The number of complaints university lecturers make about a lack of knowledge, especially first-year students' procedural knowledge, has increased recently. Due to missing adequate empirical evidence, a survey of procedural knowledge among students of Austrian high schools in their final year was conducted. For this purpose, test items for…

While scholars have proposed incorporating the study of complex phenomena such as chaotic systems in high school and undergraduate-level curricula, the literature on this topic is scant and has focused mostly on the analysis of mathematical models--and often only on certain populations, such as gifted students. We report in this manuscript an…

Productive struggle is an effective mathematics teaching practice that provides students opportunities to grapple with challenging mathematical concepts, connect prior knowledge, discover new ideas, and develop their critical thinking skills. Research has documented the benefits of secondary mathematics students engaging in productive struggle.…

This study employs the Experiential Learning Theory framework to investigate students' use of a wildfire simulation. We analyzed log files automatically generated by middle and high school students (n = 1515) as they used a wildfire simulation and answered associated prompts in three simulation-based tasks. We first analyzed students' log files to…

In this study, we investigated how secondary students interpret algebraic expressions that contain literal symbols to stand for variables. We hypothesized that the natural number bias (i.e., the tendency to over-rely on knowledge and experiences based on natural numbers) would affect students to think that the literal symbols stand for natural…

The variational thinking of high school students based on mathematical connections was analyzed through a laboratory on linear functions. This qualitative research based on design was developed in three phases: diagnostic test, implementation of the mathematics laboratory and final test, with students from a public institution in Barranquilla,…

Assessing scientific modeling competence (SMC) is challenging because of the multi-dimensionality of the construct and the potential variability of student performance across tasks. To deal with the challenges, this study applied Kane's validity framework to assess high-school students' SMC in Newtonian mechanics and examined how students'…

Purpose: Cognitive load theory focuses on providing appropriate cognitive engagement to facilitate knowledge learning. The purpose of this study was to determine the contributions of cognitive load on high school students' in-class physical activity. Method: A stratified random sample of high school students (N = 150) who participated in a large…

Statistics teaching at the high school level needs modernizing to include digital sources of data that students interact with every day. Algorithmic modeling approaches are recommended, as they can support the teaching of data science and computational thinking. Research is needed about the design of tasks that support high school statistics…

The Cell Phone modeling task centers on a Fermi real-world estimation question. The task and rubric can be used at different grade levels to focus on the modeling process and classroom community. Finding time and space to engage students, especially novice modelers, in mathematical modeling can be a challenge, yet the benefits of modeling are…

There is a substantial amount of literature focusing on the importance of culturally relevant teaching that emphasizes connecting the school's curriculum with the culture of students. This approach can be accomplished through the concept of ethnomathematics. Ethnomathematics studies how cultural groups practice and use math in daily activities…

Deliberation and inquiry can go hand-in-hand. Inquiry-based learning calls on teachers to facilitate student-led discovery, something that can only happen when students ask questions and weigh possible answers before settling on a plausible and evidentiary answer. Teaching through inquiry is about setting students up to wrestle with the issue at…

Searching for sources of inspiration is central to creative design; however, we have limited knowledge of individual inspiration search strategies in response to varying levels of task constraints. We studied 39 high-school students' inspiration search strategies using Google Images. Low task constrainedness led to "divergent search"…

Background: In scientific inquiry learning, students often have difficulties conducting hypothetical reasoning with multiple intertwined variables. Concept maps have a potential to facilitate complex thinking and reasoning. However, there is little investigation into the content of student-constructed concept maps and its association with inquiry…

In an effort to deepen learning in K-12 science classrooms, there has been a national movement to integrate computational thinking (CT). The purpose of this phenomenographic study was to understand teachers' perceptions of the function and usefulness of a task analysis and a decision tree tool designed to help them with integration. Teachers…