The purpose of this study was to explore general education teachers' perceptions of their experiences while implementing the Real Engagement in Active Problem Solving (REAPS) model. REAPS is an evidence-based teaching model for challenging and engaging gifted students in a variety of settings. Twenty-three teachers answered 7 semi-structured…

This study utilized a one-group pretest-post-posttest design (Allen, 2017) to examine the effects of the Hands-On Equations system on students' abilities to solve multi-step equation problems following explicit classroom instruction on the skill. Participants consisted of four middle-school male students, all of whom received special education…

In organizations that are seeking a high degree of maturity, it is necessary to achieve a statistical control of software processes and to know their behavior and operational performance. The approach adopted for the research involves reading articles and experience performance reports, practical cases, discussion, the use of games and simulators,…

In this paper, six mathematics curriculum changes in Iran are reviewed, spanning from 1900 to 2021. Change of forces, barriers, and the main features of each reform are represented. Specifically, the first five curriculum changes are described briefly and the sixth and most recent one is elaborated upon, with more detail as contemporary school…

Students enter classrooms equipped with a rich foundation of skills and knowledge from their everyday experiences. High-quality science education builds on students' wealth of experience in making sense of the world. In science classrooms, "sensemaking" is a collaborative practice that includes students sharing initial ideas with peers…

As proof and proving are the key elements of mathematics, several frameworks evaluating this process have been presented. Proof image, being one of them, was introduced by Kidron and Dreyfus (2014) through analyses of two mathematicians' activities. Authors clarified it in the context of components, and emphasized its relation with formal proof.…

The aim of this research was to study and investigate first year university calculus students' misconceptions about how to use the definition of limit to find the first derivative of functions and then remediate these misconceptions by using APOS theory (Action, Process, Object, and Schema). Students (n = 82 female and male) were selected based on…

This qualitative semi-structured interview study investigated how the opportunity to learn with productive struggle emerges in a teacher's beliefs, anticipation, planning, teaching, and response to struggle in learning mathematics. In this study, the experiences of student struggle in the teaching and learning of fractions was investigated through…

Mathematics scores on the 2019 National Assessment of Education Progress increased by only two points for both fourth and eighth grade students since 2007, indicating that students continue to struggle in mathematics (National Center for Educational Statistics, 2007; U.S. Department of Education, 2019). The development of both conceptual and…

This paper describes the adaptation of a flipped Biomedical Electronics course with laboratories to remote learning at the start of the COVID-19 pandemic. In class collaborative work on problem sets was replaced by group work (4-5 students) in Zoom breakout sessions. When the groups assembled at random for each class had sufficiently progressed on…

Mathematics education is constantly changing due to the growing use of computers worldwide, and these global changes greatly affect mathematics education. In a computerized and changing society, it is paramount schools prepare students to acquire both procedural knowledge and conceptual knowledge in mathematics. In the state of Georgia, fourth…

Real-world design settings can be complex, ill-structured, open and typically uncertain and/or ambiguous about their goals and solution paths. This study contributes to understanding how to work with these types of problems in a course project setting. The main objective of the study is to identify, propose and validate a set of practical…

The students' perception of how they are positioned by their teachers offer valuable insights into how teachers might engage students in the act of learning, construct themselves and acts in ways desirable to students, and how they might make the learning process a more enjoyable one for students. Teacher positioning is an important factor in…

Since the beginning of the 21st century, design education has been gaining momentum across disciplines as a means to equip students with skills relevant in the job market as well as to tackle wicked problems. One of the core assumptions behind integrating design education to other disciplines focuses on the need for hands-on and experiential…

Representation is widely viewed as central to mathematical problem solving, while online scaffolding is considered helpful in supporting learners' progress from actual to potential developmental levels of mathematics understanding. Therefore, this study investigated the effectiveness of employing online single vs. multiple representational…