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Theme:
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Timetable
for workshops:
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Day
/ Date
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Time
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Workshop
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Facilitator
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Chair
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Tuesday
(19 June 2007)
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11.30am
1.00pm
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Workshop
A: Developing Algebraic Thinking
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Assoc.
Prof. Dr. Ng Swee Fong
NIE, Singapore
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Munirah Ghazali
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2.00
3.30pm
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Workshop
B: Learning Algebra The Creative And Magical Way
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Teow
Poh Yew
Malaysian Invention and Design Society (MINDS)
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Maznah
Ali |
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4.00
5.30pm
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Workshop
C: CAS Handheld Technology Using TI-89 Titanium
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Masdatul
Azreen bt Mohammed Azizuddin
Statworks (M) Sdn Bhd (Sponsored by TI)
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Suhaidah
Tahir |
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Wednesday
(20 June 2007)
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11.30am
1.00pm
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Workshop
D: Teaching Problem Solving in Primary Mathematics
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Dr.
Yap Ban Har
NIE, Singapore
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Gan
We Ling |
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2.00
3.30pm
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Workshop
E: Creating E-activity Lessons On The Graphic Calculator
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Quek,
Wei Ching and Soon, Yee Ping
CASIO
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Ong
Hong Choon |
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4.00
5.30pm
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Workshop
F: Mathematics e-Learning Solution Through Maple: What
Really Matters?
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Assoc.
Prof. Dr. Rahidzab Talib
UiTM, Malaysia (Sponsored by i-math Sdn Bhd)
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Paul
Lau Ngee Kiong |
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Thursday
(21 June 2007)
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11.30am
1.00pm
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Workshop
G: Using Interactive Geometry (such as GSP) To Link Algebra
To The Real World
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Prof.
Kaye Stacey
Melbourne University, Australia
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Tan
Khan Aun |
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2.00
3.30pm
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Workshop
H: Childrens Strategies When Solving Mathematics Problems:
Implications To Mathematics Teaching And Learning
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Assoc.
Prof. Dr. Munirah Ghazali
USM, Malaysia
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Parmjit
Singh |
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2.00
3.30pm
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Workshop
I: Teaching Mathematics With Autograph
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Cecily
Peters
QED
(Sponsored by AUTOGRAPH)
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Justin
Valentin |
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4.00
5.30pm
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Workshop
J: Solving Real-World Mathematics Activities Using TI-84
Plus and Data Loggers
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Nurazah
bt Abdul Aziz
Statworks (M) Sdn Bhd (Sponsored by TI)
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Ong
Saw Lan |
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4.00
5.30pm
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Workshop
K: Group Dynamics To Facilitate Mathematics Learning
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Mr.
Tan Khan Aun
Majlis Guru Cemerlang Malaysia
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Fatimah
Saleh |
List
of workshops:
1. Title: Developing
algebraic thinking
Facilitator: Associate
Professor Dr Ng Swee Fong, NIE, Singapore
Target audience: Primary/secondary
school mathematics teachers
Algebra is often thought of as an abstract and difficult subject. It
is taught as a subset of secondary mathematics. Although the historical
roots of algebra lie in the study of general methods for solving equations,
the learning and hence the teaching of algebra is more that just about
solving equations. In fact, algebra and algebraic thinking are fundamental
to the basic education of all students at all levels. While arithmetic
is used to describe a static picture of the world, algebra can be used
to present a dynamic picture of the world where change is a constant.
Children at all levels, need experiences where they are engaged in algebraic
thinking and also how this can be deepened with age. In this workshop,
I will engage teachers in activities to show how algebraic thinking
can be developed in the early primary years and how these can be developed
right across the curriculum as the children mature. I hope to change
teachers' perception that algebra is something that is taught at the
secondary level. Rather teachers will leave the workshop with a broader
perspective of what constitutes algebraic thinking and hence what can
be algebra.
Top
2. Title: Using interactive
geometry (such as GSP) to link algebra to the real world
Facilitator: Professor
Kaye Stacey, Faculty of Education, Department of Science and Mathematics
Education, Melbourne
University, Australia.
Target audience: Secondary
school /tertiary mathematics teachers
Using interactive geometry to teach geometry is well established, but
it has much wider uses across the junior secondary mathematics curriculum.
I will demonstrate examples from algebra, surds, trigonometry etc developed
in our RITEMATHS project. Interactive geometry can bring real world
situations to life in the classroom. Students can use interactive models
of real situations (e.g. a ladder overhanging a house), make measurements,
plot points and use the interactive diagram to interpret algebraic expressions
and results in the real situation. This shows how good software can
bring the real world alive in classrooms, to enhance mathematical achievement
and engagement.
