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Design, printing and postage made possible by: PROGRAMME 19th Annual National Congress 24 - 28 June 2013 University of the Western Cape Bellville, Cape Town
Design, printing and postage made possible by:
PROGRAMME19th Annual National Congress
24 - 28 June 2013
University of the Western Cape Bellville, Cape Town
Our sponsors Principal sponsor
Major sponsors
Other sponsors
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Message from the AMESA President
Welcome all to our annual national congress!
The AMESA Council views our national congress, and indeed our regional congresses, as the prime engine to achieve AMESA’s objective to enhance the quality of the teaching and learning of mathematics.
We are a very diverse audience, including classroom teachers from all phases who are at the chalk face of teaching, mathematics curriculum
advisors and education department officials who support teachers, University, NGO and project personnel involved in pre-service and in-service mathematics teacher education, researchers, and vendors. These different groups come to congress with very different needs and expectations. The Western Cape Local Organising Committee has planned a rich programme to cater for all these different needs and expectations, and I trust that we will all find the congress exciting and fruitful in our different ways.
I in particularly want to warmly welcome our classroom practitioners. I admire that you choose to spend your vacation attending this congress, and that you are taking responsibility for your own professional development. You have therefore come to the congress with high expectations, eager to learn. You will attend many excellent lectures, workshops and discussions, and if you engage I have no doubt that you will learn much about mathematics and the teaching of mathematics from the expert presenters. However, if you engage you are becoming part of a community of practise, and you will find that you will learn as much from your interaction with peers as you do from the formal presentations. And that is what congress is all about!
I also want to especially welcome and thank our presenters for sharing their ideas with us. There are two types of presentations: academic (theoretical and research) papers and practitioner (the wisdom of practise, e.g. ‘How I teach’) papers. The AMESA Council values both and wants to support and develop the input of both types of presentations. Therefore, this year for the first time, authors of accepted reviewed long papers could choose to publish an extended abstract and not the full paper, enabling them to submit their paper to a journal like Pythagoras. This means that the peer interaction and input of congress participants become useful to authors to further improve their academic papers. Similarly, we want to support more practitioners to present at congress and have this year implemented an explicit strategy to use the review process to support authors to improve their papers, rather than just to evaluate (accept or reject) the proposals. We will improve on this strategy, but we have made a start. I want to thank the academic programme team of Zain Davis and Shaheeda Jaffer and our reviewers for investing their time and energy to support our members to publish. Also, Council wants to promote the new category of posters as a medium of presentation. We have a small start this year, but I encourage you to visit the posters and talk to the presenters and I trust that posters will in future become an important presentation mode at congress.
Again, welcome to all in the mathematics education community, and thank you to all who made the congress possible, in particular the University of the Western Cape for hosting us, and AMESA Western Cape for their organisation. I have no doubt that this AMESA Congress 2013 will be a memorable event for all of us.
Alwyn Olivier President: AMESA
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Message from the Congress Director
Dear colleagues
Welcome to the 19th annual national AMESA congress. The aim of the conference is to bring together researchers and practitioners from schools and academia and provide them with a platform to share and debate ideas associated with the kind of mathematics that is embedded in our mathematics curriculum across schooling. In particular, this is our chance to come together to share on the ways in which mathematics has come to be constituted for schooling and how, and also offer some ideas of why. It is the ongoing commitment of educators and colleagues like you that enables us as an association to engage with issues of this nature. Your attendance speaks volumes.
This five day congress offers many long papers, short papers, ‘how I teach’ and poster presentations, Maths Market sessions, plenary presentations, and panel discussions, as well as an organised activity centre. We have been indeed honoured to have contributions from a distinguished set of presenters from South Africa and abroad. Many thanks go to all paper, poster, oral presenters and panel teams.
I thank all our Local Organising Committee (LOC) members as well as colleagues from the events and service departments of UWC, for the precious energy and hard work they were willing to give, amidst their full and busy work schedules. Your time, commitment and dedication in making this congress successful are dearly appreciated and will for ever be remembered by AMESA.
Last but not least, the Welcome Reception, Cultural Evening, Gala Dinner and Excursions have been organised to get participants in closer contact with the local culture and the beautiful surrounding scenery of the Western Cape, and also to socialise with each other.
On behalf of all people who contributed in organising this event and making it successful, I wish you a valuable conference and an exciting stay in Cape Town.
Rajendran Govender AMESA 2013 Congress Director
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Message from the Rector and Vice Chancellor of UWC
Dear delegates
It is a great pleasure to welcome you to the 19th Annual National Congress of The Association for Mathematics Education of South Africa (AMESA) in Bellville, Cape Town. It is an honour for me and the broader university community that AMESA has chosen the University of Western Cape as its venue for a conference of such importance.
The University of the Western Cape is a national university alert to its African and international contexts as it strives to be a place of quality and a place to grow, from hope to action through knowledge. It is committed to
excellence in teaching, learning and research, to nurturing the cultural diversity of South Africa, and to responding in critical and creative ways to the needs of a society in transition. Drawing on its proud experience in the liberation struggle, the University is aware of having a distinctive role to play in helping build an equitable and dynamic society.
We place a high premium on collaboration, teamwork, accountability and shared responsibility. Accordingly, we work with one another and with external groups (organisations) in ways that are mutually beneficial, mutually empowering and mutually responsible, and that speak of caring and connectedness: hence our pride at hosting the AMESA 2013 Congress on our campus.
South Africa’s relationship with mathematics is hugely disturbing. Both the colonial regimes and Apartheid South Africa did not seek to empower the majority of our people mathematically. Their perspective on this is summed by the outrageous utterance of Dr Verwoerd that “What is the use of teaching the Bantu child mathematics when it cannot use it in practice? That is quite absurd. Education must train people in accordance with their opportunities in life, according to the sphere in which they live.”
Soweto 1976 was our response to this. It declared our resolve to win our political freedom so that we might empower ourselves with new knowledge. Alas, the latest TIMMS test has demonstrated conclusively that since 1994 our relationship with mathematics has not improved and has, perhaps, even deteriorated. For this reason the theme that you have chosen, Mathematics vs. Curriculum: What’s the score is timely and desperately necessary. We must find ways to answer this question and to move our nation to seek the quickest ways possible for us to remedy this sad and potentially extremely dangerous situation our nation now finds itself in.
