Willa had a very interesting post the other day about the role of testing in the homeschool. I do not have any reporting requirements so have never been forced to think about this very much. On top of which I tend towards unschooling and tests hadn’t really come onto my radar, even if the odd workbook has. So Willa’s thoughts on the subject were thought provoking for me. I encourage you to go and read what she has to say. (I also found it very helpful to read the linked posts on her other blog outlining exactly what she did with her 11 year old. And how she recorded it.) The way she talks about it will encourage you to ask your own questions and maybe think about what you are doing in new ways.
It isn’t like testing and assessment are completely new to me. I did spend several years working as a university professor during which time I had to assess my students. I entered that profession at a time when UK universities were beginning to provide some training in teaching and had the opportunity to think about assessment in that context. I think Willa’s post helped me work out how to link that experience to my current adventure.
I know most of you think we are on holiday, but 3 months is an awfully long “holiday”. And Mat is working. So we are doing some “school” things with a perhaps larger than usual complement of museum trips amongst our activities. I have discussed earlier that Tigger actually likes math workbooks (as long as she doesn’t have to do the chapters in order, or do every problem on the page) so we have a grade 7 math workbook that we purchased at our local bookstore (Spectrum, I think; we just looked at what was available and she picked the one she liked best). The chapters in this one start with a Pre-test, then have a page on each element, then finish with a post-test. (I can’t find a post in which I actually told you that. Maybe I posted it on a list. Darn. Anyway, it’s true though surprising and frustrating in that "just when I’d figured out what works" way that kids can be frustrating.)
She decided to work on the whole numbers chapter recently and had done a few of the lessons. I decided that this might be a good topic to try doing the post-test properly – the whole thing in one session. The topic is one that she has mastered but the problems are not so easy as to be boring. I was a bit worried about the length, but thought it was worth a try.
We discussed my proposal the other day. I pointed out that I was pretty sure that she had mastered this material. I checked that she agreed with this assessment and my assessment that it wasn’t too easy. I said that the main purpose of doing the test was to practice concentration, working on something for a longer period of time, and making sure she was paying attention to details and accuracy. She wasn’t happy about it but agreed that it would be fine to do this. I gave her a couple of days so that she would get used to the idea.
We did the test this morning. I wrote down the time started and time finished so that I would have a better sense of how long it takes her to do one of these and how long is a reasonable length for her. I allowed her to have her multiplication table, as I have long since decided that memorizing math facts is not a priority. She worked very well. When she started to get too fidgety (about half way down the front page), I suggested that she might want to turn over and do the word problems next. She did and then came back to the rest of the questions on the front. There were 36 items (of which 6 were word problems). She took 1 hour and 24 minutes to complete the test including at least 2 attempts to renegotiate (not long) and a bit of fidgeting and drawing shoes in the margins. She got 30 problems right. Those she got wrong were mainly due to forgetting to add in the digit carried. These usually happened at the point where she was losing concentration (right before she flipped over to the word problems, and right at the end of the test). Interestingly, switching to word problems fixed the concentration problem.
Overall, I think this test was a bit too long. But she did fine over an hour (with that change of type of problem in the middle). So in future, I think I would design the test to take about 1 hour and have a mix of types of problems. After I had checked her answers, we went through the mistakes and reworked 3 problems that seemed way off. We discussed the issues I had highlighted before the test – concentration, attention to detail, working on something for an extended period. I told her all the things I’ve said above.
I think this discussion was very useful. It helped her see what I saw in the test, including that I agreed that it was too long. We talked about maybe doing tests again, though not frequently, and that I would make sure that the length was more like 1 hour. Given that she has been less than enthusiastic about doing anything she thinks will take more than 10 minutes, her agreement to the 1-hour was quite a step. She did see that she was okay for most of this test.
In general, my objection to so much of the testing that happens in schools is that it is designed as a means of assessing the efficacy of schools or assessing progress towards population level goals (e.g. x% of the population of 6 year olds should be able to read to y level). This kind of testing often ends up focusing on things that are easy to test and easy to grade in large numbers. When linked to funding for schools and education, it often leads to schools teaching kids to pass tests. In addition, the goals may or may not be suited to individual children and the test happens at a fixed time that is not in any way associated with the readiness of the child to be assessed on the work.
Assessment of individual children to determine to what extent they are meeting the educational objectives set is another thing altogether. Here assessment works in the service of learning. In larger group settings it enables teachers to identify what has been learned when this might be difficult organically. In institutional settings it enables the assessment of learning to be audited by others or demonstrated to be fair between different children. But, as Willa points out in her post and in the comments, assessment can also provide an opportunity for children (or students of any age) to collect their knowledge and order it in particular ways. It can offer an opportunity for selection of appropriate material from the stock of knowledge and the construction of arguments, supported by evidence, that engage with a particular question. It is interesting (and perhaps not widely known to Americans) that writing essays is central to the mode of instruction at Oxford and Cambridge. Weekly essays, then discussed with the tutor, do not count towards the final mark or degree result (which is entirely based on examinations).
I’m not convinced that the Oxbridge methods are very effective. However, they indicate that writing essays (and perhaps other forms of assessment) might have purposes beyond merely assessing the learning of the student. And it is to explore this that I decided to give Tigger the math test. I articulated my goals not in terms of assessing the math (though I knew it would do that, too) but in terms of skills of concentration, stick-with-it-ness, and attention to detail. Because education isn’t just about the content…