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DOING GENDER IN MATHEMATICS EDUCATION: INTENTIONS OF RESEARCH IN DENMARK AND NORWAY Tine Wedege Malmö University, Sweden, and Norwegian University of Technology and Science, Norway <tine.wedege(at)lut.mah.se> Abstract: Since the beginning of 1990s, the international debate on gender in mathematics education has been reflected in a series of conferences held in Denmark and Norway, and the teachers/researchers have also participated in the Swedish “Mathematics and women” conferences. However, there are very few studies in Denmark and Norway designed with the main purpose of investigating gender and mathematics. In this article, a framework is presented for analyzing gender perspectives in mathematics education (structural, symbolic, personal and interactional gender). The Danish and Norwegian work is presented with references to the four perspectives and the gender issue in TIMSS and PISA is briefly discussed. The main thread in the article is the researchers’ willingness and intentions of investigating the “doing gender” in mathematics education: There are intentions of research but – so far – they have not been realized in Denmark and Norway. Gender mainstreaming is a principle that means bringing gender thinking into the main stream – into all decision making and organizational (…) work. Many have used the image of gender equality as something that flows in its own tributary. Through gender mainstreaming, equal opportunities are brought into the main stream – i.e. the ordinary organizational and political efforts. (Danish Trade Union Movement, 2003) 1. Gender as a dimension or a background variable If you agree with the view of mathematics education research as “the collective effort to study and to shape the relationship between humans, on the one hand, and mathematics, on the other.” (Fischer, 1993 p. 113) and if you realise that this relationship has a societal dimension as well as a cognitive and an affective dimension, then you must acknowledge gender as a key dimension. However, in every scientific study on mathematics education it is necessary to reduce the complexity of the problem field. The researcher chooses – consciously or unconsciously – to do without a series of factors and dimensions in order to undertake his or her investigation, and gender is one of the variables or dimensions to decide upon. Two principles might be used for removing the gender perspective: Would it be appropriate as regards validity and reliability of the study? Is it appropriate to investigate this particular problem without involving a gender perspective? Is gender a relevant or even necessary variable/dimension in the study? Would it be legitimate to (dis)regard the gender issue – taking into account that the principle of gender mainstreaming (i.e.: the recognition of what we have so far considered to be the standard – or the usual approach) is not necessarily gender neutral? In both cases one should examine if the gender dimension might influence the situation to be investigated. Thus, the two principles lead to the same choice concerning the gender perspective in a study on mathematics education: whether to involve gender as a dimension or a variable or not. The theme of this article is “Research on gendered mathematics – a Danish/Norwegian perspective.” Whether the issue is gender difference or gender equity, in the Nordic countries, the issue behind will always be equal opportunities. Since 1991 a series of conferences is held in the two countries with focus on gender, and teachers/researchers also participated in the Swedish “Mathematics and women” conferences in the period from 1990 up to now. However, there are very few Danish and Norwegian studies dealing with mathematics education, which are designed with the main purpose of investigating gender and mathematics. The other papers in the Nordic gender conference proceedings were either presentations of women in mathematics research, mathematics educational systems in Denmark and Norway, or results from mathematics education research where gender – mostly as a background variable – was brought into focus for these special occasions. The same picture comes up in the “Nordic Studies in Mathematics Education” (19932006): In none of the 11 volumes of the journal you find a Danish or Norwegian article with focus on gender. However, I have detected intentions of people in the field to do research with gender as a main focus. In this article, I will present four perspectives for analyzing gender in mathematics education (structural, symbolic, personal and interactional gender). Within a model inspired by Kaiser and Rogers, I discuss the Danish and Norwegian papers presented at the Nordic gender/women and mathematics conferences with reference to the four perspectives. Furthermore, I briefly present and discuss some of the findings on gender in TIMSS and PISA. Finally, I conclude with a question on future directions. To start with, I have a short comment on terminology. In the 1990s, a transition took place in the debate on women and mathematics: from using the word “sex” with