I am happy to see that your theme has drawn interest from leading scholars and educators in the mathematics field from across the country, as well as from outside our borders. I know that many ideas and best practices will be shared at this conference with the hope that through our future endeavours we can overcome the sense of crisis that now permeates the teaching and learning of mathematics across our schools. Let this be the watershed gathering for mathematics in South Africa and may it be marked in history that this AMESA conference heralded the turning point.
I wish you a fruitful and memorable and joyful conference at UWC.
Prof Brian O'Connell Rector and Vice-Chancellor: University of the Western Cape
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Message from the Deputy Dean, UWC Faculty of Education
As Deputy Dean of Postgraduate Studies and Research, it is with great pleasure and pride that I welcome you to the Annual AMESA Congress hosted by the Faculty of Education, at the University of the Western Cape.
You no doubt will deliberate on a topic very close to the hearts and minds of academics, scholars, educators and policy makers. In this regard, how do we think about the ideas of mathematics in ways that can animate our imaginations and thoughts? Clearly, curriculum practice is one such mechanism by which we communicate the body of knowledge to a broader community of students and learners. The
dilemma and the question is whether the nature of the engagement should be in ways that enable students to acquire the body of knowledge and is it measurable via standardised national and international testing systems? I have no doubt that each delegate at the conference with their respective knowledge, experience and mindfulness will contribute to a lively and robust mathematics curriculum engagement. I wish well in your deliberations.
Prof Beverley Thaver Deputy Dean of Postgraduate Studies and Research Faculty of Education, UWC
Message from the Head, Western Cape Education Department
The Western Cape Education Department would like to welcome all AMESA guests and delegates to Cape Town. It is a great privilege for us to host you in our city.
The education sector plan Schooling 2025 and the National Development Plan place great emphasis on the need to improve the teaching and learning of mathematics in South African schools. AMESA has, over many years, contributed to the improvement of Mathematics education and I am certain that this conference will once again move beyond what we all already know (the poor quality of mathematics teaching and learning) and concentrate on how together we may
contribute to solutions to the problems.
The WCED wishes you a fruitful and solution-oriented conference. We will take the papers presented, examples of good teaching practice and the advice of AMESA very seriously as we plan for the next five years.
Thank you, AMESA, for your on-going support for our teachers and learners. Your contribution to quality education is valued and appreciated.
Penny Vinjevold Head: Western Cape Education Department
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Message from the Executive Deputy Mayor of Cape Town
On behalf of the City of Cape Town, I would like to extend a warm and appreciative welcome to all those attending the 19th National Congress of the Association for Mathematics Education of South Africa.
The importance of engagements like this, I would argue, has never been more significant.
Mathematics, as a primary, secondary and tertiary subject, has been widely regarded as taking a proverbial beating of late.
Each year, the statistics show us that much more must be done to create an environment in which our children can learn better. And each year, the need for South Africans who have studied maths becomes greater.
In this relatively new democracy of ours, as we try to build an inclusive South African project, and equip our children to become globally competitive citizens, the need for the study of maths and the problem solving skills it teaches, is critical.
An opportunity like this Congress, where key stakeholders in the industry come together, to share challenges and successes, and to put their heads together to find solutions to the most pressing problems they face, can only be beneficial – to those that teach, and those who must learn.
It is not an understatement to say that the future of mathematics in South Africa lies in your hands, particularly those of you who are involved in the teaching of maths at a primary education level.
The significance of the work you do, and your commitment to that work, in what is often very challenging circumstances, is appreciated.
I wish you well in your deliberations and trust that they will be fruitful.
Alderman Ian Neilson Alderman Neilson is the Executive Deputy Mayor in the City of Cape Town
Tronox Namakwa Sands is proud to be
associated with the AMESA Congress 2013
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Message from the AMESA Western Cape Chairperson
You will know that in 1992, in the Western Cape, a group of concerned mathematics educationalists came together to initiate the formation of the first unitary association for mathematics education in South Africa.
It is somewhat fitting, to an extent, that just over twenty years since the origin of this national association, as we simultaneously cast our gaze back on curriculum development, that we should celebrate our 20th national congress.
The Cape Town Metropole, with its well-connected major satellite centres, enjoys a unique location in the southwest of our country. Its unique location also makes it an out-of-the-way destination, with much of the population unable to find the time or the money to make their way down south.
It also boasts four of the ten top tourist destinations in South Africa, namely Table Mountain, Robben Island, Cape Point, and the Cape Winelands, all of which feature on our congress excursion itinerary. However, you are not here for the tourist attractions and fine foods and wine, but rather to share issues and innovations in mathematics education.
AMESA Western Cape bids you most welcome, and wish you all a fruitful and exciting congress.
Gary Powell Chairperson, AMESA Western Cape
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Plenary Speakers
Zalman Usiskin (USA) is a professor emeritus of education at the University of Chicago, where he was an active faculty member from 1969 through 2007. He continues as Director of the University of Chicago School Mathematics Project (UCSMP), a position he has held since 1987. UCSMP is the largest university-based curriculum project for K-12 mathematics in the USA, with several million students using its elementary and secondary textbooks and other materials. His research has focused on the teaching and learning of arithmetic,
algebra, and geometry, with particular attention to applications of mathematics at all levels and the use of transformations and related concepts in geometry, algebra, and statistics and matters related to curriculum, instruction, and testing. He is the author or co-author of more than 150 publications on mathematics and mathematics education, dozens of books and research monographs, including textbooks for Grades 6-12 and a mathematics text for teachers. Zalman is a well-known and sought-after speaker in the USA and internationally. He received the Glenn Gilbert (National Leadership) Award from the National Council of Supervisors of Mathematics in 1994, and a Lifetime Achievement Award from the National Council of Teachers of Mathematics in 2001. He has been married for 33 years to Karen, a mathematics K-12 product development manager at Pearson Education.
Hamsa Venkat (SA) currently holds the position of SA Numeracy Chair at the University of the Witwatersrand. The work associated with this position involves a five year research and development project (the Wits Maths Connect - Primary project) working to design and monitor interventions focused on improving the teaching and learning of primary mathematics in ten primary schools in one district. Hamsa began her career as a high school mathematics teacher in London comprehensive schools before moving into mathematics teacher education at the
Institute of Education in London. She holds a PhD from Kings College London, which was awarded the British Educational Research Association award in 2004 for making the most significant doctoral contribution in education. Hamsa has lived in South Africa for eight years. Her early research at Wits was focused on Mathematical Literacy. Her current focus is on primary mathematics teaching and learning, working with a project team consisting of Wits staff and postgraduate students.
