Skip to main content

Letters from the Northern Front

As I read through Gerofsky's "Battleground schools: Mathematics education", it struck me to recall my mathematics education in New Zealand, and how much it pointed towards elements of the conservative and progressive approaches. I quite enjoyed mathematics up until the senior years of high school. However, at the university level, lectures and tutorials seemed to point to a conservative view. As I scanned down the table comparing the different elements of mathematics education (2008, p. 392-393), I found myself ticking off the assumptions belonging to the conservative column, although as Gerofsky mentions, this dichotomy is not always the healthiest ways to understand approaches to math education. However, it does reveal how much of my pre-conceived notions of mathematic education derive from my background as a mathematics learner, and how I now face a paradigm shift in the way I orient myself as a mathematics educator.

In a bullet point that described who conservative math belonged to, Gerofsky noted the assumptions of these owners as "eggheads, nerds, absent-minded professors, unable to cope with human interactions, and not fully mentally competent" (2009, p393), I can't help but chuckle while recalling how much my professors resembled these descriptions. Perhaps it is this culture of conservative math that I experienced at the university level that caused me to become jaded in the topic of mathematics in my early twenties, contrary to how passionate some of my math teachers made me feel in my earlier years of learning mathematics. It brings me sorrow to think of the many students who are still passing through similar systems and may become dissatisfied about learning mathematics.

Reading through the three larger movements in math education makes me wonder how the New Zealand curriculum of mathematics was developed, and which, if not all, of the periods greatly influenced the development of the of our math curriculum, particularly the shifts of the former curriculum structure of School Certificate and University Entrance, to the current National Curriculum of Education Achievement, commonly referred to as NCEA. While both conservative and progressive approaches could be applied to the content in the curriculum, through my own experience, many math teachers still prefer to teach by a traditional algorithmic method through textbooks and the droning of exercises. I'm left more intrigued about the development of math curricula in both New Zealand, North America, as well as the countries which rank so highly in PISA and TIMSS.

Gerofsky, S. (2008). Battleground schools: Mathematics education. In Mathison, S. and Ross, W. (Eds.), Battleground schools. Westport, CT.: Greenwood Press (10 pp., 4100 words).

Comments

  1. Thanks Arthur! I would be very interested in learning more about similarities and differences with the New Zealand system. And those nerdy, egg-head, absent-minded professors -- not exactly role models that most young people would like to emulate!

    ReplyDelete

Post a Comment

Popular posts from this blog

Reflections on Elliot W. Eisner's "Three Curricula that Schools Teach"

Eisner sets out to explain the three curricula taught by schools, including the 1. Explicit curriculum - what is made public through course announcements 2. Implicit curriculum - the socialization through physical and behavioural structures of the school and classroom 3. Null curriculum - what is left out from our explicit curriculum Through his theory of implicit education, Eisner makes his case that is it usually more important for a student to study the teacher, rather than the course content, in an attempt to achieve a good grade. The students reads the environment created by the teacher to establish to determine how much effort they should put into a class, particularly in systems that use behaviour modification techniques. How is it that we should go about cultivating student initiative and to develop intrinsic motivation so that students find the joy of learning for themselves, rather than to please their community - teachers, parents, and peers - through their achievements...

Microteaching reflection

Yesterday, in small groups, we taught each other micro-lessons around a topic that was non-math/non-curricula. I decided to teach a lesson on a figure skating: waltz jump (on the ground) - Lesson plan in previous post. Reflecting upon the experience, I was a little nervous throughout the process, teaching a skill that I had done over and over again, but had not thought much about the learning of the process in over ten years. Although a clear lesson plan was drawn out, I did not review it as much as I should have, and smaller details were omitted. (Waltz jump along the arc of a circle and connects to the edges used.) My peers seemed to enjoy the task of learning about the skating boot, knee health, and performing the jump, and all written comments were positive. I ran out of material at the end, and as this was as far as I had done in figure skating, I wasn't entirely sure how to proceed from there. (This shows in two feed back forms that indicated that my area of improvement was...

But do you really understand?

In response to Richard Skemp's article on Relational Understanding and Instrumental Understanding (available here ) The Skemp article prompted me to consider my own experiences in learning and teaching Mathematics, particularly in my home country, New Zealand. New Zealand has national assessment/certification for  all  high school subjects, the National Certificate of Educational Achievement (NCEA). All Year 11, 12, and 13 students - the final three years of high school - studying the same subject and level, will take the same exam at the end of the year, at exactly the same time. Due the set type of questions, year after year, teachers have become accustomed to teaching for the exam, more often than not, for instrumental understanding. Although the NCEA administration have made small changes to the exams year to year, in hopes of creating space for teachers to teach for more relational understanding, this is not always the case. I, myself, have been guilty for tutoring c...