprehensive math curriculum, Heller found that daily use of graphing calculators is more effective than infrequent use (Heller, 2005).
Unlike many educational technologies, graphing calculators have gone beyond isolated implementations to achieve large-scale success. Two factors appear to contribute to the breadth of this success: a) graphing calculators are useful and usable in a wide variety of settings, and b) the form-factor, cost, and maintenance characteristics of the technology itself are conducive to wide-spread adoption. Research shows that the association between frequent graphing calculator use and high achievement holds true for a wide variety of grade levels, socio-economic backgrounds, geographic locations, and mathematical topics; the finding also holds across states with varied policies and curricula (National Center for Education Statistics, 2001; Ellington, 2003). As a technology, graphing calculators are simple, robust, and relatively inexpensive and they are aligned with curricula, instructional practices, and assessments. Relevant teacher professional development is widely available, and teachers can integrate graphing calculators into their classroom practice gradually, benefiting from concrete enhancements for teaching and learning math at each stage.
Graphing calculators are a rare example of an educational technology with both a research base linking technology use to increased student achievement and a successful large-scale adoption. As a result, graphing calculators have the potential to make a sustainable contribution to improved mathematics learning for all students, especially if they continue to co-evolve with broader reforms in mathematics teaching and learning.
Non-mathematical uses of graphing calculators
The programming features of nearly every major graphing calculator on the market have been exploited to produce games of various sorts. Imitations of Tetris and Pacman are among the most popular. A variety of other non-technical applications have been written for graphing calculators as well. Among these include organizers, phonebooks and text editors. A software solution also exists for using the infrared port on the HP-48 series of calculators as a remote control for televisions, and those calculators with built-in speakers have been transformed into monophonic music sequencers. As a result of such programs, their use in schools has also received a great degree of criticism as it is extremely common to find that students have downloaded non-educational programs onto their calculators, presenting a potential distraction in the classroom.Another major criticism of graphing calculators by school teachers is their ability to store large amounts of text in the same memory that is used to store programs. Such a feature presents a potential for students to cheat on examinations by storing notes and solutions on their calculators. While some enforce a rule by which students must perform a supervised memory clear of their calculator before an exam, this has become an increasingly difficult problem as the variety of available brands and models increases and false memory clear programs are released over the internet to deceive the proctor. In addition, many students use the calculator's memory to store useful programs, particularly those which improve the mathematical functionality of their calculators to be on par with other newer models, and requiring such students to clear their calculator memories would put them at a disadvantage. On the other hand, many courses have disallowed calculators on examinations altogether, and designing the assignment appropriately to purely test conceptual knowledge.
References
Dick, Thomas P. (1996). Much More than a Toy. Graphing Calculators in Secondary school Calculus. In P. Gómez and B. Waits (Eds.), Roles of Calculators in the Classroom pp 31-46). Una Empresa Docente.Ellington, A. J. (2003). A meta-analysis of the effects of calculators on students' achievement and attitude levels in precollege mathematics classes. Journal for Research in Mathematics Education. 34(5), 433-463.
Heller, J. L., Curtis, D. A., Jaffe, R., & Verboncoeur, C. J. (2005). Impact of handheld graphing calculator use on student achievement in algebra 1: Heller Research Associates.
Khoju, M., Jaciw, A., & Miller, G. I. (2005). Effectiveness of graphing calculators in K-12 mathematics achievement: A systematic review. Palo Alto, CA: Empirical Education, Inc.
National Center for Education Statistics. (2001). The nation’s report card: Mathematics 2000. (No. NCES 2001-571). Washington DC: U.S. Department of Education.
See also
- Calculator gaming
- GraphCalc – A free graphical calculator application for Linux and Microsoft Windows
- Personal Digital Assistant (PDA)
- Programmable calculator
External links
- Java based Space-Time Curve Sketcher.
- ticalc.org – A comprehensive archive of TI graphing calculator programs.
- casiocalc.org – A forum for discussing Casio calculators.
- hpcalc.org – Another calculator program archive, but for HP calculators.
- Datamath Calculator Museum – An Internet museum about calculators (with an emphasis on TI's models).
