Tuesday, June 19, 2012

Math Studio Vocab. and notes




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:

inductive:

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 get  if we had 3 skirts, 2 sandals, and 4 shirts.



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 vertex.

  •                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!!!!


    Can't do any more tonight.  That taxed my brain.  I can't find all my notes and find I wish I would have taken better notes and I am a master note taker!


    The back is sore again.  I t does not help moving boxes around.  All the cupboards and closets are empty.  Still too much stuff.  I think I need to get rid of KG stuff.  


    Supposedly my soon to be ex( someday please!) was suppose to lose his job today.  Trying not to be anxious or anticipate what this could mean for the divorce.  I can't go backwards.  I have my own consequences to deal with as he will have to deal with his.  I just want closure and to move on.  And that too is mixed up with the math, and the theology.


    Add the other one and it seems overwhelming to sort it all out.  That is why I write.

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