The Common Core State Standards for Mathematical Practice asks students to look for and make use of structure. Hence, mathematics teacher educators need to prepare teachers to support students' structural reasoning. In this article, we present tasks and rubrics designed and validated to characterize teachers' structural reasoning for the purposes…

The authors describe a lesson--"You Decide"--which challenges students but also provides opportunities for success for those who may struggle. They show how this lesson has been helpful for teachers in revealing some misconceptions that often exist in primary students' thinking. In this article, they share data on the apparent relative…

This article is devoted to the development of an adaptive personalized online course in mathematics for students, which was implemented on the Stepik platform. The authors discuss a non-linear approach to online learning that adapts to the needs of the student as they progress through the course content, which leads to an individual learner's…

This study examines the relationship between instructional clarity in physics lessons and students' motivation and self-confidence to learn physics. We conducted a secondary analysis of data from the Trends in International Mathematics and Science Study (TIMSS) 2019. Using data from six countries, whose students' science achievement scores were…

This study aimed to understand the role of load reduction instruction (LRI), a framework of instructional strategies designed to reduce cognitive load, and its association with motivation, engagement, and learning outcomes in mathematics. We examined data from 221 students from 39 classrooms and tested a hypothesised longitudinal multilevel model.…

Emergent graphical shape thinking (EGST) entails conceiving a graph as being dynamically generated via the trace of a moving point constrained by two changing quantities. As such, Paoletti et al. (2023) argue that meanings for quantities within a situation and meanings for graphical representations must be connected, or bridged, to engage in EGST.…

We examined the suggestions mathematics coaches provided to teachers as part of one-on-one coaching cycles. The purpose was to understand the object (content) of the suggestions, the lesson phase in which the suggestion would occur, and the clarity of the suggestion (how actionable the suggestion would be if the teacher followed the suggestion).…

The study discussed here aims to describe students' understandings of the definition of a mathematical function, which was achieved through a pilot case study of clinical interviews with four participants -- two ninth graders and two twelfth graders. The participants were recruited from the same urban public high school in the northeast of the…

Teacher collaboration is an increasingly important aspect of the professionalism of teachers: it is a way to reflect on and improve teaching practices. Teacher collaboration has been associated with teachers' professional growth and an increase in self-efficacy. However, policy makers and educational leaders must understand which structures of…

School leaders and educators across the country are striving to improve instruction for ethnically, culturally, and socio-economically diverse students for long term learning and growth. For years, researchers and scholars praised the tenets of culturally responsive instruction as the solution to meeting the needs of this growing diversity in…

In Saudi Arabia, mathematics is an essential subject for all freshmen except students majoring in medical sciences. The struggle of students in mathematics is one of the most common issues in the last ten years (Khoshaim, 2015). According to Higbee and Thomas (1999), mathematics self-efficacy, along with other effective characteristics such as…

Knowledge assessments in undergraduate mathematics education commonly evaluate response correctness to determine learner proficiency. However, simultaneous evaluation of learner metacognition more accurately assesses the multiple dimensions of knowledge and has been shown to increase assessment validity and reliability. Research into…

This study investigated in-service teachers' conceptualization of the pure imaginary number, within the Cartesian form, "a" + "ib" where "a" and "b" are real numbers and "i" is the imaginary unit. As part of a larger design-based research study, in which a professional development (PD) program was…

The problem addressed by this study is that students are not implementing literacy strategies they learned in English language Art classes in their mathematics classes. The study's purpose is to explore how seventh-grade students utilize literacy strategies modeled by teacher/s in the mathematics classroom and implementation to deconstruct and…

The use of instructional technology resources in the teaching and learning process may influence student academic achievement. The problem addressed in this study is a lack of understanding of the effectiveness of instructional technology resources on elementary student academic achievement. The purpose of this quantitative quasi-experimental…