Peter Dankelmann (SA) is Professor of Mathematics at the University of Johannesburg. He was born and educated in Germany, where he received his doctorate from the University RWTH Aachen. He worked at the University of (KwaZulu-)Natal from 1993, before joining the University of Johannesburg in 2012. Peter is an active researcher in Graph Theory, a modern area of mathematics which is used to model networks. He has published more than 70 research papers in leading international journals. He is a member of the editorial board of the international journal Utilitas Mathematica, and a founder member of the editorial board of the international journal
Electronic Journal of Graph Theory and its Applications. Peter believes that, due to its visual impact, Graph Theory could play an important role in making mathematics more accessible and more exciting for learners and adults. Peter was active in the Interprovincial Mathematics Olympiad as a national organiser for nearly a decade, and he is currently a member of the organising committee of the South African Tertiary Mathematics Olympiad. In his spare time Peter is a chess enthusiast and a firm believer in the benefits of the game for learners; he also repeatedly held the title of KwaZulu-Natal chess champion.
Phadiela Cooper (SA) was born and raised in Cape Town. She completed her B.Soc.Sc degree at the University of Cape Town, HED at the University of South Africa, B.Ed and M.Ed degrees at the University of the Western Cape. She has been a mathematics teacher for 28 years, 18 years at Portland High School and 10 years at the Centre of Science and Technology (COSAT). For the last five of the ten years at COSAT, she served as the principal, a position she currently holds. COSAT has been named one of the top 10 schools in the Western Cape
based on their 2011 matriculation examination results, the first township school to achieve this accomplishment. Phadiela is passionate about education and strives to make a difference in the lives of children, specifically disadvantaged children, through education. Phadiela has been married for 27 years and has three children. She loves reading and taking long walks.
Zain Davis (SA) lectures in mathematics education in the School of Education at the University of Cape Town. He taught mathematics in a secondary school before moving the Mathematics Education Project of the University of Cape Town, and then on to the School of Education. Zain's chief current research interest is exploring the question of what comes to be constituted as mathematics in the pedagogic situations of elementary and secondary schooling. He draws on work in mathematics education, mathematics, semiotics, philosophy, psychoanalysis, sociology and linguistics in his exploration of the constitution of school mathematics.
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Plenary Panel Discussions
The Plenary Panel Discussions promote incisive debate on topical issues in the mathematics education field with invited key players who can open up insights that are valuable for the community to engage with and question.
Plenary Panel 1: Mathematics vs. the Curriculum: What’s the score?
Chair: Cyril Julie Panellists: Piet Human, Karin Brodie and Zalmin Usiskin The panel focuses on the realisations of mathematics in the various transformations of the school mathematics curriculum and implications for teaching and learning of school mathematics.
Plenary Panel 2: History of AMESA – Twenty Years
Chair: Vasuthavan Govender Panellists: Cyril Julie, Mark Jacobs, Elspeth Khembo and Alwyn Olivier This panel discussion is devoted to the 20 year history of AMESA and focuses on the following key issues: constructing and deconstructing the history of AMESA, participation and democracy in AMESA, AMESA's contribution to mathematics and charting the way forward for the next 20 years.
Plenary Panel 3: An overview of mathematics teaching and learning in the Western Cape
Chair: Shaheeda Jaffer Panellists: Raymond Smith, Jaamiah Galant, Ursula Hoadley, Anthea Roberts and Mdu Ndlovu The panel will discuss implications of research on mathematics teaching and learning as well as other aspects of schooling that impact on the teaching and learning of school mathematics in the Western Cape.
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Local Organising Committee
Congress Director: Rajendran Govender
Academic Coordinator & Team: Zain Davis Shaheeda Jaffer
Program Committee: Rajendran Govender Alwyn Olivier Zain Davis Shaheeda Jaffer
Activity Centre: Anita Campbell
Treasurer: Neil Eddy Bridget Cameron
Congress Secretary: Kim Styer
Administrative Assistant: Nigel Matolla
Sponsorship & Exhibitors: Stanley Adendorff Alwyn Olivier
Presenters & Venues: Monde Mbekwa Bruce May Gasant Gamiet Memory Dhiza Cyril Julie
Transport: Faaiz Gierdien Sibawu Siyepu
Registration: Andrew Lewis Neil Eddy Kim Syer Alleta Loopuyt Nigel Matolla Sheena Rughubar-Reddy Mike Cameron
Accommodation: Desiree Timmett
Catering: Gary Powell Desiree Timmett
Social Programme: Bruce May Phadiela Cooper Mark Jacobs Nigel Matolla Duncan Mhakure
Memorabilia: Cerenus Pfeiffer
Host for Plenary Speakers: Lesley Jennings
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General Information
Registration The registration desk is located in the Main Hall foyer. Membership desk The AMESA Congress is for members only. Visit the AMESA membership secretary, Noeline Tomsett, at the membership desk in the Main Hall foyer for all membership enquiries. Information desk If you feel lost or are not sure of anything, come along to the Information Desk in the Main Hall foyer for help. Daily announcements will be available at the Information Desk. Presenters support room Visit room MH1 in the Main Hall building for assistance with presentations. Name tags Please note that it is essential for participants to wear their name tags at all times for access to hostel accommodation, academic sessions, exhibitions, social events, excursions, tea and meals. Otherwise you may be asked for identification. Tea and meals Tea will be served in the Great Hall upper and lower foyers. The exhibitions are also here. Lunch will be served in the Student Centre. Breakfast for all hostel delegates will be served at Reslife from 06:30 until 08:00. Hostel delegates who paid for supper will have supper at Reslife between 18:00 and 20:00. Cell phones Please switch off your cell phone during sessions. Punctuality and venue limits Please be punctual for all session. Note that workshop venues can accommodate only 30−35 participants – please understand that when capacity is reached, sessions chairs and student assistants will not allow more people to enter. Equipment Presenters should check their booked equipment (data projectors, overhead projectors, computer laboratories, etc.) and also supply the relevant software for preloading before their sessions. Enquiries should be directed at the Information Desk in the foyer of the Main Hall for the attention Kim Styer. Computer sessions Computer workshops will be held in the Tintana walk-in computer lab 1 & 2 just next to the Main Hall (coded TT1 and TT2 in the timetable) and in the Library computer lab (coded CLL in the timetable). Photocopy facilities Limited photocopy facilities will be available for the presenters, please enquire at the information desk in the foyer of the Main Hall.
