Semantic Feature Analysis A semantic feature analysis task requires students to use their reasoning skills to compare and contrast concepts among related vocabulary terms. Identifying similarities and differences was rated at the one of the best instructional strategies that affects student achievement in a study done by McREL. Instead of giving isolated answers students look for patterns and generalizations. Creating Venn diagrams and graphic organizers are similar strategies that increase student learning and retention. Natural Whole Integers Rational Irrational Real Imaginary Numbers Numbers Numbers Numbers Numbers Numbers 8 0 -3 4.3 -2.4 -6/5 155 55 11/7 -120 8 3 6.03 8/2 81 -0.5 0/9 5 3 8 5.9 7/0 16 7i 3+2i Place an X in the appropriate places in the grid. Once the grid is completed, what conclusions or generalizations can be found? Are there any patterns? What attributes are common to each set of numbers? How are the numbers similar and how are they different? Another idea for a semantic feature analysis would have equations on the left side. Across the top would be, has a positive slope, has a negative slope, has a slope of zero, has an undefined slope, has a non-zero x-intercept, has a negative y intercept and passes through the origin. Various quadrilaterals could be compared with the properties of their sides such as parallel sides, opposite sides parallel, four right angles, etc. Mathematics Teaching in the Middle School November 2002, p 146-148 An Algebra Example Equation Linear Quadratic Cubic Polynomial Degree? Number of Distinct zeros? Shape of Graph? Number of y intercepts Number of xintercepts?