The goal of the paper is to pay attention to some important techniques and approaches including adequate designations as a tool for unambiguous understanding and a key to success in solving problems, vivid visual images as a mnemonic techniques, and special formulas as a universal tool for solving typical problems, when teaching medical students…

Manfred Hauben proposes an approach to teaching non-transitive relationships between 'paradoxical' dice using simple statistical graphics. This method usefully supplements traditional approaches of conditional probability calculations and trees, and students are thereby better able to see what is going on and the mechanism of these relationships.

Many mathematical concepts may have prototypical images associated with them. While prototypes can be beneficial for efficient thinking or reasoning, they may also have self-attributes that may impact reasoning about the concept. It is essential that mathematics educators understand these prototype images in order to fully recognize their benefits…

This article describes how Charles Lovitt found a classroom activity in a resource book and by peering through a pedagogy lens, enhanced, tweaked, adapted, and extended the idea into a richer, healthier, well balanced classroom lesson. The task described in the article is often presented to students as a flash card for a limited time with the…

This research was carried out in order to establish a general opinion on the effect of the teaching technique, which is referred to as the Touch Math, on the academic achievement of special needs students in mathematics courses. To this end, graduate thesis, doctoral dissertation and articles, which were made between 1990-2017, and which have…

Mathematics problems that are unfamiliar to students and contain multiple sets of information can overwhelm many struggling learners (Swanson & Beebe-Frankenberger, 2004). Academic interventions utilising visual representations can support students who are struggling to remember information and think through challenging multi-step problems…

Students with the most significant cognitive disabilities often display deficits in mathematics. One method that has had limited research to determine the effectiveness with students with the most significant cognitive disabilities is a program called TouchMath. The purpose of this study was to investigate the use of the TouchMath strategy with…

Previous research has found that different presentations of the same concept can result in different patterns of transfer to isomorphic instances of that concept. Much of this work has framed these effects in terms of advantages and disadvantages of concreteness or abstractness. We note that mathematics is a richly structured field, with deeply…

In this article, the authors describe the Japanese term "bansho," which refers to the intentional use of board space for facilitating student learning. Bansho offers a structure for sequencing mathematics visually on the board. By purposefully organizing the board space alongside the lesson, teachers can provide students with a framework…

Previous research has found that different presentations of the same concept can result in different patterns of transfer to isomorphic instances of the same concept. Much of this work has framed these effects in terms of advantages and disadvantages of concreteness or abstractness. We note that mathematics is a richly structured field, with…

Students with academic, social, and emotional disabilities often demonstrate challenging behaviors and struggle to remain focused on the lesson, learn less that their peers, resulting in lower academic achievement. Research has demonstrated that the more actively engaged students are in the lesson, the more they learn, and therefore the more…

Problem solving is one of the main competences we seek to teach students at school for use in their future lives. However, when dealing with mathematical problems, teachers encounter a wide variety of difficulties. To foster students' problem-solving skills, the authors developed "strategy keys." Strategy keys can serve as material to…

The researchers conducted an exploratory, qualitative case study to describe a combination of mathematics teaching strategies for a sixth-grade student with high-functioning autism spectrum disorder as he engaged with sixth-grade level mathematics. The interventions utilised in this study combined the use of visual representations with a variation…

Metacognitive monitoring in educational contexts is typically measured by calibration indicators, which are based on the correspondence between cognitive performance and metacognitive confidence judgment. Despite this common rationale, a variety of alternative methods are used in the field of monitoring research to assess performance and judgment…

Introduction: Because of the preponderance of visual images, many mathematics texts are wholly or largely inaccessible to students who are blind. This study investigated how much description is sufficient to communicate math content in different types of images. Methods: Representative math textbooks from grades five, eight, and 11, aligned to the…