Students are indeed weak when it comes to understanding fractions and decimals. In line with the national curriculum, whole numbers and fractions are taught first before students start to learn decimals. By the time the students approach decimals, they should have acquired sufficient knowledge of whole numbers but limited knowledge of fractions.…

In this article, we describe the theoretical and pragmatic considerations behind our development of a set of nine protocols and training materials for engaging prospective secondary mathematics teachers in live, interactive clinical simulations. Our designs are grounded in theoretical principles from situated cognition and variation theory and…

Black students are marginalized in mathematics education in the USA, including through their language. However, there is little research on how mathematics teachers can best serve Black Language (BL) speakers. Because BL is a significant sensemaking resource for Black students in mathematics, we investigate how BL-speaking mathematics teachers use…

This paper investigates the connection between the spiral teaching method and mathematical rigor in K-12 education. Defining rigor as a balanced integration of conceptual understanding, application, and procedural fluency (contrasting it with rote learning), the paper posits that the spiral approach cultivates this rigor. By revisiting…

This article describes an instructional sequence used with inservice secondary mathematics teachers as part of a graduate course. The instructional sequence focused on designing tasks using Interactive Geometry Software (IGS). This study answers a call for replication studies to investigate the use of an established instructional sequence. Results…

In this "Perspective on Practice," we describe an application of recommendations made in "Formative Assessment in Secondary ­Mathematics: Moving Theory to Recommendations for Evidence-Based Practice" (Kenney et al., 2022), which was recently published in this journal. The authors made recommendations for mathematics teacher…

The problem examined in this qualitative case study was that Math I scores of high school students do not meet the defined state proficiency standards in North Carolina despite current instructional strategies. Because high school students are not proficient in Math I standards, it is causing the student to get further behind in math and the…

This paper reports lessons learnt following the pandemic, particularly the effect of key variables on learning mathematics in a context-specific blended learning environment, such as the availability and accessibility of technological resources and students' self-directed learning. The pandemic (COVID-19) caused unprecedented disruptions in…

Differentiated instruction (DI) is a philosophical and pedagogical approach addressing student diversity in the classroom, supporting student engagement in learning. There is, however, limited research into the application of DI in senior-secondary mathematics. This research reports on two mathematics teachers in two Australian states, using…

The present study aimed to describe teachers' instructional flows when implementing a mathematical problem-posing task using scriptwriting technique. With matchsticks, a growing pattern that increases by a constant unit was created and presented to the teachers as a problem-posing situation. We analyzed the instructional flows in 50 scripts,…

The early years of education are a crucial time to develop a strong foundation of critical mathematical skills. A growing body of research continues to demonstrate that this foundational knowledge can be successfully built through teacher-facilitated, or guided, approaches to play. Despite its benefits, the implementation of guided play is…

Teacher noticing--i.e., attending to and interpreting--students' mathematical thinking is a predominant framework in preparation programs for pre-service mathematics teachers, based on the assumption that they should learn to notice early in their training to acquire the expertise needed in their professional lives. Most research on this topic…

The paper addresses the potential relationships between shared authority in mathematics classrooms and students' mathematical reasoning. Even though tensions and challenges related to shared authority are explicated in the literature, there are few examples of how these issues play out in mathematics teaching. We investigate the case of a…

This research aims to describe the mathematical problems posed by prospective elementary school pre-service teachers in differentiated learning. This research uses a qualitative approach and uses problem-posing tasks and interviews as tools for collecting data. In the problem-posing task, information on learning conditions is provided, which…

The success of a school centers on teachers' ability to create well-aligned educational tools. The Merdeka Belajar curriculum requires adapting assessments, including Higher-Order Thinking Skills (HOTS) questions for real-world problem-solving scenarios. This study explored contexts proposed by teachers in Papua for developing Mathematics HOTS…