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This study was done to compare the modes of teaching mathematics in higher education in the United Arab Emirates (UAE). The three teaching methods were used as follow: before, during and after the COVID-19 pandemic. The three teaching methods are: (1). Normal on-campus face-to-face teaching and learning activity before the COVID-19 pandemic. (2). Full online teaching and learning activity during the COVID-19 pandemic. (3). Blended teaching and learning activity after the COVID-19 pandemic.

Over the last few years, there has been a considerable amount of literature investigating the efficacy of the various delivery modes: on-campus delivery (face-to-face), online delivery and blended learning (hybrid), in helping college students improve their mathematical skills. However, the extent to which one learner learns best has been hotly debated among the researchers. Therefore, this study aims to compare the efficacy of implementing three teaching and learning delivery modes before, while, and after the COVID-19 pandemic: on-campus delivery (face-to-face), online delivery and blended learning (hybrid) on academic achievement in mathematics at a higher education institution in the UAE. The main research question explores whether there is a statistically significant difference (p = 0.05) in students’ academic based on the delivery methods: on-campus face-to-face, online and blended learning. The participants in the study were students from one of the largest higher education institutions in the UAE, and all of them studied the same mathematics course before, during and after the COVID-19 pandemic. Student scores in the three academic semesters were thoroughly compared and analyzed using the ANOVA test to check if there is a significant difference between the three groups followed by a Tukey test to identify the significant difference in favor of which group. The results showed that there were significant differences in the mean scores in the students’ achievement in the mathematics courses favoring the blended learning delivery mode. The findings also show that the students’ achievement in mathematics using the on-campus face-to-face teaching and learning was better than the students’ achievement in mathematics using online teaching and learning delivery modes.

The main study question was: is there a statistical significant difference at the significance level (a = 0.05) in students’ achievements in mathematics courses at higher education in the UAE, which can be attributed to the method of teaching? The descriptive statistics reveal that the average student’s score in the final exam after the COVID-19 pandemic is 65.7 with a standard deviation of 16.65, which are higher than the average student’s score in the final exam before the COVID-19 pandemic of 58.7 with a standard deviation 20.53, and both are higher than the average students’ score in the final exam during the COVID-19 pandemic 51.8 with standard deviation 21.48. Then, the ANOVA test reveals that there is a statistically significant difference between the three groups in the final exam marks. The researchers used the multiple comparison tests (Tukey test) to determine the difference. The Tukey test reveals that there is a statically significant difference between the average students’ score in the final exam after the COVID-19 pandemic and the average students’ score in the final exam during the COVID-19 pandemic, where p = 0.015 < 0.05 as well as there is a statically significant difference between the average students’ score in the final exam after the COVID-19 pandemic and the average students’ score in the final exam before the COVID-19 pandemic, where p = 0.000 < 0.05 in favor of the average students’ score in the final exam after the COVID-19 pandemic. On the other hand, there is a statically significant difference between the average students’ score in the final exam before the COVID-19 pandemic and the average students’ score in the final exam during the COVID-19 pandemic, where p = 0.016 < 0.05 in favor of the average students’ score in the final exam before the COVID-19 pandemic.

There are several limitations that may reduce the possibility of generalizing the expected results of the current study to students outside the study population: (1) The study is limited to students of a federally funded postsecondary education institution in the UAE, in which most students are studying in their non-native language. (2) The study is limited to the mathematics courses. (3) The achievement test used in the study is a standardized test developed by the college as a cross-campus summative assessment.

