Pascaline (Pascalina)

Introduction: Pascaline (Pascalina)

About: I teach Information and Communication Technology (ICT). I am very fond about all the new technologies for teaching. I do research, write articles and participate in conferences. I perfected in computer science…

Crea la macchina per il calcolo di Pascal con del cartoncino e prova a utilizzarla con delle semplici addizioni o sottrazioni!

Per costruire gli ingranaggi ho usato Inkscape.

oppure

Utilizza il file che trovi qui realizzato con Gear creation.

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Create the machine for calculating Pascal with cardboard and try to use it with simple additions or subtractions!

To build the gears I used Inkscape.

or

Use the file you find here created with Gear creation.

Supplies

Cartoncino, puntine da disegno, bastoncini da gelato, foglio di alluminio, fermacampioni.

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Cardboard, drawing pins, ice cream sticks, aluminum foil, paper clips.

Step 1: Do the Math!

Turn the gears clockwise and remember the order: units, tens, hundreds.(gira gli ingranaggi in senso orario e ricorda l'ordine: unità, decina, centinaia)

Step 2: Further Instructions

Per l'utilizzo devi muovere le ruote numerate in senso orario leggendo i numeri che scorrono indicati dalla freccia in basso.

Per rappresentare un numero partendo da 000 basta muovere la ruota in senso orario facendogli fare gli scatti del numero richiesto per la somma e procedere in senso antiorario per la sottrazione. Se il numero è di due o più cifre bisogna comporre il numero scomponendolo in centinaia, decine, unità e rappresentarle sulle rispettive ruote che devono essere un po' sollevate una rispetto all'altra con un cartoncino posto sotto ognuna. Si può fare anche livisione come sottrazione ripetuta (divisione euclidea con significato di resto).

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To use it, you need to move the numbered wheels clockwise by reading the scrolling numbers indicated by the arrow below.
To represent a number starting from 000 just move the wheel clockwise making it click the required number for the sum and proceed counterclockwise for the subtraction. If the number is two or more digits, you must dial the number by dividing it into hundreds, tens, units and represent them on the respective wheels which must be raised a little with respect to each other with a cardboard placed under each one. You can also do balancing as repeated subtraction (Euclidean division with meaning of remainder).

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    5 Comments

    0
    painfull
    painfull

    1 year ago

    Hw doe the gears turn freely? It seems in this configuration; all gears connected, they cannot turn. They are locked together. Each gear should connect to one adjacent gear, but not a second gear. As soon as you have 3 gear connecting at once, they would be locked.

    0
    prof-minaudo
    prof-minaudo

    Reply 1 year ago

    To use it, you need to move the numbered wheels clockwise by reading the scrolling numbers indicated by the arrow below.
    To represent a number starting from 000 just move the wheel clockwise making it click the required number for the sum and proceed counterclockwise for the subtraction.
    If the number is two or more digits, you must dial the number by dividing it into hundreds, tens, units and represent them on the respective wheels which must be raised a little with respect to each other with a cardboard placed under each one.
    You can also do balancing as repeated subtraction (Euclidean division with meaning of remainder).

    0
    painfull
    painfull

    Reply 3 months ago

    I understand how the device should work to calculate a mathematical sum. My point to you is that while turning the blue wheel clockwise, both the red wheel and the plain one above the blue wheel must turn counter-clockwise. As you can see from the image of your device, the cogs for the two wheels touching the blue wheel are meshed (connected), yet they need to turn in the same direction, thus causing them to stop each other.

    This is easier to see in the image I have attached.

    My point is - your design only requires some adjustment. It would work fine if the gears were not all touching each other. They must each drive one other gear in sequence in order to work at all: Wheel 1 should drive wheel 2 (without also touching wheel 3) Wheel 2 then drives wheel 3, and so on.

    Pascaline .jpg
    0
    prof-minaudo
    prof-minaudo

    Reply 3 months ago

    The trick is to lift the gears with a small piece of cardboard (maybe not seen in the photo).