SCIENCESTARS ISSUE 07
THE PHILOSOPHY OF MATHEMATICS Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
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Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
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CONTENTS CONTENTS
FEATURES
8 1 1 1 2
1
HISTORY OF MATHEMATICS Mathematics is everything Profile Dr Thanyani Daniel Rambane
5
The love of numbers
Careers
7
Maths Centre Maps and Mirrors
1 AIMS Imaginary Event
2 2 3 3 3
7 DST Nanotechnology Equipment 9 DST HySA Launch 1 Prof Mike Greathead Shield 4 Science StarS Puzzle 7 DST Increase in R&D
FOREWORD
the
turn run on mathematics and algorithms.
FOREWORD Mathematics underlies every modern technology Welcome to this special mathematics edition of Science Stars. Mathematics underlies every modern technology from plumbing to electricity, smartphones to satellites. Its applications are found in every field including economics, health, communications, transport, and energy. Mathematical sciences form the foundation of innovation. Science, Technology, Engineering and Mathematics (STEM) is a crucial ingredient in developing new technologies and growth. It is not coincidental that humanity’s progress only took off after mathematics began being used to formulate the laws of nature. This has never been truer than in the 21st century: more and more of the world is run on computers and information, which in
By strengthening access, quality and relevance of mathematical science education and research, countries provide a more skill-intensive route to industrial growth and development. The African Institute for Mathematical Sciences (AIMS) is one of the key players in the mathematical field, with five centres on the African continent and over 750 graduates who have either gone on to do PhDs, are working in industry or have become lecturers and teachers. In this issue you will find out more about the history of mathematics and how mathematicians in Africa have played a role in the development of mathematics. You will also learn about all the career opportunities available with Mathematical Science as the foundation for the ever-expanding investment and career opportunities in Africa.
Prof Barry Green, Director AIMS South Africa
Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
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ED’S NOTE
LETTER FROM
THE DEPUTY EDITOR Maths is everywhere.
Managing Editor • Evans Manyonga editorial@sciencestars.co.za Deputy Editor • Shani Rhoda
It is with great excitement that I introduce myself as the newest member of the Science Stars team. I am thrilled to join the world of Maths and Science. I have previously worked at a youth magazine and I enjoy communicating the latest news via print and online platforms. In the year to come, we hope to provide you with all you need to know about pursuing a career in Science. Entering the world of Mathematics can be a daunting experience. In the challenge of finding X, you lose yourself in a complex series of steps and formulas. However, once the fear of Mathematics is faced, it can be conquered and lead to endless possibilities. Personally, struggling through Maths made me question its importance after the wooden chairs and chalkboards of high school. I had my doubts as to whether finding the volume of a 3D cube would benefit my journey to work. After paging through this issue of Science Stars, however, I’ve had an epiphany: Maths is everywhere. It is the cement that builds solid infrastructure; it is the substance that creates chemical reactions and it is even the ingredient that bakes the perfect cake. I’m sure we’ve all pondered upon the question: “Who invented Maths and was it necessary to make it this difficult?” Dive into the History of Mathematics for a historical perspective on the importance of numbers. Understand the Pyramids of the Pharaohs using the geometry of triangles and join in on games of Mulabalaba where your estimating skills are tested. Science Stars has compiled this issue for the love (and fear) of mathematics in the hope of opening the door to a successful future. Read our Careers in Maths page to get you started in transforming the abstract and complicated subject into a life-changing career. We hope that this issue will be helpful in opening your eyes to the presence of Mathematics in everyday life, as well as encourage you to pursue a career in Maths. Initiatives like the Maps and Mirrors campaign aim to support learner sin their high school subject choices – look out for opportunities like these to ensure that your destiny is fulfilled without any degree changes and unproductive gap years.
Shani Rhoda
Deputy Editor 6
team Science Stars
Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
Graphic Designer • Cinzia-Joey Swartz Project Manager • Renata Williams Contributing Writers • Unathi Kondile • Oswald Kucherera • Prof. Mike Bruton • Donovan Goliath Chairman • Madambi Rambuda Public Relations • Bongeka Mnotoza
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FROM CLASSROOM TO BOARDROOM A DECADE OF EMPOWERMENT From building schools to supporting black entrepreneurs, from making university study possible for disadvantaged students to providing work experience for young work seekers, Shanduka Foundation strives to develop South Africa’s human potential. Over the last decade, Shanduka Foundation has created opportunities for educational development, career growth and entrepreneurial advancement. •
Adopt-a-School Foundation mobilises companies and individuals to adopt disadvantaged schools with the aim of improving the academic, infrastructural, social and security environment in schools.
•
Shanduka Black Umbrellas nurtures qualifying 100% black-owned businesses by providing meaningful access to markets, networks and finance through its small enterprise incubators and online enterprise and supplier development portal.
•
The Cyril Ramaphosa Education Trust provides bursaries to disadvantaged students and organises vacation work in companies in the Shanduka Group.
•
The Shanduka internship programme provides experiential training for selected learners and job seekers within Shanduka Group and across its partner network.
Thanks to the ongoing support of many partners in business, government and civil society, Shanduka Foundation is making a significant impact in the lives of young South Africans. To find out more about the work of the foundation and its programmes, visit
www.shanduka.co.za/shanduka-foundation
HISTORY
MATHS IS NOT HISTORY Mathematics is everything Written by : Oswald Kucherera
I
f you ask me where mathematics origi-
on to establish the Pythagorean School.
nated, I would proudly answer “Africa”.
Pythagoras contributed to the mathemati-
But first, let me prove this bold claim.
cal theory of music and he used music to help heal the souls of the sick.
Africa is home to some of the greatest mathematicians in history, those of
Let me whisk you away to the great
whom the Zimbabwean writer Dambudzo
Zimbabwean countryside, just outside
Marechera spoke when he said ‘a rat that
Masvingo town, where The Great Zimbabwe
every cat secretly admires’.
monument lies. Built by the Karanga/Shona people, The Great Zimbabwe was erected
The Pyramids of the Pharaohs sing math-
with stones alone, but for centuries has
ematics from their very base foundations
withstood strong winds and heavy rains.
to their tip, and it was the Greek math-
It is one of the great features which show
ematician Thales who was later to use
how magnificently the hands of great
geometry to measure the height of the
mathematicians contributed enormously in
pyramids. Egyptian mathematicians made
laying down the foundation of civilisation
massive contributions towards the early
in Africa.
development of mathematics as the art
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was essential in the efficiency of their
The evidence of the ancient mathemat-
governance. And with the introduction
ics development in Africa includes the
of census and tax payment, mathematics
Lebombo bone, a small piece of fibula of
became a major tool for good governance.
a baboon marked with 29 clearly defined
It enabled the administrators to record the
marks found by the archaeologists in the
value and quantity of things, hence pro-
Lebombo Mountains lying between South
moting accountability.
Africa and Swaziland.
It was during this time that the Greek
The Ishango bone marked with varying
mathematician Pythagoras, best known
tally sequences, discovered in modern day
for his famous Pythagoras Theorem, vis-
Democratic Republic of Congo, formerly
ited the land of the Pharaohs where he
Zaire, is also added to the mountain of
received profound education on mathe-
evidence of the early development of math-
matics, geometry and astronomy proffered
ematics in Africa. Its varying tally sequences
by the Egyptian priests. Armed with knowl-
made it difficult for archaeologists to fully
edge, the knowledgeable Pythagoras went
comprehend how it functioned.
Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
FEATURE HISTORY
Looking into my journey in life will help us In Africa, various organisations and to learn a few things about development
institutions have been set up across the
of mathematics in the more recent years
continent in an attempt to develop math-
in Africa. I recall my early years of infancy
ematics, with dedicated individuals work-
when we used to meet at a certain central
ing industriously in order to realise those
place to play games such as Mulabalaba.
goals. Such individuals are being, and have
These games demanded good calculat-
been honoured, as we saw in 2003 where
ing and estimating skills. There were not
young promising mathematicians were
merely intended for aimless entertain-
acknowledged.
ment but to provide mental exercise and
These awards are organised by African
sharpen our young malleable minds in the
Mathematics Union (AMU) and the
art of mastering numbers.
