IBL Calculus and "Learn by Doing" Assignments

This past fall I had the pleasure of teaching Calculus 1 to freshmen.  It was a blast!  I enjoyed every minute of it, and it's truly a privilege to be able to be one of the first professors that students see in college.  Not only is it a great experience for me as a teacher, it is also more importantly an opportunity to plant core skills and mindsets in students' minds at the beginning of their college career.

The basic setup for the class I taught is an IBL class using group work and daily handouts.  That's the base.   My colleague, Paul Choboter, was a partner in the endeavor, and we worked together to develop the daily handouts and plans.  A lot can be said about the partnership aspect, and I plan to write about that in another post down the road.  In this post, I'd like to highlight one of the innovations Paul and I implemented, called "Learn by Doing" assignments.

One aspect of IBL teaching is taking advantage of what is given to you, when possible.  At Cal Poly, the motto is "Learn by Doing."  So we used this to give a name to a set of assignments focused on developing dispositions, growth mindsets, and practical integration of information and library research skills.  You might need to call these "Go Wildcats!" assignments or whatever catchy moniker that suits your institution's environment.

What are Learn by Doing (LBD) Assignments?  These are written assignments, conducted entirely outside of class, broadly spanning three main themes.  The assignments are "added" to the course and do not replace the usual Calculus assignments expected of such a course.   Each LBD assignment takes about an hour, and are collected weekly.  The quarter (10 weeks) has 9 assignments in total.

The themes are

1. Effective Thinking (or problem solving)
2. University Library Resources
3. Productive Failure

Let's talk about each of these briefly.  Effective thinking is obviously an important goal, and one goal is to start freshmen with a fresh look on how they do math and how they handle challenges.  Hence, one focus is on the growth mindset.  The vehicle for this theme is Ed Burger and Mike Starbird's book, The Five Elements of Effective Thinking.  The book is an excellent introduction to a problem-solving approach.  I liken it to a friendlier, more general version of Polya's book, How to Solve It?  Three of the LBD assignments were devote to reading chapters from the book and reflective writing, in addition to short videos on growth mindset.

The second theme, University Library Resources, was co-developed with Kaila Bussert, Cal Poly Foundational Experiences Librarian.  Freshman need to learn essential information skills and learn about the fact that libraries are not merely stacks of books.  Finding good information via methods above and beyond basic internet search, such as using a library research database is an essential skill.  Additionally, using library spaces for collaboration, and finding sections of the library related to students' majors were other focal points.

Productive failure was the last theme.  A major obstacle for some students, in my opinion, is the misperception that mistakes are "bad," which is one of the unfortunate side effects afflicting many of our students, who have come up through a very rote memorization education.  When mistakes are viewed as something to be avoided, then students holding this view are severely limited. Curiosity and the adventurous spirit of an explorer are sacrificed for the sake of not ever making a mistake. Productive failure is part of the set of topics within the general area of growth mindset.

A holistic, integrated approach  
An important facet is that IBL courses provide an appropriate foundation or framework for Learn by Doing assignments.  The structure of an IBL course is consistent with the themes of LBD assignments.  Additionally  the three LBD assignment themes work together as an ensemble, where effective thinking, using library resources, and productive failure (growth mindset) as aligned. Students learn about effective thinking, how to find useful information, and are encouraged to take a healthier perspective of mistakes and learn growth mindset.

My sense after the first round of implementation is that there are further opportunities in first-year courses to integrate a broad set of skills, content knowledge, and positive learning dispositions. Integrated approaches are more work to develop initially, but also offer a high upside.  The upside is that we can teach our courses in ways that setup more students for success and align what we do in our classes to the big goals of education, to develop powerful learners.

Good Read: The Novice IBL Blog

Another quick post. Nick Long, Liza Cope, and David Failing, attended an IBL Workshop last summer, and have quickly become powerful voices in the IBL community.  They have developed a wonderful consortium blog, called The Novice IBL Blog, with great insights and honest accounts of what they are thinking and how they are managing their IBL courses. 

