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MERLOT Search  materialType=Simulation&category=2513&createdSince=20121014&sort.property=dateCreated
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Trigonir App for iPad
http://www.merlot.org/merlot/viewMaterial.htm?id=881519
'Trigonir© is a product of a long lasting career in education. Teachers of mathematics have long been searching for a way to present trigonometric functions to students in an easy to understand yet professional manner, since the expression sine alone tends to evoke a feeling of discomfort among quite a few students.This learning aid is the result of this consideration and has already been tested in various schools in Europe. Trigonir© brings forth a new, creative and interesting approach to analyzing and using trigonometric functions, which renders them understandable to all students, including those, who are not very fond of mathematics.Trigonir© is comprised of two planes that are connected and movable. The bottom plane has the unit circle, angles from 0° to 360°, the tangent and cotangent axis as well as the values of trigonometric functions for basic angles inscribed on it. Red color is used to emphasize the negative values of trigonometric functions.The upper plane has only one axle inscribed on it and can be moved circularly in order to determine various attributes of trigonometric functions for various angles.Trigonir© enables us to determine the following properties of trigonometric functions:  domain and co domain of functions,  zeros of functions, points where a function is not defined , increasing and decreasing of the function, positive/negative values, periodicity, evenness and oddness of a function,  accurate value of basic angles, and properties of inverse functions (arcsin α, arccos α , arctan α , arccot α).The objectives of the learning aid Trigonir© are: less time spent on handling trigonometric functions, a more interesting presentation of the subject, a more active involvement of students during lessons, and making studying easier and more independent.'This app costs $1.99

Touch Natural Numbers App for Android
http://www.merlot.org/merlot/viewMaterial.htm?id=864906
Small interactive laboratory of Natural Numbers:The Prime numbers are the building blocks of the numbers.With this app you can:Analyze the factors of a Composite number.Build a Composite number from its factors. (multiplication and division of Natural Numbers)Localize or select a number in the Ulam Spiral.(Only the Prime Numbers have a color in this spiral).Verify all the possible products between Primes in a composite number with the Parabolic Sieve.Analyze or build a number with the Place Value activity (Addition and Subtraction of Natural Numbers)Understand the Modulo of a number.This is a free Android math app. No ads.

3D Fractals using Biocomplex Dynamics
http://www.merlot.org/merlot/viewMaterial.htm?id=855086
The Tetrabot is the complex generalization of the Mandelbrot set as realized by Dr. Dominic Rochon. His website features a collection of his written academic work about fractals that has appeared in articles, journals, and textbooks. In addition, he provides pictures, news, and other downloads.

Whole Calculator App for Android
http://www.merlot.org/merlot/viewMaterial.htm?id=850283
Calculator in the set of the natural numbers (ℕ). And is able to write all the natural numbers with words.When the result leaves the set of natural numbers, this calculator points to the need of to upgrade to a calculator with more features. ( ℤ calculator or ℚ calculator).Type the numerical operations and results in words.Writing numbers :The app writes correctly from from the one (10^0) until the centillion (10^303).This is a free app.

NewtonRaphson Root Finder
http://www.merlot.org/merlot/viewMaterial.htm?id=827001
A Java implementation of the NewtonRaphson method used to find roots of realvalued functions.

Graphical representation of eigenvectors
http://www.merlot.org/merlot/viewMaterial.htm?id=821150
The Graphical representation of eigenvectors simulation aims to help students make connections between graphical and mathematical representations of eigenvectors and eigenvalues. The simulation depicts the two components of a unit vector in the xyplane, and the same vector under several different transformations that can be chosen by the user. A slider allows students to change the orientation of the initial vector. The simulation shows whether or not the vector is an eigenvector, and if so displays the associated eigenvalue. The simulation includes a small challenge in asking students to find the elements of one of the transformation matrices 4. An accompanying activity for this simulation is available at http://quantumphysics.iop.org and at www.standrews.ac.uk/physics/quvis. The simulation can be downloaded from the QuVis website www.standrews.ac.uk/physics/quvis.This simulation is part of the UK Institute of Physics New Quantum Curriculum, see http://quantumphysics.iop.org. Simulations and accompanying activities can be accessed from the IOP site and from www.standrews.ac.uk/physics/quvis. Sharing of these resources is encouraged, with all usage under the Creative Commons CC BYNCND licence. Instructors can email quantumphysics@iop.org for activity solutions and to request to modify materials.

