In this paper, the properties of tangential and cyclic polygons proposed by Lopez-Real are proved rigorously using the theory of circulant matrices. In particular, the concepts of slippable tangential polygons and conformable cyclic polygons are defined. It is shown that an n-sided tangential (or cyclic) polygon P[subscript n] with n even is…

Specific examples are used to discuss assessment, an integral part of mathematics instruction, with problem posing and assessment of problem posing. General assessment criteria are suggested to evaluate student-generated problems in terms of their quantity, originality, and complexity.

This article describes the formation of a pedagogy-focused online discussion group for middle school mathematics teachers. Advice is offered for those seeking to establish similar conversations among their colleagues.

Arbitrarily applicable derived relational responding has been argued by relational frame theorists to be a form of operant behavior. The present study examined this idea with 4 female participants, ages 4 to 5 years old, who could not perform a series of problem-solving tasks involving arbitrary more than and less than relations. In a combined…

Encouraging students to share and compare solution methods is a key component of reform efforts in mathematics, and comparison is emerging as a fundamental learning mechanism. To experimentally evaluate the effects of comparison for mathematics learning, the authors randomly assigned 70 seventh-grade students to learn about algebra equation…

Meanings of "surprise" are wide and include uplifting and engaging facets like wonder and amazement on the one hand as well as ones that may be of the opposite nature like interruption and disrupt on the other. Pedagogically, educators who use surprise in class activities are focusing on students being "taken aback" by a situation, hopefully…

In this article, the author argues that coordinate geometry and all its trappings should be banned from key stage 2 in English schools. To explain why he makes such a strong statement, he discusses geometry problems tackled by the Ancient Greeks, showing how meaningful problem solving can occur without the use of coordinates and the corresponding…

In this article, the author presents an innovative approach to teaching multiplication facts for children in middle school or younger. After introducing the dangers of some contradictions that persist, relating a brief summary of related research and guidelines regarding math facts and their relation to strategic approaches to more complex math,…

The purpose of this article is to provide an overview of research-based interventions that incorporate self-regulation strategies to improve mathematics performance of students with learning disabilities (LD). Self-regulation is a metacognitive function essential to academic success. Students with LD are notoriously poor at self-regulation and…

We are delighted to welcome you to the International Psychological Applications Conference and Trends (InPACT) 2017, taking place in Budapest, Hungary, from 29 of April to 1 of May, 2017. Modern psychology offers a large range of scientific fields where it can be applied. The goal of understanding individuals and groups (mental functions and…

This document contains the second volume of the proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education. Conference papers are centered around the theme of "Learners and Learning Environments." This volume features 43 research reports by presenters with last names beginning between Adl…

Sixty-five fourth-grade, fifth-grade and sixth-grade teachers in the Midwestern United States participated in professional development opportunities designed to increase their mathematics content knowledge and pedagogical knowledge over a two-year series of workshops. Through the use of pre-tests and post-tests assessing content knowledge and…

This paper offers a tutoring model its objective is to develop and establish the pedagogical-disciplinary knowledge of prospective computer science teachers with respect to guiding learners in problem-solving processes. The paper presents the tutoring model and the research that accompanied its implementation. The research findings indicate that…

This study examined the effects of an inductive multimedia program, including graphs, on subjects' ability to create linear functions and conceptualize variables from word problems. Subjects were 98 undergraduate students in two sections of a computer literacy course. Students' achievements were assessed via pre- and posttests, which were parallel…

The purpose of this practicum was to determine if adult students engaged in training for high technology jobs can realize a time savings if customary or metric units of measure are used for practical mathematical calculations. Two quizzes were developed, and validated, using customary and metric units for the same type of problem, and the time to…