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General Information cont.
Congress memorabilia The following congress memorabilia will be available at the Information Desk while stocks last: Hooded Rain Jacket @ R300, Golf Shirt (long sleeve) @ R180, Scarf @ R40 and Beanie @ R40. Evening social functions Monday, 18:30 Welcome Reception in the Student Centre Tuesday, 18:30 Cultural Evening in the Student Centre Thursday, 19:00 Gala Dinner at Pigalle Restaurant Emergency numbers On campus emergency numbers Emergency 021 959 2100 Medical assistance 021 959 2100 Security 021 959 2564 or 021 959 3777 On Campus Clinic 021 959 2875 or 021 959 2876 (open 08:30−16:30) Security HOD 5109 (short code) or 082 202 3215 or 021 959 2239 Chief Fire Officer 5193 (short code) or 082 202 3505 or 021 959 2508 Theft 021 959 2564 or 021 959 3700 Residence Coordinators:
Ruth First 021 959 2869 Collin Williams 021 959 2868
Off-campus emergency numbers Melomed Hospital (Private) Bellville 021 948 8131 Tygerberg Hospital (Public) Bellville 021 938 4911 Karl Bremer Hospital (Public) Bellville 021 918 1911 Lightstar Pharmacy 021 945 2059 M-KEM 24 Hour Medicine City (Bellville) 021 948 5702/6/7 or 021 948 5667 Ambulance Service 0800 786 000 South Africa Police Service (Bellville South) 021 950 1306/7/9
Other numbers Mr. Delivery 021 914 6060 Sport taxis 021 934 3477 or 072 748 8853 Touch Down Taxis 021 697 4536 or 083 652 0786
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Activity Centre Programme
In the Activity Centre you can practice new ways to keep learners actively and mathematically engaged in the classroom. And the activities will interest and extend you too! The Activity Centre caters for teachers of all phases. Feel free to join main programme workshops (WS) or just pop in to try out something new in a safe space. The Activity Centre is open during congress Excursions.
The Activity Centre has two venues: The Activity Lab (TT2, the Tintana computer lab 2 next to Main Hall) has 50 computers where you can try out mathematics education technology such as Geogebra and the Khan Academy videos. In the Games Room (ACG, at upper level in the Student Centre) you can learn to play games that develop mathematical thinking. (It’s also a good place to recharge phones and laptops.)
Sunday23June MainProgramme ActivityLab (TT2) GamesRoom(ACG)14:00–17:00 Pre‐congressworkshops Open WS:PatternsforIPMonday24June MainProgramme ActivityLab GamesRoom08:00–09:45 RegistrationinMainHall ExploretheKhanAcademy videos Open08:30–09:30 Tea Open Open10:00–11:30 OpeningCeremony11:30–12:30 Plenary:Usiskin Tryoutfavouritemathstechnology Open13:00–14:00 Lunch Open Open14:00–16:05 ParallelSessions1 WS:Theoremsandconverses Open16:05–16:35 Tea Open Open16:35–17:35 RegionalMeetings18:30 WelcomereceptionTuesday25June MainProgramme ActivityLab GamesRoom08:30–10:30 PanelDiscussion1 EdtechresourcesforGrade 6&7 Open10:30–11:00 Tea Open Open11:00–12:00 Plenary:Venkat Tryoutfavouritemathstechnology Open12.00–13:00 MMCasio Tryoutfavouritemathstechnology Open13:00–14:00 Lunch Open Open14:00–16:05 ParallelSessions2 WS:Animateanglesincircles Open16:05–16:35 Tea Open Open16:35–17:35 AMESAAGM18:30 CulturaleveningWednesday26June MainProgramme ActivityLab GamesRoom08:30–10:35 ParallelSessions3 WS:Whatdoesthegraphlooklike? WS:VisualpatternsforIP10.35–11:00 Tea Open Open11:00–12:00 Plenary:Cooper EdtechresourcesforGrade 6&7 Open12:05–12:30 IMO:JohnWebb EdtechresourcesforGrade 6&7 Open12:30–16:30 Excursions Open OpenThursday27June MainProgramme ActivityLab GamesRoom08:30–10:30 PanelDiscussion2 EdtechresourcesforGrade 6&7 Open10:30–11:00 Tea Open Open11:00–12:00 Plenary:Dankelmann Tryoutfavouritemathstechnology Open12:05–13:00 ParallelSessions4(SIGs) Tryoutfavouritemathstechnology Open13:00–14:00 Lunch Open Open14:00–16:05 ParallelSessions5 Open Open16:05–16:30 Tea Open Open16.30–18:00 PanelDiscussion319:00 GaladinnerFriday28June MainProgramme ActivityLab GamesRoom08:30–09:35 ParallelSessions6 Tryoutfavouritemathstechnology Open09:35–10:00 Tea Open Open10:00–11:00 Plenary:Davis ExploretheKhanAcademy videos Open11:00–12:00 ClosingCeremony12:00–13:00 Lunch
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Academic Programme
Sunday 23 June
10:00 – 21:00
Registration Main Hall Foyer
14:00 Hostel accommodation opens
Pre‐congress workshops 14:00 – 17:00
Audience Type Presentation Venue
WS Patterns, algebra and functions for Foundation Phase ‐ Nicky Roberts
GH3.4
WS Patterns all around us for Intermediate Phase ‐ Agatha Lebethe, Gabeba Agherdien, Heather Collins
ACG
WS Playing with geometry in the Senior Phase ‐ Yusuf Johnson GH3.10
WS Geogebra for teaching and learning high school mathematics ‐ Cerenus Pheiffer
TT1
Legends
Audience VenuesFP IP SP FET TE GH1/GH2/GH3 Great Hall Lecture theatres 1/2/3
