Physics teachers need diagnostic competence to effectively identify students' misconceptions, but studies have yet to sufficiently investigate how this competence can be advanced through various instructional strategies. In this study, we compared a problem-solving strategy against an example-based strategy in advancing diagnostic competence in…

This study examined the extent to which college algebra instructors employ pedagogical practices previously found to assist students master difficult STEM content material and address their own previous math deficits. Faculty classroom behaviors were assessed with a modified version of the Generalized Observation and Reflection Platform (GORP).…

The present study explored 285 11th-grade students' preconceptions, misconceptions, and errors in solving mathematics tasks by graphical method. A descriptive-explorative study design was adopted. Cluster sampling was used to select students from sampled secondary schools in eastern and central Uganda. Students' paper and pen solution sketches…

The current study examined the effectiveness of self-explanation prompts, visual signaling cues, and a combination of the two features on middle school students' (N = 202) algebra learning. Also explored were the differential effects of features for students with faulty conceptual knowledge (evidenced by a higher prevalence of making errors during…

Confusion is an important epistemic emotion because it can help students focus their attention and effort when solving complex learning tasks. However, unresolved confusion can be detrimental because it may result in students' disengagement. This is especially concerning in simulation environments using discovery-based learning, which puts more of…

In this study, I examine how using a writers' workshop model in mathematics creates a space for students to write about their mathematical thinking and problem solving and how their writing impacts instruction. This case study of one classroom with one teacher spanned 6 weeks and included 18 implementations of an adapted version of the Writers'…

Adults are prone to treating percents, one representational format of rational numbers, as novel cases of natural number. This suggests that percent values are not differentiated from natural numbers; a conceptual shift from the natural numbers to the rational numbers has not yet occurred. This is most surprising, considering people are inundated…

This document presents a review of evidence commissioned by the Education Endowment Foundation to inform the guidance document "Improving Mathematics in Key Stages Two and Three" (Education Endowment Foundation, 2017). The review draws on a substantial parallel study by the same research team, funded by the Nuffield Foundation, which…

Students are frequently presented with novel visualizations introducing scientific concepts and processes normally unobservable to the naked eye. Despite being unfamiliar, students are expected to understand and employ the visualizations to solve problems. Domain experts exhibit more competency than novices when using complex visualizations, but…

In this study, the effects of reflective self-explanations on conceptual understanding and problem solving are investigated in a domain of computer programming. After completing a multiple-choice test, 33 students were asked to reflect on and explain why their answers were correct or incorrect. Groups were divided for post hoc analysis based on…

Too often, teachers scratch their heads and ask, "What were my students thinking?" then answer, "I don't want to know." But teachers should want to know, and students should question their own thinking, as well. Critical thinking involves not just problem solving, creativity, analysis, and synthesis but also self-awareness of learning and learning…

To build on prior knowledge and mathematical understanding, middle school students need to be given the opportunity to make connections among a variety of representations. Graphs, tables, algebraic formulas, and models are just a few examples of representations that can help students explore quantitative relationships. As a mathematics educator,…

Investigates reasoning strategies students use in solving stoichiometric problems and explores the relation between these strategies and alternative conceptions, prior knowledge, and cognitive variables. Results show how stoichiometric relations produce conflicting situations for students leading to conceptual misunderstanding of certain concepts.…

Presents strategies for encouraging dialog with students from eliciting preconceptions to bringing closure to a unit. Includes the general structure of an instructional unit that employs dialog, strategies for teachers to use, and strategies for students which include active listening. (DDR)

The effects of students' misconceptions, declarative knowledge, and stimulus conditions on students' solutions to a problem in basic electricity were studied for 80 undergraduates at Iowa State University (Ames). The implications of the findings of influence by knowledge and stimulus conditions are discussed. (SLD)