This article explains how explorations into the quadratic formula can offer students opportunities to learn about the structure of algebraic expressions. In this article, the author leverages the graphical interpretation of the quadratic formula and describes an activity in which students derive the quadratic formula by quantifying the symmetry of…

Two methods of decoding instruction were compared. Participants were kindergartners who knew letter sounds but could not decode nonwords, M = 5.6 years. The segmented phonation treatment taught students to convert graphemes to phonemes by breaking the speech stream ("sss -- aaa -- nnn") before blending. The connected phonation treatment…

Using Cultural-Historical Activity Theory, we analyze lecturers' views on the aims and teaching practices of mathematical modelling (MM) education in Norway and England. We aim to expose the tensions that exist within the activity of teaching MM at university, such as those between multiple, sometimes competing, aims for teaching MM, or between…

Drawing from data generated in a third-grade classroom in the months following the 2016 US presidential election, this article zooms in on self-produced videos a child made of her writing process. Organized around 3 "takes" of the child's writing, the author provides readers a glimpse into (1) the child's composing in the videos, (2) a…

This research examined first year undergraduate tertiary student preferences for different online video playback options by comparing a didactic long lecture recording versus a series of topical 'chunked' videos of identical learning material in an information literacy unit. Student preference was determined by student unique download choice of…

Picture students huddled around a 3D printer in a middle school classroom. They gaze at the object being printed, and exclamations of, "Where is that flag from?" "What does that symbol mean?" and "Oh; I didn't think of that!" can be heard. These examples of observation, curiosity, and critical thinking are the elusive…

The 21st century requires different and innovative ways of teaching compared to the previous century. As a result, a new and current educational approach called innovative pedagogy comes out as an issue. This study aims to investigate classroom teachers' innovative pedagogical practices with different variables, as well as the contributing or…

Many recent studies document the difficulties that students experience when learning organic chemistry, often due to the complex visualization and reasoning skills required to successfully understand the ways molecules interact in specific environments. Many of these studies call on instructors to improve their teaching strategies to support…

Epistemic cognition involves the thinking executed as people discern what they know versus what they question, doubt, or disbelieve. Effective or adaptive epistemic cognition underlies the higher-order thinking required for life in the 21st century and has been positively correlated with academic achievement. As such, researchers have designed a…

This paper describes a study that used a novel method to investigate conceptual difficulties with mathematical induction among two groups of undergraduate students: students who had received university-level instruction in formal mathematical induction, and students who had not been exposed to formal mathematical induction at the university level.…

When faced with pervasive--and increasingly creative--forms of plagiarism and cheating, what should faculty members do? Give in? Give up? Or should they consider the classic break-up line "It's not you--it's me" and make changes in the ways they assess student learning? If faculty truly wish to increase student success and decrease acts…

We conducted a survey of about ten different pedagogical tools with students of seven different small undergraduate business classes with average class size of 27 students. We propose that the higher the students' agreement with specific pedagogical methods the higher their motivation as well as their learning outcomes. A statistical significance…

How does a picture teach a viewer to look at it, understand it, and make meaning? (The theoretical basis of this article and elements of its expression have been drawn from Peter Pericles Trifonas. (1998). "Cross-mediality and narrative textual form: A semiotic snalysis of the lexical and visual signs and codes of the picture bnook."…

Addressing the learning crisis in low-income contexts remains a major concern. This paper analyses how active teaching and learning pedagogy (ATL) was implemented in secondary schools in Malawi to improve learning outcomes. Based on interviews with teachers and headteachers from five schools, the paper seeks to explore how ATL was understood and…

Positive creativity is creativity that makes the world a better place--that makes a positive, meaningful, and potentially enduring difference to the world. Positive creativity can be a bit of a slippery concept in that, what is positive to one person or one group may be neutral or even negative to another group. Much of teaching young people for…