Overcoming Struggles in Calculus 3

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    Calculus Calculus 3
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Discussion Overview

The discussion revolves around the challenges faced by a student nearing the end of their Calculus 3 course, particularly in the context of inquiry-based learning (IBL). The student expresses concerns about their performance, specifically regarding their exam averages and difficulties with computations despite understanding conceptual problems. Participants explore potential reasons for these struggles and suggest various approaches to improve understanding and performance.

Discussion Character

  • Exploratory
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant suggests that the student may not be practicing problems independently, which they believe is essential for real learning.
  • Another participant proposes that the student might be too focused on details rather than understanding the broader concepts of calculus, likening it to seeing the "forest for the trees."
  • A different viewpoint indicates that previous grades in earlier calculus courses might be contributing to current struggles, particularly if foundational concepts were not fully grasped.
  • One participant shares a personal anecdote about their own learning style, emphasizing the importance of engaging with the material actively rather than just taking notes.
  • Another participant reflects on their own experiences with understanding and memory, suggesting that anxiety might play a role in the student's difficulties.

Areas of Agreement / Disagreement

Participants express various perspectives on the causes of the student's struggles, with no consensus on a single reason. Multiple competing views remain regarding the effectiveness of different study strategies and the impact of prior coursework.

Contextual Notes

Participants note potential gaps in the student's foundational knowledge from previous courses, which may affect their current performance. There is also uncertainty regarding the effectiveness of the study methods employed by the student.

jlmccart03
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I am currently nearing the end of my Calculus 3 course and have been struggling all semester. First there is some background information. I passed Calc 1 and 2 with a B and C respectively. Over the summer I worked on my skills and felt prepared. Unfortunately my section was chosen for IBL (inquiry based learning) and this meant no lectures, just packets. Fast forward and I have 58% exam average. First exam was 62, second 40, and third 62. I need a 62 on my final to be at least at a 70%.

What are some of the main reasons for such struggle? Besides it being IBL I was curious of what typically causes one to struggle as bad as I am? I have gone to every class, take notes when I can, read the book, use khan academy, go to the math help room, work in a study group, and still feel lost as to why I am failing. Another note is that I manage to pass most conceptual problems (I.e. the types of problems that ask what does this integral mean or what type of setup one should use) but fail computations. I can get the problem setup, but always fail at executing and finishing the problem with the right answer.

I can’t afford to fail this course as my degree depends on it, but that is besides he point. Thanks to any and all replies!
 
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When you list the things you are doing, you don't list actually working problems by yourself. This is where the real learning occurs, at least for me. You need to practice working through the problems by yourself until you can do them routinely. In a study group, it is easy to say to yourself, 'Yeah, I see how they got that," but then when you are working through a problem on your own you say, "Wait a minute, how did that go again?"
 
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Your problem may be you can't see the forest for the trees. You are so focused on getting everything down and not playing with it or thinking outside the box. Calculus is meant to be used on real world problems and by looking around and using Calculus to get answers might help you overcome this issue.

I had a classmate in high school who did really well in English and Social Studies because he was an excellent notetaker. Me not so much. When we were in math class he would write everything down and miss the focus of the lecture. I instead sat and listened and then worked the problems and did much better than he did. I don't know why exactly but I like to think I saw the forest (bigger picture) while he saw the trees (and counted every leaf).

Does that make sense? Does it fit your situation? If not then there may be something else going on.

I also notice that recently I have periods of when I just can't understand some program I'm working on even one I wrote some time ago. Eventually though I snap out of the it and start to remember what I was trying to do and then it gets done. It could be the anxiety of trying to remember something that didn't get fixed well in my mind when I wrote it. Also I'm nearing retirement so it may have something to do with "summer vacation" coming soon aka senioritis as they used to say in high school.
 
Grades of B and C in the preceding courses could be affecting things now, as well. Assuming your Calc 2 course dealt with integration, any time you have to integrate something in the current course, such as using the integral test on a series, that grade of C probably indicates gaps in your knowledge that would prevent you from doing the calculations correctly. You mentioned working on your skills this past summer, but it's hard to know what you did or whether it was as helpful as you seemed to think.
 

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