Integrating literacy in science and mathematics learning and teaching has been an ongoing endeavour. There are frameworks developed to guide teachers' practices, but little is reported on assessing literacy simultaneously with scientific or mathematical content knowledge. We reviewed the literature on assessing literacy in science and mathematics…

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…

A one-on-one dialogue-based mathematics intelligent tutoring system (ITS) for learning multiplication and division of fractions was developed and evaluated in this study. This system could identify students' error types and misconceptions in real-time by using a block-based matching method. The adaptive dialogue-based instruction was supported by…

In this study, we aim to investigate the types of questions that Taiwanese mathematics teachers pose and in which instructional situations they do so during mathematics lessons at the secondary school level. The classroom teaching of six experienced mathematics teachers was analyzed. Quantitative analysis showed that the mathematics teachers tend…

This study examined the effects of students' motivational beliefs and school mathematics instructional quality on students' mathematics achievement based on the Opportunity Propensity Framework. We selected 8854 15-year-old students from 683 schools across 5 countries/economies (Hong Kong, Macao, Shanghai-China, Singapore, Chinese Taipei) in PISA…

To solve mathematical modelling problems, students must translate real-world situations, which are typically presented in text form, into mathematical models. To complete the translation process, the problem-solver must first understand the real-world situation. Therefore, reading comprehension can be considered an essential part of solving…

This extended literature review explores four broad themes concerning mathematics education, the first of which is on how U.S. school-aged children have been performing in mathematics at the national and international levels. Findings demonstrated that at the national level, their performance has been stagnant for many decades for high school…

This study is part of the international survey studies on teachers' beliefs concerning the integration of children's literature in mathematics teaching and learning, and this paper reports the findings of the thematic analysis of open-ended survey responses elicited from 287 primary school teachers and teacher trainees in Taiwan. Using the seminal…

Results of international comparison studies show substantially better mathematics performance of the investigated Asian than European students from the early years on. A Taiwanese-German Research Program (TaiGer) engages in exploring differences and similarities in the educational system, in teachers' knowledge and beliefs and in teaching or…

Over the recent decades, much empirical evidence has shown the benefits of problem-based learning (PBL) over traditional teacher-centred pedagogy. However, research on problem-based learning (PBL) has focused more on students' learning outcomes and less on what it might take for teachers to implement it, especially in primary school and in…

This study examines the different ways in which fractions are dealt with in two elementary mathematics textbook series: Kang Hsuan (KH) in Taiwan and Laskutaito in Finland. The results showed that the total number of fraction questions in Laskutaito is higher than that in KH and that Laskutaito highlights the basic definition of fractions to help…

Although Ball and her colleagues provided empirical evidence to support the existence of the six subdomains in mathematical knowledge for teaching (MKT) and further explained or defined the majority of these sub-domains, there were few explanations of what horizon content knowledge (HCK) embedded in MKT meant and they merely provided ideas about…

Geometry is essential for mathematics learning given that it is strongly related to our surroundings; however, few studies concentrated on using geometry in our daily life, especially using mobile devices with their sensors. Thus, this study proposed one app, Ubiquitous Geometry (UG), and explored its effects on learning angles and polygons in…

Teachers' inquiry-based mathematics teaching (IBMT) competence is often acquired and developed through participation in professional development programs (PDPs), but researchers have not established an effective method of assessing teachers' performance in this area. Moreover, the definition of IBMT, and the relationship between teachers'…