A group of eighth-graders was presented with a two-day lab exploring graph theory as an enrichment experience. With the school's winter break looming, students were weary of solving linear equations, and this topic was intended to inject some new life into the classroom. In addition to learning about a completely new topic, they would be exposed…

This article provides a detailed review of the Computer-based English Listening Speaking Test (CELST) used in Guangdong, China, as part of the National Matriculation English Test (NMET) to assess students' English proficiency. The CELST measures listening and speaking skills as outlined in the "English Curriculum for Senior Middle…

When a Year 7 student physically reacted to a prompt of another student by anxiously drumming the desk with his ruler, exclaiming "uuuuhh", the initial thought of the observing researcher, Laura, was: "this is an interesting account". This started a reflective journey of first applying robust research methodologies to the…

We present a model for describing the growth of students' understandings when reading a proof. The model is composed of two main paths. One is focused on becoming aware of the deductive structure of the proof, in other words, understanding the proof at a semantic level. Generalization, abstraction, and formalization are the most important…

Despite the call for an argument-based approach to validity over 25 years ago, few examples exist in the published literature. One possible explanation for this outcome is that the complexity of the argument-based approach makes implementation difficult. To counter this claim, we propose that the Assessment Triangle can serve as the overarching…

Within a multi-tier system of support (MTSS), results from universal screeners help teachers make instructional decisions early in the learning process to prevent and remediate skill gaps. Universal screeners help teachers determine students' need for and intensity of additional instructional support to reach their learning goals by efficiently…

This executive summary highlights findings from the full report (published separately) which analyzes construct and predictive validity of a Social and Emotional Learning (SEL) Competency Survey. Students' SEL skill ratings were correlated with other measures of SEL skills and other outcomes of interest. A separate research brief also was…

Reasoning and problem solving are both critical acts in mathematics learning. The author has met many teachers who tell her they would love to highlight them more but feel they cannot because of the pressures of content coverage, pacing guides, and district tests. In this article, she describes a teaching intervention that highlighted problem…

This report examined three potential indicators of college enrollment school and district staff might use to identify and support students at risk of not attending college: (1) Chicago: Designed to predict high school graduation; based on earning six course credits--the minimum to advance to the next grade in HISD--and having at most one semester…

Inquiry-based instruction is a student-centered approach to teaching that focuses on active learning (Barron and Darling-Hammond 2008) in which students engage with "tasks that promote reasoning and problem solving" (NCTM 2014). Specifically, such tasks encourage a variety of solution strategies and stimulate use of the NCTM Process…

In Winter 2021-2022, the Nebraska Student-Centered Assessment System (NSCAS) assessments are administered in ELA and mathematics in Grades 3-8. In Spring 2021-2022, the NSCAS assessments are administered in English language arts (ELA) and mathematics in Grades 3-8 and in science in Grades 5 and 8. The purposes of the NSCAS assessments are to…

Justification is a critical mathematical practice that must play a role in teaching and learning at all grade levels. Having students share their reasoning and explain how they know something is true or correct is the process of justification. The authors (a team of teachers and researchers) worked together for two years with an NSF-funded project…

In Fall and Winter 2022-2023, the NSCAS assessments were administered in ELA and mathematics for grades 3-8. In Spring 2022-2023, the NSCAS assessments were administered in English language arts (ELA) and mathematics for grades 3-8 and in science for grades 5 and 8. The purposes of the NSCAS assessments are to measure and report Nebraska students'…

In this article, we highlight the need for a precisely defined construct in score-based validation and discuss the contribution of cognitive theories to accurately and comprehensively defining the construct. We propose a framework for integrating cognitively based theoretical and empirical evidence to specify and evaluate the construct. We apply…

Modeling using mathematics and making inferences about mathematical situations are becoming more prevalent in most fields of study. Descriptive statistics cannot be used to generalize about a population or make predictions of what can occur. Instead, inference must be used. Simulation and sampling are essential in building a foundation for…