Learning mathematics involves abstract thinking and the use of symbols. To be successful in a mathematics classroom, students must master what symbols mean and how they work. Much prior work has focused on the nature of the external representations used in mathematics instruction, including manipulatives and symbolic representations. In this work,…

The aim of the study was to examine how students generate problems about the concept of series, and how they evaluate and solve these problems. The difficulties experienced by the students while posing problems and their perceptions of the posing-evaluating-solving approach were also explored. In the first stage, 46 second-year university students…

The purpose of this study was to analyze the activities in the Problem-Based Learning (PBL) methodology among high school students when solving problems related to the field of plane figures, both in extra-mathematical and intra-mathematical environments. The research was qualitative and constituted a case study. The technique used to select the…

In this "Perspective on Practice," we describe an application of recommendations made in "Formative Assessment in Secondary ­Mathematics: Moving Theory to Recommendations for Evidence-Based Practice" (Kenney et al., 2022), which was recently published in this journal. The authors made recommendations for mathematics teacher…

Drawing on qualitative data collected in a sample of colleges as part of a larger study on the implementation and impact of Assembly Bill 705 in California, this paper explores the rollout of corequisite reforms, focusing on the use of embedded tutors in introductory math and English courses as a strategy to meet to the needs of students. This…

Purpose: The purpose of this study was to evaluate the impact of using Imagine Math Facts on student mathematics proficiency. Methods: This retrospective study compared the performance of Grade 1-5 students who used or did not use the Imagine Math Facts program on a standardized assessment of mathematics proficiency. Statistical matching was…

Intelligent Tutoring Systems (ITS) have been widely used to enhance math learning, wherein teacher's involvement is prominent to achieve their full potential. Usually, ITSs depend on direct interaction between the students and a computer. Recently, researchers started exploring handwritten input (e.g., from paper sheets) aiming to provide…

This case study was undertaken to characterise the interventions made by a kindergarten teacher during a multiplicative structure problem-solving lesson. The study findings show that when she realised the children were having difficulty, she provided assistance to enable them to find the right answer. When the children gave an incorrect response,…

Teaching is a process for which its plan should contain reflection onto previous experience. With that in mind, teaching situations should be continuously researched and improved in accordance with the research results. Led by this thought and the fact that students are uncritically using visualization to solve mathematical problems, we defined…

This qualitative document analysis study reports on opportunities to learn provided by textbooks for mathematics content courses for pre-service elementary teachers. Specifically, the study examined opportunities to engage in problem posing and quantitative reasoning, in the context of fractions, provided by six textbooks commonly used in the…

Educational robotics (ER) is a constructivist approach to education that promotes experiential learning through actual activities for teaching and learning science, technology, engineering, and mathematics (STEM) subjects. Empirical findings have indicated that primary school students have limited interest in learning mathematics due to the…

Previous literature highlights the potential of ICT use to enhance mathematical learning. There are also several theoretical arguments supporting that gifted education benefits from ICT use. However, empirical studies have paid little attention to the relationship between ICT use and gifted students' mathematics performance. It is also unclear…

Cognitive and affective interrelationships are increasingly gaining importance in educational literature, assigning emotions a prominent role in the teaching and learning process. This study aims to promote awareness among prospective teachers of their emotional vulnerability and the influence of affective and emotional aspects in the teaching of…

The learning context, consisting of the school children's families, teachers, and peers, has effect on their mathematics learning. The concern of students' socioeconomic status (SES) affecting negatively their learning outcomes is increasing worldwide. This study investigates whether Finnish elementary school students' SES affects their…

Purpose: This study aims to develop a self-reflection scale useful for teachers to improve their skills and to clarify the Japanese teachers' characteristics during mathematics lesson observation (MLO). In MLO, it is important to understand the lesson plan in advance to clarify observation points, and we aim to develop a scale including these…