Doorman, L.M. (2009) Emergent modeling: discrete graphs to support the understanding of change and velocity (Publications)
Secondary education, research, |
Heuvel-Panhuizen, M. van den (2009) Mathe-Didactical Reflections on Young Children's Understanding and Application of Subtraction-Related Principles (Publications) |
Wijaya, A. (2008) Design Research in Mathematics Education: Indonesian Traditional Games as Means to Support Second Graders' Learning of Linear Measurement (Publications)
Research, scientific, |
Sembiring, R.K. (2008) Reforming mathematics learning in Indonesian classrooms through RME (Publications)
RME, primary education, scientific, |
Eerde, H.A.A. van (2008) Interaction in two multicultural mathematics classrooms. Processes of Inclusion and Exclusion (Publications)
Primary education, secondary education, research, |
Heuvel-Panhuizen, M. van den (2008) Learning From ìDidactikidsî: An Impetus for Revisiting the Empty Number Line1 (Publications) |
Bakker, A. (2008) Statistical inference at work: Statistical process control as an example (Publications)
Research, |
Doorman, L.M. (2008) A historical perspective on teaching and learning calculus (Publications)
Secondary education, research, |
Bakker, A. (2007) Diagrammic reasoning and hypostatic abstraction in statistics education (Publications)
Research, |
Heuvel-Panhuizen, M. van den (2005) Can scientific research answer the 'what' question of mathematics education? (Publications)
This paper problematizes the issue of how decisions about the content of mathematics education can be made. After starting with two examples where research in mathematics education resulted in different choices on the content of primary school teaching... |
Doorman, L.M. (2005) Modelling motion: from trace graphs to instantaneous change (Publications)
Doel van het onderzoek is om na te gaan hoe het wiskundig modelleren van natuurwetenschappelijke probleemsituaties kan worden vormgegeven ten behoeve van het leren van de beginselen van calculus en kinematica. Hierbij gaat het om een leergang in ... |
Boon, P.B.J. (2005) Chaining operations to get insight in expressions and functions (Publications)
This paper reports on a teaching experiment that is part of a small, ongoing research study on the use of Java for the learning of algebra. The didactical background of one applet is described, ... |
Gravemeijer, K.P.E. (2005) RF01: THE SIGNIFICANCE OF TASK DESIGN IN MATHEMATICS EDUCATION: EXAMPLES FROM PROPORTIONAL REASONING (Publications)
In the context of the overall focus of PME29 on Learners and Learning Environments, we have chosen the topic of pedagogical task design for this Research Forum. We see task design as a crucial element of ... |
Bakker, A. (2005) Celia Hoyles on Freudenthal - an interview (Publications)
Last year, Celia Hoyles received the first Hans Freudenthal Award for a cumulative programme of research in mathematics education. Celia Hoyles studied mathematics at the University of Manchester. She began her career as a ... |
Heuvel-Panhuizen, M. van den (2005) Mathematics standards and curricula in the Netherlands (Publications)
This paper addresses the question of what mathematics Dutch students should learn according to the standards as established by the Dutch Ministry of Education. The focus is on primary school and the foundation phase of secondary school.... |
Drijvers, P.H.M. (2004) Classroom-based Research in Mathematics education. Overview of doctoral research (Publications)
In this booklet we have brought together summariesofaseries of doctoral studies on realistic mathematics education(RME), carried out at the FreudenthalInstitute or by researchers affiliated to the FreudenthalInstitute. Together, these give ... |
Drijvers, P.H.M. (2004) Classroom-based research in mathematics education. Overview of doctoral research published by the Freudenthal Institute 2001- 2004 (Publications)
Research, |
Scherer, P. (2004) Een wereld van verschillen, differentiatie in het reken-wiskundeonderwijs (Publications)
The article focuses on the learning processes of low achievers in mathematics, especially on the topics multiplication and division. |
Reeuwijk, M. van (2004) Dot Patterns and Number Strips. Investigating regularity with applets (Publications)
Algebraic patterns and regularities is a common topic in middle-grades mathematics. Almost all curricula include activities that investigate patterns and regularities. This topic elicits relevant mathematical activity (discovering and describing regularity)... |
Heuvel-Panhuizen, M. van den (2004) International Perspectives on Learning and Teaching mathematics (Publications)
Primary education, research, scientific, |
Reeuwijk, M. van (2004) School Algebra Struggle, what about algebra computer games? (Publications)
For many students, traditional (school) algebra is formal and abstract. This algebra deals with symbols and letters, and at some point students who want to move on in mathematics and ... |
Keijzer, R. (2004) Reinvention evisited; learning and teaching decimals as example (Publications)
