Even though discourse-intensive mathematics instruction is a widely endorsed pedagogy for preservice elementary teachers, much still remains unknown about how this type of instruction affects student learning. This study investigated the relationship between talk moves that prompted preservice teachers to respond to each other's contributions…

This study examines how critical mathematical literacy teachers conceptualize their practices and how those practices were demonstrated in the classroom. Practices were considered from an ontology of mathematics education, specific to critical mathematical literacy, in which classroom interactions question what it means to do mathematics as an…

Using a case study, the complex challenge of making mathematics education research accessible to secondary mathematics teachers was addressed with two questions. How can we design a method that will meet the challenge of making research usable for mathematics teachers? And what would this method be? To address this challenge we describe a process…

The purpose of this study was to examine pictorial representations, whether in static or dynamic modalities, and their impact on student learning in a classroom with low-achieving students. The investigation emerged from a classroom teacher's action research project. During a three-week fraction unit, nineteen third-grade low-achieving students…

This article features Khan Academy which offers an online math program and short video lectures embedded in the "module", or math concept, that fit students' goals. By now, more than 1 million people have watched the online video in which Salman Khan--a charming MIT math whiz, Harvard Business School graduate, and former Boston hedge-fund…

Some intensive quantities, such as slope, velocity, or likelihood, are perceptually privileged in the sense that they are experienced as holistic, irreducible sensations. However, the formal expression of these quantities uses "a/b" analytic metrics; for example, the slope of a line is the quotient of its rise and run. Thus, whereas students'…

The research presented here is a group case study of students learning calculus in a Computer Algebra System (CAS) environment which examines the following research questions: What are students' perceptions of the role of technology in their learning? What is the students' relationship to CAS? What is the effect of learning in a CAS environment on…

The aim of this study was to evaluate preservice primary mathematics teachers' ability to discuss and investigate students' thinking process about the concepts of variable, equality and equation, to analyse their ability to predict student difficulties and misconceptions and, in this respect, to present their subject-matter knowledge and possible…

"Welcome to Conversions Rock" is a new math program designed to build and reinforce the important skills of converting fractions, decimals, and percents for students in grades 6-8. Developed by The Actuarial Foundation, this program seeks to provide skill-building, real-world math to help students become successful in the classroom and beyond. [A…

The gap between young Indigenous and non-Indigenous students' capability within mathematics is widely acknowledged. This gap is conjectured to exist at all levels of schooling, including pre-school, and widens as students mature. Most of these findings are based on research relating to students' understanding of number and space. Little is known…

Probability is receiving increased coverage in all levels of education. Knowledge of the Law of Large Numbers may be an important factor in developing a true understanding of the subject. Study results evidence a lack of awareness of this fundamental principle among teachers of mathematics. Study results also suggest that additional probability…

This study arose from an interest in the possible presence of mathematics disabilities among students enrolled in the developmental math program at a large university in the Mid-Atlantic region. Research in mathematics learning disabilities (MLD) has included a focus on the construct of working memory and number sense. A component of number sense…

Rate is an important, but difficult mathematical concept. More than twenty years of research, especially with calculus students, report difficulties with this concept. This paper reports on an alternative analysis, from the perspective of multiple representations and context, of interviews probing twenty Victorian Year 10 students' conceptions of…

This dissertation answers three research questions: (1) What are the characteristics of a combinatoric measure, based on the Average Search Length (ASL), that performs the same as a probabilistic version of the ASL?; (2) Does the combinatoric ASL measure produce the same performance result as the one that is obtained by ranking a collection of…

This paper presents data gathered during a three-year study that explored the experiences with measurement that children have in prior-to-school and out-of-school contexts, and the ways in which children are able to represent these experiences. In this present investigation, examples of the children's responses to an open-ended drawing task,…