Real Engagement in Active Problem Solving (REAPS) is an evidence-based model for building on and extending the characteristics of gifted learners, enabling them to develop their exceptional talents. The purposes of this study were to (a) identify teachers who implemented the method at a high level of fidelity and (b) describe their ways of…

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…

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…

Multiple group modeling is one of the methods to address the measurement noninvariance issue. Traditional studies on multiple group modeling have mainly focused on item responses. In computer-based assessments, joint modeling of response times and action counts with item responses helps estimate the latent speed and action levels in addition to…

These notes discuss several related problems in geometry that can be explored in a dynamic geometry environment. The problems involve an interesting property of hexagons.

Contemporary scholars describe mathematical modeling as a transformation of a real-world problem to a mathematical problem and back again. This paper treats a critical issue in the modeling process: how modelers determine if the transformation from the real world to mathematics was carried out well. I present an empirically derived typology of…

In physics and chemistry, the development of problem-solving skills is necessary to become an expert. A simple cognitive model to analyse such development is proposed and tested. An exploratory research was conducted with expert professors and students in initial and advanced years. A think aloud procedure was used to obtain relevant data while…

Globally, nations are grappling with massive social and economic disruptions and the disparities exposed by the COVID-19 pandemic. The world is in the middle of a wicked problem--one so complex that it is difficult to find a solution. The "Story Model" was developed as a transdisciplinary curriculum model and a collaborative…

Purpose: The purpose of this paper is to know the extent to which a decision-making framework assists in providing holistic, comprehensive descriptions of strategies used by school leaders engaging with distributed leadership practices. The process by which principals and other education leaders interact various school-based actors to arrive at a…

The present study examines the difficulties novice data modelers face when asked to provide a data model addressing a given problem. In order to map these difficulties and their causes, two short data modeling problems were given to 82 students who had completed an introductory course in database modeling. Both problems involve three entity sets…

In linear programming, many students find it difficult to translate a verbal description of a problem into a valid mathematical model. To better understand this, we examine the existing characteristics of college engineering students' errors across linear programming (LP) problems. We examined textbooks to identify the types of problems typically…

Mathematical modeling involves using mathematics to represent, analyze, and make predictions or decisions about real- world situations. Garfunkel and Montgomery (2016) elaborate on six components of the mathematical modeling process, including identifying the problem, making assumptions and identifying variables, doing the math, analyzing and…

Background/purpose: This study investigated the effectiveness of Problem-Based Worksheets (PBWs) in improving conceptual understanding of logic gates. PBWs were designed with key characteristics that integrate authentic problem-solving, active student engagement, and conceptual scaffolding to support critical thinking processes. A total of 32…

Background: Engineering students inconsistently apply equilibrium when solving problems in statics, but few studies have explored why. Visual cognition studies suggest that features of the visual representations we use to teach students influence what domain knowledge they use to solve problems. However, few studies have explored how visual…