focus on biological aspects, the debate turned to “gender” with a focus on the sociological aspects (see e.g. Burton, 1990; Kaiser & Rogers, 1995, Hanna, 1996; Hanna & Grevholm, 1995; Leder, Forgazs & Solar, 1996). Today in the Swedish discourse on gender and education, a clear distinction is made between the two terms sex (kön), which refers to female and male, biological differences, chromosomes; hormonal profiles; versus gender (genus), which refers to feminine and masculine, characteristic and culture dependent traits attributed by society to men and women. In Denmark and Norway we do not mark this difference explicitly in the educational discourse. The Danish word is “køn” and the Norwegian “kjønn”. In this article, the English word gender is used with the meaning of “genus”, unless the Norwegian or Danish word applied or the meaning of the word in the paper presented is in fact “sex”. 2. Doing gender in mathematics education According to Kaiser (2003) the social construction of gender forms the theoretical base of many new empirical studies dealing with the topic Mathematics and Gender. In the pioneering article “Doing gender”, West and Zimmerman (1987) presented an understanding of the interactional work involved in being a gendered person in society. In this context, doing gender means “creating differences between girls and boys and women and men, differences that are not natural, essential or biological” (p. 136). When the differences have been constructed, they are used to reinforce the nature of gender. According to West and Zimmerman a person’s gender is not simply an aspect of what one is, but more fundamentally it is something that one does recurrently in interaction with others. In this article, I refer to four aspects of “doing gender” which are presented and used by Harriet Bjerrum Nielsen (2003) in a European study of gender in scouting. In this framework, “doing gender” also includes action and interaction and furthermore being gendered and interpreting gender. 2 Together with the Norwegian Moncia Rudbjerg, Nielsen1 has distinguished two aspects of psychological gender: gendered identity (I am a woman/man hence I act like I do) versus gendered subjectivity (I am me hence I act like I do)2. The gendered identity is something you have while the gendered subjectivity is something you are. It was their hypotheses that gendered identity is a changing phenomenon while gendered subjectivity shows much more continuity, both historically and in the life of the individual (Bjerrum Nielsen & Rudberg, 1989). Girls choosing to be a nurse might do it both because it confirms their gendered identity (It is feminine to help others), and because their gendered subjectivity has the effect that they feel in fact that it is meaningful and confirmatory to them as persons to help others. While boys choosing to study mathematics might do it because it confirms their gendered identity (It is masculine to do mathematics), and because their gendered subjectivity has the effect that they feel in fact that it is meaningful and confirmatory to them as persons to be occupied with mathematics. The question “What is gender?” might at first look as an easy one to answer. Of cause “gender” means men and women, boys and girls, and all the differences between them. However, the question is much more complex as the examples of gendered choices of career have showed. We do not only assign gender to people with a different sex but also to colours, jobs, school subjects, clothes and leisure activities. In order to study different dimensions of the gender issue, Bjerrum Nielsen includes four perspectives: structural, symbolic, personal and interactional gender. For a first illustration of these perspectives, I have translated an episode with a pink rubber in the mathematics classroom from a similar episode with a pink soapbox observed in the European project on ”gender in Scouting” (Bjerrum Nielsen, 2003 p. 10): The mathematics teacher asks Niels to rub out a diagram in his exercise book. Niels inquires if any one has a rubber. Anne fetches her rubber, gives it to him, and he teases her because it is pink. Anne was teased in the mathematics classroom because of her pink rubber. Would this have happened if the rubber was blue or yellow? Gender exists in the world and in people’s head as mental models, and what we perceive as gender is always a product of an ongoing interaction between “gender in the head” and “gender in the world”. The episode with the pink rubber illustrates how girls are doing services to boys in the mathematics classroom (structural gender); that femininity is not a highly praised value in this context (symbolic gender); that Anne seams eager to serve the boys, while Niels seams eager to push femininity away (personal gender); and finally how Niels positions Anne, and she gets feedback on limits of “doing femininity” in the mathematics class room (interactional gender). The first perspective is structural gender: gender constitutes a social structure where for example men and women are unevenly distributed in terms of education and occupations; men earn more than women, who also hold fewer leading positions in society; women do more housework in most families. Another example of structural gender is a clear division of gender in the Danish technical schools of the 1990s (Hansen, 1991, 2000). The higher secondary level with technical mathematics and physics (called “TX”) and the vocational educations in metal and building industries were mainly chosen by boys while vocational educations like hairdresser and “sandwich maker” were primarily chosen by girls. Harriet Bjerrum Nielsen is a professor at the Centre for Women’s Studies and Gender Research at the University of Oslo. In the early 1980s, she did her Ph.D. in Denmark where she was one of the very first to study classroom activities from a gender perspective. 