The creation and use of models in science is of great importance for knowledge production and communication. For example, toy models are often used as idealized explanatory models in physics education. Models can be a powerful tool for exploring phenomena in ways that facilitate learning. However, careful consideration of instruction and…

In this paper we report on a Learning Study (LS) focused on the teaching and learning of the economic concept of price. Cycles of action research informed by the variation theory of learning were undertaken by a group of secondary school teachers facilitated by the authors over a period of nine weeks. As researchers and facilitators, we were…

The Learner's Perspective Study (LPS) offers an extremely rich source of data for analyses of classroom situations. In this paper we focus on events in mathematics classrooms through the lens of the Theory of Didactical Situations in Mathematics, namely, on the situation of institutionalization. During the phase of institutionalization, the…

The aim of this study is to explore the possibility of introducing the general notions of function and inverse function through a mathematical activity on linear functions, focusing on the quantitative meaning associated to the connection between a relation and its inverse. We present a genetic decomposition, that is, a viable cognitive path for…

This study is a phenomenological analysis of the experiences of members of an Individualized Education Plan (IEP) team when an appreciative approach is taken during the IEP process in a middle school in rural New England. The specific phenomenon studied is individuals' experience when student strengths are discussed explicitly as an IEP is…

Units Coordination and Covariational Reasoning are powerful frameworks for modeling students' mathematics in arithmetic reasoning and construction of relationships between changing quantities, respectively. This case study of an advanced stage 2, 8th-grade algebra student, Daniel, investigated connections between his units coordination and…

As the 21st century unfolds, the world has become increasingly fast-paced, interconnected and unpredictable compared to previous generations (McChrystal, et al., 2015). As a result, education researchers and practitioners must be prepared for the challenge of helping students better apply their knowledge to respond to the complex and novel…

Career and Technical Education (CTE) is vital in students' secondary education, vocational skills, and college, career, and military readiness. To determine how CTE affects students' success, Texas CTE teachers were asked about their perceptions of CTE elements to determine how secondary education students are experiencing fundamental knowledge…

This paper introduces a model built upon the Method of Varying Inquiry, offering a didactical approach to problem posing and solving activities that stimulates inquiry-based learning in mathematics classrooms. The model combines the inquiry-based framework with the variation theory and with specific didactical and theoretical elements (the…

The metaphors used by teachers to explain the nature of student learning and student difficulty can reveal a great deal about how teachers conceive the teaching and learning process. This is an important area of research as it can shed light on how they see their role in the learning process and how they should intervene to assist students in…

Little research exists about embedded remediation (ER) in college journalism and mass communication (JMC) programs. ER could support students who are underprepared for college-level writing. Because ER would affect faculty's professional practice, this study explored its feasibility by investigating JMC faculty perceptions of ER and its…

ICAP is a framework that classifies learning processes based on students' explicit behaviors. The framework is developed for testing the hypothesis that interactive exercises are better than constructive exercises, and active exercises are better than the passive exercises for higher cognitive engagement and better learning outcomes. The ICAP…

This paper aims to characterise an indicator of the development of the number sequence scheme among students at the level of Compulsory Secondary Education (14-16 years old students). To do so, we use a scheme development proposed by the APOS theory to characterise students' use of relations between mathematical elements when solving a…

This modified e-Delphi study sought to gain consensus from a group of K-12 educational professionals on the intersection between essential components of connectivism, the next-generation digital learning environment, and the substitution, augmentation, modification, and redefinition model. Twelve participants, each having a minimum of five years…

This book provides another perspective to the way educators think about and use educational technologies in secondary and tertiary classrooms. Technology in learning settings has often been used in cautious ways, typically replicating existing, non-technological educational processes. This book proposes that educators be more ambitious with the…