TSG 2: New development and trends in mathematics
education at secondary level
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of the Proceedings of TSG2 (booklet of 150 pages) are still available
for the price of 10 euro/booklet (for more information or for buying
a copy, please contact Dirk De Bock, dirk.debock@avl.kuleuven.ac.be).
Team Chairs
Dirk de Bock, Center for Instructional Psychology and Technology, Catholic
University of Leuven, and EHSAL - European Institute of Higher
Education, Brussels
Address: Vesaliusstraat 2, B-3000 Leuven, Belgium
dirk.debock@avl.kuleuven.ac.be
Masami Isoda, Center for Research of International
Cooperation in Educational Development & Institute of Education,
University of Tsukuba
Address: Tennodai 1-1-1, Tsukuba-shi 305-8572, Japan
msisoda@human.tsukuba.ac.jp
Team Members
Juan Antonio Garcia Cruz, Department of Mathematical Analysis, (Didactics
of Mathematics), University of La Laguna, Spain
jagcruz@ull.es
Athanasios Gagatsis, Department of Education, University
of Cyprus
gagatsis@ucy.ac.cy
Elaine Simmt, Department of Secondary Education,
University of Alberta, Canada
elaine.simmt@ualberta.ca
Aims and Focus
Several movements characterized secondary mathematics
education during the past decades. Most of them are deeply related to
changing societies and technological worlds and at the same time, they
are often inspired by the results of leading research in mathematics
education. There is much diversity in mathematics education research
depending on communities and academic societies in the world, but the
common aim of mathematics education research has been improving on curricula,
teachers’ practices, students’ learning, evaluation and teachers’ education.
There are several trends and projects in the world that might influence
the reform of mathematics education at the secondary level:
- Policy, curriculum or textbook developmental research;
- Developing the teaching practices based on classroom research such
as lesson studies and the development of teaching-learning environments
for mathematics using new technologies;
- The results and the impact of International Comparative Studies such
as TIMSS and PISA.
In Topic Study 2, "New developments and trends in mathematics
education at the secondary level", the focus might be on the next
movements in mathematics education at secondary level. TSG2 focuses
on the following (not exhaustive) list of topics:
1. Research projects for curriculum development having the potential
to influence mathematics education in the next decades;
2. Policies of secondary schools’ reforms having the potential for new
trends in secondary mathematics education;
3. Developmental studies of teaching new contents in mathematics;
4. Developmental studies of new ways of teaching mathematics;
5. Influential research results in mathematics education for secondary
school level.
Programme
First
session (chair: Dirk De Bock):
keynote presentations by
| 12.00-12.10:
Dirk De Bock: Welcome address and introduction of the plenary
speakers |
12.10-12.25: Paul Drijvers (Freudenthal Institute, the Netherlands) |
Title:
The integration of technology in secondary mathematics education:
a future trend or an utopia?
Abstract:
Since more than 30 years, educationalists involved in secondary
mathematics education claim that the integration of technology
will change mathematics education, its goals, its pedagogy, its
curriculum and its assessment. However, so far the influence of
technology seems to be limited. In order to discuss the possible
contribution of technology to the teaching and learning of mathematics,
we first look back in a retrospective, then draw up an inventory
of the current 'state-of-the-art' and finally try to identify
major factors which determine the future success of the integration
of technology.
|
12.25-12.40: Florence Glanfield (University of Saskatchewan, Canada)
|
Title:
Secondary Mathematics Education Curriculum Developments: A Canadian
Perspective
Abstract:
Each of the 10 provinces and 3 territories in Canada are responsible
for designing a 'curriculum' for their secondary mathematics classrooms.
This curriculum development is ever changing. I will describe
the current trends, the background to the trends, and pose some
possibilities for the future of secondary mathematics curriculum
development in Canada.
|
12.40-12.55: Ross Turner (Australian Council for Educational Research,
Australia) |
Title:
PISA and Secondary Mathematics Education
Abstract:
The
OECD’s Program for International Student Assessment is an
international comparative study that has the potential to
influence secondary mathematics education policy and practice.
Some of the objectives and features of PISA are outlined,
comparisons with TIMSS are briefly discussed, some results and
outcomes are presented regarding the impact of PISA on
mathematics education, and some limitations of PISA are briefly
explored.
|
| 12.55-13.00: Dirk De Bock: Closing
word
|
Second
session (chair: Athanasios Gagatsis): Curricular developments and new contents
| 12.00-12.05: Athanasios Gagatsis:
Welcome and introduction of the presenters of a paper |
12.05-12.15: Guo Rong Xu and Stephan Lerman (London South Bank
University, UK) |
Title:
The small tip of a large iceberg? The problems in Chinese education
reform
Abstract:
In China, a mathematics education reform, influenced by Western
educational ideologies and focused at changing the classroom practice,
has been initiated by the government. However, this reform, like
previous reforms in Chinese mathematics education seems to be
unable to effectively implement substantial changes in mathematics
classroom practices. This study looked at the actual impact of
the reform on classroom practice and attempted to identify and
analyse some factors that hindered it. |
12.15-12.25: Kwok-cheung Cheung (University of Macau, China) |
Title:
New development in mathematics education at obligatory education
level in People's Republic of China
Abstract:
China’s mathematics curriculum reform has been actively underway
since the turn of the century. This paper seeks to introduce new
developments in mathematics education at the obligatory education
level (grade 1-9) based on the Mathematics Curriculum Standards
(Experimental
Version) released by the Ministry of Education of People’s Republic
of China. Basic concepts, design considerations, curriculum objectives,
curriculum contents, curriculum implementatio and mathematics
background knowledge recommendations are explicated in detail. |
12.25-12.35: Maitree Inprasitha (Khon Kaen University, Thailand) |
Title:
Movement of lesson study in Thailand
Abstract:
Influencing from the TIMSS video analysis, studying on Japanese
classroom is very interesting for researchers and educators from
various part of the world. Lesson study, a Japanese form of professional
development, is a well-known approach to improve teacher practice.