2 Originally, the aspects were named ”gender identity” and ”gendered subjectivity”, but later Nielsen has changed the term into gendered identity to make visible the possible change. 1 3 The second perspective is symbolic gender: the gendered structures gradually form the gender symbols and discourses (symbolic meaning) in people’s head. It becomes for example normal and natural that men take the leading positions in society while women have part time jobs to take care of home and family. “Thus, symbolic gender will have consequences for the further development of structural gender, and vice versa.” (Bjerrum Nielsen, 2003, p. 18). Doing gender is also interpreting gender. Quantitative methods have been used internationally to investigate structural and symbolic perspectives on gender in mathematics education, mainly in terms of gender differences. From the mid 1970s, Fennema and Sherman’s Mathematics Attitudes Scales (MAS) were used to measure gender differences in, for example, self-confidence, mathematics anxiety and ideas of mathematics. In the late 1990s Forgasz and Leder (1999) re-examined the scales and showed that several items of the “Mathematics as a Male Domain” scale were no longer valid. When the scale was developed there was no reason to believe that mathematics could be considered as a female domain, and a negative response to the items was interpreted as an attitude to mathematics as a neutral domain. Forgasz and Leder suggested that low scores on this scale could no longer be interpreted as a reflection of stereotyping of mathematics as a male domain. On this background, the scale was revised into a “Who and Mathematics” scale and it was tested in a Swedish study, where the revision showed up to be a relevant (Leder and Brandell, 2004, See also Brandell, Nyström and Lundqvist in this issue). Structural and symbolic gender tells us what is normal and what is deviant for men and women, girls and boys whether we personally consent to these norms or not. Gender becomes a framework of interpretation. In the Danish technical school in the beginning of the 1990s3, Mathematics has its own place in the symbolic gender dualism of the society, where the world and its qualities are divided into masculine and feminine, and where everybody has integrated this dualism whether they want to do it or not. Mathematics is a masculine area of competence with its logic and precision and this symbolism becomes generally accepted by the students. This goes for optional and basic [mathematics] and in the TX-classes. The boys at optional mathematics classrooms do not speak about mathematics being difficult; they speak about the bad teachers and say that they do not feel like working with it, that they would rather use their body. (Hansen, 1991, p. 51) One of the consequences of this dualism is that teachers – despite of good intentions – might use different standards for boys and girls: In one of the classes (…) one of the girls had grade 6 and one of the boys had grade 00 [respectively a grade below medium and the lowest grade possible]. The teacher said that he was not the bit worried for the boy because he was very likely to learn it. On the other hand he was worried about the girl because she was working hard. In fact, the boy did so too but it is in the air that it is the boys’ nature to learn mathematics, while the girls have to fight against their natural disposition. (Hansen, 1991, p. 52) Unlike in the TX-classes, mathematics symbolises something else than being clever in the vocational training classes. Here it was associated with school, being quiet, doing your homework, A study on “gendered mathematics” was designed and carried through by the Danish psychologist Kirsten Grønbæk Hansen in the early 1990s (the empirical investigation) and later. She studied the activity in the mathematical classrooms in technical schools (vocational education and TX - technical higher secondary school). The main purpose of the study was to investigate the personal meaning of mathematics to the students and how this was connected with the cultural meaning of mathematics. The examples given in this section to illustrate the theoretical framework are findings from her work (Hansen, 1991, 2000). 