what is an analogy for solving equation
Answers
Abstract
A total of 236 seventh grade students who had never been taught algebraic equations before, attending 10 Chilean schools of varying socio-economic status, were randomly divided into two groups at each school. The students in one group watched a 15-minute video teaching them how to solve five different first-degree linear equations using a traditional symbolic strategy, while in the other group, the students watched a 15-minute video teaching them how to solve the same equations using four analogies for solving an equation: a two-pan balance for the equals sign, a box for a variable, candies for numbers, and guessing the number of candies inside a box. The students were then tested on 12 equation solving problems, all of them written, using only symbolic notation. The group that watched the analogies video performed significantly better. Students with a below-average mathematics GPA who watched the analogies video did as well as students with an above-average GPA who watched the symbolic strategy video. Students who watched the analogies video also reached a better conceptual understanding, were better at making generalizations, did significantly better on reasoning problems involving equations, and had a better affective reaction.
Answer:
analogy reasoning in maths the word analogy comes from the Greek word one of the meaning of this word in Greek is proportion that is relation of equivalence between two ratios...