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Reys, Robert – Journal of Mathematics Education at Teachers College, 2018

Over several hundred different institutions in the USA have graduated people identifying a doctorate in mathematics education. Some institutions graduate people every year, other institutions graduate one person every 3-5 years. Some institutions have one faculty member, others have more than ten. There is no agreed upon common core of knowledge…

Descriptors: Doctoral Programs, Mathematics Education, Accreditation (Institutions), Educational Quality

Kosko Karl W.; Singh, Rashmi – Journal of Mathematics Education at Teachers College, 2018

Multiplicative reasoning is a key concept in elementary school mathematics. Item statistics reported by the National Assessment of Educational Progress (NAEP) assessment provide the best current indicator for how well elementary students across the U.S. understand this, and other concepts. However, beyond expert reviews and statistical analysis,…

Descriptors: Elementary School Students, Grade 4, Numeracy, Mathematics Tests

McGuffey, William – Journal of Mathematics Education at Teachers College, 2017

In this article I explore some of the underlying mathematics of Poke´mon battles and describe ways that teachers at the secondary level could explore concepts of mathematical game theory in this context. I discuss various ways of representing and analyzing a Poke´mon battle using game theory and conclude with an example of applying concepts of…

Descriptors: Video Games, Mathematics Instruction, Mathematical Models, Game Theory

Walkowiak, Temple A.; Pinter, Holly H.; Berry, Robert Q. – Journal of Mathematics Education at Teachers College, 2017

We present a reconceptualized framework for opportunity to learn (OTL) in school mathematics that builds on previous conceptualizations of OTL and includes features related to both quantity (i.e., time) and quality. Our framework draws on existing literature and on our own observational research of mathematics teaching practices. Through the…

Descriptors: Mathematics Instruction, Vignettes, Models, Knowledge Base for Teaching

Johnson, Jeffrey – Journal of Mathematics Education at Teachers College, 2017

The purpose of this research was to compare two definitions and assessments of Mathematics Pedagogical Content Knowledge (PCK). As part of a larger study, nine current and future teachers took an online version of the Measures of Knowledge for Teaching (MKT)--Mathematics assessment and the Cognitively Activating Instruction in Mathematics…

Descriptors: Comparative Analysis, Definitions, Mathematics Instruction, Pedagogical Content Knowledge

Pratt, Sarah Smitherman; Eddy, Colleen M. – Journal of Mathematics Education at Teachers College, 2017

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…

Descriptors: Mathematics Instruction, Numbers, Multiplication, Algebra

Galarza, Patrick – Journal of Mathematics Education at Teachers College, 2017

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…

Descriptors: Algebra, Educational Games, Group Dynamics, Mathematics Instruction

Quan-Lorey, Stephanie – Journal of Mathematics Education at Teachers College, 2017

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…

Descriptors: Mathematics Anxiety, Undergraduate Students, Questionnaires, Interviews

Garcia-Olp, Michelle; Van Ooyik, Jacklyn; Kitchen, Richard – Journal of Mathematics Education at Teachers College, 2017

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…

Descriptors: Preservice Teachers, Student Attitudes, Elementary School Teachers, Student Teacher Supervisors

Wade, Carol; Sonnert, Gerhard; Sadler, Philip M.; Hazari, Zahra; Watson, Charity – Journal of Mathematics Education at Teachers College, 2016

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…

Descriptors: Comparative Analysis, Mathematics Teachers, Calculus, Secondary School Mathematics

Zosh, Jennifer Mary; Hassinger-Das, Brenna; Toub, Tamara Spiewak; Hirsh-Pasek, Kathy; Golinkof, Roberta – Journal of Mathematics Education at Teachers College, 2016

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…

Descriptors: Play, Common Core State Standards, Mathematics Instruction, Evidence Based Practice

Kitchen, Richard; Ridder, Sarah Anderson; Bolz, Joseph – Journal of Mathematics Education at Teachers College, 2016

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…

Descriptors: High Stakes Tests, Mathematics Teachers, Urban Schools, High Schools

Jong, Cindy; Jackson, Christa – Journal of Mathematics Education at Teachers College, 2016

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…

Descriptors: Mathematics Instruction, Social Justice, Preservice Teachers, Elementary School Teachers

Fostering Justification: A Case Study of Preservice Teachers, Proof-Related Tasks, and Manipulatives

Bostic, Jonathan D. – Journal of Mathematics Education at Teachers College, 2016

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…

Descriptors: Mathematical Logic, Validity, Mathematics Instruction, Case Studies

Howson, Geoffrey – Journal of Mathematics Education at Teachers College, 2016

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…

Descriptors: Mathematics Education, Academically Gifted, Teaching Methods, Acceleration (Education)