A design experiment where students in Grade 5 (11-12 years old) play the Color Run game constitutes the context for investigating how students can be introduced to informal hypothesis testing. The result outlines a three-step hypothetical learning trajectory on informal hypothesis testing. In the first step, students came to favor sample space…

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…

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…

The field of STEM education calls for a nuanced understanding of participation as participation measured by attendance provides limited information about student learning. This multiple case study contributes to a nuanced understanding of youth's participation trajectories in a multimodal composition project. In the project, fifth to eighth grade…

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…

One challenge facing the fields of mathematics education and special education is how to design instruction on fraction concepts that can meet the needs of diverse learners. An innovation that shows promise is to base instructional design upon well-established trajectories of students' fraction learning. However, little research has been done to…

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…

Historically, reforms designed to transform teaching from rote, teacher-centered instruction to progressive student-centered instruction have had varied levels of success. Plentiful research juxtaposes teachers' enacted instruction with the instructional ideals of reform efforts to determine the extent to which teachers' instruction aligns with…