The hybrid education model, also known as blended learning, combines traditional face-to-face instruction with online learning components. When applied to teaching mathematics in higher education, this approach can have several implications and benefits. Here are some key points supported by references: (1) Enhanced Accessibility and Flexibility: hybrid models offer flexibility in learning, allowing students to access course materials, lectures and resources online. This flexibility can accommodate diverse learning styles and preferences. A study by Means et al. (2013) in “Evaluation of Evidence-Based Practices in Online Learning” highlights how blended learning can improve accessibility and engagement for students in higher education. (2) Personalized Learning Experience: by incorporating online resources, instructors can create a more personalized learning experience. Adaptive learning platforms and online quizzes can provide tailored feedback and adaptive content based on individual student needs (Freeman et al., 2017). This individualization can improve student performance and understanding of mathematical concepts. (3) Increased Student Engagement: the integration of online components, such as interactive simulations, videos and discussion forums, can enhance student engagement and participation (Bonk and Graham, 2012). Engaged students tend to have better learning outcomes in mathematics. (4) Improved Assessment and Feedback Mechanisms: hybrid models allow for the implementation of various assessment tools, including online quizzes, instant feedback mechanisms and data analytics, which can aid instructors in monitoring students’ progress more effectively (Means et al., 2013). This timely feedback loop can help students identify areas needing improvement and reinforce their understanding of mathematical concepts. (5) Cost-Effectiveness and Resource Optimization: integrating online materials can potentially reduce overall instructional costs by optimizing resources and enabling efficient use of classroom time (Graham, 2013). (6) Challenges and Considerations: despite the benefits, challenges such as technological barriers, designing effective online materials and ensuring equitable access for all students need to be addressed (Garrison and Vaughan, 2014). It requires thoughtful course design and continuous support for both students and instructors. When implementing a hybrid education model in teaching mathematics, instructors should consider pedagogical strategies, technological infrastructure and ongoing support mechanisms for students and faculty.

The research is the first research in the UAE to discuss the difference in teaching mathematics in higher education before, during and after the COVID-19 pandemic.

The aim of the study is to better understand how lesson study (LS) contributes to challenging teachers' views of mathematics teaching and learning.

This study is part of a wider ongoing project aiming at improving primary mathematics teaching in Malawi through professional development (PD) of teachers using a LS model. The units being analyzed are teachers' written reflections and lesson plans. The analytical approach is qualitative content analysis.

Initially, the participating Malawian primary teachers report traditional views of mathematics teaching and learning. After having participated in a LS cycle, they reported on the need to work on how to involve and create space for learners' participation in mathematic lessons and highlight the importance for learners to discover mathematics on their own.

This is a small-scale study due to LS being quite new in the Malawian context and the need to test before possible upscaling.

The paper includes a description on how LS might contribute to challenging Malawian teachers' views of mathematics teaching and learning; this can be valuable information for others who are attempting to use LS in a similar context.

This paper fulfills an identified need to learn more about how LS might contribute to challenging teachers' views of mathematics teaching and learning worldwide.

This chapter outlines the importance of enhancement courses, particularly in mathematics, to the preservice landscape in England. These programs occur after an individual has completed a degree but before admittance to preservice teacher education. The pedagogies used in these programs are characterized as both pedagogies of teacher preparation and of selection for preservice. The learning that takes place in these programs is an under-researched area. The chapter addresses that issue by specifying, analyzing, and justifying the pedagogies of teacher preparation deployed in the context of one mathematics enhancement course (MEC). We draw on international research to argue that there is a specific body of knowledge for teaching their subject area, which all teachers need to generate. In terms of empirical work and personal scholarship, the chapter is based primarily on the scholarship and practice of the first author, Clarke, between 2008 and 2014. We present an exemplar of teaching, following the principles of the pedagogies of preparation in place for the MEC. These pedagogies aim to develop for student teachers a profound or “relational understanding” of fundamental mathematics, aiming for the re-experiencing and re-construction of an aspect of mathematics, which they first learned as young grade school students. We argue that a distinctive form of mathematical knowledge is thus produced in and through the teaching processes. In the final part of the chapter, we outline the conditions in which these pedagogies might be adopted in other contexts, arguing that they represent good practice in teaching subject knowledge in all teacher education programs.

The focus of this chapter is on the effective and inclusive classroom practices for the teaching and learning of mathematics at the primary and early secondary levels. The research literature and major national and international reports on effective and inclusive mathematics teaching at the primary and secondary levels of schooling are examined. Some of the challenges to inclusive mathematics teaching are explored. Based in Florian’s (2014) inclusive pedagogical approach in action framework, a research-based exemplar of effective and inclusive primary mathematics teaching is described. The elements of effective and inclusive practices at the secondary level are outlined and a sample lesson presented. Potential impediments to inclusivity are examined.

