The Joy of Teaching

The Joy of Teaching – Student Analysis

My student base has many characteristics that uniquely define it, some with their advantages and others with their disadvantages.  First and foremost the students in my class are Information Technology majors.  Despite being only a 200 level class it is not required for the Information Technology minor and thus all of my students are heavily invested in the IT field.  Moreover, the course has a reputation for being difficult and so the majority of students are juniors and seniors.  There are few sophomores and very few freshmen as there are multiple prerequisites for the class.  To further extend the age demographic, I’ve thus far only taught the night section and so I field the students who have full time jobs.  The end result is a student base who are more mature and responsible.  They understand their responsibilities and are more engaged in classes.  However, this comes with its disadvantages.  The course is rather time intensive and having full time jobs, often families as well, many students struggle with finding enough hours in the day.

The other demographic characteristic that is worth noting in my class is the cultural diversity in the course.  I have a very healthy mix of all ethnicities and this sometimes creates language barriers.  Overall, the wide variety of ages, ethnicities, and skill levels in my class create a HUGE disparity in comprehension.  This is a large obstacle as my class tends to play out as pass/fail with students either getting it or not.  Students are either extremely willing to engage the class with questions or they are extremely uncomfortable and recluse themselves while falling behind.

The Joy of Teaching – Aims and Outcomes of My Syllabus

Aims
  • The main themes or ideas I will emphasize are the utilization of a scripting language to expand on web capabilities and the logical mindset needed to appropriately dissect and create programming solutions
  • The big picture or story line is the understanding of scripting languages and its impact on the web
  • The main questions I am interested in are:
  • The mental model I am promoting is the “programmer’s mindset”.  How to deconstruct a problem and divide it into programming tasks

Outcomes

  • To answer these questions, I want my students to become more skillful in taking real-world context situations and being able to produce functional responses as opposed to myopic hypothetical contexts that are “academic only”
  • The mental model (paradigm of reality) that my students may bring with them and that I want to challenge is the linear/procedural method of thinking that does not lend itself to programming which is based on efficiency via repetition and iteration of code

Style

  • The diction and tone that I want to use are casual.  Learning to program can be a frustrating and time-consuming process with a slow learning curve.  I want to be inviting with my students for them to feel comfortable asking questions, making mistakes, and learning through doing.
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Khanh on Teaching Observation

A few days before the observation – What to observe (preparation for my own peace of mind)
I wrote to two of the three professors recommended by the GMU Center of Teaching Excellence (CTE) asking if I could attend one of their classes. The CTE noted that they are known to be good teachers and one recently received an excellent teaching award. One Professor who responded to my request is teaching a computer science (CS) course, in the synthesis of ethics and law for computing professionals. She welcomed me and gave a”heads-up” that this is not a technical course, which I anticipated based on the course title and that the professor is a lawyer. What I did not know was she earned an undergraduate degree in CS, so the course she designed and taught for the last several years bring both worlds to her students.

What to observe? I reviewed Peter Filenes’ book, Joy of Teaching, Chapter 1 – Understanding Yourself as a Teacher. Filene lists five characteristics that a good teacher may display: they are enthusiastic, clear, organized, stimulating, and they care about their students. I downloaded a CTE classroom observation form to guide my observation that has five parts: content and organization, communication and rapport, critical thinking skills, and rapport with students. Comparing and correlating the two, I decided that I will observe the class along the following five dimensions:

– Enthusiasm – ability to engage students’ interest on a topic under discussion
– Clarity – ability to convey ideas (with or without technology aids) with clarity
– Organization – ability to structure the delivery modes (teaching methods) so that main concepts, key points, relevant examples are conveyed in an appropriate level of detail and useful sequence
– Stimulating – ability to motivate students’ critical thinking or problem solving skills
– Care about students – ability to build rapport with students, identify and reengage stragglers, suggest resources to use out of class for students having difficulty, or those looking to excel and learn a bit more

At the event – What did I observe? (Prof. Smith – analysis of what you learn)
The class was held in a small auditorium type classroom, tables in rows and raised in steps comfortably accommodating approximately 25 students in attendance. Only 10% are female (3 young ladies). The teacher arrived and proceeded to stand behind her desk next to the lectern, scanning and making direct eye contact with the students. She noted a few are missing and remarked that they may still be on spring break. The topic of the day was privacy and security and the lecture mode applied throughout.

