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Mark Hayden
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The University of Pennsylvania- Master of Chemistry Education Program (MCEP)


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Comprehension of Chemistry Content Course Enduring Understandings
The participant has grown to have stronger comprehension of science content as described in the program and course Enduring Understandings


GROWTH
This entry will demonstrate how I have grown to have a stronger comprehension of science content as described in the program and course Enduring Understandings by:
  • detailing my experiences before, during, and after MCE program courses.
  • presenting pairs of baseline / later evidence.
  • reflecting on specific concepts, the courses in which they were learned, and my own personal growth



BASELINE EVIDENCE

PROGRAM EU:  Chemistry is an experimental science where bridges are built between experimental
observations and underlying concepts.  (see EU source)

Before entering the MCE program, I understood that bridges are built between experimental observations and underlying concepts using models (i.e. physical, mathematical, etc.)  However, what I didn't appreciate was the extent to which computers are now used to make those connections.  Considering this, my baseline was virtually zero for the types of activities that we would be doing in Information Technology and Experimental Chemistry (CHEM502).   In relation to the specific content at hand, I also had never heard of a transition state.  In order to show this, I've included an image from one of my classroom PowerPoints below.  Readers will note that the transition state is not labeled on the diagram.  The only aspect of the diagram that I was emphasizing to my students was the energy difference between the reactants and products.




CONTENT EU:  For any acid HA, the relationship between the pKa, the concentrations existing at equilibrium, and the solution pH is given by:  pH = pKa + log [A-]/[HA]  (see EU source) 

One of the basic understandings that is a foundation for acid/base chemistry is the concept of a buffer.  While studying buffer systems in Biochemistry (CHEM504), I was asked to complete a problem on the board.  Readers can view the problem itself, as well as my particular response by clicking on the links below.  While attempting to complete the problem in front of the class, I treated the acid (nitrous acid) as a strong acid by assuming that it would dissociate completely in the buffer solution.  This can be seen in my calculation where I attempt to calculate the moles of acid directly from the molarity of the nitrous acid.

Problem and misconception

Misconception only



CONTENT EU:  Atoms obey the laws of quantum mechanics and have energy levels- Vibrational Energy  (see EU source)

At the end of each quiz in MCE Molecular Spectroscopy (CHEM507), we were asked to complete a "preview" section that related to upcoming concepts.  The idea was to establish a baseline for items that were coming in the following months.  Below is a preview question related to the vibrational modes in carbon dioxide.  Readers will note that I was completely clueless, which clearly indicates a baseline of zero for that topic.

Vibrational modes preview question



EVIDENCE OF GROWTH

PROGRAM EU:  Chemistry is an experimental science where bridges are built between experimental
observations and underlying concepts.  (see EU source)
GAMESS Problem Set #1
(Concepts:  Bond Energies, Reactive Intermediates)
CHEM502

During my participation in CHEM502, I started to appreciate the role of technology as a bridge between experimental observations and underlying concepts.  Mostly, I recognized computer modeling software as an incredibly powerful tool that can catalyze the creation of new chemical theories by providing an additional method for experimentation and visualization.  Below, readers will see evidence from my Games Problem Set #1.  First, I have provided the reaction coordinate for the process.  Next, I have provided the link to the data and analysis completed during the project.

Reaction coordinate

GAMESS problem set #1 website




CONTENT EU:  For any acid HA, the relationship between the pKa, the concentrations existing at equilibrium, and the solution pH is given by:  pH = pKa + log [A-]/[HA]  (see EU source) 
Acid / Base Equilibria Problems
(Concepts:  Acid / Base Equilibria, Henderson-Hasselbalch)
CHEM504

After presenting my misconceptions at the board (see baseline evidence), I met with several members of my cohort in a small group.  We talked about the concepts involved and came up with a couple of different strategies for solving the problem.  Below, readers will see the correct solution to the original problem, which is included in the image.
Problem with conceptually accurate solution




CONTENT EU:  Atoms obey the laws of quantum mechanics and have energy levels- Vibrational Energy  (see EU source) 
Vibrational Modes of Carbon Dioxide
(Concepts:  Vibrational modes, bending/stretching, IR spectroscopy)
CHEM507

