The purpose of this study was to explore 42 elementary students' perceptions of their experiences while they were engaging in a class in which the Real Engagement in Active Problem Solving (REAPS) model was used. A qualitative study was conducted to analyze their responses. Individual interviews and artifacts were collected and analyzed. Themes…

Intelligibility problems between native speakers (NSs) and nonnative speakers (NNSs) of English are often attributed to some perceived inadequacy of the NNSs. This emphasis on the NNSs' role in successful communication is highly problematic, given that intelligibility is a negotiated process between speaker and listener. In some cases, NSs have…

In this study, ways in which 9-year old students from one Singapore school solved 1-step and 2-step word problems based on the three semantic structures were examined. The students' work and diagrams provided insights into the range of errors in word problem solving for 1- step and 2-step word problems. In particular, the errors provided some…

The following study investigates the range of strategies individuals develop to infer and interpret cross-sections of three-dimensional objects. We focus on the identification of mental representations and problem-solving processes made by 11 individuals with the goal of building training applications that integrate the strategies developed by the…

In this paper I describe classroom experiences with pre-service secondary mathematics teachers (PSMTs) investigating and extending patterns embedded in the Pythagorean configuration. This geometric figure is a fruitful source of mathematical tasks to help students, including PSMTs, further develop habits of mind such as visualization,…

In order to investigate how teachers' use of textbooks creates different kinds of opportunities for student learning, this study focused on teachers' selection and enactment of problems and tasks from the textbooks and their influence on the cognitive demand placed on students. By drawing on data from three elementary teachers in the USA, two of…

Students' ability to effectively study for an exam, or to manage their time during an exam, is related to their metacognitive capacity. Prior research has demonstrated the effective use of metacognitive strategies during learning and retrieval is related to content expertise. Students also make judgments of their own learning and of problem…

The purpose of this research was to determine how information synthesis skills can be taught effectively, and to discover how the level of synthesis in student writing can be effectively measured. The intervention was an information synthesis lesson that broke down the synthesis process into sequenced tasks. Researchers created a rubric which they…

This paper reports on scaffolding that is situated within a research project that examined the ways mathematical thinking emerged from student-centred inquiry. The project utilised qualitative methods to investigate a case study of a year-10 class (14-15-year-olds), at a new purpose-built secondary school designed to facilitate inquiry learning.…

Research has found that students, particularly those in middle school and high school, believe that their participation in mathematics classrooms includes listening to teachers explaining, working in textbooks, and solving exercise problems quickly (Franke, Kazemi, and Battey 2007). In this article, the authors describe a classroom vignette and…

Studies of mathematics teacher preparation frequently lament the divide between the more theoretically based university methods course and the practically grounded classroom field experience. In many instances, attempts to mediate this gap involve creating hybrid or third spaces, which seek to dissipate the differences in knowledge status as…

Creative posters in the classroom can inspire students to become engaged and motivated in learning art. Within the classroom, there are many places to put posters so that students can read them (especially when they get bored in the classroom) - on the cabinets, near the chalkboard, on the teacher's desk and any spare space on the wall. There is…

Getting students to think deeply about mathematical concepts is not an easy job, which is why we often use problem-solving tasks to engage students in higher-level mathematical thinking. Mathematical modeling, one of the mathematical practices found in the Common Core State Standards for Mathematics (CCSSM), is a type of problem solving that can…

Improving student learning is the primary goal of every teacher of algebra. Teachers seek strategies to help all students learn important algebra content and develop mathematical practices. The new Institute of Education Sciences[IES] practice guide, "Teaching Strategies for Improving Algebra Knowledge in Middle and High School Students"…

Erroneous examples--step-by-step problem solutions with one or more errors for students to find and fix--hold great potential to help students learn. In this study, which is a replication of a prior study (Adams et al. 2014), but with a much larger population (390 vs. 208), middle school students learned about decimals either by working with…