This qualitative case study, grounded within the interpretive paradigm, analyzed the errors and misconceptions made by 11th-grade learners when tackling the tangent-chord theorem task in Euclidean geometry. Studying Euclidean geometry helps learners develop critical thinking skills, such as constructing arguments and applying logical reasoning.…

This study was guided by the question, how do we understand the multiplicative reasoning of upper high school students and use that to give insight to their performance on a standardized test? After administering a partial ACT assessment to a class of high school students, we identified students to make comparisons between low and high scoring…

If using different instruments obtained a different analogical reasoning component. With use people-piece analogies, verbal analogies, and geometric analogies, have analogical reasoning component consists of encoding, inferring, mapping, and application. Meanwhile, with use analogical problems (algebra, source problem and target problem is equal),…

This study explored students' mathematics-related beliefs and the relationship between the beliefs and their strategies for solving non-routine mathematical problems. The study was guided by Daskalogianni and Simpson's 2001 belief systems categories and strategies for non-routine mathematical problems. The participants were 625 grade 11 students…

An inequality concept has an important role; even in advanced mathematics, inequality assists in analysis and proof. However, students' understanding of inequality is not satisfying. The fact shows that students experience difficulties and errors in solving inequality problems. These difficulties and errors are not intentional or do not result…

In this paper, we present a novel approach to defining, teaching, and assessing creativity by examining its origins and delineating the processes involved. The rationale for introducing this framework developed from studying existing thinking and questioning the current metrics for measuring creativity, which we posit are unfit for purpose. We…

In a global economy, stakeholders need to keep themselves well-informed in terms of how their local schools perform when compared with schools across the country and around the world. In doing so, they will be able to consider how well their schools are doing in a larger context and identify strengths as well as areas to target for improvement.…

How well are Wake County Public Schools (WCPSS) students prepared for problem-solving, scientific reasoning, and critical thinking? (1) WCPSS schools out-performed both the U.S., national, and international averages in each core subject of the Program for International Student Assessment (PISA): mathematics, reading, and science; and (2) overall,…

This report is the second in a series considering career-readiness features within high school assessments. Experts in English language arts and math were trained to rate a selection of active Grade 8 and Grade 11 Smarter Balanced items using feature set lists that were refined within the items' respective content areas (30 features for ELA items;…

When confronted with a challenging problem, many solvers may at first think that not enough information has been provided. If, however, they suspect that the problem is solvable, this feeling typically influences them to persevere as well as monitor and reflect on their efforts. In this article the authors present four nonroutine tasks that they…

Making decisions about the production and use of chemical substances is of central importance in many fields. In this study, a research team comprising teachers and educational researchers collaborated in collecting and analyzing cognitive interviews with students from 8th grade through first-year university general chemistry in an effort to map…

A qualitative case study was conducted to investigate the understanding of the limiting reagent concept and the strategies used by five Year 11 students when solving four reaction stoichiometry problems. Students' written problem-solving strategies were studied using the think-aloud protocol during problem-solving, and retrospective verbalisations…

The purposes of this study were: to compare students' performance on conceptual and algorithmic chemistry problems; to investigate the relationships between learning orientation, formal reasoning, and mental capacity and students' performance on conceptual and algorithmic problems; and to investigate interactions among learning orientation, formal…