Barlow et al. (2018) discussed three types of mistakes worthy of inspection: procedural errors, inappropriate solution processes, and misconceptions. Here, the authors focus on procedural errors, as these often led the teachers in their professional development project to limit their inspection of mistakes to correcting. Despite this narrow focus,…

The aim of this research is to determine the students' misconceptions of using concept cartoons and to evaluate the lessons taught with concept cartoons according to the students' opinions. The model of the research is the case study, which is one of the qualitative research methods. Participants are a total of 82 students, attending the 3rd grade…

Problem-solving is an essential part of teaching, learning, and assessment of physics and mathematics. The continuing educational reforms have a deep impact on everyday teaching as well as working with talented students. In the Macedonian educational system, the curricula do not explicitly point out the connection between mathematics and physics,…

Background: Providing students with worked out problem solutions is a beneficial instructional technique in STEM disciplines, and studying examples that have been worked out incorrectly may be especially helpful for reducing misconceptions in students with low prior content knowledge. However, past results are inconclusive and the effects of…

In the present study, researchers used problem-posing instruction to examine elementary students' understanding of multiplication. Students in fourth and fifth grade classrooms (n = 24) from a rural school district participated in a semester-long study. The focus of this study was examining student solutions to two specific lessons with problems…

The goal of parkour is to cross various obstacles in an efficient and creative way by jumping, swinging, climbing, and running. Parkour aligns with the SHAPE America national standards for K-12 physical education and has demonstrated its potential to highly engage both boys and girls in moderate-to-vigorous physical activity (MVPA). In this…

This study examines the impact of the College, Career, and Community Writers Program (C3WP) on upper-elementary students' first draft writing quality, addressing the challenges teachers face in providing timely and effective feedback on extensive student writing, particularly in spelling, grammar, mechanics, and cohesion. The hypothesis posits…

Students' issues dealing with reflection tasks, especially with inclined mirror lines, are widely known. Previous research conducted with primary school students mainly focussed on task difficulty and students' outcomes, especially their errors of reflection. Little is known about which not obviously sustainable understanding of reflection leads…

This study analyses the potential of a learning analytics (LA) based formative assessment to construct personalised teaching sequences in Mathematics for 5th-grade primary school students. A total of 127 students from Spanish public schools participated in the study. The quasi-experimental study was conducted over the course of six sessions, in…

There is a growing awareness that many children are not developing fast and accurate retrieval-based strategies for solving single-digit addition problems. In this study we individually assessed 166 third and fourth grade children to identify a group of children (called accurate-min-counters) who frequently solved simple single-digit addition…

Purpose: Children make spelling errors despite classroom instruction on phoneme-grapheme connections and spelling rules. We examined whether additional practice helps to decrease the number of spelling errors for a morphological spelling rule. We distinguished explicit practice in applying a spelling rule from implicit exposure to correct word…

Empirical evidence supports the view that explicit teaching can make a positive difference to learning; however, further research is needed to understand the impact on learning to spell if spelling error analysis is used to inform explicit spelling instruction. This paper presents findings of an intervention study involving 572 students in Years 3…

Whole number computations are a critical skill that serves as a foundation upon which higher-order concepts in mathematics are taught to children. To facilitate their instruction, educators often use multiple representations to support a child's cognition. Representations with physical manipulatives are widely studied through a graduated…

The present research investigated the possibility to foster positive classroom climate, achievement emotions, and adaptive beliefs about errors by manipulating teachers' error handling strategies. Through a pre-post experimental design, teachers' error handling strategies were manipulated during a fictitious lesson in the primary school context.…

Children need support in the early elementary grades to construct a deep, formal understanding of foundational prealgebraic concepts. In this article, the authors share recommendations for teaching one such foundational concept--mathematical equivalence. First, they define mathematical equivalence and discuss research supporting the benefits of…