The goal of this" Statement on Competencies in Mathematics Expected of Entering College Students" is to provide a clear and coherent message about the mathematics that students need to know and to be able to do to be successful in college. While parts of this Statement were written with certain audiences in mind, the document as a whole…

This study sought to integrate Dweck and Leggett's (1988) self-theories of intelligence model (i.e., the view that intelligence is either fixed and unalterable or changeable through hard work and effort) with Elliot and Dweck's (1988) achievement goal theory, which explains why some people are oriented towards learning and others toward…

Although students' invented strategies typically prove to be effective in the improvement of students' mathematical understanding, little is known about how preservice teachers interpret and respond to student-invented strategies on whole number multiplication. This study investigated the nature of 25 preservice teachers' interpretations of and…

The use of high-stakes assessment to measure students' mathematical performance has become commonplace in schools all over the world. Such assessment instruments provide national or international comparisons of student (and potentially teacher performance). Each form of assessment is specialised in nature and is characteristic of the culture and…

Identification and development of giftedness is a major task of mathematics teachers worldwide. An early identification of gifted children in mathematics can have a number of benefits, like, providing opportunities for the nourishment of their talent, saving them from burnout, and proper utilisation of mathematical talent in future. As creativity…

There are at least five different equivalent definitions of the absolute value concept. In instances where the task is an equation or inequality with only one or two absolute value expressions, it is a worthy educational experience for learners to solve the task using each one of the definitions. On the other hand, if more than two absolute value…

Perceptual characteristics of mathematical equations may influence solvers' problem solving. For example, in a study of equations involving addition and multiplication, Landy and Goldstone (2010) showed that participants tended to perform narrowly spaced operations first, suggesting that spacing affects how symbols are grouped for problem solving.…

This paper describes the learning trajectory for Early Equations and Expressions (EELT), one of the 18 learning trajectories presented at www.TurnOnCCMath.net, developed to interpret the Common Core Standards for Mathematics based on research on student learning. The EELT is foundational for introducing concepts of early algebra and setting the…

The research findings describe a model of experiential learning that promotes the development of foundation phase student teachers' metacognitive abilities for mathematics through classroom reflective discourse using an open approach. A case study was carried out on two foundation phase mathematics classes in South Africa's universities; data were…

Issues of global and local importance such as climate change and homelessness require critical perspectives across multiple disciplines including science, technology, engineering and mathematics (STEM). Our paper brings critical mathematics education and social justice alongside STEM education to explore experiences of learning to teach. We focus…

"Building Computational Thinkers," a three-year research study, explored how educators and designers can most effectively support the development of computational thinking capacity, and how these learning experiences could be customized to meet the needs of different learners. This research study focused on three specific exhibit design…

In this article, we discuss the approach adopted within the Vanderbilt University Learning Disabilities Innovation Hub, which focuses on students with higher-order comorbidity: students with concurrent difficulty with reading comprehension and word-problem solving. The aim of the Hub's Research Project is to test what we refer to as the…

Many teachers' experiences in problem-based classrooms are limited, therefore, mathematics teacher educators face a significant challenge when trying to inspire in-service teachers (ISTs) to teach through problem solving. To address this challenge, the professor in a mathematics education course designed and implemented an instructional model…

Geometry students have few opportunities to apply geometric concepts and solve geometry problems in authentic contexts. We developed a Ubiquitous Geometry (UG) system to teach geometry to elementary students by using it to measure common objects in authentic contexts. The instant study investigates the effects of UG on student geometry estimation…

Why do people change their strategies for solving problems? In this research, we tested whether negative feedback and the context in which learners encounter a strategy influence their likelihood of adopting that strategy. In particular, we examined whether strategy adoption varied when learners were exposed to a target strategy in isolation, in…