Mathematics

Uncovering and Eliciting Mathematical Perceptions in Linguistically Diverse Classrooms

Sorto, M. A., Mejia Colindres, C. A., & Wilson, A. T. (2014). Uncovering and Eliciting Mathematical Perceptions in Linguistically Diverse Classrooms. Mathematics Teaching in the Middle School, 20(2), 72–77.

Author/Presenter

M. Alejandra Sorto

Carlos A. Mejía Colindres

Aaron T. Wilson

Lead Organization(s)
Year
2014
Short Description

One of the many challenges that teachers face in mathematics classrooms is determining how much of the verbal and written explanations help students accomplish instructional goals. The challenge is greater in linguistically diverse classrooms because the explanations and multiple representations are not perceived uniformly by all students.

Young Children's Mathematics: Whose Home Practices Are Privileged?

In this essay, the authors share a professional dialogue about the ways in which issues of power emerge in preschool classrooms when teachers endeavor to build on childrens home and school mathematical experiences and understanding. From different perspectives, as early childhood and mathematics education researchers, the authors discuss ways in which data from teacher interviews and discussions collected during a professional development program provide evidence of whose knowledge is privileged.

Author/Presenter

Anita A. Wager

Kristin Whyte

Year
2013

Swimming Upstream in a Torrent of Assessment

Growing attention to preK mathematics and increased focus on standards in the US may be leading policy makers, administrators, and practitioners down the wrong path when it comes to assessing young children. The temptation to rely on standardised assessment practices may result in misguided understandings about what children actually know about mathematics.

Author/Presenter

Anita A. Wager

M. Elizabeth Graue

Kelly Harrigan

Year
2015

Exploring Opportunities for STEM Teacher Leadership: Summary of a Convocation

Many national initiatives in K-12 science, technology, engineering, and mathematics (STEM) education have emphasized the connections between teachers and improved student learning. Much of the discussion surrounding these initiatives has focused on the preparation, professional development, evaluation, compensation, and career advancement of teachers. Yet one critical set of voices has been largely missing from this discussion - that of classroom teachers themselves.

Author/Presenter

National Research Council

Year
2014

Exploring iconic interpretation and mathematics teacher development through clinical simulations

Field placements serve as the traditional ‘clinical’ experience for prospective mathematics teachers to immerse themselves in the mathematical challenges of students. This article reports data from a different type of learning experience, that of a clinical simulation with a standardized individual. We begin with a brief background on medical education’s long-standing use of standardized patients, and the recent diffusion of clinical simulations to teacher and school leader preparation contexts.

Author/Presenter

Benjamin Dotger

Joanna Masingila

Mary Bearkland

Sharon Dotger

Lead Organization(s)
Year
2014

Succeeding with Inquiry in Science and Math Classrooms

Thinking critically. Communicating effectively. Collaborating productively. Students need to develop proficiencies while mastering the practices, concepts, and ideas associated with mathematics and science. Successful students must be able to work with large data sets, design experiments, and apply what they’re learning to solve real-world problems. Research shows that inquiry-based instruction boosts students’ critical thinking skills and promotes the kind of creative problem solving that turns the classroom into an energized learning environment.

Author/Presenter

Jeff C. Marshall

Lead Organization(s)
Year
2013

Illuminating Coordinate Geometry with Algebraic Symmetry

A symmetric polynomial is a polynomial in one or more variables in which swapping any pair of variables leaves the polynomial unchanged. For example, f(x, y, z) = xy +xz + yz is a symmetric polynomial.

Author/Presenter

Ryota Matsuura

Sarah Sword

Year
2015
Short Description

A symmetric polynomial is a polynomial in one or more variables in which swapping any pair of variables leaves the polynomial unchanged. For example, f(x, y, z) = xy +xz + yz is a symmetric polynomial. If we interchange the variables x and y, we obtain yx + yz + xz, which is the same as f(x, y, z); likewise, swapping x and z (or y and z) returns the original polynomial. These polynomials arise in many areas of mathematics, including Galois theory and combinatorics, but they are rarely taught in a high school curriculum. In this article, we describe an application of symmetric polynomials to a familiar problem in coordinate geometry, thus introducing this powerful tool in a context that is accessible to high school students.

Illuminating Coordinate Geometry with Algebraic Symmetry

A symmetric polynomial is a polynomial in one or more variables in which swapping any pair of variables leaves the polynomial unchanged. For example, f(x, y, z) = xy +xz + yz is a symmetric polynomial.

Author/Presenter

Ryota Matsuura

Sarah Sword

Year
2015
Short Description

A symmetric polynomial is a polynomial in one or more variables in which swapping any pair of variables leaves the polynomial unchanged. For example, f(x, y, z) = xy +xz + yz is a symmetric polynomial. If we interchange the variables x and y, we obtain yx + yz + xz, which is the same as f(x, y, z); likewise, swapping x and z (or y and z) returns the original polynomial. These polynomials arise in many areas of mathematics, including Galois theory and combinatorics, but they are rarely taught in a high school curriculum. In this article, we describe an application of symmetric polynomials to a familiar problem in coordinate geometry, thus introducing this powerful tool in a context that is accessible to high school students.