I am now nearing the end of my EMTH 350 course. Looking back at all the blogs, my most favourite blog was “Blog About It: Entry 6 Part B.” I really like this blog because I actually connected what we have been talking/blogging about to what I actually did in my pre-internship. In this blog, I am making connections and I have a better understanding of the teacher education program. Also, reading it over, I have a flash back of my pre-internship experience and think about all that I have learned and how I have grown/changed. I love to reflect and think back about what has changed and what hasn’t. So of all the “Blog About It” posts, entry 6 part B was my favourite.

If I could go back and redo any of my blogs, I would definitely redo the first blog. Looking back at it there are a few changes that I would like to make and add a few things, especially after my pre-internship. Also, I would just like to rewrite it in general. Reading it over, I can see that I made a few grammar mistakes and there are a few wonky sentences. Lastly, I would redo this blog entry because I feel like I could have expanded more on a few ideas. I can’t remember if there was a word limit, I know for sure that there was a minimum but if there is no maximum, I would definitely like to expand on a few points.

Although this is the first blog is the one that I would like to redo, it was also one of the blogs where I feel that I have learned the most about myself as a teacher and learner. The main reasons for this are mainly because it made me question what the purpose of teaching math was, how to actually teach math, and how my past experiences have shaped how I thought of teaching math.

**Create a blog entry you would like to have been asked to respond to but were not; after creating the blog entry question, respond to it.**

– How did your pre-internship go? Did you try any inquiry assignments? What did you do and how did it turn out?

Pre-internship was great! I learned a lot and it was an enjoyable experience overall.

Throughout my pre-internship, I did try two inquiry lessons. The first inquiry lesson that I taught was an introduction to the unit of using the law of sine and the law of cosine for obtuse triangles. In this lesson, I wanted students to figure out the relationship between the sine/cosine/tangent of an acute angle and the sine/cosine/tangent of it’s supplementary angle (obtuse angle). So, I gave students a chart that had a number of acute angles in the first column and instructions of what to do with that acute angle going across the top row. Ex:

Originally, we had this worksheet in a different order. So, we had them do the sine/cosine/tangent of the angle first then do it of the supplementary angle. Students didn’t see the relationship of the angle and it’s supplementary angle initially until I pointed it out. However, I was able to reteach this lesson and I changed the table to look like the document above. Immediately after filling in the values, students were able to make that connection since the values were side by side. In the end, both classes ended up realizing the pattern was that the sine of an angle is equal to the sine of it’s supplementary angle and that the cosine/tangent of an angle was equal to the negative of it’s supplementary angle. As a note, the second lesson definitely went better than the first so I am glad that I had made that change.

The second inquiry lesson that I had taught was the ambiguous case of the sine law. With this lesson, I gave models of an acute ambiguous triangle:

Students were also given a chart where they had to determine the height of the triangle, whether or not the value of “a” was larger than, equal to, or less than the height, how many and what type of triangles were created, and then they had to draw the diagrams. In this lesson, students discovered that with acute ambiguous triangles, that if a<h, then no triangles were created, if a>h but a<b, then two triangles could be created, and if a>b, then only one triangle could be created. Overall, the lesson went fairly well. However, the students got hung up on trying to determine the type of triangle that was created. So, if I were to change the lesson, I would definitely take out the part where they have to determine the type of triangle. This would definitely have saved time and allowed them more time to work on examples and the assignment.

Overall I would say the lessons were a success but I wish that the students had more time to do examples and practice using the material that was just learned but unfortunately we were under a deadline and had to assign whatever homework wasn’t done in class (which was difficult since a majority of students did not complete their homework at home – and I knew this and was trying to avoid it).

**Looking back on the EMTH 350 course this semester, describe two topics (areas of interest) you would like to have focused on more in this course that you feel would help shape your growth and learning in becoming a mathematics teacher.**

1. Flip Classroom

2. Inquiry in math. Just kidding! We did a lot of that. I would say creating assessment for students and giving feedback.

**Looking ahead to internship in the Fall, describe two overarching goals you have (or want to) set for yourself. (If possible, connect these two goals to learnings you have had in this course or in your teacher education program in general.)**

1. Trying inquiry at least once a unit (maybe once every week or two – even if it is just small)

2. Work on differentiation and try tiered assignments.