Gender differences in the mathematics achievements of German primary school students: results from a German large-scale study

In Germany, national standards for mathematics for the end of primary school were established in 2004. In the present study, data were collected to evaluate these standards, and were used to compare the mathematical skills of girls and boys. Many studies have shown that gender differences are strongest at the highest levels of education. The findings from primary school are less consistent. Thus, in our study we analyzed achievement differences in a sample of approximately 10,000 third and fourth graders, representative of the German elementary school population. Gender-specific competencies were compared in the different content domains, both for the general mathematical competence, and for the cognitive levels of the tasks. Overall, boys outperformed girls, but substantial variation was found between the content domains and general mathematical achievement. Differences were higher in grade three than in grade four. The proportion of boys in the classroom did not appear to affect the individual level of performance. Analysis of the items on which boys or girls clearly outperformed each other reproduced a pattern of specific item characteristics predicting gender bias consistent with those reported in previous studies in other countries.     

Exemplary mathematics instruction and its development in selected education systems in East Asia

What may teachers do in developing and carrying out exemplary or high-quality mathematics classroom instruction? What can we learn from teachers’ instructional practices that are often culturally valued in different education systems? In this article, we aim to highlight relevant issues that have long been interests of mathematics educators worldwide in identifying and examining teachers’ practices in high-quality mathematics classroom instruction, and outline what articles published herein can help further our understanding of such issues with cases of exemplary mathematics instruction valued in the Chinese Mainland, Hong Kong, Japan, Singapore, South Korea, and Taiwan.     

Gender differences in mathematics achievement in Jordan: A differential item functioning analysis of the 2015 TIMSS

This study is within the framework of the United Nations sustainable development goals related to equitable quality education. The total score on the 2015 Trends in International Mathematics and Science Study that indicated eighth‐grade girls in Jordan significantly outperformed boys is hiding many details related to the quality of mathematics learning that reflect a gender gap. Data were analyzed using the Mantel–Haenszel differential item functioning analysis procedure to investigate test items that favored either boys or girls. The results showed that boys were more likely than girls to correctly answer the more difficult, unfamiliar, life‐related mathematical problems. In contrast, girls were more likely than boys to correctly answer the familiar, less difficult, and not life‐related problems. Some recommendations were suggested to diminish this gender gap that goes each way.     

Beliefs and Attitudes Toward Mathematics Among Third- and Fifth-Grade Students: A Descriptive Study

A survey on attitudes toward mathematics of third- and fifth-grade students enrolled in a large urban school district was conducted in the spring of 1994 as part of a review of the mathematics program. Student responses to survey items were analyzed with respect to gender and grade level. Although girls and boys were equally likely to indicate that they like mathematics, in both Grades 3 and 5, boys were more likely than girls to report being good at mathematics. This result has often been reported for older students but has rarely been explored in younger children. Some gender and grade differences were observed in students' attitudes towards the specific strands of mathematics. Both girls and boys in Grade 5 were more likely than students in Grade 3 to believe that mathematics was relevant to their lives. Virtually all children thought that both girls and boys needed to study mathematics. No gender or grade differences in students' beliefs regarding the process of learning mathematics were observed. The results support the need for further research to identify variables that influence the development of student perceptions and attitudes toward mathematics during elementary school.     

Gender, technology and attitude towards mathematics: a comparative longitudinal study with Mexican students

In this paper the results of a comparative longitudinal study investigating changes in girls’ and boys’ attitudes towards mathematics, and self-confidence in mathematics are presented. A 5-point Likert scale, AMMEC, was used to measure attitudes towards mathematics (AM), computer-based mathematics (AMC), and self-confidence in mathematics (CM). A total of 430 students using technology for mathematics and 109 students not using it were monitored for 3 years. At the beginning of the study, the participants were aged about 13 years. The statistical analyses of the data showed few gender differences in the way students’ attitudes and self-confidence changed over the 3 years. Significant gender differences favouring boys were found in attitudes towards mathematics in grades 8 and 9 for the group using technology. For the group using technology, significantly more boys than girls got high scores in attitudes towards computer-based mathematics in grade 7. Significantly, more girls using technology than girls not using it got high scores in grade 8. The use of technology did not have a positive impact on students’ self-confidence. Regardless of whether they used computers or not, from grades 7 to 9, there was a decrease in the self-confidence in mathematics of both boys and girls. To enrich these results and detect possible gender differences in the way attitudes were constructed, 12 girls and 13 boys were interviewed at the end of the study. The analysis of the arguments they presented to explain and justify their attitudes towards mathematics, computer-based mathematics, and their self-confidence in working in mathematics provided evidence of important gender differences in the ways in which boys and girls construct their attitude, indicating how their constructions reflect the gender stereotypes within Mexican society.     