After participating in a POGIL, discussion, and related assignment, I learned about vibrational modes, the difference between bending/stretching, and how to determine if a molecule is IR active.  Below, readers will see a question from a quiz in CHEM507.  To preserve the reliability of the assessment, only the question of interest is shown.  In addition, only the specific portion of the answer that is correlated to the baseline evidence is shown.  The remaining portions of the quiz and the question have been removed.
Vibrational modes quiz question



REFLECTION
Since the start of the MCE program, I have come to recognize computer modeling software as a valuable tool for bridging the gap between experimental evidence and chemical concepts.  One particularly salient example of this for me was the GAMESS problem set #1 completed in CHEM502.  In this situation, the software was actually used as a source of data to analyze.  As described in the evidence, the purpose of the activity was to determine the energy of two structural isomers and the transition state that connects them at the HF/3-21G level of theory.  This particular investigation, and others like it, are "experiments" that cannot be physically carried out in the lab, so computer applications like MacMolPlt and Chem3D are one of the only sources of meaningful data.  This technology is incredibly valuable for theoretical chemists, particularly for predicting the energy of transition states or theoretical reaction intermediates.  In addition to my experience with software as a modeling tool and the computer programs themselves, I also gained some valuable exposure to reaction coordinates.  As shown in the baseline evidence, my knowledge related to energy diagrams was somewhat limited before the first summer of the program.  However, it is clear from the evidence of growth that my comprehension of related energy concepts improved considerably.  I have identified the process as exothermic by calculating a loss of energy over the course of the transition (-47.37701 kcal/mol).  I have also incorporated the idea of activation energy (energy barrier) and found it to be 60.36646 kcal/mol when going in the "forward" direction.  Finally, I shown my understanding of the transition state by including it within the website and calculating its energy (-70940.06825).

Acid/base chemistry was a sticking point for me all the way up until the last summer.  In fact, I recall identifying related concepts on more than one "first-day inventory" as a weakness that I was hoping to improve.  Finally, in CHEM504 I figured out one of my major difficulties.  As shown in the baseline evidence, I was treating a weak acid as though it should completely dissociate.  Looking back, this silly misconception ended up causing me a great deal of trouble.  After conferencing with my cohort members I got everything straightened out, realizing that only strong acids and bases dissociate completely in solution.  Weak acids and bases establish an equilibrium with their conjugate.  To handle this situation, I got the hang of the ICE diagram method again, something that I haven't done since my undergraduate courses.  This is the way that I successfully handled acid/base equilibria for the remainder of the course (and program).  As shown in the evidence for growth, after coming up with expressions for the equilibrium concentration of nitrous acid and its conjugate base, I utilized the Henderson-Hasselbalch equation to determine the hydroxide ion concentration.  From there, I was able to easily calculate the moles of hydroxide using the molarity and the volume.

The first time I studied the theory behind IR spectroscopy my head was spinning because of the complexity.  Since I lacked much of the foundational math, it was really out of my league.  This is illustrated in the baseline evidence, where I was unable to come up with anything meaningful in my "preview" quiz question.  Fortunately, CHEM507 offered a primarily qualitative treatment of the topic.  Only the essential quantitative information was presented, which generally came in the form of easy-to-digest POGIL's and PIM's.   In the beginning of the course, we learned about the basics by calculating center of mass and relating it to energy.  Soon after we discussed the quantum nature of vibrational energy, by examining the possible "v" states in comparison to those that exist for other forms of energy (i.e. translational, rotational, electronic).  Later, I learned the simple formulas for vibrational degrees of freedom for linear and non-linear molecules.  As shown in the evidence for growth, I was able to apply the linear version (3N-5) to carbon dioxide to determine that it has four.  In addition, I labeled them each as a bend or a stretch respectively.  Finally, I determined if each was IR active by considering if an oscillating dipole is present.  In the case of the first, the stretch is symmetric and so it doesn't not result in an oscillating dipole.  It will not be IR active.  The others, the asymmetric stretch and the two bends, will be IR active.
 


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