This study investigated the possible impact that incorporating daily metacognitive questioning in a mathematics classroom could have on student achievement. The study integrated metacognition into the classroom through the daily use of metacognitive questioning sheets that were answered by students who participated in the research study. The study…

The implementation of the Pennsylvania Algebra 1 Keystone Exam brought many changes to the mathematics classroom for both teachers and students. The purpose of this case study will be to explore how teachers at a charter school respond to testing requirements through adjustments in how and what they teach and to understand and explain the…

In this article we advance characterizations of and supports for elementary students' progress in generalizing and representing functional relationships as part of a comprehensive approach to early algebra. Our learning progressions approach to early algebra research involves the coordination of a curricular framework and progression, an…

Curriculum materials' developers typically assume the existence of certain general social-educational classroom practices and norms. Conversely, the current study addresses the effects of context on curriculum enactment, focusing on the interrelations between teacher, class and curriculum materials. Each of the two case studies presented herein…

We designed and implemented curriculum intended to be used by students in an algebra-based introductory physics laboratory course. Our curricular goal was to foster, through observations in the lab, a coherent framework in students' understanding of general principles presented in the introductory mechanics course, while addressing known student…

Middle school teachers' use of digital curricula incorporating dynamic technology has been found to support student learning of complex algebraic concepts. This article reports on pilot research involving collaboration among faculty from a public university's college of education, educational researchers from a nonprofit research organization, and…

How do you refute the erroneous claim that all ratios are fractions? This book goes beyond a simple introduction to ratios, proportions, and proportional reasoning. It will help broaden and deepen your mathematical understanding of one of the most challenging topics for students--and teachers--to grasp. It will help you engage your students,…

This book describes and illustrates learning paths for the mathematical concepts and skills of each grade 8 Focal Point as presented in Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics. It includes representational supports for teaching and learning that can facilitate understanding, stimulate productive discussions about…

This document presents the proceedings of the Annual Research Forum. Included herein are the following 29 studies: (1) What Factors Influence Algebra 1 Students' Attitudes toward Math? (Elizabeth A. Allen); (2) Low-Income Student and Teacher Impressions of Kagan Cooperative Learning (Andrea Anderson); (3) Developing and Implementing an Articulated…