Twenty years ago Freudenthal described learning as process of guided reinvention, where students to a certain point recapitulate the learning process of mankind. This paper takes this idea as starting-point for the teaching of ... |
Jonker, V.H. (2004) KidsKount. Mathematics games for realistic mathematics education in primary school (Publications)
Educational games on the computer can enrich the mathematics lessons in primary education. For this purpose the Freudenthal institute (Utrecht University) has developed a special educational website (www.kidskount.nl... |
Heuvel-Panhuizen, M. van den (2004) All or nothing: Problem solving by high archievers in mathematics (Publications)
Primary education, research, scientific, |
Bakker, A. (2004) Reasoning about shape as a pattern in variability (Publications)
This paper examines ways in which coherent reasoning about key concepts such as variability, sampling, data, and distribution can be developed as part of statistics education. Instructional activities that could support such ... |
Heuvel-Panhuizen, M. van den (2003) The learning paradox and the learning miracle: thoughts on primary school mathematics education (Publications)
It is characteristic for the discussions about the new forms of learning that they are far removed from the core of the learning process. In contrast, in this contribution learning will be reconsidered from what is ... |
Gravemeijer, K.P.E. (2003) Learning About Statistical Covariation (Publications)
In this article, we report on a design experiment conducted in an 8th grade classroom that focused on students' analysis of bivariate data. Our immediate goal is to document both the actual learning trajectory ... |
Bakker, A. (2003) The Early History of Average Values and Implications for Education (Publications)
The early history of average values is used as a source of inspiration for instructional design in middle-school classrooms. This historical study helps to define different layers, aspects, and applications of average ... |
Keijzer, R. (2003) Teaching formal mathematics in primary education (Publications)
This study focuses on learning mathematics in an RME-context. Moreover, it considers the developmental process leading to an RME fraction programme. This study therefore is about constructing and teaching mathematics. ... |
Bakker, A. (2003) Design research on how IT may support the development of symbols and meaning in mathematics education (Publications)
This paper sketches the methodology and some results of three studies that were part of a comprehensive research project called 'IT and mathematics education'. With the theory of Realistic Mathematics Education as a background... |
Heuvel-Panhuizen, M. van den (2003) The didactical use of models in realistic mathematics education: An example from a longitudinal trajectory on percentage (Publications)
The purpose of this article is to describe how, within the Dutch approach to mathematics education, called Realistic Mathematics Education (RME), models are used to elicit students' growth ... |
Drijvers, P.H.M. (2003) Learning algebra in a computer algebra environment. Design research on the understanding of the concept of parameter (Publications)
The project 'Learning algebra in a computer algebra environment' reported upon here is a case of research on the integration of information technology into education, and on its influence on the learning of mathematics ... |
Bakker, A. (2003) Reasoning about shape as a pattern in variability (Publications)
This paper focuses on the key concepts of variability, sampling, data, and distribution. The main question of the research presented here was, how do we promote coherent reasoning about variability... |
Heuvel-Panhuizen, M. van den (2003) Guides for didactical decision making in primary school mathematics education: the focus on the content domain of estimation (Publications)
What mathematics should we teach our students and how should this mathematics be taught? These questions can be considered as the key questions of mathematics education. Although the nineties can be seen as the decade of ... |
Doorman, L.M. (2003) Modelling motion for the learning of calculus and kinematics (Publications)
In this paper we present results of a design research project on modelling and symbolizing in mathematics education. With symbolizing we refer to theories on how we create, use and adapt symbols and how this relates ... |
Heuvel-Panhuizen, M. van den (2003) Second International Handbook of Mathematics Education (Publications)
In this chapter we compare and contrast the didactic and psychometric models of assessment design. We begin with background information and an introduction to assessment, and then the relationship between goals of mathematics education and assessment ... |
Drijvers, P.H.M. (2003) Computer algebra systems in secondary school mathematics education (Publications)
In this chapter, I investigate the relationship among computer algebra use, traditional paper-and-pencil work, and algebraic thinking by interpreting students' behavior from a theoretical perspective. The ... |
Amerom, B. van (2002) Reinvention of early algebra (Publications)