3 4 and the girls are the best in mathematics, which is ok. In this context, it is not cool for the boys to be clever in mathematics (Hansen, 2000). A third perspective is personal gender where gender is seen as a personal matter and a reality for everybody. People are not passive bricks in social and cultural structures. They shape their lives within these structures, discourses and norms, and gender in the world is more diverse than the often dichotomous and stereotyping gender in our heads. “Personal gender concerns the way we fit into (or do not fit well into), identify with or protest against available cultural models of gender.” (Bjerrum Nielsen, 2003, p. 22) In the early 1990s, most of the students in Danish technical schools come from homes unfamiliar with education. The girls in the TX-classes are in a process of a social climb and they use the masculine field. By doing mathematics they can delimit themselves from the other girls. The boys are vulnerable in their social climbing. They have to leave their old background for gendered identity (muscle power and technical ingenuity). Their gendered subjectivity is threatened because the hierarchy makes it difficult for the boys to move into the fields of the girls (Hansen, 1991). A fourth perspective is interactional gender where gender is seen as something created and reproduced continuously through social interaction (negotiation). This perspective emphasises gender as something we “do” whether the body and identity perspective emphasises gender as something we “are”. When people interact they continuously negotiate who they are and who others are. They position themselves and others as gendered, and they get feedback on these positions. In TX-classrooms, the girls do not have the same legitimate access to high status in the mathematics classroom as the boys. Although a girl, Karina, is the best in mathematics in one of the classes, she does not get this status. The students go against their direct classroom experiences and define the clever girl as out of this position. Also the teachers find it difficult to recognize the girls’ competences even when they are obvious. Good performance of a girl is often followed by a doubtful shake of the head: she was certainly very hard-working (Hansen, 2000). These four perspectives on gender do not refer to different acts or situations. They are different analytical perspectives to be applied to the same activity or situation. In the next section, I shall make references to these perspectives in the presentation of papers and work done within the field of gender and mathematics in Denmark and Norway. 3. Gender and mathematics Nowadays, the problem field has changed from “women and mathematics” to “gender and mathematics”. This change started with the attention on women exerted by women. In the mid 1990s, the focus was broadened to a gender perspective. The International Organization of Women and Mathematics Education (IOWME) - an international network of individuals and organizations who share a commitment to achieving equity in education and who are interested in the links between gender (!) and mathematics teaching and learning – are a main actor in this change. Among the Nordic countries, Sweden is the “big sister”. The first national conference, within the framework of IOWME, was organised by Barbro Grevholm in Malmö 1990. The title of this conference as well as the following five conferences held in Sweden was “Women and mathematics” (Swe: Kvinnor och matematik). On the list with 130 participants, you may find two Norwegians and three Danes (see Grevholm, 1992). A national, Swedish network was established at this conference as a sub-organisation of IOWME and it had more than 700 members in 1996. In mathematics education, we do not have anything like that in Denmark and Norway. 5 The first and only Danish conference in IOWME frame was held in Copenhagen, 1991, with 80 participants (Tingsleff, 1991). In Norway, 1992, the first conference on women and mathematics was held in Kristiansand in cooperation with the Norwegian Mathematics Council represented by Kari Hag and 100 participants (Sekretariat for kvinneforskning, 1993). The second conference – this time with a focus on girls and mathematics in an action and a classroom perspective – was organised in Trondheim, 1999 (Hag, Holden, Marion, 2000). The last Norwegian conference “Women in science (including mathematics)” was held in Bergen, 2003 (Skarsbø, 2004). Only a few papers presented by Danes or Norwegians from the field of mathematics education at these conferences were based on research with a gender perspective. However, some of the central international researchers within the field were invited as plenary speakers; e.g. Leone Burton (1992), Gila Hanna (1993), Gilah C. Leder (2000) and Valerie Walkerdine (1991). An international colloquium on “Differential performance in assessment in mathematics at the end of compulsory schooling” was held at University of Birmingham, 1992. Denmark was represented by Haastrup and Lindenskov (1994) and Norway by Berge and Haga (1994). They presented mathematics in the educational systems with comments on gender issues, and so did Branner, Faistrup and Kock (1996) and Hag (1996) in 1993, at the ICMI study conference “Gender and mathematics” in