Reading interesting materials
Rationale: There are many interesting materials related to
mathematics on the Internet, in sharp contrast to many school libraries. Many
libraries often restrict themselves to mathematics textbooks, which are often
not very interesting to students, and rarely contain contemporary materials. As
well as good written material, some Internet readings may have an interactive
element, good illustrations, hyperlinks and so on; some also include
audiovisual materials, such as video or podcasts, which of course place more
demands on Internet connections, computer software and even budgets. Some
materials intended for the general public are suitable for students, especially
older students, and there are also good materials written expressly for
students. As well as resources for projects, etc, good readings may kindle
interests in mathematics that would otherwise not be sparked by more
conventional school experiences. Many materials in this area can be regarded as
concerned with the public understanding of mathematics or popular mathematics,
and so can be enjoyed by both students and their
parents, as well as mathematics teachers.
Here are some examples:
Plus
is an internet magazine published five times a year which
aims to introduce readers to the beauty and the practical applications of
mathematics. Whether you want to know how to build a sundial, how to keep
your messages safe or what shape the universe is, it is all here. Published
by the Millennium Mathematics Project team at Cambridge University, each
issue has typically five articles, each restricted to a few pages long, and
an interview with someone who uses mathematics in their career. Previous
issues are archived. A wonderful resource for students, but also for others. 
Maths and Stats by Email (formerly Maths
by Email) is a free fortnightly newsletter produced by CSIRO in
Australia. Each edition is provided by email to subscribers and contains a
number of components including a feature article, a handson activity, a brainteaser, some web links and news of events in the
world of mathematics. Although directed at upper primary students, the
newsletter contains materials of interest to older students, their parents
and teachers. The link above provides subscription details, as well as a link
to the current edition. Some previous materials are archived. 
The Mathematical
Association of America publishes a number of online columns, including blogs,
an outstanding monthly (or thereabouts) resource. Columns are archived and
can all be accessed from this page. Most likely to be of value to senior
secondary students are Devlins Angle
by Keith Devlin and The Mathematical Tourist by Ivars
Petersen, written by two of the finest popularisers of mathematics alive
today. Archives of these and other columns (including some very good
discontinued ones) are available too. All readings are short, as a magazine
column, and mostly accessible to a wide and educated audience. 
Jill Britton has made
this website with a huge range of interesting activities and information
associated with symmetry and tessellations. A wonderful site for browsing,
and, although not really a site intended mainly for reading by students,
there are so many interesting things here that students will find lots to
read and think about (as well as to do). The site is lavishly illustrated and
will help students see the connections between mathematical ideas and
aesthetic ideas in powerful ways. Related sites by the same author a similar
assortment for Curves
and Topology
and for Polyhedra.

NOVA is published by the
Australian Academy of Science and the mathematics section includes some good
examples of mathematical modelling of various kinds, mostly located in an
Australian context. The examples usually contain some text, a glossary of
terms, some activities to explore, some further reading and some useful
related web links. These will give students a good sense of how mathematics
is used and important in a wide variety of settings. 
The extraordinary site
created by Dr Ron Knott in the UK provides a huge amount of fascinating
reading related to the Fibonacci sequence and the golden rectangle, and is
regularly updated with new and surprising connections between mathematics,
the natural world, the built world and aesthetics, all seen through the lens
of the amazing Fibonacci sequence. Millions of visitors and a large number of
international awards attest to the quality of the material, which will help
students see another side of mathematics in a delightful way. 
The wonderful NRICH site
in the UK offers a range of materials to challenge and inspire younger
pupils, including those of primary school age. The material is generally less
sophisticated than that offered in the PLUS
magazine, which is produced by the same group at Cambridge University. Amongst
the materials are some nice enrichment articles for
students, classified by stages about various aspects of mathematics. 
This website allows
(sophisticated) users to read about some of the mathematics behind the
popular CBS television series, Numb3rs,
with mathematical additions from Mathematica.
This is a good, if rare, example of mathematics in the popular domain. Some
of the mathematics from recent episodes is described and illustrated and can
be explored using the software. (There is a link to other episodes at the top
of the screen.) 
Although it is focussed
on the UK, with different courses and nomenclature from those in Australia,
this is a really nice attempt to help students at different stages see how
important further study of mathematics is. The website is constructed and
maintained by a consortium of professional associations, sponsored by the UK
government, and gives a modern view of the place of mathematics in the world.

A good collection of
modern examples of how mathematics plays a big, but frequently hidden, part
in the lives of people. The chosen areas of security, communications, the
environment, finance, transport, industry and health are of central
importance to the modern world, and the brief descriptions of the role played
by mathematics are likely to interest many students and teachers. 
