Showing posts with label precalculus. Show all posts
Showing posts with label precalculus. Show all posts

Thursday, April 18, 2013

Statement of accomplishment

I got my statement of accomplishment from the UCIRVINE pre-calculus class I took at Coursera. It looks clean and simple. It has my name and the signature of both professors in the class. The only grievance I have is the note at the bottom.
 
It reads:
"PLEASE NOTE: THE ONLINE OFFERING OF THIS CLASS DOES NOT REFLECT THE ENTIRE CURRICULUM OFFERED TO STUDENTS ENROLLED AT THE UNIVERSITY OF CALIFORNIA, IRVINE. THIS STATEMENT DOES NOT AFFIRM THAT THIS STUDENT WAS ENROLLED AS A STUDENT AT THE
UNIVERSITY OF CALIFORNIA, IRVINE IN ANY WAY. IT DOES NOT CONFER A UNIVERSITY OF CALIFORNIA, IRVINE GRADE; IT DOES NOT CONFER UNIVERSITY OF CALIFORNIA, IRVINE CREDIT; IT DOES NOT CONFER A UNIVERSITY OF CALIFORNIA, IRVINE DEGREE; AND IT HAS NOT VERIFIED THE IDENTITY OF THE STUDENT."
This is my first Coursera course so I do not know if all other universities use the same language. If they do, shame on them. I understand all the caveats they must state, specially the part about this course being in no way eligible for college credit and the fact that in the free version of the course they could not verify your identity. I guess what bothers me is that they focused on all the negatives, none of the positives.
 
I will make a suggestion in how to phrase the bottom of those certificates.
Please Note: This online offering while covering essential topics of the subject studied is different from the curriculum offered to students enrolled at UC Irvine. The statement is given to the student named above under the assumption that said student abided by the honor code explained in the syllabus and handed in their own work. Unfortunately we cannot verify this students's identity. This course is not eligible for college credit, grade or degree at UC Irvine. This statement does not affirm that this student was enrolled as a student of UC Irvine.
But maybe I'm just overly sensitive. Good news is I passed the course...and at least I can verify my identity. At least I hope I can. Let's check:
 
Fernando Santiago = the guy who spend 10 weeks doing an UC Irvine precalculus class at Coursera.
Me=Me
 
Identity verified.
 
This post should give me closure.
 
Your thoughts?

Tuesday, April 9, 2013

The tale of a test twice taken

Well, the time had actually arrived. I took my pre-calculus test last Saturday. Before I let you know how I did, I must tell you the story of how I came to take a 2.5 hour test twice almost back to back.
 
In my previous post I was going on about assessment and self-esteem, of how I would feel if I did worse in the exam that I thought I deserved. My conclusion was that it would be hard to do badly but the most important thing is that I know I have learned. I had also made a point about tests being a tool to mostly measure teacher performance rather than student performance. In other words, the tests scores will give more information to the professor about what worked in class than I would to a single student about their performance. Fast-forward a week and you would find me sitting with my laptop, iPad, textbook and notebook ready to start my test...at 3:30am.
 
Why in earth would I be up at three in the morning to take my final? Simple, I had misread my watch and thought it was 4:30am. I was going to start the test at five, but when I had to check on my baby daughter, after she got out of bed, I decided to start the test early...that as you will see was a lucky mistake.
 
The final test was worth 80% of the class grade, so all those exercises I had been doing throughout the 10 week course (about 140 items) would count for 20% only. So, if O failed the test I would fail the class. The only solace I had was that the test could be taken twice at any time from Friday to Monday. My plan was to take it early on Saturday, then study up on the segments I had done badly. If I liked my score the first time around, I would take it once. My goal was no only to pass with the required 65% but to get a certificate of completion with distinction. I needed an 85% in the course to qualify for that.
 
After I have all my tools set, I start the test. The countdown read 2 hours 30minutes and started to descend a little faster that I wanted. I had 35 exercises to finish. My first wake up call came at question number 1. I had no idea what it was asking me to do. I flip through my notes and look through my reference pages to jog my groggy brain into gear. It occurred to me that an hour of sleep would have been welcome. But I soldiered on, I skipped the first couple of questions until I reached one that made sense. I picked up my pencil and calculated away. It would be a long two hours and a half. I could tell.
 
Halfway through my time I notice I am not hallway through my test yet. I start to get the feeling O will not finish all the questions, which would be bad because I wanted to use my first attempt as a reference and needed all answers graded. At least I had saved an HTML copy of the test in,y hard drive, so even if I do not finish all the items, I would know what they asked.I wanted to make a static PDF copy of the test, but found out my laptop did not have that capability. That would come and bite me later on.
 
