Mathematics’s instructions must to ensure that students thoroughly understand the study material, are able to recall the previous knowledge and apply the same in future.It is vital that students not only are able to recall a procedure or formulas to prepare for an assessment, but most importantly are able to understand and retain the core concept forever. It is thus important on the part of the teacher that to ensure that the students whether not only understand the material but are able to recall and apply the concepts themselves. The students should not just memorize the procedures.Based on a experience and thought, historian have identified six effective ways to teach the maths.1. The first impression is the last:The first couple minutes of a lecture are extremely vital as they would set the tone for the whole class thereafter. Teachers should try and start by sharing the birds-eye view of the lesson in order to help students familiarize themselves as to what they expect to know and learn from the class. Thereafter it is the teachers’ job to make sure that the learning objective is met. Lastly, they should self-assess whether the objectives have been achieved or not. The opener of the lecture, should thus be meticulously thought through. it could possibly include one or more exercises problems too, to help assess students’ past knowledge and applying the same to a new material.2. Multiple solution to a problems:As it is well know, maths is dynamic. While every question has the same answer, there is no one way to arrive at the answer.The teachers must thus learn and familiarize themselves with the maximum possible ways to solve a given problem and teach them to the students. This apart, the teacher should also encourage students to come with their own creative ways to solve the problems. One way of doing this is to group students into pairs of 2 or 3 and ask them to solve a problem in different ways. This will help expose students to develop a deep understanding of the topic. If students are able to develop their own method and procedure, then share their achievement with the class which will make learning experience fun and powerful.3. The more the merrier:We all know that no one student is alike. Each student is unique and has his / her own needs and caliber to understand a problem, retain it and apply it in future. Keeping all these in mind, a teacher should develop a presentation / lecture that is able to cater to the needs of maximum students. The teacher must use a wide spectrum of representations. The more the number examples shared and thought, more will be its reach to the students. Remember, the more the merrier.4. Show the applicationAs good as theory is to help explain a concept, more important is to explain how it can be applied in real-life. There are many concepts that have been left halfway though given the lack of knowledge / tools at the time of its inception. There are several others which may have application not only in maths but in other fields / subjects as well. Demonstrating things practically help students develop a deep understanding of the same and also come up with creative ways to apply it, which may never have been though of. 5. SummarizeAs we move towards the end of the lecture, use the last few minutes to recapture everything that has been thought so far. These minutes attain importance as it will help assess whether students have understood the learning objective.6. Reasoning or no reasoning.Whenever students solve a problem, the teacher should question their logic and the student must be able to demonstrate their logic. This is essential to gauge whether students are simply cramming a solution or are truly able to understand the objective.This apart, the students must also be encouraged to communicate their reasoning with each other. This will motivate engagement and learning at the same time.