READINGS in Mathematics 2016

These papers and readings, news items and notes I have found to be interesting and useful. For each one I have given a brief review.

Trends in Mathematics - How they could change Mathematics Education. This paper written March 2008 is by Laszlo Lovasz. I found it on the Wiki Klein Project desxcription http://wikis.zum.de/dmuw/index.php?title=The_Klein_Project. He discusses some trends in mathematics about the size of mathematics and what is now important, the effect of the computer, new mathematics, algorithm design and exposition or learning how to share ideas. Here is a quote from the last paragraph "On the other hand, mathematics education does little to prepare students for this. Mathematics is a notoriously difficult subject to talk about to outsiders (including even scientists). I feel that much more effort is needed to teach students at all levels how to give presentations, or write about mathematics they learned." This is subject specific literacy and is what we are doing in schools in NZ. Worth reading and provokes good thought.

Dr Andy Begg wrote two papers for the 2015 NZAMT Conference. Here they are.
Maths Education, Some Challenges Workshop 3.2 -
"Abstract: Some of today’s mathematics teachers seem unhappy with aspects of our education system, but what is wrong, what needs to change, and what as teachers can we do about it? In this paper I focus on four challenges that I am aware of and believe that some teachers share. For me, these challenges are not problems; they are areas for consideration that will help us to improve mathematics education." Andy caused a lot of discussion in this workshop.

Rethinking School Mathematics Workshop 7.4 - "Abstract: Rethinking school mathematics is an ongoing professional process and should be part of our thinking about our pedagogy. It involves getting back to basics, it requires a significant effort, and it is a challenging process. Ideally the process occurs at the personal, school-wide, and national levels. To aid this task this workshop involves consideration of twenty non-trivial questions that focus on aspects of education related to our work. These questions are intended to encourage us to rethink our work as teachers."

Opening Speech for BOPMA NOV 2015 - Dr Alan Hampton. -
160 mathematics teachers listened to this speech and and I want everyone to read it. We all have to change the way we teach and students learn the mathematics needed for the future, their future. It will be how

Spiral of Inquiry

This paper describes the inquiry process to support teachers in IES initative. Helen Timperley et al give deep meaning to modern PLD direction. This work is all based on the BES work completed by the Ministry of Education several years ago. Teaching as Inquiry has become a big part of the work I do. Once the process is understood and normalised for the teacher powerful learning happens. Inquiry is research in the classroom, referred to by Lovasz above. In NZ this is a Teacher Registration requirement and must be recorded and shared every year. I have a 9 point template that I use with new-to-inquiry teachers to help the process and a .ppt writing frame to record for presentation.

The Rational Number Project - Old but relevant.
Lesh, Post and Behr made good progress into understanding the complexity of proportional thought. I have become fascinated with this thinking process as well and by teachers and researchers understandings of it all. There is a common understanding by researchers that proportional thinking is just linear or a/b = c/d type problems. The numeracy project supports this undeveloped notion of proportionality. What about the infinitely more various non-linear proportionality that orders our non-linear world? This paper starts the ball rolling if you are interested.

H Hu on Fractions - Curious.
Hu is a few insights into fractions. He has several papers on his website but this one is the jewel. You will find at least one interesting and useable idea in here. Enjoy.