Feedback in educational technologies can teach and engage students in math, but questions remain on how to present failure feedback that supports positive learning behaviors. We explore how error- and reward-based feedback influenced students' choices to replay completed problems in "From Here to There!," a math game-based educational…

We examined the influences of pre-solving pause time, algebraic knowledge, mathematics self-efficacy, and mathematics anxiety on middle-schoolers' strategy efficiency in an algebra learning game. We measured strategy efficiency using (a) the number of steps taken to complete a problem; (b) the proportion of problems completed on the initial…

This practitioner action research study explored features of NGSS-based pedagogies to improve secondary education student engagement, critical thinking, and collaborative problem-solving. It examined ways that constructivist pedagogies might encourage students to understand science by putting their skills and knowledge into practice as young…

Supporting students in building well-grounded explanations plays a crucial role in scientific practice. Research in organic chemistry education on students' mechanistic explanations, however, has revealed various challenges. When solving mechanistic tasks, students experience difficulties when (I) deriving implicit properties from structural…

More than 85% of federally funded research initiatives fail to produce significant positive results (Coalition for Evidence-Based Policy, 2013). Moreover, of the less than 15% that do yield positive results, none show replicability outside of their original setting (Pogrow, 2017; Kizilcec et al., 2020). Mixed results are present in even the most…

Purpose: Parent coaching is a complex, psychosocial intervention with multiple core components. Clinicians' use of these core components may be influenced by distinct factors; no research has examined whether clinician perceptions of parent coaching vary across core coaching components. This study aimed to examine the extent to which clinicians…

This article reports on the solutions of a group of 22 students, aged 15/16 years old, when facing a statistical modelling activity. They were given the salary lists of 5 companies and were asked what could be said about their salary structure; no hint was given. The results show that students not only used a wide range of data concepts and…

This paper discusses an interesting, classic problem that provides a nice classroom investigation for dynamic geometry, and which can easily be explained (proved) with transformation geometry. The deductive explanation (proof) provides insight into why it is true, leading to an immediate generalization, thus illustrating the discovery function of…

Physics education research has a tradition of studying problem solving, exploring themes such as physical intuition and differences between expert and novice problem solvers. However, most of this work has focused on traditional, or well-structured, problems, similar to what might appear in a textbook. Less work has been done with open-ended, or…

Non-exact replications are regarded as effective tools of problem solving in psycholinguistic research because they lead to more plausible experimental results; however, they are also ineffective tools of problem solving because they trigger cumulative contradictions among different replications of an experiment. This paper intends to resolve this…

Besides "thinking outside the box," the creativity needed to solve problems often involves thinking differently about the box, finding a new approach or off-beat way to use the materials, conditions, and even constraints that one has. Spencer discusses creative constraint--what happens when a problem solver runs into barriers that make…

Since the introduction of brainstorming as an idea-generation technique to address organizational problems, researchers have struggled to replicate some of the claims around the technique. One major concern has been the differences in the number of ideas generated between established groups as found in industry versus the non-established groups…

Spreadsheets provide a rich setting for first-year algebra students to solve problems. Individual spreadsheet cells play the role of variables, and creating algebraic expressions for a spreadsheet to perform a task allows students to achieve a glimpse of how mathematics is used to program a computer and solve problems. Classic optimization…

STEAM, where the "A" represents arts and humanities, is considered a transdisciplinary learning process that has the potential to increase diverse participation in science, technology, engineering, and math (STEM) fields. However, a well-defined conceptual model that clearly articulates essential components of the STEAM approach is…

Conducting classroom-based research can be difficult, often fraught with challenges, analogous to riding a canoe down the rapids. The dynamics of classroom-based research often require flexibility on the parts of both the researcher and school personnel. Classroom-based research is viewed here through a framework of problem-based methodology as…