What is an alternative algorithm?
• Simply put, an algorithm is a step-by-step. procedure for producing an answer. • An alternative algorithm then is simply a. different way, a non-traditional way or procedure for arriving at the solution for a computation.
What are algorithms for subtraction?
Subtraction algorithms
- Place the less number under the greater, with. units under units, tens under tens, etc.
- Begin at the right hand and take the lower figure. from the one above it and – set the difference.
- If the figure in the lower line be greater than the.
- When the lower figure is taken from 10 there.
What is the traditional algorithm for subtraction?
Subtraction Algorithm. The algorithm that is currently taught for subtraction requires “regrouping,” which has previously been called “borrowing.” This algorithm is usually illustrated with manipulatives, in which 10 is exchanged for 10 ones and 100 is exchanged for 10 tens.
Why do we need to teach alternative algorithms?
This allows students to become more confident in their ability to be successful in the math classroom. Alternative algorithms “allow students to look at math as a process” and provide them with an opportunity to think about applying multiple strategies for solving a problem.
What is the difference between invented algorithms and alternative algorithms?
Traditional algorithms are digit oriented whereas invented strategies are number oriented. Students think of problems in different ways then the normal “taught” way with invented strategies. With invented strategies, students make fewer errors.
What is lattice algorithm?
The lattice method is an alternative to long multiplication for numbers. In this approach, a lattice is first constructed, sized to fit the numbers being multiplied. If we are multiplying an -digit number by an -digit number, the size of the lattice is .
What is the equal addition method?
The equal addition used to be a very popular method for subtraction in US until the middle of 20th century. The method is based upon the idea that adding the same amount to two numbers will not affect the difference between the two numbers.
What is a standard algorithm in math?
In elementary arithmetic, a standard algorithm or method is a specific method of computation which is conventionally taught for solving particular mathematical problems. These methods vary somewhat by nation and time, but generally include exchanging, regrouping, long division, and long multiplication using a standard notation,…
What is the addition algorithm?
An algorithm is a set of steps that gets you to a result or an answer, so an addition algorithm is a set of steps that takes two numbers and finds the sum. This is similar to a computation strategy, but is a little more organized with the steps laid out clearly.
An alternate algorithm is one that is not the standard algorithm that is taught in most schools and textbooks.