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…

We report on an innovative design of algorithmic analysis that supports automatic online assessment of students' exploration of geometry propositions in a dynamic geometry environment. We hypothesized that difficulties with and misuse of terms or logic in conjectures are rooted in the early exploration stages of inquiry. We developed a generic…

As a theory of skill acquisition, the instance theory of automatization posits that, after a period of training, algorithm-based performance is replaced by retrieval-based performance. This theory has been tested using alphabet-arithmetic verification tasks (e.g., is A + 4 = E?), in which the equations are necessarily solved by counting at the…

Background: Pre-service teachers (PSTs) training does not equip students with adequate skills and knowledge of geometry to enable them to teach this section of mathematics competently. Inadequate teacher knowledge of transformation geometry, in particular, requires intervention that targets PSTs' faulty reasoning displayed in errors they make.…

Understanding fractions is critical to mathematical development, yet many children struggle with fractions even after years of instruction. Fraction arithmetic is particularly challenging. The present study employed a computational model of fraction arithmetic learning, FARRA (Fraction Arithmetic Reflects Rules and Associations; Braithwaite, Pyke,…

Contribution: This paper demonstrates positive outcomes from reflection-on-action by engineering students, including meaningful insights on their performance, professional and academic practices, and design knowledge as well as promising preliminary exam results. Background: Literature from the engineering education community underlines the…

Although error avoidance during learning appears to be the rule in American classrooms, laboratory studies suggest that it may be a counterproductive strategy, at least for neurologically typical students. Experimental investigations indicate that errorful learning followed by corrective feedback is beneficial to learning. Interestingly, the…

In group writing, a group works together to compose a well-written text. Web 2.0 has bolstered web-based group writing among linguistic scholars and language teachers. This research examined the impact of web-based group writing on intermediate-level sophomore students majoring in English in colleges in Saudi Arabia. It considered the students'…

The current study investigates the effects of dynamic and non-dynamic oral corrective feedback in response to learners' errors on English as a foreign language (EFL) learners' English wh-question development over three treatment sessions. Sixty-eight EFL learners were assigned randomly to one of two experimental conditions that received either…

Dynamic assessment research, with its roots in Vygotsky's Zone of Proximal Development, is still in its infancy (Lantolf and Poehner, 2004; Poehner, 2008). It came to the attention of scholars to break away from a static, incomplete and unfair form of assessment to the dynamic form of assessment in order to more comprehensively uncover learners'…

This paper critically assesses the scholarship in introductory psychology textbooks in relation to the topic of latent learning. A review of the treatment of latent learning in 48 introductory psychology textbooks published between 1948 and 2004, with 21 of these texts published since 1999, reveals that the scholarship on the topic of latent…

A discussion of the history of error analysis in mathematics education research provides an overview of research published in German and Anglo-American publications since the early 1900s. (MP)

Three studies involved kindergartners in a categorization task with an adult in collaborative and noncollaborative conditions; tested subjects on memory of who had performed which actions; and asked them to recategorize items independently. Results suggested that one process contributing to children's internalization of knowledge may involve…

Children learn arithmetic procedures by rote, rather than by constructing them with an understanding of numbers. Rote learning produces lack of flexibility, nonsensical errors, and other difficulties. Proposed is a theory of conceptual understanding and its role in learning and executing arithmetic procedures. The basic hypothesis is that…

A 40-item free response test on signed-number subtraction was administered to 172 eighth graders. Their responses are viewed as consisting of two different components, the sign and absolute value. Each component is scored zero for wrong or one for correct, yielding a score of one only when both components have scores of one. By taking the values…