Höor, Sweden 1993. With this initiative, the International Commission on Mathematical Instruction (ICMI) wanted to address gender inequity as a key issue in mathematics education (Grevholm & Hanna, 1995). Since the 6th International Congress on Mathematics Education (ICME 6) in Budapest 1998, IOWME has been an officially accepted study group and the organization has therefore run extensive sessions at each congress. Following the work of IOWME, the first working group on Gender and Mathematics listed in the official conference program was organised at ICME 8 in Seville 1996. Here, Norwegian Kari Hag presented the ideas from a round table on Women and Mathematics at the Second European mathematics conference in 1996 (see Grevholm and Evans, 1998). At ICME 10, in Copenhagen, Norwegian Liv Sissel Grønmo was a team chair of the topic study group Gender and Mathematics Education but there were no paper presentations from Norway or Denmark (see www.ICME10.dk). Lessons on the gender perspective In the book “Equity in mathematics education”, Kaiser and Rogers (1995) – applying McIntosh’s model of stages of awareness to mathematics – discern five phases of reform in mathematics education: (1) Womanless mathematics; (2) Women in mathematics; (3) Women as a problem in mathematics; (4) Women as central to mathematics; and (5) Mathematics reconstructed. (See also a presentation of the stages in Leder, Forgasz & Solar, 1996.) However, Kaiser and Rogers point out that theses phases do not always occur chronologically and that all western countries are not simultaneously at the same stage. The type of classification made in the model seems adequate to label the Danish and Norwegian work with a gender perspective on mathematics education in the period from 1990 up till now. As terms like “phase” and “stage” however belong to a context of historical chronology, I have chosen simply to talk about “labels” which are inspired by this classification. The title of the first women and mathematics conference in Norway was “Research in mathematics education and women in mathematics”, and the Norwegian male researcher in mathematics education, Gard Brekke, and the Danish male researcher, Mogens Niss, lectured at this conference. But none of them referred to the gender perspective. Not even the students in their lectures were gendered in that they were “boys” and “girls” (Sekretariatet for kvinneforskning, 1993). In this context, you might say that they presented a genderless mathematics. Women in mathematics labels the work where prominent female mathematicians were made visible in paper presentations at the 6 conferences (Andersen, 1991; Hag, 1998; Ragni, 1992). In Denmark, Else Høyrup (1978) had written an annotated bibliography on women and mathematics, science and engineering, and much later Tinne Hoff Kjeldsen (2001) edited a special issue on women and mathematics in the Newsletter of the Danish Mathematical Society. These publications contribute with knowledge on the structural gender perspective but also on the symbolic gender. Norwegian Stieg Mellin-Olsen (1995) made a contribution to the later in a book published after his early death with interviews that he had made with nine prominent female mathematics educators. He gave this comment to the results: “I am convinced that any sample of male colleagues could not produce texts with similar qualities as did these women.” I wonder if he was really so surprised to find intelligent women in the field that he had to accentuate this at the expense of his male colleagues. Women as a problem in mathematics education was a central theme at the ICMI study conference in terms of inequity and this issue was an explicit topic in the Nordic or national conferences by the question “Women in mathematics: why so few?” (Hag, 2000). In the international comparative surveys like TIMSS and PISA, the gender issue has been treated in terms of differences from a structural perspective (performance of girls/women versus boys/men) and from a symbolic perspective (girls’/women’s versus boys’/men’s attitudes towards mathematics. This was also the case in the quantitative, Norwegian study (Skaalvik, 1990). In contrast to TIMSS and PISA, no gender differences in achievement were found (however overestimated by the boys) or in mathematics self-efficacy. A counterexample might also have be given by Norwegian Gustafsson (1993) in her presentation “Gifted girls and their school performance in mathematics” but her conclusion was that the girls did not perform according to their intellectual potential in the school and expecially not in mathematics. In the Norwegian project KIM (Quality In Mathematics education), differences between boys’ and girls’ attitudes towards mathematics were investigated in a survey and described at the gender and mathematics conference in Trondheim, Brekke and Streitlien (2000): It is complicated to measure the affective dimension of a school subject. (…) Hence, we wish to make a follow up to this investigation using qualitative methods as for example classroom studies and interviews with selected groups of informants (p. 47). Gender as a