The paper will introduce how to use lesson study in another initiative.
That is, to use lesson study improves the new launched 5-year
program for producing mathematics teachers at the faculty of education
in Thailand. |
12.35-12.45: Sofia Anastasiadou (Aristotle University of Thessaloniki,
Greece) |
Title:
Perceptions, attitudes and conducts of the Greek mathematicians
for statistics in secondary education
Abstract:
The objective of this research was the definition and the determination
of the perceptions - attitudes and conducts of the mathematicians
in Secondary Education for statistics. In conclusion, we could
say that the mathematicians show both positive and negative attitudes
and representations towards statistics. The negative attitudes
are a product of the durable absence of teaching this science,
which that possibly creates repugnance, anxiety and disdain towards
this science. |
12.45-12.55: Allan Tarp (Grenaa International Baccalaureate, Denmark) |
Title:
Adding per-numbers
Abstract:
To solve the relevance paradox in mathematics education this papers
uses postmodern sceptical Cinderella research to look for new
ways to teach mathematics at the secondary school. The paper introduces
addition of per-numbers as a more user-friendly approach to the
traditional subjects of proportionality, linear and exponential
functions and calculus. |
| 12.55-13.00: Athanasios Gagatsis: Closing
word |
Third
session (chair: Juan Antonio Garcia Cruz):
Learning from research and classroom practice
| 12.00-12.05: Juan Antonio Garcia
Cruz: Welcome and introduction of the presenters of a paper |
12.05-12.15: Wim Van Dooren, Dirk De Bock, An Hessels,
Dirk Janssens and Lieven
Verschaffel (University of Leuven, Belgium) |
Title:
Studying and remedying secondary school students' modelling skills:
A case study
Abstract:
Recent curricular documents in many countries underline the role
of modelling in secondary mathematics education. However, educational
practice and research in the last decades uncovered many difficulties
and systematic errors that may cross students’ learning of a mathematical
modelling disposition. This paper reports on a research-based
teaching experiment with 8th graders aimed at remedying one of
these errors, namely students’ tendency to see and apply the linear
model everywhere. |
12.15-12.25: Modestina Modestou and Athanasios Gagatsis (University of Cyprus,
Cyprus) |
Title:
Students' improper proportional reasoning: A multidimensional
statistical analysis
Abstract:
In this paper, we investigate the predominance of the linear model
in 12-13 year old Cypriot students, while solving non-proportional
word problems involving area and volume of rectangular figures.
Using three different kinds of tests, related to the context of
the word problems presented, we attempt to identify a differentiation
in students’ responses. Two different statistical analyses are
implemented to the data: Factor analysis and the Implicative statistical
analysis. Both statistical analyses suggest the same grouping
of students’ responses and confirm the existence of improper proportional
reasoning. |
12.25-12.35: Yuriko Yamamoto Baldin, José Antonio Salvador
and Pedro Luiz Aparecido Malagutti (Universidade Federal de São
Carlos, Brazil) |
Title:
Developing interdisciplinary activities in secondary school classrooms
Abstract:
We report on Project Pró-Ciências carried out by
Universidade Federal de São Carlos, Brazil, in 2001 and
2002, with collaboration of basic school authorities and governmental
educational agencies, aiming the professional development of secondary
school teachers, updated with modern requirements of school curriculum.
The project was grounded on National Curriculum Standards and
focused the understanding, planning and execution of interdisciplinary
activities, connecting Mathematics to other Sciences and the real
world. |
12.35-12.45: Jiansheng Bao (Soochow University, China) |
Title:
A comparative study on composite difficulty between new and old
Chinese math textbooks
Abstract:
If one compares the old middle school maths syllabus to the newly
published National Mathematics Standards one can notice numerous
changes both to curriculum and to mathematics contents. In fact,
these new standard-based maths textbooks are being used in experimental
districts in China. However, these changes may lead us to ask
the following questions: What precisely are the differences between
the new and old maths textbooks? How do these differences affect
the styles of both mathematics teaching and learning? In order
to answer these questions, this paper uses a model developed by
the author to evaluate the composite difficulties of new and old
eighth grade maths textbooks using five factors of difficulty
so as to highlight some initial findings. |
12.45-12.55: Alexander Khait (Jerusalem College of Engineering,
Israel) |
Title:
An important point in the space of mathematics education
Abstract:
This paper considers new content for secondary school mathematics
education, associated with linguistic abilities of text understanding
and formulation. In practical terms it is translated to teaching
logic and algorithms. Two major problems of this program are isolated
and a teaching tool is suggested. The psychological framework
for the program is presented. |
| 12.55-13.00: Juan Antonio Garcia Cruz:
Closing word |
Fourth
session: General discussion initiated by the members of the organizational
team
First part (chair: Masami
Isoda): Short (5-10 minutes) introductions by:
| Masami Isoda:
Welcome word |
| Dirk De Bock:
Mathematics education in the 21st century: New trends and
developments |
| Masami Isoda:
Mathematics activity as a human endeavor project: Exploring
secondary school mathematics via historical and innovative tools |
| Elaine Simmt:
The illusion of linearity and new trends in secondary education |
| Athanasios
Gagatsis: The role of representations in secondary mathematics
education |
| Juan Antonio
Garcia Cruz: A reflection on some aspects of mathematics and
mathematics education |
Second part (chair and
moderator: Elaine Simmt): General panel discussion
|
|