Gender issues in elementary mathematics teaching materials: a comparative study between China and Australia

International Association for the Evaluation of Educational Achievement (IEA) cross-national studies (FIMS, SIMS and TIMSS) show that gender differences in mathematical achievements and attitudes have decreased considerably over thirty years (Hanna, 2000), however, mathematics is still historically stereotyped as a male domain with crucial evidence supporting this belief (Forgasz, Leder, & Kloosterman, 2009). Previous research showed that gender differences in mathematics participation,performance and achievement existed widely in the majority of English speaking countries, specifically favouring boys (Forgasz, 1992; Hyde, Fennema, & Lamon, 1990; Tiedemann, 2000). Hyde, Lindberg, Linn, Ellis and Williams (2008) pointed out that the stereotype that females lack mathematical ability persists and is widely held by parents and teachers.Mathematics teaching materials play an important role in mathematics teaching and learning. The contents within mathematical teaching materials are rational, and deliver both explicit and implicit information. The explicit information refers to mathematics knowledge that students can learn from textbooks, while the latter one, also named as hidden curriculum, contains social and cultural messages. Hidden curriculum is a side effect of education. It has deep and long-term influences on students’ construction of math-gender stereotype that impact their future mathematicallearning (Zhang & Zhou, 2008). Therefore, this study will investigate Chinese andAustralian elementary mathematics teaching materials to explore the messages of gender equity and inequity delivered through hidden curriculum including names, images and problem-solving contexts. Based on the findings, practical implications concerning the promotion of equitable gender environments within elementary mathematics teaching materials from a cross-cultural perspective will be discussed.

Equity, social justice and ethics in mathematics education

The performativity policy mindset driving national and international testing highlights issues of equity in access and success according to socio-economic status, geographic location, ethnicity, gender and combinations of these factors. Researchers seek explanations for these inequities in terms encompassing engagement, participation and achievement to identify socially just and ethical practices at system, school and classroom level. The emergence of a theoretical perspective involving redistribution, recognition and participation (Fraser, 2013) is evident in a range of studies concerning leadership, professional learning, pre-service teacher education, and pedagogies that focus on equity and social justice in mathematics education. The challenge of ethical and socially just practices at all levels and social groups is in providing access to deep learning in mathematics and success in “knowledge making” (Jorgensen, 2014).

Mathematics teacher education and technology

Various applications of electronic technology have contributed to the field of mathematics teacher education, but the array of tools now' available to teacher educators in developed countries can be somewhat daunting. In this chapter, the authors present an overview of some of these tools and the ways that they are being used. In addition, they address issues surrounding the development and applications of digital technology in teacher education programs in a number of countries. In particular, they present recent applications of videotapes, multimedia resources, internet-based communities, and tutorial conferencing facilities in pre-service and in-service education of mathematics teachers. As professionals who have used technology in teacher education, the authors blend their own insights into this review of technological tools and relevant issues.

The Victorian Certificate of Education - a gendered affair?

Drawing on data from the Victorian Certificate of Education (1994- 1999), this paper examines whether gender differences in Mathematics still exist. The discussion is developed in the context of ongoing debates about girls' and boys' comparative performance, and about modification in Year 11 and 12 curriculum and assessment. The paper identifies some of the subtle issues that lie behind the statistics, and school to work inequalities that continue to exist.

Pop art: making mathematics popular

Leicha Bragg shares an effective activity for integrating visual arts, technology and mathematics. Such an approach has the potential to enhance students' visual reasoning and spatial ability by using multiple perspectives of learning. 

Teachers and computers for secondary mathematics

In the first stage of a three-year study in which the effects of using computers for the teaching and learning of mathematics are being explored, a questionnaire was developed and administered to teachers of students in grades 7–10 in a representative sample of co-educational post-primary schools in Victoria, Australia. Using open and closed response formats, the information sought included data on the teachers' professional backgrounds, computer ownership and use, and their beliefs and practices in using computers for the teaching of mathematics. In this article, findings related to ownership, professional development, perceptions of technological skills, beliefs about the efficacy of computer use in mathematics, and data on how teachers are using computers for teaching secondary mathematics are presented and discussed.

Psychometric data on the mathematics self-efficacy scale

Descriptive measurement reliability and validity data are reported on scores from the Mathematics Self-Efficacy Scale (MSES) in two contexts—class and test—for a sample of 302 Australian high school students. Summated scores on the MSES correlated r = .74, and together these items yielded one component that explained 49% of the variance. MSES scores demonstrated internal reliability for both class and test (Cronbach alphas = .86 and .90). Statistically significant correlations between MSES scores, past mathematics grades, and Marsh’s Self-Description Questionnaire III (Math) were used to indicate the convergent validity of scores for the MSES. Discriminant validity of the MSES scores was suggested by the lack of significant correlations between the MSES measures and students’ desired English grades. Statistically significant correlations between MSES scores and students’ desired mathematics grades indicated concurrent validity of the MSES measures. A statistically significant difference between class and test scores supported Bandura’s prescription for context specificity in efficacy research.

