Working solutions to problems are not definitive end points. As a result, code that is technically correct can still be treated as needing revising -- a practice in computer programming known as refactoring. We document how late elementary to middle school students and their undergraduate instructors weigh the possibility of refactoring working…

Transform mathematics instruction with the comprehensive mathematical competencies (CMC) framework--a research-based model that integrates seven essential competencies: conceptual and procedural integration, problem solving, logical reasoning, communication, tool use, pattern recognition, and student engagement. Through practical classroom…

This paper reports on the evaluation results of the implementation of the Parallel Curriculum Model (PCM) in a Singapore secondary school for Grades 7-10. PCM was adopted by the school in 2016 to provide a comprehensive framework for designing the school's curriculum around the core, connections, practice, and identity. Two years into the…

It was aimed to reveal whether there is a statistically significant relationship between the gender, age, sportive activity status and duration of the students studying at xxx University in the 2020-2021 academic year on their life skills levels. In this study descriptive survey method was used. A personal information form was used to obtain…

Prior work has found benefits of interpersonal closeness, or rapport, on student learning, but has primarily investigated its impact on learning outcomes, not learning processes. Moreover, such work often analyzes the direct impact of dyadic features like rapport on learning, without considering the role played by individual factors, such as…

This book is about inclusivity and open education in the digital age. It reports the latest data on this topic from the 2021 Cognition and Exploratory Learning in the Digital Age (CELDA) conference. This annual conference focuses on challenges pertaining to the evolution of the learning process, the role of pedagogical approaches and the progress…

Speakers in conversation typically repeat and modify earlier comments. In mathematics conversations, these repetitions, or poetic structures, can facilitate the collaborative discovery of mathematical relationships. A close analysis of 90 turns of an algebraic problem-solving conversation reveals eight types of poetic structures. This report…

This paper aims to explore the educative power of an experienced mathematics teacher educator-researcher (MTE-R) who displayed his insights and strategies in teacher professional development (TPD) programs. To this end, we propose a framework by first conceptualizing educative power based on three constructs--communication, reasoning, and…

This paper is part two of the article entitled, "Dynamic Neuroscientific Systemology: Using Tri-Squared Meta-Analysis and Innovative Instructional Design to Develop a Novel Distance Education Model for the Systemic Creation of Engaging Online Learning Environments" published in the July-September 2015 issue of i-manager's "Journal…

Reform efforts in mathematics education arose, in part, in response to constructivist works on conceptual learning. However, little research has examined how students with learning disabilities (LD) respond to constructivist-oriented instruction in mathematics, particularly in moment-to-moment interactions. To understand the nature of…

During recent years, many schools have started to implement information and communication technologies (ICTs)-based learning devices (such as laptops, tablets, mobile phones, and active boards) in the classroom settings in order to increase learning outcomes. The aim of this study is to find which activities and outcomes are evident in the usages…

This article introduces the concept of personal empowerment as a form of transformative learning. It focuses on commonly ignored but enhancing elements of mathematics learning and argues that crucial personal resources can be essentially promoted by high engagement in mathematical problem solving, inquiry, and collaboration. This personal…

In this article the authors explain that when engaging in a problem-solving conversation with a child, their goal goes beyond helping the child reach a correct answer. They want to learn about the child's mathematical thinking, support that thinking, and extend it as far as possible. This exploration of children's thinking is central to…

The use of science classroom discourse analysis as a way to gain a better understanding of various student cognitive outcomes has a rich history in Science Education in general and Physics Education Research (PER) in particular. When students talk to each other in a collaborative peer instruction environment, such as in the CLASP classes…

Typically, school curriculum has been viewed through the lens of preparation for the workplace or higher education, both worthy objectives. However, this is not the only lens, and perhaps not even the most powerful one to use, if the goal is to optimize the educational system. "Curriculum on the Edge of Survival, 2nd Edition," attempts to define…