This participatory action research (PAR) study describes the Flagway program at New England College (NEC). The purpose of the study is to share the historical origins of the Flagway program, discuss how Flagway is being implemented with college students at NEC, and describe initial effects of the program on middle school students who score in the…

Multiplicative thinking is a "big idea" of mathematics that underpins much of the mathematics learned beyond the early primary school years. This article reports on a recent study that utilised an interview tool and a written quiz to gather data about children's multiplicative thinking. Our research has so far revealed that many primary…

There is considerable variety in inquiry-oriented instruction, but what is common is that students assume roles in mathematical activity that in a traditional, lecture-based class are either assumed by the teacher (or text) or are not visible at all in traditional math classrooms. This paper is a case study of the teaching of an inquiry-based…

In this paper, we discuss active learning in College Algebra at Georgia Gwinnett College. This approach has been used in more than 20 sections of College Algebra taught by the authors in the past four semesters. Students work in small, structured groups on guided inquiry activities after watching 15-20 minutes of videos before class. We discuss a…

Early experiences with theoretical thinking and generalization in measurement are hypothesized to develop constructs we name here as logical reasoning and preparedness for algebra. Based on work of V. V. Davydov (1975), the Measure Up (MU) elementary grades experimental mathematics curriculum uses quantities of area, length, volume, and mass to…

This research was a quantitative study using 4th grade participants from a Title 1 elementary school in Central Illinois. This study set out to determine whether one to one technology (1:1 will be used hereafter) truly impacts and effects the academic achievement of students. This study's second goal was to determine whether 1:1 Technology also…

Children in the elementary grades are expected to solve equations to demonstrate prealgebraic proficiency. Prealgebraic differences may emerge based equation type (i.e., standard vs. nonstandard), the operation shown or required for solution (i.e., addition or subtraction), and the position of the unknown. Prealgebraic differences may also be…

Ninety-six first grade students in an urban school system were tested in October and May on reading, mathematics, and their understanding of sequences of letters and numbers. A time lag analysis was subsequently conducted. In such analyses, cross-correlations between the first measurement of one variable and the second measurement of another are…

This study examined indicators of cheating on a statewide summative assessment for grades 3--8 over a 4-year period. Between year 2 and year 3 of this study, the state launched an aggressive, highly publicized investigation into cheating by educators. The basis of the investigation was an erasure analysis. The current study found that the number…

A first application of multilevel latent class analysis (MLCA) to educational large-scale assessment data is demonstrated. This statistical technique addresses several of the challenges that assessment data offers. Importantly, MLCA allows modeling of the often ignored teacher effects and of the joint influence of teacher and student variables.…

Assessment can be powerful when teachers are able to analyse, interpret and use information in ways that enhance their teaching and programmes, and students' learning. A qualitative approach was used to investigate how teachers of Years 4-8 students analyse, interpret and use information gained from administration of the Progressive Achievement…

In this study, we developed a three-dimensional framework to characterize post-secondary Calculus I final exams. Our "Exam Characterization Framework" (ECF) classifies individual exam items according to the cognitive demand required to answer the item, the representation of both the task statement and the solution, and the item's format.…

This study, undertaken at the request of the Nevada Department of Education, examined the stability over years of teacher-level growth scores from the Student Growth Percentile (SGP) model, which many states and districts have selected as a measure of effectiveness in their teacher evaluation systems. The authors conducted a generalizability study…

Northwest Evaluation Association™ (NWEA™) is committed to providing partners with useful tools to help make inferences from Measures of Academic Progress® (MAP®) interim assessment scores. One important tool is the concordance table between MAP and state summative assessments. Concordance tables have been used for decades to relate scores on…

The purpose of this causal-comparative study is to investigate the influence of an individualized computer-based program on student academic growth in mathematics over one school year. One hundred and eighty eight kindergarten students in a suburban setting participated in the Northwest Evaluation Association (NWEA) Measures of Academic (MAP)…