Both accurate monitoring and adequate control are crucial for effective self-regulation when learning from problem-solving tasks. Prior research has shown that self-regulated learning is especially harmful for low prior knowledge students, given their difficulties with accurate monitoring and control decisions. Although many studies have indicated…

With the inclusion of engineering disciplinary core ideas (DCIs), the Next Generation Science Standards (NGSS) position engineering as a new priority in K-12 science classrooms. This paper reports findings from the implementation of SLIDER, a problem-based learning 8th grade physical science curriculum that integrates engineering and physical…

Making connections among multiple visual representations is key to students' learning. This article considers two learning processes involved in connection making: explicit sense making of connections and implicit perceptual induction of connections. Instructional interventions support these processes via different problem types: sense-making…

This case study investigates the variety of constructivist approaches to teaching evident in classroom practice. Teaching practices associated with constructivist perspectives have been prevalent in curriculum reforms for some time. Meanwhile, constructivist approaches have been critically discussed in scholarly literature, revealing problematic…

Prior research shows that self-explanation promotes understanding by helping learners connect new knowledge with prior knowledge. However, despite ample evidence supporting the effectiveness of self-explanation, an instructional design challenge emerges in how best to scaffold self-explanation. In particular, it is an open challenge to design…

When presented with a problem in mathematics class, students often function as problem performers rather than problem solvers (Rigelman 2007). That is, rather than understanding the problem, students focus on using an operation to complete it. Students' tendencies to act as problem performers can prevent them from suggesting problem-solving…

Psychologists and mathematics educators have long viewed flexibility as critical to students' mathematical development. In this paper, we focused on the multidimensional nature of flexibility to better understand how preference, knowledge, and use of effective methods for solving algebra problems are related. In Study 1, we identified…

This chapter focuses on the interaction of two first graders as they attempt to make sense of a particular instructional context for learning negative numbers. The context is one where they move an elevator to a building's floors above and below ground in order to model integer addition and subtraction problems. In particular, the focus of the…

Learning analytic models are built upon traces students leave in technology-enhanced learning platforms as the digital footprints of their learning processes. Learning analytics uses these traces of learning engagement to predict performance and provide learning feedback to students and teachers when these predictions signal the risk of failing a…

This study aimed to explore and analyse the perceptions, attitudes, and practices of secondary school students toward research writing and reporting in science. Fifty-three Grade Eight students from a private school in the Philippines were purposively chosen to serve as respondents in this research. Data collection was done in two ways: (1)…

Comparison is a fundamental cognitive process that can support learning in a variety of domains, including mathematics. The current paper aims to summarize empirical findings that support recommendations on using comparison of multiple strategies in mathematics classrooms. We report the results of our classroom-based research on using comparison…

Why are math modeling problems the source of such frustration for students and teachers? The conceptual understanding that students have when engaging with a math modeling problem varies greatly. They need opportunities to make their own assumptions and design the mathematics to fit these assumptions (CCSSI 2010). Making these assumptions is part…

In our study, 32 German and Swiss 8th/9th-grade classes of lower-secondary school worked with their teacher on the same proving problem. The sample belongs to the Swiss-German study "Quality of Instruction, Learning Behavior and Mathematical Understanding". Our data analyses relate to the teachers' approaches to generating a specific…

Several studies related to mathematical proof have been done by many researchers on high-level materials, but not yet examined on the material of transformation geometry. The aim of this research is identification learning obstacles pre-service teachers on transformation geometry. This study is qualitative research; data were collected from…

This exploratory study uses the convergent design of mixed methods to integrate adaptive expertise theory to study how individual student participant from graphic design or non-graphic-design majors to solve a novel ideation problem in graphic design. Adaptive expertise includes six dimensions: metacognition, flexibility, dynamic knowledge,…