RITEMATHS website: http://extranet.edfac.unimelb.edu.au/DSME/RITEMATHS
Top
3. Title: Teaching Problem
Solving in Primary Mathematics
Facilitator: Assistant
Professor Dr Yap Ban Har, NIE, Singapore
Target audience: Primary
school mathematics teachers
In this workshop, participants will learn the keys to helping primary
school pupils become good problem solvers. They will learn a few heuristics
and, more importantly, big mathematics ideas and thinking habits, that
are useful in solving non-routine problems. Participants will also learn
alternative techniques to teach such as modeling and coaching. The workshop
is designed specifically for school teachers.
Top
4. Title: Group Dynamics
to facilitate Mathematics Learning
Facilitator: Mr. Tan
Khan Aun, Tun Syed Sheh Shahabudin
Secondary Science School, Malaysia (Yang Dipertua
Majlis Guru Cemerlang
Malaysia)
Target audience: Primary/secondary
school mathematics teachers
Mathematics is often considered as a tedious subject in schools. It
is more of calculations, formula, logics and graphs and so on which
involves lots of mundane paper work. Most teachers would prefer to use
traditional 'chalk and talk' approach to teach their young and energetic
pupils. Even though some of those pupils may have the brains to solve
the mathematical problems, their hearts may not be willing to do that
kind of sedentary work. This is uninteresting to those pupils who are
more predisposed to learn with bodily-kinesthetic, visual-spatial and
interpersonal intelligences. In this workshop, I will demonstrate how
teaching and learning Mathematics in the form of group dynamics can
be very enjoyable. By using group activities incorporating Cooperative
Learning strategy and the theory of Multiple Intelligences, with some
personal experience in life, teachers are capable of designing interesting
mathematics lessons which greatly enhance the process of learning. I
am positive that some of the participants will readily come up with
some creative learning activities in this workshop.
Top
5. Title: Children's
strategies when solving mathematics problems: Implications to mathematics
teaching and learning
Facilitator: Associate
Professor Dr Munirah Ghazali,
School of Educational Studies, Universiti Sains Malaysia
Target audience: Primary
school mathematics teachers
The workshop will focus on elementary school children's strategies when
solving mathematics problems. There is a great deal of variability in
the ages at which children use different strategies to solve mathematical
problems. Moreover, children of the same age display different levels
of sophistication in the strategies they use to solve a problem. Knowledge
and awareness of these strategies will enable teachers to be better
equipped to help children understand mathematics. In this workshop,
teachers will be given activities that help them reflect on their own
personal strategies in solving problems in mathematics. These strategies
will be compared against the different strategies children used in solving
the same problem. The workshop too will discuss the variability and
the levels of sophistication of the strategies that children used and
it's implication to mathematics teaching and learning.
Top
6. Title: Learning Algebra
the Creative and Magical
Way
Facilitator: Teoh
Poh Yew, Malaysian Invention and Design
Society (MINDS)
Target audience: Upper
primary and lower secondary schools mathematics teachers as well as
teacher trainers
Algebra seems to be a subject that some students find it trivial but
most find it difficult. In order to pursue mathematics to a higher level,
students must certainly learn to use algebra, but perhaps first and
foremost they should learn to see it, to discover it, to play with it
and to be surprised by it. Since our students seldom see any application
of algebra in their daily life, we, mathematic educators can develop
their interest in algebra by adopting some creative approach such as
mesmerizing them with mathematical magic. Many students have difficulty
making the transition from arithmetic to algebra. Often this difficulty
first appears when students attempt to create algebraic equations to
represent word problems. In this workshop the participants will discover
several amazing mathematical magic and card tricks that can be explained
by translating the magical phenomena into algebraic terms or equations.
To further enhance the algebraic concept learnt, mathematics educators
will see some examples as how we can prompt students to invent their
own magic or to improve on the existing magic. Mathematical Content
Covered: "Translating magical phenomena
into algebraic terms or equations", "Simplifying algebraic
expression", "Expansion and factorization", "Quadratic
equations"
Top
7. Title: Creating E-activity
Lessons on the Graphic calculator
Facilitator: Quek,
Wei Ching (Singapore Polytechnic) and
Soon, Yee Ping (Mathlodge)
Sponsor: CASIO Singapore
Pte. Ltd
Target audience: Primary/secondary
school mathematics teachers
This workshop introduces step-by-step procedure in writing e-activities
on the graphic calculator. Participants will have opportunities to have
hands-on experiences with the graphic calculator and in creating their
own e-activity lessons.
