Teachers are often perplexed realizing students ending up with different understandings of the same lesson after attending the same class. This study investigates the use of Variation Theory as a pedagogical design tool in improving students' problem-solving skills in trigonometry. This action research utilizing the 'Learning Study' approach was…

Purpose: The purpose of this phenomenological study was to explore freshmen community college students' lived experiences as 10th-grade students in the 2020-2021 school year during online math learning. Positive experiences in math learning increase math success. Negative experiences in math learning decrease math success, leading to avoidance of…

Making connections within and between different aspects of mathematics is recognised as fundamental to learning mathematics with understanding. However, exactly what these connections are and how they serve the goal of learning mathematics is rarely made explicit in curriculum documents with the result that mathematics tends to be presented as a…

Purpose: This study aimed to know the difficulties and coping strategies of students in learning mathematics, specifically, as a whole and according to their proficiency level. Method: It was conducted to 24 Grade 10 students of Gines National High School S.Y. 2015-2016. Participants were selected using convenience sampling from proficient,…

Recognising the relevance of learning Geometry, and in particular 3D Geometry, this study aims to discuss the contributions that digital technology and paper and pencil approaches can bring to students' learning. We seek, therefore, to identify the differences between the two approaches, and specifically: What factors are relevant in one and the…

Students' beliefs and attitudes have a direct impact on their behavior and engagement in the learning of mathematics. This study examined students' beliefs of dynamic mathematics lessons through the lens of the contemporary theory of metaphor. Participants of the study were grade 10 students in a Macao private secondary school. 51 students…

Teachers have faced various challenges during the coronavirus pandemic, including lack of skills and knowledge to teach remotely, unstable or no internet access for students in rural areas, and increasing needs to stimulate student motivation. In this article, we introduce the design, development, and implementation of a stand-alone package of…

Powerful learning environments (PLEs) are based on a social constructivist theory of learning, providing a stimulating, resource-rich and inquiry-supportive environment for student self-regulated learning. Fidelity of implementation (FOI) for such PLEs is dependent on several factors, the most critical factor being the teacher's belief system,…

This study investigated the effect a computer intervention program has on student proficiency in the Algebra 1 End of Course (EOC) examination. This study utilized the intervention math program IXL Math, a computerized program that targets individual students' skill practice and supports students' need to accelerate mastery of Algebra 1 skills in…

This paper is concerned with the development of e-textbooks. We claim that analysis (and design) of e-textbooks requires the development of a specific frame. Digital affordances provide particular opportunities (e.g. in terms of interactions between users) that require specific considerations for their analysis, as teachers and students use them…

The PISA assessment indicated that the United States performs at the bottom tier among OECD membership nations in secondary school math education. The dearth of math proficiency presented a significant problem for the United States to maintain its future leadership in global technology. The purpose of this exploratory multiple case study was to…

This paper explores students' resistance when they were expected by their teacher to start learning mathematics through investigations, a pedagogy that emphasizes an active and agentic approach to learning in contrast to the traditional transmission-based teaching to which they were accustomed. This resistance is investigated from the perspectives…

The main purpose of this qualitative study was to investigate the challenges faced in teaching, learning, and technology in online geometry classes. The perspectives of online geometry students and teachers provided insights into the effectiveness of online geometry learning. A qualitative descriptive design was used to gain insights into the…

Student focusing and noticing, which drive reasoning, are important but under researched aspects of student learning. Quadratic functions representations are perceptually and conceptually complex and thus, offer much for students to focus on and notice. Our study compared a teacher's goals for student focusing and noticing during quadratic…

Boaler (2016) asserted that problem posing is the "essence of real mathematics", yet many students do not have opportunities to pose and then solve their own mathematical questions. Rather, students spend their time solving tasks someone else posed--often their teacher or textbook. To promote problem posing, the author designed,…