It turns out that is does.

At least from a mathematical perspective. Visual thinkers tend to do more poorly in Math class than their analytical, verbal-logical counterparts (Clements, 2014).

However, this is not to suggest that visual learners do not bring something to the academic table. Some problems inherently demand a visual approach to most efficiently solve the problem. Why create a system of equations to solve a problem when a visual time line of the events can organize the information, leading to a correct solution within seconds?

Consider, for example, the following problem…

**“In an athletics race, Johnny is 10 m ahead of Peter, Tom is 4 m ahead of Jim, and Jim is 3 m ahead of Peter. How many metres is Johnny ahead of Tom?” (Clements, 2014)**

Visual learners, particularly those of us with a Physics background, will instinctively draw a timeline of these events. When I approached this problem, I made Peter’s position my reference point, and arrived at the correct answer in less than 20 seconds. An algebraic, verbal-logical solution would have been a much more tedious process. Where my strengths lie as a learner, is my ability to abstract the critical pieces of information of a problem via lists and diagrams, then due to hours of practice, I can create equations to model and solve the problem efficiently. My first instinct, however, is to draw a diagram or some sort of visual, before attempting a more logical approach.

Clements concurs that people who favour visual approaches will tend to use visual approaches for all situations, even when they are not particularly effective. And because of this, visual learners do not tend to do well in courses such as mathematics, because more often, a verbal-logical, algorithmic approach to math is optimal.

#### So how did I succeed in my Mathematics undergrad degree?

Adaption and perseverance.

I LEARNED how to be more analytical and logical, over time. And because of this, I am able to utilize my visualization strengths in conjunction with my acquired logical strengths, and I became a visual, verbal-logical mathematical machine!!! (Well, relatively speaking, at least.) Clements’ paper eludes to his own experience with pre-service elementary math specialists who had above-average math aptitude, but lacked the analytical edge. Through collaborative problem solving approaches, visually dominate teachers were able to compensate for their initial lack of verbal-logical skills.

How can we, as educators, use this concept to better service our students?

#### I think we can do at least two things…

- Put an end of working in isolation. Pair and group students together so that individuals can bring their own strengths to the academic table. We may have natural tendencies to favour certain methodologies, however, that does not mean that we are unable to acquire new skills.
- Don’t be afraid to put students outside of their comfort zones. I am not suggesting that we do not scaffold, however, academically coddling them does not allow for optimal growth. As educators, we should channel our inner-Zygotsky and create opportunities for students to work within the zones of proximal development, alongside their peer MKOs (More Knowledgeable Others).

#### In ETEC 533 this week,

…we were asked to investigate a handful of “Information Visualization” sites and programs. For myself, I spent time with NetLogo, Geometer’s Sketchpad, Wisweb, and Illuminations Applets. I did not spend additional time with PhET, as I regularly use this site in my practice already.

Perhaps it is because it is the end of the course. Perhaps it is because my husband broke his arm last week. Or perhaps it is, “what it is”… Other than PhET, I do not envision using most of these Info-Vis programs in my practice. Why?

NetLogo— too confusing; I don’t have a programming background; I did not find it user friendly, at all

Geometer’s Sketchpad— the practice activity was cumbersome when compared to the ease of using Desmos; I got into some of the animations, during my short 20 minute, free trial, however. If the BC Government hadn’t essentially removed geometry from senior mathematics, I could see myself wanting to use this program more. Geometry apparently has little connection to LNG…

WisWeb— no Java, no time, no dice; I recognize the lameness of this, however, I think this is indicative of my state of mental exhaustion; I would have liked to have seen the balance applet that modeled algebraic rearranging.; In grade 10 Math, however, I focus on more efficient mental imagery when doing algebraic manipulation.

Illuminations— I will likely spend more time with this site; what is great about this site is that you can easily search for grade and topic specific material; being a gifted education math teacher, there are many interesting topics to dive into and although, geometry has gone do-do bird in senior math, it is still alive and well in the Waterloo Math Contests.

Whether or not you personally like to use a particular program, is not terribly important. We all learn in our own unique way, therefore it is logical to assume that we will all teach in our own unique way. What is *ultimately* important as educators that wish to deliver using digital technologies, is that we tap into our students’ intrinsic motivation.

#### Easier said than done?

Perhaps not if you design your practice around a few, simple motivational concepts, as outlined in the paper, “Reality versus Simulation” (Srinivasan et al, 2006):

- Design your lessons to “optimally challenge” your students. Like a video game, lessons shouldn’t be too difficult or too easy, for our students to engage with.
- Be INTERESTING. There are two key ways:
- Weave NOVELTY into your lesson. (C+C Music Factory knows this, well.) A very smart person conducted a study that investigated K-1 students’ tendency to utilize scientific language when describing animals. These budding, young scientists used scientific language more often when describing animals such as legless lizards and hedgehogs than when describing more common animals such as rabbits.
- Convey a sense of IMPORTANCE and/or VALUE to what is being learned. From my own experience, ever since I began prefacing the Factoring Unit in Math 10 with, “This is the most important unit of the course” language, the unit is no longer one of the weakest units. People seem to take it more seriously when I put it on a pedestal. I also show students where I use it in my Grade 11 and 12 classes, in order to reinforce that this process is not going away any time soon.

My favorite moment as a teacher is when I pour hours into a particularly novel lesson, only to receive a less than favorable response from students. Also, do we need to be Bill Nye the Science Guy everyday? Meh. Not every new activity we try will be a home run, that is for sure. However, I liken the attempt to digital photography. You take a few shots and eventually, you get the “perfect shot”. And sometimes, our students don’t know what is “good for them”, either. They have yet to go through all of the grades and schools, as we have, so how can they truly know what tools they need to have?

Perhaps when I have a moment to “catch my breath”, I will revisit some of these “info-vis” programs. I am not writing them off completely. One of the best aspects of this career is its non-static nature. Never say never. If we want our students to keep open minds about methodologies, we had better do the same!

###### References

###### Clements, M. K. A. (2014). Fifty years of thinking about visualization and visualizing in mathematics education: A historical overview. In *Mathematics & Mathematics Education: Searching for Common Ground* (pp. 177-192). Springer Netherlands.

###### Srinivasan, S., Perez, L. C., Palmer,R., Brooks,D., Wilson,K., & Fowler. D. (2006). Reality versus simulation. *Journal of Science Education and Technology, 15*(2), 137-141.