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BSEd II-A
Jaysa V. Aragon
What are contrived
          experiences?
 These are the second band of experiences in
 Dale’s Cone of Experience.
 These are “edited” copies of reality and are
 used as substitutes for real things when it is
 not practical or not possible to bring or do
 the real thing in the classroom.
What is a model?
 It is a reproduction of a real thing in a
 small, or a large scale, or exact size.
 It is a substitute for a real thing which may
 or may not be operational.
Examples:
 An atom, the solar system, the pyramid in
  Egypt. . .
Why do we make use of
            model?
 Overcome limitations of space and time
 To “edit” reality for us to be able to focus on
  parts or a process of a system that we
  intend to study
 To overcome difficulties of size
 To understand the inaccessible
 Help the learners understand abstractions
Advantages:
Models provide motivation and enhance
 learning.
Oversized objects can be reduced in size
 and can be studied in the classroom.
Some models can be purchased from
 commercial firms.
The parts can be built as to scale and can
 appear exactly like the real object.
Disadvantages:
Purchase of models can be costly.
If models are built as to scale, it could be
 time consuming.
Guidelines:
Emphasize the size of the real object while
 being used.
Use of moving models can catch attention
 and interest easily.
Encourage students to construct simple
 models with parts in correct proportion.
Some models can be kept for display for a
 long time depending on the materials used.
The most important thing to
remember when we make use
of models are:
 to make them as we could to the real things
 that represent.
If for one reason or another they could not
 replicate the real things in size and
 color, and
 we should at least cautions the user or the
 reader by giving the scale.
Criteria For Evaluation:
Is the model necessary on case you make
 use of the original?
Could some other device portray the idea
 more effectively?
Is the idea appropriate for representation in
 a model?
Is each part of the model made to the same
 scale proportionate in size?
Are the important details of construction
 correct?
Could wrong impressions of size, color and
 shape result from using this model?
Does the model oversimplify the idea?
If it is workable, will at standup under
 frequent use?
If it is made locally, is the model likely to be
worth the time, effort and money involved?
If it is purchased, will the model be used
 often enough to justify the cost?
Aims:
To give the students an exact picture of the
 thing that being discussed.
To aid the questions of the students about
 the lesson being presented.
Demonstration:
“Surface Areas of Geometric
          Solids”
What is the total surface area
of a geometric solid?
 it is the sum of the areas of all its polygonal
 faces or sides.
Surface Area of a Pyramid
 its total surface is equal to the area of the
 square base, plus the area of the four
 triangles

   Let us say each triangle has an altitude a
 and a base b. Then the total surface area is
   T.S.= 1/2ab(4)+b^2
       = 1/2a+b^2
Semi-detailed Lesson Plan in
Mathematics(Concepts and
Operations)
Level: First Year High School
Subject: Mathematics, Concepts and Operations,
          Surface Areas of Geometric Solids
I. Objectives:
  A. To know the formula in getting the surface area of a
      pyramid.
  B. To recognize pyramid through the model.
   C. To solve the surface area of a pyramid through the
      formula given.
 II. Subject Matter:
    Concept: Surface Area of a Pyramid
     Book: Math I (page 228)
III. Materials:
     model of a pyramid
     chalkboard
     ruler
IV. Teaching Strategies:
      A. Review
      B. Motivation
           I have some problems written on the board then
         they will answer it by using the formula on how to
         get the surface area of a pyramid.
      C. Lesson Proper
            a.) Presentation
-Showing on how to make a model of a pyramid.
           -Getting the surface area of a pyramid by using the
             formula given.
         b.) Development
              Discussion of the lesson is given by the teacher.
         c.) Classroom Interaction
              -Oral Participation
              -Board work
V. Evaluation:
    Quiz
VI. Assignment:
    Concept: Area of the Surface of a Cylinder(page 228)

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Contrived Experiences and Models in Teaching Mathematics

  • 2. What are contrived experiences?  These are the second band of experiences in Dale’s Cone of Experience.  These are “edited” copies of reality and are used as substitutes for real things when it is not practical or not possible to bring or do the real thing in the classroom.
  • 3. What is a model?  It is a reproduction of a real thing in a small, or a large scale, or exact size.  It is a substitute for a real thing which may or may not be operational.
  • 4. Examples:  An atom, the solar system, the pyramid in Egypt. . .
  • 5. Why do we make use of model?  Overcome limitations of space and time  To “edit” reality for us to be able to focus on parts or a process of a system that we intend to study  To overcome difficulties of size  To understand the inaccessible  Help the learners understand abstractions
  • 6. Advantages: Models provide motivation and enhance learning. Oversized objects can be reduced in size and can be studied in the classroom. Some models can be purchased from commercial firms. The parts can be built as to scale and can appear exactly like the real object.
  • 7. Disadvantages: Purchase of models can be costly. If models are built as to scale, it could be time consuming.
  • 8. Guidelines: Emphasize the size of the real object while being used. Use of moving models can catch attention and interest easily. Encourage students to construct simple models with parts in correct proportion. Some models can be kept for display for a long time depending on the materials used.
  • 9. The most important thing to remember when we make use of models are:  to make them as we could to the real things that represent. If for one reason or another they could not replicate the real things in size and color, and
  • 10.  we should at least cautions the user or the reader by giving the scale.
  • 11. Criteria For Evaluation: Is the model necessary on case you make use of the original? Could some other device portray the idea more effectively? Is the idea appropriate for representation in a model? Is each part of the model made to the same scale proportionate in size?
  • 12. Are the important details of construction correct? Could wrong impressions of size, color and shape result from using this model? Does the model oversimplify the idea? If it is workable, will at standup under frequent use? If it is made locally, is the model likely to be
  • 13. worth the time, effort and money involved? If it is purchased, will the model be used often enough to justify the cost?
  • 14. Aims: To give the students an exact picture of the thing that being discussed. To aid the questions of the students about the lesson being presented.
  • 16. “Surface Areas of Geometric Solids”
  • 17. What is the total surface area of a geometric solid?  it is the sum of the areas of all its polygonal faces or sides.
  • 18. Surface Area of a Pyramid  its total surface is equal to the area of the square base, plus the area of the four triangles Let us say each triangle has an altitude a and a base b. Then the total surface area is T.S.= 1/2ab(4)+b^2 = 1/2a+b^2
  • 19. Semi-detailed Lesson Plan in Mathematics(Concepts and Operations)
  • 20. Level: First Year High School Subject: Mathematics, Concepts and Operations, Surface Areas of Geometric Solids I. Objectives: A. To know the formula in getting the surface area of a pyramid. B. To recognize pyramid through the model. C. To solve the surface area of a pyramid through the formula given. II. Subject Matter: Concept: Surface Area of a Pyramid Book: Math I (page 228)
  • 21. III. Materials: model of a pyramid chalkboard ruler IV. Teaching Strategies: A. Review B. Motivation I have some problems written on the board then they will answer it by using the formula on how to get the surface area of a pyramid. C. Lesson Proper a.) Presentation
  • 22. -Showing on how to make a model of a pyramid. -Getting the surface area of a pyramid by using the formula given. b.) Development Discussion of the lesson is given by the teacher. c.) Classroom Interaction -Oral Participation -Board work V. Evaluation: Quiz VI. Assignment: Concept: Area of the Surface of a Cylinder(page 228)