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Publications 1994-1996
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6
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TO
CORRECT MISCONCEPTIONS ON ARCHIMEDES' PRINCIPLE AND
UPTHRUST
(PHYSICS - UPPER SECONDARY)
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LEONG
KUM YEAP
SMK TATAU
97200 TATAU, BINTULU, SARAWAK
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BACKGROUND
Students come to
classrooms with many misconceptions. The misconceptions interfere with
the students' ability to understand concepts presented in the classroom.
This interference occurs regardless of how clearly teachers present
concepts. The misconceptions must be corrected. Instead of giving the
correct answer, the teacher gives an example that contradicts the misconception.
Once the student preceives the inconsistency and accepts the challenge
of resolving it, a more promising learning opportunity exists.
OBJECTIVES
1. To highlight
the students' wrong preconceptions and renders them more ready to
consciously absorb new information to modify their preconceptions.
2. To correct preconceptions / misconceptions about Archimedes' Principle
and upthrust.
BENEFITS FOR TEACHING-LEARNING
PROCESS
1. The guided inquiry
approach used is more interesting to the students then mere teacher
talk or demonstration.
2. Students' wrong preconceptions are highlighted and renders them more
ready to consciously absorb new information.
3. Students learn to formulate activities for investigation and disprove
their own misconceptions one by one under teacher's guidance.
4. Students listen, watch and participate actively in the investigations
together with the teacher.
APPARATUS / MATERIALS
NEEDED
Spring balance,
wooden block, dry twig, rock, beaker, balloon, plasticine, merkury,
and string
IMPLEMENTATION
This approach involves
4 steps :
| Strategy
A |
Pretest
to find out students' preconceptions two days before the lesson |
| Strategy
B |
Announce
results of the pretest before the lesson to shake their precenceptions. |
| Strategy
C |
Teaching
by comparison between right and wrong responses through the teacher
demonstration and student activity. |
| Strategy
D |
An
exercise on further concept development on Archimedes' Principle. |
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Strategy
A : Pretest to be given to students 2 days before lesson begins
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| Question
1 : |
Does
a long block of wood experience the same upthrust when it lies horizontally
than when vertically because its base area is larger in the former
orientation than in the latter ? |
| Question
2 : |
When
a hollow steel ball and a solid steel ball of the same size are submerged
in water, do the two experience the same upthrust ? |
| Question
3 : |
A
large homogeneous object sinks in water, it is then divided into two
parts, one of which is larger than the other. Will both of these parts
now sink ? |
| Question
4 : |
Imagine
a body that is completely submerged in water, but whose depth of submergence
can be varied. In which case does it experience a larger upthrust,
when it is submerged deep or shallow ? |
| Question
5 : |
Does
a sunk body at the bottom of a vessel experience an upthrust ? |
| Question
6 : |
Given
a block of iron and a block of wood of the same size completely submerged
in water, do the two experience the same upthrust ? |
| Question
7 : |
Can
a dry piece of wood sink in liquid ( such as oil, alcohol or water
) by itself, without any external help ? |
| Question
8 : |
Can
a block of iron float by itself on the surface of a liquid ( such
as water, oil or mercury ) without an external force ? |
| Question
9 : |
Is
the upthrust exerted by a liquid ( such as water, oil or alcohol )
related to what kind of liquid it is ? |
The test results
are announced as soon as possible 2 days before the lesson starts. If
results are bad, it will surprise the students so that their preconceptions
will lose much of their control over their organizing and interpretive
frameworks. They may become upset and refuse to listen. However, after
a period of aversion ( 2 days ), they will begin to think seriously
about their preconceptions and are ready to accept new information.
1. Teacher gets
the students to show the law of flotation by immersing a block of wood
over different base areas. It is shown that a floating object displaces
a weight of liquid equal to its own weight, depending on the volume
of the object and not on the base area submerged.

2.
Next the students perform experiments to show that the loss in weight
of the steel ball in water is equal to the loss in weight of the hollow
steel ball in water. The loss in weight of the balls in water is equal
to the upthrust of either balls, dependent completely upon its submerged
volume and not on whether or not there was air in the ball.
3. Demonstration: Both parts of a plasticine ball will sink because
both are denser than water . The smaller part has the same density.
4. The difference in the upward and downward force acting on the submerged
block is the same at any depth.
5. Yes , a piece of paraffin pressed to the bottom of the beaker rises
when released.
6. Yes, upthrust is dependent on the volume of the object. Demonstration:
Suspend both alternately on a spring balance and note the loss in weight
of each object in water.
7. Study activity : Sink a dry twig in liquid less dense than dry wood.
8. Student demonstration : Float a block of iron on a beaker of mercury.
9. Student demonstration : Float a block of iron on the mercury and
then repeat in water.
Contrasting this
new information organized according to scientific concepts and the students'
preconceptions appeal to their reasoning, thus making it easy for them
to absorb the new information and modify preconceptions. Thus self-regulation
will emerge and develop in this prosess of teaching by comparison.
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Strategy
D : Further concept development on Archimedes' Principle is
built up as student go throught this guided worksheet.
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Archimedes' Principle

1. Consider a ballon
filled with 1 liter ( 1 000 cm3 ) of water in equilibrium in a container
of water as shown in the figure.
(a) What is the
mass of the 1 liter of water ?
(b) What is the weight of the 1 litre of water ?
(c) What is the weight of water displaced by the balloon ?
(d) What is upthrust on the balloon ?
(e) Sketch a pair of vectors in the figure, one for the weight of
the balloon and the other for the upthrust that acts on it .
(f) How do the size and directions of your vectors compare ?
2. As a thought
experiment, pretend we could remove the water from the balloon but still
have it remain at the same size of 1 litrer and the inside of the balloon
is a vacuum.
(a) What is the
mass of the litre of nothing ?
(b) What is the weight of the litre of nothing ?
(c) What is the weight of water displaced by the massless balloon
?
(d) What is the upthrust on the massless balloon ?
(e) In which direction would the massless balloon be accelerated ?

3. Assume the balloon
is replaced by a 0.5 kilogram piece of wood that has exactly the same
volume (1000 cm3 ) as shown in the figure. The wood is held in the same
submerged
position beneath the surface of the water.
(a) What volume
of water is displaced by the wood ?
(b) What is the mass of the water displaced by the wood ?
(c) What is the weight of the water displaced by the wood ?
(d) How much upthrust does the surrounding water exert on the wood
?
(e) When the hand is removed, what is the net force on the wood ?
(f) In which direction does the wood accelerate when released ?

4. Repeat parts
(a) through (f) in the previous question for a 5 kg rock that has the
same
volume (1000 cm3 ) as shown in the figure. Assume the rock is suspended
by a string in
the container of water .
(a) What volume
of water is displaced by the rock ?
(b) What is the mass of the water displaced by the rock ?
(c) What is the weight of the water displaced by the rock ?
(d) How much upthrust does the surrounding water exert on the rock
?
(e) When the hand is removed, what is the net force on the rock ?
( hand here refers to
the string )
(f) In which direction does the rock accelerate when released ?
SUGGESTIONS FOR MODIFICATION
1. Questions given
in the Strategy A can either be extended or refined. Examination format
could be used to contain these questions.
2. Before carrying the prescribed experiments to justify the explanations
of questions in Strategy A, it will be a great help if a teacher could
invoke in students' mind, the concept of a "fair test".
3. It will foster a better thinking skills if students are asked to
design a fair test so as to equilibrate whatever cognitive dissonances
that arise due to the conflict of preinstructional ideas (before views)
and the scientific view.
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