problem solving Flashcards
process of finding a solution to an issue
problem solving
ability of a person to analyze problems
mathematical reasoning
2 types of mathematical reasoning
inductive reasoning
deductive reasoning
predicting based on example
specific example => conclusion
inductive reasoning
conclusions based on general assumption, procedure, principles
FACTS
deductive reasoning
forms of deductive reasoning
syllogism
modus ponens
modus tollens
other math patterns
triangle numbers
Square numbers
different table
Ancient mathematicians who were interested in problem solving
Euclid, Rene Descartes, Gottfried Wilhelm Leibnitz
One of the foremost recent mathematicians to make a study or problem solving
George Polya
steps in problem solving
understand the problem
create a plan
execute the plan
check and reflect
These are geometries shapes that represent set. Usually, a rectangle represents the United Set (U), and circles for other smaller sets (subset). They are the principal ways of showing sets and their relationships between and among others diagrammatically.
drawing a venn diagram
Listing is a method of organizing data in a problem. Through listing, one discovers relationships and patterns among data.
through listing
This strategy utilizes multiple attempts to reach solution. As the name implies, it is a trying method, if it works, then great, but if it doesn’t, then a new method is performed until a solution is reached.
trial and improvement
Using equations or formulas can be simple. There is an introduction of a variable that is used to satisfy the conditions given in a problem.
using an equation/formula
This strategy is used when a series of operations are done on an unknown number and one is given the result only.
Using this method requires one to start with the result and apply the operations in reverse order until you find the starting numbers.
working backwards
