Module 8. Strategies in Problem Solving

Question 1

mathematician famous for his lifelong interest in the study of the process of problem solving

Answer 1

George Polya

Question 2

ability to solve problems according to George Polya

Answer 2

intelligence

Question 3

“solving problems is __ __ itself”

Answer 3

human nature

Question 4

To Polya, the major goal of education should be the development of __ __ __

Answer 4

problem solving skills

Question 5

Paul Zeitz’s book

Answer 5

The Art and Craft of Problem Solving

Question 6

question that you know how to resolve immediately by just applying specific techniques or formulas which are previously taught

Answer 6

exercise

Question 7

demands much thought and resourcefulness before the right approach is found

Answer 7

problem

Question 8

• it makes you stronger but there is not so much excitement, challenge, nor fun
• like going to the gym

Answer 8

exercise

Question 9

like going on a mountain climbing trip

Answer 9

problem solving

Question 10

can be used when confronted with a problem

Answer 10

mountaineering analogy

Question 11

What are the steps in Mountaineering Analogy

Answer 11

1. Investigate
2. Approach
3. Perpare your tools
4. Begin climbing
5. Continue to climb until goal is reached
6. Check map if you’ve truly arrived.

Question 12

observe the target mountain from different angles

Answer 12

investigate

Question 13

decide on your strategies

Answer 13

approach

Question 14

“What operations will you use?”

Answer 14

prepare your tools

Question 15

Start solving. make several attempts. do not give up easily

Answer 15

begin climbing

Question 16

Problem-solving Process and Strategies

Answer 16

1. G (what are given)
2. R (What are required)
3. A (adopt a plan)
4. C (carry out plan)
5. E (examine solution. check your answer)

Question 17

Good problem solvers __ __ __ __ if the first strategy does not work

Answer 17

do not give up

Question 18

formula for total handshakes

Answer 18

n(n-1) / 2

Question 19

Formula:
Rectangle Perimeter

Answer 19

P= 2(l+w)

Question 20

Formula:
Rectangle Area

Answer 20

A = lw

Question 21

Formula:
Parallelogram Area

Answer 21

A = bh

Question 22

Formula:
Circle Circumference

Answer 22

C = 2πr
C = πd

Question 23

Formula:
CIrlce Area

Answer 23

A = πr^2

Question 24

Pythagorean Theorem

Answer 24

a^2 + b^2 = c^2

Question 25

Trigonometric Ratios

Answer 25

S = O/H
C = A/H
T = O/A

Question 26

Formula:
Triangle Area

Answer 26

A = 1/2 bh

Question 27

Formula:
Trapezoid Area

Answer 27

A= 1/2h(b1+b2)

Question 28

Formula:
Rectangular Solid Volume

Answer 28

V = lwh

Question 29

Formula:
Rectangular Solid Surface Area

Answer 29

SA = 2lw + 2lh + 2hw

Question 30

Formula:
Cylider Volume

Answer 30

V = πr^2h

Question 31

Formula:
Cone Volume

Answer 31

V = 1/3πr^2h

Question 32

1 quart

Answer 32

0.95 L

Question 33

1 inch

Answer 33

2.54 cm

Question 34

1 pound

Answer 34

0.45 kg

Question 35

°F =

Answer 35

9/5C + 32

Question 36

°C =

Answer 36

5/9 (F-32)

Question 37

Formula:
Triangular prism volume

Answer 37

V = (area of base)(height)
V = (1/2bh)(h)

Question 38

Formula:
Sphere volume

Answer 38

V=4/3πr^3