International Conference of Mathematical Sciences (ICMS). Individuals from field
It was also interesting how various events
varying from Mathematical Physics,
were used to define time. Though most of
Applied Mathematics and Statistics
these events are currently relegated to the
were honoured with medals. In crafting
most remote areas, they used to be instru-
their most important document titled
ments of measuring time in the daily lives
“Mathematics in Africa” requested by the
of Africans. Some of these instruments are
John Templeton Foundation, AMC invited
thing and everything is mathematics”.
still widely known even in the metropoli-
experts with experience in primary, sec-
The universe itself is governed by mathe-
tan centres whereas some have shrivelled.
ondary and tertiary mathematics to weave
matics.For instance, the earth speed is fixed
together this document which maps the
at 300 000 km/sto maintains its gravity and
They were over-taken by events in the
path forward in the development of math- position inspace.
evolution and development of mathemat-
ematics.
ics. And these are the sun, the moon, the
Have you ever wondered what would hap-
shadow, the crow of the cockerels to men-
Last but not least, maths remains the one
pen if its speed increased or decreased?
tion a few. For instance, you see your full
and only language that can be spoken by
Without maths how will you explain and
shadow in the morning, it shortens during
all humans. The pastors sing it when vers- measure love, anger, music, heat or cold.
the day and lengthens again in the eve-
ing and chaptering their biblical presenta- Without maths there will be no 24 hour
nings. But the interpretation of the mean-
tions. The doctors use it to give medical
ing of these varied from place to place
dosages to the sick patients and the hunt- hour Sunday to delay the tedious unpopular
mainly because of what a South African
er uses maths to share the game. In the
writer Sello Duiker termed “a fruit salad of
words of Albert Einstein, the great German to herald that mathematics was, is and
cultures and languages”.
American scientist: “Mathematics is every-
day and you may as well wish for a 100 Monday. It is the very mission of this article shall always be.
Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
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3527
“
At my math and science. And it paid off. SANRAL’s scholarship programme is helping me to pay for my schooling to pave the way for my success.
”
Seokedzi Mothokwa is just one of the 179 learners that SANRAL’s scholarships from 2012-2013 is helping to realize his dreams of doing well and going on to study at university. It’s an investment for us, for him and for our country. Who knows what he may become – but we know that better education means more opportunities, and that means a better nation for us all.
www.sanral.co.za | 0800 SANRAL (726 725)
DR RAMBANE FEATURE
MATHS IS A LANGAUGE Reach for the stars
By : Francis Hweshe
classmates, he was promoted from standard three to standard five. And later on in his life, he would finish his PhD in Mathematics in record time. Now 50-year-old Dr. Rambane says, “Once I focused on Maths, I realised that this is what I wanted to do”. He was not good at number crunching; he was a rabble-rouser across all the subjects. In fact, he dominated his classes for the most part of his primary and secondary
Dr. Thanyani Daniel Rambane
school days. He was only beaten to the first
W
spot once, when he was in form three.
hen Dr. Thanyani Daniel
imagine the golden generation of hard
Rambane was only two years
working black students born in the 1960s
Dr. Rambane had turbulent days in primary
old, polio attacked him. Before
who punched above their weight in the
school, which forced him to initially enroll
he could reach the age of eight, he was
middle of the political unrest, immersed
in Soweto where he was born, but due to
attacked again. But his disability was not
themselves in the black consciousness
polio, which attacked him twice by the time
an inability. This was not an excuse for not
movement of the 1970 but yet took plea-
he was seven years old, his father decided
reaching for the stars.
sure in learning. They did not allow the
to send him to Venda where he would con-
circumstances of the day to be a barrier
tinue with his studies there.
Meeting him at his office in Pretoria, it
for their dreams or their future.
was like meeting a regular gentleman.
Due to his preserved disability, a decision
Probably that is an understatement; he is
During his schooling days, and before
was made that he attend a special school,
a humble, thoughtful yet cheerful A-list
he could be called Dr. Rambane, he out-
but being “a regular guy with regular
mathematics genius.
matched with his classmates. To save his
friends”, he ran away from that school in
When one hears him speak, one starts to
time and less envy and anxiety among his
order to go to hang out with his friends at
Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
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DR RAMBANE
a regular school.
addition, he was a chess captain and mas-
At that time, due to the Soweto Uprisings,
ter debater. He is still a big fan of table
he had transferred to Venda without fin-
tennis, something he cultivated growing
ishing standard three. Upon enrolling in
up.
Venda, they made him repeat standard three, but due to his genius, in a single
After Matric, he enrolled at the Medical
year of hard work, he was promoted to
University of Southern Africa (Medunsa),
standard five.
but dropped out after a year because medicine was not his calling.
Dr. Rambane says his high school days were a breeze as he snatched top marks
In pursuit of his dream, he then enrolled
in all subjects. In fact, when he wrote
at the University of Venda for a BSc in
Matric, he obtained a flawess mark of one
Maths, Biology, Physics and Chemistry.
hundred percent in Maths. But that year,
In his second year, he decided to discard
the paper leaked and they were forced to
biology and in the third year dropped
rewrite it. This time around, despite know-
chemistry in line with what he wanted to
failed the subject.
ing all the answers, “I deliberately left
achieve.
But the failure inspired him to rewrite the
the last question worth about five marks
subject and he passed, graduating with his
unanswered,” to avoid getting hundred
In his third year, he discovered that phys-
Bsc degree and further went on to do an
percent.
ics was becoming harder, such that in
Honours Degree in the subject.
order to pass it, he focused more on the
Despite the racism of the time, he enrolled
Dr. Rambane was not just an academic
subject and less on Maths which was his
at the University of Potchefstroom which
genius; he loved sport, hence he was
favourite subject.
was “in transition” to study for his PhD in
referred to as the “minister of sports”. His
Maths.
job was organizing sporting activities with
In his final year, Maths became even
other schools from across the country. In
harder and for the first time in his life, he
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Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
But Maths was taught in Afrikaans.
DR RAMBANE FEATURE
Unmoved at an Afrikaans university he
ing and development officer at Statistics
He also believes that the current crop of
insisted on getting the notes in Afrikaans”.
South Africa. He has been with the organ-
teachers teaching Maths were not the
In the library he found a book, which could isation for the last four years. His duties
brightest in the subject and do not find
translate Afrikaans to English. He then
involve travelling across the country train-
teaching a respectable profession.
used it to translate all the Afrikaans Maths
ing the entity’s staffers.
“When I teach Maths now, I tell people that
formulas into English.
Maths is a language that tries to explain Previously, he was a lecturer at Tshwane
physical phenomena,” he highlights.
In the end, his translations were then bor-
University of Technology (TUT) in the
rowed by his Afrikaans lecturer as a blue
Maths Department for three years. Before
Dr Rambane dons his trademark silver
print to teach English speaking students.
then, he worked for 14 years in a similar
dreadlocks and loves reggae music. He even
department at the University of Venda.
believes that in the composition of this
In his third year, his lecturer even asked
music, Maths is applied.
him to teach applied Maths to Afrikaans
His advice to students is that they should
Honours students. “I taught them in
not allow themselves to be told by teach-
For him, Maths is applied in our every day
English,” he says.
ers that Maths is a difficult subject.
living. Instead of fearing the subject, he
When his lecturer went for a sabbatical
He believes that even if one aims to be a
tude and embrace the subject due to the
in the United States, he continued study-
musician in life, it is better to “sing with
opportunities that are available.
ing instead of taking a break like other
Maths in your head” than to regret or miss
students.
opportunities later in life due to a failure
believes students should change their atti-
in the subject. True to form, he was the first student to finish his PhD Degree in Maths in about
“Nobody should dictate to young people
three and half years, setting a record at
that Maths is difficult. Don’t listen to
the university.
teachers who say Maths is difficult,” he
Currently Dr Rambane is the chief train-
adds.
His philosophy is: “A fact will remain a fact even if it is ignored”.
Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
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CAREERS IN MATHS
CALCULATING A CAREER IN MATHS The love of numbers
I
s your love of numbers, equations and
Written by : Shani Rhoda
the way money is accumulated, managed
understanding of the financial language.
solving problems steering you towards a and spent, a career in finance relies on career in Maths but you’re not sure how
to apply your passion to an everyday job? Maths, even in abstract forms, is present
a strong mathematical foundation. Add
With the recent advancements in the field
the love of numbers to the principles of
of Nanotechnology, you might want to con-
accounting and you might have a future as
sider a career as a nanotechnology engi-
a chartered accountant.
neering technician.
in all industries – including the obvious finance and engineering industry, the med- Maths often exists as an interdisciplinary
The above-mentioned careers are
ical field and in the ever-advancing cyber
field of study. When you add biology to
world of technology.
maths and divide your passion between
merely a fraction of the sum of all
What steps should you take when you cal-
the natural world and the abstract world
the possibilities that exist in the
of numbers, you get the sum of biomath-
equation of life. The best way to
culate the profits and losses of the various ematics.
choose your career paths in Maths
career paths in Maths? Science Stars has
This career will require you to model
compiled a brief guide to entering the
natural and biological processed using the
is to decide where your pas-
world of Maths to ignite your numerical
problem-solving skills that mathematical
sion lies – whether it’s Finance,
genius.
techniques possess.
Engineering, Technology or
Maths is all about the step-by-step appli-
Futuristic thinkers might find a career
cation of problem solving skills, and
as a robotics engineer interesting. This
we suggest you take this mathematical
career combines Maths, Engineering and
approach to summing up your options.
Computer Science to design and produce
The most obvious career in Maths would
robots. If the thought of creating metallic-
be, well, a Mathematician. The job speci-
skinned humans does not appeal to you,
fications? Solve problems using numbers,
you might want to explore more options.
Biology – Maths is sure to solve your career problems.
data, structure, space, quantity and models. Sound a bit daunting? Keep reading for
Next up, we have more options in the
more options.
world of Engineering. Agricultural, Architectural, Automotive, Biochemical,
The other inevitable link to mathemat-
Chemical, Electrical and Energy
ics is the field of finance. Involved with
Engineering all rely heavily on a good Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
15
DST
SOUTH AFRICA SEEKS DEVELOPMENT THROUGH SOCIAL CHANGE The forefront of innovation platform for scientists and engineers from
intensive activities.
all over the world to gather and reflect on the current status of, and developments in
“Over the past twenty years we have built a
advanced materials, with a focus on prac-
system that connects local government, big
tical applications.
business, start-up entrepreneurs, venture capital, research organisations, higher edu-
“South Africa is now at the forefront of
cation institutions, further education and
innovative programmes to provide decent
training colleges, and Sector Education and
service delivery to impoverished communi-
Training Authorities (SETAs).”
ties,” said Pandor, citing a sanitation proj-
Human capital development was also high
ect underway in Cofimvaba in the Eastern
on the government’s economic growth
Cape that has attracted international
agenda, as more and more students, espe-
interest from respected partners such as
cially black females, are encouraged to
the Bill & Melinda Gates Foundation. The
choose science, engineering and research
project aims to solve sanitation problems
careers.
T
in this rural area by using alternative tech-
Another project, the wireless mesh net-
drive innovation;
can help solve some of the most critical
work, brings Internet connectivity to rural
• Global scientists and engineers gathered
social problems facing the world today.
areas in Limpopo, Mpumalanga and the
at the International Symposium;
Northern Cape, narrowing the digital
• Programmes aimed at improving service
Speaking at 7th International Symposium
divide and enabling micro-enterprise
delivery;
on Macro- and Supramolecular
development in poverty-stricken areas.
• International interest is drawn to South
Architectures and Materials Gala Dinner in
Pandor added that government had
Africa’ s impoverished communities;
Johannesburg, the minister said the South
worked hard over the past 20 years to
• Improved sanitation and narrowing digital
African government had taken the lead in
connect knowledge generation to econom-
divide can aid innovation;
creating an innovation system to benefit
ic development. One of the government’s
• Research and entrepreneurial start-ups
its people.
main post-1994 goals has been to shift
are supported;
South Africa’s over-reliance on a resources
• Efforts made to draw females to the stud-
economy to value-adding and knowledge-
ies of science, engineering and research.
he Minister of Science and
nologies.
Technology, Naledi Pandor, says investing massively in innovation
The International Symposium acts as a
16
Highlights: • Social problems need to be addressed to
Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
MAPS AND MIRRORS
MAPS AND MIRRORS A Journey for Learners in Grades 7-9
M
aths Centre, a non-profit organ-
As part of this project, the Maths Centre
isation funded by external
Maths. We wish to demystify this notion by
has staged the Maps and Mirrors Advocacy donors, hosted the first ‘Maps and Campaign. This campaign aims to create Mirrors’ advocacy campaign for the Shell awareness for learners – starting as early
exposing them to fun Maths and Science
Rally to Numeracy Project in the Karoo on
as grade 7 - to understand how industry,
Maps and Mirrors
Thursday, 4 September 2014.
business and schools are linked with the
The Aim
activities on the day.
goal of shaping their futures. This primary school intervention project
The aim of the Maps and Mirrors Advocacy
benefited 7 schools and was made possi-
Learners are encouraged to take a look
Campaign is to prepare senior phase learn-
ble by generous funding from Shell South
in the “mirror”–paying attention to their
ers for FET by assisting grade 9 learners
Africa. The project was officially launched
strengths, abilities and interests - and
with making the correct subject choices.
in February this year. Teacher development then use these as a basis to create a “map” and learner progression are two pillars of for their lives. Maps and Mirrors is, in a
The campaign will also introduce learners
the Maths Centre intervention model.
sense, a replacement for the traditional
study institutions as well as opportunities
career counselling and information days
in the world of work.
to the programmes that exist at tertiary
by providing a more holistic programme
Other key objectives of the project are:
for learners to engage with their future
• To ensure the Maths curriculum is cov-
Furthermore, this campaign also aims to
ered in each grade,
assist grade 9 learners in making the right
careers.
• Identifying teacher gaps and improving
subject choices for grade 10. May mistak-
teachers’ conceptual as well as content
enly select Maths Literacy as they perceive
knowledge in Maths.
pure Maths to be difficult, not realising the great long-term benefits of pure
Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
17
MAPS AND MIRRORS
The Concept Maps The aim is to help learners map out their journey towards achieving a good Matric pass by: - Providing career guidance - Goal setting and planning - Encouraging time management - Advice on drawing up a study plan - Study tips for successful results - Exposing learners to fun Maths
Science activities Mirrors The focus is on developing leadership skills as well as achieving personal development: - Knowing ‘Who am I� - How to do self-assessment - Motivational inserts like videos, etc. - Health and wellbeing - My personal development plan The event was well attended by both teachers and learners from various schools as well as local stakeholders.
18
Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
INSTITUTIONS
INSTITUTIONS Mathematics
UNIVERSITY OF SOUTH AFRICA (UNISA) Applied Mathematics and Statistical Science Admission Requirements: 360 Credits. National Senior Certificate (Degree endorsement) with at least 50% in the language of teaching and learning Mathematics with at least 50% Students will be streamed into the Extended Programme depending on their Academic Point Scores (APS).
