This article explains how explorations into the quadratic formula can offer students opportunities to learn about the structure of algebraic expressions. In this article, the author leverages the graphical interpretation of the quadratic formula and describes an activity in which students derive the quadratic formula by quantifying the symmetry of…

This study examines students' visual behaviors when they tackle two types of synthesis problems, sequential and simultaneous problems. Sequential synthesis tasks can be solved by applying pertinent concepts consecutively, whereas simultaneous synthesis tasks require concurrent application of multiple concepts. Twenty-two students from an…

Picture students huddled around a 3D printer in a middle school classroom. They gaze at the object being printed, and exclamations of, "Where is that flag from?" "What does that symbol mean?" and "Oh; I didn't think of that!" can be heard. These examples of observation, curiosity, and critical thinking are the elusive…

The role theory plays in research work cannot be over-emphasized. A theory that is apt gives direction to research work in explaining, organizing, analyzing, and predicting phenomenon and showing their relationships in order to enhance understanding. Despite these roles played by theory, upcoming scholars and students many at times fail to use…

Mathematical connections play an important role in achieving mathematical understanding. Therefore, in this article, we report research whose objective was to identify mathematical connections that pre-university students make when they solve problems that involve the derivative and the integral. In this research, we consider a mathematical…

Programme outcomes (POs) are the attributes that reflect the student skills expected to be acquired upon graduation. The Engineering Accreditation Council (EAC) under Board of Engineers Malaysia requires 12 POs with complex engineering problems (CEP) and knowledge profiles to be incorporated in engineering programmes. Despite considerable research…

The demand in the workplace is rapidly changing brought about by the educational reforms and the emergence of disruptive technology. The changes increase the importance of employability skills and literacy that would ensure career success and degree program relevance. On this premise, a study was carried out using a scoping review to examine the…

Integrated or interdisciplinary teaching is an approach that encourages students to synthesize knowledge from more than one discipline in order to solve problems. It focuses on students' interests, a connection of subjects, use of authentic situations and problem solving techniques. This study aimed to make clear the concept of interdisciplinary…

Mnemonic strategies provide information about which steps should be followed respectively while solving students' mathematical problems. The main purpose of this study is to examine the effectiveness of READER problem solving strategy, which is one of the mnemonic strategies, on problem solving performances of students with intellectual…

If using different instruments obtained a different analogical reasoning component. With use people-piece analogies, verbal analogies, and geometric analogies, have analogical reasoning component consists of encoding, inferring, mapping, and application. Meanwhile, with use analogical problems (algebra, source problem and target problem is equal),…

Problems involving rotating systems analysed from an inertial frame, without invoking fictitious forces, is something that freshman students find difficult to understand in an introductory mechanics course. In this article we try to see what could be the factors that lead to this difficulty and propose a set of arguments that could be used to…

The current study aimed to make students discover the multidimensional structure of Socio-scientific Issues (SSI) using the SEE-STEP model. Nine-step module has been designed to help students' discover the aspects of the SSI in the implementation process of the research. This research was based on qualitative methodology in determining the study…

Transformative learning theory has provided a sound theoretical base for adult education's Western and Eastern academic field. This article aims to introduce the mandala model of transformative learning by transferring Mezirow's theory of perspective transformation onto a mandala map. In the mandala model, the learning agent exercises two…

The calculation of the total surface area of prisms forms part of the Mathematics curriculum in South Africa. This paper explores Grade 8 students' errors when learning about the surface area of prisms. The study was guided by the interpretive paradigm and adopted a qualitative approach in a form of a case study design. Data from diagnostic test's…

Use of three-force member concept for rigid bodies whenever possible, to circumvent the more taxing use of equilibrium equations has been long-established. However, most students fail to reap its benefits due to a number of reasons, including the fact that its importance is hardly emphasized to them; skills and details needed for the concept are…