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Title: Enhancing Thinking Skills in Science Context


1
Enhancing Thinking Skills in Science Context
  • Lesson 2
  • Causal Inference Mills Methods of causal
    reasoning

2
Effects
Causes
Inductive reasoning
Causal relationships among events
3
Form 5 groups
Study and discuss the given cases
Group presentation
4
Activity 1a
  • Disease X was recorded long time ago. People with
    disease X would have shaking chills at regular
    time intervals (usually at mid-day between 11
    a.m. to 12 noon), followed by high fever lasting
    for 2 to 6 hours. The patients may also have
    symptoms like headaches, vomiting, delirium,
    anxiety and restlessness.?
  • It was also discovered that the blood of the
    infected patients contained a micro-organism that
    was a new species of parasite at that time.

5
Activity 1a
  • Some doctors also observed that people sleeping
    outdoors were more susceptible to get the disease
    than those sleeping indoors
  • ?
  • people sleeping near a camp fire were less
    susceptible to get the disease.

6
Activity 1a
  • A doctor (Dr. R) made a lot of efforts in the
    research of disease X. He observed that Disease X
    was widely spread in the following areas in 1895

7
Activity 1a
Place Natural Environment
A Near a river
B Inside a forest
C Near the marshes
D Paddy fields
8
Activity 1a
  • Dr. R also observed that there were a lot of
    mosquitoes in places A, B, C and D. He suggested
    that mosquitoes might be responsible for the
    transmission of the micro-organisms that caused
    Disease X.

9
Task 1a
  • 1. Use flow charts / comparison tables /
    diagrams to illustrate how Dr. R arrived at his
    proposition that mosquitoes might be responsible
    for the transmission of the micro-organisms
    that cause disease X.

10
Task 1a
  • 2. Use simple diagrams to show the logic of
    the causal relationship in case 1(a).

11
Activity 1b
  • In an uneventful afternoon, four students of
    school A suffered from severe diarrhea. All of
    them went to the hospital and the doctor
    naturally suspected that the symptom might be
    related to the food eaten by the students during
    lunch.

12
Activity 1b
  • The doctor asked the students what they ate for
    lunch and their answers were as follows

13
Student Food items
1 pizza, orange juice, cookie, vegetable salad
2 hot dog, French fries, vegetable salad, iced tea
3 pizza, vegetable salad, coca cola, cheese cake
4 hamburger, orange juice, vegetable salad, cheese cake
14
Task 1b
  • 1.Use a table / diagram to show the logic of the
    possible cause of diarrhea among the students.
  • 2.Do you know the name of this method of
    establishing causal relationship?
  • 3.What is the precaution of applying the method
    (in (2)) in causal reasoning?

15
Task 1b
Case/event Circumstance Effect
1 B,C, D, A X
2 E, F, A, G X
3 B, A, H, I X
4 J, C, A, I X
16
Task 1b
  • Mills Method of Agreement (???)

17
Task 1b
  • You may get the answer vegetable salad from the
    Method of Agreement. But the pathology tests
    showed that there were no bacteria causing
    diarrhea found in the vegetable salad. The actual
    cause why these four students suffered from
    diarrhea was that the forks they used to eat the
    vegetable salad were contaminated with bacteria.
    ?
  • People will be blinded by apparent causal
    relationship but in fact there are real reasons
    other than that of observed. For instance, in the
    malaria case above people believed that the cause
    of malaria was marsh but the true reasons are
    that the parasites that cause malaria can be
    carried by mosquitoes that breed in water.

18
Activity 2
  • Micheal Faradays
  • Electro-magnetic
  • Induction Experiment

19
Activity 2
20
Activity 2
  • 1. Assemble the above experimental set-up.
  • 2. Place a bar magnet into the copper coil (no
    movement of the magnet) and observe the reading
    of the ammeter.
  • 3. Place a bar magnet into the copper coil and
    move the bar magnet forward and backward. Observe
    the reading of the ammeter.
  • 4. Repeat steps (3) and (4) by replacing the bar
    magnet with an iron bar.

21
Task 2
  • 1. Design a table to record the results of the
    above experiment.
  • 2. Suggest the cause of the change (if any) in
    Faradays Experiment.
  • 3. Use a comparison table / diagram to show the
    logic of the discovery by Faraday.
  • 4. Do you know the name of the method (in (3)) of
    establishing the causal relationship?
  • 5. What is the precaution of applying the method
    (in (4)) in causal reasoning?

22
Task 2
  • 1. Design a table to record the results of the
    above experiment.
  • Answer

Movement of magnet Movement of the pointer of ammeter
Yes Yes
No No
Movement of iron Movement of the pointer of ammeter
Yes No
No No
23
Task 2
  • 2. Suggest the cause of change (if any) in
    Faradays Experiment.
  • Answer
  • Its the movement of the magnet that causes the
    pointer of the ammeter moves.?
  • Conclusion change of magnetic field causes
    generation of electricity.
  • ?

