This case study inspected mathematical learning opportunities that employed the results from the participating preservice teachers' (n=75) original visual arts creation process. Data obtained during this study provided empirical evidence for the educational viability of employing original Mondrian-style rectangle sets as a context for generating…

The results of this study revealed students' solution strategies progressed from inefficient strategies e.g., counting on fingers to more efficient strategies with mathematical connections. These findings should enable educators to gain more insight to use Number Talks to help student develop computational fluency with numbers.

This classroom study immersed high school geometry students in the creative and intellectually challenging design task of developing unique logos using mathematics and technology. The students applied and deepened their knowledge of transformations while using dynamic geometry software. One of the main aims of the task was to elevate student…

Mathematics problems are shared rapidly across all social media platforms, and the relative anonymity granted to users can lead to unfiltered discourse. This study examined 1,046 comments from a mathematics problem posted twice to YouTube in February 2016 to determine the underlying narratives that indicate the commenters' mathematical mindsets…

When teaching through problem solving, effective mathematics teachers need to lead discussions that assist students in making connections between different solution strategies. However, while teaching a methods course for preservice teachers (PSTs), we noticed that after solving a problem and presenting various solution strategies, many PSTs…

This paper describes an after-school club aimed to engage elementary students in project-based learning by integrating mathematics and literacy connections within a community-based topic. Building on students' backgrounds and interests, researchers created the Community Super Investigators (CSI) Club as part of an after-school program to explore…

I qualitatively reviewed mathematics education literature to offer explicit classroom-based examples and recommendations on the learning opportunities that can be embedded into mathematics content courses, designed specifically for prospective elementary teachers (ePTs), to help develop their knowledge of students and their mathematical thinking,…

In this paper we examine deficit perspectives that prospective elementary school teachers (PTs) noticed their mentor teachers held with regards to classifying students by their achievement or behavior. Using a sociopolitical framework, we explored the following research question: What labels and forms of labeling of students have elementary school…

This paper analyzes how a teacher of mathematics used problem posing in the assessment of the cognitive development of 26 students at the grade-four level. The students, ages 8 to 10 years, were from a rural elementary school in western Jamaica. Using a picture as a prompt, students were asked to generate three arithmetic problems and to offer…

For the past three years, the Program in Mathematics and Education at Teachers College, Columbia University, has, in coordination with its colloquium series, held a Columbus Day Symposium. Each year, the all day event has been focused on a particular theme in mathematics education, and has brought in various speakers and leaders in the field to…

This meta-ethnography explores qualitative studies around the Cognitively Guided Instruction (CGI) framework of mathematics and illustrates how CGI epitomizes differentiation. The meta-ethnographic process is used to synthesize CGI as differentiation, specifically within the elementary mathematics classroom. Thomas P. Carpenter is credited as one…

Real world mathematical modeling activities can develop needed and valuable 21st century skills. The knowledge and skills to become adept at mathematical modeling need to develop over time and students in the elementary grades should have experiences with mathematical modeling. For this to occur elementary teachers need to have positive…

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 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 "Common Core State Standards for Mathematics" presents challenges and opportunities to contribute to a common understanding of the mathematical proficiencies expected of our students. This paper discusses the movement to establish multi-state assessment consortia in the United States based in the standards movement set in motion by…