GTLE Mathematics Specialism case studies
GTLE Mathematics Specialism · Put your knowledge to work in context.
The GTLE Mathematics Specialism is the mathematics-field version of the Georgia Teacher Leadership Examination, a leadership-oriented assessment for certified educators who want to extend their influence beyond their own classroom. Candidates are typically experienced mathematics teachers moving toward instructional coaching, department or grade-level leadership, curriculum design, or other school- and district-level roles. The assessment is delivered in English as a multiple-choice examination and is built around six weighted domains: Number and Quantity (15%), Algebra and Functions (20%), Geometry and Measurement (15%), Statistics and Probability (15%), Mathematical Reasoning, Problem Solving, and Communication (15%), and Pedagogical Content Knowledge and Instructional Practice in Mathematics (20%). Notice that the content domains test mathematics at a genuinely rigorous level, while the pedagogy domain - the single largest - asks you to reason about how mathematics is taught, assessed, and improved across a team of teachers. The GTLE Mathematics Specialism case studies are 5 cases and about 2,985 words.
1Additive Versus Multiplicative Scaling in a Paint Mixture
Okafor teaches a seventh-grade proportional-reasoning unit to 30 students. The 14-cup group explains, “12 is 9 more than 3, so add 9 to 5.” One student in the 20-cup group writes “3×4=12, so 5×4=20.” Another writes 1.67 cups and says “divide 5 by 3.” Ms.
582 words, about 3 min2Interpreting the Vertex of a Projectile Model
Delgado's Algebra I class of 26 is analyzing the height of a ball thrown upward. The function is h(t) = −16t² + 64t + 5, where h is feet and t is seconds.
656 words, about 3 min3Linear Scale Factor Versus Area Scale Factor
In an eighth-grade geometry class, students are working with a scale drawing of a rectangular classroom. The drawing is 12 cm by 8 cm, and the scale is 1:50.
585 words, about 3 min4Weighted Averages and Grade-Level Support
A school improvement team surveys 200 students about moving the start time later. In seventh grade, 72 of 120 students favor the change.
533 words, about 3 min5Sequencing Multiple Solution Strategies in Algebra
A ninth-grade algebra team is planning a 50-minute lesson around the equation 3(x + 4) = 2x + 20. In a pre-assessment, students produce three approaches.
629 words, about 3 min