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Research in undergraduate mathematics education (RUME), the study of teaching and learning of college mathematics, is a new area of research in mathematics. Information to support this discipline is found in publications from all over the world, in the form of monographs, reports, research guidelines and resource manuals, as well as journal articles. Researchers in RUME require access to materials that are specific not only to their field, but also to the broader literature of mathematics, education, learning theories, instructional strategies, alternative assessment techniques, cognitive development and human behavior. This annotated bibliography is designed to be a template for a comprehensive and up‐to‐date collection of RUME resources. World Wide Web (Web) locations for many of the items are provided, as are descriptions of several Web sites that present information of interest to RUME researchers.

In this study in the United Arab Emirates (UAE), we investigated college students’ perceptions of their past experience of receiving one-to-one tutoring support in mathematics when they were in secondary school. In addition, we also explored students’ reasons for taking one-to-one tutoring in mathematics, the perceived impact of one-to-one tutoring in overcoming shortcomings of school mathematics teaching and on their mathematics achievement, and whether the learning environment at school influenced decisions about having one-to-one tutoring. Eight case-study students were involved in recalling how beneficial one-to-one tutoring was through semi-structured interviews. Because of the small sample size, the research involved only qualitative data based on the recollections of college students who were attending a one-year course in the General Education department of Abu Dhabi Men’s College. The research provided valuable insights into how some students considered having a one-to-one tutor beneficial for their achievement when they were in secondary school. Educators must consider students’ learning environment as being one of the main reasons for deciding whether or not to undertake one-to-one tutoring to raise their achievement in mathematics.

