Using data from a problem-posing project, this study analyzed the characteristics of middle school students' responses to problem-posing prompts that did not match our assumptions and expectations to better understand student thinking. The study found that the characteristics of middle school students' unexpected responses were distributed across…

Statistics education researchers have been challenged to consider the theory of inferentialism in understanding concept formation in students. A critique of inferentialism is that no comprehensive method has been formulated to use the theory in practice. In this paper an inferentialism-based framework is presented that appears to be capable of…

We examine the meanings students give to points when they are graphing relationships between quantities in dynamic, experiential contexts. Using data from teaching experiments with middle-grades students, we illustrate two main categories of meanings: iconic and quantitative. We then introduce four distinct subcategories of meanings: (a) iconic…

Early mathematics education presents middle-school students with the challenge of adding and subtracting negative integers. This paper reports on results from the experimental implementation of a proposed educational design for integer arithmetic that utilized the number-line (NL) form as a resource for students to enact simple addition and…

Concerns about the disconnect between what goes on in teacher preparation programs and school classrooms have led to a greater emphasis on opportunities for preservice teachers to engage in the practice of teaching during their teacher education programs. Pedagogies of enactment have been shown to provide opportunities for preservice teachers to…

This study aims to examine the 5th- and 6th-grade mathematics textbooks approved by the Turkish Ministry of National Education for the 2021-2022 academic year in terms of the opportunities to learn provided in the sublearning domain of "Area Measurement." A document analysis was performed as a part of this study. Consistent with the aim…

Engineering design practices in STEM education focus on reflecting the discipline-specific work of engineers in a manner that is suitable for the student level and course learning objectives. Using an engineering design context also facilitates student identification of global problems and feasible solutions to address such problems. In this…

There is a strong relationship between the quality of education, teachers' decisions and instructional actions, and knowledge. All of them have an important role outcome of the lesson and students' learning. The focus of this study was to discover how the process of students' learning or incapability of learning was affected by teaching practices.…

Learning trajectories refer to the progression of students' knowledge acquisition and skill development within a specific domain. By identifying students' proficiency levels across specific knowledge points or attributes, cognitive diagnostic models (CDMs) allow researchers to systematically describe and analyze learning trajectories. This study…

Despite well-designed curriculum materials, teachers often face challenges in their implementation due to diverse classroom needs. This paper investigates whether Large Language Models (LLMs) can support middle-school math teachers by helping create high-quality curriculum scaffolds, which we define as the adaptations and supplements teachers…

Students' proficiency in the language of instruction is essential for their mathematical learning. Accordingly, language-responsive instruction, which includes adapting teaching material to students' language needs, is thought to promote mathematical learning, particularly for students with lower levels of proficiency in the language of…

Over the past ten years, interest in game-based learning has increased. This increase stems from the results of research that demonstrate the potential for increased mathematical learning and engagement when game-based learning was implemented. It has been noted that the most frequent way game-based learning is included in research is with drill…

In this theoretical essay, I build on complexity theory and commognition to theorize the ways in which failure to teach/learn mathematics (FTLM) emerges through the dynamic interactions among teacher, learner, and curriculum demands. I focus on two main concepts of complexity theory: emergence in dynamic systems and attractor states (stable,…

The aim of this study is to reveal the impact of Inquiry-Based Learning (IBL) on students' ability to come up with the rules of divisibility themselves and on their academic achievement in the 8th grade Mathematics course as well as to obtain students' views on the learning and teaching process, through the use of a mixed-methods sequential…

In the mid-1960s, educational lawmakers began passing and implementing plans to raise the achievement of all students across the United States. In these early years of education mandates, the federal government became more involved in public education. Education lawmakers began to focus on struggling learners and how teachers could support those…