Top
8. Title: Teaching Mathematics
With Autograph
Facilitator: Cecily
Peters (QED)
Sponsor: AUTOGRAPH
Target audience: Secondary school mathematics teachers
Autograph is the signature software for secondary mathematics
education. It incorporates the 3 main principles in the teaching and
learning of Mathematics i.e. Flexibility=> reversibility => generalization.
It promotes discourse in the Mathematics classroom leading students
on to a MILE experience (Mathematics Investigative Learning Experience).
Autograph will help students with less vision to follow the 'TALK' and
able students to deepen and excite them further. The teacher too will
be motivated to generate 'mathematical thoughts' by asking students
to write out 'Their Mathematical Story' about what they see on screen.
It will help both teacher and student to see the connections between
visual representations and symbolic ones. The discourse that follows
would create the environment for the correct vocabulary to be used,
and for concepts to be internalized. This dynamic and colorful software
while generating productive mathematical dialogue among the students
would also convince them that, they, as individuals are responsible
for understanding and sharing mathematics. Autograph can be used for
the learning and teaching of Transformations, Graphs, Trigonometry,
Statistics, and 3-D activities. If correctly used it is bound to excite
secondary students in their study of Mathematics.
Top
9. Title: Mathematics
e-Learning Solution Through Maple: What Really Matters
Facilitator: Associate
Professor Rahidzab Talib
(UiTM)
Sponsor: I-MATHEMATICS
Target audience: Secondary
school/tertiary mathematics teachers
Students from the level of preschools to the tertiary have been exposed
to the advantages and disadvantages of using computers as a must have
learning tool. As a result, the demand for computer based learning or
e-learning is on the increasing and educators are being pressured to
produce and deliver them. For many mathematics educators, a quick and
easy way out to meet the demand is by reproducing, by scanning or retyping,
whatever in the textbook into the web and proudly declare that they
have produce e-learning material. There are also many attempts to produce
an interactive web based learning for mathematics but these have some
shortcomings and the users - the educators and the students, are very
much confined to the learning materials presented to them without having
any flexibility in using them. Acknowledging that there are e-learning
solutions for mathematics available where true learning can be delivered,
this paper will highlight the usage of Maple as a tool for delivering
e-learning for mathematics and mathematics related courses through the
experience of the author.
Top
10. Title: CAS Handheld
Technology Using TI-89 Titanium
Facilitator: Masdatul
Azreen bt Mohammed
Azizuddin (Statworks (M) Sdn Bhd)
Sponsor: Texas Instrument
Target audience: Secondary
school mathematics teachers
A computer algebra system (CAS) is a software program that facilitates
symbolic mathematics. The core functionality of a CAS is manipulation
of mathematical expressions in symbolic form. The primary goal of a
Computer Algebra system is to automate tedious and sometimes difficult
algebraic manipulation tasks. The principal difference between a Computer
Algebra system and a traditional calculator is the ability to deal with
equations symbolically rather than numerically. The specific uses and
capabilities of these systems vary greatly from one system to another,
yet the purpose remains the same: manipulation of symbolic equations.
Computer Algebra systems often include facilities for graphing equations
and provide a programming language for the user to define his/her own
procedures. At present, this CAS program is now embedded in a graphing
calculator. The TI-89 Titanium graphing calculator, feature a reasonably
capable and relatively inexpensive handheld computer algebra system,
featuring derivatives and integrals with respect to 1 variable, limits,
and some differential equations. The TI-89 is a new calculator that
combines numeric computation and graph plotting with symbolic computation
(computer algebra). After the numerical and the graphical pocket calculators,
the TI-89, as a symbolic pocket calculator, introduces a new dimension
in mobile mathematical problem solving. The purpose of this workshop
is to give you an overview of the mathematical capabilities of the TI-89
Titanium graphing calculator.
Top
11. Title:
Solving Real-World Mathematics Activities Using TI-84 Plus and
Data Loggers
Facilitator: Nurazah
binti Abdul Aziz (Statworks (M) Sdn Bhd)
Sponsor: Texas Instrument
Target audience: Secondary
school mathematics teachers
The graphing calculators started a revolution especially in teaching
and learning of Mathematics and Science. They are useful in allowing
students to explore mathematics numerically and graphically and thus,
encouraging the students to spend more time on understanding the mathematics
concepts and applying to real-world problems. The TI Handheld Technologies
especially the TI-84 Plus Graphing Calculators is the number one graphing
calculator not only in Malaysia but also the world. This one hour workshop
session will introduce an interesting way to explore math concepts using
TI-84 Plus Graphing Calculators together with the data collection tools.
These devices help students to collect data and use powerful analytical
features to built mathematical models. Whether you teach introductory
or advanced mathematics, you should find a large number of activities
using the TI Handheld Technologies that match the objectives of your
courses.
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