Teacher Math #SOLC25 3/31

Word problem:
Having been made aware – repeatedly – that photocopying is consistently the largest line item in the school’s budget, a teacher has nevertheless decided to make photocopies for a grade 9 English class. The activity will require only one day, so students who are absent today will not need a copy. 24 students are enrolled in the class. How many photocopies should the teacher make in order to have enough for all the students without “wasting” money?

Break down using the GRASS method.

GIVEN: Read the question carefully. Figure out what values are given.
24 students are enrolled in the class.

REQUIRED: Figure out what is required.
Enough – but not too many – photocopies for the students who attend class today.

ANALYSIS: Analyze the question and use appropriate math operations.
It’s one week before March Break and one (1) student has already left on vacation. Their parent notified you. Experience tells you that up to two (2) more students may have already left without letting anyone know. 

24-1-1 = 22 OR 
24-1-2 = 21

It’s the first week of Ramadan and class is at the end of the day. There are at least seven (7) Muslim students in the class. Some of them will be fasting, and some of them may be fasting for the first time in their lives. This is difficult, so some of them may go home before the end of the school day. Still, it’s only Monday, so probably most of them will try to stick it out. Estimate: one (1)

22–0= 22 OR
22–1= 21 OR
21–1= 20

The flu has been going around. Loads of students and teachers were out last week, some for up to five (5) days. Today’s list of absent teachers is long, and during period one, about a third (⅓) of the class was absent. This class was pretty healthy last week. Are they more likely to be sick this week as a result? Check the online attendance to see if anyone has already been called in sick by their parents. One student is marked absent. Estimate: at least one (1) and up to three (3) sick students.

22–1= 21 OR
22–2= 20 OR
22–3= 19 OR
21–1= 20 OR
21–2= 19 OR
21–3 = 18 OR
20–1= 19 OR
20–2= 18 OR
20–3= 17

Last week you sent emails home to several families addressing student behaviours. Of the four (4) families you contacted, two (2) replied. How many of these students will attend class today? Educated guess based on experience: three (3) will attend and one (1) will skip in frustration.

21–1= 20 OR
20–1= 19 OR
19–1= 18 OR
18–1= 17 OR
17–1= 16

Finally, students may not be able to attend due to “Acts of God”: “I missed my bus after lunch” or “I got suspended for fighting in the bathroom” or “My best friend’s boyfriend just posted on IG and another girl was in the picture so I had to stay with her because she was so upset” or “Sorry, Miss, I forgot it was a Day 1 and I went to my Day 2 class and I only realized it wasn’t my class after 25 minutes.” Estimate for today: an optimistic zero (0)

WAIT: don’t forget to add in the extra copy for the student who loses their sheet between the time you hand it out and the time they need to use it. (approximate elapsed time: 8.3 seconds)

20+1= 21 OR
19+1= 20 OR
18+1=19 OR
17+1= 18 OR
16+1= 17

SOLUTION: Solve the question.
Maximum photocopies required: 23
Minimum photocopies required: 17

Repeat these calculations for each of today’s classes.

STATEMENT: State your answer in simple words.
For today’s classes, in order not to waste money, the teacher requires somewhere between 17 and 70 kajillion photocopies.

Realize after all of this that at least three students will be gone for some or all of the class because of a volleyball game. Their coaches posted about this on the email conference three (3) minutes after you finished photocopying.

Good luck!

Reading & Writing & ‘Rithmetic

As I type, my darling children are using an app called Reflex Math. They are also whining. A lot. Reflex Math is designed to help them learn math facts through the 10s. First addition & subtraction, then multiplication & division. It looks like fun to me: instead of just practicing facts with flashcards, they choose games to play, earn points for playing, and “buy” things from the online store. They can check their progress to see which facts they’ve mastered and they only need to play about 10 minutes a day to progress well. So… choice? Check. Rewards? Check. Autonomy? Check.

They hate it.

Me? I’m conflicted. I hated hated hated learning my facts when I was in elementary school. I failed one timed test after another and eventually decided that I was no good at math. I was wrong, but it took me years to realize this. I do not want my kids to have the same experience. Luckily, the current curriculum in our province includes lots of deep understanding. The kids know how addition and multiplication work. They can explain, re-group, skip count – the whole nine yards. I’m really pleased about that, and I know that this is better, harder, and more important work than the memorization I did when I was young.

On the other hand, their current teachers have not emphasized actually *knowing* these facts – you know, just being able to say 6×4=24 without hesitating. And it seems to me that when push comes to shove, you need to know the answer. I used to believe that, with practice, they would just sort of pick up the facts over time. I no longer believe this: as a Special Education teacher, I do educational testing for our high school students, and I regularly see students – some of whom are taking courses as complex as Calculus – struggling to do the testing because it must be done without a calculator. It’s not just that the work is harder to complete without the technology; they often have little number sense. They quite literally cannot add and subtract. They are hamstrung in their complex thinking because they don’t know the basics. I don’t want this for my kids. So they’re memorizing – in a fun, non-judgmental way, I swear.

And yet… today, I had a conversation with my English department that was more complicated than I had anticipated. At its heart, I think the discussion was about how best we can help the students understand the complexities of literature. Is it more important to develop readers first or is our priority to teach analysis (as if this needs to be a dichotomy – sigh)? Can we trust the students to get what they need out of books that they choose? How much direction must we provide in order for them to develop complex thinking about and understanding of the written word? We found ourselves in different places along a continuum of thinking. I was very firmly in the “trust the kids; they’ll learn it (with good guidance)” camp.

On reflection, I see this discussion as the inverse mirror of my math facts concern. I’m asking my own children to memorize their math facts completely devoid of context. Apparently I think this is important. But, if pressed, I would argue something quite different about reading. I believe that my students need to *read* before they can really dig into the depths of literature. And to get them to read, I need to talk about books, provide books, value reading of all kinds, and offer lots of choice for their reading. Then, as we read, we will begin to talk figurative language and etc. (This is an oversimplification of the process, but you get the picture. Elisabeth Ellington’s post hits at some of what I mean – and she kindly sent me on to a post by Donalyn Miller which says more of what I’m talking about but much more eloquently. ) Some of my colleagues think differently: given that the students don’t read much, we must directly teach various literary devices, methods of development, etc. The paucity of the students’ reading experience means that memorization is required. Only then will they be able to understand literature. I bet they make their kids memorize math facts, too.

Hmm… the kids have long since finished their math game, but here I sit, writing, deleting, pondering, writing again. I have to stop, but I have a lot more to say about this. For now, here’s my take away: It’s easy for me to feel strongly about how to teach reading and writing – trust the kids, let them read; it’s easy enough for me to think that the old school way is, frankly, less effective. But I don’t seem to believe that about math facts, now do I? So, first, where’s the mismatch? And, second, I’d better not be too quick to judge.

slice-of-life_individual

 

Slice of Life Day 29, March 2018

Thanks to Two Writing Teachers for this wonderful month of inspiration.