Algebraic competence is a major determinant of college access and career prospects, and equal sign knowledge is taken to be foundational to algebra knowledge. However, few studies have documented a causal effect of early equal sign knowledge on later algebra skill. This study assessed whether second-grade students' equal sign knowledge…

The issue that this study addressed is the evaluation of the impact of Imagine Math© upon the closure of learning gaps of English Learners and students of diverse racial backgrounds in mathematics and Algebra. Specifically, the intent of the research was to determine the impact of the adaptive learning program, Imagine Math©, upon student…

Competence in fractions is important in achieving advanced mathematics such as algebra and calculus. To foster students' understanding of fractions, intervention studies have found number lines to be an effective representational tool. Yet, it is unclear whether or not number lines are equally effective regardless of the ways in which they are…

This study sought to answer the following questions: (1) Is it feasible to develop Academic Key Performance Indicators (KPIs) and collect data on them across member urban school districts? (2) Are comparisons between districts on academic performance measures valid and reliable? (3) Do districts collect and maintain requested KPI data in a way…

Elementary standards include multiplication of single-digit numbers and students advance to solve complex problems and demonstrate procedural fluency in algorithms. The ability to illustrate procedural fluency in algorithms is dependent on the development of understanding and reasoning in multiplication. Development of multiplicative reasoning…

In 2017 Georgia instituted a flexibility policy through which school districts enter into performance contracts with the state that grant districts waivers from state rules and allow schools and districts greater autonomy. In exchange, schools and districts must meet academic performance targets. The performance contracts are intended to…

In 2007 Georgia instituted a flexibility policy through which school districts enter into performance contracts with the state, receiving waivers from state rules, provisions, and guidelines in exchange for agreeing to meet annual accountability targets. The performance contracts are intended to incentivize innovations that increase achievement…

These are the appendixes for the report, "District Changes in Student Achievement and Local Practice under Georgia's District and School Flexibility Policy." Five appendixes are included in the document: (1) About the study; (2) Data and methods; (3) Supporting analysis; (4) Survey instrument; and (5) Interview protocol. [For the full…