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MATHEMATICS
LABORATORY
AN APPROACH IN
TEACHING MATHEMATICS
LUCRESIA P. ANTIGA
Agusan del Sur NHS
Objectives:
1. Identify types of Mathematics laboratory method.
2. Apply instructional laboratory method of teaching
Mathematics
3. State the advantages and disadvantages of
teaching laboratory method.
Factors, Prime Numbers and Composite Numbers
In this activity, pupils must be able to:
1. Give the possible factors of a whole number using
square cards.
2. Fill in the needed data in the worksheet.
3. Identify whole numbers with only one product
expression and with more than one product
expressions .
4. Define the Prime numbers and Composite Numbers.
ACTIVITY:
What to do?
- Follow the procedure stated in your worksheet.
ACTIVITY
- Then complete the given table based on your
observation.
Note: Apply what you have learned on the formula in
finding the area of a rectangle.
l x w = Area
What are the materials needed?
• at least 20 square cards for each pupil
• worksheet
ACTIVITY
In finding factors or product expression of a number 6,
you have to get 6 square cards to form a rectangle.
One Example is given for you.
Possible forms:
2 x 3 = 6
1 x 6 = 6
The factors of 6 are: 1, 2, 3 and 6
Factors, Prime Numbers and Composite Numbers
Whole Numbers Product Expressions List of all Factors Prime Number or
Composite Number
2
3
4
5
6 ,
7
8
9
10
11
12
13
14
1 x 6 = 6 2 x 3 = 6 1, 2, 3, and 6 composite
Expected Output
Factors, Prime Numbers and Composite Numbers
Whole Numbers Product Expressions List of all Factors Prime Number or
Composite Number
2 1 x 2 1 and 2 Prime
3 1 x 3 1 and 3 Prime
4 1 x 4 ; 2 x 2 1, 2, and 4 Composite
5 1 x 5 1and 5 Prime
6 1 x 6 ; 2 x 3 1, 2, 3, and 6 Composite
7 1 x 7 1 and 7 Prime
8 1 x 8 ; 2 x 4 1, 2, 4 and 8 Composite
9 1 x 9 ; 3 x 3 1, 3, and 9 Composite
10 1 x 10 ; 2 x 5 1, 2, 5 and 10 Composite
11 1 x 11 1 and 11 Prime
12 1 x 12 ; 2 x 6 ; 3 x 4 1, 2, 3, 6, and 12 Composite
13 1 x 13 1 and 13 Prime
14 1 x 14 ; 2 x 7 1, 2, 7 and 14 Composite
Definition of Prime Numbers and Composite Numbers
Prime Number
Source:
https://www.google.com.ph/search?q=definition+of+prime+numbers&oq=definition+of+prim
e+numbers&aqs=chrome..69i57j0l5.7207j1j1&sourceid=chrome&ie=UTF-8
A prime number is a whole number greater than 1 whose
only factors are 1 and itself.
Examples: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29
Composite Number
A number that has more than two factors is called
composite number.
Examples: 4, 6, 8, 9, 10, 12, 18, 20, 21, 22
What is Mathematics Laboratory Approach?
It is a method of teaching where a
student deals with firsthand
experiences regarding materials or
facts obtained from investigation or
experimentation as he resolves
problems and develops concepts,
skills and values.
What are the types Mathematics
Laboratory Approach?
1. Experimental - aims to train
students in problem solving with
incidental acquisition of
information and motor skill.
What are the types Mathematics
Laboratory Approach?
2. Observational - is a process of
presenting facts or principles by
performing something in the
presence of others.
- the acquisition of facts is the
dominant aim of this type.
Procedures:
 Introductory Step.
 Work period.
 Culminating activities.
Includes the determination
of the work to be done.
No matter what they are working
on, the learners will gain experience in
scientific procedure, handling raw material,
and using tool.
The class may get
together to discuss and organize their
individual/group outputs.
Other Example:
OBJECTIVE: To derive the formula of the cone
MATERIALS AND INSTRUMENT: cone and
cylinders of the same diameter and
height, at least 3 sets of varying
dimensions, sawdust, rice grain or
sand.
Relationship Between Cylinder and Cone
Relationship Between Cylinder and Cone
PROCEDURE: Ask the students to do the following activity:
Take each pair of cylinder and cone having the same diameter
and height
Note down the diameter and height
Fill the cone with saw dust / water or sand and empty into the
cylinder till the cylinder is full.
Count the number of times the cone is emptied into the cylinder
and note it down in a tabular column.
Repeat the same experiment with the other two sets of cone and
cylinder and note down the reading as before.
S.NO.
