sunacres

One of the most important considerations in the design of the benchwork, as with most of what I am planning for the layout, was how easy it would be to parcel out tasks in a way that allowed all students to participate. The benchwork design for the blackboard wall consisted of three 8-foot long modules on legs clipped to the wall under the chalk rail, plus a special 6-foot long section for staging behind the door. That section is just a frame sitting on top of a bookshelf.

Each of the three 8-foot modules is made from three components: four legs, two L-girders, and an open frame panel on top. The staging section is just a frame. The legs and L-girders are assembled using 1/8” masonite gussets screwed to the wood with truss head screws.

Last year I had three classes of seventh grade math (plus two of eighth grade math). For a number of reasons I decided to focus the layout work on the seventh grade classes, so I was able to neatly assign each class responsibility for one of the components: one class did legs, another did L-girders and the third made the frames.

The class that built the legs had a relatively easy task: cut the 2x2 lumber to appropriate lengths and drill a hole in one end, then tap in T-nuts for carriage bolt feet.  Only two students in the class had ever used a hand saw before, but they were all very excited to try it. Perhaps you can remember your first attempt at using a hand saw – it probably wasn’t as easy as it appeared to be in the cartoons! But it was a beautiful process to watch. After a few minutes of struggle most of the kids were ready to learn, so I told them to take a break and we talked about how the saws work, looked at the teeth, and I explained how they do the cutting on the push stroke. I showed them how to clamp the workpiece to a table to hold it steady. I invited them to try again, but urged them to at least try slowing down and letting the weight of the saw do most of the work (for some of the students with raging testosterone storms going on that was clearly out of the question).

One of the students who was getting the hang of it by being gentle and patient remarked that going slowly and lightly was allowing her to follow the cut line more easily.

I didn’t have enough saws for everyone to cut at once, but most were ready for a break well before they made it through that 2x2. While the second shift was getting some experience I asked everyone to imagine we were in ancient Greece building a trireme, cutting every board and timber by hand.

Eventually we had 12 lengths of 2x2, with one end of each nice and square (the mill end!) I had everyone spend some time sanding their leg so we could handle them with less chance of splinters.

We’d already used up most of the class time but I had just long enough to take them to the drill press in the basement of the middle school building to give them their homework assignment. I took the top cover off of the drill press head to show them the three sets of stacked pulley wheels and how the belt could be configured to any combination of pulleys.

0pulleys.jpg 

I told them that for homework they were to imagine a simpler two-pulley arrangement and determine the four possible drill spindle speeds that a 500 rpm motor could produce. I told them to assume the motor shaft had 7”, 5”, 3” and 1” diameter pulleys from bottom to top and the spindle shaft had the same sizes but in reverse.  

chematic.jpg 

Middle school students have been taught all of the facts they need in order to figure this out, but many of them can’t remember those facts and those that can have probably never applied them to a problem like this. It’s just slightly out of reach for most of them.

The theme of my seventh grade math classes is dealing with uncertainty and ambiguity. What can you do when you get stuck? What resources can you draw on? What kind of questions should you write down for tomorrow’s class when the teacher asks “did anyone have any questions on the homework?”

These are universal skills. Math, model railroading, everything.

Jeff

Jeff Allen

My MRH Blog Index

Reply 0
tommypelley

gear/pulley speeds

While most middle schoolers would have little to no experience with pulley ratios on a drill press I'd be willing to be that almost all of them have ridden a bicycle. Those with mountain or road bikes may not be able to work out the formula for exact speed and how it relates to the gear ratio but they would understand how different size gears can make a difficult task easier to accomplish. I know that seems like an oversimplification but I'm sure others reading this probably get my point. I occasionally need to figure ratios for work and I still have to pull out my reference book.
Reply 0
Logger01

Great Program

Jeff, I may not comment on every one of your posts, but I am reading every one and waiting for the next. Again - Great Work!

Ken K

gSkidder.GIF 

Reply 0
sunacres

comments

Thanks Ken,

I appreciate your note! I hope it's clear that I'm finding it very helpful to write down some of my impressions about how last year went. I'm hoping that by the time school starts up again at the beginning of September I'll be pretty much up to date and can work on doing a better job of taking pictures and reporting on whatever develops!

Jeff

Jeff Allen

My MRH Blog Index

Reply 0
DougL

Has any student pointed out more than 4 speeds are possible?

Even using the simple two-stack arrangement of pulleys? In that case, the ambiguity is you did not limit the solution to parallel pulleys. At least I did not read it in your problem statement.

That kind of comment got me in trouble every time in class. Eventually I learned to shut up and listen to the other student's questions or comments, limiting any responses to similar sounding questions.

--  Doug -- Modeling the Norwottuck Railroad, returning trails to rails.

Reply 0
ctxmf74

were any of them smart enough

to notice the spindle speeds in RPM's table on the side of the drill press? 

Reply 0
barr_ceo

Project Based Learning

It's interesting to see this applied to Model Railroading. For those not aware of it, "Project Based Learning" is one of the elements of the Common Core standards that many states are implementing now - something that addresses the question every teacher has heard: "Why do I need to learn this? I'm never going to USE it...".

Even more importantly... it develops the skill of "learning to learn", that will make it easier for the students in the future when faced with any challenging situation.

This is the way real life works... if you need a skill, you research it, find a mentor if necessary, and practice it until you master it. Every one of us learned everything we know about model railroading the same way.

Things like this are great ways to get involved in your community schools. Offer your services as a local "expert" in the field through the administration.

Read my Journal / Blog...

!BARR_LO.GIF Freelanced N scale Class I   Digitrax & JMRI

 NRail  T-Trak Standards  T-Trak Wiki    My T-Trak Wiki Pages

Reply 0
barr_ceo

Has any student pointed out

Quote:

Has any student pointed out more than 4 speeds are possible... Even using the simple two-stack arrangement of pulleys? In that case, the ambiguity is you did not limit the solution to parallel pulleys. At least I did not read it in your problem statement.

 

On small, cheap drill presses there's usually not enough belt adjustment available to make non-parallel arrangements possible. I know mine won't do it. Running out-of-alignment is also pretty hard on the belt, generating a lot of wear and heat.

 

Quote:

were any of them smart enough to notice the spindle speeds in RPM's table on the side of the drill press?

 

Did you notice the pulley diameters in the problem don't match the ones on the drill press? Makes it easy to spot the cheaters...

 

Read my Journal / Blog...

!BARR_LO.GIF Freelanced N scale Class I   Digitrax & JMRI

 NRail  T-Trak Standards  T-Trak Wiki    My T-Trak Wiki Pages

Reply 0
sunacres

"special" students

I do have a couple of very bright students who can be counted on to "think outside the box" and/or consider variations in starting conditions which contradict every conclusion I try to draw! 

It is the universal method of keeping oneself entertained when the class is heterogeneous. 

Jeff A.

Jeff Allen

My MRH Blog Index

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