Research on student thinking facilitates the design of instructional materials that build on student ideas. The pieces framework views student knowledge as consisting of independent pieces that students assemble in fluctuating ways based on the context at hand. This perspective affords important insights about the reasons students think the way…

Word problems are frequently used in school mathematics to offer students the opportunity to explore mathematical relationships and structure. However, previous studies have reported that word problems are misused or abused in ways that overlook the original intent of exploring mathematical structure and relationship. This study aims to share a…

Semantic is associated with the relationship between symbol, reference, and the problem's context involved in the problem-solving process which also involves reasoning and decision-making. Hence, this study describes the characteristics of students' semantic reasoning to solve the double discounts problem. 51 high school students in Sidoarjo…

This study aims to describe the cognitive process of autism spectrum disorder (ASD) students in solving mathematical problems in order to provide recommendations towards ensuring an appropriate learning process. It was conducted qualitatively using three ASD students in senior high school in Indonesia with high, moderate, and low intelligence. The…

The current study investigates Talk Aloud Problem Solving (TAPS) for master's level students at Endicott College in preparation for the Behavior Analysis Certification Board (BACB) exam. The exam format of multiple-choice questions was used as the basis for acquisition and utilization of a TAPS skill repertoire. The purpose was to add to the…

Think-aloud interviews have been a valuable but underused tool in statistics education research. Think-alouds, in which students narrate their reasoning in real time while solving problems, differ in important ways from other types of cognitive interviews and related education research methods. Beyond the uses already found in the statistics…

A primary goal of science and engineering (S&E) education is to produce good problem solvers, but how to best teach and measure the quality of problem solving remains unclear. The process is complex, multifaceted, and not fully characterized. Here, we present a detailed characterization of the S&E problem-solving process as a set of…

A worked-out or an open inventing problem with contrasting cases can prepare learners for learning from subsequent instruction differently regarding motivation and cognition. In addition, such activities potentially initiate different learning processes during the subsequent ("future") learning phase. In this experiment (N = 45…

Background: Both learning and problem solving are major goals of complex problem solving in engineering education. The order of knowledge construction and problem solving in learning through problem solving, however, has not been explained in current literature. Objectives: To understand their relationships, this study compared the effects of…

The aim of this study was to explain junior high school students' metacognition with Field Independent (FI) and Field Dependent (FD) cognitive styles in mathematics problem solving. The statistical population of this study was all junior high school students in the Sragen regency in the 2018/2019 academic year. Purposive sampling was used to pick…

Researchers in physics education have advocated both for including modeling in science classrooms as well as promoting student engagement with sensemaking. These two processes facilitate the generation of new knowledge by connecting to one's existing ideas. Despite being two distinct processes, modeling is often described as sensemaking of the…

Epistemic beliefs, epistemic cognitions, and self-regulation processes have a significant role in students' learning. Through this study, I investigated the role of mechanical engineering students' epistemic beliefs and epistemic cognitions involved in self-regulation processes while working on tasks with different difficulty levels. In this…

Despite problem solving being a core skill in chemistry, students often struggle to solve chemistry problems. This difficulty may arise from students trying to solve problems through memorising algorithms. Goldilocks Help serves as a problem-solving scaffold that supports students through structured problem solving and its elements, such as…

In this article, we present a qualitative study examining students' thoughts and strategies while transferring concepts about energy in physics. We include theoretical approaches of existing transfer research and findings from think-aloud interviews with 20 students of different ages and school levels to develop a framework for analysing the…

We describe a formative assessment approach called whole-class think alouds, which foster evidence-based instructional practices and promote the goal of assessment to promote learning. They allow students to collaborate and orally communicate their problem solving.