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Susan Baker Empson is an American scholar of mathematics education whose work includes longitudinal studies of children's mathematical development, the use of Cognitively Guided Instruction in mathematics education, analyses of childhood understanding of the concept of fractions, and research on the professional development of mathematics educators.
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]
Cuisenaire rods illustrating the factors of ten A demonstration the first pair of amicable numbers, (220,284). Cuisenaire rods are mathematics learning aids for pupils that provide an interactive, hands-on [1] way to explore mathematics and learn mathematical concepts, such as the four basic arithmetical operations, working with fractions and finding divisors.
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.
For example, a second Minicomputer's squares – placed to the left of the first – will represent 10, 20, 40, and 80; a third, 100, 200, 400, and 800, and so on. Minicomputers to the right of a vertical bar (placed to the right of the first board, representing a decimal point) may be used to represent decimal numbers.
The app also teaches fractions and decimals, focusing on comparing, converting, and calculating. Geometry lessons include understanding shapes, calculating area and volume. Measurement is another focus, with exercises on using and converting different units like length and time. Duolingo also allows its users to play math games. [70]