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How did the
Mayas count?
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The
Mayas knew math really well. Just like us, they could add, subtract,
and write big numbers. Have you noticed that we only use 10 numbers?
They are: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9, and we know them as
a decimal system. To write really big numbers, we use the same 10
numbers in different combinations, like 36,865. This is a big number,
but we always use a combination of the same 10 numbers. In this
case, they're 3, 6, 8, and 5.
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The
system the Mayas used was very different from ours. They didn't
use numbers that we do, but instead used symbols. They only had
three symbols, which were: a point or dot (which represents 1 unit),
a bar (which represents 5 units), and a something that looked like
a shell, which represents the number 'zero'. With these three symbols,
the Mayas were able to write very big numbers, all the way into
the millions!
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What mathematical system did the Mayas use?
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The
Mayas didn't use the decimal system, which means that they didn't
count in units of 10, but instead in units of 20. For this reason,
their system is known as a 'vigesimal'. It could be that our decimal
system is based on the 10 fingers on our hands. So maybe the Mayas
took into consideration the 10 toes, too! With the dots and bars,
they could count up to the number 19. If we include the number 0,
we can say that there were 20 numbers. After this point, they had
to repeat the same numbers, but not like we do from left to right,
but instead from the bottom up. This seems a little strange to us,
but for them it was very normal - that's how plants grow, after
all! |
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What is the number
'zero'?
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The
number 0 is something very strange, because it's nothing. To have
zero hens means to not have any. But the number 0 is very important
in math, because it symbolizes nothingness or emptiness.
Imagine that we didn't know the number 0. Your teacher gives you
three candies, you eat two, and you give one to your friend, and
all of a sudden your teacher asks you how many candies are left.
How do you answer? None! In other words, zero. To add and subtract
correctly, we need the number 0.
The Mayas actually discovered the concept of zero long before the
idea occurred to other people. This is something very special, because
the number zero is quite complicated.
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For
the Mayas, zero didn't only represent 'nothing'. It also meant that
nothing was missing! It's a little difficult to understand, but
imagine that you just ate a lot - you now have zero hunger! Or in
other words, you're not missing anything &
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Did the Mayas study the stars?
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The ancient
Maya were big astronomers. They studied the stars every night and
knew exactly when and where they would appear. They studied them
from special buildings called observatories, which were very high
and had an open door or window through which they could watch the
sky and see the stars and planets well. They hung crossed sticks
or poles in the window so they could situate each star in comparison
with others. Every night, they noted the time and position of the
stars and after doing that for many years, they could predict exactly
which star would appear and at what time. Today's astronomers do
the same thing, but the big difference is that the Mayas at that
time didn't have the fine tools that are used today. They just used
their eyes and they had a LOT of patience.
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The
Mayas believed that all of life was related to the planets and
stars, that life on earth was a reflection of the life of the
planets. They believed that a child born on a certain date was
born with the characteristics of that day. Whatever the Mayas
did depended on the planets. For example, they couldn't plant
the fields on a certain day. No, everything depended on the planets.
The Mayas considered the stars and planets as divine. Each planet
was represented by its own god or goddess. Remember that the Mayas
had a sun god, a moon god, one that represented the planet Venus,
and many more.
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What is a calendar?
A
calendar is a system for measuring time. We measure time in seconds,
minutes, hours, days, weeks, months, and years. Calendars help us
to plan our events and situate ourselves in time, both in the past
and in the future. Imagine if we didn't have a calendar - it would
be really difficult to say things like, "I'll see you next
Tuesday", or "I really liked Christmas of 2006".
Just like the Mayan calendar, ours is also related to the rotational
path of the planets. For example, a month is the time it takes for
the moon to go around the earth, and a year is the time it takes
for the earth to go around the sun.
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Even
the days of the week in English refer to the planets:
Monday - Moon
Saturday - Saturnus
Sunday - Sun
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Is the Mayan
calendar different?
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What's interesting is that the Mayan calendar is quite similar to
the one we use today. It also had a system of days, months, and years
like ours that lasted 365 days. The big difference is that the Mayas
didn't only have one calendar, but 3! One was a lot like ours. Another
one was sacred and was used more for religious ceremonies. And they
also had one known as 'The Long Calendar', which they used to refer
to events far away, both into the future, and in the past.
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The
Mayas used three calendars at the same time, so the resulting
system was quite complicated, but even farmers and workers didn't
do anything without consulting the calendar. Imagine organizing
a wedding for a day that was supposed to bring bad luck!
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What is the
Mayan calendar like?
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The
Mayan calendar most like our own is the 'Haab', or the solar calendar,
which has 18 months of 20 days each. But 18 times 20 makes 360 days,
so they were missing 5 to round out the solar year, so they added
them to the end and believed that those 5 days brought bad luck.
Every
day of the 20 days of the month had its own name, and own god or
goddess. What a difference from our calendar! We only have 7 names
for the days.
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Did you know that &
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The Mayas
also had another way to write numbers - with glyphs that showed depictions
of the faces of the gods, the patron saints of numbers. They only
used these glyphs for dates engraved in altars, statues, and buildings,
though, because it was too much work to draw a glyph to add, for instance,
how many coffee beans someone had to pay for a jaguar skin. |
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For
the Mayas, the number 3 was very special because there were three
levels of the universe - the sky (or heaven), the earth where people
live, and the underworld.
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The number
9 was also important and is related to fertility, because a pregnancy
lasts 9 months and a corn seed takes 9 days to germinate. |
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