For the first segment of her lecture, she posed a big question “what is privacy?” and “why do we care?”The later I decoded it as the “so what?” or “significance” part used to engage the students in teaching/learning dialogue as suggested by Bain and Filene. But her assertion “we do have privacy rights”, juxtaposed with the stated fact that “the word privacy is not in the constitution” directly intrigued me. She led the students’ thinking through the first amendment, second, and so forth to show how each support the idea of privacy. She sat on her desk as she spoke and used her hand gestures masterfully to keep the audience’s attention as she discussed one amendment at a time. Filene suggestion to “Move to different sides of the stages and walk up the aisles” (p. 52) was not applied here, and did not seem to matter either. She projected her eyes toward the end of the auditorium, far enough that I thought she looked up the ceiling at times. She modulated her voice, varied her tone, and used her hands as a means to give at least fleeting physicality to the abstract concepts in play and help students keep track of the flow of the argument. Students moved along with her, short questions cracked, brief answers opened, between teacher and students, back and forth. Now I ponder during that immersive learning moment, did they recognize that their critical thinking skills intentionally being stimulated and trained or were they like a tennis student who was so busy returning balls that they were unaware of their coaches teaching plan and execution?

It appeared she organized the lecture in an outline as she glanced at it when switching themes (e.g. what is privacy, types of privacy, issues relating to privacy, tension between privacy and security). She signaled a new theme with a question, an example, a vignette (e.g., about key stroke monitoring), or story (e.g., related to students’ real life). Her style is oriented toward hearing and speaking and critical thinking; she delighted her students solely via audio faculty and dramatization accompanied by her expressive gestures. Her ability to explain complex concepts in plain English is admirable, however, being a strong visual learner, I don’t know if I could “get” it quickly if the concepts, which were familiar to me because of my years of security experience, had been presented to me then for the first time. For example, when describing how public and private keys are used to prove non-repudiation, I had to have a diagram or sketch accompanying my words as that is how I learned the concepts. I sat in a graduate level course at GMU a few years ago, and the Professor with charts and projector labored a good half hour walking though the concepts.

Days after the event – What did I learn? (Prof. Smith – how you might integrate what you have learned into your own practice)
I learned that situating students in a familiar learning context, at the beginning of the class prior to launching into a new class lecture, is highly desirable. She asked the students about their recent experience in a mock trial and interviewing witnesses. She clarified the choices students had regarding posting essays on the Blackboard and provided guidance as how to comment their peers’ essays. She motivated and challenged students in the improvement of their revisions stating: “my philosophy is no matter how good your draft is you can do better”. A result of her setting the written communication bar high is her students not only recognize the importance of making improvements, but know why they need to and by comparing their evolving drafts can measure how much change has taken place and better their learning. She “put her money where her words are” by telling the students that their summary of change, along with their revisions, will be personally graded by her and not by the TA. Even students at this level have an understanding that time is a precious resource and her commitment of time. Only when no more questions of past assignments were raised did the professor began to discuss an agenda for the day and look out a few weeks ahead.

I learned about the delicate balance of “telling” and “volunteering” what to learn to the undergraduates. For example, she thoroughly guided the students as how to read and interpret questions and cases in their text, but polled them for which questions or cases they are interested in taking on. The detailed instructions regarding how to learn as well as the particulars of her expectations in the students’ learning described in the previous paragraph were new to me. Being in the work place for more than three decades, I observed that “telling” colleagues or subordinates how to carry out the tasks should be kept to the minimum. But as I reflect this, I think even adults and professionals can benefit from learning how to approach a task, otherwise the syndromes of “bring me another rock” keep recurring.

