PRED 356 Methods of Science and Mathematics Teaching
Chapter 4: Discovery Learning (DL)
 
 
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  1.2 Conducting of DL

  1.2.1 Preplanning

When preparing discovery lesson, followings should into account;

  • Determine the general purpose of the lesson,
  • Determine the specific lesson objectives: identify the concepts, facts, generalizations, rules or laws to be discovered,
  • Collect useful resources and material (to attain abstraction),
  • Plan the discovery lesson,
  • Ensure readiness of learners to use inductive.

  •   1.2.2 Delivering (Implementing)

    The implementation phase can be in two different forms . These are inductive and deductive forms.

    Inductive Discovery (specific to general)
  • begin with a series of experience.
  • find pattern
  • induce a general rule
  • Example (Inductive Discovery)

    1 T Today we are going to examine a relation that has challenged mathematicians, for a long time. To begin, let us consider the following statements.
    20=17+3, 22=19+3, 24=17+7, 26=13+13
    Does anyone notice a pattern in these statements?

    2 S The numbers on the left side are all even numbers in the twenties

    3 T O.K. How about the addends on the righthand side?

    ........................

    25 T Will someone venture a final statement concerning even numbers and odd primes?

    26 S Well, any even number greater than 4 is equal to two odd primes added together.



    Deductive Discovery ( general to specific)
  • begin with a set of premises (“rules”)
  • apply these rules to specific instances
  • derive a conclusion
  • Example (Deductive Discovery)

    1 T In applying Cramer’s rule for solving this system of equations.
     3x - 2y = 6
    -9x + 6y = -3, what did you obtain, S?

    2 S For D(x) I got 30, for D(y) I got 45, but for the denaminator I got 0.

    3 T O.K. What is your solution, then?

    ........................

    15 S Well, the graphs of those lines might be paralel.

    ........................

    22 T Very good! What is the determinant formed from the coefficients of x and y for these two parallel lines?
    ........................

    During the implementation:
  • Utilize questions that will promote discovery
  • Ensure that learners know what they are supposed to do
  • Monitor and guide student activity and thinking,
  • Encourage observation, collection and organization, manipulation, analysis of ideas and data, and so forth.
  • Encourage supportive peer interaction and evaluation of thinking and ideas.
  •   1.2.3 Evaluation

    Assess progress toward outcomes, by and for both teacher and learner, continually during learning.
    Moment-by-moment, meeting-by-meeting, course-by-course,

    Evaluate attainment of outcomes rigorously as each learning opportunity concludes.
    Moment-by-moment, meeting-by-meeting, course-by-course,

    The aim is to assess students’ attainment of the learning outcomes devised by looking at work in courses .
    • seek to identify the instructional contents, structures, and processes that result in attainment of these outcomes.
    • seek to encourage the wider use of these proven techniques.
    • seek also to encourage faculty and students to identify additional effective learning techniques.
    Assessment provides an impetus for active student involvement, a proven “best practice”.
     
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