# linear2 3.0 APK

3.0 / July 5, 2012

## Description

Here is a painless way for the algebra student to developproficiency in solving simultaneous linear equations. Here is adrill program that leads the student through 8 steps to solve 2simultaneous linear equations with 2 unknowns. These 8 steps wouldbe a tedious exercise with pencil and paper. Even worse, a singleerror at one of the steps would not be detected until the problemwas finished, and the student would be left with the unpleasantexercise of re-doing the whole problem in order to find out whatwent wrong. This app (Linear2) will check each of the 8intermediate steps and provide immediate feedback to the student.The values of the 2 unknowns and the 4 coefficients in theequations are randomly generated so that there are several hundredthousand possible combinations, and it is extremely unlikely thatthe student will see the same problem twice. This new version (2.0)is a little more user friendly and prevents crashes from faultyuser input.

## App Information linear2

• App Name
linear2
• Package Name
linear2.test
• Updated
July 5, 2012
• File Size
273k
• Requires Android
Android 1.6 and up
• Version
3.0
• Developer
Peter Gottlieb
• Installs
1,000+
• Price
Free
• Category
Education
• Developer
600 Sharon Park Drive Apt B205 Menlo Park, CA 94025

div2 2.0 APK
Long division need not be the traumatic learning experience for 4thand 5th graders. This app (div2) does all the tediousmultiplications and subtractions, leaving the student to learn andpractice the basic long division skills of correctly guessing eachdigit of the quotient (answer) and testing whether it is correct.An additional benefit is the feedback that is provided after eachquotient digit. The long division exercises in this app are carriedto 2 decimal places (hence the name div2). The user can specify thenumber of digits in the dividend (the number divided into) and thedivisor. The divisor and dividend are randomly generated integers,so the user will never see any problem more than once. The randomnumbers of divisor and dividend may sometimes be such that thedivisor goes evenly into the dividend, in which case the quotientmay end in one, or more zeros.If long division is done the oldfashioned way (with pencil and paper) the student must struggle foreach digit of the quotient, multiplying his guess by the divisorand then subtracting the product to test whether his/her guess iscorrect and to get the difference for determining the next quotientdigit. If the student has guessed wrong, the whole step ofmultiplication and subtraction must be repeated over again. Worsestill, the student may fail to detect the error of an incorrectguess, and the error will propagate through the rest of thesolution. When the answer is scored (by the teacher, or someone)the hapless student must go back through the entire process todetermine what went wrong. This app will develop proficiency in thekey long division skill of guessing the correct quotient digit.When the student is faced with a long division exam problem thatmust be done with pencil and paper, this proficiency will enablehim/her to avoid wasting time multiplying incorrect quotient digitsby the divisor, when the correct digit could be guessed to beginwith. The instructions in this div2 app provide a set of rules thatwill guarantee that the user never requires more than 2 guesses forany quotient digit; half the time these rules will even give thecorrect guess on the first try. If you have a 4th or 5th graderstruggling with long division, you will find this app to be alife-saver. Of course, the student who is having trouble withmultiplication and subtraction should master these fundamentalskills first (see my apps “multables” and “sub3”). Oncemultiplication and subtraction are mastered, this app will avoidthe boring exercise of these skills while trying to master longdivision.
sub3 6.0 APK