As the clock winds down to the last 5 minutes I still have 4 or 5 exercises to go. I feel tired from all the calculations, and checking my notes, and finding reference pages to use. But at least I would get the majority of the except cowed marked one way or another. When the time stops I wold my breadth for the result.
 
I scored 15.67, just under 44%.
 
Feeling a little down, but not that much considering I had practiced very little for test, I proceeded to open the HTML copy I had saved in order to print the questions for review. And that's when disaster struck. As I looked at the HTML copy of the page I had saved, I saw something that made my heart stop. There was a clock at bottom counting down from 2 hours 30 minutes. It seemed I accidentally triggered my second attempt of the test.
 
On impulse I close the page. Then I freak out thinking I just lost my chance to take the test again. So I do the only thing a sleep deprived, exhausted human being would think of doing, I opened the page again. The clock started counting down from 2 hours 30 minutes once more. However, I could not know if this new clock was real or if the true countdown would be the one starting when I first opened the HTML file. Fully awake now, I figured I had to options: either hope it was a glitch, study all day for the test and retake it the next morning risking not having a second attempt to do; or suck it up, take the test again and try to finish it before that first countdown wound down.
 
Desperate, and not wanting my grade of this course which I had pit so much into, I decided to take the test again right then and there. Knowing full well that it might all be for nothing, since nothing could guarantee that upon hitting submit after completing all 35 exercises I would not get a message saying:"We are sorry but it appears you have already attempted this test twice." Regardless of that possibility I barreled on. It was already 6:00am.
 
The new test was slightly different from the first. It had the same questions but the variables and constants changed in most of them. Still, the second time around I was sufficiently awake to start remembering all I had learned in the class. Still, I knew my nervousness and agitation could make me make mistakes. And there was no fixing mistakes this time. It was now or never.
 
About an hour and a half into the test, at around 7:30am, my baby daughter awoke. She would be hungry and very curious about what daddy was doing. It was an eventuality I knew I would face. My plan was to leave the test were I was and get her breakfast. While she ate I could do some more exercises. Then my wife woke up. She instinctively noticed my predicament and told me to go on with my test. She would make breakfast. My wife is an angel. She woke up early on the day she could get to sleep late to help me pass a test that was, in the grand scheme of things, insignificant. All because she knew it was important for me. Thanks to her I was able to finish the test with 17 minutes to go. With trepidation I hit the submit button. I hoped against hope that the system would accept this attempt. It did.
 
My second score was 24.5 out of 35, exactly 70%.
 
I sighed with relief. A day ago, that score would have been a let down. But that day after 4 and a half hour of testing, and scribbling, and checking, and answering, I was exhausted and happy. My technical difficulties were overcome. I had passed the class. While my wife and daughter ate their pancakes, I raised both arms in triumph and gave a muted cheer. They cheered back.
 
I was done with my pre-calculus review. I would receive my statement of accomplishment a week later. Now, in the distance, through the wall I had just taken down , I could see a sign over the horizon that read: Beyond, there be Calculus.
 

Tuesday, February 5, 2013

A whirlwind week of algebra - Pre-Calc Week 1

I finished my first week of pre-calculus by UCIrvine through Coursera. It was harder than I expected due to the sheer magnitude of the workload. Although it was algebra, exponent rules, radical, rules, polynomial operations and inequalities, the fact that it was 30 videos and quizzes made it labor intensive. However, in the end I grit my teeth and got throughout them.
 
As I mentioned in a past post, the way mathematical expressions needed to be input into the quizzes was giving me trouble. Yet, thanks to economies of experience, the more exercises I did the better I got, and the faster I was able to do them.
 
I felt and odd satisfaction when I finished my last quiz on the due date. I knew the first-week homework would not be part of the final grade so I could have very well skipped the exercises and done nothing, but I felt compelled to do it. To be fair, I re-learned (I wonder if that term is trademarked) many concepts that had been dormant since high school.
For example, the arithmetic commutative, associative and distributive properties are basic knowledge almost since elementary school. However, most of the questions I have when solving a problem have to do with these properties. And the fresher I have them in my mind the easier the problem becomes.
 
Other concepts I re-learned this week:
  • Roots can be expressed as exponential fractions and be subject to exponent rules.
  • When you divide or multiply both sides on an inequality by a negative number you need to flip the inequality symbol that joins them.
  • Factoring polynomials can help you understand the relationship they have with other polynomials.
  • The "two trains leave the station" type of problems have to do with time, distance and rate...not (necessarily) geography, thank heavens!
I find it thrilling to work with all this math again. As an adult, I have a different perspective on all of this. You see, for many mathematically inclined adults working doing algebra exercises from junior high would be a waste of their time. For them this math is just too simple to be worthwhile and they see no point. The way I see it, before this math became the stuff of junior high, very smart and serious adults were discovering and working with it. What we now find simple, was a breakthrough for scholars in other times. Therefore I am following the path these great minds paved...how's that for self delusion.
 