24
Task 2
  • 3. Use a comparison table / diagram to show the
    logic of the discovery by Faraday.
  • Answer

Case/event Circumstance Effect
1 A, B, C X
2 - B, C X
25
Task 2
  • 4. Do you know the name of the method (in(3)) of
  • establishing the casual relationship?
  • Answer
  • Mills Method of Difference (???)
  • Remarks
  • Mills Method of Difference includes Experimental
    and Control groups.

26
Task 2
  • 5. What is the precaution of applying the method
    (in(4) in the causal reasoning?
  • Answer
  • If there are more than one variable in the
    experimental design, the results obtained are not
    conclusive.

27
Activity 3
  • Discovery of a strange disease by Dr. Sun
    Simiao(???)

28
Activity 3
  • Dr Sun Simiao(???) (AD 581-682) was a very famous
    doctor in Tang Dynasty. There were several rich
    people living in the capital of China, Changon.
  • ?
  • All of them got a strange disease at the same
    time.
  • ?
  • Their symptoms included leg edema, muscle pain,
    fatigue and tiredness.
  • ?
  • All the famous doctors could not treat the
    diseases.
  • ?
  • Dr. Sun was invited to treat one of the patients.
    He went to the kitchen of one of the rich
    patients. The cook told him that his master did
    not like to eat too much meat and fish but he
    liked to eat polished rice (white rice which had
    been polished several times). Dr. Sun also paid
    visits to several rich patients who suffered from
    the same diseases. He found that these patients
    had the same habit of eating polished rice.

29
Activity 3
  • 1. Use a table / diagram to show the logic of the
    discovery of the
  • cause of the disease.
  • Answer

Case Conditions Conditions Conditions Symptom
Case w x Y (ate polished rice) Leg edema, muscle pain, fatigue and tiredness
Patient A (rich) (ve gp) Yes No Yes Yes
Patient B (rich) (ve gp) No No Yes Yes
C (poor) (-ve gp) Yes No No No
D (poor) (-ve gp) No Yes No No
30
Task 3
  • 2. Do you know the name of the method (in (1)) of
    establishing the causal relationship?
  • Answer
  • Mills Joint Method of Agreement and Difference
  • (???????)

31
Task 3
  • 3. What is the precaution of applying the method
    (in (2)) in causal reasoning?
  • Answer
  • We should consider and compare as many conditions
    and symptoms as possible among the ve and ve
    groups in order to minimise the chance factor.

32
Activity 4
  • The Discovery of Radium by Marie Curie.

33
Activity 4
  • In Marie Curies time a radioactive substance,
    uranium was discovered. When uranium compound was
    placed onto a photographic plate covered with
    black paper, it produced an impression analogous
    to that which light would make on that plate. The
    impression is due to uranium rays that traverse
    the paper. These same rays are like X-rays, which
    can discharge an electroscope by making the air
    surrounds it behaves like a conductor.

34
Activity 4
  • One day when Marie Curie and his husband were
    doing research on some samples containing
    uranium, they discovered that the radioactivity
    measured was far greater than that of uranium.
    They began to suspect that the sample contained
    other radioactive active substances. Then they
    carried out numerous experiments to search for
    the unknown radioactive substance. Finally, after
    45 months hard work the couple isolated a very
    minute quantity of black power, radium chloride
    in 1902.

35
Task 4
  • 1.Show the logic (method) in the cause of the
    discovery of radium by Marie Curie.
  • 2. Do you know the name of the method (in (1)) of
    establishing causal relationship?
  • 3. What is the precaution of applying the method
    (in (2)) in causal reasoning?

36
Task 4
  • 1. Show the logic (method) in the cause of the
    discovery of radium by Marie Curie.
  • Answer
  • Symbolically, the Method of residues can be
    represented as
  • A B C occur together with x y z
  • B is known to be the cause of y
  • C is known to be the cause of z
  • Therefore A is the cause of x
  • e.g.
  • 1. Let A be Uranium and a be the radioactivity
    measured due to the effect of A
  • 2. Let B be the unknown radioactive substance and
    b be the radioactivity measured due to the
    effect of B.
  • 3. Since the radioactivity measured was higher
    than expected (a bgta), then the source of the
    radioactivity must come from radioactive
    substance (s) other than A.

37
Task 4
  • 2. Do you know the name of the method (in (1)) of
    establishing the causal relationship?
  • Answer
  • The induction method is called Method of
    Residues.

