Based on the sociocultural theory of learning and distributed cognition, using learning aids should benefit students' performance, as learning aids can compensate for a lack of knowledge or skills and reduce strain on short-term memory. The present study investigated the use of a diverse set of learning aids in Grade 8 of vocational education in…

Gifted education is of utmost importance in the development and growth of intellectually advanced students; however, it often encounters various obstacles that hinder its effectiveness. This research delves into the perspectives of teachers regarding the overcoming of these barriers to providing effective gifted education. Employing qualitative…

We offer a new angle to explain the comprehension of mathematical infinity. We use Action-Process-Object-Schema (APOS) theory to explore the construction of different aspects of the cognitive Object related to this notion. We focus our attention on different ways of interacting with infinity, and how to act on infinite entities. Our aim is to shed…

The successful completion of remedial mathematics is widely recognized as a crucial factor for college success. However, there is considerable concern and ongoing debate surrounding the low completion rates observed in remedial mathematics courses across various parts of the world. This study applies explainable artificial intelligence (XAI) tools…

This study contributes to the literature on linear algebra instruction by designing and researching a teaching sequence based on APOS Theory to introduce engineering students to vector spaces. The sequence offers students multiple opportunities to understand the concept. Another contribution is the evidence that introducing prerequisite…

Teaching performance assessments (TPAs) can be used to assess the readiness of potential teachers because they require candidates to provide evidence of their planning and teaching skills through classroom videos accompanied by commentaries Ensuring that teaching candidates are well prepared to enter the classroom is a critical mission for teacher…

The objective of this work is to predict the employment rate of students based on the information in the SSM (student status management) in colleges and universities. Firstly, the relevant content of SSM is introduced. Secondly, the BP (Back Propagation) neural network, the LM (Levenberg Marquardt) algorithm, and the BR (Bayesian Regularization)…

The understanding mathematical concept is an error that often occurs in classroom learning among students when solving mathematical problems. The most difficult part for students is solving problems, because it requires numeracy skills, high concept mastery, as well as the ability to use good language, and so on so that students don't make any…

Many instructional videos in mathematics education target knowledge of procedures and algorithms. To design instructional videos that support students in a non-algorithmic domain, such as mathematical modeling, we developed a framework based on research on heuristic worked examples and instructional videos. Because students' perceptions play an…

Mathematical performance plays a vital role in students' academic development. Studies have shown that some basic cognitive processes, including inductive reasoning, are critical for the development of mathematical performance. However, little empirical evidence has been accumulated regarding the association between inductive reasoning and…

This paper reports the results of a study conducted in an elementary education mathematics methods course aimed at increasing elementary preservice teachers' (EPTs) level of professional noticing. Weekly reflections conducted by EPTs from tutoring sessions were video recorded and scored using the Framework for Learning to Notice Student…

More research related to effective ways to support and retain teachers in the teaching profession is necessary as the need for science and mathematics teachers continues to grow. Understanding how teachers perceive challenges and experience support early in their career can contribute to building environments which foster teacher retention. This…

The paper presents findings from a study that examined, through the lens of the Image Having layer of the Pirie-Kieren model, the qualitative characteristics of the images that different children formed when engaging with eight, novel partitive quotient tasks. The Image Having layer is the first point of abstraction within the Pirie-Kieren model.…

In this article, the authors offer strategies on how to make use of English language learners' (ELLs') linguistic repertoire and reframe their diverse skills as valuable assets to create more equitable and inclusive learning environments. The authors provide an example of a task that reframes language as an asset. The authors also discuss the…

In the realm of mathematics education, geometry problems assume a pivotal role by fostering abstract thinking, establishing a connection between theory and practice, and offering a tangible portrayal of reality. This study focuses on comprehending problem-solving methodologies by observing the eye movements of 45 primary and multi-year grammar…