Formotive evaluations have become an important part of the modern education system, especially in math learning that often requires deep understanding and mastery of conceptual and practical skills. formative evaluations are an approach of judgment that aims to monitor the progress of students during the learning process, allowing teachers to adjust the education strategy based on the needs of students. Not only did it help the students understand the material better, the formative evaluation also helped the teacher get insight into the development of the students reality-time.

What's Formative Evaluation?

Formative evaluation is a continual assessment that continues during the learning process to understand the extent of which students have reached the necessary understanding. Different from the sumative evaluations that usually do at the end of the learning process to measure results, formative evaluations emphasize feedback that helps students and teachers to improve the study process constantly.

Some examples of formative evaluation methods include:

• Short quiz and daily training
• Group discussion and presentation
• Recipient or self-assessment
• Live observation by the teacher
• Use of rut or grading scale for the work the students are doing

Formal Evaluation Utility in Mathematical Learning

1. Deep Understanding Against Mathematical Concepts Mathematics requires a deep conceptual understanding, because many of the concepts of mathematics are sustainable and interconnected. With formative evaluations, students get feedback that can fix conceptual or operational errors early. It helps them strengthen the basic understanding before stepping into a more complex concept.
2. Pushing Self and Responsibility Learning Formative evaluations also encourage students to become self-taught. By carrying out self-assessment or assessment, students learn to identify mistakes and find solutions independently. In the long run, this approach increases the responsibility and ability of students to manage their own learning progress.
3. Giving Data for Teaching Strategic Adjustment By getting data on student progress, teachers can adjust method and teaching strategy. For example, if teachers find that most students have trouble understanding a topic, they can provide additional explanations or alternative approaches. This approach is very relevant in complex mathematical learning, where the method of delivery has to be adjusted to the needs of students.
4. Increase Student Self-confidence When students receive positive feedback through formative evaluations, they tend to feel more confident. They don't feel pressured by the final test because they understand the extent of their achievement, as well as have a chance to improve before the final assessment.

Effective Formal Evaluation Type in Mathematical Studies

1. Quick quiz and daily training Quick quiz is an effective method of knowing the student's understanding of the concept that has just been taught. Daily training can cover the math problems that students have to solve every day to practice understanding and identify areas that need to be fixed. This exercise gives the teacher an idea of the topic that needs to be repeated.
2. Self-Rating and Intervention In mathematical learning, self-assessment allows students to reflect their strength and weakness in doing math problems. Grading helps students work together, teach each other concepts, and provide constructive feedback. These two approaches help students learn in an interactive and collaborative way.
3. Problem Based Task Problem-based tasks facilitate students to apply mathematical knowledge in real situations. It's very important in math learning because it helps students see the relevance and practical applications of the mathematical concepts learned in class.
4. Portolio Portolio allows teachers to observe the development of students in the long run. In math learning, portfolio can cover records of how students face math problems, examples of problems that are successfully solved, as well as areas that need more attention. Portolio can also be used as a reflection for students.

Formal Evaluation Implementation in Mathematical Learning

Effective formative evaluations require mature planning and various methods of use. Here are a few steps the teacher could take in implementing a formative evaluation in math class:

1. Set Clear Learning Destination Before applying formative evaluations, teachers need to determine a specific purpose of learning. With clear goals, students can better understand what is expected of them, while teachers can focus on observing that achievement.
2. Giving Constructive feedback The constructive feedback is the main element of a formative evaluation. Teachers need to provide feedback that not only shows error, but also offers solutions to improvement. It gives students motivation and direction to continue to increase their understanding.
3. Using Technology for Advanced Grading Technology like online quiz applications or math special software can facilitate formative evaluations by giving interactive problems and feedback instantaneously. Digital platforms also allow teachers to track the development of students in the long run.
4. Attaching Students Accomplicit in Evaluation By involving students in the evaluation process, for example through self-assessment or group discussion, students feel they have control over their learning process. Besides, active engagement can encourage them to better understand matter in depth.

Case Studies: Formal Evaluation Effective Increases Increases Mathematics · Global Voices

The research done by Black and Wiliam (1998) suggests that formative evaluations can increase students' understanding, especially in subjects like mathematics that demand deep understanding. In this study, students who receive formative feedback periodically indicate a significant increase in accomplishments compared to those who only depend on sumative judgment.

Challenge in Formal Evaluation Applications

1. Limited Time One of the biggest challenges in applying formative evaluations is timing. Teachers are often limited by time and workload, so it's difficult to provide deep feedback consistently.
2. Resource Limit formative evaluations require resources, both in the form of varied technology and material evaluations. The limitations of access to suitable technology can impede the optimal formative evaluation application.
3. Student level difference Each student has a different skill and style. It demands that teachers be able to adjust formative evaluations to be effective for all students, who are often difficult to do in large classes.

Conclusion

formative evaluations play an important role in measuring the progress of math studies. By providing constant feedback and involving students in the process of grading, formative evaluations not only improve student understanding of mathematical concepts but also building critical thinking skills, independence and responsibility. Despite the challenge in his implementation, the formative evaluation benefits for student development are significant. Therefore, the application of formative evaluations in math is an important step in making sure students achieve their full potential.

Source: Black, P. & Wiliam, D. (1998). Assessment and class learning. Assessment in Education: