This article aims to interrogate the Cartesian rationality determining current early childhood mathematics by highlighting the irrational aspect of mathematics learning, which is usually underemphasized and even devalued by the dominant discourse. Using Deleuze and Guattari's concept of refrain as the method, the article explores the unfolding…

For teachers to integrate ethnomathematics approaches, it is essential to understand their views related to the implementation challenges of such approaches. In schools, teachers held previous views and experiences that influenced their integration of ethnomathematics approaches. This study investigates school-related factors that impede the…

We examine the challenges of teaching probability through the use of modelling. We argue how an integrated modelling approach might facilitate a coordinated understanding of distribution by marrying theoretical and data-oriented perspectives and present probability as more connected to the social lives of modern-day students. Research is, however,…

This study analyses an online scenario-based instrument in which secondary mathematics teachers from across the United States were presented with episodes of mathematics instruction and then asked to make a decision at a critical juncture. The theory of practical rationality suggests that the decisions of mathematics teachers can be understood as…

Dual language learners are a steadily growing student population in several countries, including the United States -- and especially in early childhood. Consequently, any efforts to develop strong early childhood programming must include practices which support multiple areas of DLLs' development. From a domain-specific lens, I synthesize the…

Number lines and area models are both used pervasively in teaching fractions. Prior studies found that second and third graders demonstrated better magnitude knowledge of proper fractions after a 15-minute training using the number line as compared to using the area model. The current study aimed to extend these findings to improper fractions. We…

The purpose of this study was to investigate the effect of digital concept cartoons and maps in eliminating misconceptions of secondary school students. The research was conducted with 67 students who were studying at three different branches of 7th grade of secondary school. The research was conducted according to semi-experimental design with…

Identifying meaningful cognitive and noncognitive predictors of mathematical competence is critical for developing targeted interventions for students struggling with mathematics. Here, 317 students' short-term verbal memory, verbal and visuospatial working memory, complexspatial abilities, intelligence, and mathematics attitudes and anxiety were…

The present study examines the effectiveness of incorporating worked examples with prompts for self-explanation into a middle school math textbook. Algebra 1 students (N = 75) completed an equation-solving unit with textbooks either containing the original practice problems or in which a portion of those problems were converted into a combination…

During professional development, the authors learned about strings--a powerful instructional routine used in elementary classrooms to elicit students' mental mathematics strategies and use those strategies to build conceptual understanding. Strings provided the authors with a way to make relatively small changes to guided notes in algebra 1,…

This study discusses the development and effectiveness of game instruction on mathematical communication skills. This feature, developed using Microsoft PowerPoint, provides learning instructions with a chain game called algebra dominoes. The principles of independent learning and mastery learning are strategies in learning to ensure that students…

There has been a large amount of research about the impact of dynamic geometry software (DGS) on the learning of mathematics mainly related to different representations of mathematical concepts and functional dependences. This paper goes beyond these investigations by suggesting meaningful connection and integration of DGS with physical resources…

The purpose of this research is to examine fourth grade students' ability to solve mathematical problems which have the same solutions but are given in three different formats as "symbolic, numerical and story (word) problem" and which require four operations. Within this frame, the students' solutions in different formats, their…

The comprehension of the place value concept which is based on the grouping of numbers in accordance with distinct systems is not so easy. One of the sources that may contribute to the comprehension of the place value and making connections with daily life is children's books. The effects of several tools on the comprehension of the place value…

This study aimed to evaluate the effectiveness of the Prime Factors Chart (PFC) as an alternative teaching material, which was developed for teaching the concepts within the "factors and multiples" unit in the middle school mathematics curriculum. Twelve middle school mathematics teachers used the PFC to teach concepts, such as prime…