Unpacking foreshadowing in mathematics teachers’ planned practices

This paper provides an empirical exploration of mathematics teachers’ planned practices. Specifically, it explores the practice of foreshadowing, which was one of Wasserman’s (2015) four mathematical teaching practices. The study analyzed n?=?16 lessons that were planned by pairs of highly qualified and experienced secondary mathematics teachers, as well as the dialogue that transpired, to identify the considerations the teachers made during this planning process. The paper provides empirical evidence that teachers engage in foreshadowing as they plan lessons, and it exemplifies four ways teachers engaged in this practice: foreshadowing concepts, foreshadowing techniques, foregrounding concepts, and foregrounding techniques. Implications for mathematics teacher education are discussed.

     

Untangling Trustworthiness and Uncertainty in Science

Science & Education - This article focuses on uncertainty—ways in which scientists recognize and analyze limits in their studies and conclusions. We distinguish uncertainty from...     

Relationship of executive functioning and memory to autism symptomology and adaptive functioning: Implications for reducing future underemployment

Understanding the relationship between executive functioning and its connection to working memory and adaptive functioning can inform planning and employment efforts. This study explored the relationship between memory and adaptive functioning with a sample of Autistic youths/young adults. Participant mean age was 21.3 (SD = 3.0). Of the 22 participants, 17 were male, and 19 white, non-Hispanic/Latina/o/x. All but one lived with their parent(s). Participants were administered a full battery assessing cognitive ability (WAIS-IV), memory and executive functioning (WMS-IV and DKEFS), autism symptomatology (ADOS-II), and adaptive functioning (SIB-R). A multivariate lasso regression model was used. Memory, especially as measured on the WMS-IV, was found to be significantly related to adaptive functioning and autism symptomatology. There appears to be continuing evidence that memory is highly related to adaptive functioning and autism symptomatology. Interventions involving auditory and immediate memory could be helpful in promoting more mutually effective social interactions necessary for positive employment outcomes.     

Instructional practices in secondary science: How teachers achieve local and standards-based success

This article reports on analyses of the instructional practices of six middle- and high-school science teachers in the United States who participated in a research-practice partnership that aims to support reform science education goals at scale. All six teachers were well qualified, experienced, and locally successful—respected by students, parents, colleagues, and administrators—but they differed in their success in supporting students' three-dimensional learning. Our goal is to understand how the teachers' instructional practices contributed to their similarities in achieving local success and to differences in enabling students' learning, and to consider the implications of these findings for research-practice partnerships. Data sources included classroom videos supplemented by interviews with teachers and focus students and examples of student work. We also compared students' learning gains by teacher using pre–post assessments that elicited three-dimensional performances. Analyses of classroom videos showed how all six teachers achieved local success—they led effectively managed classrooms, covered the curriculum by teaching almost all unit activities, and assessed students' work in fair and efficient ways. There were important differences, however, in how teachers engaged students in science practices. Teachers in classrooms where students achieved lower learning gains followed a pattern of practice we describe as activity-based teaching, in which students completed investigations and hands-on activities with few opportunities for sensemaking discussions or three-dimensional science performances. Teachers whose students achieved higher learning gains combined the social stability characteristic of local classroom success with more demanding instructional practices associated with scientific sensemaking and cognitive apprenticeship. We conclude with a discussion of implications for research-practice partnerships, highlighting how partnerships need to support all teachers in achieving both local and standards-based success.     

What supports 11- to 13-year-old Pasifika students in mathematics learning in New Zealand classrooms?

The steepest decline in achievement in New Zealand primary schools occurs in Years 7 and 8, with the greatest decline in the subject area of mathematics. The cohort that achieves at the lowest level in New Zealand schools is Pasifika. This study considers the views of those stakeholders involved in the teaching of these children. It seeks to uncover the positive steps being taken to advantage this group and the difficulties principals, teachers and parents face to improve achievement. One-to-one interviews were used to elicit advice and information to provide evidence of best teaching practices for Pasifika students