Educators who are urged to use evidence-based practices to improve instruction often end up disappointed at the results, which fall short of those touted in the research and by the What Works Clearinghouse. Stanley Pogrow explains how common strategies researchers use to demonstrate evidence of success, such as statistical significance of or…

In the article 'How Long Is My Toilet Roll--A Simple Exercise in Mathematical Modelling' several models of increasing complexity are introduced and solved to calculate indirectly the length of paper on a toilet-roll. All these results are presented without errors. The authors of this comment believe the error analysis of measurements made in a…

Tingir et al. (2017) concluded from their meta-analysis that the subject areas taught through mobile devices had significantly higher achievement scores (d = 0.48) than the ones taught with traditional teaching methods. Given the relatively high positive effect of mobile devices on student achievement, we carefully analysed the selected research…

The Poisson distribution describes the probability of a certain number of events occurring in an interval of time when the occurrence of the individual events is independent of one another and the events occur with a fixed mean rate. Probably the best-known example of the Poisson distribution in the physics curriculum is the temporal distribution…

With technology integration efforts expanding to early childhood education globally, assessing preschool teachers' technological competence beliefs is imperative. However, most existing tools measuring teachers' information and communication technology (ICT) competence beliefs focused on primary through secondary grades. This study examined the…

We develop a structural after measurement (SAM) method for structural equation models (SEMs) that accommodates missing data. The results show that the proposed SAM missing data estimator outperforms conventional full information (FI) estimators in terms of convergence, bias, and root-mean-square-error in small-to-moderate samples or large samples…

This paper aims to describe the development process of the Observation Protocol for Teaching Activities in Mathematics (POAEM) and to report the findings from the qualitative and statistical analyses used to provide evidence of validity and reliability of the information collected with the first version of the POAEM. As part of this development…

The complexity in understanding the [epsilon-delta] definition has motivated research into the teaching and learning of the topic. In this paper I share my design of an instructional analogy called the Pancake Story and four different questions to explore the logical relationship between [epsilon] and [delta] that structures the definition. I…

Despite ongoing global efforts to combat discrimination, hate speech is a growing problem in many countries. Hate speech is also widespread among young people and thus also affects schools. Because of the negative consequences of hate speech for the targeted individuals and for society in general, schools and teachers are generally encouraged to…

In this work, we have developed an alternative device composed by an Arduino board and an INA219 sensor to experimentally obtain the mathematical formulas describing the charge and discharge of the capacitor for educational proposes. We have obtained excellent agreement between theoretical prediction and experimental measurements. The INA219 DC…

Estimating measurement uncertainties is important for experimental scientific work. However, this is very often neglected in school curricula and teaching practice, even though experimental work is seen as a fundamental part of teaching science. In order to call attention to the relevance of measurement uncertainties, we developed a comprehensive…

This paper makes a proposal, from the perspective of a research mathematician interested in mathematics education, for broadening and deepening whole number arithmetic instruction, to make it more relevant for the twenty-first century, in particular, to enable students to deal with large numbers, arguably an essential skill for modern citizenship.…

The present study examines the measurement property of instructional quality in mathematics education, building on data from teachers and students, by combing TALIS 2013 and PISA 2012 linkage data from seven countries. Confirmatory factor analysis was applied to examine the dimensionality of the construct instructional quality in mathematics…

Cognitive diagnostic models (CDMs) are a family of psychometric models designed to provide categorical classifications for multiple latent attributes. CDMs provide more granular evidence than other psychometric models and have potential for guiding teaching and learning decisions in the classroom. However, CDMs have primarily been conducted using…

The purpose of this study was to investigate the effect of augmented reality (AR) using a 3D app in a smartphone on students' learning outcomes and satisfaction in teaching angle measurement error to vocational high school students with different spatial ability. A quasi-experimental pretest/posttest was employed. There were 197 students from…