Examination of the 8th grade students' TIMSS mathematics success in terms of different variables1

The aim of this study is to determine how the TIMSS mathematics success of the 8th grade students differentiates according to the school type, gender, mathematics report mark, parents' education level, cognitive domains and cognitive domains by gender. Relational survey method was used in the study. Six-hundred fifty two 8th grade students studying in the same city in Turkey participated in this study. In this study, a 45 question test that was made up by choosing TIMSS 2011 mathematics questionnaire was used as a data collection tool. Quantitative data analysis methods were used in the data analysis, frequency, percentage, average, standard deviation, independent sample test, one-way analysis of variance and post-hoc tests were applied to data by using SPSS packaged software. At the end of the study, it was determined that the school type, mathematics school mark, parents' education level and cognitive domains influenced the students' TIMSS mathematics success but their gender was a neutral element. Moreover, it was seen that schools which are really successful in national exams are more successful in TIMSS exam; students whose mathematics school marks are 5 and whose parents graduated from university are more successful in TIMSS exams than others.     

Gender Differences in Toddlers’ Visual-Spatial Skills

The purpose of the present study was to determine whether there are visual-spatial gender differences in two-year-olds, to investigate the environmental and cognitive factors that contribute to two-year-olds’ visual-spatial skills, and to explore whether these factors differ for boys and girls. Children (N = 63; M_age = 28.17 months) were assessed on their visual-spatial skills and on measures related to visual-spatial skills: intelligence, quantitative reasoning, working memory, and home spatial activity engagement. Children’s mothers were assessed on mental rotation ability. Results found no difference between boys’ and girls’ visual-spatial skills at age two. Quantitative reasoning contributed the most to girls’ visual-spatial skills. No variables were predictive for the boys, though boys with higher spatial activity frequency had higher visual-spatial skills. The differential predictors have implications for the development and fostering of visual-spatial skills, particularly for girls, who may be at a disadvantage in this area when they are older.     

Gender Equity in Mathematics: Beliefs of Students,Parents, and Teachers

The attitudes about mathematics held by girls and boys participating in a regional mathematics contest, their parents, teachers, and mathematics coaches were investigated. Quantitative data regarding mathematics as a male domain, perception of importance of mathematics, confidence in learning mathematics, effectance motivation, and usefulness of mathematics were obtained. It was found that the traditional gender‐based differences in the beliefs regarding mathematics persist even in these mathematically talented students. Furthermore, parents' responses to the questions regarding the role of mathematics revealed that mothers, more than fathers, focused on the computational aspects of mathematics, while fathers more than mothers mentioned the role of mathematics in science or as a language. Boys, fathers, and certain mathematics teachers admitted to a low level of gender stereotyping, as evidenced by their scores on the Mathematics as a Male Domain subscale. However, the girls, mothers, and mathematics coaches did not endorse this stereotyping. Unsolicited responses of girls and mothers, in fact, emphatically denied that gender stereotyping exists. These findings are discussed in terms of the need to resolve the essential conflicts between students', parents', and teachers' deeply held beliefs regarding the nature of mathematics, gender differences in mathematical abilities, and the desire for equity within mathematics education.     

Future mathematics teachers’ professional knowledge of elementary mathematics from an advanced standpoint

This paper reports a joint research project by researchers from three countries on an international comparative study that examines the professional knowledge of prospective mathematics teachers in elementary mathematics from an advanced standpoint. For this study, mathematical problems on various topics of elementary mathematical content were developed. Using this instrument, the mathematical knowledge of future teachers from Germany, Hong Kong, China (Hangzhou) and South Korea was measured empirically. The paper presents the design of the study, and also results are discussed. The results show that there are systematic differences among the participating countries; for example, the Korean future teachers outperform their counterparts in other countries. A more detailed analysis of the results suggests that the future teachers often do not seem to be able to link school and university knowledge systematically and cannot achieve the crucial “advanced standpoint” from the teacher training programme.     

