Elementary math chat is a weekly math chat where participants come to discuss best practices, examine student work, explore routines for reasoning and research that guides and supports pedagogy centered on problem and student based learning.
Welcome everyone!
Please introduce yourself, and say hi to someone new.
Who are you?
Where are you from?
What is your role?
What is your favourite probability task?
#elemmathchat
Q1 Where do you feel that these probability words should go on the number line?
Assign each word a value and tell us where it should go.
eg I think likely is 0.85
#elemmathchat
Hi there! Cindy, Math Coordinator, from Murfreesboro City Schools. My favorite probability task is Princess and the Tiger. Does that date me? #elemmathchat
My name is Natalie from Ozark Missouri I’m a math coach. My favorite probability task is with 2 dice and Pennies and you are looking to find the sum that most often occurs!!! #ElemMathChat
A1 I think of these terms as related to the median. The more probable the closer to 1 they get. The less probable closer to 0. Sometimes would be about mid point or .5 #ElemMathChat
A2
Looking for patterns:
It’s been a while since __ has happened.... so it must happen soon.
___is unlucky
Let’s remember that probability has “no memory”
#elemmathchat
A2: Due to the lack of time for lots of trials, sometimes probability activities do not equal “ahas”. Just like scientific process experience. #elemmathchat
A2 When flipping a penny and Ss know it's equally likely that they'll get heads or tails, they think that means that every series of trials will result in half heads and half tails. #elemmathchat
The biggest misconception is that you “win” more than you “lose”. Since many of my students visit our neighbor state’s casinos on visits with parents I try to educate early.#elemmathchat
We do something called daily data which brings different data display like venn, graphs. Charts. Etc inti play. Not much talk about probability though. #elemmathchat
A2 My Ss tend to either think all yes or all no. They don't think of the scale. Is this related to number sense or is it more about considering all factors? #ElemMathChat
I teach middle school students with disabilites. I don't think this misconception has to do with disabilities. I think it is critical thinking and lack of scale and number sense #ElemMathChat
Q3 Students were given the task at the top.
Here are their first and second attempts.
Consider and respond to one, some, or all the prompts at the bottom of the slide.
#elemmathchat
2 different people at a casino
Person 1 wins a few times in a row. They leave because they assume there is less of a chance to get another big win.
Person 2 wins a few in a row. They stay because the machine is “hot”
Who is right? Neither!!!
#elemmathchat
Is it the understanding of scale too? I am finding that using empty number lines are helping develop scale of number, estimations and probability.#ElemMathChat
In the diagram on the right student shows red equals green. Even though they’re diagram doesn’t match exactly
Seems like they are reasoning through this!
#elemmathchat
Person 1 is if it is truly random, long runs of "wins" is common in truly random events, like TTTTTTTT is much more likely to happen than our pseudo random THTHTHTH we "feel" is more random #elemmathchat
I love it when my Students are realizing this too. Today when the bell rang so many students groaned because they had to stop doing math! How cool is that!? #ElemMathChat
Theoretical and Experimental probability are not the same!
Without enough experience with relating the two, students can build longstanding misconceptions.
#elemmathchat
A3 I would definitely start by asking them to explain how they made their spinner and ask what in the task made them do that to get a better assessment of their understanding. I am curious about the r=g, but I'm sure that would come up in the discussion. #elemmathchat
Thank you, thank you, thank you to everyone who submitted a proposal for #NCTMRegionals 2018 in Seattle. Just finished reviewing proposals. So many great choices. It's going to be an amazing conference! #ElemMathChat#NCTM
I give my Ss back pat. they work harder than me, they give their all. they love @joboaler s research & #noticewonder almost as much as me! They embrace the extra struggles they have due to their disabilities & are determined to be awesome math nerds! Proud of them! #ElemMathChat
In reply to
@Mrstracey_5thgr, @mathkaveli, @CindyCliche1, @joboaler
My fifth graders would just start playing rock paper sciss6. The trick would be to get them to track the data. They would definitely be engaged.#elemmathchat
Yes, that's the first place I see it in Common Core. I think a lot of teachers overlook introducing basic ideas of probability in younger grades because it's not in the standards. #elemmathchat
a5 the spinner would have to appear to be fair, but the winner slot would have to be obtainable only occasionally. so the carnival would not lose $ on prizes. #ElemMathChat
Q5: To help out the carnival the really good prizes would have small spaces on the spinner. But big enough for carnival goers to see at least one person walking around with a life sized Snoopy. #elemmathchat
Wouldn't it be wonderful if the high stakes test promoters and micro managers would know that we are professionals and this is what drives us? #ElemMathChat
In reply to
@mathkaveli, @Mrstracey_5thgr, @CindyCliche1, @joboaler
A5 I think about those carnival sucker pulls or duck games where more than 90% of the suckers or ducks don't have a prize associated with them #ElemMathChat
a6 The fractions would be ratios this many out of this many, those convert to percentages of course at MS level :) The fractions can be put on # line or we use yard/meter sticks and all of it can be made into area models! They are all the same #ElemMathChat
