The teacher's use of representations is a crucial aspect of instructional quality in mathematics education, given their pivotal role in facilitating mathematics learning. However, in our international research community, perspectives on what constitutes high-quality use of representations may vary. This cross-cultural study aims to explore whether…

Concept-based teaching is presumably more effective than popular procedure-based instruction in helping students develop conceptual understanding, an important conceptual base for mathematics teaching reforms in many countries. This study examined the extent to which this assumption is true by controlling the influences of student socioeconomic…

The purpose of this study was to investigate the relationship among student-centred beliefs, technology value beliefs and technological pedagogical content knowledge (TPACK) in junior high school mathematics teachers. A survey was administered to 408 teachers in Taiwan. Regression analysis results showed that teachers' student-centred beliefs and…

This study explored and compared the perspectives of Taiwanese in-service and pre-service high school mathematics teachers regarding ideal teaching behaviours; the perspectives of a nationwide sample of students were taken as the baseline. Fourteen factors contributing to ideal teaching behaviours were identified through exploratory factor…

This paper presents some results of an investigation on the number sense of a group of pre-service secondary teachers from Spain. The objective of this research was to analyze students' use of strategies associated to number sense and compare them with those obtained in a previous study with pre-service primary teachers in Taiwan, (Yang, Reys…

This study analyzed geometry problems in four middle-grade mathematics textbook series from Taiwan, Singapore, Finland, and the United States, while exploring the expectations for students' learning experiences with these problems. An analytical framework developed for mathematics textbook problem analysis had three dimensions: representation…

Most students thinking mathematics is a difficult subject. This study aims to enhance students' motivation and efficiency in learning mathematics. This study developed 3D animation on the binomial theorem with historical stories of mathematics as the plot. It also examined the effect of animation on students' learning willingness and…

PISA is a large international educational assessment activity coordinated by the "Organization for Economic Co-operation and Development" (OECD). PISA's "Functional Literacy" emphasizes the theoretical concept of mathematics as a human activity. From this pedagogical point of view, PISA's "mathematization cycle"…

The present study aimed to examine the effectiveness of the flipped classroom learning environment on learner's learning achievement and motivation, as well as to investigate the effects of flipped classrooms on learners with different achievement levels in learning mathematics concepts. The learning achievement and motivation were measured by the…

This study employed latent class cluster analysis to explore students' perceptions of what aspects of mathematical literacy, composed of mathematics competencies and attitudes, teachers should focus on. The sample included 1,219 Taiwanese senior high school students and 59 mathematics teachers. Three profiles were identified for mathematics…

Mathematical disposition could influence learning and performance, they usually determine how well students motivate themselves and persevere in the face of difficulties, and they influence the choices-making about coursework, and even educational and career paths. The aim of this study is to investigate the same students' mathematical disposition…

We examined geometric calculation with number tasks used within a unit of geometry instruction in a Taiwanese classroom, identifying the source of each task used in classroom instruction and analyzing the cognitive complexity of each task with respect to 2 distinct features: diagram complexity and problem-solving complexity. We found that…

This study integrates augmented reality (AR) technology into teaching activities to design a learning system that assists junior high-school students in learning solid geometry. The following issues are addressed: (1) the relationship between achievements in mathematics and performance in spatial perception; (2) whether system-assisted learning…

The knowledge sharing process within a virtual community of teacher professionals is viewed as a social exchange process in that the knowledge sharing intention and behavior of individuals are influenced by the exchange relationship among members. However, relatively little research has focused on this approach to exploring the factors that…

The aim of this study is to investigate the effects of solution methods and question prompts on generalization and justification of non-routine problem solving for Grade 9 students. The learning activities are based on the context of the frog jumping game. In addition, related computer tools were used to support generalization and justification of…