This study delves into the intricate relationship between pre-service teachers' (PSTs') Mathematical Knowledge for Teaching Fractions (MKTF) and its influence on their teaching practices. Grounded in the premise that MKTF domains exhibit interconnectivity, shaping the constructs of teaching practices, the study employed the mathematical task…

Teachers' professional noticing has been described as transitioning from descriptions of general pedagogy to analysis of students' mathematical procedures and conceptual reasoning. Such a shift is described as a transition towards more student-centered noticing. In the present study, we used screen recordings of pre-service teachers' (PSTs) 360…

Developing an understanding of fractions is critical, as it is the first connection of whole-number properties to rational numbers within a single framework. The unique properties of fractions necessitate solution processes that are distinctive and often more complicated than whole-number processes, resulting in many students struggling with…

This study has compared Turkish and Singaporean textbooks with respect to the instructional content of the unit on division in fractions, which is a challenging topic for many students. Two Turkish textbooks were compared against two Singaporean books, "My Pals Are Here" and "Targeting Mathematics." In Turkish and Singaporean…

Little research has examined the intersection of derived relations and observational learning, which may be an avenue by which an instructor can increase the total amount of learning while conserving instructional resources. In this study, we investigated this intersection in the context of teaching third-grade students…

There is a general consensus that both conceptual and procedural knowledge are essential for students' mathematical development. A common argument is that differences in mathematical performance are caused by differences in conceptual and procedural knowledge. Therefore, it is important to investigate to what extent such differences in conceptual…

Existing studies have quantitatively evidenced the relatedness between problem posing and problem solving, as well as the magnitude of this relationship. However, the nature and features of this relationship need further qualitative exploration. This paper focuses on exploring the interactions, i.e., mutual effects and supports, between problem…

Expertise in teacher noticing of children's thinking is central to a vision of responsive teaching in which teachers regularly elicit and build on children's thinking during instruction (Richards & Robertson, 2016). In mathematics classrooms, this core instructional practice of noticing children's mathematical thinking repeatedly occurs during…

The effectiveness of an experimental middle school fraction intervention was evaluated. The intervention was centered on the number line and incorporated key principles from the science of learning. Sixth graders (N = 51) who struggled with fraction concepts were randomly assigned at the student level to the experimental intervention (n = 28) or…

This study focused on the development of the learners on how Video-Based Experiential Approach will help learners to keep the pace of learnings in this pandemic. This study provided various evidence on how innovation can be a great step in developing the learners in learning about fraction. The purpose of this action research is to determine the…

In this quasiexperimental study, the authors investigated the effects of university within school partnership model, within which faculty members acted as teacher-researchers to improve fractional knowledge among middle school (Grades 5-8) students. Students in nine Grade 6 mathematics classes from two public middle schools in Turkey were assigned…

The effectiveness of an experimental middle school fraction intervention was evaluated. The intervention was centered on the number line and incorporated key principles from the science of learning. Sixth graders (N = 51) who struggled with fraction concepts were randomly assigned at the student level to the experimental intervention (n = 28) or…

The interpretive cross-case study focused on the examination of connections between teacher and student topic-specific knowledge of lower secondary mathematics. Two teachers were selected for the study using non-probability purposive sampling technique. Teachers completed the Teacher Content Knowledge Survey before teaching a topic on division of…

This study analyzes the development of percentages knowledge by seventh graders given a sequence of activities starting with a realistic modeling task, in which students were expected to create a model that would facilitate the reinvention of percentages. In the first two activities, students constructed their own pricing model using fractions and…

There are many continuous quantitative dimensions in the physical world. Philosophical, psychological and neural work has focused mostly on space and number. However, there are other important continuous dimensions (e.g., time, mass). Moreover, space can be broken down into more specific dimensions (e.g., length, area, density) and number can be…