Student Academic Self‐Concept and Perception of Classroom Environment in Single‐Sex and Coeducational Middle Grades Mathematics Classes

In this article, we present findings from a study that investigated the relationship between all‐girls classes, all‐boys classes, and coeducational classes on student mathematics self‐concept and student perception of classroom environment. Further, we compared responses of girls in all‐girls classes to girls in coeducational classes and responses of boys in all‐boys classes to boys in coeducational classes. Using the Mathematics Attitude Scale and the What Is Happening in This Class? questionnaire, we found no significant differences in student responses on any of the subscales or domains for any of the subgroups, except for Math as a Male Domain. Our findings indicate that student mathematics self‐concept and student perception of the classroom environment are similar regardless of whether students are in a single‐sex or a coeducational class.     

Perceptions of Mathematics and Gender

This study examined students’ perceptions about gender and the subject of mathematics, as well as gender and mathematics learning. Secondary school students and pre‐service elementary teachers were surveyed using the Mathematics as a Gendered Domain and Who and Mathematics instruments developed by Leder and Forgasz ( Leder, 2001 ). The data indicate that, similar to findings from the 1970s, students believe that mathematics is gender neutral, although females hold this belief more strongly than males. Female secondary school students hold beliefs in gender neutrality more strongly than female pre‐service teachers. Data for secondary school students indicate that both males and females see differences in the way boys and girls act and are treated in mathematics classes (e.g., boys cause more distractions while girls care more about doing well). The data also show that secondary school males who believe they are good mathematics students tend to have more gender‐neutral perceptions than those who believe they are average or below average. No such pattern appears for secondary school females.     

Gender Aspects of Participation,Support, and Success in a State Science Fair

This study of students competing in the 2009 Massachusetts State Science & Engineering Fair investigates the role gender played in students' participation, choice of science field, award of prizes, and mentioning inspiring teachers. Females made up 62% of the participants and were more likely to enter projects in biology and in earth/space/environmental sciences, whereas males were more heavily represented in engineering. Girls and boys were equally likely to receive an award. Nearly half of both the girls and the boys reported having an inspiring teacher, but this was not associated with greater student success. Furthermore, for girls, the gender of the inspiring teacher did not influence the chances of winning an award.     

What is different across an ocean? How Singapore and US elementary mathematics curricula introduce and develop length measurement

This article compares the opportunity to learn length measurement in the USA and Singapore as revealed in the close analysis of some of their written elementary curriculum materials. Written curricula strongly influence students’ learning of mathematics, without completely determining it. The Trends in Third International Mathematics and Science study 2007 showed the relatively low performance of the US and Singapore fourth graders in measurement, which was attributed in part to the learning opportunities provided to the students. We examined and coded all instances of length measurement in three different US curricula and one Singapore curriculum through Grade 3, using a very detailed scheme that identified particular elements of conceptual, procedural and conventional knowledge and the textual forms that present this knowledge. Results show strong emphasis on measurement procedures, across all grades and curricula, in both countries. However, in numerous ways, the Singapore curriculum is more focused, organizationally, procedurally and conceptually. US curricula provide more diverse access to conceptual knowledge where Singapore materials focus on independent work involving procedures, within and across grade levels. Limitations of the curricula in both countries are discussed.     

Will learning to solve one-step equations pose a challenge to 8th grade students?

Assimilating multiple interactive elements simultaneously in working memory to allow understanding to occur, while solving an equation, would impose a high cognitive load. Element interactivity arises from the interaction between elements within and across operational and relational lines. Moreover, operating with special features (e.g. negative pronumeral) poses additional challenge to master equation solving skills. In an experiment, 41 8th grade students (girls = 16, boys = 25) sat for a pre-test, attended a session about equation solving, completed an acquisition phase which constituted the main intervention and were tested again in a post-test. The results showed that at post-test, students performed better on one-step equations tapping low rather than high element interactivity knowledge. In addition, students performed better on those one-step equations that contained no special features. Thus, both the degree of element interactivity and the operation with special features affect the challenge posed to 8th grade students on learning how to solve one-step equations.     

What Can Be Learned From Informal Student Writings in a Science Context?

This exploratory study analyzed four informal science-related writing tasks produced by 374 seventh-grade students (172 boys and 202 girls) from two schools with different socioeconomic populations. The study demonstrates that students' informal writing in science contexts can provide a rich source of information regarding students' cognitive and attitudinal engagement with science. Students' writing reflects the level at which students understand previously learned science-related ideas and gives insight into themes and issues they would be interested in learning. This study further demonstrates how students organize and personalize science knowledge acquired inside as well as outside of school when given novel and unconventional (informal) science-related tasks. The study also demonstrates that informal writing tasks encourage students to express opinions, values, and attitudes associated with science and science learning. Examples are provided of similarities and differences in students' writing preferences and in the quality of writing produced by boys and girls. Suggestions for further studies for teachers and researchers are discussed.     

