Considering the importance of mathematics in modern society, it is crucial to understand the cognitive processes involved in the acquisition of complex mathematical competency. As a new generation of evaluation theory, cognitive diagnosis has its unique advantages in personalized evaluation. Based on the mathematical cognitive framework of Trends…

The purpose of this study is to share the design, implementation, and evaluation processes regarding an activity implemented for improving the vocabulary of 4th grade students, and to determine the opinions of the students about the activity. The activity serves to the purpose of learning the new words and phrases meaningfully through active…

Century Analytics, Inc. conducted a rigorous evaluation of Edmentum's Exact Path to estimate the impact of Exact Path use on student achievement in reading in kindergarten through Grade 3. Exact Path is an online educational tool designed to support individualized student instruction. This study's quasi-experimental design (QED), analyses, and…

This report describes the use of a Learning Progression Framework (LPF) to support the Student Learning Objectives (SLO) process. The report highlights a few common threats we currently see in the SLO process implemented at various states and districts, and offers the LPF as a possible solution for addressing these threats. This report was…

The main purpose of this research study was to fill gaps in existing research on the comparative forms and qualities of learning that emerge from formal professional development and from more self-directed teacher teams. This research study also described the extent to which both align to recommendations for professional learning and the extent…

Century Analytics, Inc. conducted a rigorous evaluation of Edmentum's Exact Path to estimate the impact of Exact Path use on student achievement in mathematics in kindergarten through Grade 8. Exact Path is an online educational tool designed to support individualized student instruction. This study's quasi-experimental design (QED), analyses, and…

In this paper, we describe our learning progressions approach to early algebra research that involves the coordination of a curricular framework, an instructional sequence, written assessments, and levels of sophistication describing the development of students' thinking. We focus in particular on what we have learning through this approach about…

The Progress in Reading Literacy Study (PIRLS) was developed to help improve the teaching of reading and the acquisition of reading skills around the world, and was approved by the IEA (International Association for the Evaluation of Educational Achievement) General Assembly as an essential component of the IEA's regular cycle of core studies,…

Conventional testing systems usually give students a score as their test result, but do not show them how to improve their learning performance. Researchers have indicated that students would benefit more if individual learning guidance could be provided. However, most of the existing learning diagnosis models ignore the fact that one concept…

Part of the new Knowledge Essentials series, "Fourth Grade Success" shows parents how to enrich their children's classroom learning and take an active role in their fourth graders' education by exploring: (1) What fourth graders are learning at school and the educational standards to expect in math, language arts, science, and social studies; (2)…