Similarity is a crucial concept introduced in the 8th grade, and it is further developed and reinforced through associations during high school. This research aims to investigate how 8th grade students construct the concept of similarity using concrete manipulative support within the framework of APOS theory. The research was conducted as a…

Textbooks are among the most important means of education in terms of instilling leadership skills in students. The characters presented as models in the textbooks play an important part in building up such leadership skills with the help of quotes from such characters, texts written with reference to them, and the activities developed…

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…

The proposed paper utilizes teacher and student data from the 2014 U.S. National Assessment for Education Progress 8th grade Civics test (NAEP-Civics8) to explore the relationship between teacher pedagogical practices and other factors (i.e., teacher credentials, teacher professional characteristics, individual traits, and teachers' education…

We report findings from an investigation of one teacher's instruction as he guided students through the proofs of 21 theorems in a Grade 8 Honors Geometry course. We describe a routine involving four distinct phases, including Setting up the Proof and Concluding the Proof. Results from an end-of-course proof test are also presented to attest to…

The content of organic chemistry is closely related to our everyday life, to nature, and to the human body. Illustrations play a big role in the acquisition of the course material, especially if those help to make the interpretation of the textual content easier. Hybrid illustrations are made up of combinations of realistic images (photographs,…

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…

This paper systematically explores how Large Language Models (LLMs) generate explanations of code examples of the type used in intro-to-programming courses. As we show, the nature of code explanations generated by LLMs varies considerably based on the wording of the prompt, the target code examples being explained, the programming language, the…

Math performance continues to be an important focus for improvement. Many districts adopted educational technology programs to support student learning and teacher instruction. The ASSISTments program provides feedback to students as they solve homework problems and automatically prepares reports for teachers about student performance on daily…

Progressing from additive to multiplicative thinking is a key outcome of school mathematics, making ratios an essential topic of study in junior secondary. In this study, 15 Australian Year 8 students were administered a ratio test followed by semi-structured interviews to explore their conceptions of ratio prior to formal instruction. In this…

It is generally understood that both clear teacher instruction and orderly classroom climates support student achievement in mathematics. However, to what extent does instructional clarity "compensate" for classroom disorder? In this exploratory study, we analyse data from 8,864 Year 8 students sampled by TIMSS 2019 to investigate the…

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…

Theoretical background: Learning in virtual realities (VR) has become increasingly important. In this context, VR appears to be particularly conducive to affective learning objectives, such as perspective-taking in VR actors. Previous research has often focused on investigating cause-effect relationships that focus on the direct effects of…