38
Task 4
  • 3. What is the precaution of applying the method
    (in (2)) in causal reasoning?
  • Answer
  • Only when it is clear that certain part of the
    phenomenon or observation is due to some
    recognized reason/factors, can the factor/reason
    that can account for the remaining part of the
    observation/phenomenon be confirmed.?
  • Sometimes it is difficult to use the Method of
    Residue to find the causal relationship because
    the remaining factor found is a compound factor.
    As in the discovery of radium, Marie Curie first
    isolated Po (plutonium) and then found radium
    which contributed to the major difference in the
    observed radioactivity of the uranium sample

39
Activity 5
  • Air pollution increases hospital admissions for
    patients with chronic obstructive pulmonary
    disease in Hong Kong

40
Activity 5
  • In Hong Kong, Chronic Obstructive Pulmonary
    Disease (COPD) was the 5th leading cause of
    death, and accounted for at least 4 of all
    public hospital acute admissions in 2003. The
    prevalence of COPD among elderly Chinese (age 70
    years) living in Hong Kong is estimated to be 9.
    Previous studies have shown that pulmonary
    function and quality of life among patients with
    COPD were adversely affected by frequent
    exacerbations.

41
Activity 5
  • A study has just been published in the journal
    THORAX was carried out by the Department of
    Medicine and Therapeutics and the Department of
    Community and Family Medicine, the Chinese
    University of Hong Kong. This study assessed the
    relationship between the levels of ambient air
    pollutants and the hospitalisation rate due to
    COPD in Hong Kong.

42
Activity 5
  • Data of daily emergency hospital admissions to 15
    major hospitals in Hong Kong for COPD and indices
    of air pollutants (sulphur dioxide SO2,
    nitrogen dioxides NO2, ozone O3, particulates
    with an aerodynamic diameter of less than 10µm
    PM10 and 2.5µm PM2.5) and meteorological
    variables from January 2000 to December 2004 were
    obtained from several government departments.

43
Activity 5
  • Significant associations were found between
    hospital admissions for COPD with all 5 air
    pollutants. For every 10µg/m3 increase in SO2,
    NO2, O3, PM10 and PM2.5, there was 0.7, 2.6,
    3.4, 2.4 and 3.1 increases in the rates of
    COPD hospitalisations respectively. O3 had the
    strongest effect on COPD hospitalizations. The
    effect of SO2, NO2, and O3 had a stronger effect
    on COPD admissions in the cold season (December
    to March) than during the warm season.

44
Activity 5
  • Adverse effects of ambient concentrations of air
    pollutants on hospitalisation rates for COPD are
    evident, especially during the winter season in
    Hong Kong. Measures to improve air quality are
    urgently needed.
  • (Press Release of CUHK 6 March 2007)

45
Task 5
  • 1. Use one or two sentences to describe the
    findings of the Chinese University of Hong Kong?
  • 2. Please use a table/diagram to represent the
    logic in establishing the causal relationship. Do
    you know the name of the method (in (2)) of
    establishing such causal relationship?
  • 3. What is the precaution of applying the method
    (in (2)) in causal reasoning?

46
Task 5
  • 1. Use one or two sentences to describe the
    findings of the Chinese University of Hong Kong?
  • Answer
  • Air Pollution Increases Hospital Admissions
    for Patients with Chronic Obstructive Pulmonary
    Disease in Hong Kong.

47
Task 5
  • Evidence There is a direct correlation between
    the degree to which the cause occurred and the
    degree to which the effect occurred.
  • Conclusion A and x has a causal relationship. A
    is the cause of x.

Case/event Circumstance Effect
1 A, B, C X
2 A, D, E X
3 A-, F, G X-
48
Task 5
  • Concomitant Variation

49
Task 5
  • a) Two events have correlation but it is not
    necessary for them to have causal relationship.
    For instance, many overweight people would die at
    young ages. However, overweight is not a direct
    cause of early death.
  • b) Many irrelevant factors would increase or
    decrease concomitantly. For instance, both of the
    average rain falls per year and the birth rates
    in Hong Kong have been decreasing. It is not
    likely that the amount of rainfall affects the
    birth rate.
  • c) There is a limit to degree of change in
    circumstance and effect
  • d) The circumstance must be the only cause for
    the effect

50
Make observations
Analyse and interpret the observations
Draw conclusions about the causal relationships
51
Method of Difference ???
Method of Agreement ???
Joint method of Agreement and
Difference ???????
Mills methods in Causal reasoning
Method of Concomitant Variation ???
Method of Residues ???
52
What are your comments on Mill?s Methods of
causal reasoning?
53
Mills methods of causal reasoning
  • Discovery or Proof ?
  • - cant be used to discover the cause of some
    observed event
  • - can only be used to establish the correlation
    between the occurrences of distinct events

54
Mills methods of causal reasoning
  • Confirmation
  • - as tools for confirming
  • hypotheses
  • - useful if we have already
  • proposed several specific hypotheses about
    what may be the cause of an observed event
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