MMW 2-1 Flashcards

1
Q

search conciously for some action to attain some clearly conceived but not immediately attainable aim/goal

A

to have a PROBLEM

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2
Q

a situation in which a person wants something but does not know immediately what series of actuons can be performed to get it

A

problem

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3
Q

defined as a problem because it causes difficulty in attaining solution

A

Mathematical Problem

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4
Q

if the situation or procedure is obvious it is no longer a problem but an ___

A

Exercise

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5
Q

a statement/ situation where there is an obstacle between what we have and what we want

A

Problem

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6
Q

ability to make decisions, views, formulate, model & investigate situations ti communicate effectively

A

Problem Solving

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7
Q

ability to solve/eliminate obstacle so we can get what we want

A

Problem Solving

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8
Q

stresses the use of known/prescribed procedures(algorithms) to solve problems

A

Routine Problem Solving

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9
Q

paper-pencil experiments are quickly tested

A

Routine Problem Solving

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10
Q

stressed the use of heuristic and it requires little to no use of algorithms

A

Non-Routine Problem Solving

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11
Q

procedure that do not guarantee solution

A

Heuristic

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12
Q

provide a more highly probable method for discovering a solution

A

Heuristic

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13
Q

building a model and drawing a picture of a problem

A

Two basic problem solving heuristic

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14
Q

describing the problem situation

A

Other Heuristic (ways/types)

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15
Q

classifying information

A

Other Heuristic

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16
Q

finding irrelevant information

A

other heuristic

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17
Q

problems have fixed and knowl goal and elements are known to use in resolving the problem

A

Static Non- Routine Problem

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18
Q

have a fixed goal with changing element

A

Active Non- Routine Problem

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19
Q

have a fixed element with changing goal

A

Active Non- Routine Problem

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20
Q

have a changing goal with changing element

A

Active Non- Routine Problem

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21
Q

heuristics used in this form(Non-Routine) of problem solving are known as ____

A

Strategies

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22
Q

Mathematics is not just about numbers; much if it is problem solving &reasoning

A

reasoning

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23
Q

Problem Solving and Reasoning are ____

A

Inseparable

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24
Q

skill needed in exemplifying the critical thinking and prblem solving ability

A

Art of Reasoning

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25
Q

useful tools in decision making

A

Logic and Reasoning

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26
Q

people do ______ to show that certain conjectures are true as these follows the rule of logic

A

deductive reasoning

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27
Q

conclusion formed as a result of inductive reasoning which may/may not be true

A

Conjecture/ Hypothesis

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28
Q

a statement is a true statement provided it is true in all cases but if you can find one case in which statement is not true(counterexample) the it is a false statement

A

Counterexamples

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29
Q

similar to guessing which is also called “reasoning by guessing” & “reasoning by common sense”

A

intuition

30
Q

requires less mental activity & highly subjective

A

intuition

31
Q

ability to acquire knowledge without proof, evidence, etc. without understanding how the knowledge is acquired

A

intuition

32
Q

different people think about problems in different way

A

intuition

33
Q

something that is known/understood without proof/evidence

A

intuition

34
Q

reasoning by comparison

A

analogy

35
Q

other similarities are inferred from a particular similarity between two things

A

analogy

36
Q

generates a conclusion based on the examination of examples

A

inductive reasoning

37
Q

conclusion form

A

conjecture

38
Q

predict the next number & make conjecture

A

application of inductive reasoning

39
Q

process of reaching conclusion by applying general assumptions, principles, etc.

A

deductive reasoning

40
Q

process of proving a specific conclusion from one or more general statements

A

deductive reasoning

41
Q

make conjecture (application)

A

deductive reasoning

42
Q

statement in mathematics that consist hypothesis & conclusion

A

Conditional

43
Q

written in if-then form

A

Conditional

44
Q

part of a conditional statement where the given facts are assumed as true

A

hypothesis

45
Q

part of conditional statement; what needs to be proven or established as true

A

Conclusion

46
Q

if & then parts are reversed

A

Converse

47
Q

statement that combines a conditional and its converse with phrase “if and only if”

A

Biconditional

48
Q

sequence of true facts placed in a logical order

A

proff

49
Q

given information

A

reasons used in proving

50
Q

definition and undefined terms

A

reasons used in proving

51
Q

algebraic properties

A

reasons use in proving

52
Q

postulate of geometry

A

reasons use in proving

53
Q

previously proven geometric conjecture (theorem)

A

reasons use in proving

54
Q

famous to his four steps process on problrm solving

A

George Polya

55
Q

NOTE KEYWORDS

A

Understand the Problem (step 1)

56
Q

GET TO KNOW THE PROBLEM SETTING

A

Understand the Problem (step 1)

57
Q

FIND OUT WHAT IS BEING ASKED

A

Understand the Problem (step 1)

58
Q

RESTATE THE PROBLEM IN OWN WORDS

A

Understand the Problem (step 1)

59
Q

DRAW AN ILLUSTRATION FOR THE PROBLEM

A

Understand the Problem (step 1)

60
Q

GUESS AND TEST

A

A: DEVISE A PLAN (STEP 2)

61
Q

USE A VARIABLE

A

ADEVISE A PLAN (STEP 2)

62
Q

DRAW A PICTURE

A

DEVISE A PLAN (STEP 2)

63
Q

WORK BACKWARD

A

DEVISE A PLAN (STEP 2)

64
Q

LOOK FOR A PATTERN

A

DEVISE A PLAN (STEP 2)

65
Q

MAKE A LIST

A

A: DEVISE A PLAN (STEP 2)

66
Q

DRAW A DIAGRAM

A

DEVISE A PLAN (STEP 2)

67
Q

SOLVE AN EQUATION

A

DEVISE A PLAN (STEP 2)

68
Q

implement the strategy that you have chose until the problem is solved

A

CARRY OUT THE PLAN (STEP 3)

69
Q

GIVE YOURSELF A REASONABLE AMOUNT OF TIME TO SOLVE THE PROBLEM

A

CARRY OUT THE PLAN (STEP 3)

70
Q

DO NOT BE AFRAID OF STARTING OVER = NEW STRATEGY LEAD TO SUCCESS

A

CARRY OUT THE PLAN (STEP 3)

71
Q

appropriateness/ applicability of solution should satisfy the SOP

A

LOOK BACK AND CHECK UF YOUR SOLUTIONS WORKS (Step 4)

72
Q

can see an easier solution and can extend solution to a more general case

A

LOOK BACK AND CHECK UF YOUR SOLUTIONS WORKS (Step 4)