Uncovering Misconceptions with Pre-Assessments

As Shapiro (1988) describes, traditional classrooms assumed that when students came to school, their minds were ‘blank slates’ ready to be filled with knowledge and ideas taught by the teacher. To be successful and succeed, students would have to recall facts and figures, regurgitate information on tests based on questions posed by their teachers. As we have observed from Heather in the Private Universe video, however, students do not come to school without any prior-knowledge and have many personal opinions and theories on different topics. They come from diverse backgrounds and have a wide range of different experiences. These experiences lead them to some misconceptions on various issues and topics. As teachers, it is essential to find out what students already know about topics and draw out any misconceptions to teach and guide students effectively. To do this teacher cannot assume that a student knows or does not know content before it is assessed or taught. They should have a multitude strategies in their toolkit to find out what students already know or think about a topic before any explicit teaching and assignments are given. Mix et al. (2013) reaffirm this idea by explaining that teachers often assume that young students have a strong conceptual understanding of multi-digit numbers early on in school. Because multi-digit numbers are commonly seen in the world around us, such as phone numbers, menus, addresses, etc. and they can read many young children we assume they know what they represent. Many children, however, struggle with knowing precisely what multidigit numbers represent and mean and how to break them apart. Explicit instruction and many hands-on experiences with manipulatives are often required for children to build their number sense to understand multi-digit numbers (Mix et al., 2013).

I am working at an IB school, and part of our pedagogical approach to teaching and learning is to administer different types of pre-assessments to find out what students know, or think they know on a subject before starting a new unit. I recently did a pre-assessment on mixed fractions where students had to tell me how they could divide ten chocolate bars evenly among four people. They then had to represent their answer using a fraction, words and pictures. I was fascinated by many of the student’s answers. Some students, for instance, wrote 2.5/10, while others wrote ‘two in a half’ (at first I thought this may have been because of his New Zealand accent but when I asked him to read his answer he was adamant it was two in a half and had an elaborate reason as to why). Others had no idea where to begin and could not come to a final answer. The data revealed that many students had no conceptual understanding of what mixed fractions were, while others had an abstract idea but could not represent their thinking concretely. From this pre-assessment, I was able to make strategy groups based on what students already knew before any explicit teaching on this outcome. The Private Universe video was a great reminder that assessments like these, as well as good questioning, is vital in the classroom and be should be embedded into practice across the curriculum.

References:

Mix, Kelly S., et al. “Young Children’s Interpretation of Multidigit Number Names: From Emerging Competence to Mastery.” Child Development, vol. 85, no. 3, June 2013, pp. 1306–1319., doi:10.1111/cdev.12197.

Shapiro, B. L., (1988). What children bring to light: Towards understanding what the primary school science learner is trying to do. In P. Fensham (Ed.), Development and dilemmas in science education. London: The Falmer Press.

3 comments

  1. Pre-assessments certainly make sense, especially at the beginning of the school year and especially in Math. Before my current job at Pickering College, I worked at an educational company called Kumon that required every student to take a diagnostic test to place them at a comfortable spot in the curriculum – a place that the student knows 100% of the material. Since then I have seen a couple technology companies like ALEKS and IXL that use AI or algorithmic tools to keep students at the right level and address gaps in knowledge. In some cases, the algorithms were heavy handed and set students back too far when they made a mistake; in other cases, algorithms missed concepts that were core to future development in mathematics. This prompts me to ask: Will computers ever be better than teachers at teaching students math skills? If yes, how will the role of the math teacher be transformed?

    1. Hi Gordon,

      Thanks for your reply. It sounds like you will have a lot of personal experiences teaching Math and I look forward to hearing more about it. Many of my students go to Kumon after school, so it is nice to understand how they group students appropriately based on their level.

      I personally don’t think they computers will be better than teachers at students Math, at least at the lower level. I believe students need to be guided and have their learning build upon using lots of hands-on tools while collaborating with others. There are programs that I have seen such as Mathletics where students go through a list of questions, and the problems will get easier if the kids are getting many questions wrong, and harder if they are getting them all correct. Tools like these I think help reinforce concepts, but students need guidance to completely grasp the idea before getting to the point where they can apply with understand rather through rote learning.

      1. I would tend to agree with you. The system would need to be way more sophisticated than what we have today. For instance, highly advanced natural language processing would be necessary to take student explanations and respond in an appropriate manner to guide student understanding. This would require an incredible amount of programming with the help of math teaching experts.

Leave a Reply

Your email address will not be published. Required fields are marked *