Sequence of contextual information refers to the order of descriptions involved in the context component of items, such as sequence of events, sequence of intention and action, and sequence of effect and cause. To build on prior findings on how different sequences of contextual information could influence student test scores, we used eye tracking…

Students often struggle to interpret graphs correctly, despite emphasis on graphic literacy in U.S. education standards documents. The purpose of this study was to describe challenges sixth graders with varying levels of science and mathematics achievement encounter when transitioning from interpreting graphs having discrete independent variables…

This article presents how one 8th-grader, Mallory, made meaning with "Amulet: The Stonekeeper's Curse" by Kazu Kibuishi. Data was collected via a think-aloud procedure, a retrospective think-aloud, questions specific to the book, and an interview. The data analysis indicates that Mallory was able to use a breadth of reading strategies,…

Instruction promoting reasoning and proof should be a part of K-12 mathematics teaching. Preservice teachers (PSTs) need mathematics content instruction that helps them construct valid justifications for mathematical notions and develop positive perceptions of proof. This case study describes instruction with proof-related tasks and manipulatives…

The purpose of this case study was to describe how one band director used pedagogical content knowledge while working with beginning-band students to help them develop the skill of playing brass lip slurs. Data were generated from (1) video recordings of each class over two different weeks during the school year, (2) "think aloud"…

The purpose of this case study was to understand how students use reading strategies to help them comprehend informational text. Eighteen adolescent, developing readers who participated in a Reading Edge intervention at a suburban junior high school in the northeastern part of Pennsylvania answered interview questions, and 14 students met the…

This study focuses on the development of the understanding of historical time of pupils in primary school. We present a developmental model with three stages: "emergent," "initial" and "continued" understanding of historical time. Based on this model, we constructed an instrument to measure how pupils aged 6-12…

In this study, we considered how middle school teachers understood the relationship between fractions and ratios. We used two instruments to collect data from 11 teachers and relied on Knowledge in Pieces as a lens for considering understandings teachers have and how coherent those understandings are. From our analysis, we developed three main…

Problem solving is not simply a process that ends when an answer is found; it is a scientific process that evolves from understanding the problem to evaluating the solution. This process is affected by several factors. Among these, one of the most substantial is belief. The purpose of this study was to evaluate the beliefs of high school students…

Two studies were conducted to examine and compare the construct validity of scores on the Junior Metacognition Awareness Inventory (JMAI) and problem-solving interview protocols. Participants consisted of 183 middle and high school students attending a university summer program for academically talented youth. Study 1 results indicated that JMAI…

In this paper, we discuss pre-service mathematics teachers' professional gains from a university-school collaboration where they were given opportunity to observe two teacher educators' instructional practices in a 6th grade classroom, interact with students in one-to-one fashion and reflect on the teacher educators' and their own practices. Three…

This study discusses the construction of deductive warrant derived from inductive warrant in mathematical argumentations expressed by pre-service teacher. In completing a mathematics task, a problem solver needs argumentation to determine, reveal, and support a reasonable solution. A mathematical argumentation can be analyzed by Toulmin scheme…

In this paper, we discuss the process of identifying and validating students' abilities to think proportionally. More specifically, we describe the methodology we used to identify these proportional reasoning attributes, beginning with the selection and review of relevant literature on proportional reasoning. We then continue with the…

This study examined how 12- and 13-year-old students' mathematics and science background knowledge affected line graph interpretations and how interpretations were affected by graph question levels. A purposive sample of 14 students engaged in think aloud interviews while completing an excerpted Test of Graphing in Science. Data were…

This study investigated the effects of the use of scaffolds in written classroom assessments through the voices of both native English speakers and English language learners from two middle schools. Students responded to assessment tasks in writing, by speaking aloud using think aloud protocols, and by reflecting in a post-assessment interview.…