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TEACHING
APPROACHES IN
MATHEMATICS
NAME MATRIC NO
NURUL HIDAYAH BINTI ABDUL HALIM D20101037326
NUR SHAFIQAH BINTI ABDUL RASHID D20121058738
Teaching Approaches
• Effective teaching strategy might begin with
student-centered teaching.
• By carrying out various activities, will make learning
more interesting and meaningful. I
• n addition to presenting the subject content with
traditional didactic approach, it is recommended
that students engage more actively in the learning
process.
• Teaching should also be related to real life situations
Phases of learning
process
Processing/Storing
exploring,
understanding,
comprehending,
memorizing, repeating
Absorption
watching, smelling, touching,
tasting, hearing, feeling,
perceiving, experiencing
Transfer
application, testing, handling
new tasks, confidence, action
1.PROCEDURAL APPROACH
• Use of the procedural approach is the traditional way that math has been
taught.
• The procedural approach in mathematics education may be defined as teacher-
led, direct instruction of rules or procedures for solving problems.
• Procedural-based instructional approcah involves the student’s learning
algorithms and formulas and how to apply them to solve mathematical
problems.
• Rote memorization , drill , and practice are methodologies often utilized by
teachers in a procedural-based mathematics instructional program.
• Procedural-based mathematics instruction emphasizes the acquisition of basic
skills and precision ,accuracy and fluency in their execution.
• The fundamental premise is that students must know specific mathematics
con-tent before they can acquire higher skills or truly gain conceptual
understanding of mathematics .
Example
Area = length X width
What is the area of the rectangle
- Student need to know the formula first
- Then they can answer the question
2.CONCEPTUAL APPROACH
• conceptual-based instruction seeks to provide the
reason why these algorithms and formulas work.
• Example :
Ask pupils to find the sum of two odd numbers like
3+5=8, 5+7=12,9+11=20, etc. They will find that the sum
of two odd numbers is an even number.
3.Inductive METHOD
• Used to get the formulas, facts or general
characteristics of the study on some specific
examples of mathematics
• Pupils should study math examples, comparisons
and analysis and making conclusions
Examples of
specific
mathematical
containing
the same
formulation
Review,
compare and
analyze
samples for
generalizing
-Make a
statement
-Get the facts
mathematics
-Got a
mathematical
concepts
-Got a
mathematical
law
Example
• Look carefully at the following figures. Then, use
inductive reasoning to make a conjecture about
the next figure in the pattern
• If you have carefully observed the pattern, may be
you came up with the figure below:
4.Deductive method
• Deductive method is based on deduction
• In this approach we proceed from general to
particular and from abstract and concrete
• At first the rules are given and then students are
asked to apply these rules to solve more problems
• This approach is mainly used in Algebra, Geometry
and Trigonometry because different relations, laws
and formulae are used in these sub branches of
mathematics
• Deductive approach proceeds form
o General rule to specific instances
o Unknown to know
o Abstract rule to concrete instance
o Complex to simple
• Steps in deductive approach
o Clear recognition of the problem
o Search for a tentative hypothesis
o Formulating of a tentative hypothesis
o Verification
Example
Example 1:
Find a2 X a10 = ?
Solution:
General : am X an = am+n
Particular: a2 X a10 = a2+10 = a12
Example 2:
Find (102)2 = ?
Solution:
General: (a+b)2 =a2+b2+2ab
Particular: (100+2) 2 = 1002 + 22 + (2 x 100 x 2)
= 10000+4+400= 10404

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Teaching approaches

  • 1. TEACHING APPROACHES IN MATHEMATICS NAME MATRIC NO NURUL HIDAYAH BINTI ABDUL HALIM D20101037326 NUR SHAFIQAH BINTI ABDUL RASHID D20121058738
  • 2. Teaching Approaches • Effective teaching strategy might begin with student-centered teaching. • By carrying out various activities, will make learning more interesting and meaningful. I • n addition to presenting the subject content with traditional didactic approach, it is recommended that students engage more actively in the learning process. • Teaching should also be related to real life situations
  • 3. Phases of learning process Processing/Storing exploring, understanding, comprehending, memorizing, repeating Absorption watching, smelling, touching, tasting, hearing, feeling, perceiving, experiencing Transfer application, testing, handling new tasks, confidence, action
  • 4. 1.PROCEDURAL APPROACH • Use of the procedural approach is the traditional way that math has been taught. • The procedural approach in mathematics education may be defined as teacher- led, direct instruction of rules or procedures for solving problems. • Procedural-based instructional approcah involves the student’s learning algorithms and formulas and how to apply them to solve mathematical problems. • Rote memorization , drill , and practice are methodologies often utilized by teachers in a procedural-based mathematics instructional program. • Procedural-based mathematics instruction emphasizes the acquisition of basic skills and precision ,accuracy and fluency in their execution. • The fundamental premise is that students must know specific mathematics con-tent before they can acquire higher skills or truly gain conceptual understanding of mathematics .
  • 5. Example Area = length X width What is the area of the rectangle - Student need to know the formula first - Then they can answer the question
  • 6. 2.CONCEPTUAL APPROACH • conceptual-based instruction seeks to provide the reason why these algorithms and formulas work. • Example : Ask pupils to find the sum of two odd numbers like 3+5=8, 5+7=12,9+11=20, etc. They will find that the sum of two odd numbers is an even number.
  • 7. 3.Inductive METHOD • Used to get the formulas, facts or general characteristics of the study on some specific examples of mathematics • Pupils should study math examples, comparisons and analysis and making conclusions
  • 8. Examples of specific mathematical containing the same formulation Review, compare and analyze samples for generalizing -Make a statement -Get the facts mathematics -Got a mathematical concepts -Got a mathematical law
  • 9. Example • Look carefully at the following figures. Then, use inductive reasoning to make a conjecture about the next figure in the pattern • If you have carefully observed the pattern, may be you came up with the figure below:
  • 10. 4.Deductive method • Deductive method is based on deduction • In this approach we proceed from general to particular and from abstract and concrete • At first the rules are given and then students are asked to apply these rules to solve more problems • This approach is mainly used in Algebra, Geometry and Trigonometry because different relations, laws and formulae are used in these sub branches of mathematics
  • 11. • Deductive approach proceeds form o General rule to specific instances o Unknown to know o Abstract rule to concrete instance o Complex to simple • Steps in deductive approach o Clear recognition of the problem o Search for a tentative hypothesis o Formulating of a tentative hypothesis o Verification
  • 12. Example Example 1: Find a2 X a10 = ? Solution: General : am X an = am+n Particular: a2 X a10 = a2+10 = a12 Example 2: Find (102)2 = ? Solution: General: (a+b)2 =a2+b2+2ab Particular: (100+2) 2 = 1002 + 22 + (2 x 100 x 2) = 10000+4+400= 10404