I agreed with Bain and Filene that “outstanding teachers, both lecturers and non-lecturers employed the same set of techniques in their classes” and the professor I observed exhibited those five keys to success. Although I happened to attend the class on the lecture day, there are other modes of learning shown in her schedule. A draft of my teaching philosophy stated, “as a new comer to the education enterprise, I will experiment with various types of learning environment, ranging from simulation exercises to role playing to debate…” and in this class there will be mock trials conducted. I have already been given permission to attend one of these which I believe will be very enlightening.

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journal article 3/29

Kidd, J.E., Sanchez, S.Y, and Thorp, E.K. (2005). Cracking the challenge of changing dispositions:Changing hearts and minds through stories, narratives, and direct cultural interactions. Journal of Early Childhood Teacher Education, 26, 347–359.

This article is about a cohort of students who were enrolled in an early childhood education program at George Mason University and the professors who taught and mentored the students.  The anticipated outcome of the program was that the students, as pre-service teachers, would develop a fuller understanding and acceptance of “culturally, linguistically, socioeconomically, and ability-diverse young children and their families.” (Kidd, Sanchez, & Thorp, 2005, p. 347)  

Once a desired outcome was articulated, the professors posed questions about how to design the program to achieve their goals, and then conducted research on similar studies and programs. After their research, the professors designed a two year program for a cohort of about twenty students who would take the same courses at the same time.  The students would serve internships, get to know specific children and families through field work, and write reflectively on their experiences.  The professors used some of the methods we have been studying in our class, such as thinking about desired outcomes, looking at course design, and considering how to involve and engage students in their own learning. 

Student involvement was the key component in this program.  Students worked as interns with different groups of young children at child care centers and schools. The children ranged in age from infancy through third grade.  Students conducted home visits with some of the children from the schools and their families. Students were required to choose families from cultures other than their own, so that they would meet diverse families, hear family stories, and form new perceptions and appreciation of different cultures.  The students in the cohort wrote extensively on their experiences over the two years, starting with their perceptions of children from diverse backgrounds before, during, and at the end of the program.  The final assignment was to “reflect upon their experiences, synthesize their learning across the two years, and discuss the principles that guided and will guide their work with diverse young children and families.” (p. 350)  The professors who designed this program provided the college students with on-the-job training opportunities, promoted social interactions between the students, children, and their families, and gave students real-world experience.

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Aims and Outcomes for “A Gentle Introduction to Topology”

A course I would like to teach would be a gentle introduction to topology, in which I could help enterprising students bridge the gap between calculus and higher mathematics. The course would introduce concepts in the foundations of mathematics and move into a discussion of the field of topology. Ultimately I would like to lead them back to more familiar examples and  let the students analyze them with their new-found tools.

AIMS

  • The main themes or ideas I will emphasize are the notions of a topology on a set, the structures of topological spaces, the properties of topological spaces, and an introduction to the idea of a manifold.
  • The big picture or storyline is that topological structures exist everywhere in mathematics and that a basic understanding of topology can dramatically improve one’s intuition with respect to other areas of mathematics.
  • The main questions I am interested in are how to define a topology on a set, what properties certain topological spaces have, how does this relate to the students’ experiences in calculus.
  • The mental model I am proposing is one of intellectual curiosity and pleasure in math for math’s sake.

OUTCOMES

  • To answer these questions, I want my students to become more skillful in determining if a given space is a topology, analyzing a topological space to determine its properties, and honing their skills at doing proofs.
  • The mental model that my students may bring with them and that I want to challenge is that mathematics is about numbers and is only useful if it can be applied.