Bsc Mathematical and Statistical Science Admission Requirements:
Admission Requirements: Language of Teaching and Learning 4 (50-59%)
Physical Science or Life Science
4 (50-59%)
Bsc Applied Mathematics and Mathematical Statistics Admission Requirements:
5 (60-69%)
Physical Science or Life Science
Mathematics 5 (60-69%)
UNIVERSITY OF CAPE TOWN (UCT)
4 (50-59%)
Another Language 3 (40-49%) Mathematics
Bsc Applied Mathematics and Mathematical Statistics
Other Languages 4(50-59%)
UNIVERSITY OF THE WESTERN CAPE (UWC)
Eng HL/AL
UNIVERSITY OF JOHANNESBURG (UJ)
4 (50-59%)
NSC, FPS of 420 Mathematics 70% & Physical Science 60% NBT in Mathematics, AL & QL to be written
Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
19
AIMS
IMAGINARY EXHIBITION AND WORKSHOP
T
he first ever IMAGINARY Exhibition and Workshop held in Africa, was hosted at AIMS South Africa in
Muizenberg from 5-7 November 2014. The event was organised by the African Institute for Mathematical Sciences - Next Einstein Initiative (AIMS-NEI), IMAGINARY and the Mathematisches Forschungsinstitut Oberwolfach in Germany. The African Institute for Mathematical Sciences (AIMS) is a pan-African network of centres of excellence for postgraduate education, research and outreach in math-
Matt, a representative from IMAGINARY
ematical sciences. Its mission is to enable
said, “we are very excited to be hosting
Africa’s brightest students to flourish as
“Experiencing Mathematics”.
this exhibition in Africa for the first time. independent thinkers, problem solvers and It is also the first time that the exhibition innovators capable of propelling Africa’s is being combined with a workshop to
A Science Slam event titled “From the Big
future scientific, educational and economic share ideas and plan future scientific and self-sufficiency. educational public engagement/outreach
Philip Southey from UCT, Justine Nasejje
IMAGINARY is an interactive travelling
activities with peers in Africa on maths
Stellenbosch University. All three talks were
exhibition curated by the Mathematisches
communication.”
very interesting and Philip was announced
Forschungsinstitut Oberwolfach. It pres-
The Director of AIMS South Africa, Prof
as the winner.
ents visualisations, interactive installa-
Barry Green, welcomed everyone to the
tions, virtual realities, 3D objects and
opening and said, “we are very proud to
The goal of the IMAGINARY workshop
their theoretical background in algebraic
be hosting this exhibition in our cen-
was to showcase interactive mathematics
geometry and singularity theory, in an
tre. Our students, local school children,
learning tools, to work on dedicated activi-
attractive and understandable manner.
students from local universities and the
ties for Africa, and to jointly plan future
Demonstrations for all audiences provide
public are able to experience the unique-
activities. Participants in the IMAGINARY
insights into the theoretical background.
ness of this exhibition.” The exhibition
workshop shared experiences and chal-
Bang to the Brain” took place on Friday 7 November at 2pm. The participants were from UKZN and Savannah Nuwagaba from
featured extraordinary images and 3D
lenges in presenting and applying math-
Learners from Muizenberg High,Windsor
prints, and visitors had the opportunity
ematics internationally with a focus on the
High School, Fish Hoek High, Rustenburg
to talk to mathematicians, watch fasci-
African continent. Participants were able to
Girls, Cape Academy and COSAT attended
nating movies, be creative at interactive
network with AIMS, IMAGINARY/MFO rep-
the event. Students from UCT, UWC, SU
computer stations and create their own
resentatives, and other partners in the field
and CPUT also visited the exhibition.
mathematical artwork! The exhibition also
of mathematics and sciences; and together
included a series of hands-on exhibits
they planned outreach activities in various
from the UNESCO mathematics exhibition
African countries.
At the opening of the event, Dr Andreas
Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
21
AIMS
22
Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
TIME TABLE
TIME TABLE 12 x 12 time table, fill in the missing numbers.
Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
23
There are boundless opportunities when you consider a career in space.
REMOTE SEN SIN
Y ENGINEER C EN
SPACE WEA TH
RADIO FREQ U
NS TECH TIO NI A C ER
N IA
SATELLITE O P
However you look at it, there is SPACE for you!
G
CHER SEAR E R
ORECASTER F ER
WeWe useuse communication communication satellites satellites every every dayday when when we we watch watch Digital Digital Satellite Satellite television television (DStv), (DStv), access access thethe internet internet or use or use ourour cellcell phones. phones.
Navigation Navigation apps apps useuse GPS GPS satellites satellites to accurately to accurately steer steer youyou to to your your requested requested destination. destination.
Spacecraft Spacecraft areare launched launched intointo space space on rockets on rockets andand need need to be to be monitored monitored along along thethe way. way. SANSA SANSA provides provides launch launch support support andand recently recently assisted assisted twotwo Mars Mars launches launches – NASA’s – NASA’s Mars Mars Science Science Laboratory Laboratory andand India’s India’s Mars Mars Orbiter Orbiter Mission. Mission.
Weather Weather in space in space cancan damage damage satellites satellites andand interfere interfere withwith ourour technology technology likelike GPS, GPS, cellcell phones phones andand internet. internet. SANSA SANSA keeps keeps a a close close eyeeye on on space space weather weather to protect to protect ourour technology technology in in space space andand on on Earth. Earth.
Images Images from from satellites satellites areare used used to develop to develop maps maps andand monitor monitor natural natural disasters disasters likelike floods floods andand droughts. droughts.
South South African African National National Space Space Agency Agency
Tel +27 Tel +27 12 844 12 0398 844 0398 | Fax| +27 Fax 12 +27844 12 0396 844 0396 Email Email information@sansa.org.za information@sansa.org.za | Website | Website www.sansa.org.za www.sansa.org.za
Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
25
DST
SCIENCE AND TECHNOLOGY DEMYSTIFIED AT DST IMBIZO A career in science
S
aturday, 15 November 2014, was an
science involves. Acknowledging South
The event was attended by the Department
important day in the lives of the
Africa’s importance on the global develop-
of Home Affairs which processed applica-
Ulundi community in the Zululand
ment of science and technology, Minister
tions for identity documents and social
District Municipality. The community
Pandor highlighted the collaboration
grants. The Departments of Basic Education,
members and learners of KwaZulu-Natal
between South Africa and Australia in the
Higher Education and Training, as well as
town had the opportunity to attend the
Square Kilometre Array project.
Social Development were also present at
interactive Department of Science and
the imbizo. This joint effort was taken as a
Technology (DST) imbizo held at the Old
Some of the entities that attended the
step to promote studies in the faculties of
Legislature Building.
exhibition and showcased their work
science and technology, furthermore mak-
include the National Zoological Gardens,
ing this a possibility to the learners of the
The exhibition was led by Naledi Pandor,
the Hartebeesthoek Radio Astronomy
Ulundi community.
Minister of Science and Technology, and
Observatory and the UniZulu Science
Deputy Minister, Zaneleka Magwaza-Msibi.
Centre.
Aiming to create a channel through which the government can communicate and
Deputy Minister, Zaneleka Magwaza-Msibi,
interact with the public, the imbizo and
linked the country’s potential economic
exhibition provided the youth with the
development to the improvement of agri-
essential information for a career in sci-
culture. Long-term sustainability of natural
ence.
resources needs to be practiced while developing the agriculture sector and con-
Along with the factual aspects, the exhibi-
nections need to be made between local
tion also provided learners with practi-
communities, government and corporate
cal demonstrations of what a career in
entities to ensure equal opportunities.
26
Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
DST FEATURE
MINISTER UNVEILS R17M NANOTECH EQUIPMENT Increase, develop and enhance
S
outh Africa’s Minister of Science
The availability of the TOF-SIMS will
Along with the programme came the
and Technology, Naledi Pandor, had
reduce South Africa’s dependence on other
establishment of modern research facili-
recently introduced modern nano-
countries for research, at the same time
ties in the field, as well as the Centre for
technology research equipment to the
improving the research and training in the
High Resolution Transmission Electron
country. The equipment, worth R17 mil-
country.
Microscopy based at Nelson Mandela
lion, was unveiled at Rhodes University
As South Africa’s research skills improve,
Metropolitan University in Port Elizabeth.
in Grahamstown and is to be used by the
the skills shortages will be addressed and
various departments of the university.
this will lead to an increase in competency
Nanotechnology research facilities are not
in the field of research.
the sole success of the field. In addition to the research chairs and formal teaching
Although the equipment is stationed at Rhodes University, it is used by vari-
The 2005 National Nanotechnology
programme, there have been 1 100 articles
ous other universities in the country,
Strategy had met and the technol-
published in peer-reviewed journals, 170
The Council for Scientific and Industrial
ogy goals set out in the 2002 National
postgraduate students, 20 patents have
Research, Mintek, as well as other coun-
Research and Development Strategy, and
been filed and the near future hopes to
tries including Kuwait, Turkey and China.
had also succeeded in strengthening the
hold the introduction of South African nan-
Researchers in the fields of pollution
South African governments focus on the
otechnology-enhanced to the market.
treatment, green chemistry, forensic sci-
industrial sector. With the increasing amount of resources
ences, biotechnology, energy and sustainable development find the Time-of-Flight
South Africa is quickly becoming one of
put into the development of nanotechnol-
Secondary Ion Mass Spectrometer (TOF-
the leaders of nanotechnology research
ogy, this form of engineering at the molecu-
SIMS) useful in their development strate-
worldwide thanks to the National
lar scale is soon to be a massive sector of
gies.