The relationship between child sexual abuse and academic achievement in a sample of adolescent psychiatric inpatients

Objectives:
To examine the relationship between sexual abuse and academic achievement in an adolescent inpatient psychiatric population. Individual factors expected to influence this relationship were measured to explore the way they each interacted with sexual abuse and its relationship to academic achievement.

Method:
Eighty-one adolescent psychiatric inpatients participated in the study (aged 12–18 years: M = 16.0). Participants were administered tests of academic achievement (dependent variable) and intelligence, and completed a number of self-report measures of their experience of different types of maltreatment, their perception of the parenting they received, socio-economic status, substance abuse, and psychopathology.

Results:
Hierarchical regression analysis revealed that intelligence was the main predictor of academic achievement (uniquely explaining 26% of the variance). A number of interaction effects were also significant indicating that intelligence, substance abuse, internalizing behavior problems, externalizing behavior problems all influenced the relationship between sexual abuse and academic achievement.

Developing formal mathematical assessment for 4-to-8-year-olds

The assessment of children in their years before school and their first years of school has been, traditionally, informal. Further, assessment of children's mathematical skills at this level has been infrequent compared to social, emotional and physical assessments. However, there are contexts where reliable, valid, standardised data from assessment in mathematics are required. This paper outlines the development of two assessment tools for mathematics that were originally developed for such contexts. Item Response Theory (IRT) analyses enabled the construction of assessment forms that address the range of abilities of 4- to 8-year-old children, and provided the scales used for constructing formative and summative reports of achievement. A description of the development of the assessment tools and the IRT analysis that provides the reporting formats are presented together with some research uses of the tools.

Easier analysis and better reporting : modelling ordinal data in mathematics education research

This article presents an examination of the use of Rasch modelling in a major research project, 'Improving Middle Years Mathematics and Science' (IMYMS). It is unarguable that it is important to take students' perceptions, or views, into account when planning learning and teaching for them. The IMYMS student perceptions survey is an attempt to make visible these student viewpoints, and report them in a way that is accessible to teachers and researchers involved in the project. The project involves four clusters of schools from urban and regions of Victoria to investigate the role of mathematics and science knowledge and subject cultures in mediating change processes in the middle years of schooling. There are five secondary and twenty-eight primary schools. The project has generated both qualitative and quantitative data, with much of the qualitative data being ordinal in nature. Reporting the results of analyses for a range of audiences necessitates careful, well-designed report formats. Some useful new report formats based on Rasch modeling -the Modified Variable Map, the Ordinal Map, the Threshold Map, and the Annotated Ordinal Map - are illustrated using data from the IMYMS project. The Rasch analysis and the derived reporting formats avoid the pitfalls that exist when working with ordinal data and provide insights into the respondents' views about their experiences in schools unavailable by other approaches.

Assessing effects of technology usage on mathematics learning

Computer-based technologies are now commonplace in classrooms, and the integration of these media into the teaching and learning of mathematics is supported by government policy in most developed countries. However, many questions about the impact of computer-based technologies on classroom mathematics learning remain unanswered, and debates about when and how they ought to be used continue. An increasing number of studies seek to identify the effects of technology usage on classroom learning, and at a time when governments are calling for 'evidence-based' policy development, many studies applying quasi- scientific methodologies to this field of practice are emerging. By analysing a series of conceptual frameworks for assessing the use of computer-based technologies to support school learning, this article emphasises the value of research into the relationship between technical and conceptual aspects of technology use in mathematics education and beyond, and challenges the usefulness of large-scale, quasi-scientific studies that focus on educational inputs and outputs.

Australian and US preservice teachers' perceptions of the gender stereotyping of mathematics

Historically mathematics was considered a pursuit more suited to males than females. Using a new instrument, contemporary high school students' beliefs about the gender stereotyping of mathematics have been measured and an apparent change in beliefs reported. The same instrument was administered to preservice teachers in Australia and the USA. These countries share common social and cultural characteristics and both were active in addressing identified female disadvantage in mathematics education outcomes. The preservice teachers were asked to respond to the survey items as they believed high school students would answer. The Australian and US preservice teachers' responses were compared. The results are reported and discussed in this paper.