Mathematics is one of the important concepts of life that people deal with in everyday life. In fact, most people didn't recognize it. Teaching mathematics is not easy, in fact most students hate mathematics apart from other subjects. Most students say it is very difficult and contains a lot of calculations and use of formulas. In fact, it is about how to teach it and what teaching approach to use to arouse the interest of learners and how the approach can broaden and broaden the learning capabilities of learners. Therefore, the intention of this essay is to discuss the role that discovery and direct instruction approach play in teaching mathematics in the classroom. The discovery teaching approach is a very effective teaching approach that has been primarily used in teaching mathematics. This simply means that children have been presented with problems and they have to conduct their own research and experiments using formulas and equations in order to find their results based on a given topic. In this situation, students must use their prior knowledge to solve the problems. The discovery approach is a very interesting concept; it captures the interest of individuals in finding solutions to satisfy them. According to Borthick and Jones (2000), they explained that in discovery learning, participants learn to recognize a problem, characterize what a solution would look like, search for relevant information, develop a solution strategy, and execute the chosen strategy. is very beneficial in teaching mathematics. It is one of the teaching methods that most teachers use as part of their teaching strategies. They found that it contributes a lot to the development of their cognitive skills, by engaging...... middle of paper ......ute their personal interest on how to convey the topic. This is effective and useful when there are not enough resources for students to work individually. In conclusion, mathematics is a very important subject that can be taught using the two teaching approaches mentioned earlier. In fact, both teaching approaches mentioned are good for teaching mathematics. The very important thing that teachers need to consider is how to prepare them before embarking on each of the teaching approaches. Both teaching approaches have their own strengths and weaknesses that teachers can take into account in order to modify children's learning abilities. Children's learning is in their hands, so it is best for teachers to master the skills needed to teach each concept so that they are able to meet any challenges that may arise in their teaching..