The structure sense is a part that must be learned in order to help understand and construct connection in abstract algebra. This study aimed at building the pattern of a structure sense as a profile of the structure sense in group property. Using a qualitative study, the structure sense of group property was explored through lecturing activity of…

The introduction of auxiliary elements as a method of solving problems in high-school geometry is considered here from two perspectives: first, to elicit recalling some known result or concretizing a definition and, second, as a means of shifting the focus and structure of the students' attention. We present and compare various examples of how…

This study aims to generate the valid and practical PISA-like mathematics problems on uncertainty and data using the football game context of Asian Games. It also aims to see the potential effects of the problems towards the high school students' mathematical ability. This study used a design research methodology with the type of development study…

A large body of experimental research on stereotype threat concentrated on immediate consequences of this effect. Far less attention has been given to the underlying mechanisms that may explain accumulative and long-term consequences of stereotype threat. To shed new light on the dynamic of stereotype threat, the current research examined the…

Results on the National Assessment for Education Progress and the Program for International Student Assessment show that high school mathematics instruction is past due for a redesign. Despite calls for reform going back at least four decades, the structure of math instruction has remained largely the same. In April 2018, the National Council of…

This paper explores strategic grouping in a Southern, suburban high school mathematics classroom. Two grouping techniques were implemented on review days in Algebra II classes in which composition based on ability varied strategically. The researcher examined the Alternate Ranking Method for Grouping compared to normal heterogeneous grouping for…

This study was conducted to gain understanding about potential influences that learning about quadratic functions has on high school algebra students' action versus process views of linear functions. Pre/post linear functions tests were given to two classrooms of Algebra II students (N=57) immediately before and immediately after they participated…

Purpose: To assess students' problem-solving skills, this study aims to investigate the consistency between self- and peer-ratings in consideration of the teachers' ratings in the process. Method: This study was a descriptive study which examines the mathematical problem-solving skills with the MFRM model concerning self-, peer- and teachers'…

The main aim of this research is to examine the effect of an instructional design based on the Algo-Heuristic Theory of Instruction (AHTI) on students' mathematics performance and logical thinking skills in the subject of 7th grade mathematics. The research is grounded in a mixed method. In the quantitative part of the research, a…

The literature on the barriers encountered in the use of technology in education indicates that the internal barriers have a deterministic effect within this process. Therefore, it is important to determine the way teachers use technology as well as their opinions and attitudes towards technology in order to ensure effective use of technology in…

Solving arithmetic word problems is a complex task that requires individuals to activate their working memory resources, as well as the correct performance of the underlying executive processes involved in order to inhibit semantic biases or superficial responses caused by the problem's statement. This paper describes a study carried out with 135…

Researchers have been interested in students' transition to calculus since the early 1900s. One line of inquiry highlights students' understandings of high school mathematics as impeding or supporting their successful transition to university mathematics. This paper addresses an underlying question in this line of inquiry: does school mathematics…

In this paper we examine changes to the national calculus curriculum of South Korea, where mathematics performance often serves as the mark of academic excellence. We describe relevant cultural traditions of mathematics education in South Korea, including the history of curricular changes in calculus at the secondary level. We then investigate how…

Many studies have reported on the influence of teachers' conceptions of variability on different aspects of their professional knowledge for teaching statistics and their classroom practices. However, research on these kind of conceptions is still scarce, particularly in Latin American countries like Venezuela. In an effort to help fill this gap,…

This paper analyzes the content and tasks involving quadratic equations in eight mathematics textbooks published during the period 2000-2012 at the uppersecondary level in Sweden. The study applies the theoretical "hypothetical learning trajectory" (HLT) framework combining "conceptual" and "procedural" knowledge. The…