Solving mathematical problems is cognitively complex, involving strategy formulation, solution development, and the application of learned concepts. However, gaps in students' knowledge or weakly grasped concepts can lead to errors. Teachers play a crucial role in predicting and addressing these difficulties, which directly influence learning…

Prior studies identified effective, but mainly non-digital, homework aids. This research involved 18 middle school students in a lo-fi prototyping study to integrate traditional homework support tools with intelligent tutoring systems (ITS), leveraging rich log data for personalized learning. Feature investigations in standardized diaries, goal…

This paper investigates two specific probabilistic biases which middle graders usually exhibit when reasoning about probability and randomness on assessment items. We discuss how students' reasoning about key probability concepts undergirds statistics literacy related to randomness, independence, and the likelihood of future events based on past…

One of the most significant objectives of the learning and teaching processes is to achieve meaningful learning for the individual; in line with this objective, educators are searching for various methods to accomplish meaningful learning and make it enduring. Following the present age, the sought-after and essential qualified human profile should…

In their daily work teachers are responsible for several complex tasks; might AI be harnessed to support teachers in the challenging work of planning lessons? In this paper we investigate the use of an AI tool, namely ChatGPT, to generate a lesson plan that may be of use to teachers in their planning. A carefully worded prompt, informed by…

Flipped classroom learning methods have been gaining a lot of popularity in recent years. Educators have recorded many mixed results about the effectiveness of this method to achieve superior concept retention in students. Although there has been lot of research published about flipped learning, very little is known how this method affects the…

The purpose of this study is to examine how teachers' PCK is expressed in science teaching practice, both from a teacher's and a student's perspective. It is a qualitative study of three teachers' physics classroom lectures in grades 7 and 8. International research has highlighted the impact of teachers on students' achievement in general and in…

We describe how we supported middle-school students developing meanings for quadratic growth by bringing together three theoretical framings and designing a task sequence grounded in that framework. Specifically, this framework was assembled from the research on students' quantitative and covariational reasoning, Realistic Mathematics Education,…

Emergent graphical shape thinking (Moore & Thompson, 2015) is a way of reasoning that is critical across numerous STEM fields. However, evidence indicates that the underlying component ideas for emergent thinking are underdeveloped in school mathematics education (e.g., Thompson & Carlson, 2017), and few studies directly report on…

"Papel y lápiz" (Paper and pencil) is the result of a qualitative research project carried out using the Participatory Action Research (PAR) as a model. "Papel y lapiz" seeks to teach young people and children, who are identified as being at high social risk, in 35 different public educational institutions (PEIs) from Cartagena…

In this paper, we explore how students' algebraic noticing's and explanations changed across a two-year period with the introduction of designed instructional material. The data in this report is drawn from n=53 Year 7-8 students' responses to a free-response assessment task across two different years. Analysis focused on how students noticed and…

Developing models and using mathematics are two key practices in internationally recognized science education standards, such as the Next Generation Science Standards (NGSS). However, students often struggle with these two intersecting practices, particularly when developing mathematical models about scientific phenomena. Formative…

Automatic assessment of the quality of classroom discourse can have a transformative effect on research and practice on improving teaching effectiveness. We improve on a previous automated method to measure teacher authentic questions -- open-ended questions without pre-scripted responses that predict student achievement growth -- using classroom…

This study used comparative interrupted times series analyses to assess the impact of a continuous improvement-focused family engagement intervention on ninth grade attendance and course passing rates. The intervention, conducted in an urban district, sought to improve middle and high school family engagement practices during the transition to…

The aim of this research study is to determine how students define their anxiety about learning mathematics, to determine the symptoms of anxiety and to define how anxiety occurs. The phenomenology research design was used in the study. A semi-structured interview form was used as a data collection tool in the research. The data were analyzed…