The Importance of Collecting (and Reporting) Good Data

Image capture from Ben Wellington's TED Talk on what can be done with data from New York City. — Image capture from Ben Wellington’s TED Talk on what can be done with New York City’s data.

I’m having my students collect all sorts of data for Chicken Middle, their student-run-business. Things like the number of eggs collected per day and the actual items purchased at the concession stand (so we don’t have to wait until we run out of snacks). It takes a little explanation to convince them that it’s important and worth doing (although I suspect they usually just give in so that I stop harassing them about). So this talk by Ben Wellington is well timed. It not goes into what can be done with data analysis, but also how hard it is to get the data in a format that can be analyzed.

Doubly fortunately, Ms. Furhman just approached me about using the Chicken Middle data in her pre-Algebra class’ chapter on statistics.

We’re also starting to do quarterly reports, so during this next quarter we’ll begin to see a lot of the fruits of our data-collecting labors.

Gene Transfer from Algea to Sea Slug

The sea slug. "Elysia pusilla" by Katharina Händeler, Yvonne P. Grzymbowski, Patrick J. Krug & Heike Wägele - Händeler K., Grzymbowski Y. P., Krug P. J. & Wägele H. (2009) "Functional chloroplasts in metazoan cells - a unique evolutionary strategy in animal life". Frontiers in Zoology 6: 28. doi:10.1186/1742-9994-6-28 Figure 1F.. Licensed under CC BY 2.0 via Wikimedia Commons. — The sea slug. “Elysia pusilla” by Katharina Händeler, Yvonne P. Grzymbowski, Patrick J. Krug & Heike Wägele – Händeler K., Grzymbowski Y. P., Krug P. J. & Wägele H. (2009) “Functional chloroplasts in metazoan cells – a unique evolutionary strategy in animal life”. Frontiers in Zoology 6: 28. doi:10.1186/1742-9994-6-28 Figure 1F.. Licensed under CC BY 2.0 via Wikimedia Commons.

One of my students wanted to figure out how to make animals photosynthesize. Well, this article indicates that sea slugs have figured out how eat and digest the algae but keep the algal chloroplasts alive in their guts so the sea slug can use the fats and carbohydrates the chloroplasts produce (the stealing of the algal organelles is called kleptoplasty). To maintain the chloroplasts, the slugs have actually had to incorporate some of the algae DNA into their own chromosomes–this is called horizontal gene transfer and it’s what scientists try to do with gene therapies.

More details here.

Magnification ?. — Filamentous algae like the ones eaten by the sea slugs.

The Wind Right Now

Windyty shows beautiful animations of the current wind patterns around the world.

Limiting Chemical Reactions

Figuring out the limiting reactant in a chemical reaction integrates many of the basic chemistry concepts including: unit conversions from moles to mass and vice versa; the meaning of chemical formulas; and understanding the stoichiometry of chemical reactions. So, since we’ll need a number of these, I wrote a python program to help me design the questions (and figure out the answers).

Program examples come zipped because they require the program file and the elements_database.py library:

Baking Powder and Vinegar (Common Molecules)

Limiting_component-Common.py: This has the baking powder and vinegar reaction limited by 5 g of baking soda. It’s nice because it uses a few pre-defined “common molecules” (which are defined in the elements_database.py library.

You enter the reactants and products and the program checks if the reaction is balanced, then calculates the moles and masses based on the limiting component, and finally double checks to make sure the reaction is mass balanced.

Limiting_component-Common.py

from elements_database import *
import sys

print "LIMITING REACTANT PROGRAM"
print 
print "  Determines the needed mass and moles of reactants and products if reaction is limited by one of the components"

c = common_molecules()

'''Create Reaction'''
rxn = reaction()
# Add reactants (and products)
#   Use rxn.add_reactant(molecule[, stoichiometry])
#       molecule: from molecule class in elements_database
#       stoichiometry: integer number
rxn.add_reactant(c.baking_soda,1)
rxn.add_reactant(c.hydrochloric_acid,1)
rxn.add_product(c.carbon_dioxide)
rxn.add_product(c.water, 1)
rxn.add_product(c.salt)

'''Print out the reaction'''
print 
print "Chemical Formula"
print "  " + rxn.print_reaction()
print 

'''Check if reaction is balanced'''
balanced = rxn.check_for_balance(printout=True)

'''Calculate limits of reaction'''
if balanced:
    rxn.limited_by_mass(c.baking_soda, 5, printout=True)

Outputs results in the Results table (using scientific notation):

LIMITING REACTANT PROGRAM

  Determines the needed mass and moles of reactants and products if reaction is limited by one of the components

Chemical Formula
  NaHCO3 + HCl  --> CO2 + H2O + NaCl 

Check for balance
 --------------------------------------------- 
| Element | Reactants | Products | Difference |
 --------------------------------------------- 
|   Na    |    1      |    -1    |     0      |
|   H     |    2      |    -2    |     0      |
|   C     |    1      |    -1    |     0      |
|   O     |    3      |    -3    |     0      |
|   Cl    |    1      |    -1    |     0      |
 --------------------------------------------- 
Balance is:  True

Given: Limiting component is 5 g of NaHCO3.
  Molar mass = 84.00676928
  Moles of NaHCO3 = 0.0595190130849

 Results
   ------------------------------------------------------------------ 
  | Molecule | Stoich.*| Molar Mass (g) | Moles req. |    Mass (g)   |
   ------------------------------------------------------------------ 
  |NaHCO3    |    1    |    84.0068     |  5.952e-02 |   5.000e+00   |
  |HCl       |    1    |    36.4602     |  5.952e-02 |   2.170e+00   |
  |CO2       |    -1   |    44.0096     |  5.952e-02 |   2.619e+00   |
  |H2O       |    -1   |    18.0156     |  5.952e-02 |   1.072e+00   |
  |NaCl      |    -1   |    58.4418     |  5.952e-02 |   3.478e+00   |
   ------------------------------------------------------------------ 
 * negative stoichiometry means the component is a product

  Final Check: Confirm Mass balance: 
     Reactants:    7.1701 g 
     Products:    -7.1701 g 
     --------------------------
          =      0.0000 g 
     --------------------------

General Example

If not using the common molecules database, you need to define the components in the reaction as molecules yourself. This example reacts magnesium sulfate and sodium hydroxide, and limits the reaction with 20 g of magnesium sulfate.

