Graph2Go 0.84
 Graph2Go is a special-purpose graphing calculator that operates for given sets of function expressions. Graph2Go es una calculadora graficadora de propósitos específicos que opera para un conjunto de expresiones de funciones.

### Description

Graphing calculators are instrumental in teaching and learning mathematics. It is an environment that supports conceptual understanding of functions in general, and school algebra and real analysis in particular. Especially, it enhances connections between graphic and symbolic representations. A major objective of algebra teaching is equipping learners with tools to mathematize their perceptions. A multi-representational approach has the potential to shift the focus of solving even traditional problems from assigning and solving for an unknown to analyzing the various processes and relations among those processes. The integration of multiple representations of function creates opportunities for developing a wider range of solution methods to traditional problems. Zooming in on the use of the graphing calculator, researchers point on four patterns and modes of use: computational tool, data analysis tool, visualizing tool, and checking tool.

Dynamic transformations are a unique facility of Graph2Go.

Dynamic control involves the direct manipulation of an object or a representation of a mathematical object. As the driving input is the letter-symbolic one, the transformations are carried out on the numbers involved in the function’s expression. Thus, by parameterizing an example we turn it into a family of functions. Research suggests that the kinesthetic relation between the user and the object on the screen can have an important role in developing a deeper understanding of the mathematical concept.

### Features

Basic features of Graph2Go:

• Graphs of single variable function expressions.
• Dynamic graphing of transformed expressions.
• Points of interest (maximum, minimum, inflection_ are marked and their numerical values are presented.
• Graph and expression of the derivative function.
• Graph, expression of the integral function’s family.
• Area expressed by the integral of a given function.
• Zooming and rescaling options.

Graph2Go is a special purpose graphing calculator that operates for given sets of function expressions. Additional sets will become available for downloading from this site. The given families of function expressions and the tools that support easy changes of any given example have been designed for fast and easy use with the small keyboard.

### Suggested Activities

Below is an interesting example that combines the use of visual thinking with an analytic task and has the potential to enhance procedural operations with conceptual understanding:

Prove or refute each of the following statements.

Explain and demonstrate your method and answer using Graph2Go, paper and pencil, or mental operations

• The derivative of a family of functions cannot be a single function.
• [k*f(x)]‘ is equal to k*[f(x)]‘
• [k*(f(x)]‘ is equal to [f(kx)]‘

If you study calculus with the support of graphing calculators, see the AP (Advanced Placement) calculus site for examples of calculus assessment problems (carried out with or without graphing tools).

### Descripción

Las transformaciones dinámicas como facilidad particular de Graph2Go.

El control dinámico permite la exploración tanto de un objeto matemático como de su representación. Así como en la entrada variable, se opera con una letra como símbolo, las transformaciones también pueden llevarse a cabo sobre los números que dan valores a la expresión de la función. Así, al parametrizar un ejemplo, estaremos operando sobre una familia de funciones. Las investigaciones sugieren que la relaciòn de dinamismo que el usuario puede establecer con el control casi inmediato del resultado de sus intentos, plasmados en esa representación que se vuelve objeto en la pantalla, juega un rol crucial en la índole de las prácticas y el grado de comprensión de los conceptos matemáticos involucrados.

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### Características

• Graficar funciones en relaciòn con expresiones de una variable.
• Trazar dinámicamente el gráfico de expresiones en la medida que se las transforma.
• Señalar los puntos correspondientes a máximos, mínimos y puntos de inflexión y exponer sus valores.
• Representar gráficamente una expresión y su función derivada.
• Trazar gráfica y simbólicamente la familia resultante de integrar una función.
• Expresar el área correspondiente a una integral definida de una función.
• Escalar y acercar con efectos de zoom los gráficos.

Graph2Go es una calculadora graficadora de propósitos específicos que opera para un conjunto de expresiones de funciones. Próximamente, estarán disponibles conjuntos adicionales que podrán descargarse de esta página. Las familias de funciones ofrecidas y las herramientas que respaldan las modificaciones a las que puede someterse con facilidad cualquier ejemplo, se diseñaron para hacer posible un manejo ágil con el reducido teclado disponible.

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