DIAMETER OF
CONE /
CYLINDER
HEIGHT OF
CONE/
CYLINDER
NO. OF
MEASURES OF
CONETO FILLTHE
CYLINDER
1 3 CM 5 CM 3
2 5 CM 7 CM 3
3 6 CM 10 CM 3
Relationship Between Cylinder and Cone
DRAWING CONCLUSIONS:
Guide the learners to:
S.NO.
DIAMETER OF
CONE /
CYLINDER
HEIGHT OF
CONE/
CYLINDER
NO. OF
MEASURES OF
CONETO FILLTHE
CYLINDER
1 3 CM 5 CM 3
2 5 CM 7 CM 3
3 6 CM 10 CM 3
 formulate that it takes 3 measures of cone to fill the cylinder.
Hence, Volume of cone = 1/3 volume of cylinder
But volume of cylinder = 𝝅r2h
Therefore: Volume of cone =
𝟏
𝟑
𝝅r2h
Give some topics that we could apply math lab approach.
 Factors, Prime numbers and Composite Numbers
 Relationship Between Cylinder and Cone
 Sum of Interior Angles of a Triangle
 Product of Two Binomials
What are Advantages of Math Laboratory Approach?
 A successful experiment is a source of joy and
encouragement to the learner.
 The application of mathematics becomes
increasingly evident to the learner. Thus the subject
becomes functional and meaningful to him.
 Some topics of mathematics are best
understood through this method.
What are Disadvantages of Math Laboratory Approach?
 All the topics of mathematics cannot exclusively
be taught by this method.
 It needs thorough planning and supervision,
otherwise students may just play with instruments
without deriving any substantial gain.
 It is not at all easy to make the students
discover mathematical facts experimentally,
especially in lower classes.
Healthy Balance
We can never assume that one
single method can be the best way
to present Mathematics. Nothing is
perfect. So as teachers, it is all in
our hands when and how to
present Math!
-Anonymous-
mathlab-lotty.pptx

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mathlab-lotty.pptx

  • 1. MATHEMATICS LABORATORY AN APPROACH IN TEACHING MATHEMATICS LUCRESIA P. ANTIGA Agusan del Sur NHS
  • 2. Objectives: 1. Identify types of Mathematics laboratory method. 2. Apply instructional laboratory method of teaching Mathematics 3. State the advantages and disadvantages of teaching laboratory method.
  • 3. Factors, Prime Numbers and Composite Numbers In this activity, pupils must be able to: 1. Give the possible factors of a whole number using square cards. 2. Fill in the needed data in the worksheet. 3. Identify whole numbers with only one product expression and with more than one product expressions . 4. Define the Prime numbers and Composite Numbers. ACTIVITY:
  • 4. What to do? - Follow the procedure stated in your worksheet. ACTIVITY - Then complete the given table based on your observation. Note: Apply what you have learned on the formula in finding the area of a rectangle. l x w = Area What are the materials needed? • at least 20 square cards for each pupil • worksheet
  • 5. ACTIVITY In finding factors or product expression of a number 6, you have to get 6 square cards to form a rectangle. One Example is given for you. Possible forms: 2 x 3 = 6 1 x 6 = 6 The factors of 6 are: 1, 2, 3 and 6
  • 6. Factors, Prime Numbers and Composite Numbers Whole Numbers Product Expressions List of all Factors Prime Number or Composite Number 2 3 4 5 6 , 7 8 9 10 11 12 13 14 1 x 6 = 6 2 x 3 = 6 1, 2, 3, and 6 composite
  • 7. Expected Output Factors, Prime Numbers and Composite Numbers Whole Numbers Product Expressions List of all Factors Prime Number or Composite Number 2 1 x 2 1 and 2 Prime 3 1 x 3 1 and 3 Prime 4 1 x 4 ; 2 x 2 1, 2, and 4 Composite 5 1 x 5 1and 5 Prime 6 1 x 6 ; 2 x 3 1, 2, 3, and 6 Composite 7 1 x 7 1 and 7 Prime 8 1 x 8 ; 2 x 4 1, 2, 4 and 8 Composite 9 1 x 9 ; 3 x 3 1, 3, and 9 Composite 10 1 x 10 ; 2 x 5 1, 2, 5 and 10 Composite 11 1 x 11 1 and 11 Prime 12 1 x 12 ; 2 x 6 ; 3 x 4 1, 2, 3, 6, and 12 Composite 13 1 x 13 1 and 13 Prime 14 1 x 14 ; 2 x 7 1, 2, 7 and 14 Composite
  • 8. Definition of Prime Numbers and Composite Numbers Prime Number Source: https://www.google.com.ph/search?q=definition+of+prime+numbers&oq=definition+of+prim e+numbers&aqs=chrome..69i57j0l5.7207j1j1&sourceid=chrome&ie=UTF-8 A prime number is a whole number greater than 1 whose only factors are 1 and itself. Examples: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 Composite Number A number that has more than two factors is called composite number. Examples: 4, 6, 8, 9, 10, 12, 18, 20, 21, 22
  • 9. What is Mathematics Laboratory Approach? It is a method of teaching where a student deals with firsthand experiences regarding materials or facts obtained from investigation or experimentation as he resolves problems and develops concepts, skills and values.
