This paper aimed to investigate secondary school students' representations for solving geometric word problems in different clinical interviewing processes. More specifically, the focus was to understand the changes/developments in students' representations through think-aloud interviews (TAIs) and open-ended prompting interviews (OEPIs). Three…

Reasoning skills have been clearly related to achievement in introductory undergraduate biology, a course with a high failure rate that may contribute to dropout from undergraduate STEM majors. Existing measures are focused on the experimental method, such as generating hypotheses, choosing a research method, how to control variables other than…

Stimulating thinking related to mathematical content is the focus of many tasks in the mathematics classroom. Beyond such content-related thinking, promoting forms of higher order thinking is among the goals of mathematics instruction as well. So-called hybrid tasks focus on combining both goals: they aim at fostering mathematical thinking and…

The main goal of this study was to investigate how readers' visual attention distribution during reading of conflicting science information is related to their scientific reasoning behavior. A total of 25 university students voluntarily participated in the study. They were given conflicting science information about earthquake predictions to read…

The purpose of this paper is to show how important "monitoring" is as metacognitive skills in solving physics problems in the field mechanics. Based on test scores, twenty one students were divided into two groups: more successful (MS) and less successful (LS) problem solvers. Students were allowed to think-aloud while they worked on…

We review and extend existing frameworks on modeling to develop a new framework that describes model-based reasoning in introductory and upper-division physics laboratories. Constructing and using models are core scientific practices that have gained significant attention within K-12 and higher education. Although modeling is a broadly applicable…

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 article is a report on the findings of three case studies that focused on elementary teachers' in-the-moment noticing across a month of instruction. Extending Jacobs and her colleagues' framework (Jacobs, Lamb, and Philipp, 2010), this articles categorizes the mediums (i.e., written accounts, verbal interactions, physical strategies) by which…

One of the facets of geographic literacy is the ability to think in a structured way about geographic relationships. Geospatial technologies offer many opportunities to stimulate students' geographic relational thinking. The question is: How can these opportunities be effectuated? This paper discusses the results of a process-oriented experiment…

Observation of fellow educators conducting demonstration lessons is one avenue for teachers to develop sensitivity to noticing students' reasoning. We examined teachers' noticing of children's learning behaviours in one demonstration lesson of the "Mathematical Reasoning Professional Learning Research Program" (MRPLRP). The observations…

Elementary school students often exhibit a wide variety of different conceptions associated with algebraic thinking that their teachers fail to recognize or understand (Smith, diSessa, & Roschelle, 1994). It is crucial that elementary school teachers possess knowledge of the variety of different student conceptions and also boast abilities to…

This article considers the design process for new formative history assessments. Over the course of 3 years, my colleagues from the Stanford History Education Group and I designed, piloted, and revised dozens of "History Assessments of Thinking" (HATs). As we created HATs, we sought to gather information about their cognitive validity,…

Imagistic reasoning appears to be a critical strategy for learning and problem solving in the sciences, particularly chemistry; however, little is known about how students use imagistic reasoning on genuine assessment tasks in chemistry. The present study employed a think-aloud protocol to explore when and how students use imagistic reasoning for…

This article shares findings of how two third-grade children who have systematically studied history in grades K-3 analyzed historical sources on a topic about which they had no prior knowledge. In think-aloud interviews, the children analyzed written documents on the 1887 Dawes Severalty Act. One of the children, who tested on the third-grade…

Developing a cognitive model of task performance is an important and often overlooked phase in assessment design; failing to establish such a model can threaten the validity of the inferences made from the scores produced by an assessment (e.g., Leighton, 2004). Conducting think aloud interviews (TAIs), where students think aloud while completing…