This study explores kindergarten students' early notions of mathematical equivalence in the United States. In particular, it uses qualitative methods to examine the understandings children hold about the equal sign prior to formal instruction and how these understandings shift throughout an 8-week classroom teaching experiment designed to develop…

This study aimed to produce learning trajectory with rowing context that can help students understand addition and subtraction of fractions. Subject of the research were students IV MIN 2 Palembang. The method used was research design with three stages, those are preparing for the experiment, the design experiments, and the retrospective analysis.…

Ivan (pseudonym), the son of Mexican migrant farmworkers, rarely spent more than six months in the same school and by high school was still classified as an English language learner. This article traces Ivan's experiences as a language learner and writer, telling his story in his own words through his writing and ethnographic data collected during…

Language plays a key role in statistics and, by extension, in statistics education. Enculturating students into the practice of statistics requires preparing them to communicate results of data analysis. Statistical argumentation is one way of providing structure to facilitate discourse in the statistics classroom. In this study, a teaching…

Pre-service teachers need to develop habits of mind that allow them to grow as new teachers. This article describes an elementary mathematics methods course in which teaching as an experiment was used a framework for pre-service teachers to participate in action research by developing learning goals, observing and analyzing student thinking,…

Mobile technologies are quickly becoming tools found in the educational environment. The researchers in this study use a form of mobile learning to support students in learning about angle concepts. Design-based research is used in this study to develop an empirically-substantiated local instruction theory about students' develop of angle and…

In this article, we analyze a first grade classroom episode and individual interviews with students who participated in that classroom event to provide evidence of the variety of understandings about variable and variable notation held by first grade children approximately six years of age. Our findings illustrate that given the opportunity,…

This paper explores the ways students perceive the transfer of learned knowledge to new situations -- often a surprisingly difficult prospect. The novel aspect compared to the traditional transfer studies is that the learning phase is not a part of the experiment itself. The intention was only to activate acquired knowledge relevant to the…

To investigate student difficulties in solving word problems in algebra, we carried out a teaching experiment involving 51 Indonesian students (12/13 year-old) who used a digital mathematics environment. The findings were backed up by an interview study, in which eighteen students (13/14 year-old) were involved. The perspective of mathematization,…

This qualitative phenomenological study was done to better understand the school experience of adolescents after the death of a parent. The participants were adults over the age of 19 and between 3 and 43 years past the death of a parent during adolescence. The study involved personal, reflective interviews with each of the participants. The…

This article uses data from a 9-month ethnography in California to illustrate how elementary teacher's decision to reenact Jane Elliott's "A Class Divided" experiment, in conjunction with an artist-centered multicultural curriculum, shifted classroom conversations to a more critical dialogue of social groups, power, and privilege. Data…

The purpose of this study was to investigate in detail the processes involved when the promotion of metaconceptual evaluation facilitates fifth grade students' construction, evaluation, and revision of their explanations for magnetic phenomena. Although much recent research emphasized the importance of student modeling and model construction,…

This paper offers insight into learning Slovak in an e-learning environment. The need to reach distance-learners of Slovak led to the implementation of a web-based course on Slovak language and culture in 2008-2010. The pedagogical basis of the course, called Virtual Slovak, is the socioconstructivist approach to teaching and learning, in which…

Learning the concept of perimeter and area is not easy for students in grade 3 of primary school. A common mistake is that students think that if the area is the same, the perimeter also has to be the same. It is difficult for them to understand that for a given area, there are many possibilities of perimeter and vice versa. When student are not…

The meaning of fractions with integer multiplication is something that is difficult to understand by students. They tend to think that the product it produces a larger number, while the multiplication of fractions with integers, the result can be any number larger or smaller. This study is a research design that aims to develop a local…