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Constructivism and Problem
Solving Approach
GROUP 2
 Dwi Suharadita
 Eza Ezila Eddy
 Maulia Gustika
 Nia Kurniati
1. Definition of
Constructivism
2. Learning Mathematics
According to Constructivism
3. Constructivist Learning in
Mathematics
4. Implementation of the
Constructivist Learning Mathematics
6. Evaluation of Learning
Mathematics According to
Constructivism
5. Positions of Constructivist
Teaching Between Other
Approaches
7. Example of Learning
Mathematics with Constructivism
Approach
A. Definition of Constructivism
According to Brooks & Brooks (1993)
"Constructivism is not an instructional strategy to be
deployed under appropriate conditions . Rather,
constructivism is an underlying philosophy or way
of seeing the world "
Constructivism is basically a view which is based on
activities with the students to create, interpret, and
reorganize knowledge with the individual
(Windschitl, in Abbeduto, 2004)
Some Common Concepts of Constructivist Approach
1. Students actively fostering knowledge is based on existing
experience.
2. In the context of learning, students should develop their own
knowledge.
3. The importance of actively fostering knowledge by the students
themselves through the interplay between past learning with new
learning.
4. The most important element in this theory is the person
himself actively foster knowledge by comparing new information
with existing understanding.
5. The imbalance is a major motivating factor learning.
Experts constructivist say that from a
constructivist perspective,
B. Learning Mathematics According to Constructivism
Learning Mathematics
is not a process of "packing" of knowledge carefully,
but rather about organizing activity, which activity is
interpreted broadly to include activities and
conceptual thinking.
1. A structure with the size of the internal consistency
2. An integration of various concepts
3. A convergence between the various forms of context
4. The ability to reflect and explain
5. A historical continuity
6. The attachment at various symbol systems
7. A matching the expert opinion
8. A potential to act as a tool for further construction
9. As a hint for the next action
10. An ability to justify and maintain
C. Constructivist Approach in Learning Mathematics
Implementation of a constructivist approach to
learning includes four phases :
1) apperception
4) the development and
application.
3) Discussion and
explanation of the concept
2) exploration
D. Implementation of the Constructivist Learning
Mathematics
"... in view of constructivist teacher must be constantly aware
of to try to see both actions with her students from the
student's perspective."
The quality of teaching is characterized by several widely in the learning
environment:
1) Starting from where the student is located
2) Recognize that students learn at different speeds, and different ways.
3) Involve students physically in the process of learning
4) Ask students to visualize the imaginary
Lovitt and Clarke
Coob and Steffe
E. Evaluation of Learning Mathematics According to
Constructivism
a systematic investigation of the value of a goal. Included in the
evaluation is a collection of evidence systematically to help make
decisions about :
a. Students learn
b. Development of the material
c. Program
Evaluation
Assessment
"assessment is considered as providing a thorough consideration
of an individual's functioning in the most broad sense depicts in a
variety of evidence, both qualitative and quantitative, and
therefore up to the test of cognitive skill with “paper pencil”
techniques for a number of people. "
F. Positions of Constructivist Teaching Between Other
Approaches
"A Mathematics teacher should promote and encourage the
development of each individual in the classroom to reinforce the
construction of Mathematics, for asking questions, constructing,
exploring, solving, and justification of the problems of
Mathematics and mathematical concepts. Teachers are also
expected to try to try to develop students' ability to reflect and
evaluate the quality of the construction of the students.”
Learning Mathematics with the aim constructivist approach can
be formulated as follows:
G. Example of Learning Mathematics with
Approach of Constructivism
Paying attention to the dialogued between student and teacher in
research which have been done by Fitz Simons :
Mathematics Problem Solving Approach
A. Problems and Troubleshooting
B. How to Teach Problem Solving
C. Problem Solving Strategies
D. The importance of Examination Results Return (Looking
Back)
E. Metacognition
F. Examples of Learning in Problem Solving
A. Problems and Troubleshooting
a. Understanding the problem
b. Understanding Troubleshooting
B. How to Teach Problem Solving
1. Branca (1980, Roebyanto and Yanti), confirms three general
interpretation of solving the problem .
2. Reys at.al. (1989, Ladinillah 2008) presented a summary of
the results of research on problem-solving learning.
3. To be able to teach problem solving well, there are some
things that need to be consideration.
C. Problem Solving Strategies
1. The figure Polya (1993), according to the four-step problem
solving are performed
2. To obtain a clearer picture of the problem-solving strategies
that may be introduced in elementary school children can do
the strategies
D. The importance of Examination Results
Return (Looking Back)
E. Metacognition
Some things you can do to help children develop teacher
the metacognition among others by doing the following
activities:
a) Ask questions that focus on what and why.
b) Develop various aspects of problem solving that can improve
children's achievement.
c) In the process of solving a problem, the child must actually
do it independently or in groups so that they feel directly the
vagaries of the process to reach a settlement.