This is a 13part video
course produced for public television in the USA, rather than reading
material, and is directed at teachers and adults rather than students.
However, it is a recent series that is likely to be of interest to older
students and will serve the important purpose of bringing a fresh perspective
on mathematics in an engaging way. The series explores major themes in the field of mathematics, from
humankind's earliest study of prime numbers, to the cuttingedge mathematics
used to reveal the shape of the universe. The website contains interactives
and a mathematical history chart (Family Tree) as well as videos that can be
watched online (or purchased), but not downloaded, as well as a range of
excellent support materials, including readable text. 
This website offers a
number of short mathematical film clips, highlighting some of the ways in
which mathematical ideas appear in the everyday world. The material is
produced (and subscriptions sold) by The Futures Channel in the USA, so there
is an inevitable bias towards US contexts. However, many of the film clips
are likely to be of interest to students, and there are
associated activity materials provided as well for downloading. The emphasis
of the movies is on connecting mathematical ideas to the real world. 
This nice
series of mathematical moments is produced by the American Mathematical
Society. It comprises brief
snippets related to the ways in which mathematics is of everyday relevance today.
The main materials comprise onepage posters (in US letter size,
unfortunately) on contemporary topics, with many of these including also some
supporting materials, including podcast interviews and web links in many
cases. The posters can be printed for classroom display; a shorter and less
technical version is available for most. The moments are sorted into
categories of science, nature, technology and human culture, and some are
available in languages other than English as well. 
The American
Mathematical Society hosts a monthly essay on some aspect of mathematics,
with an archive of columns stretching back to the late 1990s. Columns vary in
style and topic, although most are designed to be accessible to a wide
audience, even if some of the mathematical details seem at first to be a
little daunting. (As the editors note, even if you get a little bogged down,
it is a good idea to look at what comes later in an article). These columns
give a good sense of the myriad ways that mathematics is used these days as
well as topics that mathematicians find interesting. 
This is a wonderful
virtual exhibit of many aspects of mathematics, sponsored by UNESCO. This
site allows students (and their parents) an opportunity to experience many
aspects of mathematical thinking in an interactive way. Many of the exhibits
also include associated activities for printing. This is a firstclass
mathematical museum, for which there is a real version as well, touring
internationally. (See the home page for details.) Available in four languages, one of which is English. 
A lovely mathematical
film that can be watched online, downloaded or
purchased as an inexpensive DVD. Constructed by a French team of
mathematicians and filmmakers, it is available in
several languages, including English. The film comprises nine chapters,
dealing with various aspects of dimensions (in the spatial sense). There is a
good guide available here, offering
advice about ways of using the materials for teachers and others. 
As the title suggests,
many of the materials on this site, or linked to from this site, have a
strong visual sense, so that a major attraction might be concerned with
aesthetics. The site is maintained by the American
Mathematical Society. In recent years, with the rise of computer
graphics and the use of mathematics in films and other media, new
mathematical ideas such as chaos and fractals have become very prominent.
Many of these are visible on this site, and are of interest even if the
details of the mathematics are beyond the readers, at least at first. 
This website offers an
opportunity to experience the effects of adding another zero to a number.
Each of the successive screens shows a power of ten in a journey that goes from quarks to quasars. The entire
universe is explored, from the farthest reaches of human knowledge of space
into the tiniest particles in an atom. A mindboggling experience, a version
of a wonderful black and white film by Charles and Ray Eames many years ago.
While it will help students make sense of scientific notation, the website
offers much more than that. 
Each Monday, there is an
addition to this collection of articles about mathematics in the everyday
world, written by George Hart for an online blogging magazine (Make magazine) concerned with making
things. With each item short and highly visual, the collection contains many
interesting elements and is sponsored by the Museum of Mathematics. 
A
free magazine from India (written in English) for secondary students from
Azim Prenji University with the Community Mathematics Centre in the Rishi
Valley. Issues contain many interesting articles related to mathematics.
Previous editions published since 2012 are also available, as well as other
materials related to mathematics for school students. 
Mathigon: World of
Mathematics is an interactive electronic online book that displays many aspects
of mathematics beautifully and offers some interactive opportunities for
readers as well. Read the Introduction first. Book chapters include Symmetry
and Space, Numbers and Patterns, Combinatorics and Logic, Probability and
Games, Motion and Matter. Wellwritten for a wide audience and a visual
delight. 
This
link to the American Mathematical Society Blog
on Maths Blogs provides a connection to many interesting parts of the
mathematical blogosphere. As well as the current entry, notice that here are
many blogs references, categorised and archived from this page, which will
contain much of interest to anyone interested in mathematics, despite being
unavoidably UScentric at times. 
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Last updated: 2 June 2015