Comparing the Development of Fractions in the Fifth‐ and Sixth‐Graders' Textbooks of Singapore,Taiwan, and the USA

This research examined the presentation of fractions in textbooks used by fifth and sixth graders in Singapore, Taiwan, and the United States. The specific textbooks examined were My Pals Are Here! Maths (MPHM) in Singapore; Kung Hsung (KH) in Taiwan; and Mathematics in Context (MiC) in the USA. Results show the problems posed in MiC put more emphasis on real‐life situations than KH textbooks in Taiwan and MPHM in Singapore. Designing materials that provide opportunities to connect mathematics content with applications in real life is consistent with recommendations from professional organizations. The activities in KH and MPHM tended to emphasize procedures, while the activities of MiC focused more on conceptual understanding and less on the development of procedures. An examination of the mathematics textbooks revealed that MPHM introduced and developed fractions the earliest among the three countries investigated and the content taught in MPHM was about one grade earlier than when the same content was experienced by students in KH and MiC.     

Gender Differences in Science Achievement: Differential Effect of Ability,Response Format,and Strands of Learning Outcomes

The purpose of this study was to determine patterns of gender differences in science achievement of fifth graders, taking into account the role of ethnicity, ability, response format, and strands of learning outcomes. The results indicated that the gender differences in science achievement did not depend on ethnicity. However, response format, ability, and strands of learning outcomes had differential effects on student performance. In particular, at the high ability level boys did better than girls on the open-ended format in physical sciences, but there were no gender differences in nature of science, earth and space sciences, and life sciences. There were no gender differences in science achievement for the low and medium ability students. Regardless of gender, the largest achievement gaps between the low, medium, and high ability students were on the open-ended format in physical sciences.     

The Gender Confidence Gap in Fractions Knowledge: Gender Differences in Student Belief–Achievement Relationships

Recent research demonstrates that in many countries gender differences in mathematics achievement have virtually disappeared. Expectancy‐value theory and social cognition theory both predict that if gender differences in achievement have declined there should be a similar decline in gender differences in self‐beliefs. Extant literature is equivocal: there are studies indicating that the male over female advantage in self‐efficacy and beliefs about math learning is as strong as ever and there are studies reporting an absence of gender differences in belief. Using data from 996 grades 7–10 Canadian students, we found that gender differences in beliefs continued, even though gender differences in achievement were near zero. Gender differences, favoring males, were larger for self‐beliefs (math self‐efficacy and fear of failure) and weaker for functional and dysfunctional beliefs about math learning. There were also gender differences in the structure of a model linking beliefs about math, beliefs about self and achievement.     

Exploring gender factors related to PISA 2003 results in Iceland: a youth interview study

Students’ mathematical achievement in Iceland, as reported in PISA 2003, showed significant and (by comparison) unusual gender differences in mathematics: Iceland was the only country in which the mathematics gender gap favored girls. When data were broken down and analyzed, the Icelandic gender gap appeared statistically significant only in the rural areas of Iceland, suggesting a question about differences in rural and urban educational communities. In the 2007 qualitative research study reported in this paper, the authors interviewed 19 students from rural and urban Iceland who participated in PISA 2003 in order to investigate these differences and to identify factors that contributed to gender differences in mathematics learning. Students were asked to talk about their mathematical experiences, their thoughts about the PISA results, and their ideas about the reasons behind the PISA 2003 results. The data were transcribed, coded, and analyzed using techniques from analytic induction in order to build themes and to present both male and female student perspectives on the Icelandic anomaly. Strikingly, youth in the interviews focused on social and societal factors concerning education in general rather then on their mathematics education.     

Cognitive opportunities in textbooks: the cases of grade four and eight textbooks in Israel

The cognitive domain in mathematics, defined as thinking and understanding in the process of learning mathematics, is a main focus of curricula in many countries. This study explores breadth and depth of understanding as addressed in mathematics textbooks certified as aligned to Israeli national mathematics curricula. We compare opportunities for students to engage with mathematics requiring different types and levels of understanding provided by the tasks in mathematics textbooks. Comparison of two fourth grade and two eighth grade mathematics textbooks showed significant differences in the opportunities to learn in the cognitive domain that each provides. These differences can be quantified; the quantification defines the cognitive demand of the textbook. The cognitive demand of the four textbooks varies. This reveals a potential source of inequity in students’ opportunities to learn mathematics. Results should prompt discussion around standardization and alignment of textbooks to the cognitive goals of the curriculum.