Lesson 1 Flashcards
it is a science of logical reasoning, drawing conclusions from assumed premises or strategic reasoning
mathematics
is so fundamental to our perception of quantity that it is to assign a numeric value to a group of objects
Counting
connotes order, regularity, and lawfulness
Pattern
one kind of logic pattern deals with the characteristics of various objects
Logical Pattern
may be a design or motif depicting abstract, nonrepresentational shapes like line, circles, ellipses, triangles, rectangles, and polygons
Geometric Pattern
is an arrangement of numbers in such a way that it follows a particular property or pattern
Number Pattern
The metrical patterns of poems and the syntactic patterns of how we make nouns plural or verbs past tense are both word patterns, and each supports mathematical as well as natural language understanding
Word Pattern
led to the introduction of the Fibonacci numbers and the Fibonacci Sequence
The Rabbit Problem
Who discovered the Fibonacci Sequence?
Leonardo Pisano Bigollo
Pisano means?
from Pisa
Fibonacci means
son of Bonacci
this sequence is found in many natural patterns such as pineapples, sunflowers, nautilus, and pine cones
Fibonacci Sequence
a mathematical ratio, epitomizes beauty, congruence, and balance in physical form
Golden Ratio
is an essential tool in many fields, including scientific discipline, engineering, medicine, finance, and other sociologies
Mathematics
a quality that cannot be described or named easily
je ne sais quoi
What are the three characteristics of mathematical language?
Precise
Concise
Powerful
are written in symbols
Mathematical Sentences
What are the elements of mathematical language?
The importance of truth
convention
definition and undefined terms
simplicity and elegance
Quantity
cardinal
order
ordinal
label
nominal
are procedures or strategies that do not guarantee a solution to a problem but provide a more highly probable method for discovering the solution to a problem
Heuristics
is the process by which this new situation is analyzed and resolved
Problem solving
it is a strategy in which students look for patterns in the data to solve the problem
Finding a pattern
it is also known as, “If” and “Then” approach, a conditional statement in solving problems, using rational, systemic series of steps based on sound mathematical procedures and given statements to conclude
Logical Reasoning
these problems usually complex to little formal mathematics but, instead, rely on the creative use of basic strategic principles
Recreational Problems
are usually encountered during formal exams with limits
Contest Problems
are mathematical situations that are sometimes vaguely worded and possibly have many solutions
Open-ended problems
Permutation Formula
P=n!/(n-r)!
Combination Formula
C= n!/r! (n-r)!
a problem-solving approach that students can use to resolve mathematical problems by predicting the answer and then inspecting that the guess fits the condition of the problem
Guess and Check
it is dividing the significant concentration into small ones and then rules them
Divide and conquer
this strategy entails starting with the results and reversing the steps needed to get those results
Working Backwards
constructing an organized list, table, chart, or graph helps students establish their intelligence about a problem
Organizing Data
the process of reaching a general conclusion by examining specific examples
Inductive Reasoning
the assumption from using the inductive reasoning is called a
conjecture
is the process of concluding by applying general assumptions, procedures, or principles
Deductive Reasoning
