Math wars are like two teams that disagree about how to play the game of math. Some people believe that math should be taught in a way where you memorize rules and formulas, and then apply them to solve problems. Others think that math should be taught in a way where you explore and make sense of concepts on your own, and then use that understanding to solve problems.
It's kind of like playing a game of soccer. Some people might think that the best way to learn soccer is by memorizing all the rules and formations, and then applying that knowledge on the field. Other people might think that the best way to learn soccer is by playing around with the ball on their own, practicing moves and techniques, and then finding their own way to play.
The two sides of math wars have different names. The first group is called the traditionalists or “old school” math teachers. They believe that math should be taught in a very structured way, with textbooks and lectures, and lots of practice problems. They think that memorization is key to success in math.
The second group is called the reformers or “new school” math teachers. They believe that math should be taught in a way that encourages students to think deeply about concepts, and make their own connections. They think that problem-solving is more important than memorization, and that students should be able to come up with their own methods for solving problems.
Both groups have valid arguments, but they often clash because they have different priorities. Traditionalists are concerned that students won't be able to perform well on exams if they don't memorize formulas, and reformers believe that students won't develop deeper understanding if they don't explore on their own.
It's kind of like a classroom debate where two sides argue about how to solve a math problem. One side might say that the best way to solve it is to memorize the formula, while the other side might say that the best way is to experiment with numbers and patterns until you find a solution.
In the end, both approaches have their strengths and weaknesses, and it's up to individual teachers and students to find what works best for them. The important thing is to understand that there can be many different ways to approach math, and that everyone has a unique learning style.