GH3.1/3.4/3.5 Great Hall Tut rooms 3.1/3.4/3.5
GH3.6/3.9 Great Hall Tut rooms 3.6/3.9 GH3.10/3.11 Great Hall Tut room 3.10/3.11 Presentation type B1/ B2/ B3/ B4 B‐Block lecture theatre 1/2/3/4LP Long paper C3/C5/C9 C‐Block lecture theatre 3/5/9 SP Short paper ACG Activity Centre Games room HIT How I Teach TT1 Tintana walk‐in computer lab 1WS1 Workshop (1 h) TT2 Tintana walk‐in computer lab 2WS2 Workshop (2 h) CLL Library computer lab MM Maths Market DPS Discussion with plenary speakerSIG Special Interest group
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Monday 24 June
08:00 – 09:45 Registration Main Hall Foyer
08:30 – 09:30 Tea Great Hall Foyer (upstairs and downstairs)
10:00 – 11:30 (Seated by 09:45) Opening Ceremony Main Hall Foyer
Plenary 1 11:30 – 12:30
What does It mean to understand some mathematics? Zalman Usiskin, Zenex guest speaker
Main Hall
Lunch 13:00 – 14:00
Student Centre
Parallel Session 1 14:00 – 16:05
Audience Type Presentation Venue Time
WS2 Assessing early number learning using the learning framework in number ‐ Maria Weitz
GH3.4 14:00 ‐ 16:00
WS2 Getting off the plane: from tessellations to solids ‐ Brian Doig
GH3.5 14:00 ‐ 16:00
WS2 Analysing the Grade 9 national annual assessment for mathematics ‐ V.G. Govender
GH3.6 14:00 ‐ 16:00
WS2 AIMSSEC do‐it‐yourself workshops. Teachers as learners with other teachers ‐ Toni Beardon
GH3.10 14:00 ‐ 16:00
WS2 Teaching and learning about measuring mass, capacity and length in the Foundation Phase ‐ Agatha Lebethe
GH3.1 14:00 ‐ 16:00
WS2 Tinkerplots ‐ Helena Wessels TT1 14:00 ‐ 16:00
WS2 Theorems and converses ‐ Sue Southwood TT2 14:00 ‐ 16:00
LP Using the 'knowledge quartet' to analyseprimary mathematics teaching in South Africa: the case of Sibongile ‐Lawan Abdulhamid & Hamsa Venkat
GH1 14:00 ‐ 15:00
LP Quantifying qualitative numeracy interview data ‐ Debbie Stott & Mellony Graven
GH1 15:05 ‐ 16:05
DPS Discussion with the plenary speaker: Zalman Usiskin
GH2 14:00 ‐ 14:30
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Monday 24 June cont.
Audience Type Presentation Venue Time
SP What threats and benefits do free online mathematics courses pose to traditional universities? ‐Anita Campbell
GH2 14:30 ‐ 15:00
MM Pearson: A vision for personalized and connected learning‐ Riitta Vanska & Seshni Naicker
GH2 15:05 ‐ 16:05
LP Towards an explicit use and integration of an object definition of the statistical mean with average ‐ Erna Lampen
B1 14:00 ‐ 15:00
LP Investigating some of the possible causes of some of the problems experienced in the teaching and learning of Grade 11 statistics ‐ Eva Makwakwa & David Mogari
B1 15:05 ‐ 16:05
SP Refining a learning network for "doubling and halving" and "odd and even numbers" ‐ Nicky Roberts & Heather Mills
B2 14:00 ‐ 14:30
SP I am thinking of a number ‐ Ursula Röntsch B2 14:30 ‐ 15:00
MM Children's muscle skill development & mathematical concepts. How are they linked? ‐ Heleen Johnson
B2 15:05 ‐ 16:05
LP The use of an advance organizer to improve mathematical learning – motivation for all teachers ‐ Sibis Mouton
C9 14:00 ‐ 15:00
LP Towards a model for intentional teaching for improving achievement in high‐stakes examinations ‐ Cyril Julie
C9 15:05 ‐ 16:05
MM Making the most of maths in the classroom ‐Kevin Smith
C5 14:00 ‐ 15:00
MM Oxford Product ‐ Lucille van Gensen C5 15:05 ‐ 16:05
Tea 16:05 – 16:35
Main Hall Foyer, Great Hall Foyer, B‐Block
AMESA regional meetings 16:35 – 17:35
Region Venue Region Venue Region Venue
Gauteng B2 North‐West GH3 Northern Cape B3Eastern Cape C3 Mpumalanga B4 Limpopo GH2KwaZulu‐Natal C5 Free State C9 Western Cape B1
Welcome Reception 18:30
Student Centre
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Tuesday 25 June
Panel 1 08:30 – 10:30
Mathematics vs. the curriculum: What’s the score? Zalman Usiskin, Karin Brodie, Piet Human Chair: Cyril Julie
Main Hall
Tea 10:30 – 11:00
Main Hall Foyer, Great Hall Foyer, B‐Block
Plenary 2 11:00 – 12:00
Curriculum development minus teacher development ≠ mathema cs education Hamsa Venkat, Zenex guest speaker
Main Hall
Session Maths Market 12:00 – 13:00
CASIO 4 U Merrick James Main Hall
Lunch 13:00 – 14:00
Lunch sponsored by Pearson
Student Centre
Parallel Session 2 14:00 – 16:05
Audience Type Presentation Venue Time
WS2 AIMSSEC: starting with a problem not a technique ‐Toni Beardon
GH3.5 14:00 ‐ 16:00
WS2 Geometry in art and design ‐ Susie Groves GH3.10 14:00 ‐ 16:00
WS2 Polya's problem‐solving model: Surface area and perimeter in an authentic context ‐ Stephan du Toit
GH3.4 14:00 ‐ 16:00
WS2 Grade 10 Geometry through paper folding ‐Micky Lavery & Jackie Scheiber
GH3.6 14:00 ‐ 16:00
WS2 Probability concepts leading to the use of Venn‐diagrams in the solving of problems ‐ Lucia van Rensburg & Edward Moseki
GH3.9 14:00 ‐ 16:00
19
Tuesday 25 June cont.
