Mistakes are a window into students' mathematical understanding. Taking the time to analyze mistakes can inform you of where students are in their thinking. They can also guide you with respect to how to proceed with instruction. Introduced here are two categories of mistakes: meaty mistakes and minor mistakes. Meaty mistakes demonstrate gaps in…

Over the years, we have noticed our students constructing proofs that commutativity is preserved by isomorphism that do not explicitly use the fact that the isomorphism is surjective. These proofs are typically valid otherwise. However, such proofs are invalid because they would prove the false claim that commutativity is preserved by any…

In this practice paper I examine the evaluation of one project and ask whether or not the evaluation failed. I suggest that because I was unaware of the larger connections between the grant agency and the grantee I made tactical errors in the presentation of findings, which resulted in not simply disagreement but anger and resentment. I conclude…

This study offers a comprehensive investigation of 14-15-year-old students' comprehension of non-Euclidean geometries, with a specific focus on the assessment of their understanding through a 15-itemed test. The primary objective of this research is to assess the current state of students' knowledge and proficiency in non-Euclidean geometries and…

This study aimed to reveal the differences in individuals' abilities, their standard errors, and the psychometric properties of the test according to the two methods of applying the test (electronic and paper). The descriptive approach was used to achieve the study's objectives. The study sample consisted of 74 male and female students at the…

Identifying students' errors in solving cases of critical thinking skills from two variables of linear equation (TVLE). This was a qualitative study using a descriptive exploratory approach. The participants of the study were first-year students of mathematics education. The method used in this research is a test, interview, and triangulation. The…

The constrained action hypothesis states that focusing attention on action outcomes rather than body movement improves motor performance. Dexterity of motor control is key to successful music performance, making this a highly relevant topic to music education. We investigated effects of focus of attention (FOA) on motor skill performance and EMG…

Structural priming studies in production have demonstrated stronger priming effects for unexpected sentence structures (inverse preference effect). This is consistent with error-based implicit learning accounts that assume learning depends on prediction error. Such prediction error can be verb-specific, leading to strong priming when a verb that…

Students need more independent roles to evaluate their learning performance, especially in the absence of teachers' feedback due to some constraints such as technology and poor experience. This study investigates the potential of online self-evaluation on students' writing skills in English as a foreign language (EFL). It examines the preparatory…

Spelling is a significant parameter in establishing text quality. This study aims to describe the developmental path of spelling errors in expository texts, argumentative and descriptive--written by Hebrew speaking children from second through fifth grades. Bearing in mind different genre requirements, we aimed to determine whether genre type…

An important component of many Adaptive Instructional Systems (AIS) is a 'Learner Model' intended to track student learning and predict future performance. Predictions from learner models are frequently used in combination with mastery criterion decision rules to make pedagogical decisions. Important aspects of learner models, such as learning…

Automated scoring of student language is a complex task that requires systems to emulate complex and multi-faceted human evaluation criteria. Summary scoring brings an additional layer of complexity to automated scoring because it involves two texts of differing lengths that must be compared. In this study, we present our approach to automate…

This research focused on the common errors that EFL learners included in their writing. The frequent errors that the study focused on were at the micro level, specifically the structures that related to gerund and infinitive forms. The participants were selected from the English language department at one of the Saudi universities. They were…

The aim of this study is to investigate the effect of positive error climate in classrooms on middle school students' error orientations and attitudes towards mathematics. The data of the research were collected in the 2021-2022 academic year. The participants of the study consisted of 44 students in two 6th grade classes in a middle school in the…

This research was undertaken with the aim of evaluating, classifying, and detecting mistakes made by Tunisian students learning Turkish as a foreign language at the A1 level. The study is descriptive and was performed using document and content analysis methods. Forty Tunisian university students participating in the study were asked to write…