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I am a giant fan of serving to college students use STRATEGIES when approaching math as a substitute of mindlessly following the steps of an algorithm. Personally, I not often comply with the order of operations when simplifying a mathematical expression. Having quantity sense signifies that you take a look at the mathematics process and THINK about it and discover methods to interrupt aside and regroup extra effectively when it may be achieved. Nevertheless, I’ve by no means achieved this with fractions.
The usual algorithm requires transport.
Including 19 and 23 utilizing the usual algorithm is certainly slower. when i see this downside i wish to add one and subtract one.
I used to be capable of EASILY do that transformation in my head. The ensuing expression is considerably simpler so as to add than the primary expression.
What about fractions?
However what about viewing fractions this manner? I noticed this tweet from Jennifer Bay-Williams with an instance of a pupil including combined fractions. I had an epiphany: How did I by no means consider doing this? It is virtually like I want permission to rethink how I strategy fractions.
The problem of instructing college students simply the usual algorithm… and cringing if they do not do it precisely as we present them… is that college students aren’t being requested to assume. They’re requested to REMEMBER.
[Tweet]The primary strategy to a math downside must be to THINK about it. Do not compete with a calculator. [/tweet]
Fractions are half of an entire. How do I get a complete?
Utilizing the commutative property I can organize fractions and complete numbers individually. THINKING about fractions I can ask, “how do I make a complete?” This helps me take into consideration the idea of fractions and never simply the steps.
Typically the usual algorithm is quicker and generally it’s not. College students have to cease and THINK concerning the math issues earlier than diving into the algorithm. Serving to them change into extra versatile with numbers and making use of methods the place applicable will assist them change into extra assured and proficient in math.
—Jennifer BayWilliams (@JBayWilliams) November 4, 2022
Grabable math board
To create the pattern math issues, I used the Graspable Math Board.
College students should decompose fractions
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As a substitute of diving into the steps of including fractions, have college students see how they’ll divide the fractions to make it simpler to deal with the mathematics downside. Have college students decompose fractions as one other method to consider numbers.
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Students Should Decompose Fractions – Teacher Tech