The standards from the Operations and Algebraic Thinking (OA) domain in the Common Core State Standards for Mathematics (CCSSM) build on one another across the grades (CCSSI 2010). Understanding each grade level's OA standards is necessary within the broader context of the K-grade 5 OA standards. In this article, the authors share their…

This paper presents qualitative and quantitative approaches to exploring teachers' experiences of mathematics anxiety (for learning and doing mathematics) and mathematics teaching anxiety (for instructing others in mathematics), the relationship between these types of anxiety and test/evaluation anxiety, and the impacts of anxiety on experiences…

Task design is increasingly recognised as crucial for enhancing student learning of mathematics. Even so, and despite the significance of mathematical activity related to proofs and counterexamples in school mathematics, the task design principles underpinning students' success in proof-related activity remains under-explored in mathematics…

Are students transitioning from the secondary level to university studies in mathematics and engineering adequately prepared for education at the tertiary level? In this study, we discuss the prior mathematical knowledge and skills demonstrated by Norwegian engineering ("N" = 1537) and calculus ("N" = 626) university students…

The aim of this study was to investigate the enhancement of the mathematical understanding ability of pre-service mathematics teachers through Activity-Class discussion-Exercise (ACE) teaching cyclic based on APOS theory. This study used a quasi-experiment method with non-equivalent pre-post test control group design. The subjects of this study…

This study aimed to reveal the common errors in fractions, the associated thinking strategies among 5th graders, and the persistence of these errors. A quantitative method was applied in this study through calculating the percentages of every type of error the students made in the diagnostic test, The qualitative part was performed through…

This research is based on an individual case finding, where the response from individuals in answering the mathematical problems is initiated with perplexity to proceed with the new finding by reflecting on the previous experience. This research aimed at contributing practically on the indicators causing a perplexity on students which described…

Certain aspects of theoretical frameworks in mathematics education can remain unexplained in the literature, hence unnoticed by the readers. It is thus interesting to participate in a dialogue where they can be discussed and compared in terms of the aims, objects studied, results and their relation to teaching. This study is focused on how APOS…

This study investigates the teaching and learning of single-digit whole number multiplication in China. Analysis of data from documents, classroom teaching, and semi-structured interviews revealed three salient characteristics of emphasizing "oral calculation," "calculation speed," and "understanding" across…

In recent years, increased attention has been given to the ideas of growth mindsets, brain science, and mathematical mindsets thanks to the important contributions by Dweck (2008), Boaler (2015), and their research teams. Many math teachers invest the time and energy into thinking about what motivates students to learn. The body of work on…

This study offers an account of ways in which "ritual" (McCloskey, 2014) serves as a lens for identifying societal and cultural patterns related to mathematics teaching and learning in present-day US classrooms. We use data from an ethnographic study of a fifth grade mathematics classroom in which a student teacher and a mentor teacher…

According to the conceptual framework for K-grade 12 statistics education introduced in the 2007 Guidelines for Assessment and Instruction in Statistics Education (GAISE) report, students can be located at one of three developmental levels of statistical literacy: A, B, or C. These levels are independent of age and grade level, so, in theory,…

Mathematics classrooms are increasingly becoming sites for investigating social (in)justice, but research on teaching mathematics for social justice remains limited to individual case studies. This article reports on a metasynthesis of 35 qualitative reports of social justice mathematics enactments in diverse classroom contexts. Critical race…

The purpose of this note is to discuss how paper folding can be used to find the exact trigonometric ratios of the following four angles: 22.5°, 67.5°, 27°, and 63°.

In this study, the author examined student attempts to translate a verbal problem into an algebraic statement relating two variables, after they had solved an arithmetic question from the same problem. A total of 645 students from New England (U.S.A.) answered the problem on a mathematics assessment administered at the beginning of the school…