Tailoring workshop (TW), a school-based teacher training program, has been developed in China on the basis of the Teaching Research Groups (TRGs) to better focus on teacher's genuine needs, improve their problem-solving ability, and inter-subject collaboration. Literature on teacher workshops predominately roots in western settings whereas scant…

This research aimed to determine the difficulties that the students experience in inequality solutions that contain inequality in general and rational (proportional) expressions, and to solve these difficulties with an activity. Totally 108 students, who were enrolled in the Department of Mathematics and Science Education, consisted respectively…

Mathematical modeling is a challenging and creative process. If one considers only interim or final solutions to modeling problems or interviews modelers afterward, often only their "explicit" models are accessible -- those expressed in work products or evinced in verbal and written reflections. The inner world of tacit knowledge and its…

Eliciting student thinking during mathematics instruction allows teachers to choose tasks with high cognitive demand while also engaging students to use productive struggle to solve mathematical problems, thus increasing their conceptual understanding. Often, students who require intensive intervention in mathematics, in particular, students who…

Boaler (2016) asserted that problem posing is the "essence of real mathematics", yet many students do not have opportunities to pose and then solve their own mathematical questions. Rather, students spend their time solving tasks someone else posed--often their teacher or textbook. To promote problem posing, the author designed,…

Teaching axiomatic representation of mathematical objects in all grades can and should be done. The paper analyzes students' understanding and how they perceive theorems using problem posing. We looked at how English-language learners create questions about four geometric theorems from a 9th-grade math textbook. The analysis looks at the…

In this article, we draw on sociocultural perspectives on literacy to explore the ways in which pre-engineering students took up and made sense of engineering notebooks implemented as part of a robotics project in a first-semester university study course at a large, public Hispanic-Serving Institution. Through ethnographic methods, we uncovered…

A case study of calculus instructional material (comprising of lecture notes and tutorial practice worksheets) designed by teachers from a Singapore pre-university is presented in this paper. As textbooks have not been available for mathematics at the pre-university levels, the instructional material was a product of the teachers' collaborative…

The longitudinal changes of the average grades in four study semesters before and during the COVID-19 pandemic and distance learning are presented in the current study. 11th grade students' (n=586; age M=17.38, SD=0.53) average grades were assessed, as well as their verbal and non-verbal reasoning abilities, and self-evaluations of problem-solving…

This study investigated the technologies and tools used to support upper-level elementary students' engineering design and problem-solving activities in a bridge design and building challenge. The study was conducted in an eight-week afterschool program with a total of 36 4th to 6th grade students in small groups of four to six students. Analysis…

This study investigates the inspiring leadership values in building an excellent inclusive higher education, including proactiveness, high-spiritedness, visionary, and humanist mindset. This was a case study where data were collected through in-depth interviews, direct observation, document analysis, and audiovisual material observation. The…

The purpose of this study was to examine prospective teachers ' uses of diagrams and approaches to congruence while solving proof tasks. Eight prospective high school mathematics teachers were given three proof tasks to solve at the beginning and end of a mathematics education course. The course used the history of mathematics as the context for…

The challenge of educational improvement, due mainly to the complexity of educational systems, is well-known. The aim of this study is to provide knowledge regarding the process of change within schools to better understand how it might depend on cultural context and the characteristics of individual schools. Based on interventions in four…

Technology has become invaluable and digital competence has turned into a necessity for students. The research presented here aims to propose mediation models that explain the influence of attitudinal, technology use, and family factors on the level of digital problem-solving skills of compulsory education students (12-14 years old). A…

Computational Thinking (CT), entailing both domain-general and domain-specific skills, is a competency fundamental to computing education and beyond. However, as a cross-domain competency, appropriate assessment design and method remain equivocal. Indeed, the majority of the existing assessments have a predominant focus on measuring programming…