THE
NUMBERLAND TALES
BOOK
ONE
ICE
CREAM AND SPIDERS
In
Which Danny Learns The Two Times Table
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ICE
CREAM AND SPIDERS
"Danny you are completely hopeless!"
That's what Mr Grimshaw, Danny's maths teacher, had said yesterday.
In fact Danny could do all sorts of things like climb trees, and make
his own breakfast, and draw, and read, and he was good at music too.
But he wasn't so good at maths. He could count, and add up, but recently
they had started times tables and he couldn't understand them at all.
All the other teachers were nice, and helped children who found
schoolwork difficult, but Mr Grimshaw was a horrid man who spluttered when he
spoke and had stains down his shirt where he'd spilt his dinner. He was nice
to the clever children, but he enjoyed being nasty to children he didn't like,
the dunces as he called them. And Danny was, according to Mr Grimshaw, the
biggest dunce of all: The bottom of the class.
Danny
felt really miserable. He
didn’t know why anyone should bother learning tables, and even when he did
try, he just couldn't get it right.
As Danny set off to school, he was so busy worrying about the tables
test that Mr Grimshaw had promised for twelve o clock, that he forgot to pay
attention to where he was going. Instead of walking to school, he went in the
opposite direction down the lane towards the meadow where he liked to go
during the holidays. The day was warm and sunny, and Danny strolled along in a
bit of a dream, which wasn't unusual.
"Where are you off to then?" asked a creaky voice.
He
turned to see Old Belinda sitting outside her cottage knitting as she often
did on sunny days. The other
children called Belinda a witch because she was very old and wrinkly and had a
huge nose with large hairy warts on it. She
was a bit of a fearsome sight, and Danny was rather afraid of her, as he had
heard she was slightly mad.
"I'm going to the meadow,” replied Danny.
I don't want to go to school. There's
a tables test today and I don't understand tables and I can't remember them
and everyone says I'm stupid." The words came out in a rush and he began
to sob.
"Oh tables is it?" Croaked Belinda.
"Tables isn't so bad when you understands how they work. Would you
like an ice cream?"
Danny brightened up at once. "Yes
please." He replied.
Belinda
disappeared into the cottage and soon returned with an ice cream.
It
was delicious. Quite the best ice cream Danny had ever tasted, Strawberry
vanilla, black cherry gateau, toffee pecan nut sundae with chocolate rum
truffle mints all in one. It even had sparkly bits in it that glinted in the
sunlight.
"Mmmmmm. Mmmmmm, slurp
mmmmmm, was all Danny could say as it began to melt down through his fingers
and he tried to lick up the drips at the same time as eating it.
"How would you like two ice creams?" asked Belinda.
"Oh
yes please thank you!" replied Danny who was now trying to keep up with
an ice cream which was dripping onto his shirt and getting all over his face
as he tried to lick and speak at the same time.
"Well two ice creams is twice as many to eat as it's twice what you
already have and twice an ice cream is two ice creams which is twice as many
as you started with."
"No wonder people think she's barmy," thought Danny but he was
too surprised to speak because at that moment Belinda said "twice"
again and Danny found he now had an ice cream in each hand.
"There you are, twice in a trice is twice as nice as one ice with
twice the ice of one ice cream or two ices to be precise." She cackled.
"Now off you go."
Melted ice cream was now running down both hands and it was even more
difficult for Danny to keep up with it, let alone trying to follow this
nonsense.
He set off towards the meadow feeling completely bewildered by her
strange talk. He thought that she must be some sort of witch if she could make
ice creams appear from nowhere.
"I simply multiplied by two." He heard her call after him.
He couldn't reply, as he was too busy keeping up with melting ice
cream. "You get double the number you started with. It's not
difficult."
He reached the stream and sat down to finish the ice creams, which
seemed to taste better and better with each lick.
"Have you got it yet?" Purred a soft voice next to him.
Startled, Danny looked up to see a large ginger cat sitting next to him
licking her paws. Before he could
answer the cat moved closer and licked the last dribbles of ice cream from
Danny's legs, which tickled and made him laugh.
"Got what?" asked Danny. "I got two ice creams, but that
Belinda is barmy and talks in riddles, and she might even be a witch."
"Twice
as many ices as you started with." mused the cat.
"Don't you start,” said Danny, but the cat ignored him.
"Now how many legs do I have?" asked the cat as she stood up.
"Why four of course."
"Which
is twice as many as you. Or twice
two, if you see what I mean. And by the way my name is Cassandra, but my
friends call me Cassey Cat which I think is rather cool. She stretched, and
arched her back, and looked cool in a cattish sort of way.
