Over the last decade, researchers have investigated the nature and scope of mathematical knowledge for teaching (MKT) and have provided evidence that teachers' MKT plays a critical role in the effectiveness of teaching and learning. This dissertation focuses on the problem of helping teachers develop MKT. Two goals shape the research: (1) to…

This paper examines correspondences and disjunctions within a national curriculum and between various aspects of its delivery, and how these align with the mathematical needs of the workplace. This is investigated in the context of the New Zealand school mathematics curriculum; the Numeracy Development Project; the senior school assessment regime,…

This article describes how a Brier score analysis can be used as an evaluative tool to estimate the predictive accuracy of a course placement policy that was established based on professional or subjective judgment. The policy being evaluated uses the score received on the mathematics portion of the SAT examination as the primary mechanism to…

Mathematical modelling is increasingly becoming part of an instructional approach deemed to develop students with competencies to function as 21st century learners and problem solvers. As mathematical modelling is a relatively new domain in the Singapore primary school mathematics curriculum, many teachers may not be aware of the learning outcomes…

Though a large percentage of U.S. students enter higher education with mathematics deficiencies, many institutions allow these students to decide the timing of their enrollment in developmental mathematics courses. This study of 3476 first-time-in-college students entailed the review of student outcomes (Fall GPA, Fall-to-Spring retention,…

Mathematics teaching is an interaction between the teacher and the learners that leads to acquisition of desirable mathematical knowledge, ideas and skills necessary for applicability in our everyday life. This paper therefore looks at the concept of self-reliance, the concept of mathematics teaching, problems and prospects of mathematics teaching…

In this era of access, personalizing learning means allowing students to choose their own paths through the curriculum. However, the ability to learn what we want, when we want it, and with whomever we want creates a huge push against a system of education steeped in time-and-place learning. Fundamental changes need to happen in schools to provide…

The view of learning as a particular type of the activity of communicating with others and with oneself has already been shown to unify the once separate lines of study devoted to cognitive and to social aspects of learning. This approach is now extended so as to include the study of affect. In this article, emotional expressions are treated as an…

Rather than feeling overwhelmed at the thought of integrating the new Common Core State Standards for Mathematics (CCSSI 2010) into their teaching practice, teachers might view this as an opportunity to deeply embed mathematics into the K-grade 2 curriculum in the same way that literacy has long been rooted into early learning environments.…

Few studies on the role of bilingualism in mathematics classrooms explore the intersection of biliteracy, language use, mathematical discourse, and numeracy--especially at the middle school level. Drawing from biliteracy development theory and reform mathematics education literature, this qualitative case study of a dual-language mathematics…

Effective mathematics teaching for Indigenous language speaking students needs to be based on fair expectations of both students and teachers. Concepts of "age-appropriate learning" and "school readiness" structure assessment expectations that entire cohorts of Indigenous language speaking students are unable to meet. This…

In this paper we focus on variation of the design and the implementation of a specific task during three mathematics lessons in the 8th grade in a learning study (Marton & Tsui, 2004; Runesson, 2008). The theme of the lesson was division, with a denominator between 0 and 1. The teachers wanted their students to understand that when dividing…

Since 1973, the National Assessment of Educational Progress (NAEP) has gathered information about student achievement in mathematics. Results of these periodic assessments, produced in print and web-based formats, provide valuable information to a wide variety of audiences. They inform citizens about the nature of students' comprehension of the…

The area of statistics is one in which teachers may be encouraged to make important links to other curriculum areas and social issues. Statistical literacy is a key component of being numerate and living as an informed citizen. The teaching of statistics provides an opportunity to inform and educate students about social issues and moral…

The learning sequence described in this article was developed to provide students with a demonstration of the development of box plots from authentic data as an illustration of the advantages gained from using multiple forms of data representation. The sequence follows an authentic process that starts with a problem to which data representations…