Nanotechnology Equipment Programme.
research and production.
Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
27
SCIENCESTARS “Shaping Our Youth”
“Share Your Thoughts” /sciencestars.faceb.co.za
@ScienceStars2
www.sciencestars.co.za
info@sciencestars.co.za
DST FEATURE
DST LAUNCHES HYDROGEN FUEL Cell power generator
T
he Department of Science and
Innovation Strategy (HySA).
Technology (DST) has joined forces with a South African technology
The generator will make use of both hydrogen and fuel cells to produce electricity,
The project aims to use local resources to
and the hydrogen will store this energy and
company, Hot Platinum, to create a 2,5kW
further knowledge on the topic, and to aid
converts it to its useable form.
fuel-cell power generator in Cape Town.
the development of sustainable activities in hydrogen and fuel-cell technologies.
The unit will be launched at the Cape
South Africa is synonymous to innovation in terms of the global advancement of science
Flats Nature Reserve, situated on the
The hydrogen fuel-cell power generator
and technology. The increased emphasis on
University of Western Cape (UWC) campus
serves two main purposes: it will reduce
these fields, and the improvement of the
in Bellville. The initiative forms part of
the country’s dependence on imported
necessary skills, might lead to the econom-
DST’s National Hydrogen and Fuel Cell
oil, and it will reduce the greenhouse gas
ically-beneficial role of hydrogen and fuel-
Technologies Research, Development and
emissions which cause global warming.
cell technologies in the country.
Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
29
DST
GALLERY
30
Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
PROF MIKE BRUTON FEATURE
SOUTH AFRICAN INVENTOR WITH TUNNEL VISION The Greathead Shield
Written By : Prof Mike Bruton
running beneath the Thames River between 1825 and 1843. This project, which ended in disaster and lead to the loss of 10 lives, had been extremely costly and progressed slowly. In 1867, Peter Barlow proposed, as a relief for London’s increasingly congested road traffic, that a system of underground railways in ‘tubes’ should be constructed using shields and lined with cast iron segments. However, no contractor could be found to undertake the work, mainly due to memories of the tragic loss of life in Brunel’s tunnel. Greathead, then only 24 years old,
J
courageously tendered for the construction
ames Henry Greathead, one of South
His most famous inventions were the
of the shafts and tunnel using his newly
Africa’s greatest early engineers, was
‘Greathead Shield for Underground
devised cylindrical wrought iron tunnelling
born in Grahamstown in 1844. Born
Tunneling’ (1869) and the ‘Greathead
shield. He won the contract and construc-
as the grandson of an 1820 Settler, he
Grouting Machine’ (1891), which were
tion on the Tower Subway began in 1869. It
was educated at St Andrew’s College in
extensively used for the development of
was opened in 1870 - the first underground
Grahamstown, Diocesan College (Bishop’s)
the underground railway system in central
tube railway in the world.
in Cape Town and Westbourne College
London, Liverpool and elsewhere in the
School in London.
United Kingdom. He essentially invented
Greathead’s shield was effectively a sleeve
the equipment that was used to burrow
as large as the tunnel, which, as the exca-
Greathead relocated to England in 1859 at the tunnels for the London Underground.
vation proceeded, was forced ahead to act
the age of 15 years where he was appren-
both as a ring shaped cutter and a protec-
ticed to the famous British Engineer, Peter
The Greathead Shield was an innovative
tion for the workmen. It moved forward
Barlow, and became extensively involved
adaptation of a tunneling shield invented
in one piece, unlike Brunel’s large and
in the development of the new traction
by the legendary French-born British
unwieldy rectangular shield, which had to
and eventually electric underground rail-
engineer, Marc Brunel. This invention was
be dismantled every time it was moved and
way network in London.
used in the construction of the first tunnel
weighed over 120 tons..
Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
31
PROF MIKE BRUTON
The Greathead Shield was inched forward
tion by Greathead. He patented many of
as the working face of the tunnel was
his improvements to tunnel engineering,
excavated, while behind it a permanent
including the use of compressed air and
Greathead’s tunnelling shield solved both
tunnel lining of cast iron rings was fit-
forward propulsion by hydraulic jacks, both
the problem of expensive, slow and danger-
ted into place, also an important innova-
of which are now standard features of tun-
ous tunnelling under rivers and the prob-
nel construction worldwide.
lem of disruptive construction by cut and cover methods of underground railways in cities. Later, Greathead was the resident engineer on the City & South London Railway (now part of the Northern Line), the world’s first underground electric railway which was established in 1890. As a result of the electrical expertise he developed on this railway, he was then appointed as the Joint Engineer on the Liverpool Overhead Railway, the first overhead electric railway in the world. Greathead worked with many famous British engineers, including Sir Douglas Fox, W.R. Galbraith, Sir John Fowler and Sir Benjamin Baker, all of whom respected and admired his innovative work. At the time, he was known as “the practical author of the great London Tube Railway”. Greathead died of cancer in London in 1896 at the age of 52 years, and is commemorated by a 3-metre tall bronze statue by James Butler, unveiled by the Lord Mayor of London next to the Royal Exchange in 1994. The recent refurbishment of Bank Stationled to the discovery of a section of the original Greathead Shield, found adjacent to the Waterloo & City Railway. This section has been refurbished, and a brass plate was erected as a further memorial to the extraordinary achievements of this great South African inventor. 32
Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
MATHS FACTS
11
“Maths anxiety” is a phenomenon that makes people perform badly at maths simply because they tend to avoid the subject due to the negative stigma attached to Maths
10 9
1
If you write out pi to two decimal places, when you flip it backwards it spells “pie”
2
The signs + and – were used as early as 1489 A.D.
The = sign was invented by Welsh Mathematician, Robert Recorde
In a room of just 23 people there’s a 50% chance that two people have the same birthday
MATHS FACTS
3
Zero is the only number that can’t be represented in Roman numerals
8
The easiest way to remember the value of Pi is to count the number of letters in each word in “May I have a large container of coffee’
7
Four is the only number in the English language with the same number of letters as the number itself
6
A clock never showing right time might be preferable to the one showing right time twice a day
4
555 is used by some in Thailand as slang for “hahaha”, because the word for “five” is pronounced “ha”
5
Among all shapes with the same perimeter a circle has the largest area
Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
33
SUDOKU Â 12/11/14 Â
PUZZLE
SUDOKU
Each horizontal, vertical and 3 x 3 square should contain all the numbers from 1 to 9 , with no repeats.
2 4
9 7
1
CROSSWORD PUZZLE
DOWN
1. What is used to measure angles?
2
2. What is the name of the manual calculating device which consists of beads?
1
3. If the real part of a complex number is zero, then what would you say about the complex number? 4. Expressing the equality of two ratios is called?
2
5. Which traingle are all three sides and all three angles congreuent? 6. What is the name of the longest side of a right angle triangle? 3
4
3
6 5
ACROSS 1. What is this symbol called (%) ? 2. What do you call lines that intersect a
4
single point? 7
3. What is the term given to the perimeter around a circle? 4. What is the bigger number, a googal or a billion? 5. If the absolute value of a numerator
6
is less than the absolute value of the denominator, then the fraction is? 6. Is it possible to draw a triangle with two obtuse angles? 7. How many straight lines can pass through a point?
5
34
Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
ASTRO QUIZ ANSWERS
ASTRO QUIZ
?
Round 3 answers
1 The reason why we have day and night on Earth is due to the
7 What is the popular name for the robot geologist that NASA use
__________
for exploration on Mars?
