Summary and Synthesis

This last week in class we have been discussing fractions. I have learned that teachers should never give the rules for solving problems with fractions right away. Students need to use visual manipulative for understanding what a fraction is, how to compare fractions, and how to add them. Manipulatives such as dot paper, fraction bars, and shapes should not be labeled so students can figure out the fraction themselves. Students also must understand that the denominator is the number being counted and the numerator is the number of parts under consideration. Also, using benchmarks such as 0, 1/2, and 1 is a great way for students to know where a fraction is on a number line, how big a fraction is, and compare the fraction to another. I have learned that students need to bring their prior knowledge of fair sharing and build their own knowledge of fractions using benchmarks, manipulatives, and other strategies.