Math vocabulary is a different language. I
made sure to clarify the language this time! Even conjunctions have
different meanings! Online dictionaries don't always have the
mathematical definition. I asked the teacher for the definitions.
Some definitions I am still working on and I think this is why I enjoy
using the vocabulary in poems. Not only does it provide a rich experience in
language it also require some work on the readers part to understand how the
word is being used and how meaning can change because of the secondary
knowledge of the math definition.
Here goes:
Quantitatively:
Decontextualize: Take out of context, to
remove from context
Contextualize: to put in context
Combinatorics: area of mathematics that deal with
counting problems the study of finite or countable discrete structures.
Oldest and most accessible parts of combinatorics is graph theory!!!!
used frequently in computer science in the analysis of algorithms.
Up to 3 means 2, could be 1, or could be 3
Factorial: 1x2x3x4x5x6x7x8... and is denoted
as 15!
Permuting: rearranging objects or values
Permutations- every detail matters! Used for
lists
Combinations: easy going, details don't matter, for
groups, order doesn't matter
The rule to determine the number of permutations of
"n" objects was known in Hindu culture at least as early as 1150.
The Lilavati by the Indian mathematician Bhaskar11
Explicit: in math means it can be applied to any situation
and is different than recursive
Recursive: Blame this one on middle school
teachers. Still searching...
Referents:A referent is a personal item that is used to estimate, whether a physical entity or mental construct.
http://teachmath.openschoolnetwork.ca/wordpress/grade-1/number-sense/estimating/
I am not too sure about this one. I forgot the context it was used in during class. I came across a slide show about a referent that kind of boggles my mind.
"Numbers are graphemes till they have a referent. 5 " http://www.slideshare.net/Claretcarat/the-referent-unite
ferentsgiveNumeralsMagnitude•ReferentsgiveNumeralsMagnitude•Numeralsaregraphemesuntiltheyhaveareferent.The conclusion you reach is called a conjecturehttp://www.basic-mathematics.com/examples-of-inductive-reasoning.html
Mathematical "between": does it
include the bookends? Between 1 and 20. So does that include 1 and
20? No.
Mathematical "or": means both- all.
all the odds and multiples. Not the exclusive "or"- cake
or ice cream.
Punnet Square: a diagram used to predict an
outcome of a particular cross or breeding experiment. Tabular summery of
every possible combination of one maternal alete with 1 paternal alete.
This was from the 5th grade and middle school teachers in my group.
We used it to show how many combinations of out fits we could g Vertex:
From Wikipedia: a vertex (plural vertices)
or node is the fundamental unit of which graphs are formed:
My understanding? Hey it's the dot in space!
Edges: Every edge has two endpoints in
the set of vertices, and is said to connect or join the two
endpoints. An edge can thus be defined as a set of two vertices
It's connecting the dots folks!
Adjacent: Two vertices are adjacent provided there
is an edge between them connected directly. They share an edge Incident:
An edge is incident to a vertex provided it connects and ends a t a vertex
Euler Circuit: Draw a graph without lifting your pencil off the
page and without drawing an edge more than once, and starting at the same vertexes
if we had 3 skirts, 2 sandals, and 4 shirts.
•
Alternating sequence of vertices and edges: V0, e1, v1, e2, v2, where
•
Each edge e1 , is incident to vertices vi-1and vi
•
v0=vn
•
each edge in G appears in the sequence exactly once
and if that is gobble gook to you welcome to my
world!!
Discrete: dictionary definition: distinct from
others; separate; consisting of distinct parts; discontinuous
(Thorndike and Barnhart)
Mathematical Definition: Discrete mathematics
involves the study of objects and ideas that can be divided into separate or
discontinuous parts. Thus discrete mathematics can be contrasted with the
classical notion of continuous mathematics, which is the mathematics underlying
most of algebra and calculus. Discrete mathematics is well suited
to situations whose main focus is counting as contrasted with continuous
mathematics whose main objective is the measurement of an object. The set
of positive integers is an example of a discrete set; the set of real numbers
is an example of a set that is not discrete.
(1991 NCTM Yearbook)
Dang I always forget what "real" numbers
are. How can numbers come with so many names and descriptors!!!!
Finite set: In mathematics, a finite
set is a set
that has a finite number of elements.
For example,
Is a finite set with five elements? The number
of elements of a finite set is a natural number (non-negative integer), and is called
the cardinality of the set. A
set that is not finite is called infinite. For example, the set of all
positive integers is infinite:
Finite sets are particularly important in combinatorics, the
mathematical study of counting.
Many arguments involving finite sets rely on the pigeonhole
principle, which states that there cannot exist an injective function from a
larger finite set to a smaller finite set.
Subsets:
For example, the set {5,6,7} is a 3-set, a finite set with three
elements, and {6,7} is a 2-subset of it.
I
hope to get my room done tomorrow.
I don’t want it hanging over my head anymore. All the cupboards and closets and wall are cleaned out. Way too much stuff. I need to throw more away.
No
phone calls. I am anticipating,
which I know I am not supposed to anticipate trouble, a call from the lawyer
because Pat lost his job. I think
he will probably try to ask for spousal support again. Plus what happens to his 401 K now that
he has lost his job? I know he is
going to need health insurance what happens to that? That’s the Cobra thing and he has to pay for that. Plus there are the car loans. My lawyer, who does not return my phone
calls or emails, will probably be calling me soon. I am disgusted.
These things are the consequences of his actions and why should I have
to pay for them?
I
think all of this has led to the start of a new poem I shall call ”Finite”, in
the mathematical sense. Another
math poem.
Just
wondering if my sons will ever call me mom again or if I will ever stop feeling
sorry for myself?
It’s
the break up of a finite set of discrete numbers….
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