Let me know your thoughts on this in the comments.
 

Wednesday, January 30, 2013

Coursera Pre-Calculus Started

I mentioned a week ago that I had enrolled in a Coursera massive online course for Pre-Calculus from the University of California Irvine. The course will be 10 weeks long and I am halfway my first week.
 
I'll give my first impression of it: the course is great, and daunting, and frustrating at once. It comprises of short video lessons which are very well done even when some students complain that the voice of the instructor sounds like a "California Valley Girl". Hey, as long as she does not sound like Siri, I have no problem.
 
After the video there is a quiz of anywhere from 1 to 4 questions (at least for the ones I have completed). These quizzes test your superficial knowledge of the subject in the video. In other words they make you re-enact the video versus challenging you to apply the knowledge to a problem that is different. This makes sense since we are starting a review of concepts we will need for pre-calculus. If the patter continues later on it will be a disappointment.
 
The quizzes do present an unforeseen challenge, you have to use especial notation to get your answers input in. Anyone accustomed to using excel will find this simple, but for others it might be an extra worry. For example, if my answer is (5√2) -5 , I would have to write it like this: (5*sqrt(2))^-5. I know from excel that * means multiplication and that ^ goes before an exponent, but sqrt(number) would have thrown me for a loop. Fortunately bellow the answer box there is a button to verify your answers notation.
 
Another challenge from the quizzes (which the administrators have told us they are working on expediently), is that they some are flawed and do not accept a correct answer as correct. This can be a grief if you are not sure whether it is your answer or the quiz that is incorrect.
 
I have learned (well, re-learned would be more appropriate) a lot in half a week. Yet my best insights have come not from the course material but from my experiences. I list those insights bellow.
 
I have learned that:
    • Using pencil and paper to work is better that doing it in your head.
    • Rushed work will create shoddy answers.
    • Knowing the math is not enough, it's the arithmetic that will get you.
    • It is more exciting to get an answer wrong on your first attempt, since it leads to discovery.
I want to expand a little on that last sentiment. In the summer of 2012, scientists at the Large Hadron Collider at CERN, where fairly certain they had found the Higgs Boson, known as the God Particle, a theoretical particle that would explain how matter got mass. As the experiments were underway, I remember reading about renowned physicist who hoped the Higgs Boson was not be found. They were saying that finding it would close a big avenue of new physics. The act of being right would stymie discovery. At the time, I could not understand them. Now I do. Please do not think that I am comparing learning calculus to finding the God Particle. I just find that to get an exercise wrong forces me to look at the process, and the steps I followed. It makes me focus and see beyond what I think the answer should be. That is exciting. If I get the answer right the first time I feel like: "Well, that's that."
 
Sure enough, I am becoming a firm believer that mistakes make you better. What do you think about that?
 

Wednesday, January 16, 2013

Just got enrolled in PreCalculus with Coursera

Well, I took a break from my trigonometry review went and took the plunge. I am enrolled now in a Pre-Calculus course with Coursera and the University of California, Irvine. I've been hearing about Coursera for a few months now but I never got the urge to take a look at what it was about.
 
 
 
I could try to explain what I believe Coursera to be, but I'll leave it to their About section. You can read it in full here.

About Coursera

We are a social entrepreneurship company that partners with the top universities in the world to offer courses online for anyone to take, for free. We envision a future where the top universities are educating not only thousands of students, but millions. Our technology enables the best professors to teach tens or hundreds of thousands of students.

Through this, we hope to give everyone access to the world-class education that has so far been available only to a select few. We want to empower people with education that will improve their lives, the lives of their families, and the communities they live in.

 
I am fairly excited about this. It will be a way to do my own studying but with a class like structure. The workload of 10 to 12 hours a week sounds a little daunting, we'll see how that plays out. What I like about it is that it will last 10 weeks. That seems reasonable. I am always second guessing myself about the speed in which I am going through my review.
 
I plan to take a Calculus course after that. Tha way I can answer one of the questions that have bothered me from the beginning of this journey which is...
How will I know if I had learned Calculus?
The final test for the Calculus course and my progress through it will say I do...or not. And your input will also be invaluable. Let me know what you think of this idea.
 

Saturday, January 12, 2013

This is getting real

I just bought a textbook (used) and notebook (new and awesome) to help my studies.
 
I hope my notebook gets found one day by guy like Charlie from the series numb3rs, and he says something like: "Most of the stuff here makes no sense, it has to be a coded message. I'll run a Yoda-Shatner probability test to crack it."