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The geometric mean can be understood in terms of geometry. The geometric mean of two numbers, a {\displaystyle a} and b {\displaystyle b} , is the length of one side of a square whose area is equal to the area of a rectangle with sides of lengths a {\displaystyle a} and b {\displaystyle b} .
Direct instruction (DI) is the explicit teaching of a skill set using lectures or demonstrations of the material to students. A particular subset, denoted by capitalization as Direct Instruction, refers to the approach developed by Siegfried Engelmann and Wesley C. Becker that was first implemented in the 1960s.
The National Assessment of Educational Progress (NAEP) is the largest continuing and nationally representative assessment of what U.S. students know and can do in various subjects. NAEP is a congressionally mandated project administered by the National Center for Education Statistics (NCES), within the Institute of Education Sciences (IES) of ...
Van Hiele model. In mathematics education, the Van Hiele model is a theory that describes how students learn geometry. The theory originated in 1957 in the doctoral dissertations of Dina van Hiele-Geldof and Pierre van Hiele (wife and husband) at Utrecht University, in the Netherlands. The Soviets did research on the theory in the 1960s and ...
In Riemannian geometry, it is a traditional name for a number of theorems that compare various metrics and provide various estimates in Riemannian geometry. [4] Rauch comparison theorem relates the sectional curvature of a Riemannian manifold to the rate at which its geodesics spread apart. Toponogov's theorem; Myers's theorem; Hessian ...
The Next Generation Science Standards is a multi-state effort in the United States to create new education standards that are "rich in content and practice, arranged in a coherent manner across disciplines and grades to provide all students an internationally benchmarked science education." [1] The standards were developed by a consortium of 26 ...
The top grade, A, is given here for performance that exceeds the mean by more than 1.5 standard deviations, a B for performance between 0.5 and 1.5 standard deviations above the mean, and so on. [17] Regardless of the absolute performance of the students, the best score in the group receives a top grade and the worst score receives a failing grade.
Educational research. Science education is the teaching and learning of science to school children, college students, or adults within the general public. The field of science education includes work in science content, science process (the scientific method), some social science, and some teaching pedagogy.