The purpose of the current study is to examine the ways in which preservice middle school mathematics teachers (PMSMT) apply and represent algebraic reasoning in their solution processes for the problems in the concept of sets. This model provides detailed information about the reasoning made through the process of the solution of set problems.…

The choice of instructional strategies, methods and techniques used by teachers is important in terms of establishing an effective learning environment. The purpose of this study is to examine the most common methods teachers use in their lessons and the factors that influence their choice of methods by using game theory. Game theory has different…

Solving word problems is challenging in elementary schools, both for the teacher in teaching students to solve word problems and for the student in learning to solve them. This paper examines how the ideas of learning trajectory and variation pedagogy could be integrated as an instructional principle for teaching this content in the context of…

Study and research path (SRP) is an inquiry-based teaching format grounded in the Anthropological Theory of the Didactic. One of the specific characteristics of SRP is its task-design basis, which includes explicitly questioning the knowledge at stake in study processes. In this work, we propose general guidelines for the design of SRPs for…

Project-/Problem-Based Learning (PBL) creates dynamic learning environments, incorporates various stimuli, allows learners to gain valuable experiences that extend to real-world applicability, and should be considered as a primary delivery method in STEM classes. The application and benefits of PBL in STEM classes are limitless. Students learn…

Because of the lack of tools available to assess problem-solving skills, teachers often revert to more traditional instructional approaches (e.g. lecture-based, memorization) that fail to prepare learners for the complexity of dynamic work environments. To overcome this challenge, technology solutions are needed that accurately and efficiently…

The study was designed to assess the effectiveness of an alternative teaching approach strategy called the Hybrid Strategy. It was intended specifically in minimising the common errors made by students, which were Comprehension and Transformation errors, and aimed at helping students to perceive word problems as a story line to be completed using…

Teachers readily welcome instructional materials that situate mathematics in the real world because they provide the relevance of mathematics to students who genuinely seek the answer to the question, "When are we ever going to use math in real life?" Although using the real world as a motivational hook is often effective for engagement,…

Mathematics is a subject that challenges many Brunei secondary school students. The Bar Method of instruction uses visual or pictorial representations to make mathematics easier to understand. The survey participants consisted of 127 randomly selected teachers (24 males and 103 females). Male teachers had significantly higher negative attitudes…

Diagnostic labels for children with primary, or otherwise unexplained, language disorders range across settings and within the scientific literature. Among other problems, this lack of agreement creates difficulty with the successful employment of evidence-based practice. This article reviews the evolving terminology and addresses issues of…

The purpose of this study was to explore the efficacy and acceptability of problem-solving consultation for homeschooling families with children who exhibited externalizing behavior problems. Three families participated, with multiple siblings participating from each family. Six children were male and 1 child was female. Children's ages ranged…

The mathematics education community has long emphasized applying wordproblem tasks in mathematics classrooms to foster understanding of mathematical concepts. As such, teachers of mathematics are eager to expose students to wordproblem mathematical tasks. However, students find such mathematical tasks particularly challenging, leading teachers to…

Graduate employability is a key issue for higher education as new graduates face a highly competitive and rapidly changing employment sector. To maximise their likelihood of employment, graduates need to be able to demonstrate the skills and attributes most valued by employers. Employers, however, have long criticised the ability of graduates to…

Bernstein polynomial is one of the most valuable and attractive method used to develop numerical solution for several complex models because of its robustness to demonstrate approximation for anonymous equations. In this paper, Bernstein polynomial is proposed to present effective solution for the 2nd kind linear Volterra integral equations with…

In this paper, we first frame Sprague's vision in the historical context from which it emerged. From there, we explore some contemporary concerns instructional communication researchers must grapple with, and then propose some practical next steps for envisioning instructional communication research as a platform for meaningful contributions…