"Collective argumentation" occurs when a group works together to arrive at a conclusion (supporting it with evidence). Simplistically, this occurs when students give answers to questions and tell how they arrived at the answer, perhaps prompted by a teacher. But collective argumentation can be much richer, with a focus on the process of…

How can physics teachers help students develop consistent problem solving techniques for both simple and complicated physics problems, such as those that encompass objects undergoing multiple forces (mechanical or electrical) as individually portrayed in free-body diagrams and/or phenomenon involving multiple objects, such as Doppler effect…

Analysis of mathematical notations must consider both syntactical aspects of symbols and the underpinning mathematical concept(s) conveyed. We argue that the construct of "syntax template" provides a theoretical framework to analyse undergraduate mathematics students' written solutions, where we have identified several types of…

In this article, I present and build on the ideas of John Threlfall ("Educational Studies in Mathematics" 50:29-47, 2002) about strategy development in mental mathematics contexts. Focusing on the emergence of strategies rather than on issues of choice or flexibility of choice, I ground these ideas in the enactivist theory of cognition,…

Background: The ability to engage in a creative process to solve a problem or to design a novel artifact is essential to engineering as a profession. Research indicates a need for curricula that enhance students' creative skills in engineering. Purpose: Our purpose was to document current practices in engineering pedagogy with regard to…

This study examined the utility of brief academic assessments to identify effective generalization procedures for individual students. Specifically, the study built on the proposal that brief assessments of antecedent and consequence manipulations can identify the most effective generalization strategy for individual students. The design was an…

An analysis of one-step equations from a cognitive load theory perspective uncovers variation within one-step equations. The complexity of one-step equations arises from the element interactivity across the operational and relational lines. The higher the number of operational and relational lines, the greater the complexity of the equations.…

This paper explores the role examples play in mathematicians' conjecturing activity. While previous research has examined example-related activity during the act of proving, little is known about how examples arise during the formulation of conjectures. Thirteen mathematicians were interviewed as they explored tasks that required the development…

The objective of the present study is to determine the effect of the process of designing a slowmation (SMA) on the development of 21st century skills of "learning and innovation" in 4th grade science class "Light and Sound" and "Planet Earth" units. Study group included 44 students attending 4th grade in two private…

This study sought to probe the effect of two non-conventional instructions namely Flipped Classroom Model (FCM) vs. Unplugged Classroom Model (UCM) on Iranian EFL learners' oral proficiency. Therefore, 90 upper-intermediates were randomly assigned to two experimental groups and one control group (30 each). The FCM and UCM participants were…

Well-designed mathematics instruction focused on concepts and problem-solving skills associated with measurement and data analysis can build a foundational understanding for more advanced mathematics. This study investigated the efficacy of the Precision Mathematics Level 1 (PM-L1) intervention, a Tier 2 print- and technology-based mathematics…

Ubiquitous Computing, Mobile Computing and the Internet of Things (collectively referred to as UMI herein) involve recent advances in technology areas such as low-cost and miniaturized processing and sensing technologies, high-bandwidth wireless networking and so on. UMI technologies can also support the recent attempts to reform computing…

We propose ways of incorporating Google Translate into the teaching of Finnish and Hungarian in a higher education setting at different skill levels. The task types tested in our study were: analytical tasks (dictionary-like exercise, word-building, part-of-word identification), discovery method tasks (elicitation, problem solving), and awareness…

Effective teaching and learning strategy is one of the most important topics in the field of teachers' professional development. Teachers' education and pre-service teachers' training programmes provide necessary coursework, field experience, and student teaching internship experience to pre-service, potential, and second career teachers who are…

Learn how to design history lessons that foster students' knowledge, skills, and dispositions for civic engagement. Each section of this practical resource introduces a key element of civic engagement, such as defending the rights of others, advocating for change, taking action when problems are observed, compromising to promote reform, and…