Graphical representation of complex eigenvectors
http://www.merlot.org/merlot/viewMaterial.htm?id=821153
The Graphical representation of complex eigenvectors simulation aims to help students make connections between graphical and mathematical representations of complex eigenvectors and eigenvalues. The simulation depicts two components of a complex vector in the complex plane, and the same vector under several transformations that can be chosen by the user. A slider allows students to change the second component of the initial vector. The simulation shows whether or not the vector is an eigenvector, and if so displays the associated eigenvalue. The simulation includes a small challenge in asking the student to find the elements of one of the transformation matrices. An accompanying activity for this simulation is available at http://quantumphysics.iop.org and at www.standrews.ac.uk/physics/quvis. The simulation can be downloaded from the QuVis website www.standrews.ac.uk/physics/quvis.This simulation is part of the UK Institute of Physics New Quantum Curriculum, see http://quantumphysics.iop.org. Simulations and accompanying activities can be accessed from the IOP site and from www.standrews.ac.uk/physics/quvis. Sharing of these resources is encouraged, with all usage under the Creative Commons CC BYNCND licence. Instructors can email quantumphysics@iop.org for activity solutions and to request to modify materials.

Matrix Multiplication
http://www.merlot.org/merlot/viewMaterial.htm?id=821148
The Matrix Multiplication simulation aims to help students learn how to multiply two matrices and what conditions need to be fulfilled for the product of two matrices to exist. Students can choose different dimensions for matrices A and B, and the product C=AB is displayed if it exists. Student can select an element of the matrix C to see how it is calculated. An accompanying activity for this simulation is available at http://quantumphysics.iop.org and www.standrews.ac.uk/physics/quvis. The simulation can be downloaded from the QuVis website www.standrews.ac.uk/physics/quvis.This simulation is part of the UK Institute of Physics New Quantum Curriculum, see http://quantumphysics.iop.org. Simulations and accompanying activities can be accessed from the IOP site and from www.standrews.ac.uk/physics/quvis. Sharing of these resources is encouraged, with all usage under the Creative Commons CC BYNCND licence. Instructors can email quantumphysics@iop.org for activity solutions and to request to modify materials.

ANOVA applet
http://www.merlot.org/merlot/viewMaterial.htm?id=796928
This applet displays boxplots of independent random samples drawn from 4 populations and an ANOVA table for the comparison of the population means. The user can adjust sliders to change the means and standard deviations of the populations. As this happens, new samples are chosen and the boxplots and ANOVA table are updated. The applet includes a pie graph that shows the proportions of within and between group variation and a graph of the F distribution displaying the area corresponding to the pvalue. These are also updated as the samples change.

Apples And Oranges 1 Decimal App for Android
http://www.merlot.org/merlot/viewMaterial.htm?id=794866
This application is a basic tool for teaching algebra.Trying to solve a system of linear equations with two equations and two unknown variables. (Two purchases)It contains:. A button that generates new questions (״two new purchases of fruits״).. Two dropdowns to select a solution and a button to verify: The verification button checks the solution, and adds it to the list of the session.You can edit the statements. The program checks if the determinant of the proposed statement is nonzero.. The 5 tools to help resolve the problem:* Tool 1: GaussJordan elimination:The two equations are represented as two purchases of fruits.Contains tools to add one column to another, multiply, divide and change the sign for to get to have one apple on a side and and an orange at the other.The result of the two additions are the values of apple and orange.* Tool 2: Graphic:Contains a graphic frame and 2 dropdowns to find the solution, using the method essay / error.The problem posed is a linear system of equations, so the results must be ever into two lines that intersect.To get the answer, one should find this point.You can also click directly on the chart.The graph is divided by the diagonal.Below the diagonal, apple values are entered, for to get the values of the orange.Above the diagonal, one enters the price of the orange.The meeting point of the two lines is represented by a yellow dot.* Tool 3: Two weighing scales:Shows two weighing balances. On the left, due to its dropdown, which determines the value proposed for apples: results gives the price of oranges in terms of the two equations.The right hand scale gives the results from the proposed price for oranges.When a scale is balanced, gives the results of both the price of the apples and oranges.* Tool 4: Cramer's Rule:This tool solves the problem at once.Contrary to what happens in other tools, here we have to manually enter the data of the problem. The two equations (two purchases) are represented in horizontal rows.If you have not entered data, the tool warns that you can not solve the problem.It can also warn when the determinant is zero:The determinant is zero when the two lines that we saw in the graphical tool, are not crossing. This happens when they are parallel. And the lines are parallel when a purchase (equation) is linear function of the other. (eg 1 A + 2 O =n1 and 2 A + 4 O = n2)The program automatically never generates such problems.* Tool 5: Inverse matrix:The tool represents the terms of the equation automatically and in landscape format (each purchase is a row)The resolution tool there are the terms of the two equations on the left and the identity matrix at right.The objective is to calculate the inverse matrix.This is achieved by operating the rows, until the data from the equations (on the left) become the identity matrix.At this time to the right we have the inverse matrix.The multiplication of the results vector by the inverse matrix gives the solution.This app costs $1.25