ﻓﻲ ھذه اﻟد را ﺳﺔ ﻓﻲ دوﻟ ﺔ ا ﻹﻣﺎ را ت اﻟ ﻌرﺑﯾﺔ اﻟ ﻣﺗ ﺣدة، د رﺳﻧﺎ ﺗ ﺻورا ت طﻼب اﻟ ﺟﺎ ﻣﻌﺎ ت ﻋن ﺗ ﺟرﺑﺗﮭم اﻟ ﺳﺎﺑﻘﺔ ﻓﻲ ﺗﻘدﯾم د ﻋم ﺗﻌﻠﯾﻣ ﻲ ﻓ رد ي ﻓﻲ اﻟ رﯾﺎ ﺿﯾﺎ ت ﻋﻧدﻣﺎ ﻛﺎﻧ وا ﻓﻲ اﻟ ﻣد رﺳﺔ اﻟﺛﺎﻧ وﯾﺔ. ﺑﺎ ﻹ ﺿﺎﻓﺔ إ ﻟ ﻰ ذ ﻟ ك ، ا ﺳ ﺗ ﻛ ﺷ ﻔ ﻧ ﺎ أ ﯾ ﺿً ﺎ أ ﺳ ﺑ ﺎ ب ا ﻟ ط ﻼ ب ﻹ ﺟ ر ا ء د ر و س ﻓ ر د ﯾ ﺔ ﻓ ﻲ اﻟر ﯾﺎ ﺿ ﯾﺎ ت ، وا ﻟﺗﺄﺛﯾ ر اﻟ ﻣﻠ ﺣو ظ ﻟﻠ د رو س اﻟﻔ ردﯾ ﺔ ﻋﻠ ﻰ ﺗ ﺣ ﺻ ﯾﻠ ﮭم ﻓ ﻲ اﻟر ﯾﺎ ﺿ ﯾﺎ ت ، وﻣ ﺎ إذا ﻛﺎﻧ ت ﺑﯾﺋﺔ اﻟﺗ ﻌﻠم ﻓ ﻲ اﻟ ﻣد رﺳﺔ ﻗد أﺛ ر ت ﻋﻠ ﻰ اﻟﻘ را را ت اﻟ ﻣﺗ ﻌﻠﻘﺔ ﺑﺎ ﻟ ﺣ ﺻ ول ﻋ ﻠ ﻰ ﺗد ر ﯾ ب ﻓ ر د ي . د ر س وا ﺣ د. ﺷ ﺎ ر ك ﺛ ﻣﺎﻧ ﯾ ﺔ ﻣ ن ط ﻼ ب د ر ا ﺳ ﺔ اﻟﺣ ﺎﻟ ﺔ ﻓ ﻲ اﻟﺗذﻛﯾ ر ﺑ ﻣد ى ﻓﺎﺋدة اﻟﺗد رﯾ س اﻟﻔ رد ي ﻣ ن ﺧﻼل ﻣ ﻘ ﺎ ﺑ ﻼ ت ﺷ ﺑ ﮫ ﻣ ﻧ ظ ﻣ ﺔ . ﻧ ظ رً ا ﻟ ﺻ ﻐ ر ﺣ ﺟ م ا ﻟ ﻌ ﯾ ﻧ ﺔ ، ﺗ ﺿ ﻣ ن ا ﻟ ﺑ ﺣ ث ﻓ ﻘ ط ﺑ ﯾ ﺎ ﻧ ﺎ ت ﻧ و ﻋ ﯾ ﺔ ا ﺳ ﺗ ﻧ ﺎ دًا إ ﻟ ﻰ ذ ﻛ ر ﯾ ﺎ ت ط ﻼ ب ا ﻟ ﺟ ﺎ ﻣ ﻌ ﺎ ت ا ﻟ ذ ﯾ ن ﺣ ﺿ ر و ا دو رة ﻣدﺗ ﮭﺎ ﻋﺎم وا ﺣد ﻓ ﻲ ﻗ ﺳم اﻟﺗ ﻌﻠﯾم اﻟ ﻌﺎم ﻓ ﻲ ﻛﻠﯾﺔ أﺑو ظ ﺑ ﻲ ﻟ ﻠ ط ﻼ ب . ﻗ د م ا ﻟ ﺑ ﺣ ث ر ؤ ى ﻗ ﯾّﻣ ﺔ ﺣ و ل ﻛﯾ ﻔﯾ ﺔ ﻧ ظر ﺑ ﻌ ض اﻟ طﻼب ﻓ ﻲ وﺟود ﻣد ر س وا ﺣد ﻣﻔﯾد ﻟﺗ ﺣﻘﯾﻘ ﮭم ﻋﻧدﻣ ﺎ ﻛﺎﻧ وا ﻓ ﻲ اﻟ ﻣد رﺳﺔ اﻟﺛﺎﻧ وﯾ ﺔ. ﯾ ﺟ ب ﻋﻠ ﻰ اﻟ ﻣﻌﻠ ﻣﯾ ن ا ﻋﺗﺑﺎ ر ﺑﯾﺋ ﺔ ﺗ ﻌﻠم اﻟ طﻼب وا ﺣدة ﻣ ن ا ﻷﺳﺑﺎ ب اﻟ رﺋﯾ ﺳﯾ ﺔ ﻟﺗ ﻘ ر ﯾ ر ﻣﺎ إ ذا ﻛﺎ ن ﯾ ﺟ ب ﻋ ﻠﯾﮭم إ ﺟ ر ا ء د ر و س ﻓ ر دﯾ ﺔ أ م ﻻ ﻟ ر ﻓ ﻊ ﻣ ﺳ ﺗ و ى ﺗ ﺣ ﺻ ﯾﻠﮭم ﻓ ﻲ اﻟ ر ﯾﺎ ﺿ ﯾﺎ ت .

Are education systems converging toward a global model of teacher education or do local models tend to predominate in spite of attempts to reform them? How much do global, national, and local cultures shape and condition future teachers’ opportunities to learn to teach? How do these opportunities influence teachers’ pedagogical content knowledge? In this chapter we use data from the IEA’s first study of the effectiveness of pre-service teacher education in order to investigate teacher education policy, program structure, and outcomes. Using multilevel modeling we found that across countries individual characteristics have a similar and powerful influence on what future teachers come to know at the end of their pre-service programs. The effects of teacher education curriculum on future teachers’ mathematics pedagogical content knowledge reaffirm the prevalence of local cultures on the implementation of an increasingly globalized ideal. We conclude that while the provision of teacher education shares many common features in goals and structure across countries, it is strongly influenced by local conditions and norms, and by cultural notions of the knowledge that is considered essential – framing how quality is to be defined and operationalized – when learning to teach.

International assessments have shown gender disparity in STEM among middle school students. Little is known of the gender disparity, the role of psychosocial factors, and school-to-work aspirations in STEM fields in the Cambodian context. The sample included 100 15-year-old students (53% females) from 10 schools in four provinces and the capital city. Classroom observations included eight classrooms from one of the 10 surveyed schools. This study’s measures were adapted from TIMSS’s including science and math interests, and perceived STEM support from teachers and parents. Results indicated that non-STEM subjects are on top of the most enjoyed subjects reported by the students. No statistical significance between genders on STEM interests was found. A multiple regression analysis showed that parents’ and teachers’ support in math, and teachers’ support in science, were predictive of STEM interests. Both parents and students tended to value math more than science, indicating a possible lack of understanding of science. Students showed a significant disconnect between STEM education received in classrooms and aspirations toward an actual career in STEM fields. Classroom observations indicated that while females tended to be shy in the classroom, most teachers did not exhibit behaviors suggesting gender discrimination patterns. Explanations of students’ interests in STEM regardless of gender, as well as the current climate in higher education and careers regarding the gender disparity in STEM, were discussed based on socioeconomic and sociocultural issues within the Cambodian context.

