Monday, July 19, 2010

“I Don’t Get What They Don’t Get!”

I was working with my co-teacher and we were planning math lessons for the next week. We were to begin a unit on linear equations which we had taught many times before. Many of our students struggle to understand the concept of slope even though we have come up with many creative ways to introduce and explore linear functions. Despite our best efforts, we were not reaching all of our students. My co-teacher turned to me and said “I don’t get what they don’t get!” That was a pretty profound statement coming from her considering that she was an expert in understanding how to help students “get it”. This made me pause and consider what I had learned in my on-line classes at Lesley. I remember learning that students need a strong foundation in ratios and an understanding of proportional reasoning in order to be successful in learning about slope. Was this part of the problem? We decided to give our students a pre-assessment and learned that our students were weak in proportional reasoning. As a result we spent several days exploring proportions and using proportional reasoning to solve problems. Students were finding success with this work because they had been exposed to ratios and proportions before and just needed more practice to solidify their understanding. The day came when we moved onto slope. A day or so into our explorations, one of our students practically stopped the class. He stood up and announced, “Wait, just a minute here. Could you say that slope is just a ratio and that’s all there is to it?” I gave this student a high-five and felt great relief. At times during the past week, I wondered if the work with proportional reasoning would make an impact. This was the first hint that it had indeed helped. My students were having less difficulty with the explorations and needed less support. Follow-up assessments showed that they were indeed learning and were “getting it”. We still had students who required interventions and support, but overall, we had found a better way to introduce a difficult topic.

I am now halfway through my on-line masters program in math at Lesley. This is just one example of how the math classes I have taken thus far have impacted my teaching practice. I am finding that with every class I gain new insights about student thinking and understanding. This allows me to develop tools that I can use to help guide my students toward mathematical success and true understanding of concepts. When I can figure out what they don’t get, then I have the opportunity to make changes that will help me become a more effective teacher in the classroom.

Tuesday, July 6, 2010

Why Online?

I have just completed my fifth on-line class in the M.Ed. in Mathematics Education at Lesley and am beginning my sixth course. I will complete this program in two years, taking one class at a time. I have been asked by my colleagues at work how I feel about being in an on-line program. Since I am half-way through my coursework, I am in a position to speak about some of the benefits that I have found from being in the program at Lesley. Every class that I have taken has aligned to what I teach as a middle school math teacher. Each professor has been excellent, not only because they are knowledgeable about the content, but because they also have experience in the classroom. They are passionate about their areas of expertise and go above and beyond to help everyone in the class grow as a teacher of mathematics. It is hard to explain how one makes a connection with on-line classmates so quickly. It happens because we are afforded so many opportunities to interact. We share mathematical solutions, teaching strategies, and work on group projects. We give one another links for teaching resources, trade lessons and discuss our successes and challenges. Most importantly, my classmates provide support and help whenever I need it and I am grateful when I am able to do the same for them. With the start of each class, I am excited to “see” familiar faces and find that I quickly make connections with classmates I am meeting for the first time. The online classroom allows me to experience diversity; my classmates come from all over the country, or I should say all over the globe. The on-line classroom experience is enriched because of our varied backgrounds. Collectively we teach in different places, use different curriculums, and teach at different grade levels. I picked this program initially because I live in a somewhat remote location and it would be a challenge to commute and attend class in person. I also liked the idea of being able to schedule the time when I would “attend class” and complete my coursework. I did not foresee all of the other advantages. I have grown in my understanding of mathematics and as a teacher of mathematics. I have been humbled as I continue to learn how much I have yet to learn!