The fundamental theorem of calculus (FTC) plays a crucial role in mathematics, showing that the seemingly unconnected topics of differentiation and integration are intimately related. Indeed, it is the fundamental theorem that enables definite integrals to be evaluated exactly in many cases that would otherwise be intractable. Students commonly…

The purpose of this study was to explore and reveal naïve conceptions and misconceptions about energy embedded in elementary school students' prior knowledge. Students' performance on standardized knowledge test was used to classify students into low, median and high levels of knowledge about the cardiovascular system. Semi-structured in-depth…

We investigate conditions in which novices make some reference errors when programming. We asked students from introductory programming courses to perform a simple code-writing task that required constructing references to objects and their attributes. By experimentally manipulating the nature of the attributes in the tasks, from identifying…

There is much concern in South Africa about the poor performance of learners in mathematics, particularly in geometry. The aim of this research was to explore the understanding of basic geometry concepts by grade 10 and grade 11 learners in terms of the van Hiele's levels of geometry thinking. The participants of the research were 147 learners…

Each year, policymakers, educators, and the general public engage in debates around the statewide average teacher pay figure that the North Carolina Department of Public Instruction (DPI) publishes on its website and reports to the National Education Association. These debates take up the important consideration of whether or not teachers are…

Misconceptions have been an important area of study in STEM education towards improving our understanding of learners' construction of knowledge. The advent of largescale tutoring systems has given rise to an abundance of data in the form of learner question-answer logs in which signatures of misconceptions can be mined. In this work, we explore…

Americans are anxious about rapidly rising levels of student debt. They wonder whether payments are affordable and if financing college with debt will pay off in the end. But recent news suggest another issue is increasingly on borrower's minds: bad customer service and shoddy advice during loan repayment. This can leave borrowers feeling confused…

In recent years, there have been calls for researchers to report and interpret confidence intervals (CIs) rather than relying solely on p-values. Such reforms, however, may be hindered by a general lack of understanding of CIs and how to interpret them. In this study, we assessed conceptual knowledge of CIs in undergraduate and graduate psychology…

Instructors have critically sought ways to embody the theories and ideals espoused in radical texts and work to better force changes in the type of students we produce. What is presented here is an honest reflective dialogue, based on a reflexive critique of 17 years as a professor and the students I have encountered. But more importantly, this is…

The ability to make inferences about what one's peers know is critical for social interaction and communication. Three experiments (n = 309) examined the curse of knowledge, the tendency to be biased by one's knowledge when reasoning about others' knowledge, in children's estimates of their peers' knowledge. Four- to 7-year-olds were taught the…

Purpose: Globally, women suffer from a lack of knowledge about breast cancer (BC), its symptoms and treatment. The purpose of this paper is to examine how people living in rural and less developed areas in Pakistan perceive BC. The study investigates the level of knowledge about BC in rural communities and analyses how the prevalent perceptions…

Examples are an essential part of mathematics teaching and learning, used on a daily basis to teach and practice content. Yet, selecting good examples for teaching is complex and challenging. This article presents ideas to consider when selecting examples, drawn from a research study with algebra 2 teachers.

Purpose: This paper aimed to examine the psycho-social aspects of coronavirus disease 2019 (COVID-19) in Pakistan. The study was conducted in Pakistan by using an online survey technique. The rationale to opt for this method was mainly based on the country's lock-down situations, social distancing and for the care of respondents.…

Holly Hiscox was concerned that many of her A-level students -- asked to evaluate three different historical interpretations for their non-examined assessment task -- still tended to hold unhelpful misconceptions about the nature of interpretations. In this article she explains how she created an introductory scheme of work to help them understand…

This paper explores relationships between environment and education after the Covid-19 pandemic through the lens of philosophy of education in a new key developed by Michael Peters and the Philosophy of Education Society of Australasia (PESA). The paper is collectively written by 15 authors who responded to the question: Who remembers Greta…