Limiting_component-General.zip

The main file is:

Chem_Exam-limiting.py

from elements_database import *
import sys

print "LIMITING REACTANT PROGRAM"
print 
print "  Determines the needed mass and moles of reactants and products if reaction is limited by one of the components"

# create reaction

rxn2 = reaction()
# Add reactants (and products)
#   Use rxn.add_reactant(molecule[, stoichiometry])
#       molecule: from molecule class in elements_database
#       stoichiometry: integer number
rxn2.add_reactant(molecule("Mg:1,S:1,O:4"))
rxn2.add_reactant(molecule("Na:1,O:1,H:1"), 2)
rxn2.add_product(molecule("Mg:1,O:2,H:2"))
rxn2.add_product(molecule("Na:2,S:1,O:4"))

'''Print out the reaction'''
print 
print "Chemical Formula"
print "  " + rxn2.print_reaction()
print 

'''Check if reaction is balanced'''
balanced = rxn2.check_for_balance(printout=True)

'''Calculate limits of reaction'''
if balanced:
    rxn2.limited_by_mass(molecule("Mg:1,S:1,O:4"), 20, True)

# print out masses
print "Masses Involved in Reaction"
print "  Reactants:"
for i in rxn2.reactants:
    #print "rxn", i
    print "    {m}: {g} g".format(m=i.molecule.print_formula().ljust(10), g=i.mass)
print "  Products:"
for i in rxn2.products:
    #print "rxn", i
    print "    {m}: {g} g".format(m=i.molecule.print_formula().ljust(10), g=-i.mass)

This program is slightly different from the common molecules example in that, at the end, it prints out masses calculated in a more easily readable format in addition to the other data.

Masses Involved in Reaction
  Reactants:
    MgSO4     : 20.0 g
    NaOH      : 13.2919931774 g
  Products:
    MgO2H2    : 9.69066512026 g
    Na2SO4    : 23.6013280571 g

When I have some time I’ll convert this to JavaScript like the molecular mass example.

Molar Mass of Molecules

Calculate the molar mass of a molecule:

The notation for the chemical formula is a little funky: you put the element symbol and then the number of atoms separated by a colon; each element/number of atoms pair are separated by commas, so sodium chloride (NaCl) would be “Na:1,Cl:1“.

This will have to do until I can write something to parse the regular chemical formula notation.

On the plus side, you can link to a specific molecular mass calculation by adding the formula to the url. So magnesium chloride (MgCl₂) can be found with this url:

https://soriki.com/js/chem/chem_db/molecular_mass.html?formula=Mg:1,Cl:2

She’s got (a) heart: Duck Dissection

Heart in hand: a duck's heart to be precise. — Heart in hand: a duck’s heart to be precise.

Dissection time is always interesting in the middle school classroom. Some kids start off a little squeamish, but there are always a few who pitch right in. All of the class were working on different organisms–microscopic algae (desmids), insects, plants, etc.–but I set up the dissection table in the middle of the room. With all the other tables facing inwards, everyone who wanted to got a chance to see the internal organs as they were carefully, but triumphantly, traced and extracted. It spreads the enthusiasm, and gives the other students a heads up as to what will be expected.

One student brought in a duck that her father had shot. She was familiar with cleaning hunted fowl, so had no qualms about the dissection. The duck was a great specimen, because the internal organs were large and easy to identify.

Duck dissection. — C.F. leads the duck dissection.

She, and most of the rest of the class, had dissected a sheep’s heart in elementary school. This time, however, they got to see how the heart was connected to the rest of the body. We got to talk about why smaller organisms, like ducks, could get away with two chambered hearts, while larger ones need four chambers.

Indeed, the tracing of the artery leading out of the heart lead us to compare of the color of the duck’s lungs–so red they were almost black–and the fish’s gills, which were also a deep red. And that, in turn lead to a discussion of how organisms ingest the gasses they need to survive: microbes through diffusion; insects through spiracles and trachea; mammals through lungs. Tomorrow we’ll talk about how the surface area to volume ratio changes with size.

Peer Teaching

Ms. R. helps a peer with her experiment.

Half the Chemistry class was gone yesterday, so they had to make up their experiment today. Well, one student of the students who did her work yesterday entreated me to lead her peers through the experiment. It was pretty awesome, because she had been struggling with the topic for the last week and had finally gotten it yesterday.

And she did an excellent job. She not only walked the rest of the class through the theoretical calculations, but guided them through the experiment itself.

Peer teaching works best when students are excited about what they’ve learned and want to share. I’m still trying to figure out the best way of inciting this excitement when I break the groups up for their projects. Giving them choice is important, but also, I think, giving them challenging work that they’re proud to accomplish.

Devices

I tend to let my students have a lot of freedom to use their myriad technological devices as they will. Just as long as they use them responsibly (i.e. for academics during class time). What’s most interesting these days is seeing how they combine the various electronics.

Working with pen, paper, tablet and laptop.

This Chemistry student is referring to her textbook on the iPad, while she creates a presentation on her laptop. Yet pen and paper are still integral parts of the process.