Quick Post: Re-Entering a New Term, Ken Robinson

Happy New Year!  Things have been relatively quiet on the IBL blog, but that's because we have some big things in the pipeline, such as a new NSF grant to expand IBL Workshop offerings.

This is year 16 for me as a teacher (post PhD program).  Year 20 including my grad TA days.  Each term I like to start by reading books on teaching and re-watching inspiring videos.  Doing this gets me into my teaching mode, thinking about why I do what I do by revisiting core principles.  Each term is an opportunity to build on our prior successes, by looking at what worked and what we can improve in each of our classes.

Videos are easier to share in a blog post, so I'll do that :)  Here's Ken Robinson:  "How to Escape Education's Death Valley."

IBL Workshops in June 2016!

I am pleased to announce two IBL Workshops in June 2016.  The 4-day IBL Workshops will be located on the campus of Cal Poly San Luis Obispo.  These workshops are open to all college math instructors teaching undergraduate math courses at their institution.  Early-career faculty (grad students, postdocs, and assistant professors) are especially encouraged to apply!

For more details please visit the IBL Workshop page on the AIBL Website.

These workshops are funded by an National Science Foundation Improving Undergraduate STEM Education (IUSE) grant (NSF DUE - 1525058)

Video by Jo Boaler, "Boosting Math"

Professor Jo Boaler, Stanford University recently posted a great video, called "Boosting Math."   It's intended for students (and parents, teachers, administrators) and highlights better mindsets and brain research that supports the notion that we can all learn Mathematics!

Day 1 Activity: "What is one of your hobbies, and how did you get good at it?"

Day 1 is here at Cal Poly (Quarter System).  I know we are a month behind nearly everyone else, but day 1 is still day 1.  This quarter I am working with Professor Choboter on Calculus 1, and we implemented one of the strategies to build student buy-in our classes.

We asked students via email before the first day to think about one of their hobbies and how they became better at it.  In class, we have students talk to a neighbor to introduce themselves and share with one another their hobby and what they did to get better at that hobby.  We then asked each pair to talk to another pair and introduce their neighbors.  So each person interacts with 3 other people right away.

Next, students were asked to write on the board their hobby on the left side, and on the right side I asked them to write how they go better at the hobby.  Here are images of the boards.

   

Hobbies

How they go better at their hobby

No one wrote, "I sat back and watched someone, and that's how I got better at it."  I use their statements about how they get better by discussing with them that it's the same with math.  I mention that we get better when we practice regularly, both individually and collaboratively.  Therefore, we are running this class via IBL and we are going to work as a team on the math.  Students seemed ready to get on with it, so that was it.  With that done, it was time to dive into the first math activity of the term!

Ongoing work to continue building student buy-in is also important.  More on that in future posts...

Quick Post on Nuts and Bolts: Index Cards

I am teaching calculus 1 this fall quarter to mostly freshmen, and truly excited about being in the classroom again after a summer off!  Day 1 is tomorrow.

This short post is about the basics. I'm bringing index cards, my binder full of activities, and colored pens.     The index cards are useful for making name "tents" on day one.  I can start day one by learning names and calling on students to share their ideas and strategies.  One of my classrooms has stadium seating, which makes it difficult or impossible for me to get t the middle of the class. Using index cards (and maybe some creative seating strategies), I’ll still be able to engage with all students and learn their names.

Index cards can also be used to write student names to select students (or groups) randomly, for keeping track of student presentation, for mixing people into groups (by writing numbers or letters), and for writing question prompts to pass out to groups.  I am sure there are more uses.  I keep a couple of stacks handy at all times.

Edit:  I use some cards to help me learn names.  I use other cards to mix groups.  I used to mark presentations on a card, but now write notes and use a spreadsheet.  The point here is that cards can be used for lots of things, and having them around is really useful.