This article examines several important moments in the history of mathematics education history to provide another lens through which to view modern mathematics education in the United States. At the turn of the twentieth century, mathematics education in the United States had been the subject of educational concern for more than a century.…

"Algebra-as-gatekeeper" is a powerful paradigm that structures students' experiences within mathematics class, as well as their future educational trajectories. In this paper, I show how modeling--when conceived as a culturally relevant practice--can support students to make sense of the key ideas of algebra as well as develop positive…

We present in this paper a pair of approaches to support mathematics educators and learners in formulating original tasks. In particular, we facilitate the posing of rich mathematical problems by using two novel methods that were created by a mathematics department at a K-12 school in the United States, and further developed alongside our students…

This article uses Culturally Relevant Pedagogy (CRP) and Culturally Responsive Teaching (CRT) as the theoretical frameworks and qualitative metasynthesis as the methodological framework to synthesize qualitative research published between 1994 and February of 2016. Initial searches produced 1,224 articles, but through a process of appraisals, 12…

Doctoral programs in mathematics education were established more than a century ago in the United States. From 2010-2014 over 120 different institutions graduated at least one doctorate in mathematics education. There has been limited research reported on the nature of doctoral programs in mathematics education and/or their doctoral graduates.…

Mathematics anxiety is recognized as a significant performance impediment that affects students across multiple ethnic and economic backgrounds. However, research has yet to fully examine the possible differential effect of mathematics anxiety on underrepresented K-12 students. Specifically, given the long-standing achievement gap between African…

The dictionary definition of constraint is one-sided, solely restrictive. The problem-solving definition is two-sided. Constraints come in pairs. One retains its restrictive function, precluding something specific; the other directs search for its substitute. The paired constraint model is applied to both domain and classroom. I discuss the…

With the implementation of the National Council of Teachers of Mathematics recommendations and the adoption of the Common Core State Standards for Mathematics, modeling has moved to the forefront of K-12 education. Modeling activities not only reinforce purposeful problem-solving skills, they also connect the mathematics students learn in school…

Leaders in mathematics are responsible for implementing positive change within their school districts and motivating teachers of mathematics to improve their practices. One way mathematics leaders can achieve this goal is by establishing professional collaborations. We analyzed the research and summarized the common attributes found in successful…

What would be one of the most sensible ways for a country to invest to achieve maximal economic growth? A recent study (Chetty, Friedman, & Rockoff, 2011) by economists at Harvard and Columbia Universities shows that better teacher quality results in significantly higher students' lifetime earnings. And investing in public school teachers…

This article makes two simple observations about high-stakes assessments. The first is that, because mathematics is a very technical subject, an assessment item can be mathematically flawed regardless of how elementary it is. For this reason, every assessment project needs the active participation of high level mathematicians. A second point is…

The purpose of this article is to present the findings of a qualitative metasynthesis focused on Black learners negotiating their mathematics experiences in multiple settings (in school and out-of-school) and reflecting on experiences that contributed towards their mathematics identities over time. Five findings emerged from this qualitative…

The Finnish National Board of Education has been publishing guidelines for the evaluation of student learning in the comprehensive school since the 1970s. This evaluation is two-fold: 1) during school it guides and supports students along their academic paths and 2) at the conclusion of the comprehensive school it expresses each student's level of…

In conjunction with the adoption and subsequent implementation of the "Common Core State Standards for Mathematics" (CCSSM), state-led consortia are developing next-generation assessments aligned to the CCSSM. This paper discusses the progress and plans of two main coalitions of states--the Partnership for Assessment of Readiness for…

The U.S. school mathematics curriculum changed slowly during the last century, and only in the past few decades have there been serious efforts to establish it nationally rather than having it be, at least in principle, locally determined. Waves of change have periodically swept the curricular ocean, but on the seabed, in the classrooms where…