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…

This study identifies characteristics of polygon class learning opportunities for 8-9-year-old children during the whole-class instruction. We consider the interplay between the geometrical tasks demanding different ways of reasoning, features of children's geometrical thinking, and the teacher's moves to identify characteristics of learning…

Decades of research has documented the consequences of allocating school students into a hierarchy of classes with narrow ranges of mathematics attainment, a process known as streaming, tracking, setting, or "ability" grouping. The purported benefits of streaming are inconsistent and disputed, but the harms are clear, in particular, (1)…

This quantitative study examines how support facilitation instruction affects high school students without disabilities end-of-course assessment scores and Algebra l-B grades using descriptive statistics, t-test two-sample assuming equal variances, F-test two-sample for variances, and Pearson correlation coefficient (r) analysis. The two-sample…

Previous research has identified an unfilled gap between, on the one hand, mathematical prerequisites needed for a formal treatment of least squares and, on the other hand, only teaching procedural aspects of curve fitting. As a response to this, the present study explores students' suggestions of how they think a computer or calculator does curve…

This article offers insights into a national-scale project aimed at developing and disseminating digital learning materials for mathematics education in Austrian lower secondary schools. The design-phase and context of the project outline the noteworthy aspect of this project, namely the close collaboration of a diverse group of experts, including…

There is a well-established historical background of research on mathematical giftedness that can be traced back to the early 1900s. An overarching purpose of this research was to review and explore the existing research and its evolution since its emergence in educational and psychological studies. Thus, we examined the past, present, and future…

This study was conducted to investigate the effects of learning trajectories-based coding (LTs) and LTs-based program on preschoolers' length, area, volume, and angle measurement skills. A quasi-experimental research design was utilized with a quantitative approach. The study's participants were 47 children between the ages of 55-71 months who…