This paper describes the difficulties faced by a group of middle school students (13- to 15-year-olds) attempting to translate algebraic statements written in verbal language into symbolic language and vice versa. The data used were drawn from their replies to a written quiz and semi-structured interviews. In the former, students were confronted…

Constructing formal geometry proofs in is an important topic in the mathematics curriculum. But students' difficulties with proof are well documented. This article focuses on proofs that use triangle congruence postulates in US high school geometry. Examining students' proof reasoning in one-on-one task-based interviews, we analyzed students' oral…

Studies of errors in mathematics are essential for mathematics educators to design and contextualize a whole new instruction accordingly. Nonetheless, less attention has been given to the mathematical writing errors when compared to the mathematical conceptual and procedural errors. It is mainly because the former mistakes usually do not affect…

This study presents the results of a cross-sectional reading and spelling assessment conducted among 118 Spanish children in 3rd, 4th and 5th grade. The first aim was to explore whether children's use of orthographic knowledge was modulated by lexical variables--word frequency and orthographic neighborhood--or sublexical…

The ability to express oneself through written language is a critically important skill for long-term educational, emotional, and social success. However, despite the importance of writing, English Learner students continue to perform at or below basic levels which warrants additional efforts to identify specific areas of weakness that impact…

This study aimed to describe 1-year changes in students' vocabulary in written narratives. Secondary aims included examination of accuracy and the relationship between lexical diversity and achievement. Participants included 749 students in first through eighth grades. Within-subjects 1-year change in diversity, productivity, and accuracy was…

Based on third language acquisition theories (Flynn, Foley, & Vinnitskaya, 2004; Marx & Hufeisen, 2004; Rothman, 2010, 2015) and cross-linguistic influence (Sharwood Smith & Kellerman, 1986), this study explored the written production errors of L3 English acquisition of word order in the affirmative and interrogative structures by L1…

To investigate the relationship between Chinese children's character and word reading, 62 third and 50 fifth grade children in Hong Kong were asked to read single characters and words that were comprised of these characters. Results showed that words helped children to recognize characters for both grades of children. Compared to older children,…