Audience Type Presentation Venue Time
WS2 Introduction to Rasch measurement theory ‐Caroline Long & Sarah Bansilal
TT1 14:00 ‐ 16:00
WS2 Animate your angles in circle geometry ‐Frankson Muzondo & Bomikazi Mtangayi
TT2 14:00 ‐ 16:00
LP Mathematical modelling in the school curriculum ‐ Zalman Usiskin
GH1 14:00 ‐ 15:00
MM Pearson: A vision for personalized and connected learning ‐ Riitta Vanska & Seshni Naicker
GH1 15:05 ‐ 16:05
LP Students’ interpretations in learning derivatives in a university mathematics classroom ‐ Sibawu Witness Siyepu
GH2 14:00‐ 15:00
SP Basic mathematical errors made by extended degree programme engineering students ‐ Janine Hechter
GH2 15:05 ‐ 15:35
MM Test and Improve Grades 8 ‐ 12: A targeted and effective diagnostic assessment programme ‐ Tatiana Sango
B1 14:00‐ 15:00
MM Maths the Macmillan way ‐ Allison Philander B1 15:05 ‐ 16:05
LP Mathematical word problems without real contexts and meaning ‐ Percy Sepeng
B2 14:00 ‐ 15:00
LP Dispelling the myths of Mathematical Literacy ‐Marc North
B2 15:05 ‐ 16:05
SP Thinking about mathematics for teaching: Confronting the blind spots ‐ Phumzile Mthiyane
C3 14:00‐ 14:30
SP Thinking about teaching mathematics: Being well prepared ‐ Patricia Mpotu
C3 14:30‐ 15:00
MM Software and Smart Board maths ‐ Christopher Maxwell
C3 15:05 ‐ 16:05
SP Learning mathematics through the making of video explanations for a multi‐language database ‐ Anita Campbell & Manuella D’Oliviera Pio
C9 14:30 ‐ 15:00
MM Lectio's Surviving Mathematics ‐ Beatrice Bramley
C9 15:05 ‐16:05
Tea 16:05 – 16:35
Main Hall Foyer, Great Hall Foyer, B‐Block
AMESA Annual General Meeting 16:35 – 17:35
Main Hall
Cultural evening 18:30 – 22:00
Student Centre
20
Wednesday 26 June
Parallel Session 3 08:30 – 10:35
Audience Type Presentation Venue Time
WS1 Making regression analysis easy using a Casio scientific calculator ‐ Astrid Scheiber
GH3.10 08:30 ‐ 09:30
WS1 Using a Casio scientific calculator to assist in plotting graphs ‐ Lauren Izaaks
GH3.10 09:35 ‐ 10:35
WS2 "I know my maths". Number concept, place value, basic operations ‐ Gabeba Agherdien
GH3.5 08:30 ‐ 10:30
WS2 The Grade 4 ‐ 7 SA Mathematics Challenge ‐Alwyn Olivier
GH3.11 08:30 ‐ 10:30
WS2 Five number summary and box and whisker diagrams for ungrouped and grouped data ‐ Thanyani Rambane
GH3.9 08:30 ‐ 10:30
WS2 Examining the visual patterns that occur around us in a mathematical way ‐ Heather Collins
ACG 08:30 ‐ 10:30
WS2 Using Geogebra to teach circle geometry ‐Cerenus Pfeiffer
TT1 08:30 ‐ 10:30
WS2 What does the graph look like? ‐ J.J. Khumalo & Delani Mthethwe
TT2 08:30 ‐ 10:30
WS2 Strategies for problem solving ‐ Susie Groves GH3.6 08:30 ‐ 10:30
MM Intelligent practice in the classroom ‐ a teacher's tool ‐ Carine Grobbelaar & Nicola Glenday
CLL 08:30 ‐ 09:30
MM Intelligent practice in the classroom ‐ a teacher's tool ‐ Carine Grobbelaar & Nicola Glenday
CLL 09:35 ‐ 10:35
LP Textbooks from a publisher’s perspective: Factors that affect the product ‐ Karen Usiskin
GH2 08:30 ‐ 09:30
MM SAMF olympiad programmes ‐ Patrick Rasehwete GH2 09:35 ‐ 10:35
MM Why you should use the Via Afrika Mathematics series as learner and teacher resource? ‐ Raymond Smith
GH3 08:30 ‐ 09:30
MM The interactive classroom ‐ Phillip Robinson GH3 09:35 ‐ 10:35
SP The learning of geometry as moving from one thinking level to the next: Revisiting Van Hiele ‐ Mdutshekelwa Ndlovu
B1 08:30 ‐ 09:00
SP The use of Geogebra dynamic software with FET mathematics educators ‐ Alfred Mvunyelwa Msomi
B1 09:00 ‐09:30
21
Wednesday 26 June cont.
Audience Type Presentation Venue Time
LP Integrating mathematics and technology education for conceptual understanding of geometrical concepts‐ Z.M.M. Jojo
B1 09:35 ‐ 10:35
LP An investigation of aspects of a mathematics literacy preliminary paper through an application of Rasch measurement theory ‐ Caroline Long, Sarah Bansilal & Rajan Debba
B2 08:30 ‐ 09:30
MM Test and Improve Grades 8 ‐ 12: A targeted and effective diagnostic assessment programme ‐Tatiana Sango
B2 09:35 ‐ 10:35
SP The use of technology in addressing the mathematics education crisis in South Africa ‐ Anita Campbell, Kenneth Rafel & Thamsanqa Vezi
C3 08:30 ‐ 09:00
DPS Discussion with the plenary speaker: Hamsa Venkat
C3 09:00 ‐ 09:30
MM Intelligent adaptive learning ‐ an essential element of 21st century mathematics teaching and learning ‐ Keith Maree
C5 09:35 ‐ 10:35
MM The Answer Series setting the pace for CAPS (GET) ‐ Andrew Lewis
C5 08:30 ‐ 09:30
MM Teaching Geometry in Grade 9 with Headstart Maths ‐ Mbulelo Bali
C5 09:35 ‐ 10:35
Tea 10:35 – 11:00
Main Hall Foyer, Great Hall Foyer, B‐Block
Plenary 3 11:00 – 12:00
Geometry problem‐solving in collaborative small groups Phadiela Cooper, Zenex guest speaker
Main Hall
Session 12:05 – 12:30
2014 International Mathematics Olympiad John Webb
Main Hall
Excursions (and packed lunch) 12:30
22
Thursday 27 June
Panel 2 08:30 – 10:30
History of AMESA – Twenty years Mark Jacobs, Elsbeth Kembo, Cyril Julie, Alwyn Olivier Chair: V.G. Govender
Main Hall
Tea 10:30 – 11:00
Main Hall Foyer, Great Hall Foyer, B‐Block
Plenary 4 11:00 – 12:00
Graphs, networks and six degrees Peter Dankelmann
Main Hall
Parallel Session 4: Special interest groups 12:05 – 13:00
Audience Type Presentation Venue
SIG Curriculum Phase Committee FP ‐ Busisiwe Goba (Chair) C5
SIG Curriculum Phase Committee IP ‐ Isaiah Shabango (Chair) C9
SIG Curriculum Phase Committee SP ‐ Wandile Hlaleleni (Chair) B3
SIG Curriculum Phase Committee FET‐ Jeffrey Thomas (Chair) GH2
SIG Curriculum Phase Committee Mathematical Literacy ‐Marc North (Chair) C3
SIG Mathematics Teacher Education ‐ Caroline Long (Chair) GH3
Lunch 13:00 – 14:00
Student Centre
Poster presentations 14:00 – 16:05
Barrie Barnard; Kaashief Hassan; Diliza Hewana; Martha Masha; Judah P. Makonye; Gugulethu Shongwe; A. Taljaard; Helena Wessels & F. Heroldt Bezuidenhout; L. Wheeler
Main Hall Foyer
23
Thursday 27 June cont.
