The problem-based study is the approach to learning that puts students into active problem solvers. In PBM, students are asked to face problems that are relevant to daily life or the work world. They were later encouraged to find solutions to the problem by using the knowledge and math skills that they had learned.

Why is PB important in Math Studies?

• Relevance: PBM connects mathematical concepts to real situations, so students can see mathematical relevance in their lives.
• Motivation: By solving interesting problems, students will be more motivated to learn math.
• Critical Thinking Skills: PPM trained students to think critical, analyze problems, and find creative solutions.
• Collaborate: PBM encourages students to cooperate in groups, thereby increasing communication and collaboration skills.

Step-step in PBM

1. Introduce Problem: Teachers present complex and relevant problems with student life.
2. Analysing Problem: Students work together in groups to understand problems, identify relevant information, and formulate questions.
3. Searching for Information: Students seek the information needed to solve problems, whether it's books, internet, or other sources.
4. Develop Hypothetically: Students formulate a hypothesis or a temporary guess as a solution to the problem.
5. Testing Hypothetically: Students test their hypothesis by using the concept and mathematical skills they've learned.
6. Results evaluating: Students evaluate the results that they earn and conclude whether their hypothesis is correct.
7. Presenting Results: Students present their work to the classroom.

Example PB Applications in Mathematics

• Building Bridge: Students are asked to design strong and efficient bridges using the concept of geometry and statistics.
• Analysing Conflict Data: Students analyze population data to predict future population growth and devise development plans.
• Manage Finance: Students make family budgets, count loans, and plan investments.

Challenge in Importing PBM

• Teacher's preparations: Teachers need to design interesting and relevant problems, as well as have deep knowledge of the material they're taught.
• Time: PBM takes longer than traditional learning methods.
• Resource: Teachers need to provide enough resources to support student learning activities.

PB benefits for Students

• Understanding Deeper Conception: Students will understand the mathematical concept when they apply it in real situations.
• High Thinking Skills: PBM developed critical, creative, problem solving skills.
• Positive Attitude to Mathematics: Students will love math more because they see relevance and benefits in everyday life.

Conclusion

Problem-based learning is an effective approach to teaching math. By giving students a chance to solve relevant problems, students will be more motivated, active, and understand the mathematical concept better.

Source: Van de Walle, J. A., Karp, K. S., & Bay- Williams, J. M. (2014). Elementary and middle school mathematics: Teaching development (9th ed.). Pearson.