Many studies have confirmed that digital game-based learning can effectively improve students' learning motivation and that properly integrating learning strategies into digital games can effectively improve students' learning achievement. However, rare research has been considered the long-term effect of learning retention. In the current study,…

This study investigated 77 Taiwanese pre-service primary teachers' beliefs, knowledge and emotions about mathematics teaching and learning by using a drawing task: specifically, creating pictures of themselves as mathematics teachers at work. Its major findings were: (1) The majority of the participants chose to illustrate a mix of teacher- and…

Increasing the supply of qualified teachers is a priority in many nations as a prerequisite to accomplishing UNESCO's Sustainable Development Goal 4 (SDG 4) to "ensure inclusive and equitable quality education and promote lifelong learning opportunities for all" by the year 2030. Questions remain however concerning definitions and…

Background: Number sense is a key topic in mathematics education, and the identification of children's misconceptions about number is, therefore, important. Information about students' serious misconceptions can be quite significant for teachers, allowing them to change their teaching plans to help children overcome these misconceptions. In…

This paper discusses the effects of large-scale studies, including international comparative studies and national studies using nationally representative samples, on policy making and practices pertinent to mathematics education in Taiwan, through the lens of Taiwanese societal and cultural characteristics. Taiwan has been through several…

Visual representation has been recognized as a powerful learning tool in many learning domains. Based on the assumption that visual representations can support deeper understanding, we examined the effects of visual representations on learning performance and cognitive load in the domain of mathematics. An experimental condition with visual…

Using data from the international Teacher Education and Development Study: Learning to Teach Mathematics (TEDS-M), the measurement equivalence of teachers' beliefs across countries is investigated for the case of "mathematics-as-a fixed-ability". Measurement equivalence is a crucial topic in all international large-scale assessments and…

Motivational constructs and students' engagements have great impacts on students' mathematics achievements, yet they have not been theoretically investigated using international large-scale assessment data. This study utilized the mathematics data of the Trends in International Mathematics and Science Study 2011 to conduct a comparative and…

This study developed a computer-assisted mathematical problem-solving system in the form of a network instruction website to help low-achieving second- and third-graders in mathematics with word-based addition and subtraction questions in Taiwan. According to Polya's problem-solving model, the system is designed to guide these low-achievers…

The "Teacher Education and Development Study in Mathematics" assessed the knowledge of primary and lower-secondary teachers at the end of their training. The large-scale assessment represented the common denominator of what constitutes mathematics content knowledge and mathematics pedagogical content knowledge in the 16 participating…

This study analyzes measurement learning expectations involving area and volume in grades 1-8 across several U.S. states and high-performing TIMSS Asian countries, including Singapore, Taiwan, and Japan. Based on a review of official curriculum documents, results of this study indicate that the mathematics content, grade placement, and cognitive…

In traditional mathematics education, students have typically been asked to solve lots of tedious and uninteresting exercises for developing the arithmetic skills of addition and subtraction. The paper provides an account of learning arithmetic skills in a more interesting way through the collaborative playing of a puzzle game. 83 students in…

As more primary and secondary students worldwide seek after-school tutoring in academic subjects, concerns are being raised about whether after-school tutoring can raise average test scores without widening the variability in student performance, and whether students of certain ability levels may benefit more than others from after-school…

This article examines the teacher preparation program learning opportunities afforded future lower secondary mathematics teachers and future elementary teachers who may teach mathematics. Data from U.S. participation in the recent international Teacher Education and Development Study in Mathematics are explored against international profiles to…

The purpose of this research is to find the relationships among attributes of creative problem solving ability and their relationships with the Math Creative Problem Solving Ability. In addition, the attribute patterns of high, medium, and low mathematical creative groups were identified and compared. There were 409 fifth and sixth graders…