Parallel Session 5: 14:00 – 16:05
Audience Type Presentation Venue Time
WS2 Using dice and card games in mental maths sessions ‐Debbie Stott, Diliza Hewana, Nombulelu Koliti & Yaleka Mase
GH3.5 14:00 ‐ 16:00
WS2 Designing a trajectory to develop the fraction concept in the Intermediate Phase ‐ Amanda le Roux
GH3.10 14:00 ‐ 16:00
WS2 A typical geometry lesson ‐ Ria Brown & Philip Brown GH3.4 14:00 ‐ 16:00
WS2 Tackling geometry in the FET band ‐ Rencia Lourens GH3.6 14:00 ‐ 16:00
WS2 Teaching and learning about measuring mass and capacity in the Intermediate Phase ‐ Heather Collins
GH3.1 14:00 ‐ 16:00
WS2 Plans, plans and more plans. Making sense of the sections in the mathematical literacy CAPS curriculum that deal with plans and models ‐ Marc North
GH3.9 14:00 ‐ 16:00
WS2 A dynamic investigation of Napoleon's theorem ‐Michael de Villiers
TT1 14:00 ‐ 16:00
MM Intelligent practice in the classroom: a teacher's tool ‐Carine Grobbelaar & Nicola Glenday
CLL 14:00 ‐ 15:00
MM Intelligent practice in the classroom: a teacher's tool ‐Carine Grobbelaar & Nicola Glenday
CLL 15:05 ‐ 16:05
MM Hands‐on Equations. Making Algebra child's play ‐Elna Vermaak
GH3.11 14:00 ‐ 15:00
WS1 Rocket car‐matics ‐ Christopher Maxwell GH3.11 15:05 ‐ 16:05
LP Implementing Japanese lesson study in the Australian context ‐ Susie Groves & Brian Doig
GH1 14:00 ‐ 15:00
LP Teachers' perceptions of the relevance of their mathematics INSET programme ‐ Mdutshekelwa Ndlovu
GH1 15:05 ‐ 16:05
SP I am thinking of a number ‐ Ursula Röntsch GH2 14:00 ‐ 14:30
SP How we teach money in Grade 1 ‐ Nicola Zeeman & Nicky Roberts
GH2 14:30 ‐ 15:00
MM Numicon ‐ Amanda van der Merwe GH2 15:05 ‐ 16:05
SP Symbol sense through a spreadsheet algebra view of f(m, x) = mx and f(m, c, x) = mx + c in pre‐service mathematics teacher education ‐ Faaiz Gierdien & Alwyn Olivier
B1 14:00 ‐ 14:30
SP An investigation into the facilitation of mathematisation in patterning by three student teachers ‐ Lauren Burger, Dirk Wessels, Erico Swartz, Alette van Wyk
B1 14:30 ‐15:00
LP Group theory – a relevant topic for prospective teachers? ‐ Frode Rønning
B1 15:05 ‐ 16:05
24
Thursday 27 June cont.
Audience Type Presentation Venue Time
LP An analysis of errors and misconceptions in the 2010 Grade 12 mathematics examination: A focus on quadratic equations and inequalities ‐ Hebrew Godden, Monde Mbekwa & Cyril Julie
B2 14:00 ‐ 15:00
LP Mathematics, curriculum and assessment: The role of taxonomies in the quest for coherence‐ Caroline Long, Tim Dunne & Hendrik de Kock
B2 15:05 ‐ 16:05
DPS Discussion with the plenary speaker: Phadiela Cooper B3 14:00 ‐ 14:30
DPS Discussion with the plenary speaker: Peter Dankelmann
B3 14:30 ‐ 15:00
MM The teachers' legal product ‐Manie Smith & Andre Very
B3 15:05 ‐ 16:05
SIG Writing for Pythagoras ‐ ethical issues ‐ Alwyn Olivier B4 14:00 ‐ 15:00
MM The Answer Series setting the pace for CAPS (FET) ‐Anne Eadie & Gretel Lampe
B4 15:05 ‐ 16:05
HIT How we teach number patterns in a less resourced Grade 10 class ‐ Michael Mhlolo & Barbara Kapa
C3 14:00 ‐ 14:30
HIT Using wooden cubes to help learners investigate number patterns and to understand sum of terms of an arithmetic series ‐ Nyameka Kangela & May Moya
C3 14:30 ‐ 15:00
MM Maths Study Cards ‐ How do they help? ‐Monica Loyd C3 15:05 ‐ 16:05
MM Factorising and factor pairs made easy ‐ Talitha Moore & Nicole Sengers
C5 14:00 ‐ 15:00
MM How to effectively teach maths using My Maths Buddy! ‐ Paul Roborg‐Sondergaard
C5 15:05 ‐ 16:05
LP Exploring better ways of enhancing low performing learners' understanding of the general term of a quadratic sequence ‐ Eric Machisi, Ugorji I. Ogbonnaya & David Mogari
C9 14:00 ‐ 15:00
MM Quick ways of creating maths worksheets and diagrammes ‐ Lynn Pollock
C9 15:05 ‐ 16:05
Tea 16:05 – 16:30Main Hall Foyer, Great Hall Foyer, B‐Block Panel 3 16:30 – 18:00Mathematics teaching and learning in the Western Cape Jaamiah Galant, Ursula Hoadley, Anthea Roberts, Raymond Smith, Mdutshekelwa Ndlovu Chair: Shaheeda Jaffer
Main Hall
Gala dinner 19:00 – 23:00Pigalle Restaurant
25
Friday 28 June
Parallel Session 6: 08:30 – 09:35
Audience Type Presentation Venue Time
WS1 Multiplication is repeated addition ‐ Betty Chewe
GH3.10 08:30 ‐ 09:30
