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## Description

## App Information linear2

- App Namelinear2
- Package Namelinear2.test
- UpdatedJuly 5, 2012
- File Size273k
- Requires AndroidAndroid 1.6 and up
- Version3.0
- DeveloperPeter Gottlieb
- Installs1,000+
- PriceFree
- CategoryEducation
- Developer600 Sharon Park Drive Apt B205 Menlo Park, CA 94025
- Google Play Link

# Peter Gottlieb Show More...

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

Most 2nd and 3rd graders struggle with subtraction problems thatrequire borrowing. Having to strike-through numbers and then stacknew numbers above them is a confusing process that leads tofrustration and under achievement. Here is the answer: let thestudent step through a prompted sequence and be checked as he/shegoes. Let the student concentrate on the essential arithmeticwithout having to worry about doing neat strike-through's andlining up columns of new numbers. Your child/student willappreciate the neat tableau that is generated as he/she follows theprompts and answers the questions. The prompts consist of either ayes/no question regarding whether a particular column needs toborrow or question marks where the new numbers should be in thenormal borrowing tableau (“?” if a single digit answer is expected,and “??” if a 2 digit answer is expected). The question marks areautomatically replaced by numbers entered from the virtual numerickeypad occupying the lower part of the screen. If the studentaccidentally presses the wrong numeric key, it can be erased by the“del” key and re-entered. All numeric entries are committed bytapping the “done” virtual key. If the student commits an incorrectanswer, the error count is incremented, and he/she is instructed totry again. The student cannot proceed to the next step until thecorrect answer (numeric value or yes/no). When the problem iscomplete both the student and the teacher/parent can see if anyerrors were made (and corrected) along the way before arriving atthe final answer. Doing a sequence of exercises without errors willdemonstrate that the skill has been mastered. Most arithmeticprograms follow the “electronic flashcard” paradigm: just presentthe problems for the student to work and score the response whenthe student is finished. This leaves the student to strugglethrough the solution with pencil and paper. If the student finallyenters an incorrect answer, and the computer tells him so, thestudent has no idea what went wrong. In contrast sub3 providesprompts that present the student with a sequence of challenges andimmediate feedback after each step. A tedious exercise is turnedinto a fascinating game. Another advantage of sub3 is that thenumbers for each problem are generated randomly so the student willnever see the same problem twice. The extensive instructionsincluded with this app provide comprehensive descriptions of allthe steps involved in subtraction with borrowing, which will be agreat help for the parent who needs to supplement what the studenthas learned in the classroom. This initial, free, version of theprogram uses only 3 digit numbers (hence the name sub3), whichshould provide sufficient problem variety to ensure the developmentof excellent student skills. If several thousand people install thefree app, I will provide an extended version to allow the user tochoose a larger number of digits, and charge a few dollars.

factorit 2.0 APK

Here is the best tool for improving a student's skill at factoring.The app presents a target number to be factored, and the studentresponds by entering a prime factor (2, 3, 5, 7, 11) of thatnumber. For example, if the initial target number is 210 (2*3*5*7),and the user enters 5, the app will do the division and respondwith the partial factoring 42*5, and the user is prompted to entera factor of the new target, 42. The process repeats until theoriginal number (210 in this case) is completely factored. If, atany step, the user enters a number that is not a prime factor ofthe target number, an error is charged and the user is prompted tore-enter a correct factor. When the factoring is complete the appdisplays the number of errors. This automatic, real-time, scoringsaves the teacher, or tutor, the trouble of correcting theexercises, and provides the student with immediate feedback. A veryefficient process for all concerned.The app can be set up to run aspecified number of problems, and will keep a tally of the numberof errors. This automatic scoring saves the teacher, or tutor, alot of trouble. The other adjustable parameters are the number offactors in the original problem (2 through 5) and the maximum primefactor (5, 7, 11, or 13). The instructions give all the essentialtips to help the student find a factor correctly the first time(avoiding being charged with an error) without the bother of ashort division exercise to test it. Since the app does all thedivision, the student can concentrate on getting the factors. Thiswill sharpen his/her skills, even in the midst of all thedistractions that modern youth is subject to.

quickview 5.0 APK

Can you read a number that's flashed on the screen for only a fewmilliseconds? This game will start with a few hundred millisecondsand reduce the duration until you can no longer enter the numbercorrectly. You can select the number of digits; 3 is very easy; 5is very hard. Practice and notice the improvement. Find the time ofday when our visual acuity and ability to concentrate is highest.Test your skill against friends and family; it will be rewardingactivity for ages 8 and up. This initial version is free, but notvery slick; if it generates sufficient interest, I will add manyfeatures (such as keeping statistics on scores and for differentplayers) and charge a few dollars.