For more than a decade there have been calls to change professional development and teacher education. A central task and challenge for teacher educators is to design learning experiences that offer the greatest potential for improving teacher practice. Recently, videos of classrooms have emerged as tools for teacher learning. This chapter will consider the issues we faced attempting to create a coherent, sequenced professional development curriculum using video to help teachers improve mathematics teaching and learning. We will share some of the principles that guided the work, what we’ve been learning and indicate where we feel more research is needed.

The purpose of this paper is to explore what professional knowledge and competence (PKC) that knowledgeable others, namely, mathematics teaching research specialists (MTRS) in China, need to know, and how they may develop their PKC.

This study adopts mixed methods. A survey on PKC with 549 MTRS is utilized to examine MTRS’ perceived held and ideal PKC and perceived effective ways of developing their PKC. The responses to the open-ended questions on the survey were used to identify additional dimensions of PKC and ways of developing PKC. Multiple techniques of quantitative data analysis were employed to feature the characteristics of PKC and structure of the survey, and the relationship between background variables and perception of PKC. Collectively, this study paints a rich and comprehensive picture about Chinese knowledgeable others’ knowledge and competence, and its development.

The data analysis reveals that the participants appreciated the six-dimension model of MTRS’ PKC. They were confident with their PKC in general, but varied in different aspects. The factor analysis showed the six-dimension model could be further clustered into two components: knowledge about mathematics teaching and learning and competence in mentoring and educational leadership, and knowledge about content, assessing student learning, and use of technology. The participants perceived their learning through multiple ways including: learning through reading, attending specific training programs, attending and mentoring teaching research activities both school-based and across regions, observing and debriefing lessons, sharing within online learning communities. All these venues jointly contribute to developing MTRS’ PKC.

This is the first empirical study on MTRS’ PKC and its development in China based on such a large sample. The findings of this study not only contribute to an understanding of knowledgeable others in Chinese lesson study and providing suggestions for support of their development, but also provide implications for studies of practice-based mathematics teacher-educators globally.

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.

The purpose of this paper is to examine practicing mathematics teachers’ learning through parallel lesson study in China. Lesson study in China has been practiced for decades. Parallel lesson is an enriched mode of lesson study to address the implementation of new curriculum.

The expansive learning perspective has been used to explore the ways practicing teachers learned to improve teaching through the transformation of learning objects and boundary crossing.

Two cases are illustrated and compared to highlight features of teachers’ learning through parallel lesson study. The practicing teachers developed their competence in transforming instructional objectives and task selection and implementation. In addition, they also developed professional vision in alignment with the reform-oriented curriculum.

This study makes significant contribution to understanding teachers’ learning through lesson study in China. Meanwhile, it also demonstrates how the theory of expansive learning could be used as a conceptual framework to examine teachers’ learning through lesson study.

This chapter provides a synthesis of the research project which investigated whether or not the most recent mathematics curriculum reform has reached the classroom and influenced classroom practice and student learning in the mainland China. Three types of evidence for change as a result of the curriculum reform were examined. These included the beliefs and perceptions of teachers about learning and teaching mathematics, the cognitive features of learning tasks and of classroom interaction that were implemented in classroom, and student learning outcomes. Two groups of elementary math teachers and their students participated in the study. One group had participated in the reform implementation in classroom for several years, and the other group had used the conventional curriculum when the project was conducted in 2005. About 150 videotaped class sessions were analyzed from 58 classrooms of the two groups. Survey methods were used to probe the changes in the beliefs and perceptions of teachers about teaching and learning mathematics. The student learning outcomes were assessed for three times with multiple measures of mathematics achievement. Findings of the project provide the converging evidence that the curriculum reform has resulted in some of the expected changes. Reform teachers were more likely to hold a dynamic view of mathematics and to indicate the importance to provide students the learning opportunity to hypothesize, to proof, and to communicate in learning mathematics. The reform classrooms used more learning tasks with higher cognitive demands. The teachers in the reform classrooms asked more questions that required students to describe procedures leading to their answers and the students in the reform classrooms raised more questions in learning mathematics. Students of the reform classrooms showed to have achieved a relatively more balanced development in different cognitive areas of mathematics achievement.

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 .