WS1 Manipulatives are not toys, use with caution: Extracts from Headstart series Foundation Phase ‐ Themba Tshongwe
GH3.11 08:30 ‐ 09:30
WS1 Dependent and independent events ‐ Desiree Timmet
GH3.6 08:30 ‐ 09:30
WS1 Transformation geometry of GET is a pre‐requisite for understanding FET transformations ‐ Wandile Hlaleleni
GH3.9 08:30 ‐ 09:30
WS1 Excelling parabolic functions – Robert Tlou Mabotja
TT1 08:30 ‐ 09:30
MM Hands‐on Equations. Demystifying verbal problems ‐ Elna Vermaak
GH3.4 08:30 ‐ 09:30
HIT How I teach: Using the "beetle" dice game for developing addition and multiplication in Grade 3 and 4 learners ‐ Yaleka Mase & Nombulelu Koliti
GH2 08:30 ‐ 09:00
SP Teaching "filling up the tens" ‐ Ursula Röntsch & Lindy James
GH2 09:05 ‐ 09:35
HIT How we teach functions in a less resourced Grade 10 class ‐ Michael Mhlolo & Fikiswa Mani
GH3 08:30 ‐ 09:00
HIT Factorising 3rd degree polynomials: An alternative approach to finding the quadratic quotient ‐ Benard Chigonga
GH3 09:05 ‐ 09:35
MM Maths with MATHOMAT: a whirlwind tour ‐Susie Groves
B1 08:30 ‐ 09:30
MM Pearson: A vision for personalized and connected learning ‐ Riitta Vanska & Seshni Naicker
B2 08:30 ‐ 09:30
HT Operations with integers ‐Michael Curry & Carla Van Niekerk
B3 08:30 ‐ 09:00
HT Investigating the effect of changing the values of parameters on the graphs of functions using Geogebra ‐ Barrie Barnard
B3 09:05 ‐ 09:35
HT How I teach shape using geometric solids ‐Melissa Tweedie
B4 08:30 ‐ 09:00
HT How I teach numeracy using 3‐D cubic building blocks ‐ Elvira Milborrow
B4 09:05 ‐ 09:35
26
Friday 28 June cont.
Audience Type Presentation Venue Time
LP The development of engineering students' algebra skills: findings from an algebra skills test refined by Rasch analysis ‐ Tracy S. Craig & Anita Campbell
C3 08:30 ‐ 09:30
SP Implementing the National Curriculum Statement: Mathematics educators’ experiences ‐ O.L. Mosala & Karen Junqueira
C9 08:30 ‐ 09:00
HIT How to design a symbol for a new mathematics Olympics ‐ a mathematics project for Grade 11 ‐ Nyameka Kangela & Xoliswa Mbelani
C9 09:05 ‐ 09:35
MM Why the Via Afrika publisher's Mathematical Literacy series is the best series in the DBE approved market ‐ Marc North
C5 08:30 ‐ 09:30
Tea 09:35 – 10:00
Main Hall Foyer, Great Hall Foyer, B‐Block
Plenary 5 10:00 – 11:00
The use of the idea of coherence in descriptions and analyses of school mathematics curricula, textbooks and pedagogy Zain Davis
Main Hall
Closing ceremony 11:00 – 12:00
Main Hall Foyer, Great Hall Foyer, B‐Block
Lunch 12:00 – 13:00
Student Centre
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QUIZ
32
Program
me O
verview
Use th
is overview
of th
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me to
fill in yo
ur ch
oices.
Monday 2
4 Ju
ne
Tuesd
ay 25 Ju
ne
Wednesd
ay 26 Ju
ne
Thursd
ay 27 Ju
ne
Friday 2
8 Ju
ne
08:00 – 0
9:45 Registratio
n08:30 – 1
0:30 Plenary P
anel 1
Chair: C
yril Julie
Main
Hall
08:30 –10:35 Paralle
l sessio
n 3
08:30 –10:30 Plenary P
anel 2
Chair: V
.G. G
ovender
Main
Hall
08:30 –09:35 Paralle
l sessio
n 6
08:30 – 0
9:30 Te
a10:30 – 1
1:00Tea
10:35 –11:00 Te
a10:30 –11:00 Te
a09:35 –10:00 Te
a
10:00 – 1
1:30
Open
ing ce
remony
11.30 – 1
2:30 Plenary 1
Zalm
an Usiskin
Main
Hall
11:00 – 1
2:00 Plenary 2
Ham
sa Ven
kat Main
Hall
11:00 –12:00 Plenary 3
Phad
iela C
ooper
Main
Hall
11:00 –12:00 Plenary 4
Peter D
ankelm
ann
Main
Hall
10:00 –11:00 Plenary 5
Zain
Davis
Main
Hall
12:00 ‐1
3:00 M
aths M
arketMerrick Jam
es
Main
Hall
12:05 –12.30 IM
O 2014
John W
ebb
Main
Hall
12:05 –13.00 Paralle
l sessio
n 4
Special In
terest Groups
11:00 –12:00 Closin
g Cerem
ony
Main
Hall
13:00 – 1
4:00 Lu
nch
13:00 – 1
4:00 Lu
nch
12:30 Packe
d lunch
13:00 –14:00 Lu
nch
12:00 –13:00 Lu
nch
14:00 – 1
6:05 Paralle
l sessio
n 1
14:00 – 1
6:05 Paralle
l sessio
n 2
12:30 Excu
rsions
14:00 –16:05 Paralle
l sessio
n 5
14:00 – 1
6:05 Po
ster presen
tations
Main
Hall Fo
yer
Dep
arture
16:05 – 1
6:35 Te
a16:05 – 1
6:35 Te
a16:05 –16:30Tea
16:35 – 1
7:35
Regio
nal m
eetin
gs
16:35 – 1
7:35 AMESA
AGM
Main
Hall
16:30 –18:00 Plenary P
anel 3
Chair: Sh
aheed
a Jaffer
Main
Hall
19:00 W
elco
me re
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19:00 Gala d
inner
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