Adaptive teachers use student data to guide instruction. Learn about using an anecdotal record form to support adaptive teaching. In this article, the authors describe how teachers can use learning trajectories to make adaptive decisions to meet the needs of their students. They provide an example using the U .S. Math Recovery Council's learning…

Recent research suggests the benefits of supporting a progressive understanding of concepts of inference prior to the teaching of procedures and formal calculations through the study of informal statistical inference (ISI). To contribute to the growing knowledge about the early learning and teaching of statistics, particularly regarding the…

There is little empirical research related to how elementary students develop computational thinking (CT) and how they apply CT in problem-solving. To address this gap in knowledge, this study made use of learning trajectories (LTs; hypothesized learning goals, progressions, and activities) in CT concept areas such as sequence, repetition,…

Understanding math and the ability to use math in various situations can greatly contribute to a successful life. Different math skills are of importance for understanding and supporting math ability. In addition, math interest may influence math ability. We investigated the relationship between math conceptual and procedural skills, their…

In order to investigate the influence of separation of grade distributions and ratio of common items on the precision of vertical scaling, this simulation study chooses common item design and first grade as base grade. There are four grades with 1,000 students each to take part in a test which has 100 items. Monte Carlo simulation method is used…

We examined student reading achievement in rural and non-rural school districts in Texas. Our research questions probed the improvement in student performance over time, differences in the number of students achieving at different performance levels, and the impact of district-level characteristics on reading achievement. Through quantitative…

Developmental delays in cognitive flexibility early in elementary school can potentially increase vulnerability for subsequent externalizing and internalizing psychopathology. The first goal of the current study was to identify latent subgroups of children characterized by different developmental trajectories of cognitive flexibility throughout…

This study explores a spatial reasoning learning trajectory of a student with difficulty in mathematics. Using a teaching experiment methodology across 15 instructional sessions, we observed how the student responded to instruction based on an established 2D shape composition learning trajectory (Sarama & Clements, 2009). A narrative…

In this report, we perform an analysis of kindergarten readiness in Illinois and relate it to students' third grade academic achievement. We study two cohorts of Illinois kindergarteners and follow them into third grade using data provided by the Illinois State Board of Education (ISBE). We summarize our key findings below: (1) Disparities appear…

This paper will demonstrate how we used state-level longitudinal data to model reading growth trajectories. Using data from large scale assessments that were vertically linked across grades in Hawaii, we utilized a multilevel regression framework to develop growth models to study students' reading performance trajectories during their elementary…

We examined the developmental trajectories and cognitive predictors of first language Chinese reading, second language English reading, and mathematics skills in Hong Kong children in Grades 1-5. We used longitudinal data of 1,000 children (M[subscript age] = 7.59 years) assessed on phonological awareness, rapid naming, and morphological awareness…

There is a wide gap between what research evidence identifies as effective reading intervention and what is currently offered in schools. This effectiveness study reports the results of a long-term research/school system partnership that is implementing reading intervention for children with reading difficulties in Canadian community schools. In…

Purpose: A growing trend in instructional improvement efforts is the use of formative assessment informed by research-based developmental trajectories of how students gain deeper understanding of subject matter content over time. This article reports the findings of a large-scale experimental study of an innovative mathematics professional…

The focus of this special edition is students' literacy development over the school years. Drawing on data that includes classroom interactions, analyses of texts, and interviews with students, this edition builds on the seminal treatment of the question of literacy transitions provided in Christie and Derewianka (2008). This paper aims to…