One of my favorite authors when it comes to books about mathematics, must be Mike Ollerton. We use some of his books as curriculum on our courses within teacher education. For example, we used Inclusive mathematics on one of our master courses in mathematics education.
Mike Ollerton has written several books, and you can find most of them (I guess) on Amazon and other sites.
This book is just what the title says – it contains 100 starters for mathematics classes. They are more or less grouped by topic, although some activities might fit in everywhere. I have just read through this book, and I must say I found several new tips, activities and tasks that I could and will incorporate into my own lectures at the mathematics education department. I wasn’t able to find the solutions to all the activities as I read along, but I did some, and some where also what I would call classics of mathematics.
You must have a very bad imagination if you don’t find many activities to adopt to your classroom in this book! 🙂
Ollerton’s pedagogical way of thinking is quite clear from seeing these activities. It’s not about givint the students questions and tasks, but rather activities and problems. Some of the ideas might not even have a specific answer to be found. The activities are also expanded upon by providing hints for how the teacher could take the ideas even further.
I’d like to mention one little tip that my students liked very much. My students arrive by bus mostly, and there are always one or two buses that arrive late, and some students who have to wait a couple of minutes. I then gave each pair of students five die as they arrived, and instructions to throw them all once. The problem is to make use of the five numbers in order to arrive at 100 in one way or another. They can use plus, minus, division, multiplication and parentheses as they like. There appeared to be something within this activity that made them sit there thinking quite hard. Could all throws result in 100? (Of course not, five ones can not be made into 100). How many hundreds can be made? (Well, with 6 to the power of 5 possibilities I doubt that that is easy to find out). Perhaps if we also included powers…
I highly recommend this book for anyone teaching or learning or being interested in mathematics. You can order it quite cheap from Amazon og Play.com