The paper presents an analysis of elementary grade mathematics teaching in India focusing on mathematical reasoning. Mathematical reasoning is an important tool to make sense of mathematical ideas, which in turn makes mathematics more accessible to learners and promotes social equality. The paper analyzes 112 lessons from Grades 1 to 8 by 21…

Owing to its recognition as a 21st-century skill, computational thinking (CT) is currently being introduced into school curricula around the world. However, in-service teachers are largely unprepared for this implementation, which, in turn, makes teacher educators (TEds) important stakeholders in preparing prospective teachers to integrate CT into…

One hundred four students aged 8 to 16 worked on one Fermi problem involving estimating the number of people that can fit in their school playground. We present a qualitative analysis of the different mathematical models developed by the students. The analysis of the students' written productions is based on the identification of the model of…

In a cross-sectional study, 160 students in Grades 2, 4, 7, and 11 were interviewed about their reasoning when solving integer addition and subtraction open-number-sentence problems. We applied our previously developed framework for 5 Ways of Reasoning (WoRs) to our data set to describe patterns within and across participant groups. Our analysis…

We administered specially-designed, free-response mathematics tasks to primary students (N = 583, ages five to 12 years old). Our focus was on whether (i) the children's responses could be reliably assessed, and (ii) the responses could provide insights into children's mathematical thinking. We used a contemporary comparative judgement technique,…

To better understand the role that ways of reasoning play in students' success on integer addition and subtraction problems, we examined the relationship between students' flexible use of ways of reasoning and their performance on integers open number sentences. Within groups of students in 3 participant groups--39 2nd and 4th graders who had…

The aim of this study is to investigate the metaphors images of gifted students about mathematics. The sample of the study consists of 82 gifted students, which are 2, 3, 4, 5, 6, 7 graders, from Istanbul. Data were collected by asking students to complete the sentence: "Mathematics is as …, because…". In the study content analysis was…

Marlene Chesney describes a piece of research where the participants were asked to complete a calculation, 16 + 8, and then asked to describe how they solved it. The diversity of invented strategies will be of interest to teachers along with the recommendations that are made. So "how do 'you' solve 16 + 8?"

This study examines teacher efficacy within the context of professional development to understand the relationship between teacher efficacy and teacher collaboration. Two theoretical frameworks framed this teacher efficacy study based on "locus of control" and "social cognitive theory." A 29-item questionnaire was e-mailed to…

This report summarizes Austin Independent School District's 2008-2009 school year student success initiative efforts to support students who are academically at risk in reading and math.

This study examined teachers' uses of virtual manipulatives across grades K-8 after participating in a professional development institute in which manipulatives and technology were the major resources used throughout all of the activities. Researchers analyzed 95 lesson summaries in which classroom teachers described their uses of virtual…

Of the 1,828 grade 6 students who received accelerated instruction outside of the regular classroom, 27% participated in both reading and math interventions. Of the 1,872 grade 7 students who participated in accelerated instruction outside of the classroom, 26% participated in both reading and math interventions. The overall state test results for…