In intervention studies, high rates of "implementation fidelity" are important markers of a study's success; however, the definition of implementation fidelity is both complex and dynamic. In this synthesis, we examined the dimensions of implementation fidelity measured and reported in 99 studies in which researchers utilized a…

Preservice teachers commonly struggle with topics related to fractions, ratio, and proportion. The use of double number lines can facilitate the teaching in these areas and provide autonomy and flexibility in mathematical thinking. Moreover, double number lines support many topics in the curriculum, including unit rate, convenience scaling, and…

Cover, Copy, Compare (CCC) has been shown to be an effective intervention at improving single-digit multiplication fluency within the academic intervention literature. The application of the three-term contingency trial embedded within CCC provides the intervention with several key components of evidence-based interventions. Given that teachers…

Although everybody learns at their own pace, the traditional, standardized education system remains prevalent. Unfortunately, this traditional system does not meet all learner needs and results in low academic achievement as demonstrated by state and national standardized tests (Netcoh, 2017; Pennsylvania Department of Education, 2019c; Schwahn…

This study examines the current Turkish primary school 4th-grade Mathematics textbook through the core values settled in the curriculums to mediate relevant (sub)values by the Turkish Board of Education (BoE). The core and sub-values were investigated through the defined aspects of inclusion, intensity, reflection, and mediation status. This…

This research aims to determine the role of developing and implementing discovery learning models to develop students' critical thinking skills in mathematical story problems. The search was carried out in the even semester of 2022/2023 with research subjects totaling 30 fourth semester elementary school education students. The research was…

Repeating patterning proficiency predicts students' later mathematical proficiency. A comparative multi-case design enabled the present study to compare patterning success and strategy use for repeating patterns of 75 Norwegian 6-year-old grade 1 students. We provided the students with duplicate, extend, transfer, and unit isolation activities in…

Background/purpose: This study aims to design and validate an interactive e-module for primary mathematics instruction grounded in differentiated instruction and the theory of didactical situations (TDS). Amid growing calls for inclusive and adaptive pedagogy under Indonesia's Merdeka Curriculum, the integration of digital technologies within…

Parents are a key role player in the success of students in school and mathematics through assistance with homework. However parental involvement with mathematics homework and their contribution toward progress within the subject is an ongoing topic of debate for many different reasons. This article focuses on a Family Mathematics Programme (FMP)…

Digital multi-representation applets offer promising opportunities for promoting students' conceptual understanding by dynamically converting graphical and symbolic representations and for promoting discoveries and justifications of mathematical properties. However, learning effects of open-ended multi-representation applets seem to depend on…

Background: In response to persistent challenges in early grade mathematics achievement in South Africa, two intervention projects -- Base-Ten Thinking (BTT) and the Mental Starters Assessment Project (MSAP) -- were implemented to enhance number sense through mental mathematics in Grades 2 and 3. These projects integrate Freudenthal's theory of…

In this paper, we present a way of describing variation in young children's learning of elementary arithmetic within the number range 1-10. Our aim is to reveal what is to be learnt and how it might be learnt by means of discerning particular aspects of numbers. The Variation theory of learning informs the analysis of 2184 observations of 4- to…

In this participatory research, two pre-service teachers (PSTs) and a mathematics teacher educator (MTE) collaboratively analyzed multiple voices that influence syllabi from elementary mathematics teaching methods courses. Findings suggest syllabi fall along a continuum from harmonious to dissonant orchestration of the voices of past and present…

Semi-structured interviews are used to gain insights into participants' lived experiences and perspectives on issues, but they are open to subjectivity. To address this issue our study explored the combination of timeline graphic elicitation tools with semistructured interviews as an approach to gain insights into teachers' experiences of…

Young children often explore partitioning as the idea of fair sharing in contexts where equal parts are created and distributed based on spatial constructs of the objects, rather than enumerating parts or collections. However, the presence of spatial reasoning in children's early fraction experiences is implicit within much of the literature and…