Bringing it all together?

In today's class, we will work at bringing together much of what we have been discussing and learning about it our class in the context of a particular mathematical topic.

Let's consider some aspect of the following mathematical topic:

Triangles (approached at whatever level/ course content that is of interest to you)

If we were involved with mentoring new teachers and wanted to offer an example of thoughtful, effective ways to teach this topic, taking into consideration contemporary research in mathematics education, how could we do so, taking into account:

• ways to introduce the topic
• taking a problem-solving approach
• promoting students' mathematical understanding
• finding worthwhile ways to exemplify aspects of this topic
• integrating embodied, multi sensory ways of knowing with symbolic, language-centred abstract ways of knowing
• treating this topic in a way that promotes equity (cultural, linguistic, gender, class, etc.)
• designing effective ways to assess and evaluate student learning that is congruent with our approach to the topic
• making sure that these new teachers are developing the necessary pedagogical content knowledge  they need to carry this out
• perhaps even integrating the history of mathematics, mathematics and the arts, etc. in the pedagogy!

I have brought textbooks and lots of various materials, and you may use the materials in the classroom as well.

Looking forward to seeing how we can try out putting our thoughts into practice in the role of teacher mentors/ teacher educators!