STYLE

  • The diction and tone that I want to use are casual and conversational. I want my students to be able to engage me as a peer; another traveller on the road of life who happens to share a love and passion for mathematics.
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Aims and Desired Outcomes for Intro to Statistics

My syllabus will be for an introductory statistics course.  Filene (2005) gave some excellent suggestions on how to develop ones teaching, including how to build a syllabus as a critical part of preparing and thinking about the course.  As I read his comments, reflected on my own teaching style, and started to think about how I would want this course to take shape, I came up with several aims and desired outcomes for the course.  Introductory statistics can be difficult for students, especially those who may not be planning to continue their study in the field beyond this one course.  For many, the class may be just a General Education requirement to get through, others may view it as nothing more than a prerequisite for continuing in a chosen major such as business.  To hold the interest of these students, and to give them an appreciation of the material for when they start their own careers, I want to design the course as one that will be viewed as real value-added to the student regardless of their future plans.

Based upon these ideas, and on Filene’s proposed questions, I have developed the following aims:

1)       The main themes or ideas I will emphasize are an appreciation of what statistics is, a basic working knowledge of the most common statistical methods, and an understanding of how statistics are used in the real world along with what they mean and do not mean.

2)      The big picture or story line is that the proper use and understanding of statistics provides a valuable tool that helps us predict future outcomes, assists individuals in their decision making process, and allows us to critically analyze the findings and conclusions of others who may present statistics in partisan ways.

3)      The main questions I am interested in are:

  1. How can I make meaningful, educated decisions in a world of uncertainty?
  2. How can I improve my chances for success in whatever endeavor I pursue?
  3. What should I ask when presented statistical information used to support a particular position?

4)      The mental model I am promoting is one of critical thinking and analysis.  But also to go further and use that analysis to see new perspectives, making decisions in one’s own life, and in taking action.  For example, what does it mean when an international study ranks US health care at #1, #20, or whatever?  What were the factors used in this ranking?  If life expectancy is a factor, what are the underlying factors that impact life expectancy?  Life expectancy is affected by several things; diet, genetics, health care access, exercise, life styles.  If students see lower life expectancy as a reason for greater access to health care, they may find it hard to accept that life style plays such a greater role that health care access may actual not be a significant driver in life expectancy.  On the other hand, the person who defends the idea that the US has the best health care system in the world, may have just as hard a time citing the reasons why.  But this does not mean necessarily changing one’s mind, as much as coming to understand their positions in the right context.  Can I favor wider access to health care, but oppose that the way to do that is through government intervention?  This is a prime example of understanding what statistics are really telling you, what they are not telling you, and what they may be able to tell through further study.

The desired outcomes I have for my students are as follows:                                               

1)      To answer these questions, I want my students to become more skillful in doing basic statistical analysis on their own; become more critical and thoughtful of statistics by experiencing the process of caring out the analysis; and ultimately more capable of seeing the world more objectively.

2)      The mental model (paradigm of reality) that my students may bring with them and that I want to challenge is how they view the world and why things happen; that the world is always full of uncertainty, but you can still make reasonable and rational choices by understanding the factors that affect outcomes.  Also, this teaching is not intended to change minds about their own positions, but to see those positions in light of objective data.  This will lead a student, in any particular situation, to one of four conclusions.  First, an analysis honestly supports ones position.  Second, the analysis supports another position and thus persuades the student to change or adapt their position.  Third, the analysis is inconclusive, and it is OK for the student to keep or change their position, as long as they don’t try to read too much into the analysis to force a defense of a particular position.  Fourth, the analysis supports another position, and the student decides to still maintains their current position, but with a clearer understanding of why they chose that position.

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Journal Entry for 28 March

My article this week is “Evaluating an Active Learning Approach to Teaching Introductory Statistics:  a Classroom Workbook Approach” and is found at http://www.amstat.org/publications/jse/v19n1/carlson.pdf.  This article concerns the use of a different teaching approach for looking at active learning.

The authors point out that studies do not always support the idea that active learning improves performance, and in fact in some cases may hurt performance, especially among students who normally have high GPAs.  The authors offer ideas on what may be causing this discrepancy, the first being that there is no uniformity in defining what constitutes active learning.  They make the point that just making students do something does not necessarily mean there is learning; but only if the activities have focus the students one specific outcomes.  But another idea that focuses on higher GPA students not doing as well brings up the idea that all students do not learn the same way, and these students may actually do better because they learn better in the more traditional teaching styles.

