This paper presents a novel figure for teaching multiple geometric proofs of the Pythagorean theorem. Because it consists only of congruent given right triangles, the figure can be constructed using a template of the given right triangle or, if available, a computer program. Within the figure, called a Pythagorean multi-proof square, there are…

This study assessed the effectiveness of an online-merge-offline Jamboard application as an innovation in teaching word problems to Grade 4 learners was evaluated in this study. The research evaluates a learner's level of mathematical word problem skills in terms of understanding, devising a plan, solving a problem, and interpreting, as well as…

This study was conducted to determine the degree of relationship that exists between learners' level of comprehension and solving skills on mathematical word problems of grades four to six learners in Kang-iras Elementary School. It attempted to establish a relationship between the learners' level of comprehension and solving skills. This research…

As problems become increasingly complex, science educators need to better understand how new knowledge is constructed and applied in heterogeneous team collaborations, and how to teach students to productively engage in these processes. We discuss the emergence of insights in collaborative sensemaking and suggest a model that articulates the…

Computers are problem-solving tools at heart. Without an operating system though, they would be rendered useless. Most computer users are unaware of the inherent capabilities of the bare OS and the problems it can solve for them. This comes naturally in an era of commercialized solutions in the form of apps and software packages. However, gaining…

Current educational systems are making shifts from teacher-centered to learner-centered environments. This shift creates space for more involvement from students in their own instructional and assessment processes that sets them up for success in a method that allows them control of their achievement. Teachers have to assess and reflect on their…

The development of students' mathematical problem-solving skills is contingent upon the approaches and methods employed by primary school teachers. This research endeavors to scrutinize the effectiveness of primary school teachers in their roles within the problem-solving process, with particular attention directed toward their inquiry techniques,…

This article provides insights into Grade 11 learner understanding of the roots of quadratic equations, how learners used solution strategies to find equations with given roots, how they determine the unknown values and the other root when one root is given and how they determine the unknown values when two roots of the equation are given. The…

The purpose of this case study is to examine the problems that prospective primary school teachers posed related to the basic mathematical operations with whole numbers and to determine their problem posing abilities. The data was collected from seventy-two prospective primary school teachers through the Semi-Structured Problem Posing…

This paper explores the optimization of teacher education programs to meet the evolving demands of 21st-century classrooms. It examines key strategies to enhance teacher preparation, such as the integration of technology, fostering critical thinking, promoting inclusivity, and preparing educators to address global challenges. The paper also…

The purpose of this study was to understand the practice of society-centered instruction in teacher education classrooms. Hence, a qualitative research approach focusing on phenomenological design was employed. Participants of the study were six teacher educators from the College of Education and Behavioral Sciences, Bahir Dar University. They…

In the 21st century, the demand for proficiency in mathematics has escalated, as it underpins critical thinking, problem-solving, and innovation in various fields. Recognizing the significance of mathematics education, after-school programs have emerged as potent supplementary platforms to enhance students' mathematical skills and achievement.…

The motivation behind this examination is to present the theoretical structure of Modeling Activities, which is believed to be a vital device for mathematics instruction. Modeling activities are defined as activities to figure out complex problems faced in real life situations that require the creation of a mathematical model as a product. In…

Teaching mathematics to students at the elementary level needs logical thinking, the students have to be encouraged to study hard to improve solving skills. The objective of this study is to improve the learner's problem solving skill in mathematics 2. This research aims to find out how the implementation of the visualize, represent and solve…

The focus of this paper is on the problem of appropriate teaching in the open/distance education and the need to practically employ effective evaluative tools for improving the academic achievement of learners involved in these modes of education. This paper introduced KPS method that was formulated on the basis of well stated assumptions as a…