2. Rotation of the Earth
4. Rovers
2 Who was the first astronaut to perform a spacewalk in March 1965?
8 Which of the following will you NOT find in our Solar System? 2. White Dwarf 9 Which of the following statements is true about a comet’s tail?
2. Alan Shepard 3 Yuri Gagarin, the first man in space orbited the Earth once in 1961. Two years later, the first woman in space orbited our planet …
3. Always trails behind the comet 10 Why the Moon is not considered a planet? It is because 3. It orbits the Earth 11 If your age on Earth is 14 years, how old will you be on planet
3. 48 times 4 A combination of the following factors causes the Moon to
Venus?
appear the same size in the sky as the Sun.
3. More than 14 Venusian years 12 How was Pluto discovered?
1. Its size and distance from the Earth 5 An astronomical event that occurs twice each year as the Sun reaches its highest or lowest excursion relative to the celestial equator on the celestial sphere is called a/an________ 6 If your weight on Earth is 50 kg, what would your approximate weight be on the Sun and on the Moon?
ASTRO QUIZ
on two successive nights in 1930, seeing shifts in a point of light
TIE BREAKERS
1. Solstice
4. 1353 kg (Sun) and 8 kg (Moon)
3. By Clyde Tombaugh photographing the same region of the sky
?
2. 2 Alan Leonov 3. 2 37 times 4. 1 Its size and distance from the Earth 5. 2 Equinox
Round 4 answers
?
1 Who discovered that each black hole has a characteristic tem-
9 During a total solar eclipse the Moon’s shadow causes a narrow
perature and radiates energy?
path of total darkness across the Earth. What is this path of total shadow called?
2. Stephen Hawking 2 The Square Kilometre Array is a _______ telescope.
1. Umbra 10 What do scientists think will be found in the centre of the
1. Radio 3 Which woman astronomer discovered that variable stars known as Cepheids could be used as distance markers?
2. A supermassive black hole 11 Name the astronomer who discovered pulsars in 1967.
1. Henrietta Swan Leavitt 4 Which planet was accidentally discovered in 1930?
4. Jocelyn Bell- Burnell 12 The spacecraft Dawn is on its way to investigate two Solar
1. Pluto 5 What is the name of the US spacecraft that arrived at Venus and stayed there for a year in 1990?
13 Jupiter has a moon that is larger than planet Mercury. What is
4. Magellan mately how long will it take to go completely around the Earth? 7 What are quasars? 2. Unusual galaxies 8 A combination of the following factors causes the Moon to appear the same size in the sky as the Sun. 1. Its size and distance from the Earth
System objects. Which objects are these ? 2. Ceres and Vesta
6 If the Moon revolves the Earth at a speed of 1,02 km/h, approxi1. 27, 3 days
Milky Way?
it called? 4. Ganymede
TIE BREAKERS 1. 2 Stephen Hawking 2. 2 Refractor 3. 2 Cecilia Payne Gaposchkin 4. 2 Saturn 5. 2 Surveyor
?
Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
35
ANSWERS
ANSWERS
WORD SEARCH
Astronomy in science magazine
SCIENCESTARS ISSUE 06
THE INFINITE JOURNEY TO ASTRONOMY
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Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
T
E
R
DST
LIGHTING UP SOUTH AFRICA The state of energy
I
nadequate coordination, insufficient funding and skills shortages threaten South Africa’s energy future. These are among the findings of a consensus study entitled The State of Energy
Research in South Africa released by the Academy of Science of South Africa. The Academy of Science of South Africa (ASSAf) is mandated to provide evidence-based advice to government on matters of critical national importance. The study has followed the traditional Academy consensus study methodology, in which a panel of experts, guided by the panel chair, undertakes the study on a voluntary basis. The advantage of this multi-perspective approach is that it is free of partisan interest. As a result, the findings and recommendations are the best considered outcomes in the circumstances. This report is the result of the collaborative work of a sixmember ASSAf study panel. The study panel members were: Professor Frederik van Niekerk (Chair), Professor Susan Harrison, Dr Nelson Ijumba, Dr Steve Lennon, Professor Regina Maphanga and Professor Wikus van Niekerk. The study aimed to improve the understanding of the energy research landscape in South Africa in order to support the South African National Energy Development Institute (SANEDI) in fulfilling its functions in terms of energy research support and co-ordination. The study is seen as an important baseline assessment that can inform future energy research investment in the country. According to the study report, investments in coal research and development are inadequate despite the fact that coal will dominate South Africa’s energy supply for the foreseeable future.
Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
37
DST
Clean coal technologies are also not suffi-
mends that a more substantial portion of
pathways, environmental and other risks,
ciently funded, carbon capture and storage
the national R&D vote should be allocat-
risk abatement strategies and beneficiation
research programmes are insufficient and
ed to energy and energy-related research
strategies.
the bulk of coal research and development
in line with national priorities. At least
• Renewable energy: Significant R&D
(R&D) is being performed by only four
1.5% of the fiscal appropriation should be
investment is needed to meet national
entities.
earmarked for R&D support with a higher
targets and the penetration of renewable
proportion of this allocated for energy
energy in South Africa should be increased
than at present.
through appropriate mechanisms. Better
Key recommendations of the study relate to a formal coordination mechanism to
coordination is needed to avoid fragmenta-
guide energy and energy-related R&D
A recurring finding of the study is that
tion of R&D efforts.
investment, increased funding and the pri-
human capital development in energy
• Nuclear energy: The implications of
oritisation of human capital development
and energy-related research is insufficient
delaying the nuclear decision in terms of
in the sector.
despite the prominence given to energy in
the country’s capability to support (any part
policy documents. It is recommended that
of) the nuclear cycle, have to be evaluated
The study proposes that government
human capital development for energy
and compared with alternative energy sup-
departments with an energy budget estab-
areas aligned with the national energy
ply options.
lish a formal coordination mechanism, in
agenda needs to be prioritised through
• Energy efficiency: In spite of energy
accordance with the recommendations
the establishment of more research chairs,
efficiency measures, the commitment to
of the National Development Plan (NDP),
centres of competence and centres of
and adoption of energy efficient measures
with a mandate to steer, plan and coor-
excellence.
should be increased, inter alia by improving
dinate energy and energy-related R&D funded with public money, eliminate gaps and overlaps, taking into account national
awareness and understanding of energy
Other findings and recommendations of the study are:
imperatives and priorities.
efficiency and effective incentives for participation in energy saving. • Energy economy and policy:
• Gas: Significant R&D is needed in shale
Comprehensive techno-economic feasibility
It is also recommended that an Energy
gas, which has the potential to provide a
studies are needed to inform the national
Research and Development Desk be estab-
lower carbon medium-term energy future
energy R&D agenda, as well as the plan-
lished to give effect to a co-ordination
for South Africa. Research is needed on
ning and legislative environment needed
mechanism.
exploitation of the resource, techno-
for effective implementation on a path to
With regard to funding, the study recom-
economic evaluations of exploitation
lower carbon and energy intensity.
Highlights: • Threats to South Africa’s future in energy development; • Inadequate coal research and development; • Need for energy coordination mechanism; • Increased funding for energy and energy-related research is needed; • Need for research on resource exploitation; • Options for alternative energy supply options should be researched; • Improved environmental legislation should be implemented. 38
Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
Celebrating Water for ALL TCTA is a state-owned entity responsible for bulk raw water infrastructure development
TCTA Career Opportunities
The Trans-Caledon Tunnel Authority (TCTA) is proud to contribute towards a system which aims to deliver a sustainable water supply across Southern Africa. Our specialist skills, from sourcing project finance to planning, design and construction, place TCTA in the ideal position to facilitate development of bulk raw water infrastructure. From an initial single project, TCTA now manages the following list of Projects: the Lesotho Highlands Water Project Phase 1; the Berg Water Project (Western Cape); the Vaal River Eastern Subsystem Augmentation Project (Mpumalanga); the Mooi-Mgeni Transfer Scheme Phase 2 (KZN Midlands); the Olifants River Water Resource Development Project Phase 2 (Limpopo); the MokoloCrocodile (West) Water Augmentation Project (Limpopo); the Komati Water Scheme Augmentation Project (Mpumalanga), the Acid Mine Drainage Project (Gauteng) and the Metsi Bophelo Borehole Project (across six provinces).