Danny
wondered why everyone kept saying twice and was about to ask when the cat
continued.
"Look
into the water and tell me what you see."
Danny
looked and saw several colourful fish floating by.
"Fish."
said Danny simply.
"And
what about them?" asked Cassandra with just a hint of impatience.
"Well
they've got eyes and fins and a mouth and tails and three stripes down each
side and.."
"Aha.
Three stripes you say?"
Danny
counted again. "Yes
three."
"Three
on each side?"
"Yes."
"And
how many sides does a fish have?"
"Two
of course." Danny was getting fed up with this silly cat and wished she'd
go away.
"So
how many stripes does each fish have?"
"That's
easy. Six."
"Precisely,
it's twicely. Three two's are
six,” purred the cat.
Danny
was beginning to wonder whether he should have gone to school after all when a
pair of dragonflies flew over the water and settled on a stone.
"Have
you ever noticed how many wings a dragonfly has?"
Asked Cassandra.
Danny
hadn't so he looked closer.
The
dragonflies were extremely beautiful. Bright
shimmering green that changed to blue, and then to the most purpley purple
colour Danny had ever seen, then back to green again.
The colours kept changing and arranging themselves into patterns.
The
wings were even more beautiful, like lace but they were sort of alive with
even more stunning patterns and colours that moved like the ripples in the
stream.
"Well?"
Danny
had been so enchanted by the dragonfly’s wings that he had quite forgotten
the question. "Well
what?" he asked.
"How
many wings does each one have?" asked the cat impatiently.
"Four."
Danny replied.
"And
there are two dragonflies are there not, so how many wings altogether?"
"Eight."
Replied Danny counting quickly. It
wasn't difficult at all.
Cassandra
seemed to loose interest, and began grooming herself. The morning sun shone
brightly and Danny began to feel rather warm.
He took off his sandals and dangled his feet in the water to cool them.
He noticed his toes, five on each foot. "Five two's are ten,” he
said without thinking.
"Well
done." said the cat "five two's are ten. Or five toes are ten if you
twice it." She said with a laugh, rather proud of her little joke.
"It's multiplication you see. If you multiply by two you have
twice as many. Double the number
you started with."
"Now
suppose you had six buns and you multiply by two. How many would that make?"
This
was much more difficult for Danny. It
was easy with toes because he could see them, but he found it hard to imagine
buns that weren't there. He gazed
into the water.
"Who
are you looking at?" came a gruff little voice.
Danny
couldn't see who had spoken, and then he heard it again.
"Oy
you, you great big flat footed oaf. You're
blocking out the sun. Do you mind”?
Danny
squinted in the direction the voice had come from and saw an insect that
seemed to be standing on the water. It
looked like a beetle, but with bigger wings. Its legs were very long, and it
had large feet shaped like little boats, which floated so it could walk on the
water without sinking.
"What
are you? Asked Danny.
"Ahem."
The creature cleared its throat. "I am a water boatman if you
please." It said. "I am
one of the few creatures that can walk on water.
This is my stream, and I don't like you blocking out the sun."
It said with an air of self-importance that seemed excessive for such a
small
creature.
Danny
thought it was a rather cross little thing and was trying to think of a
suitable reply when he noticed that it had six legs
(He
was getting into the habit of counting things). Not only that, but he could see its reflection in the surface
of the water. It was as if it was standing on a mirror, so he could see two of
them, and each had six legs.
"Of
course!" Said Danny counting up the legs. "Six two's are
twelve!"
"You what?" said the water boatman. "Oh well, please
yourself, you just stay there and I'll move to a sunny patch." He grumbled as he floated off downstream.
Danny
was beginning to see numbers everywhere he looked. There were some large daisies growing by the stream.
He counted the petals. There
were seven petals on each so counting up he quickly found that seven two's are
fourteen.
A
spider was busy with her web on a nearby twig.
Danny knew spiders have eight legs and he wanted to count how many legs
two spiders have so he'd know what eight times two was.
"Excuse
me. Is your husband around?" asked Danny
"Up
there." said the spider without looking up.
Danny
raised his eyes to the top of the web but all he could see was a bundle of
legs with no body hanging from the sticky threads.
"I
ate him." Explained the spider as she continued to spin her web.
"Except I don't like legs. Don't
taste nice at all. All knobbly
and gristly and hairy and tickly, really yucky. But I do love those succulent
juicy bits. I could eat them all day, Mmmmmm."
"Er
quite." said Danny, moving away a little.
