TSG 2: New development and trends in mathematics education at secondary level

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A few copies of the paperback edition 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

Programme

Download the Proceedings of TSG2

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