In this article, we provide an empirical example of how digital technology; in this case, GeoGebra may assist students in uncovering--or whiteboxing--the content of a mathematical proof, in this case that of Proposition 41 from Euclid's "Elements." In the discussion of the example, we look into the impact of GeoGebra's…

Research projects involving science shops and citizen science in their promotion of participatory approaches are flourishing globally. However, an instrument evaluating the impacts of such approaches at different stages of a participatory research processes has yet to be validated. The InSPIRES H2020 project developed an impact evaluation tool for…

A central principle of programmatic assessment is that the final decision is not a surprise to the learner. To achieve this, assessments must demonstrate predictive and consequential validity, however, to date, research has only focussed on the former. The present study attempts to address this gap by examining the predictive and consequential…

Many proofs of the arithmetic mean harmonic mean inequality have been proposed based on the rich connections between mathematics and physics. Sometimes the Arithmetic Mean Harmonic Mean inequality is proved by using electric networks. In this note, we use a simple set of two springs, instead of four springs which would be the equivalent set to…

The purpose of this article is to examine the application of randomized controlled trial (RCT) methodology for determining the efficacy of school-based interventions in general and special education. In education science, RCTs are widely acknowledged as the gold standard of efficacy research, with other methodologies relegated to a lower level of…

Background: Diet quality assessment in community health settings is critical to reduce the incidence and improve management of diet-related chronic disease. Unfortunately, understandable and actionable brief dietary screening tools that empower individuals are nearly absent. Purpose: The purpose of this article is to describe two rigorous…

Planning intervention for narrative comprehension deficits requires a thorough understanding of a child's skill in all component domains. The purpose of this study was to examine the validity of three methods of measuring pre-readers' event knowledge, an important predictor of story comprehension. Thirty-eight typically developing children (12…

In the long history of psycholinguistic research on verifying negative sentences, an often-reported finding is that participants take longer to correctly judge negative sentences true than false, while being faster to judge their positive counterparts true (e.g. Clark & Chase, Cogn Psychol 3(3):472-517, 1972; Carpenter & Just, Psychol Rev…

Phenomenography is an empirical approach to ascertain the qualitatively different ways in which individuals experience and understand aspects of the world around them. Originating in educational research (Marton, F., & Säljö, R. (1976). On qualitative differences in learning. 1- outcome and process. "British Journal of Educational…

Despite the ease of accessing a wide range of measures, little attention is given to validity arguments when considering whether to use the measure for a new purpose or in a different context. Making a validity argument has historically focused on the intended interpretation and use. There has been a press to consider both the intended and actual…

As a follow-up to their article, "Emojis and Their Place in the Mathematics Classroom" (EJ1358586), the authors examine how emojis can be used as bridging representations to support student understanding of proof and algebra in upper primary school. They take a problem from reSolve, Level 3, (AAMT, 2020), look at it from the perspective…

This paper presents a novel figure for teaching multiple geometric proofs of the Pythagorean theorem. Because it consists only of congruent given right triangles, the figure can be constructed using a template of the given right triangle or, if available, a computer program. Within the figure, called a Pythagorean multi-proof square, there are…

Objective: To conduct a systematic review of the measures designed to assess sluggish cognitive tempo (SCT) since the first SCT scale using careful test-construction procedures was published in 2009. Methods: The MEDLINE (PubMed), Embase, PsychINFO, and Web of Science databases were searched from September 2009 through December 2019. Articles…

Feedback has great influences on student retention and completion, especially on the minority students in higher education. However, the debates on the paradoxical difference between feedback's theoretical potential and its effect in actual practice remain unsettled. This study seeks to address some primary issues in feedback research by…

The current study examined the convergent validity between the standardized PEAK Comprehensive Assessment (PCA) and the semi-standardized PEAK Pre-assessment (PEAK-PA). Twenty-two participants were administered each tool, and an item by item analysis was conducted to evaluate correlations between tests. The results suggested a strong positive…