central perspective in mathematics education is for instance illustrated by Grønbæk Hansen’s findings of which some are presented above (Hansen, 1991, 2000). Her research is the only qualitative study designed to investigate gender perspectives. However, the intention of making gender a central dimension is expressed by more researchers. Danish Lena Lindenskov may serve as an example: Throughout history, gender has been one of the most important parameters in societal divisions of work and distribution of power, and this is still the case at the entrée of the next millennium, even in the Nordic societies. Hence, it is obvious – in mathematics education research – to investigate systematic traits related to gender in mathematics teaching and mathematics learning. (Lindenskov, 2000, p. 109) Lindenskov was one of the organisers of the first and only Danish conference. In her plenary lecture entitled “A tribute to curiosity”, she presents some preliminary results from her doctoral work stressing that the women perspective was not her interest in this study (Lindenskov, 1991). In her workshop, entitled “Fascination, self-presentation and gender in school mathematics”, at the second gender conference in Norway, she presents observations from her qualitative study on what she called “students’ personal curriculum” in the early 1990s. The title may suggest that the perspective is personal gender. However the study had not been designed with the purpose of investigating 7 gender, and the four students (two boys and two girls) represent four different curricula. It is the girl, Julie, who is fascinated by new applications, perspectives and subjects of mathematics. At the same conference, Maria Luiza Cestari (2000) presented the paper: ”Boys and girls solving mathematical tasks: the co-production of gender dominance” based on a Norwegian study. From the title one should think that the gender perspective was interactional. The dialogues observed and analysed are between two boys and two girls. As a reader you might extract the meaning of the title in Cestari’s descriptions. The conclusion, however, does not include any statement on the gender issue. At the fourth Swedish conference “Women and Mathematics” in Uppsala 1999, I was invited to give a lecture based on my doctoral study on adults and mathematics in the workplace. Although it would have been obvious, I had not taken an explicit gender perspective in this study. One of the reasons was that this new area of research was not cultivated and that the problem field was highly complex. Based on a mathematics life history interview with a 75 years old woman, I gave the lecture “Mathematics in a woman’s school and everyday life” at the conference. In this study, I combine the theoretical frameworks of Lave (situated learning) and of Bourdieu (Habitus), and pieces of a puzzle with structural, symbolic, personal and interactional gender are ready to fall into place in the analysis giving an explanation to this mystery: the woman never realised her mathematical competence although she had the highest grade in mathematics in the technical school as 50 years old, and she was highly competent in daily life situations with challenging mathematics (Wedege, 2001). At a Nordic seminar ”Gender, mathematics and technology”, in Trondheim 2005 (Wedege, 2006), Anne Berit Fuglestad gave the lecture “ICT tools in mathematics: boys’ and girls’ choice and attitudes” (Fuglestad, 2006). The findings were based on two studies (from 1995 and 2004) and they were produced for the special occasion of this seminar. The research questions in Fuglestad’s mainly quantitative investigations did not involve any gender issue, but gender being a background variable in the study made it possible for her to answer the question “Is there any difference between boys’ and girls’ attitudes towards and thoughts about using computers in mathematics education?” During the session, Fuglestad distributed a couple of pages with students’ response to the questions “why did you like this problem” - “what tool did you use and why” – “what did you learn”. The participants were to discuss and decide if the different answers where from boys or girls. In the debate, we were quite sure that for example the following reply came from a boy: “I liked this problem because it was solved really fast on the computer” (page 1), and that this came from a girl: “Computation of interest is funny and very useful. Our teacher has attached much importance to computation of interest and, hence, the problem is very easy to solve” (page 2). However, Fuglestad revealed that she had organised the students’ replies with the girls on page 1 and the boys on page 2. During this exercise symbolic gender was illustrated through our stereotyping boys and girls, which was precisely questioned at the seminar. In Fuglestad’s study on technology from 2004, only minor gender differences showed up in attitudes. At two conferences in the late 1990s, Danish Mette Vedelsby presented her developmental work and related research on technology and gender. It was based on the question whether it is possible to integrate IT in