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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.
To teach integer addition and subtraction, a number line is often used. A typical positive/negative number line spans from −20 to 20. A typical positive/negative number line spans from −20 to 20. For a problem such as “−15 + 17”, students are told to “find −15 and count 17 spaces to the right”.
Fractions are introduced at age 9/10, decimal numbers and proportions at age 10/11, percentages and rates of interest at age 11/12, algebra at age 12/13. At the secondary level, topics include algebra, geometry , conics , trigonometry , probability , combinatorics and calculus .
For instance, the rational numbers , , and are written as 0.1, 3.71, and 0.0044 in the decimal fraction notation. [100] Modified versions of integer calculation methods like addition with carry and long multiplication can be applied to calculations with decimal fractions. [ 101 ]
The Mathematics Tutor (Beal, Beck & Woolf, 1998) helps students solve word problems using fractions, decimals and percentages. The tutor records the success rates while a student is working on problems while providing subsequent, lever-appropriate problems for the student to work on.