Solvequad 2.0 APK

Here is a drill program that will improve the essential skills forany intermediate algebra student. This is an exercise in thefactoring of quadratic expressions. Such an expression can bewritten as the product of 2 factors, each factor consisting of 2terms: an x to the first power term and a constant term. In theSolvequad app these 4 coefficients are randomly chosen integersfrom 1 to 6. The top/first line of the Solvequad screen presentsthe quadratic expression. The second line shows the skeletons ofthe 2 factors that produce this expression, with 4 blank graybuttons for the 4 unknown coefficients. The user enters the numbersfor these coefficients using the virtual keypad. This keypad hasonly the needed digits, 1 – 6, a minus sign, a delete key and adone key. The small number of keys means that the individual keyscan be nice and large, minimizing entry errors. Accidental errorsthat do occur can be quickly corrected with the delete key. Theselection of the coefficients to enter is made either by tappingthe appropriate gray button, or by tabbing through the 4buttons.The third line on the screen shows the quadratic expressioncalculated as the coefficients are entered. This automaticcalculation saves the user the trouble, so that he/she canconcentrate on deciding which values to enter for the coefficients.After all 4 coefficients have been entered the student can comparethe calculated quadratic expression in the third line with theproblem quadratic expression in the first line. Any discrepanciescan be corrected by re-entering the any of the coefficients of thefactors. (second line of the screen). The done key is tapped whenthe user is satisfied that the first and third line quadraticexpressions are the same. If the expressions are not the same theuser is charged with an error and is told to re-enter the factorcoefficients until the correct quadratic expression is calculated.This policy makes if easy for the student to avoid errors. The realstrategy is to finish quickly by doing the correct coefficientcalculation mentally so that there is no need to re-enter. Thecurrent version of the program does not track the completion time,but that capability can be added if there is sufficient interest.Factoring a quadratic expression leads directly to solving for the2 roots of the equation made by setting the quadratic expressionequal to zero (values of x that make the quadratic expression equalto zero), hence the app name: Solvequad. The quadratic expressionwill equal zero when either of the 2 factors equals zero, so theroots of the quadratic expression are the 2 values of x that willmake either of the 2 factors equal to zero. To the student ofintermediate algebra this last step (solving a simple linearequation in one unknown) is trivial; it is left out of this app tolimit the app to one process/algorithm and to avoid boring the userwith trivia.

myformulas 5 APK

This app is for anyone who has to calculate formulas: high schooland college students in science, engineering, or business courses,as well as teachers or practitioners in any of these fields whoneed to get quick results when they are not near their computer. Itwill handle a wider variety of formulas than most hand-heldcalculators, particularly formulas for which you want to use namedvariables and change their values frequently. Not only is this appeasier to use than most hand-held calculators (being able to useparentheses rather than the tricky reverse Polish format requiredby most HP machines), it is also easier to use than the formulaediting feature of a spreadsheet. Entering formulas is a snap: allyou have to do is type in characters as you would with a texteditor; the program parser will identify any variables and set up ascreen for you to enter their values. Alphabetic and numericcharacters are entered on different keypads in order to provide youwith larger keys to minimize data entry errors. Close integrationmakes switching between these keypads very fast and easy. Once youhave entered a formula structure, and the initial values for anyvariables it might have, you can name and store it for future use.You can scroll through the list of stored formulas and recognize byname or formula structure any that you want to re-use. Business orfinancial users will find this app a good complement to thecalc_formulas app (by the same author and available for free),which allows the user to select from a list of 27 frequently usedfinancial formulas, but does not have the capability to create newformulas. The only deficiency in “myformulas” is the absence of abuilt-in function library. If more than 1000 people will pay $2.50for this version, I will produce a slightly more expensive versionwith a function library more complete than any spreadsheet.

linear1 3 APK

This app raises the algebra drill program to a whole new level.Instead of simply presenting the problem and leaving the student towork out the steps on paper, the student is lead through asuccession of steps, with instant feedback at each step. In thismanner the student can quickly identify and understand his/hererrors. The student also avoids the tedium of writing out theintermediate equations corresponding to these steps and worryingabout keeping the equations neat and having enough space on thepaper. The instructions with this app also provide a nice tutorialon the subject.This app deals with a simple type of algebraproblem: one linear equation in one unknown. This type of equationis a first step in the solution of many word problems; it is alsofundamental to learning the more advanced concepts of algebra. Theprogram begins with a single equation with all the constantsgenerated randomly (so that the student is unlikely to ever see thesame problem twice). The form of the equation is fairly general,having one variable term (x multiplied by a constant) and oneconstant term on each side of the equation. The student is leadthrough a 3 step process to solve the equation, to obtain a singlenumeric value for the unknown variable, x. The steps are structuredso that the student's entry at each step can be checked, andinstant feedback is provided.Each step is completed by entering anumber using a virtual numeric keypad with large buttons tominimize error. If the number entered is correct the studentprogresses to the next step. If the number entered is wrong thestudent is notified and prompted to re-enter the number until it iscorrect. The arithmetic for each of the 3 steps (subtraction, ordividing by 2, 4, or 5 to get decimal answers) is simple enough tobe performed mentally, without resort to pencil and paper. Hencedrill with this app will have the added benefit of increasingproficiency in the simple mental arithmetic.The program usuallyruns through a specified number of problems, and the number oferrors is tallied after the last problem. This is most useful in ateacher-student setting, where the number of errors at the end ofthe sequence can be used to evaluate the student's progress,sparing the teacher the tedium of grading the problemsindividually. The number of problems in the sequence can bespecified by the user.

div1 1.0 APK

Here is a division drill that will develop skills in bothbasicdivision and mental arithmetic. Yet it's simple enough to dowhilewatching children's TV. The student can begin with noremainders:dividing integers from 3 to 9 (called divisors) into adividendwhich has been calculated so that the division is even.After thestudent enters the answer (a single digit in the simplestversion)it is scored and, if correct, he/she progresses to thenextproblem. If incorrect, the student is prompted to re-enterthecorrect answer. As each problem is completed the number oferrorsis tallied. At the end of the sequence the student hasevidence ofhis/her progress that can be shown to theteacher/parent. Divisionwith remainder presents slightly morechallenges. The answer isentered in a 2 step process: first thequotient; when that iscorrect the remainder is entered. The numberof cases and problemdifficulty can be selected from a setup menu.The problems arebuilt from factor numbers selected at random, sothe student isunlikely to encounter the same problem twice in asequence, andalmost never for problems with remainder.The beginningstudent/useris expected to use pencil and paper for calculatingremainders(particularly the first few times the app is used).However, he/sheshould be encouraged to do without pencil and paperas soon ascomfortable. Calculating the remainder without resortingto penciland paper provides a nice drill in simple mentalarithmetic.

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