I am finishing up grading the final exams of my students and getting distracted by the summer horizon. I love summer break so much and every year I made a summer list of "to-do's" that I hope to accomplish.
Summer Goal #1: Investigate Pedagogical Models of the Negative Integers in North America from the 1800s
This summer I would like to complete my history project. I have been investigating the use of negative integers in North American arithmetic and algebra books from the 1800s. I have made substantial progress, but I would like to keep working on this and really commit myself to this project. I want to first get deeper into texts in the 1800s and then move on to the 1900s. Right now, I have examined about 50 books in the 1800s and would like to increase that number. And, I want to present at a History and Pedagogy of Mathematics (HPM) Conference about this topic in 2013/2014. I just love this conference (as much as I love PME-NA). So, I want to prepare a decent paper on this topic this summer.
Summer Goal #2: Read Sfard (2008) Thinking as Communicating
I just received Thinking as Communicating in the mail last Thursday! I have thumbed through it and read a couple chapters. So far, I LOVE IT! I want to read this book thoroughly this summer. Take notes and write my reflections on it.
Summer Goal #3: Write a couple practitioner pieces
With a couple of my friends (researcher, teachers, and pre-service teachers), we have co-designed a few really interest lessons and taught them this past spring. Negative integers with a third grade class to volumes of revolution with high school seniors... It might be a bit overambitious, given my increasing number of goals, but I would like to write these up with my friends.
Summer Goal #4: Work on my literature review
Dr. Cynthia Langrall said told my class that some literature reviews are a delight to read because they synthesize and capture themes of the field/dissertation well and it's a smooth read. Other, literature reviews can just seem like summaries of the literature and are difficult reads. Of course, I hope that my literature review is the first kind. From advice from Dr. Laura Bofferding, I have been working on a database for negative integers. I am hoping that this will help me capture the themes in the literature and provide an excellent perspective into the literature on negative integers.
Summer Goal #5: Mentally prepare for my comp exams
I have finished all of my coursework for the PhD program. I have completed my professional project. And, I am slated to take my comp exams in August. To mentally prepare for my comp exams, I fully intend on enjoying my summer and having a lot of fun along the way. I have some long bike rides scheduled (60 miles - 100 miles). I am going on a mission trip to Honduras. I am planning on swimming and running all summer. And, who knows what else I will have in store! :) I think that this Goal #5 should probably be listed first! Mental preparation, and summer enjoyment, is my numero uno.
Will I finish all of these???
Maybe I will finish all of these; maybe I won't finish all of these. The great part about summer lists, for me, is there are not any deadlines. I can work on these as I feel like it. Making accomplishing these so much more enjoyable for me! :) Although, I suppose have definitely made myself a bit more accountable by sharing my summer goals publicly on the internet.