MMW 2-1

Question 1

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

Answer 1

to have a PROBLEM

Question 2

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

Answer 2

problem

Question 3

defined as a problem because it causes difficulty in attaining solution

Answer 3

Mathematical Problem

Question 4

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

Answer 4

Exercise

Question 5

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

Answer 5

Problem

Question 6

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

Answer 6

Problem Solving

Question 7

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

Answer 7

Problem Solving

Question 8

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

Answer 8

Routine Problem Solving

Question 9

paper-pencil experiments are quickly tested

Answer 9

Routine Problem Solving

Question 10

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

Answer 10

Non-Routine Problem Solving

Question 11

procedure that do not guarantee solution

Answer 11

Heuristic

Question 12

provide a more highly probable method for discovering a solution

Answer 12

Heuristic

Question 13

building a model and drawing a picture of a problem

Answer 13

Two basic problem solving heuristic

Question 14

describing the problem situation

Answer 14

Other Heuristic (ways/types)

Question 15

classifying information

Answer 15

Other Heuristic

Question 16

finding irrelevant information

Answer 16

other heuristic

Question 17

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

Answer 17

Static Non- Routine Problem

Question 18

have a fixed goal with changing element

Answer 18

Active Non- Routine Problem

Question 19

have a fixed element with changing goal

Answer 19

Active Non- Routine Problem

Question 20

have a changing goal with changing element

Answer 20

Active Non- Routine Problem

Question 21

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

Answer 21

Strategies

Question 22

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

Answer 22

reasoning

Question 23

Problem Solving and Reasoning are ____

Answer 23

Inseparable

Question 24

skill needed in exemplifying the critical thinking and prblem solving ability

Answer 24

Art of Reasoning

Question 25

useful tools in decision making

Answer 25

Logic and Reasoning

Question 26

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

Answer 26

deductive reasoning

Question 27

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

Answer 27

Conjecture/ Hypothesis

Question 28

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

Answer 28

Counterexamples

Question 29

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

Answer 29

intuition

Question 30

requires less mental activity & highly subjective

Answer 30

intuition

Question 31

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

Answer 31

intuition

Question 32

different people think about problems in different way

Answer 32

intuition

Question 33

something that is known/understood without proof/evidence

Answer 33

intuition

Question 34

reasoning by comparison

Answer 34

analogy

Question 35

other similarities are inferred from a particular similarity between two things

Answer 35

analogy

Question 36

generates a conclusion based on the examination of examples

Answer 36

inductive reasoning

Question 37

conclusion form

Answer 37

conjecture

Question 38

predict the next number & make conjecture

Answer 38

application of inductive reasoning

Question 39

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

Answer 39

deductive reasoning

Question 40

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

Answer 40

deductive reasoning

Question 41

make conjecture (application)

Answer 41

deductive reasoning

Question 42

statement in mathematics that consist hypothesis & conclusion

Answer 42

Conditional

Question 43

written in if-then form

Answer 43

Conditional

Question 44

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

Answer 44

hypothesis

Question 45

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

Answer 45

Conclusion

Question 46

if & then parts are reversed

Answer 46

Converse

Question 47

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

Answer 47

Biconditional

Question 48

sequence of true facts placed in a logical order

Answer 48

proff

Question 49

given information

Answer 49

reasons used in proving

Question 50

definition and undefined terms

Answer 50

reasons used in proving

Question 51

algebraic properties

Answer 51

reasons use in proving

Question 52

postulate of geometry

Answer 52

reasons use in proving

Question 53

previously proven geometric conjecture (theorem)

Answer 53

reasons use in proving

Question 54

famous to his four steps process on problrm solving

Answer 54

George Polya

Question 55

NOTE KEYWORDS

Answer 55

Understand the Problem (step 1)

Question 56

GET TO KNOW THE PROBLEM SETTING

Answer 56

Understand the Problem (step 1)

Question 57

FIND OUT WHAT IS BEING ASKED

Answer 57

Understand the Problem (step 1)

Question 58

RESTATE THE PROBLEM IN OWN WORDS

Answer 58

Understand the Problem (step 1)

Question 59

DRAW AN ILLUSTRATION FOR THE PROBLEM

Answer 59

Understand the Problem (step 1)

Question 60

GUESS AND TEST

Answer 60

A: DEVISE A PLAN (STEP 2)

Question 61

USE A VARIABLE

Answer 61

ADEVISE A PLAN (STEP 2)

Question 62

DRAW A PICTURE

Answer 62

DEVISE A PLAN (STEP 2)

Question 63

WORK BACKWARD

Answer 63

DEVISE A PLAN (STEP 2)

Question 64

LOOK FOR A PATTERN

Answer 64

DEVISE A PLAN (STEP 2)

Question 65

MAKE A LIST

Answer 65

A: DEVISE A PLAN (STEP 2)

Question 66

DRAW A DIAGRAM

Answer 66

DEVISE A PLAN (STEP 2)

Question 67

SOLVE AN EQUATION

Answer 67

DEVISE A PLAN (STEP 2)

Question 68

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

Answer 68

CARRY OUT THE PLAN (STEP 3)

Question 69

GIVE YOURSELF A REASONABLE AMOUNT OF TIME TO SOLVE THE PROBLEM

Answer 69

CARRY OUT THE PLAN (STEP 3)

Question 70

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

Answer 70

CARRY OUT THE PLAN (STEP 3)

Question 71

appropriateness/ applicability of solution should satisfy the SOP

Answer 71

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

Question 72

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

Answer 72

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