Mathematics can be a challenging content area for all students and especially for students with disabilities. Assistive technology can support the access, participation and achievement of students with disabilities in mathematics in general and in inclusive mathematics settings in particular. In this chapter, assistive technology to academic and functional mathematics will be discussed; particularly, manipulatives, calculators and other technology-mediated mathematics interventions (e.g., apps or computer programs) will be highlighted.

Efforts to promote equity in mathematics education are becoming more widespread. The National Council of Teachers of Mathematics elevated its position on equity from one of societal need to one of six guiding principles required to ensure excellence in mathematics education. I investigate how efforts to promote educational equity in mathematics education are informed by democratic views. In particular, I examine the intersection of course taking, equity, mathematics, and democracy in the context of a case study conducted in one high school mathematics department. This case study was conducted over one academic year, and data included a focus survey, interviews, field notes from department meetings and class observations, and school documents. In this study, I investigated the curricular redesign process undertaken by one high school mathematics department addressing high failure rates in low-level courses disproportionately enrolled with students of color designed to increase access to more advanced mathematics courses. I discuss how those changes impacted access, influenced equity, and aligned with democratic aims and their relationship to mathematics education.

Flipped classroom approaches (FCA) are an educational innovation that could increase students' learning outcomes in, and their enjoyment of, mathematics or STEM education. To integrate FCA into education sustainably, professional teacher development (PTD) is a promising tool. The research aim is to explore which aspects should be considered when developing and implementing professional mathematics or STEM teacher development for flipped approaches.

A total of 20 expert interviews were conducted and analysed according to a synthesis of grounded theory approaches and qualitative interview study principles.

Evaluating the interview data indicates that the characteristics of different teacher types in PTD, learning activities in PTD and the DSE model derived in this study could be vital elements in professional mathematics or STEM teacher development for flipped approaches.

Evaluating the interview data indicates that the characteristics of different teacher types in PTD, learning activities in PTD and the DSE model derived in this study could be vital elements in professional mathematics or STEM teacher development for flipped approaches.

This paper aims to identify the current situation of higher education institutions in Spain regarding the introduction of the Sustainable Development Goals in the classroom, and what is the role of mathematics in this task.

A review is made of how the concept of sustainability has evolved in higher education, its gradual introduction in the University and the way in which this subject is approached in the field of mathematics.

The study concludes that higher education has a key role to play in designing strategies that lead to the global sustainability of the planet. This implies major changes in degree curricula, assessment, competences and teacher training. Cross-disciplinarity and interdisciplinarity between different subjects within the same degree is a strategy for students to analyse the Sustainable Development Goals using mathematical techniques.

The University as an institution must train socially responsible professionals who are aware of the importance of promoting a sustainable world. Changes should be made to introduce values in the classroom that promote and encourage sustainability. Training should be seen as a continuous process that leads to the preparation of professionals committed to society and nature and who develop strategies aimed at improving the planet through values.

Through practical activities, the Sustainable Development objectives can be analysed from several subjects of the same degree, emphasising the interdisciplinary and transversal nature that should be the central axis of higher education. Each subject can develop a strategy for change in favour of sustainability that will be reinforced and increased by working together on the proposed teaching practice. In this way, the contents of the different subjects are not isolated, but rather the student can see how there is an interrelationship between them and with real life.

Mathematics education in the twenty-first century faces new challenges that necessitate updates to mathematics curricula. This chapter analyses the updates made to Hong Kong’s mathematics curriculum in 2017 by using the curricular spider web (van den Akker, 2003), which consists of 10 curriculum components, namely the rationale behind the curriculum, aims and objectives, content, learning activities, teacher role, materials and resources, grouping, location, time, and assessment. The findings of this analysis suggest that Hong Kong’s mathematics curriculum has been developed in line with the changing trends of international mathematics curricula, which are influenced by globalisation and internationalisation. Future research could compare the mathematics curriculum in Hong Kong with those in other parts of the world.