He thought the spider was even worse than the water boatman, but the
legs were still there. He
counted. "Sixteen." he said feeling very pleased with himself.
He
was beginning to notice that each time he doubled a number, the answer was two
more than the previous answer. So
if eight two's were sixteen, then if he added two, then two times nine was
probably going to be eighteen.
He
looked around. Cassandra was
still sitting there grooming her whiskers.
"Where
can I find nine of something?" Asked
Danny.
"I've
got nine lives." She answered. "Or
at least I did have until I nearly drowned when that stupid boy threw me down
the well, and I probably lost another when a stinky dog chased me up a
tree."
That
wasn't much help and Cassandra wasn't being very cooperative just sitting
grooming her whiskers.
"Of
course." Thought Danny. "The
whiskers." He told the cat
to keep still while he counted, and sure enough there were nine on each side
which added up to eighteen, so nine two's must be eighteen.
Danny
was delighted. He knew he had ten
toes, and he had ten fingers too (if you include the thumbs).
So ten two's were twenty, and that meant he knew his two times table
right up to ten!
He
could do it after all. He ran
back towards the school. He'd
show Mr Grimshaw, as long as he hadn't missed the test.
He
ran by Belinda's cottage. She was
leaning on the gate in the middle of the fence that he noted had eleven
railings on each side. Eleven
two's are twenty-two, he said to himself almost without thinking.
As
he ran through the school gates he heard the clock strike twelve.
He knew that there were two twelve o clocks each day, one at midday,
and one at midnight, and he knew there were twenty-four hours in a day.
"Twelve two's are twenty four." He said to himself.
Mr
Grimshaw looked up as Danny entered the classroom.
"You
remembered to come, how very good of you." He said in the especially
nasty way he did when he was in a really bad mood.
"We
are just about to begin the two times table test. Perhaps, you would like to begin."
Mr.
Grimshaw glared over his spectacles. Danny
was a little taken aback. His
mind went blank. Somehow in the
rush to get to school he'd forgotten everything.
"Well?"
Mr. Grimshaw glared. Danny merely
stuttered.
"I
thought so. Danny thinks he
doesn't need to come to school, but he can't even manage the two times
table."
Danny
noticed that a small piece of Mr. Grimshaw's breakfast was still stuck to his
chin. It looked as though he'd
dribbled egg down his face and hadn't bothered to wipe it off. It reminded Danny of the ice creams Belinda had given him.
The
ice creams! Of course!
"Once
two is two." He began
thinking of how Belinda had made the ice cream twice as many.
"Two
two's are four." He
remembered that cats have four legs, which is twice as many as children.
Then he thought of the stripy fish.
"Three
two's are six."
"And
four two's are eight." He went on, thinking about the dragonflies and
their beautiful wings.
"Five
two's are ten." He wiggled
his toes inside his sandals.
"Six
two's are twelve." He added,
remembering the rather cross water boatman.
For a moment he couldn't remember seven two's. He looked around the
room, but couldn't see anything there were seven of. Then he spotted a vase of flowers sitting on the piano. Of
course! The daises!
"Seven
two's are fourteen."
By
now Mr. Grimshaw's expression had changed from his previous sneering smile to
one of utter amazement.
Danny
wasn't going to forget the spider who'd eaten her mate so he continued;
"Eight
two's ate sixteen. I mean ate her mate, I mean eight two's are sixteen."
He finally managed to say.
By
now most of the other children were giggling, not so much at Danny, but at the
look on Mr. Grimshaw's face
But
Danny had forgotten again. His mind a blank he gazed around the room, but
there was nothing. He looked out of the window. There in the middle of the
playground sat Cassandra cleaning her whiskers.
"Nine
two's are eighteen, and ten two's are twenty." He said in a rush.
"Very
good Danny." began Mr Grimshaw. "I
must say..."
No
one ever found out what he would have said because Danny blurted out,
"Eleven
two's are twenty two and twelve two's are twenty four." As he remembered
the fence and the clock chiming as he got to school.
Mr
Grimshaw was astonished. He was
one of those old fashioned teachers who thought that tables should go up to
twelve times like they used to in the old days. He was very pleased with
Danny. Now he would have to find someone else to be horrid to.
The
other children clapped as Danny sat down. Tables weren't so difficult after
all. He was quite looking forward to learning some more. He hoped it would be
as exciting as learning the two times....
THE
END
Click
here
for the next story: Cakes and Butterflies
In
which Danny learns the Five Times Table.
Copyright
M. Rawlinson 1998
All
Rights Reserved