High

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.

Sticky Ions: A Student-Centered Activity Using Magnetic Models to Explore the Dissolving of Ionic Compounds

Understanding what happens at the particulate level when ionic compounds dissolve in water is difficult for many students, yet this understanding is critical in explaining many macroscopic observations. This article describes a student-centered activity designed to help strengthen students’ conceptual understanding of this process at the particulate level and translate this understanding to the symbolic level. In this activity, students use magnetic models to explore how mono- and polyatomic ions interact with water molecules and with each other.

Author/Presenter

Sheila Ryan

Deborah Herrington

Year
2014

Professional Development Aligned with AP Chemistry Curriculum: Promoting Science Practices and Facilitating Enduring Conceptual Understanding

The recent revisions to the advanced placement (AP) chemistry curriculum promote deep conceptual understanding of chemistry content over more rote memorization of facts and algorithmic problem solving. For many teachers, this will mean moving away from traditional worksheets and verification lab activities that they have used to address the vast amounts of content in the AP chemistry course. Moreover, a substantial shift in teachers’ beliefs about teaching and learning of chemistry will be needed to facilitate the transformation of their instructional practices.

Author/Presenter

Deborah Herrington

Ellen Yezierski

Year
2014

Evidence for Effective uses of Dynamic Visualisations in Science Curriculum Materials

Dynamic visualisations capture aspects of scientific phenomena that are difficult to communicate in static materials and benefit from well-designed scaffolds to succeed in classrooms. We review research to clarify the impacts of dynamic visualisations and to identify instructional scaffolds that mediate their success. We use meta-analysis to synthesise 47 independent comparisons between dynamic and static materials and 76 comparisons that test the effect of specific instructional scaffolds.

Author/Presenter

Kevin W. McElhaney

Hsin-Yi Chang

Jennifer L. Chiu

Marcia C. Linn

Year
2014
Short Description

Dynamic visualisations capture aspects of scientific phenomena that are difficult to communicate in static materials and benefit from well-designed scaffolds to succeed in classrooms. We review research to clarify the impacts of dynamic visualisations and to identify instructional scaffolds that mediate their success.

Webinar on the Common Guidelines for Education Research and Development

Author/Presenter

Edith Gummer

Year
2014
Short Description

This webinar, led by Edith Gummer (formerly of NSF), discusses the guidelines outlined in the report co-authored by the Institute of Education Sciences, U.S. Department of Education and the National Science Foundation.

SmartGraphs: Algebra

The Concord Consortium has developed 19 Smartgraphs: Algebra coveractivities for teaching and learning algebra that are available online or as an app for iPad or Android tablet computers. These activities—which cover a variety of algebra topics, from linear equations to transformations of functions—help students develop skills creating and using algebraic functions and graphs to solve problems.

Author/Presenter

The Concord Consortium

Lead Organization(s)
Year
2014
Short Description

The Concord Consortium has developed 19 activities for teaching and learning algebra that are available online or as an app for iPad or Android tablet computers. These activities—which cover a variety of algebra topics, from linear equations to transformations of functions—help students develop skills creating and using algebraic functions and graphs to solve problems. Hints and scaffolds support learners who need help.

2014 DR K-12 Program Webinar Resources

Recordings:

Author/Presenter

David Campbell

Barbara Berns

Year
2014
Short Description

In this 2-webinar series hosted by CADRE, NSF provides an overview of the DR K-12 funding program and reviews this year's DR K-12 solicitation.

STEM Smart Brief: Preparing Students for College and Careers in STEM

Author/Presenter

CADRE

Year
2013
Short Description

"The majority of U.S. students, particularly low-income and minority youth, lacks foundational skills and knowledge in science, technology, engineering, and mathematics." Read the brief to learn more about preparing students for college and careers in STEM.

STEM Smart Brief: CTE Pathways to STEM Occupations

Author/Presenter

CADRE

Year
2014
Short Description

“Workers in STEM fields play a direct role in driving economic growth. Yet, because of how the STEM economy has been defined, policymakers have mainly focused on supporting workers with at least a bachelor’s degree, overlooking a strong potential workforce of those with less than a BA.” Read this brief to explore CTE pathways to STEM occupations.

Opening the Door to Physics Through Formative Assessment

The goal of this study was to develop a high school physics course (Energizing Physics, developed by two Boston physics teachers) with an assessment system that has the potential to enable all students to learn how to learn physics, so they can succeed in their first physics course in college.  Objectives of the research were to: 1) develop and test formative assessment activities that are embedded within the instructional program; 2) Create an assessment framework to enable teachers to monitor each student's progress, and enable students to track their own progress; and 3) Test th

Author/Presenter

Cary Sneider

Brenda Wojnowski

Lead Organization(s)
Year
2013