Sketch2Go - encourages visual exploration of phenomena by providing qualitative indication of the ways in which the sketch drawn by the user changes. The sketch is a diagrammatic representation that attempts to help the viewer focus on the principles rather than on tedious details of the represented phenomenon. Phenomenon can refer to processes outside of mathematics (e.g., physical temporal phenomena) or to mathematical phenomena (e.g., a function with three extrema). Moving students beyond plotting and reading points to interpreting the global meaning of graphs and the functional relationships that they describe has been identified as a major goal of mathematics education.

Tools like Sketch2Go enable the bypassing of algebraic symbols as the only channel into mathematical representation, and motivate students to experiment with a given situation, analyze it, and reflect upon it, even when the situation is too complicated for them to approach symbolically. The visual analysis that emerges from work with such tools is different from that which arises from work with algebraic symbols or numerical tables.

Features

Sketch2Go is a qualitative graphing tool. Graphs are sketched using seven icons representing constant, increasing, and decreasing functions that change at constant, increasing, or decreasing rates. It is based on original R&D carried out by Schwartz and Yerushalmy (1995) and Shternberg & Yerushalmy (2001), who propose an intermediate bridging representation based on the function and its vocabulary. The seven graphic icons describe the change in both the function and its rate of change. Sketch2Go is a version of the Qualitative Derivative Grapher programmed by Alexander Zilber for CET (Centre for Educational Technology).

Mathematical modeling cannot be fully accomplished by this qualitative sign system of constant, increasing, and decreasing functions. But the set of seven signs supports forming a mathematical construction with language developed from acquaintance with physical scenarios, helping lay the foundations of learning pre-calculus and calculus. Sketch2Go supports the abstraction of everyday phenomena using a small set of mathematical signs that can be manipulated on screen as semi-concrete objects.

Suggested Activities

a modeling problem

a car is moving at a speed of 20 meters per second when the driver sees a ball rolling on the road. The driver's reaction time is one second (reaction time is the time that passes between identifying the ball and pressing the brakes.) During that time the car continues at its constant speed. After the driver presses the brakes, the car decelerates for 7 seconds until it stops.

* Describe in a graph the distance the car traveled during from the time the driver saw the ball until the car stopped.
* What does the lower graph describe in this story?
* How would your graph change in each of the following situations: (1) the driver drove faster; (2) the driver was drunk; (3) it was a rainy day.

Using sketches to prove derivative rules

Sketch examples of functions that would fulfill the constraints listed below.

Write the properties that the functions represent or argue why you could not find such functions:

* Continuous functions whose derivatives are increase monotonically
* Continuous functions that have derivative functions with exactly a single maximum
* Continuous functions with derivative functions that have a discontinuity or some sort
* Functions with discontinuity that have continuous derivative functions
* Functions that have continuous derivative functions and a second derivative with discontinuity

Requirements:· Java Enabled (J2ME) Phone - Profile/MIDP-2.0 Configuration/CLDC-1.1
· Screen Resolution: 128 x 96 and above

Other Java Freeware of Developer «Math4Mobile»:

Solve2Go Solve2Go - supports solving equations and inequalities by means of conjectures based on visual thinking. Conjectures can be refuted or supported by examples provided by the tool, and should be proved using symbolic manipulations on paper.
Equations: when we want to know for which values of x the two functions are equal

Quad2Go Quad2Go - Explorations with Quad2Go are especially appropriate for 11-12 year old students. Teaching geometry to students of this age focuses on the critical attributes of quadrilaterals and on the hierarchical relations among them. Learning means identifying critical attributes and non-critical attributes

Fit2Go Fit2Go supports exploration and modeling activities. It supports data collection by proposing a model that can appropriately describe the user's data. The tool highlights the numeric aspects of a phenomenon. Together, Sketch2Go and Fit2Go provide a comprehensive view of models and modeling

Graph2Go Graph2Go - 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

Complex Numbers Calculator Using the complex numbers calculator the answers to algebra problems covering this topic is only as far as your mobile phone

TouchMaths TouchMaths - The full version of TouchMaths programm (for touchscreen mobile phones) is a revolutionary mathematical tool for mobile phones. The program is must-have for students, engineers and researchers

sodBrain MathEasy sodBrain MathEasy is a brain-trainer, a free java-based mobile application that allows you to accelerate your brain by solving basic mathematical and logical problems

Scientific Calculator Scientific Calculator - Scientific Calculator for Your Mobile Phone. Use this scientific calculator to evaluate complex
Description
Our scientific calculator enables to you calculate the value of complex expressions directly using your mobile phone

Linalgo Linalgo - offers basic functionality for linear algebra, such as determinant, rank, matrix addition and multiplication, inverse matrix, LU-Decomposition as well as solving linear systems.
What's New in This Release:
· Migrated from NetBeans to pure source code.
· Matrices can be edited in ONE window. No switching is needed to change a value anymore

QWERTY Convert QWERTY Convert - QWERTY Convert is a utility targeted towards smart phones that come with a full keyboard. The utility enables easy dialing of vanity numbers, such as 1800-Flowers from a full non-alphanumeric keyboard, such as the one found on your blackberry

TouchMaths_ME The program TouchMaths (for touchscreen mobile phones) contain a set of revolutionary mathematical applications (Professional Calculator, Graph 2D, Function solver, Integral solver, Equation solver and Linear system solver)

PRIMElet A simple application for integer operations.
Factorization, Primality Testing, modPower, modInverse, Next Pr. Prime, Random

GraphViewer GraphViewer - You have a modern, Java compatible mobile phone and wouldn't it be handy if you could use your mobile to plot functions or use as an advanced scientific calculator? Well, GraphViewer is a graphical calculator that you can download and install on your mobile phone

Comments on Sketch2Go:

Comments not found

JavaMobiles - Free Java games download for mobile phones. Java Applications, Software, JAR, Apps for Nokia, Samsung, touch screen, 240x320 screen