Beyond Pizzas & Pies Book Study Part 1
check out this post. If you lot demand to a greater extent than convincing close how much this mass has to offer, cheque out this curt introduction video!
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I am then excited that you lot are joining me on this journeying to larn to a greater extent than close teaching fractions. My acquire to mass for fraction teaching for the final few years has been A Focus on Fractions. I learned then much from that mass but realized that I haven't read anything on fractions inwards quite some fourth dimension then this summertime I am making fractions a priority!
The posting schedule for Beyond Pizzas & Pies (all Wednesdays)
June tenth Chapters 1&2
June 17th Chapters 3&4
June 24th Chapters 5&6
July 1st Chapters 7&8
It tin ship away move really uncomfortable to start out to inquire kids to solve problems where the parts are non partitioned equally. Many teachers (myself included!) actually balk at this persuasion at first. It tin ship away experience similar you lot are trying to play a joke on your students. What you lot are actually doing though is non letting them rely on counting pieces together with are helping them mean value close fractions rather than only repeating a procedure. Yes, kids who own got ever seen as partitioned areas together with number lines volition own got some incorrect answers together with some disequilibrium when they foremost run alongside shapes that are non partitioned as but this volition atomic number 82 to a amend agreement of fractions.
The posting schedule for Beyond Pizzas & Pies (all Wednesdays)
June tenth Chapters 1&2
June 17th Chapters 3&4
June 24th Chapters 5&6
July 1st Chapters 7&8
Chapter 1: The Problem With Partitioning: It's Not Just About Counting the Pieces
The championship of this chapter actually sums upward this issue. Over together with over again, kids are exposed to problems that exhibit as partitioned shapes or number lines together with are asked to respect the fraction. With these types of problems beingness the exclusively ones they see, kids frequently prepare strategies similar counting the pieces together with they appear to run because the exclusively problems they come across own got equal parts.
It tin ship away move really uncomfortable to start out to inquire kids to solve problems where the parts are non partitioned equally. Many teachers (myself included!) actually balk at this persuasion at first. It tin ship away experience similar you lot are trying to play a joke on your students. What you lot are actually doing though is non letting them rely on counting pieces together with are helping them mean value close fractions rather than only repeating a procedure. Yes, kids who own got ever seen as partitioned areas together with number lines volition own got some incorrect answers together with some disequilibrium when they foremost run alongside shapes that are non partitioned as but this volition atomic number 82 to a amend agreement of fractions. I honey the classroom activity described inwards this chapter using Cuisenaire Rods to assist kids come across that fractions are a human relationship betwixt the whole together with the part. Our electrical flow math curriculum does something really similar to this using blueprint blocks. The persuasion of the whole changing chop-chop during the lesson freaked me out the foremost yr I did it. I recall having a give-and-take alongside the 4th degree classroom instructor close how confusing the lesson would move to the students. Well I was really wrong. It was a chip confusing to the adults at first, but the kids loved it. I could come across their fraction agreement deepening together with they had such rich discussions close what they were noticing. To this hateful solar daytime it remains 1 of my favorite lessons. I honey the accept on this using Cuisenaire Rods. I am 1 of those people who does non role Cuisenaire Rods really frequently fifty-fifty though I own got met countless teachers who swear past times their effectiveness. I tin ship away come across how this lesson would move a really prissy agency to deepen my students fraction understanding. Because nosotros role a similar lesson already using blueprint blocks, I mean value this lesson would move a groovy for my intervention groups.
Chapter 2: Top or Bottom: Which One Matters?
The pupil at the kickoff of this chapter who over generalizes the persuasion that the bigger the denominator, the smaller the fraction could move a storey close the agency I learned fractions. One of my clearest schoolhouse memories was inwards 4th degree when I recall realizing that this dominion worked. Of course, nosotros had only started our unit of measurement on fractions together with had exclusively been working alongside unit of measurement fractions. I plugged correct along inwards my text mass thinking I was large work organisation getting ahead of the course of report together with doing the adjacent several pages exclusively to respect out afterward that I actually was doing things wrong. I had no conceptual agreement of fractions together with I don't actually recall using visual models. We had a text mass together with that was it. My instructor marked most of my answers incorrect together with "taught me" how to respect a mutual denominator when comparison fractions. That is the 1 together with exclusively strategy I had for many years. After having to a greater extent than life experience alongside fractions, I was able to say which fraction was bigger or smaller if they were fairly far apart but even then had to resort to a mutual denominator strategy for many fractions pairs.
A Focus on Fractions. This led to a huge shift inwards my ain conceptual agreement which led to a huge shift inwards my teaching. Now instead of teaching kids the physical care for for finding mutual denominators, I guide them toward developing a toolbox of strategies for comparison fractions.
One affair I mean value I even then create out alongside inwards my teaching is making certain kids are non over generalizing rules similar the larger the denominator the bigger the fraction. I acquire then excited when kids brand conjectures that I sometimes forget to halt together with inquire them if it ever works. I lately read a spider web log postal service over at Traditionalist Becoming Non Traditional about mag prompts that inquire kids if something always, sometimes or never works. I mean value adding inwards mag prompts close these conjectures kids brand could actually assist brand certain over generalization does non happen.
Watching the video clips together with reading close the activities inwards this chapter makes me actually rethink some of the number draw activities I practise together with alter them around to role the Cuisenaire rods. This seems similar a powerful manipulative for number lines together with I am currently non using them at all inwards my fraction instruction.
Now it is your turn! What did you lot mean value close these chapters? What ideas tin ship away you lot accept dorsum to your ain classroom? What are some things you lot are doing well? Let us know inwards the comments department below!
A Focus on Fractions. This led to a huge shift inwards my ain conceptual agreement which led to a huge shift inwards my teaching. Now instead of teaching kids the physical care for for finding mutual denominators, I guide them toward developing a toolbox of strategies for comparison fractions.
One affair I mean value I even then create out alongside inwards my teaching is making certain kids are non over generalizing rules similar the larger the denominator the bigger the fraction. I acquire then excited when kids brand conjectures that I sometimes forget to halt together with inquire them if it ever works. I lately read a spider web log postal service over at Traditionalist Becoming Non Traditional about mag prompts that inquire kids if something always, sometimes or never works. I mean value adding inwards mag prompts close these conjectures kids brand could actually assist brand certain over generalization does non happen.
Watching the video clips together with reading close the activities inwards this chapter makes me actually rethink some of the number draw activities I practise together with alter them around to role the Cuisenaire rods. This seems similar a powerful manipulative for number lines together with I am currently non using them at all inwards my fraction instruction.
Now it is your turn! What did you lot mean value close these chapters? What ideas tin ship away you lot accept dorsum to your ain classroom? What are some things you lot are doing well? Let us know inwards the comments department below!
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