G. Examples of Learning in Problem Solving
Examples approach the problem raised by Polya:
a) Understanding the issues
b) Planning for Troubleshooting
c) Solve The Problem
d) Doing Examination Back
THANK YOU

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Presentation of constructivism and problem solving approach

  • 1. Constructivism and Problem Solving Approach GROUP 2  Dwi Suharadita  Eza Ezila Eddy  Maulia Gustika  Nia Kurniati
  • 2. 1. Definition of Constructivism 2. Learning Mathematics According to Constructivism 3. Constructivist Learning in Mathematics 4. Implementation of the Constructivist Learning Mathematics 6. Evaluation of Learning Mathematics According to Constructivism 5. Positions of Constructivist Teaching Between Other Approaches 7. Example of Learning Mathematics with Constructivism Approach
  • 3. A. Definition of Constructivism According to Brooks & Brooks (1993) "Constructivism is not an instructional strategy to be deployed under appropriate conditions . Rather, constructivism is an underlying philosophy or way of seeing the world " Constructivism is basically a view which is based on activities with the students to create, interpret, and reorganize knowledge with the individual (Windschitl, in Abbeduto, 2004)
  • 4. Some Common Concepts of Constructivist Approach 1. Students actively fostering knowledge is based on existing experience. 2. In the context of learning, students should develop their own knowledge. 3. The importance of actively fostering knowledge by the students themselves through the interplay between past learning with new learning. 4. The most important element in this theory is the person himself actively foster knowledge by comparing new information with existing understanding. 5. The imbalance is a major motivating factor learning.
  • 5. Experts constructivist say that from a constructivist perspective, B. Learning Mathematics According to Constructivism Learning Mathematics is not a process of "packing" of knowledge carefully, but rather about organizing activity, which activity is interpreted broadly to include activities and conceptual thinking.
  • 6. 1. A structure with the size of the internal consistency 2. An integration of various concepts 3. A convergence between the various forms of context 4. The ability to reflect and explain 5. A historical continuity 6. The attachment at various symbol systems 7. A matching the expert opinion 8. A potential to act as a tool for further construction 9. As a hint for the next action 10. An ability to justify and maintain
  • 7. C. Constructivist Approach in Learning Mathematics Implementation of a constructivist approach to learning includes four phases : 1) apperception 4) the development and application. 3) Discussion and explanation of the concept 2) exploration
  • 8. D. Implementation of the Constructivist Learning Mathematics "... in view of constructivist teacher must be constantly aware of to try to see both actions with her students from the student's perspective." The quality of teaching is characterized by several widely in the learning environment: 1) Starting from where the student is located 2) Recognize that students learn at different speeds, and different ways. 3) Involve students physically in the process of learning 4) Ask students to visualize the imaginary Lovitt and Clarke Coob and Steffe
  • 9. E. Evaluation of Learning Mathematics According to Constructivism a systematic investigation of the value of a goal. Included in the evaluation is a collection of evidence systematically to help make decisions about : a. Students learn b. Development of the material c. Program Evaluation Assessment "assessment is considered as providing a thorough consideration of an individual's functioning in the most broad sense depicts in a variety of evidence, both qualitative and quantitative, and therefore up to the test of cognitive skill with “paper pencil” techniques for a number of people. "
  • 10. F. Positions of Constructivist Teaching Between Other Approaches "A Mathematics teacher should promote and encourage the development of each individual in the classroom to reinforce the construction of Mathematics, for asking questions, constructing, exploring, solving, and justification of the problems of Mathematics and mathematical concepts. Teachers are also expected to try to try to develop students' ability to reflect and evaluate the quality of the construction of the students.” Learning Mathematics with the aim constructivist approach can be formulated as follows:
  • 11. G. Example of Learning Mathematics with Approach of Constructivism Paying attention to the dialogued between student and teacher in research which have been done by Fitz Simons :
  • 12. Mathematics Problem Solving Approach A. Problems and Troubleshooting B. How to Teach Problem Solving C. Problem Solving Strategies D. The importance of Examination Results Return (Looking Back) E. Metacognition F. Examples of Learning in Problem Solving
  • 13. A. Problems and Troubleshooting a. Understanding the problem b. Understanding Troubleshooting
  • 14. B. How to Teach Problem Solving 1. Branca (1980, Roebyanto and Yanti), confirms three general interpretation of solving the problem . 2. Reys at.al. (1989, Ladinillah 2008) presented a summary of the results of research on problem-solving learning. 3. To be able to teach problem solving well, there are some things that need to be consideration.
  • 15. C. Problem Solving Strategies 1. The figure Polya (1993), according to the four-step problem solving are performed 2. To obtain a clearer picture of the problem-solving strategies that may be introduced in elementary school children can do the strategies
  • 16. D. The importance of Examination Results Return (Looking Back) E. Metacognition Some things you can do to help children develop teacher the metacognition among others by doing the following activities: a) Ask questions that focus on what and why. b) Develop various aspects of problem solving that can improve children's achievement. c) In the process of solving a problem, the child must actually do it independently or in groups so that they feel directly the vagaries of the process to reach a settlement.
  • 17. G. Examples of Learning in Problem Solving Examples approach the problem raised by Polya: a) Understanding the issues b) Planning for Troubleshooting c) Solve The Problem d) Doing Examination Back