The authors conducted a study looking at the use of workbooks in teaching statistics.  Using this method, students are provided a short lecture followed by completing the workbook for the rest of the class.  The workbooks are not part of their measured performance, but do relate back to homework problems and exams the students perform later.

The results showed that performance improved significantly; that attitudes toward statistics improved significantly; and even students with higher GPAs improved over those who took the course in more traditional ways.  Though the results are promising, the researchers did note some weaknesses in their research.  One notable weakness was they used comparison groups rather than a control groups; meaning they compared the performance of their students to students from other universities rather than a group from their own school.  Thus results could be tainted by difference in teaching methods, student make-up and other factors.  In the end I found the use of workbooks an interesting idea, but one that may need more study to show its effectiveness.

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Journal Entry for 3/29/2011

A note on arc length
Discrete Mathematics and its applications
Teaching Mathematics and Its Applications
Volume 28 Issue 3

Abstract
We consider how the arc length integral of the graph of a function in the plane is connected with the hyperbola and its rational parameterization.
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Teaching Journal Post

Valentino, Marilyn. “Rethinking the Fourth C: Call to Action. ” College Composition and Communication 62.2 (2010): 364-378. ProQuest. Web.  27 Mar. 2011.

In this article, Valentino focuses on the importance of “communication” and integrating communication theories and practice into composition courses because communication is such an important part of effective writing.  Valentino asks how we can best build relationships and connect with students in a way that will encourage them to invest more fully in writing.  In addition to discussing how to best communicate with our students, she also encourages composition faculty to work on communication with administrators and policymakers to create the best environments for teaching writing.  She discusses how to communicate more effectively with under-prepared writers and students who face many hardships outside of the classroom by employing more informal talk with students when appropriate to help encourage them and show them positive attention to help keep them on track.  She also emphasizes the need for awareness and sensitivity in communication with students who are disabled or veterans.  Valentino argues that some of the best ways to learn and promote effective communication with our students is to attend disciplinary conventions and conferences, keep up with current scholarship, participate in workshops, analyze our own methods of communication, and share best practices with other colleagues.

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Teaching Observation

During the past couple of weeks, I have observed two of my colleagues teach.  I observed Rob Como in an English 111 (College Composition I) and Laura Casal in an English 111/009 (College Composition I with Individualized Instruction).  My experienced colleagues, both of whom have been teaching for over 20 years, demonstrated certain strategies and techniques that echo both some of what I do in my classroom and also some of what we have been reading about.  I found some of the demonstrated activities to be useful for my classes as well.

In Rob’s class, his students were reviewing and practicing MLA in-text citation format for their upcoming research paper assignment.  He began the class with a brief pop quiz on the material they were supposed to read the night before.  They then briefly reviewed the answers to the quiz, and he discussed any questions the students had.  After that, he briefly reviewed what they had been previously discussing in class last time, asking students to respond to his questions and prompts about the rules and purposes of in-text citations—to both engage them in the discussion and to check for their comprehension of what they had been doing.  When students got stuck or seemed confused, rather than correcting the student, he would ask other students what they thought to engage the class at all times.  After a few minutes of this discussion, he passed out an in-class assignment sheet for an activity in which students would use example sentences and sources to complete them with the correct in-text citation format.  He had students begin the activity on their own for a few minutes, and when most students had finished, he had them get into small groups to discuss their answers.  After this, he reviewed the activity with the whole class and responded to student questions.  At the end of class, he asked the students to explain the top five most important things they should know about in-text citations, and he wrote their answers on the white board.  This last activity helped to summarize and reinforce what the students had been learning that day in class.

Throughout the class, I noticed that Rob had a comfortable and friendly rapport with his students.  The class had about 25 students in it, and he knew all of their names and called on students frequently throughout the class in a way that was non-intimidating.  He didn’t show judgment of students but rather encouraged them and joked around with them at times.  His students seemed to like him, and they seemed to be comfortable speaking in class and presenting their ideas.

