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For example, determining the volume of a sphere requires a significant amount of integral calculus or its geometrical analogue, the method of exhaustion; [6] but, having done this once in terms of some parameter (the radius for example), mathematicians have produced a formula to describe the volume.
The organization produces short video lessons. [5] Its website also includes supplementary practice exercises and materials for educators. It has produced over 10,000 video lessons [6] teaching a wide spectrum of academic subjects, including mathematics, sciences, literature, history, and computer science.
A typical sequence of secondary-school (grades 6 to 12) courses in mathematics reads: Pre-Algebra (7th or 8th grade), Algebra I, Geometry, Algebra II, Pre-calculus, and Calculus or Statistics. However, some students enroll in integrated programs [3] while many complete high school without passing Calculus or Statistics.
Duolingo Math covers math topics through an interactive and gradual approach. It starts with basic arithmetic—addition, subtraction, multiplication, and division. The app also teaches fractions and decimals, focusing on comparing, converting, and calculating. Geometry lessons include understanding shapes, calculating area and volume.
Math Messages—These are problems, displayed in a manner chosen by the teacher, that students complete before the lesson and then discuss as an opener to the main lesson. Mental Math and Reflexes —These are brief (no longer than 5 min) sessions “…designed to strengthen children's number sense and to review and advance essential basic ...
The Principles and Standards for School Mathematics was developed by the NCTM. The NCTM's stated intent was to improve mathematics education. The contents were based on surveys of existing curriculum materials, curricula and policies from many countries, educational research publications, and government agencies such as the U.S. National Science Foundation. [3]
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