The key difference between math as math and math in science is that in science we blend our physical knowledge with our knowledge of math. This blending changes the way we put meaning to math and even the way we interpret mathematical equations. Learning to think about physics with math instead of just calculating involves a number of general…

The research aims at examining the counting skills of children in the preschool period. For this purpose, this study has been planned according to the "survey model". The study group of the research is comprised of 108 children with ages between 60th-72nd months, who attend kindergartens. The "Counting Skills Test" has been…

The transition from informal to formal mathematics is an important episode in children's mathematical development. The current study investigated how young children's computational estimation performance and strategy use develops in this transitional period. The computational estimation performance of 350 children was assessed before the start of…

The aim of this study was to improve the 2nd- and 3rd-graders' conceptual subitizing skills by using in-class activities, and to examine whether the practice affects the students' basic number processing skills, calculation performance and overall mathematics achievement in the long run. The training was carried out for eight weeks (640 min in…

Over its short disciplinary history, computing has seen a stunning number of descriptions of the field's characteristic ways of thinking and practicing, under a large number of different labels. One of the more recent variants, notably in the context of K-12 education, is "computational thinking", which became popular in the early 2000s,…

One of the main topics of elementary physics is the idea that every material is composed of "little particles that move around in perpetual motion, attracting each other when they are a little distance apart, but repelling upon being squeezed into one other." These particles could be atoms or molecules. Atoms are the smallest part into…

This study presents a latent (item response theory--like) framework of a recently developed classical approach to test scoring, equating, and item analysis, referred to as "D"-scoring method. Specifically, (a) person and item parameters are estimated under an item response function model on the "D"-scale (from 0 to 1) using…

In late November 2020, there was a flurry of media coverage of two companies' claims of 95% efficacy rates of newly developed COVID-19 vaccines, but information about the confidence interval was not reported. This paper presents a way of teaching the concept of hypothesis testing and the construction of confidence intervals using numbers announced…

Computational thinking (CT) is an analytical thinking approach to solving daily problems by utilizing fundamental concepts of computer science. In the past decade, CT has been regarded as an essential life skill to be taught to everyone, especially young learners. One overarching and unresolved issue related to including CT into the K-12…

A procedure that can be used to evaluate the variance inflation factors and tolerance indices in linear regression models is discussed. The method permits both point and interval estimation of these factors and indices associated with explanatory variables considered for inclusion in a regression model. The approach makes use of popular latent…

In this article, alternative randomized response models are proposed, which make use of sum of quantitative scores generated from two decks of cards being used in a survey. The proposed methods are compared to the Odumade and Singh and Singh and Grewal models through a simulation study. It is shown that the modified methods can be used more…

Measures initially designed to be single-trait often yield data that are compatible with both an essentially unidimensional factor-analysis (FA) solution and a correlated-factors solution. For these cases, this article proposes an approach aimed at providing information for deciding which of the two solutions is the most appropriate and useful.…

Young and Holsteen (YH) introduce a number of tools for evaluating model uncertainty. In so doing, they are careful to differentiate their method from existing forms of model averaging. The fundamental difference lies in the way in which the underlying estimates are weighted. Whereas standard approaches to model averaging assign higher weight to…

Purchasing skills are important for students with disabilities, including those with support needs, to access their community and future employment opportunities independently. However, making purchasing and money decisions can involve a variety of mathematics skills like rounding, estimation, and price comparison. Schematic diagrams and…

The use of technologies in mathematics education at all levels has been discussed extensively for a number of years. It is one of the few themes that was the object of two ICMI studies, the most recent being published in 2010. Two new approaches, emerging lately in the teaching and learning of Mathematics at all levels, will be discussed:…