TCTA’s Project Naledi Bursary and Internship Scheme is a skills development intervention with the objective of ensuring a sustainable supply of trained and skilled individuals to meet its future human resource needs. The project is a response to government’s developmental agenda of creating a pool of skilled employees and to ensure that the country is competitive in the global economy. The project intends to: • Identify deserving and capable youth from disadvantaged communities; • Recruit candidates into engineering, project management, finance and accounting disciplines; • Support the candidates throughout their studies by providing academic tutoring and mentoring; • Provide specific and on-going support to the students that enter into accounting and engineering fields through regular follow-up sessions; and • Develop a model for increasing participation of youth into the scarce skills category. In light of the above, TCTA offers bursaries to candidates who are planning to undertake undergraduate studies at institutions of higher learning in South Africa. We consider applications for the following core fields of study: • Civil/Mechanical Engineering • Environmental Science/Management • Business Science (Finance) • Banking/Economic Science • Sanitation and Water All the above services are in support of government’s development agenda to make a better life for all. TCTA is committed to assisting government to achieve its socioeconomic objectives.
For more information on TCTA visit: www.tcta.co.za or Call +27 12 683 1200
AIMS ADVERTORIAL
AIMING FOR A CAREER IN MATHS Making a difference
M
Financial Mathematics workshop
athematics underpins most
“AIMS gives almost guaranteed opportu-
(2013) and Tanzania (2014). The AIMS
aspects of modern life - infor-
nities and hopes of a successful future
centres are coordinated by the AIMS Next-
mation and communication
to many young scientists across Africa.
Einstein Initiative (AIMS-NEI). More infor-
technology, genetics, medicine, finance,
AIMS allows you to scope a lot of use-
mation is available online at www.nextein-
demographics and planning. The African
ful concepts about your life, your future
stein.org.
Institute for Mathematical Sciences (AIMS)
profession (which is not only academic)
draws bright young Africans into math-
and your social life. Your knowledge will
There are now 749 AIMS alumni (includ-
ematical and scientific careers ranging
be diversified allowing you to choose your
ing 229 women) from 42 African countries
from software or robotic engineering to
area of expertise with confidence. It is
throughout the world contributing to cut-
nuclear physics, marine science, genetics,
very challenging and exciting, and there is
ting edge research, continuing their post-
ecology, astronomy, biomathematics, cryp-
enough support for everyone to succeed,”
AIMS academic studies or launching pro-
tography, research, financial mathematics
says Matthews Sejeso. Sejeso is a 2013
gressive careers using their mathematical
and business.
AIMS graduate from Taung in the North
science training.
West Province who is currently completing In order to join AIMS and make these
a Research Master’s at Wits.
exciting career choices, your first step is
AIMS South Africa is located in Muizenberg. The main building is a self-contained
to get good marks in mathematics in high
Has AIMS been successful?
residential centre with excellent computer,
school and then complete a 4-year univer-
AIMS is a pan-African network of centres
library and lecturing facilities. Lecturers and
sity degree in mathematics, or any science
of excellence for postgraduate education,
students live and dine in the main building,
or engineering subject with a significant
research and outreach in mathematical
allowing for maximum contact time in an
mathematics component. You can then
sciences. Its mission is to enable Africa’s
informal setting.
apply for the AIMS one-year postgradu-
brightest students to flourish as inde-
The Structured Master’s is taught by
ate Structured Master’s in Mathematical
pendent thinkers, problem solvers and
outstanding international and local lec-
Sciences. There are no course fees for
innovators capable of propelling Africa’s
turers and is formally accredited by the
successful applicants and full bursaries
future scientific, educational and economic Universities of Cape Town, Stellenbosch,
covering tuition, accommodation, meals
self-sufficiency.
and travel costsare awarded to successful applicants from African countries.
But why choose to come to AIMS? 40
and the Western Cape. The programme is taught in association with the faculty of the
Since being founded in Cape Town in
Universities of Cambridge, Oxford and Paris
2003, AIMS centres have opened in
Sud XI. There are two intakes a year, in
Senegal (2011), Ghana (2012), Cameroon
January and August.
Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
AIMS ADVERTORIAL FEATURE
skills to teaching and learning mathematics and to raise the standards of mathematics teaching in South Africa. AIMSSEC promotes active enquiry based learning, mathematical thinking, communication and problemsolving skills. To spread the benefits of this work more widely, AIMSSEC runs professional development courses for teachers from disadvantaged rural and township schools and empowers them to train other teachers in their areas. AIMSSEC blended learning courses for primary and secondary teachers,
Workshop MISG study groups
subject advisors and field trainers from all over South Africa combine residential units,
The programme is divided into three phases:
successful visitor’s programme which
home-study, regularly marked assignments,
enables mathematical scientists to work
online learning and TV broadcasts and
1. The skills phase builds a common core
together and interact with local, pan-Afri-
examinations for qualifications awarded by
set of problem-solving skills: estimation,
can and other international researchers.
AIMS South Africa in collaboration with the
computation, approximations, modelling,
Stellenbosch University and the University
data analysis and statistics.
The research conducted has a strong focus
2. The review phase allows students to
on cutting-edge topics which relate to
apply these skills in some of the most
mathematical modelling in a multi-disci-
Since its inception, a total of 1240 teach-
exciting areas of science.
plinary context. In particular those most
ers have taken the AIMSSEC three-month
3. The final phase involves preparation of
relevant to African development, espe-
Mathematical Thinking (MT) course. This
a research project under the supervision
cially in fields where scientists in Africa
course acts as a prerequisite for the two
of an expert researcher. Research initi-
have a competitive advantage and can do
year AIMSSEC Advanced Certificate in
ated in these projects often develops into
world-leading research.
Education (ACE) course which has a focus
further postgraduate research work after
of Fort Hare.
on subject leader training and now has 144
AIMS.
The present focus areas are:
graduates.
For the past six years, AIMS South
• Cosmology and Astrophysics,
AIMSSEC runs world-class courses staffed
Africa has also offered courses towards
• Mathematical and Physical Biosciences,
Stellenbosch University’s (SU) Honours in
• Mathematical Finance,
Mathematics programme with a focus in
• Mathematical Foundations and
Biomathematics. Students spend the first
Scientific Computing.
half of the year at AIMS and the second half at SU.
Advancing education with AIMS As part of its outreach and public engage-
AIMS South Africa also has a Research
ment programme, AIMS South Africa
Centre (launched in 2008) which con-
also has a Schools Enrichment Centre
tributes to research output and capacity
(AIMSSEC). The main objectives of this
building in South Africa and on the conti-
programme are to advance educational
nent through research activities, student
opportunities for previously disadvantaged
training, workshops, conferences and a
and rural communities, to introduce new
AIMSSEC
Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
41
AIMS ADVERTORIAL
by a strong local team together with an
AIMSSEC also organises public lectures,
international team of over 50 academics
local teacher workshops, master classes
who lecture as unpaid volunteers, and this and special events for learners, and conalso makes the work of AIMSSEC more
tributes to maths clubs in schools.
cost effective. AIMSSEC ACE graduates make a valuable contribution as teaching assistants.
