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Student Surveys

Instrument 3: Abstract Mathematical Theory Questionnaire

Project: Statistical Application for the Mathematics Curriculum
Mount Holyoke College

Funding Source: NSF - Undergraduate Education ( DUE)

Purpose: To help instructor think about and understand students’ previous experiences with application of abstract mathematical theory

Administered To: Students in statistics course

Topics Covered:

  • Attitudes & Beliefs (Student): content, method, knowledge, understanding, practical value, engagement, anxiety
  • Instructional Practices: methods, instructional approach, pedagogy, content
  • Instructional Preference: methods, content
  • Lesson/Curriculum Plan: practical value, engagement, methods, content
  • Perceptions (Student): content difficulty, ease of use

Format/Length: 14 open- and closed-ended questions


Stat 344 Questionnaire
   
The purpose of this questionnaire is to help me think about and understand how you have experienced applications and abstract mathematical theory in your courses.
   
1. List one or two courses you have taken that involved applications of math:


2. Did you like having applications in the course(s)? Why/ why not?



3. Briefly describe an instance of an applied problem from one of your courses.
(A sentence or two is enough.)



4. Does it matter to you whether a course uses made-up examples or real applications? Why/ why not?





5. Consider two approaches to applications in a math course: (a) Brief -- the bare minimum you need to see how the example illustrates the mathematical theory, or (b) full -- enough detail to be able to understand the application as a challenge in its own right. If you have a choice, which approach do you prefer, and why?






6. When you think of applications of math, which of these adjectives do you consider appropriate? (Circle all that apply)
  easy important for society frustrating
  hard important for getting a job peripheral
  mechanical important for your understanding creative
  challenging trivial understandable
  mundane interesting confusing
  Other words that come to mind:
   
7. List one or two courses you have taken that have been most concerned with abstract mathematical theory:


8. Do you like abstract mathematics? Why/ why not?




9. Briefly describe a typical instance of an abstract theoretical concept or result from one of your courses. (It's enough just to name the concept or state the result.)


10. What is it about math courses that you find most engaging/interesting/compelling?




11. Based on your own experience, what do you consider to be the main value or purpose of abstraction in mathematics?





12. When you think of abstract thinking in math, which of these adjectives do you consider appropriate? (Circle all that apply)
  easy important for society frustrating
  hard important for getting a job peripheral
  mechanical important for your understanding creative
  challenging trivial understandable
  mundane interesting confusing
  Other words that come to mind: