Understanding and Overcoming Misconceptions in FPB and KPK: A Constructivist Learning Approach

FPB and KPK: Understanding and Overcoming Misconceptions

The Importance of Mathematics Education

Mathematics is a fundamental subject that plays a crucial role in our daily lives, from simple calculations to complex problem-solving tasks. It is therefore essential to ensure that students develop a strong foundation in mathematics. Two critical areas within mathematics education are FPB (Faktor Prima dan Bilangan Komposit) and KPK (Kerukunan Prima dan Kombinasi). Understanding these concepts is vital for students to succeed in their academic pursuits and beyond.

Misconceptions in FPB and KPK Material

However, misconceptions can often arise when students are introduced to these subjects, which can hinder their learning progress. A study conducted by Retnowati, Aqiila, Rizta, and Antari (2017), as well as Sari et al. (2020), revealed several misconceptions in FPB and KPK materials among students. These misconceptions are typically caused by factors related to the students themselves, their teachers, and the learning environment.

Student Factors

One misconception arises when students consider mathematics to be a difficult and boring subject, which affects their understanding of the material presented by their teachers (Retnowati & Aqiila, 2017; Rizta & Antari, 2018; Sari et al., 2020). Additionally, students may perceive FPB and KPK material as complicated, which can lead to low understanding and incorrect preconceptions (Retnowati & Aqiila, 2017).

Teacher Factors

Teachers play a crucial role in students' learning; however, their teaching methods can also contribute to misconceptions. Insufficient in-depth explanations related to FPB and KPK material can lead to misunderstandings (Retnowati & Aqiila, 2017). Teachers must deliver material that is easily understood by students and can be conveyed in an engaging manner (Retnowati & Aqiila, 2017).

Learning Environment Factors

External factors, such as the classroom environment, can also impact students' ability to focus and understand the material. Distractions from colleagues or study companions who joke around during class can hinder students from fully concentrating on the teacher's explanations (Retnowati & Aqiila, 2017).

Constructivist Learning Approach

To minimize misconceptions, a constructivist learning approach can be employed. This approach allows students to build their understanding of FPB and KPK concepts through hands-on activities and group discussions, which can improve mathematical understanding and reduce misconceptions (Retnowati & Aqiila, 2017).

Solving Story Problems

Solving story problems related to FPB and KPK material can be challenging for students. The Polya procedure, a problem-solving strategy, can help students overcome difficulties by identifying the problem, preparing a completion plan, implementing the plan, and evaluating the results (Ifanali, 2014).

Realistic Mathematics Learning

Realistic mathematics learning can also be applied to improve student activity and learning outcomes for FPB and KPK. This method involves providing contextual problems, using learning aids, group discussions, class discussions, comparing discussion results, and drawing conclusions (Sri Hartana, 2022).

Conclusion

Understanding and addressing misconceptions in FPB and KPK material is essential for students' academic success. By addressing the factors that contribute to misconceptions, employing constructivist learning and realistic mathematics learning approaches, and utilizing problem-solving strategies like the Polya procedure, educators can help students develop a strong foundation in these critical mathematical concepts.