This paper presents findings from a comparative analysis of three similar secondary geometry texts, one critical unit, one standards-based reform unit, and one specialist chapter. I developed the critical unit as I took the tenets of critical mathematics (CM) and substantiated them in printed curricular materials in which to teach as part of a…

This article presents the mathematical approach of the optimal strategy to win the "Release the prisoners" game and the integration of this analysis in a math class. Outline lesson plans at three different levels are given, where simulations are suggested as well as theoretical findings about the probability distribution function and its mean…

In this paper we share our reflections regarding the role of ethnomathematics in providing direction for leadership in mathematics education. Our arguments are grounded in an analysis of the world today, characterized by inequities and injustices, clamoring for a new social order. We contemplate the role of mathematics and mathematics education in…

This article showcases the benefits of the alliance the authors have established during the past two years with the Barnes Foundation to add more mathematics activities to their repertoire and to integrate more art into their mathematics lessons. Recently, they decided to focus on activities at the K-grade 2 level that could be used as an on-site…

Purpose: To advance a framework of indicators that promotes implementation of math standards under the Every Student Succeeds Act (ESSA), we tested a conceptual model of the resources and processes within schools that influence the opportunity to learn mathematics (OTL) in the classroom using a recent administration of the 2011 Trends in…

The papers in the monograph address different topics related to mathematics teaching and learning processes which are of great interest to both students and prospective teachers. Some papers open new research questions, some show examples of good practice and others provide more information about earlier findings. The monograph consists of six…

The study reviewed in this paper examined the effects of "mastery learning" and "student team learning" on the math achievement of high school students. The analysis included 588 ninth-grade students in 16 urban Philadelphia high schools. The study assessed the effectiveness of the different conditions after one year by…

Asian children, including Chinese children, perform better than their English-speaking peers in cross-national mathematics studies. This superior Asian performance is attributed to several factors including cultural beliefs, educational systems and practices, and the Chinese number naming system. Given the limited empirical evidence on pre-school…

The purpose of this article is to explain the authors' model of numeracy and outline how the project was conducted. The idea of numeracy is a relatively recent one. The term was first introduced in the UK by the "Crowther Report" (Ministry of Education, 1959) and was defined as the mirror image of literacy, but involving quantitative…

The relation between fidelity of implementation and student outcomes in a computer-based middle school mathematics curriculum was measured empirically. Participants included 485 students and 23 teachers from 11 public middle schools across seven states. Implementation fidelity was defined using two constructs: fidelity to structure and fidelity to…

Thirteen online mathematics classes were analyzed using a discourse coding system created by Bellack et al. (1966). Findings suggest that the ratio of teacher-to-student discourse is far lower in online than in face-to-face classes and varies widely from instructor to instructor. A strong positive correlation was shown between instructor posts and…

This article presents two approaches to using original sources in a capstone writing project for a History of Mathematics course. One approach involves searching local libraries and is best suited to schools in metropolitan areas. A second approach involves online resources available anywhere. Both projects were used in a course intended for…

The purpose of this article is to present the findings of a quantitative study focused on primary mathematics teachers who participated in an intensive professional development program and then had leadership responsibility for the implementation of a new primary mathematics curriculum in their district. The study examines the effect of the…

This article is theoretically informed by Bernstein's (2000) notion of pedagogic identity, supplemented by Tyler's (1999) elaboration of Bernstein's theory into an analytical framework that describes four possible identity positions relating to classification and framing properties. The article analyses key primary mathematics curriculum policy…

All teachers, especially high school teachers, face the challenge of ensuring that students have opportunities to relate and connect the various representations and notions of mathematics concepts developed over the course of the pre-K-12 mathematics curriculum. NCTM's (2000) Representation Standard emphasizes the importance of students being…