In mathematics, the term "either side of the origin" refers to the two halves of the coordinate plane that are separated by the origin (0,0). On the left side of the origin, the x-coordinate is negative, and on the right side, the x-coordinate is positive. Similarly, the y-coordinate is negative above the origin and positive below it. This division is crucial for understanding the behavior of functions and equations in different quadrants of the coordinate plane.

The concept of the origin as a dividing point is essential in various mathematical contexts. For instance, in calculus, the origin is used to determine the limits of functions as they approach positive or negative infinity. In geometry, the origin helps define the orientation and size of shapes. Additionally, in algebra, the origin is the starting point for graphing linear equations and understanding the relationship between variables.

Data from educational research supports the importance of understanding the origin in mathematics education. A study by the National Council of Teachers of Mathematics (NCTM) found that students who have a strong grasp of the coordinate plane and its quadrants perform better on standardized mathematics assessments (NCTM, 2000). This underscores the significance of teaching the concept of the origin and its implications for students' mathematical development.