This study investigates how students in England and Shanghai understand linear function. Understanding is defined theoretically in terms of five hierarchical levels: Dependent Relationship; Connecting Representations; Property Noticing; Object Analysis; and Inventising. A pilot study instrument presented a set of problems to both cohorts, showing…

Numerical estimation has been used to study how children mentally represent numbers for many years (e.g., Siegler & Opfer, 2003). However, these studies have always presented children with positive numbers and positive number lines. Children's mental representation of negative numbers has never been addressed. The present study tested children…

This study shows how separate and combined contextual and conceptual problem rewording can positively influence student performance in solving mathematical word problems. Participants included 80 seventh-grade Iranian students randomly assigned in groups of 20 to three experimental groups involving three types of rewording and a control group. All…

This study and discussion center upon the use of "YouTube's" automatic captioning feature with college-age adult readers. The study required 75 participants with college experience to view brief middle school science videos with automatic captioning on "YouTube" and answer comprehension questions based on material presented…

The present study has two aims. Firstly, it aims to determine eighth grade students' conceptual understanding of floating and sinking through formative assessment probes. Secondly, it aims to determine whether or not there is a significant difference between students' performance in formative assessment probes and their achievement in the…

The present study has two aims. Firstly, it aims to determine eighth grade students' conceptual understanding of floating and sinking through formative assessment probes. Secondly, it aims to determine whether or not there is a significant difference between students' performance in formative assessment probes and their achievement in the…

Teachers need more clarity about effective teaching practices as they strive to help their low-achieving students understand mathematics. Our study describes the instructional practices used by two teachers who, by value-added metrics, would be considered "highly effective teachers" in classrooms with a majority of students who were…

Students beyond the primary grades who struggle with reading lack basic word attack ability and are thus unable to read new words with accuracy. However, there has been little research that reveals the specific word attack errors students exhibit. In this study, 123 struggling adolescent readers receiving special education services were given the…

Thus far, it is unclear how students can learn most effectively from their own errors. In this study, reflections on the rationale behind self-made errors are assumed to enhance knowledge acquisition. In a field experiment with pre/post/follow-up design, the authors practiced fractions with 174 seventh- and eighth-grade students who were randomly…

Middle school algebra students (N = 125) randomly assigned within classroom to a Problem-solving control group, a Correct worked examples control group, or an Incorrect worked examples group, completed an experimental classroom study to assess the differential effects of incorrect examples versus the two control groups on students' algebra…

This study examined the Spanish and English spelling patterns of bilingual adolescents, including the cross-linguistic effects of each language, by applying a fine-grained measure to the differences in spelling in naturalistic writing. Spelling errors were taken from narrative and expository writing samples provided by 20 Spanish-English bilingual…

Learning algebra is difficult for many students in part because of an emphasis on the memorization of abstract rules. Algebraic reasoners across expertise levels often rely on perceptual-motor strategies to make these rules meaningful and memorable. However, in many cases, rules are provided as patterns to be memorized verbally, with little overt…

The goal of this study was to determine potential causes for the reading and spelling discrepancies of 26 middle school students. All were proficient in reading, but non-proficient in spelling, a pattern typical in students with Specific Spelling Disability (SSD). The focus of the study was on linguistic knowledge while encoding and decoding, plus…

Results from the National Assessment of Educational Progress (NAEP) and other large scale tests are often reported as rank ordered lists showing mean values for each of the 50 states. Using data from the 2003 State NAEP Assessment, this paper examines the standard errors associated with State NAEP scores and explains why the use of rank order…

The 7th International Conference on Education Data Mining held on July 4th-7th, 2014, at the Institute of Education, London, UK is the leading international forum for high-quality research that mines large data sets in order to answer educational research questions that shed light on the learning process. These data sets may come from the traces…