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Deihl, Steve; Markinson, Mara P. – Journal of Mathematics Education at Teachers College, 2019

High school students often ask questions about the nature of infinity. When contemplating what the "largest number" is, or discussing the speed of light, students bring their own ideas about infinity and asymptotes into the conversation. These are popular ideas, but formal ideas about the nature of mathematical sets, or "set…

Descriptors: High School Students, Mathematical Concepts, Algebra, Secondary School Mathematics

Hodge, Angie; Rech, Janice; Matthews, Michael; Johnson, Kelly Gomez; Jakopovic, Paula – Journal of Mathematics Education at Teachers College, 2019

Mentoring is an important aspect of mathematics teacher education, and in particular, pre-service teacher education. Faculty at a large Midwestern university developed and refined a mentoring program designed to help pre-service secondary mathematics teachers, called Scholars, become future leaders in mathematics education. This paper describes…

Descriptors: Mentors, Preservice Teachers, Mathematics Teachers, Partnerships in Education

Johnson, Kelly Gomez; Nebesniak, Amy L.; Rupnow, Theodore J. – Journal of Mathematics Education at Teachers College, 2019

Curriculum change is inevitable in schooling. For content areas such as mathematics that are already under the national spotlight, transitioning to new curriculum materials while concurrently enacting instructional reform creates both a challenge and an opportunity. This paper discusses how partnerships between two state universities and…

Descriptors: School Districts, College School Cooperation, Curriculum Implementation, Educational Change

Gibbons, Alanna – Journal of Mathematics Education at Teachers College, 2019

Maryam Mirzakhani is the first and the only female winner of the Fields Medal since its establishment in 1936. She is arguably one of the greatest mathematicians of our generation. This biographical paper outlines her life and work. Her mathematical theorems and noteworthy accomplishments are just as impressive as her determination, imagination,…

Descriptors: Mathematics, Professional Personnel, Biographies, Females

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

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

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)

Fitz, Margaret – Journal of Mathematics Education at Teachers College, 2016

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…

Descriptors: Mathematical Concepts, Mathematics Instruction, Mathematics Education, Time

Cho, Hoyun; Osborne, Carolyn; Sanders, Tobie – Journal of Mathematics Education at Teachers College, 2015

Elementary Education pre-service teachers are noted for disliking and even fearing mathematics, so a teaching strategy that increases their enjoyment of mathematics learning must be a powerful one, indeed. When the same strategy can also support problem posing and assess mathematical knowledge and reasoning, providing an occasional alternative to…

Descriptors: Cartoons, Preservice Teachers, Preservice Teacher Education, Course Content

Cozzens, Margaret B. – Journal of Mathematics Education at Teachers College, 2015

There is a vital need in the mathematics and science teaching and learning community at the secondary school level for assistance for teachers in adapting curricular materials to meet the many district, state, and national demands and to facilitate high-quality learning of students and their ability to transfer this learning and apply it as they…

Descriptors: Common Core State Standards, Educational Resources, Language Arts, Teaching Guides

McGuffey, William – Journal of Mathematics Education at Teachers College, 2015

This article describes an activity that incorporates measurement in order to lead students to discover and explore fundamental concepts of calculus. Students are provided with an experientially real starting point involving measurement and are encouraged to engage in mathematical discussions in a low-stakes environment. I describe the activity as…

Descriptors: Calculus, Mathematical Concepts, Mathematics Instruction, Mathematics Education

Epperson, James A. Mendoza; Rhoads, Kathryn – Journal of Mathematics Education at Teachers College, 2015

Many mathematics teacher educators encounter the challenge of creating or choosing mathematical tasks that evoke important mathematical insights and connections yet remain firmly grounded in school mathematics. This challenge increases substantially when trying to meet the needs of practicing secondary mathematics teachers pursuing graduate work…

Descriptors: Secondary School Mathematics, Preservice Teachers, Graduate Students, Inservice Teacher Education

Christy, Donna; Sparks, Rebecca – Journal of Mathematics Education at Teachers College, 2015

The authors have experience with secondary mathematics teacher candidates struggling to make connections between the theoretical abstract algebra course they take as college students and the algebra they will be teaching in secondary schools. As a mathematician and a mathematics educator, the authors collaborated to create and implement a…

Descriptors: Preservice Teachers, Secondary School Teachers, Mathematics Teachers, Algebra

Contreras, José – Journal of Mathematics Education at Teachers College, 2015

In this paper I describe classroom experiences with pre-service secondary mathematics teachers (PSMTs) investigating and extending patterns embedded in the Pythagorean configuration. This geometric figure is a fruitful source of mathematical tasks to help students, including PSMTs, further develop habits of mind such as visualization,…

Descriptors: Preservice Teachers, Secondary School Teachers, Mathematics Teachers, Geometric Concepts