The Enforcement Decree of the Elementary and Secondary School Act (2015) mandates that from 2016 all middle schools in Korea must administer one semester as a free semester (FS), called an exam-free semester or, alternatively, a free learning semester. Consequently, some Korean parents and students have expressed a feeling of anxiety about having…

Ambiguity is a natural part of communication in a mathematics classroom. In this paper, a particular subset of ambiguity is characterized as clarifiable. Clarifiable ambiguity in classroom mathematics discourse is common, frequently goes unaddressed, and unnecessarily hinders in-the-moment communication because it likely could be made more clear…

This study examined a cohort of middle school pre-service mathematics teachers' understanding of the rate of change as they engaged in a model development sequence. By adopting a design-based research perspective, a model development sequence on the concept of rate of change has been designed and implemented as part of a mathematical modeling…

Students' higher-order thinking skills (HOTS) in Indonesia are still low and have not experienced significant development. To enhance HOTS, modern technology-based learning media are needed to support realistic mathematics learning. Innovative learning media can enhance realistic learning and students' thinking abilities. Therefore, the authors…

This study investigated the effectiveness of an intervention designed to support sixth-grade Spanish-speaking English as Additional Language (EAL) learners and their English proficient classmates in acquiring pre-algebra knowledge and skills and associated academic vocabulary. The sample consisted of 88 EAL learners and their 139 English…

The concept of a learner's identity in mathematics is complex and multifaceted. Based on a review of the relevant research, the authors believe most factors that influence one's mathematical identity fall within these four categories: (1) past mathematics experiences; (2) personal beliefs and efficacy; (3) future self-representation and belonging;…

As the population of emergent bilingual students in the United States continues to grow, it has become increasingly important to ensure that content area instruction is linguistically and culturally inclusive and accessible. Longitudinal survey and state mathematics assessment data were used to examine how the use of students' home language in the…

Informed by multiple theoretical perspectives pertaining to academic procrastination, this investigation examined multilevel models aimed to predict homework procrastination using the data from 1,072 middle schoolers in China. Our model incorporated student gender, homework motivation, homework approach, homework behavior, and time allocated to…

When implementing digital technologies into mathematics teaching and learning situations, new representational and communication infrastructures arise that allow for new speech acts and actions. These new speech acts and actions are also referred to as 'representational expressivity'. Such expressivity arises in the intersection of…

Exploring language provides us with one approach to better understanding the practices and beliefs of a community. With advances in technology--specifically, computational text processing and machine learning tools--we can now examine written language on a large scale. In this study, we investigate the language of mathematics teaching and learning…

We studied how the distal policy mechanisms of curricular aims and objectives articulated in official curriculum documents influenced classroom instruction, and the factors that were associated with the enactment of those curricular aims and objectives. The study was set in the U.S. context, where there is an ambitious effort to transform…

Providing effective mathematics instruction to learners with disabilities is challenging enough in a classroom. Providing the same level of high quality instruction can be more difficult in an online environment. This article describes an effective use of virtual tools for mathematics that can both engage students and provide the supports they…

Mathematics learning using high-order thinking skills is crucial for students. High-order thinking skills can be developed through learning materials with contexts relevant to the student's environment. This research aims to: produce maritime context mathematics teaching materials for higher-order thinking in Junior High Schools that are valid,…

Test-taking experience is a consequence of the interaction between students and assessment properties. We define a new notion, rapid-pacing behavior, to reflect two types of test-taking experience -- disengagement and speededness. To identify rapid-pacing behavior, we extend existing methods to develop response-time thresholds for individual items…

The authors examined the knowledge of middle level mathematics teachers instructing in inclusive classrooms to the hearing impairments students (HISs) or learning disabilities students (LDSs). The focus was on teachers' understanding of students' misconceptions related to the concept of angles. The study aimed to investigate the teachers' role in…