Given the prominence of group work in mathematics education policy and curricular materials, it is important to understand how students make sense of mathematics during group work. We applied techniques from Systemic Functional Linguistics to examine how students positioned themselves during group work on a novel task in Algebra II classes. We…

As president of the California Council on Teacher Education from 1994-1996, teacher educator Grace Grant reflects on the first conference she attended of the then California Council on the Education of Teachers in 1976 at the Ahwahnee Hotel in Yosemite National Park. The keynote speaker was Gary Fenstermacher, the then-director of teacher…

A small number of studies have investigated student understanding of vector addition and subtraction in generic or introductory physics contexts, but in almost all cases the questions posed were in the vector arrow representation. In a series of experiments involving over 1000 students and several semesters, we investigated student understanding…

To understand relationships between students' fractional knowledge and algebraic reasoning in the domain of equation writing, an interview study was conducted with 12 secondary school students, 6 students operating with each of 2 different multiplicative concepts. These concepts are based on how students coordinate composite units. Students…

In a typical chemistry instrumentation laboratory, students learn analytical techniques through a well-developed procedure. Such an approach, however, does not engage students in a creative endeavor. To foster the intrinsic motivation of students' desire to learn, improve their confidence in self-directed learning activities and enhance their…

Using a constructivist framework, eight senior chemistry majors were interviewed twice to determine: (i) structural inferences they are able to make from chemical and physical properties; and (ii) their ability to apply their inferences and understandings of these chemical and physical properties to solve tasks on the reactivity of organic…

Being able to characterize the size of raindrops is useful in a number of fields including meteorology, hydrology, agriculture and telecommunications. Associated with this article are data sets containing surface (i.e. ground-level) measurements of raindrop size from two different instruments and two different geographical locations. Students may…

Determining adults' and children's strategies in mental arithmetic constitutes a central issue in the domain of numerical cognition. However, despite the considerable amount of research on this topic, the conclusions in the literature are not always coherent. Therefore, there is a need to carry on the investigation, and this is the reason why we…

This work describes the preliminary results of a tutoring program that provides personalized academic assistance to first-year undergraduates enrolled in introductory chemistry, physics and mathematics courses at Universidad Andres Bello (UNAB), in Concepción, Chile. Intervened courses have historically large enrolments, diverse student population…

Global changes in educational discourse have an impact on educational systems, so teacher education programs need to be transformed to better train teachers and to contribute to their professional development. In this process learning styles and problem solving skills should be considered as individual differences which have an impact in…

Last year, 29 percent of New York City children were considered proficient in English and 35 percent in math on the state's challenging Common Core-aligned exams. For Success Academy students, the proficiency rates were 64 percent in English and an astonishing 94 percent in math. Success students in the city's poorest communities outperformed kids…

This paper details an inquiry-based approach for teaching the basic notions of rings and fields to liberal arts mathematics students. The task sequence seeks to encourage students to identify and comprehend core concepts of introductory abstract algebra by thinking like mathematicians; that is, by investigating an open-ended mathematical context,…

For more than 40 years, the international community has acknowledged the role education might play in environmental awareness and conservation. The last major initiative came when the United Nations General Assembly proclaimed a Decade of Education for Sustainable Development (2005-2014). In the final year of the decade, teachers still struggle to…

Parents in dysfunctional family situations and those in intact well-functioning families have distinct requirements for parental learning and parent education. For intact well-functioning families, a developmental-educational paradigm for parent education is more appropriate. Although school-based parent education is ideal for well-functioning…

Literature suggests that the mathematical language of teachers impacts a student's understanding of math concepts. When teachers unintentionally use ambiguous language, students' understanding of a subject can be negatively affected. We share background on specific instances in which teachers can create confusion with the language they use, and we…