Fractions are commonly used in high schools to develop mathematical understanding and problem-solving skills. They are essential for students to grasp concepts like ratios, proportions, and algebraic expressions, which are foundational for advanced mathematics and real-world applications.

The use of fractions in high schools is justified by several reasons. Firstly, fractions help students develop a deeper understanding of numbers and operations beyond whole numbers. According to a study by the National Council of Teachers of Mathematics (NCTM), students who are proficient in fractions are better equipped to handle more complex mathematical concepts (NCTM, 2010). For instance, understanding fractions is crucial for solving problems involving rates, percentages, and ratios, which are prevalent in various real-life scenarios.

Secondly, fractions are integral to algebraic thinking. High school algebra heavily relies on the manipulation of fractions to simplify expressions and solve equations. A report by the American Mathematical Association of Two-Year Colleges (AMATYC) indicates that students who struggle with fractions often encounter difficulties in algebra (AMATYC, 2012). By emphasizing fractions in high school, educators can lay a solid foundation for algebraic success.

Moreover, fractions are a tool for critical thinking and problem-solving. They require students to analyze problems, identify relationships between quantities, and apply logical reasoning. This process enhances cognitive development and prepares students for higher-order thinking skills. According to a study published in the Journal of Mathematics Teacher Education, students who engage with fractions demonstrate improved problem-solving abilities and critical thinking skills (Kaplan, 2015).

Data from the National Assessment of Educational Progress (NAEP) also supports the importance of fractions in high schools. The NAEP reports indicate that students who perform well in fractions tend to have higher overall mathematics achievement (NAEP, 2019). This suggests that fractions are not only a fundamental mathematical concept but also a predictor of future mathematical success.

In conclusion, fractions are commonly used in high schools due to their role in developing mathematical understanding, preparing students for algebra, enhancing critical thinking skills, and predicting overall mathematical achievement. By mastering fractions, students are better equipped to tackle more advanced mathematical concepts and apply their knowledge to real-world situations.