Editorial.
Beswick, Kim ; Muir Tracey
Welcome to the first issue of Australian Primary Mathematics
Classroom (APMC) for 2010. We trust that the new school year has started
well for you and that you will continue to find APMC a source of ideas
to inspire your students to explore mathematics. If you are a new reader
of APMC, you are especially welcome and we hope that you will be come a
regular reader-and perhaps even an author. We are always very keen to
publish articles written by teachers for their colleagues, so please
consider writing about a particular activity or approach to mathematics
teaching that you have found effective, or simply sharing something that
you have learned from your students about teaching mathematics. We can
assure you that the response will be positive and helpful (it is usual
for articles to be revised and worked on in response to feedback from
our wonderful reviewers). Follow the link at
www.aamt.edu.au/Professional-learning/ Journals for more information
about how to contribute an article.
You may have had a chance to look at the draft Australian
Curriculum--Mathematics or perhaps your school is part of the trialling
process through the first half the year. We encourage all teachers to
consider the draft carefully and to provide feedback, either as
individuals and/or through their local associations affiliated with The
Australian Association of Mathematics Teachers (AAMT), so that the final
document meets the needs of teachers and, most importantly, learners of
mathematics. Do not forget that you can register at www.acara.edu.au to
receive email alerts about the new developments and opportunities to
contribute. Our first article for 2010, by Elizabeth Warren and Eva
DeVries, reports on activities that have been used effectively with
young Indigenous students to develop deep mathematical understanding and
enhance engagement with mathematics. They stress the importance of
mathematical communication and representations and focus on early number
ideas. Many of these ideas are readily transferable to other early
mathematics learning contexts.
Philip Clarkson picks up a theme that is very relevant in the
Australian context: that of gardening and, particularly, the efficient
use of water. He describes investigations conducted by students in three
schools and highlights the considerable mathematics that can be
developed using this context. Students were involved in collecting and
representing data, designing piping networks, and working with
fractions, percent and ratio.
The first Hot Ideas for 2010 are contributed by Gai Mooney and
provide a timely reminder of the opportunities afforded by
CensusAtSchool. The project is running annually from 2010, participation
is free, and real data from thousands of students is available for
students to work with at any time. It is well worth considering getting
your class involved.
Unfortunately many students (whose teachers are not readers of
APMC!) leave the compulsory years of schooling with very negative views
of mathematics. Len Sparrow and Chris Hurst explain how negative
experiences-resulting in negative emotions--can become reinforcing and
take considerable effort to change. They suggest that the keys to
turning this situation around are making sure that we offer varied
learning experiences, are explicit about the mathematical purposes of
tasks, and use open tasks that can be adjusted to provide the right
balance of challenge and success for students. The tried and true
activities they present are an excellent start.
In our fourth article, Hui Fang Huang Su, Carol Marinas and Joseph
M. Furner introduce a free Web-based tool that can be used to enhance
students' number sense across the primary school grades. The Square
Tool provides flexible ways to draw students' attention to number
patterns and the properties of numbers.
Bryony Heath, our first New Voices author for the year, discusses
the importance of establishing meaning for mathematical notation rather
than simply focusing on naming symbols. She illustrates the point with a
description of how she introduced the symbols ">" (greater
than) and "<" (less than) and what she learned as a result.
We hope that you enjoy the articles in this first edition for 2010.