We looked for a list of books that were introductory in nature or that fell into the category of «must-have» mathematical reference books. Of course, there is no universal consensus, but the books below are the closest to a wish list for any aspiring mathematician or person interested in mathematics. We highly recommend each and every one of these works in this list of over 20 math books in PDF format to help you understand the math in your life.2. Introduce topics using multiple representations. The more types of representations that you can present to students addressing their different learning styles, the more likely they will truly understand the concept being presented. Different representations could include using manipulatives, showing a picture, drawing out the problem, and offering a symbolic representation.

For example, when presenting linear relationships with one unknown, illustrate to students the same problem as an equation, on a number line, in words, and with pictures. Students who are exposed to and can recognize the same relationship posed in the different representational modes are more likely to have conceptual understanding of the relationship and perform better on assessments (PDF).

In the best classroom environment, the teacher is able to show different ways to solve the same problem and encourage the students to come up with their own creative ways to solve them. The more strategies and approaches that students are exposed to, the deeper their conceptual understanding of the topic becomes. Empowering students to create their own problem-solving methods can make the teacher nervous. What if we don't follow their logic? What if they're incorrect? However, it's worth the risk to have them explore. After an individual, pair, or small group of students finish solving the class problem using a single method, encourage them to look for alternate ways to come up with the same correct solution. Having students develop their own methods and then share the correct steps with the class is a very powerful learning experience.

Learn math anime pdf