Mathematics teachers frequently provide concrete manipulatives to students during instruction; however, the rationale for using certain manipulatives in conjunction with concepts may not be explored. This article focuses on area models that are currently used in classrooms to provide concrete examples of integer and binomial multiplication. The…

This paper explores the viability and development of the first edition of the researcher's mathematical card game, Groups, as a learning tool for elementary group theory, a topic in abstract algebra. "Groups" was play-tested by six undergraduate students in late 2016 who provided feedback on "Groups" from both utility-centric…

A majority of college students exhibit feelings of fear and discomfort when put into situations that require the use of mathematics. These students are characterized to be mathematics-anxious and tend to overlook the idea that one can gain many benefits from learning the subject. This paper investigates the various factors that have led to and…

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 article compares the views of teachers and professors about the transition from secondary mathematics to tertiary calculus. Quantitative analysis revealed five categories where teachers and professors differed significantly in the relative frequency of addressing them. Using the rite of passage theory, the separation and incorporation phases…

International rankings show children in the United States perform well below average in mathematics. There are also large mathematics achievement gaps between children of lower- and higher-socioeconomic status. As today's teachers face these challenges, they are also faced with the pressures of sweeping educational reforms that arrived with the…

Research is needed to understand the impact of high-stakes testing on teachers' practices and consequently on their students, particularly at schools that serve large numbers of low-income students and students of color. In this research study, we examined how a state's annual high-stakes test and administrative mandates influenced the assessment…

Teaching for social justice is a critical pedagogy used to empower students to be social agents in the world they live. This critical pedagogy has extended to mathematics education. Over the last decade, mathematics education researchers have conceptualized what it means to teach mathematics for social justice, but little is known about preservice…

Instruction promoting reasoning and proof should be a part of K-12 mathematics teaching. Preservice teachers (PSTs) need mathematics content instruction that helps them construct valid justifications for mathematical notions and develop positive perceptions of proof. This case study describes instruction with proof-related tasks and manipulatives…

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 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…

This paper analyzes the thought process involved in problem solving and its categorization as creative thinking as defined by psychologist R. Weisberg (2006). Additionally, the notion of insight, sometimes present in unconscious creative thinking and often leading to creative ideas, is discussed in the context of geometry problem solving. In…

This study incorporated the use of writing-to-learn strategy, particularly journal writing, in Grade 10 mathematics lessons. Although part of a study conducted to investigate the effects of journal writing on academically lower-achieving learners with English as their second language, this paper will focus only on the students' perceptions of…

Experts think in patterns and structures using the specific "language" of their domains. For mathematicians, these patterns and structures are represented by numbers, symbols and their relationships (Stokes, 2014a). To determine whether elementary students in the United States could learn to think in mathematical patterns to solve…

This article focuses on the mathematical value of teaching angles through the use of sundials in the classroom. The history of sundials and the mathematics embedded within them is discussed in detail. In addition, practical applications of angles are included, along with interactive practice telling time with the angles created on sundials. Time…