Fifth-grade students applied quantitative reasoning in exploring the flow times of three simulated lavas of different viscosities down the slope of a hand-made volcano. After modeling the lava flow times for 6 km down the volcano slope, students used their quantitative models to predict the evacuation times for villagers living 10 km down.…

Mathematically gifted students have a potential for understanding and connecting mathematics concept. Pattern generalization as a part of functional thinking becomes one of the benchmarks for gifted students in mathematics. The mathematics curriculum in Indonesia that has not accommodated the functional thinking ability of elementary school…

Academic self-concept (ASC) is a student's self-perceived level of ability in an academic domain and a major factor involved in academic performance. We examined the importance of internal/external sources of evaluation for the structure of L2 and L3 ASCs in two groups of 5th/6th graders learning English and French in Switzerland (mean age: 12.1).…

Individual differences (IDs) play an important role in the second language learning process and explain the varied experiences of the L2 learner. The two major IDs, language aptitude and motivation, can be primary factors in one's ultimate proficiency. While language aptitude is largely fixed, motivation is malleable and can aid in overcoming…

Mental computation and mathematical reasoning are two intertwined top-level mental activities. In deciding which strategy to use when doing mental computing, mathematical reasoning is essential. From this reciprocal influence, the current study aims at examining the relationship between mental computation and mathematical reasoning. The study was…

The purpose of this study was to examine the effect of an information and communications technology (ICT)-based individualised music education programme on primary students' musical competence. A 2 × 3 aptitude treatment interaction factorial design was used to assess the impact of the programme as a function of students' musical aptitude (MA)…

In this paper we consider how mathematics instruction that values, attends to, and builds on students' mathematical ideas is realized through discourse. We describe interactions that build on students' thinking and in which students help to determine the direction of mathematics lessons as responsive. Using a framework we developed to characterize…

Research findings have established that students often struggle with mathematical symbols including common misconceptions for literal symbolic representations of variables but provide little evidence of when or how these misconceptions arise. This article reports findings from a study of grade 4-6 students' conception(s) for various…

The purpose of this study is to determine how Finnish pupils' problem-solving skills develop from the 3rd to 5th grade. As research data, we use one non-standard problem from pre- and post-test material from a three-year follow-up study, in the area of Helsinki, Finland. The problems in both tests consisted of four questions related to each other.…

Through a review of the literature on mathematical learning disabilities (MLD) and low achievement in mathematics (LA) we have proposed a model classifying mathematical skills involved in learning mathematics into four domains (Core number, Memory, Reasoning, and Visual-spatial). In this paper we present a new experimental computer-based battery…

Peace to learn refers to a peaceful state that makes meaningful and productive learning possible--in other words, the conditions that allow or hinder pupils to work peacefully in the classroom. How pupils perceive theirown position in the classroom is related to their perception of peace to learn. In this research, the purpose was to draw a…

In this paper we report on the process, outcomes, and impact of a weekly homework assignment for which students write about the mathematics they do in their everyday lives. Data from 17 fifth-grade students suggest that after doing the assignment for a full school year, students clearly communicated their beliefs about the assignment having…

This dissertation tests a dynamic assessment-based cognitive hierarchy model and attempts to identify mathematical concepts that predict student learning potential on more advanced mathematical concepts using the units from ST Math, a self-paced curriculum, for third, fourth, and fifth grade students. The quantitative analyses compared a…

Authors examined the relationship between individual differences in L1 print exposure and differences in early L1 skills and later L2 aptitude, L2 proficiency, and L2 classroom achievement. Participants were administered measures of L1 word decoding, spelling, phonemic awareness, reading comprehension, receptive vocabulary, and listening…

Each year, the Houston Independent School District (HISD) offers a summer education program designed to assist students with a variety of instructional needs. The 2015 summer education program allowed students the opportunity to repeat required courses needed for promotion, to get ahead by taking required courses before the next school year, or to…