What past students have to say about these programmes:
Wavelets Subdivision class
“By the time I completed this course I In addition to professional development
was enriched not just in mathematics but
solving, computing, research paper writing skills
for teachers, AIMSSEC is also involved in
teaching as a whole.” - Jacky Johnson (MT
and the power of networking in academia. AIMS
research. The first major research project
FP 2014)
changed my view of science. Before, I used to see mathematics as a set of problems that
being undertaken is called ‘Improving Progress through Formative Assessment
“The problem solving approach I have
needed solving, but now it is a set of tools that
in Science and Mathematics Education
been taught helped me a lot in solving
I can use to solve other life’s problems.” - Tendai
(FaSMEd). The project, which began in
problems I never thought I could be able
Mugwagwa from Zimbabwe (2003 AIMS gradu-
January 2014, will end in December 2016. to solve. Visualisation is going to help
ate; currently a research associate at Imperial
It is funded by the European Union under
my learners too.” - Thobeka Thelma Bobo-
College in London and a research associate at
the 7th Framework Programme (FP7) and
Gqibitole (ACE IP 2014)
the Health Protection Agency).
involves eight partners from European countries and one South African partner
“At AIMS I gained a lot of skills and impor-
(AIMSSEC).
tant life experiences. For instance, problem
For more information please visit: www.aims.ac.za
Examples of workshops and conferences hosted at AIMS South Africa include:
and exciting.” “The workshop was excellent
African Institute for Mathematical Sciences - Next
I’ve learnt a lot and I’m starting to develop an
Einstein Initiative (AIMS-NEI), IMAGINARY and the
interest in Python language.”
MathematischesForschungsinstitutOberwolfach in
• Mathematics Iff Computing workshop held in
• IMO Training Camp 58 contestants from
on dedicated activities for Africa, and to jointly plan
July 2014. 37 South African 3rd year or honours
12 African countries gathered at AIMS South
future activities. A Science Slam event titled “From
students attended this workshop which taught
Africa for a final training camp from 30 June
the Big Bang to the Brain” also took place on Friday
students programming and how to use the
to 6 July 2014, the objective of the camp was
7 November.
software required.
to expose as many learners to mathematical
Quotes from students who attended the
problems and how to approach it with the best
• On the 12 to 16 January 2015 a five day work-
workshop: “The idea and the spirit behind
possible solution.
shop was held with academic researchers and
Germany. tive mathematics learning tools, to work
graduate students who worked collaboratively
this workshop I must say is awesome, the way the lecturers contributed to the workshop it
• The first ever IMAGINARY Exhibition-
on problems submitted by local industry. This
seemed like it was a calling for them rather
Workshop held in Africa from 5 to 7
workshop was preceded by a four day graduate
than a job or something they’ve been asked to
November 2014, was hosted at AIMS South
workshop where the problems are introduced and
Africa. The event was organized by the do and42that kind of a Stars spirit Magazine is very stimulating Science Mathematics Issue | www.sciencestars.co.za
studied prior to the event.
Stellenbosch University. What sets us apart?
YOU UNLIMITED www.maties.com
Branding | www.gstudio.co.za
Are you creative and eager to explore? So is Stellenbosch University. Do you see the world as your classroom and your future as yours to shape? Stellenbosch University does. Are you driven to make a difference? Then Stellenbosch is the place for you.
MATHS ADVICE
CURING MATH ORNERINESS
Opening doors to opportunities Written By : Donovan Goliath with high levels of anxiety in dealing with numbers. These feelings of insecurity follow them into their careers, causing self-doubt in their working abilities. Understanding Math is a pitfall for countless adults in South Africa who experience failure and confusion in trying to make the world of numbers add up. The result is that they often feel inadequate and incompetent in both their careers and private lives. Math Orneriness is a reality for many people. So, how do you deal with it? A good understanding of all the chapters of Math is required in many fields of study.
H
ello, and welcome to a brand new
Science is not a new obstacle. In compari-
But, where does one actually use algebra,
year. Make sure that you fill the
son to other countries, South Africa still
trigonometry, calculus, and other forms
pages of the new 2015 book with
has some equations to solve in curing the
of higher Math? For students wanting to
your goals and work towards achieving
high levels of Math Orneriness. However,
study science, electronics, commerce, phys-
them. Along with a brand new year comes
more and more interest in the subject
ics, medicine or various other fields in a
a brand new word – orneriness. Orneriness
is being generated, leading to endless
college or university, the formulas learnt in
is a synonym for grumpiness. People are
opportunities for all who pursue it.
these chapters are essential.
constantly emphasising the difficulty
Considering the reality that many young-
of Math, forming a severe case of Math
The symptoms of Math Orneriness are
Orneriness, or Math Grumpiness. Science
picked up at an early stage of the academ- certain what they want to do after school, it
Stars has come up with a few tips on how
ic career and often remain present until
is advisable that you establish a solid foun-
to cure your case of Math Orneriness and
the start of a career. The ability to feel
dation in Math before leaving high school.
succeed in the upcoming academic year.
comfortable with numbers is a crucial skill
Take the recommended doses highlighted
for people at all levels in business but it
below on a daily basis and you’ll be on your
A brief lesson in history will reveal that
is a the fact that many people have nega-
way to a healthy life of Math.
our country’s poor showing in Maths and
tive experiences at school that leave them
Seek out people who feel positive about
44
Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
sters in ninth or tenth grade aren’t yet
MATHS ADVICE FEATURE
Math. It is expressed negatively by lots of
the way we solve math problems presents
shopping), fractions (in cooking), decimals
people. Seek out those who love it, those
a lot of variability!
(calculating money), and measuring skills
who have walked its path and succeeded,
Find good reasons to study math!
(sewing, woodwork) are necessary in every-
and embark on your journey out of Math
Motivate yourself by establishing where
day life. Percentages, large numbers, and
Orneriness.
math is needed. Find everyday applica-
basic statistics are essential in order to
Mistakes should be VALUED, because
tions of math. For example, basic math
understand information in newspapers and
they actually help our brains GROW. Don’t
such as estimating prices and totals (when school books.
put someone down if they give a wrong answer; rather focus on identifying where they went wrong and improve their approach. Take the emphasis off of tests. Tests are a part of school but it isn’t the ultimate goal. The TRUE goals of school mathematics are that the students be able to use math in real life and that they are prepared for higher education. Math is not “unlearnable” or a difficult subject. It has been proven by scientists that children with normal intelligence CAN learn ALL the math presented in the grade school curriculum. Do you have a fixed mindset towards your intelligence and learning, believing that “smarts are fixed” and cannot be changed? Change that mindset! Show children that Math is a CREATIVE subject. Learning Math is more similar to learning music or art than it is to learning history or biology. The basic facts of Math (or music) are true and do not change, BUT Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
45
QUIZ
QUIZ
=7 +1?
Rc 6 os ,
Test your brain
1 Which prime number falls after 31? has one angle of 60 degrees, a sec2 Ifonda triangle angle of 90 degrees, how many degrees would the third angle measure?
added together, what do the visible num3 When ber on a standard dartboard total? is the name of the longest side of a right 4 What angle triangle, opposite the right angle?
5 How many zeros are there in one billion? 6 How many feet are there in a yard? 7 How many square feet are there in an acre? 8 How many prime numbers occur from 11 to 19? 9 What is one sixth of 6300? 10 What is 0.75 as the lowest possible fraction? 11 How many hours are there in seven days? do the numbers 16, 25 and 36 have in 12 What common?
46
Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
04
%9 2 + 5 / (> ^ Âą2 c
4$ % 8 0 Âą *
Cut out and place on your wall for easy reference
DRAFTFCB CAPE TOWN 10003863CT/E
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Science Stars Magazine Mathematics Issue | www.sciencestars.co.za
47
FCB CAPE TOWN 10007095CT/E
Study tips Draw up a study timetable.
Don’t procrastinate!
Make flashcards, use acronyms, sing jingles - anything to help you remember.
Exercise and eat correctly to combat stress. Use tables, flowcharts and figures - pictures can help you remember facts.
Get up a little earlier on the morning of an exam - it will allow you time to have a proper breakfast and you will feel calm when you arrive at your exam venue.
Create a study environment free from clutter and distractions.
If the workload is too big, join a study group. But make sure you actually study.
Get a decent night’s sleep. It helps with your concentration.
Go over as many past papers as you can.
Don’t postpone difficult topics when studying tackle the hard bits first.
Good luck!
At Engen, we want to give you some extra encouragement during your final exams because we understand that education is the first step to a brighter future. That’s one of the reasons why we invest in subjects that will be of long-term value to our business and South Africa. For nearly 3 decades, Engen Maths and Science Schools have provided extra tuition to learners in grades 10 to 12 across the country. Engen wishes you every success for your final matric exams. www.engenoil.com/education
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Science Stars Magazine Mathematics Issue | www.sciencestars.co.za