mathematics education in a way that makes it meaningful to boys and to girls. In her work, the premise was that boys are more attracted to technology than girls (Vedelsby, 1998, 2000). This is indeed a moving field and symbolic gender is changing together with structural gender. At the seminar mentioned above, Rudof Strässer (2006) ended his contribution like this: “… I am NOT a specialist in the field of gender studies. I could and can only 8 give my ideas and best knowledge in a field where much research is needed and where I am an amateur as (unfortunately!) most of my colleagues” (p. 199). Reconstructed mathematics is the label of an idea of mathematics including all people: instead of regarding the girls (or the boys) as the problem, you locate the problem in mathematics education and “mathematics will be what people do” (Kaiser & Rogers, 1995 p. 9). Norwegian Ingvill Holden (now: Stedøy) presented the paper “Mathematics in primary: playing in the subject and subject in the play” at the conference in Trondheim 1999. She reported from an action research project where the girls and boys after one year of learning mathematics in a context of play developed an open view of mathematics and a drive towards new and open problems, among other things (Holden, 2000). Stedøy, who is the leader of the Norwegian Center for Mathematics Education, is the driving force in the Nordic mathematics competition, KappAbel, where one of the basic principles is gender equity: the semi-final teams consist of two boys and two girls. This competition differs also in other aspects from mathematics competitions in general. The whole class is co-operating as one participant and the classes have to do a project work with a specific theme. In 2004-2005, the theme was “Mathematics and the human body” and Wedege and Skott (2006) studied if and how the KappAbel mathematics competition has an influence on the views of mathematics and the teaching/learning practices of the participating teachers and students. In this study, gender was a variable and it showed up, from the survey, that neither gender, age, education nor school location for the teachers influenced the participation rate in the KappAbel contest in any significant way. Neither did gender influence the teachers’ views on mathematics teaching and learning. In the interviews, most of the teachers take the general position that they do not think that gender matters in the mathematics classroom. However, when it comes to specific examples one of the teachers for example talks about boys as being more confident and girls having a deeper understanding in mathematics. Another example of someone having an idea of reconstructed mathematics may be found in the work of Danish Inge Henningsen (2002). As a representative of a feminist position, she questioned the idea of gender neutral concept of numeracy, at a conference on adults learning mathematics in Roskilde, Denmark. She argued that men and women to a great extent inhabit different cultures both at work and in civil life. Thus, there is a need for a gender specific notion of numeracy and a gender conscious teaching of mathematics. 4. Gender as a variable in TIMSS and PISA In the international comparative studies, gender – or sex – is a single variable among hundreds of other variables. But they might, in principle, throw some light on structural and symbolic gender in the participating countries. In TIMSS and PISA, boys are generally scoring higher than girls in mathematics (with Iceland as an exception). This finding is however not consistent with the results in the national school tests, where , in general, no difference is found between girls and boys in mathematics. Recently the Danish Evaluation Institute published a report on boys’ and girls’ performances in education. They make this concluding comment: “This difference is certainly due to different methods for measuring the students’ level of attainment.” (EVA, 2005, p. 19). There is definitely a need to investigate what is measured in the surveys and why the methods give different results. The gender issue in TIMSS is in fact discussed by Norwegian Grønmo at three of the Nordic conferences (1995, 1998, 2000) Denmark participated in TIMSS, 1991-1995, and in PISA in 2000-2004. The international comparison of 13 year-old students in 1995 showed that mean scores achieved by the Danish seventh grade students are approximately equal to the international results. But the comparison of 9 the gender differences showed a different picture. Weng (1996) noted that the gender differences in mathematics performance were bigger than in most of the other countries in TIMSS. He concluded: “This is an interesting result, which ought to have attention” (p. 56). Eight years later, Lindenskov and Weng (2004) note that the Danish results on gender differences in performance “unfortunately” were not a surprise and they conclude that this is underexposed in research and that “there does not exist any initiative on mathematics education and gender” (p. 88). The question “Are multiple choice items biased against girls?” was investigated in relation to the Norwegian