This study investigates the interplay between student reasoning and instructional strategies in trigonometry education. A qualitative case study was conducted to examine how Grade 10 students employ various reasoning approaches -- deductive, inductive, abductive, analogical, and algorithmic -- when solving trigonometry problems. Each approach…

As they progress to more abstract and complex levels of mathematics, students with learning disabilities (and other students who are struggling with mathematics) can face challenges related to memory and cognition, as well as potential difficulties with math anxiety. For example, quadratic functions can present several challenges for many…

The aim of the current research is to know the effect of teaching mathematics using the PDEODE teaching strategy supported by the e-learning environment in developing the conceptual understanding and problem-solving skills among the fourth grade of the primary stage. To achieve the research objectives, the experimental approach was in its…

A quality physical education program includes a positive emphasis on student development of physical literacy, national standards and grade level outcomes, promoting physical activity and supporting comprehensive school physical activity programming, and the following four essential components: (1) policy and environment; (2) curriculum; (3)…

Analogies can be powerful teaching tools because they can make new material intelligible to students by comparing it to material that is already familiar. In assisting students to understand chemistry concepts, teachers occasionally use analogies. These analogies are believed to help the students to structure the new knowledge and they are…

This study examined the effects of shared representational guidance (collaborative textural representative tool vs. collaborative graphical representative tool; TR vs. GR) and prior knowledge (low vs. high; LPK vs. HPK) on different levels of individuals' understanding of specific-domain knowledge after collaborative problem solving (CPS). A total…

This article focuses on an approach to the concept of historical time in early childhood education through the lens of cognitive psychology. It consists of three parts: (1) theoretical approaches, inspired by three broad scientific fields -- cognitive psychology, pedagogy and history; (2) the presentation of educational examples, formed by…

This quasi-experimental design study aimed to examine how exposure to supporting productive struggle teaching practice impacts students' conceptual understanding, procedural fluency, and strategic competence when solving high-demanding quadratic functions problem solving tasks. Results suggested that students in the supporting productive struggle…

In this paper, the SOLO taxonomy is used to identify different levels of student understanding of the statistical concepts associated with sampling distribution. This study was part of a research project investigating students' conceptual understanding of concepts of hypothesis testing taught with the support of simulation learning activities. The…

Electricity, especially the flow of current, is a challenging topic for students of all ages. This study conceptualizes students' explanation of electric current as a cluster of knowledge elements. These clusters, in turn, represent students' mental models of electric circuits. Thus, this study aims to identify and characterize students' mental…

We examined widely used popular calculus textbooks to explore opportunities to learn the limit concept. Definitions, worked problems, and exercise problems were coded to examine if these tasks allow students to use informal thinking to coordinate domain and range processes to understand the infinite process of limit. Results revealed many exercise…

Knowledge construction can be facilitated through different types of social interactive environment. A knowledge network environment (KN) develops a knowledge-centered network visualizing the structure of collective knowledge. A social network environment (SN) creates a people-centered network visualizing the social relationships among people.…

Learning progressions have become increasingly prevalent in mathematics education as they offer a fine-grain map of possible learning pathways a child may take within a particular domain. However, there is an opportunity to build upon this research in ways that consider learning from multiple perspectives. Many current forms of learning…

The purpose of this research is to examine the meanings that primary school mathematics teachers attribute to the concept of "game" by using metaphorical expressions. In this study, phenomenology design, one of the qualitative research methods, was used to examine the metaphorical perceptions of primary school mathematics teachers about…

How can students achieve an understanding of multiplication that allows them to go beyond recall to explain their thinking? Author and mathematics education professor Juli Dixon introduces a program that teachers can seamlessly integrate into existing mathematics instruction. Learn six tactics to help you shift from an anxiety-producing,…