On another day, I observed Laura Casal’s English 111/009 class.  Laura’s students were also working on the research paper unit, but that day they were working on developing and supporting arguments and positions.  Laura had described to me ahead of time what they would be doing that day to give me some background to the assignment.  She had divided the class up into groups and each group had taken a position on an issue so that different groups had opposing viewpoints on the same issue.  The two groups who presented that day were arguing for and against the legalization of medical marijuana.  Each group had previously met to discuss the issue, develop main points to support their position and then do some research to help support those points.  Each group also had to prepare to refute the strongest arguments of the opposing view.  The groups went in turn, with each member discussing one of the main points or refutation of opposing views.  If the student didn’t provide enough clear or specific explanation or support for the point, Laura prompted them to clarify and elaborate with help from their group members if necessary.  So, it was a somewhat laid back and interactive presentation rather than a high-stakes, high-pressure one.  After each group presented their arguments, she also asked the rest of the class for their thoughts, responses, and feedback.

As in Rob’s class, Laura also had clearly established a comfortable rapport and relationship with her students.  She called on them by name and addressed them with respect, but also pushed them to think through and support their responses specifically and thoroughly, yet she was not judgmental or discouraging regarding their answers, even when they fell short or needed improvement.  Rather than telling them they were wrong, she encouraged them to elaborate more and explain it more specifically.  The class was also very interactive, and she was sitting with the students in a student desk for much of it.

In both classes, Laura and Rob did not stand at the front of the class and lecture for the majority of the class.  In fact, there wasn’t much in the way of lecturing in either case.  They acted less as the “sage on the stage” and more as “guides on the side.”  Neither of them relied on the “banking model” of education but rather acted as facilitators for student learning.  In both cases they also used activities that were highly interactive and collaborative rather than having students sit passively or work solely on their own.  They also made a point to summarize and recap what they had been discussing and to also check for student understanding toward the end of the class.

Because I teach the same courses that I observed, and because each of them employed useful activities to teach material that I also teach, I will seriously consider trying out at least one activity that each of them used that day, and, of course, they both gave me hard copies of assignments and welcomed me to use them if I wanted.  In the case of Laura’s debate activity, as I discussed with her afterward, it is a good way to get students to actively think through the process of developing solid arguments and support that considers the audiences and what views others may hold that they may need to refute.  A collaborative activity like this not only encourages students to work together, but in the group process some students will end up helping and teaching others—which can benefit both the teacher and learner.

One thing that Rob did that I use to some extent but that I have wanted to use more is the short wrap-up/informal assessment activity at the end of class when he informally quizzes the class on what they have learned.  Not only does this offer feedback on ones teaching, but it is also short, informal, and not a high-pressure, graded quiz.  I try to do something like this, but I would like to be able to do at least a couple of minutes of informal assessment and review at the end of every class.  I will need to be sure to save time at the end for a short activity like this each time—which is can be a challenge when there is so much to do and so little time.

In both cases, Rob and Laura are good models for a teacher’s interaction with and respect for students that creates a positive and comfortable learning environment.  One thing that I plan to do more of is calling on students.  In the past, I have usually avoided putting students on the spot because I have thought that it can be intimidating for many students and make them uncomfortable, but these examples show that it is more about how one calls on students, and it can be done in a non-intimidating way.  Overall, I found the observations to be very beneficial, and I intend to observe a couple of other colleagues teach at least once a semester.

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Peer Evaluation

I sat in on a class taught by a colleague of mine at Northern Virginia Community College for my teaching observation. The class was Differential Equations taught by Joe Agnich. Joe and I have discussed teaching philosophies, syllabi, etc. in the past, so I knew going in that he and I had similar outlooks with respect to teaching mathematics. I found his class to be interesting, well organized, appropriate to the capabilities of his students. I thoroughly enjoyed it.
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