- R/S Programmable Calculators – Another Internet museum about calculators.
- The Museum of HP Calculators – An Internet museum about HP calculators.
- WebGraphing.com – Online Graphing Calculator.
- FooPlot - Web-based graphing calculator project.
- Casio Kingdom – The Casio calculator resource site.
- Behavioural Calculus
- Graphing Calculator 3D – Download or use Online Graphing Calculator 3D.
- Skolob's Hewlett Packard 95LX Palmtop Calculator Page FAQ
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NuCalc, also known as Graphing Calculator, is the name of a computer software tool, made by the company Pacific Tech, capable of performing many graphing calculator functions. It can graph inequalities and vector fields, as well as functions in two, three, or four dimensions.
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Grapher is a software program bundled with Mac OS X v10.4 that is able to create 2D and 3D graphs from simple and complex equations. It includes a variety of samples ranging from differential equations to 3D-rendered Toroids and Lorenz attractors.
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NuCalc, also known as Graphing Calculator, is the name of a computer software tool, made by the company Pacific Tech, capable of performing many graphing calculator functions. It can graph inequalities and vector fields, as well as functions in two, three, or four dimensions.
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graph of a function f is the collection of all ordered pairs (x,f(x)). In particular, graph means the graphical representation of this collection, in the form of a curve or surface, together with axes, etc.
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In mathematics, simultaneous equations, or systems of equations, are a set of equations containing multiple variables. To solve simultaneous equations, the solver needs to use the provided equations to find the exact value of each variable.
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Programmable calculators are calculators capable of being programmed much like a computer.
Since the early 1990s, most of these flexible handheld units belong to the class of graphing calculators.
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Since the early 1990s, most of these flexible handheld units belong to the class of graphing calculators.
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Mac OS X (IPA: /mæk.oʊ.ɛs.tɛn/) is a line of graphical operating systems developed, marketed, and sold by Apple Inc., the latest of which is pre-loaded on all currently shipping Macintosh computers.
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Calculator gaming is the phenomenon of programming and playing games on programmable calculators, especially graphing calculators. It is largely a pastime of high school and college students, who generally are required to use such powerful calculators in advanced mathematics
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Casio Computer Co., Ltd.
カシオ計算機株式会社
Public ( Casio on TSE )
Founded Tokyo (1946)
Headquarters Tokyo, Japan
Key people Kazuo Kashio, President
Industry Electronics
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カシオ計算機株式会社
Public ( Casio on TSE )
Founded Tokyo (1946)
Headquarters Tokyo, Japan
Key people Kazuo Kashio, President
Industry Electronics
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The Casio fx-7000G is notable for being the first graphing calculator.
Introduced October 1985
Size 6.5" x 3.5" x 0.6"
Batteries 3×"CR-2032" Lithium
Precision 13 digits
Memories 78(26) numbers
Program memory
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Introduced October 1985
Size 6.5" x 3.5" x 0.6"
Batteries 3×"CR-2032" Lithium
Precision 13 digits
Memories 78(26) numbers
Program memory
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Year 1985 (MCMLXXXV) was a common year starting on Tuesday (link displays 1985 Gregorian calendar).
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Year 1985 (MCMLXXXV) was a common year starting on Tuesday (link displays 1985 Gregorian calendar).
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Hewlett-Packard Co.
Public (NYSE: HPQ )
Founded Palo Alto, California (1939)
Headquarters Palo Alto, California, USA
Key people Bill Hewlett, Co-founder
David Packard, Co-founder
Mark V.
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Public (NYSE: HPQ )
Founded Palo Alto, California (1939)
Headquarters Palo Alto, California, USA
Key people Bill Hewlett, Co-founder
David Packard, Co-founder
Mark V.
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A computer algebra system (CAS) is a software program that facilitates symbolic mathematics. The core functionality of a CAS is manipulation of mathematical expressions in symbolic form.
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Reverse Polish notation (or just RPN) by analogy with the related Polish notation, a prefix notation introduced in 1920 by the Polish mathematician Jan Łukasiewicz, is a mathematical notation wherein every operator follows all of its operands.