Several research projects of recent years report on learning difficulties related to algebraic equation solving. These difficulties include constructing equations from arithmetical word problems, as well as interpreting, rewriting and simplifying algebraic expressions.... |
Gravemeijer, K.P.E. (2002) ICOTS-6 Proceedings (Publications)
Statistiek en kans, Onderwijstheorie, StatistiekKansrekening, research, scientific, |
Kooij, H. van der (2002) Algebra: A Tool for Solving Problems? (Publications)
Algebra is often seen as a powerful tool both for the modeling of problem situations and for manipulating the symbolic representation of the problem situation. These two different aspects of algebra (modeling and solving) ... |
Bakker, A. (2002) Proceedings of the International Conference of Teaching Statistics, Cape Town, South-Africa (Publications)
This paper contrasts two types of educational tools: a route-type series of so-called statistical minitools (Cobb et al. 1997) and a landscape-type construction tool, ... |
Heuvel-Panhuizen, M. van den (2002) Common sense in Mathematics education. Proceedings of 2001 The Netherlands and Taiwan Conference on Mathematics Education, Taipei, Taiwan, 19 - 23 November 2001 (Publications)
This lecture addresses several ìprogressî issues related to the Dutch approach to mathematics education, called ìRealistic Mathematics Educationî (RME). The most important of these ... |
Kooij, H. van der (2002) Common sense in Mathematics education (Publications)
Through a curriculum reform project for vocational education at senior high school level (age 16 - 20), a new mathematics program is designed with two main aims: making mathematics really ... |
Carr, K. (2002) When students create mathematical activities (Publications)
Students aged 10 to 12 were each asked to write one page of mathematical activities for their peers on two different occasions during the year. The pages were to form a booklet that might help other students their ... |
Dekker, T. (2002) Great assessment problems (Publications)
In this book we will try to clarify the underlying reasons and arguments the teacher may use implicitly when designing or assessing a test to be given to students. There will be many examples, questions,... |
Drijvers, P.H.M. (2002) Learning mathematics in a computer algebra environment: obstacles are opportunities (Publications)
Using computer algebra is not as easy as it may seem. Students often encounter obstacles while working in a computer algebra environment. In this paper, global and local obstacles are distinguished, and ... |
Reeuwijk, M. van (2001) Proceedings of the 12th International Commission on Mathematical Instruction (ICMI) Study Conference 'The Future of the Teaching and Learning of Algebra' (Publications)
This paper deals with the concept progressive formalization as one of the features of the theory of Realistic Mathematics Education. The concept is exemplified by the results of a study on the learning and teaching of solving ... |
Drijvers, P.H.M. (2001) Proceedings of the 12th International Commission on Mathematical Instruction (ICMI) Study Conference 'The Future of the Teaching and Learning of Algebra' (Publications)
The study that is presented here concerns the learning of algebra in a computer algebra environment and, more specific, the learning of the concept of parameter. Students of 14 ñ 15 years ... |
Kooij, H. van der (2001) Algebra, a tool to solve problems (Publications)
Algebra is often seen as a powerful tool both for the modeling of problem situations and for manipulating the symbolic representation of the problem situation. These two different aspects of algebra (modeling and solving) ... |
Doorman, L.M. (2001) How to guide students? A reinvention course on modeling movement (Publications)
In reform mathematics the constructions of students play an important role, in contrast with the traditional view in which teaching mathematics was seen as a process of teaching mathematics according to a pre-designed hierarchy. ... |
Heuvel-Panhuizen, M. van den (2001) Didactics of Mathematics and Informatics in Education. 5th Panhellenic Conference with International Participation (Publications)
Primary education, research, scientific, |
Wijers, M.M. (2001) Proceedings of the 12th International Commission on Mathematical Instruction (ICMI) Study Conference 'The Future of the Teaching and Learning of Algebra' (Publications)
In the Netherlands, the mathematics curriculum for lower secondary has been modernised since 1992 and reflects a realistic approach to mathematics. For algebra this means that the focus is more on using algebra than on studying ... |
Bakker, A. (2001) Proceedings of the 25th conference of the International Group for the Psychology of Mathematics Education (PME) (Publications)
In this paper we analyze how concepts and symbolizations co-develop in the case of statistical data analysis. The focus is on the development of distribution, which ranges from a very concrete intuitive understanding to ... |
Kooij, H. van der (2001) Proceedings of the 12th International Commission on Mathematical Instruction (ICMI) Study Conference 'The Future of the Teaching and Learning of Algebra' (Publications)