  • 10. What are the types Mathematics Laboratory Approach? 1. Experimental - aims to train students in problem solving with incidental acquisition of information and motor skill.
  • 11. What are the types Mathematics Laboratory Approach? 2. Observational - is a process of presenting facts or principles by performing something in the presence of others. - the acquisition of facts is the dominant aim of this type.
  • 12. Procedures:  Introductory Step.  Work period.  Culminating activities. Includes the determination of the work to be done. No matter what they are working on, the learners will gain experience in scientific procedure, handling raw material, and using tool. The class may get together to discuss and organize their individual/group outputs.
  • 13. Other Example: OBJECTIVE: To derive the formula of the cone MATERIALS AND INSTRUMENT: cone and cylinders of the same diameter and height, at least 3 sets of varying dimensions, sawdust, rice grain or sand. Relationship Between Cylinder and Cone
  • 14. Relationship Between Cylinder and Cone PROCEDURE: Ask the students to do the following activity: Take each pair of cylinder and cone having the same diameter and height Note down the diameter and height Fill the cone with saw dust / water or sand and empty into the cylinder till the cylinder is full. Count the number of times the cone is emptied into the cylinder and note it down in a tabular column. Repeat the same experiment with the other two sets of cone and cylinder and note down the reading as before. S.NO. DIAMETER OF CONE / CYLINDER HEIGHT OF CONE/ CYLINDER NO. OF MEASURES OF CONETO FILLTHE CYLINDER 1 3 CM 5 CM 3 2 5 CM 7 CM 3 3 6 CM 10 CM 3
  • 15. Relationship Between Cylinder and Cone DRAWING CONCLUSIONS: Guide the learners to: S.NO. DIAMETER OF CONE / CYLINDER HEIGHT OF CONE/ CYLINDER NO. OF MEASURES OF CONETO FILLTHE CYLINDER 1 3 CM 5 CM 3 2 5 CM 7 CM 3 3 6 CM 10 CM 3  formulate that it takes 3 measures of cone to fill the cylinder. Hence, Volume of cone = 1/3 volume of cylinder But volume of cylinder = 𝝅r2h Therefore: Volume of cone = 𝟏 𝟑 𝝅r2h
  • 16. Give some topics that we could apply math lab approach.  Factors, Prime numbers and Composite Numbers  Relationship Between Cylinder and Cone  Sum of Interior Angles of a Triangle  Product of Two Binomials
  • 17. What are Advantages of Math Laboratory Approach?  A successful experiment is a source of joy and encouragement to the learner.  The application of mathematics becomes increasingly evident to the learner. Thus the subject becomes functional and meaningful to him.  Some topics of mathematics are best understood through this method.
  • 18. What are Disadvantages of Math Laboratory Approach?  All the topics of mathematics cannot exclusively be taught by this method.  It needs thorough planning and supervision, otherwise students may just play with instruments without deriving any substantial gain.  It is not at all easy to make the students discover mathematical facts experimentally, especially in lower classes.
  • 19. Healthy Balance We can never assume that one single method can be the best way to present Mathematics. Nothing is perfect. So as teachers, it is all in our hands when and how to present Math! -Anonymous-

Notes de l'éditeur

  1. a form of inductive and guided-discovery…..This method is based on “learning by doing.”…..This can be individual or small group acitivity. This is an activity method and it leads the students to discover mathematics facts.
  2. Emphasizes discovery, original procedure, analysis and solution to problems.
  3. Introductory Step. The teacher should motivate the work at this stage. Work Period…Roam around to check their works….observe what they are doing Culminating…findingsDecide on how to present results of their individual work. Example: reporting, illustrating, exhibiting……Given problem should be answered correctly.
  4. Since the teacher will be required to pay individual attention, it may not be practicable in large classes.
  5. Choose the best strategy suited to you and your students.
  6. I hope I have shared SOMETHING NEW TO YOU TODAY…….Merry Christmas Everyone!