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Texas Instruments
Public (NYSE: TXN )
Founded 1930 (as GSI), 1951 (as TI)[1]
Headquarters Dallas, Texas, USA
Key people Tom Engibous, Chairman
Rich Templeton, President & CEO
Kevin March, CFO
Brian Bonner, CIO
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Public (NYSE: TXN )
Founded 1930 (as GSI), 1951 (as TI)[1]
Headquarters Dallas, Texas, USA
Key people Tom Engibous, Chairman
Rich Templeton, President & CEO
Kevin March, CFO
Brian Bonner, CIO
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20th century - 21st century
1960s 1970s 1980s - 1990s - 2000s 2010s 2020s
1987 1988 1989 - 1990 - 1991 1992 1993
Year 1990 (MCMXC) was a common year starting on Monday (link displays the 1990 Gregorian calendar).
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1960s 1970s 1980s - 1990s - 2000s 2010s 2020s
1987 1988 1989 - 1990 - 1991 1992 1993
Year 1990 (MCMXC) was a common year starting on Monday (link displays the 1990 Gregorian calendar).
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The TI-81 is the oldest graphing calculator made by Texas Instruments. It was designed in 1990 for use in algebra and precalculus courses. Since its original release, it has been superseded several times by newer calculators - the TI-82, the TI-83, the TI-83 Plus,TI-83 Plus Silver
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Static random access memory (SRAM) is a type of semiconductor memory. The word "static" indicates that the memory retains its contents as long as power remains applied, unlike dynamic RAM (DRAM) that needs to be periodically refreshed (nevertheless, SRAM should not be
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TI-82 is a graphing calculator made by Texas Instruments. The TI-82 was designed in 1993 as a stripped down, more user friendly version of the TI-85, and as a replacement for the TI-81. It was the direct predecessor of the TI-83.
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The TI-83 series of graphing calculators is manufactured by Texas Instruments. The original TI-83 is itself an upgraded version of the TI-82. Released in 1996, it is one of the most used graphing calculators for students (especially those in middle school or higher).
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The TI-84 Plus is a graphing calculator made by Texas Instruments that came out in the spring of 2004. There is no original TI-84, only the TI-84 Plus and TI-84 Plus Silver Edition models. It is an enhanced version of the TI-83 Plus.
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TI-80 is a graphing calculator made by Texas Instruments. It was originally designed in 1995 to be used at a middle school level (grades 6-9).
The TI-80 featured the smallest screen and slowest processor (980 kHz proprietary) of any TI graphing calculator.
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The TI-80 featured the smallest screen and slowest processor (980 kHz proprietary) of any TI graphing calculator.
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TI-73 series are graphing calculators made by Texas Instruments.
The original TI-73 was originally designed in 1998 as a replacement for the TI-80 for use at a middle school level (grades 6-9).
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The original TI-73 was originally designed in 1998 as a replacement for the TI-80 for use at a middle school level (grades 6-9).
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Calculus (Latin, calculus, a small stone used for counting) is a branch of mathematics that includes the study of limits, derivatives, integrals, and infinite series, and constitutes a major part of modern university education.
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The TI-85 is a graphing calculator made by Texas Instruments based around the Zilog Z80 microprocessor. Designed in 1992 as TI's second graphing calculator (the first was the TI-81), it has since been replaced by the TI-86.
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The TI-86 is a programmable graphing calculator introduced in 1997 and produced by Texas Instruments. The TI-86 uses the Zilog Z80 microprocessor. It is partially backwards-compatible with an older model, the TI-85.
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The TI-89 and the TI-89 Titanium are graphing calculators developed by Texas Instruments. They are differentiated from other graphing calculators by their powerful computer algebra system, which allows symbolic manipulation of algebraic expressions.
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TI-92 calculator, originally released in 1995, was a large calculator with a QWERTY keyboard. Because of this keyboard, it was given the status of a "computer" rather than "calculator" by American testing facilities and cannot be used on tests such as the SAT or AP Exams, while the
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QWERTY (pronounced /kwɜːti/) is the most common modern-day keyboard layout on English-language computer and typewriter keyboards.
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