Algebra is a very important topic in mathematical programs for upper secondary education, but a vast majority of students is weak in understanding and using formal algebraic tools. This paper discusses some ideas about using the ... |
Boswinkel, N. (2000) Rekennet presentatie algemeen-engels (powerpoint) (Publications)
Primary education, scientific, |
Drijvers, P.H.M. (2000) Instrumentation of ICT-tools: the case of algebra in a computer algebra environment (Publications)
This paper describes a classroom experiment using hand held computer algebra for the learning of algebra. During a five week period students of the ninth grade (14-15 years old) used a symbolic ... |
Kooij, H. van der (2000) What mathematics is left to be learned (and taught) with the Graphing Calculator at hand? (Publications)
An important question that arises with the introduction of the GC (Graphing Calculator) in classroom: what is the influence of the GC on the teaching and learning of mathematics. In this paper ... |
Boswinkel, N. (2000) Counting on the RekenNet (Publications)
The RekenNet is a project that aims to support primary school teachers in their task to teach realistic mathematics. The project started in 1998 and is sponsored by the Government of Education. |
Drijvers, P.H.M. (1999) Students encountering obstacles using CAS (Publications)
The paper describes a pilot study on the use of computer algebra at upper secondary level. A symbolic calculator was introduced in a pre-examination class studying for advanced pre-university mathematics. With the ... |
Kooij, H. van der (1999) Modeling and algebra: how 'pure' shall we be? (Publications)
For a number of years applications and modeling activities are an important part of the Dutch High School curricula. Since the HEWET project (early 80's) real life problems are both starting point ... |
Lange, J. de (1999) Framework for classroom assessment in mathematics (Publications)
The aim of classroom assessment is to produce information that contributes to the teaching and learning process and assists in educational decision making, where decision makers include students, teachers, parents, and administrators... |
Streefland, L. (1999) Uncertainty, a metaphor for mathematics education (Publications)
The present contribution urges an uncertainty principle for mathematics education, with special emphasis upon assessment. We need to open space for creativity and improvement, once we recognize the impossibility of precise testing in the ... |
Nelissen, J.M.C. (1999) Teaching and Learning Thinking Skills (Publications) |
Heuvel-Panhuizen, M. van den (1998) Social Justice and Mathematics Education (Publications)
Twenty five years ago, in The Netherlands the first steps were taken towards the reform of mathematics education, which later became known as ìRealistic Mathematics Educationî (RME).... |
Verhage, H.B. (1997) Mathematics Education and Assessment (Publications)
In a changing society changes in education will also take place. Mathematics education is changing rapidly in a number of countries as is represented in documents which are produced to formulate the principles, aims and goals ... |
Galen, F.H.J. van (1997) Computer tasks and class discussion in mathematics (Publications)
Almost all mathematical problems can be solved in more than one way. One of the core ideas of Realistic Mathematics Education is that children develop mathematical knowledge by comparing their own solutions to problems with those of other ... |
Heuvel-Panhuizen, M. van den (1996) Assessment and realistic mathematics education (Publications)
This book describes the consequences of Realistic Mathematics Education (RME) for assessing students' understanding of mathematics in primary school. RME is the Dutch answer to the worldwide need to reform mathematics education... |
Goffree, F. (1995) Standards for Mathematics Education (Publications)
Standards for Mathematics Education is a translation of a portion of 'Proeve van een nationaal programma rekenen-wiskunde & didactiek op de pabo', a Dutch publication containing standards for the subject ... |
Reeuwijk, M. van (1995) The role of realistic situations in developing tools for solving systems of equations (Publications)
The title of this paper contains many words; They just fit on one line. To address all these issues ñ "realistic situations", "developing",... |
Lange, J. de (1995) Reform in school mathematics (Publications)
Aspects of and problems with new and innovative kinds of assessments are discussed in detail including many actual examples in; T.A. Romberg (ed.), Reform in School ... |
Reeuwijk, M. van (1992) The Standards Applied: Teaching Data Visualization (Publications)
Statistiek en kans, StatistiekKansrekening, secondary education, |
Doorman, L.M. (1992) Using the computer in space geometry (Publications)
The space geometry curriculum for the higher grades in The Netherlands is changed. Instead of vector algebra as in the past, more attention is paid to the training of the pupil's spatial imagination.... |
