Friday, October 5, 2007

"Adapting and Extending Secondary Mathematics Activities": pg. 106-151 - Five Interesting Quotes

1) Teacher advice for passing examination questions such as this would be to not treat the question as a real problem, but to ignore the context and look for the school mathematics" (Prestage and Perks, pg. 107).
I found this quote interesting because I think that there is no point asking students to use school mathematics to answer questions if those questions do not require math. I think that students should only be asked questions that require math to be answered. I think students find it useless to answer questions using math or a certain mathematical concept when they can answer the question without it.

2) "For most of you the questions can be answered easily (not so the pupils)" (Prestage and Perks, pg. 110).
This quote caught my attention because I think that it is very true. It is very important for the teacher to always remember that something that might seem very easy for him/her, is not easy for everyone. Teachers have to remain patient until their students understand the concept or problem. I have heard of many teachers who would get upset if students did not understand the concept/problems that the teacher thought was easy. According to me, these kinds of teachers are not very good teachers.

3) "You will need to adapt all activities for the short- and long-term needs of the individuals you are helping to learn mathematics" (Prestage and Perks, pg. 130).
I like this quote because it reinforces the ideas that teaching is student-centered. Also, teachers need to always adapt their teaching: sometimes a lesson that works for one group of students will not work for another group. Therefore, teachers have to be flexible.

4) "If we design activities that connect the mathematical content in as many different ways as possible, you can make the syllabus more manageable" (Prestage and Perks, pg. 141).
I like the quote because I think it provides a good suggestion on how to work through the curriculum in a manageable way. There is a lot of material to cover in the curriculum and connecting the different concepts is what a teacher has to do to get through it. It would be impossible to get through the entire curriculum by doing each concept on its own.

5) "Add to the columns by stealing as many ideas as you can from other people" (Prestage and Perks, pg. 143)
This quote stood out for me because it reveals that colleagues, students, parents, and others are an excellent resource for teachers - teachers can get a lot of useful ideas from others. I think it is very important for teachers to know this so that they do not think that they have to make up everything themselves.

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