Producing content-related gestures has been found to impact students' learning, whether such gestures are spontaneously generated by the learner in the course of problem-solving, or participants are instructed to pose based on experimenter instructions during problem-solving and word learning. Few studies, however, have investigated the effect of…

The Earth's shape concept develops as consecutive cognitive problems (e.g., the location of people and trees on the spherical Earth) are gradually resolved. Establishing the order of problem solving may be important for the organisation of teaching situations. This study attempted to determine the sequence of problems to be resolved based on tasks…

Curricula in computer engineering, computer science, and other related fields include several courses about hardware design. Examples of these courses are digital logic design, computer architecture, microprocessors, computer interfacing, hardware design, embedded systems, switching theorem, and others. In order for the students to realize the…

In this paper we introduce the reader to a foundational topic of differential geometry: the curvature of a curve. To make this topic engaging to a wide audience of readers, we develop this intuitive introduction employing only basic geometry without calculus and derivatives. It is hoped that this introduction will encourage many more to both…

Pairing the mid-century work of Ada Dietz (1882-ca. 1970) with two compelling contemporary projects from Sonya Clark (1967- ), this article considers the ways in which normative mathematical ideas are remade through their engagement with weaving practice. Highlighting recent efforts to further ethnomathematics' original decolonial intentions, I…

We developed and tested strategies for using spatial representations to help students understand core probability concepts, including the multiplication rule for computing a joint probability from a marginal and conditional probability, interpreting an odds value as the ratio of two probabilities, and Bayesian inference. The general goal of these…

The standards of educational information exchange are still firmly rooted in a Newtonian paradigm that emphasizes strict rules of information exchange. With the explosion of information since World War II, and especially its accessibility through the mechanism of the internet, this paradigm has become a barrier to effective exchanges of…

After teaching last 10 years and analyzing student work, I realize that in developmental and Elementary Algebra courses there is a disconnection between the students conceptual understanding in context in contrast to their procedural fluency. In some cases, students can perform the procedure, but do not understand when the procedure is valid. In…

Interactive simulations allow students to independently explore scientific phenomena and ideally infer the underlying principles through their exploration. Effectively using such environments is challenging for many students and therefore, adaptive guidance has the potential to improve student learning. Providing effective support is, however,…

Chemistry is one of the important branches of science. The subject matter of chemistry consists of numerous complex and abstract concepts. Therefore, sometimes students have flawed understanding of these concepts. These erroneous concepts are known as misconceptions. The purpose of this study was to investigate the misconceptions for Valency and…

IUPAC nomenclature of lower alkanes (1C to 10C) is quite common and digestible. But students face problems remembering and predict IUPAC word-root during IUPAC nomenclature of higher alkanes (C >11). Here in this innovative article, I have tried to focus IUPAC nomenclature of higher alkanes (11C to 90C) through the prediction of IUPAC word root…

Evolution is central to biology education and yet, it is often one of the most misunderstood and controversial topics that biology educators must teach. Research spanning the last four decades has shown that students continue to struggle, even with direct instruction, to understand the process of evolution by natural selection. In my first…

Broad exploration is often the best way to solve complex problems because the best solution might not come to mind first. Consequently, creative thinking, like simulated annealing, begins with a "hot" exploratory phase of broad solution search and gradually "cools" to exploitation and narrowing the search space. In solving…

Nowadays, tablets and their applications are part of the children's daily lives. These digital educational activities can become a potent educational tool for efficient and effective in neurotypical as well as children with autism spectrum disorder (ASD). Tablets and their applications allow children to take advantage of new learning platforms and…

This paper investigates profiles of high school students' mathematical problem-solving beliefs following the introduction of a new mathematics curriculum. In this quantitative study, 490 high school students responded to a mathematical problem-solving beliefs questionnaire to provide data about their beliefs related to mathematical problem…