data from TIMSS by Grønmo (1998) and her answer was negative. In Denmark, however, the situation was different in 1995. In the report “Myth or reality”, Hoff (1999) analyzed what TIMSS can teach us about gender differences in the Danish mathematics education and she has compared with the Norwegian results. In her more detailed analysis, she showed that the high gender difference in the boys favour was not general for all items – that specific areas in mathematics favoured Danish boys while other areas favoured Danish girls. Moreover Hoff showed that the high difference between Danish and Norwegian gender differences was not general for all items, but is concentrated for specific mathematics areas. Her analysis showed that the fraction of Danish 13 year’s old children who gave blank responses was generally higher than the corresponding fraction of Norwegian children. Generally, the Danish girls gave more blank responses than the Danish boys as well as the Norwegian boys and girls, and consequently, the high gender differences decreased if blank responses were subtracted from the incorrect responses. The Norwegian gender differences were on the contrary not altered when blank responses were subtracted from the incorrect responses. There is a tendency among politicians to buy the survey results. However, the Danish and Norwegian researchers state that the gender issue has to be carefully investigated – also with the use of qualitative methods – before drawing any simplistic conclusions. 5. Future directions? For my presentation of Danish and Norwegian research in mathematics education in this article, I have chosen the approach of “doing gender” with structural, symbolic, personal and interactional perspectives. The focus of this framework is how teachers, boys and girls, men and women, negotiate gender in the world and in their heads. The idea of “doing gender” has been used also to include “being gendered” and “interpreting gender”. With this choice of approach, I also wanted to indicate that all major problems are strongly interdependent in mathematics education: “As a matter of fact major problems of education are characterised by the fact that none can properly be isolated from the others. The best you can do at a given moment is to focus one of them without disregarding the others.” (Freudenthal, 1981). Comprehensiveness in the research is one way to avoid inappropriate reductions of complexity in the problem field and to ensure that no parts of the subject area are considered isolated. In late 1990s, the European commission adapted the principle of gender mainstreaming (the integration of the gender perspective into every step of policy processes – design, implementation, monitoring and evaluation – with the aim of promoting equality between men and women) but obviously without any discernible consequences for mathematics education (see Henningsen, 2004). As we have seen, the problem of doing gender in mathematics has only had a central place in a few studies in Denmark and Norway. However, by including sex as a background variable in their empirical investigations, a series of researchers have been able to draw some lessons on the gender perspective at Nordic conferences. In doing this when the opportunity is given, they demonstrate 10 that they find the issue worthy to spend their time at. Some have explicitly expressed their intentions of focussing on the gender issue like the group of researchers connected with the Norwegian Center for Mathematics Education in a recent publication (Gjøvik et al., 2005). As a matter of fact, Paul Ernest held a doctoral course in Trondheim, 2006, with the title “Mathematics and Gender” – the first course of this kind in the Nordic countries. Some of the themes at the course were “public images of mathematics”, “mathematics and values”, “gender differences in achievement and participation rates” and “theorising the social construction of differences”. The students were required to choose a topic for investigation from the course related to their doctoral study and to elaborate on this in an essay. One of lessons learned from this course was that it is not possible to extract substantial findings on this issue when one’s research project is not designed to study gender perspectives. Researchers’ intentions and a doctoral course – both are sign of possible future directions. In fact, at the Centre for women and gender research (KVINNFORSK), University in Tromsø, Norway, Anne Fyhn is doing a doctoral study with a gender perspective in mathematics education. The starting point of her study is the master thesis where she tried to answer the question “Does girls’ and boys’ physical activity level connect to their understanding of space?” (Fyhn, 2002). The world of mathematics education does change and so do the structural, symbolic, personal and interactional perspectives on gender. When girls and women are rushing through the educational system and reforms in mathematics education matching more to feminine values, boys and men have to find new ways of doing gender in mathematics. 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