Despite holding wide-ranging experiences with constant velocity and non-zero acceleration, students wrestling with physical science concepts struggle to demarcate the two distinct characteristics of motion. In fact, this prior experience and loose familiarity with associated terminology often act as an obstacle toward a deep and robust…

Nitrogen- or phosphorus-based fertilizers, used in agriculture, can run off into nearby waterways during periods of heavy rain or high flow and cause harmful blooms (Paerl et al. 2016), low oxygen (Joyce 2000), and decreased biodiversity (Sebens 1994). Studies of the effects wetlands can have on water and habitat quality (Verhoeven and Meuleman…

Children love sculpting clay or building sand castles, creating objects in three dimensions before they have the motor skills to draw in two dimensions. Similar arguments applied to the study of curves and graphs in high school mathematics would suggest that students' work and calculation with shapes should move sequentially from concrete to more…

How can the key concept of equivalent expressions be addressed so that students strengthen their representational fluency with symbols, graphs, and numbers? How can research inform the synergistic use of both paper-and-pencil analysis and computer algebra systems (CAS) in a classroom learning environment? These and other related questions have…

In Years 9 and 10 of secondary schooling students are typically introduced to quadratic expressions and functions and related modelling, algebra, and graphing. This includes work on the expansion and factorisation of quadratic expressions (typically with integer values of coefficients), graphing quadratic functions, finding the roots of quadratic…

Starting from a situated cognition perspective, this paper reports on the activity of 9th grade students who are interpreting the shape of a graph arising from the motion of a bouncing ball. In an unfamiliar context, informed by previous knowledge of similar experiments, the obstacle of understanding why the graph does not start from the origin is…

Describes a series of activities without conclusions to introduce scientific reasoning in a ninth grade physical science course. Uses popcorn popping to get students to think about the concepts of graphing, histograms, frequency, probability, and scientific methodology. (CW)

This report presents data from the 1988 National Education Longitudinal Study (NELS:88), which started with an eighth grade cohort and aimed to provide data on dropout experiences as students made the transition into high school and to examine the contextual school and family factors associated with dropping out. The report offers extensive…

This research compared the performance of ninth grade females and males on flight protocol, with particular attention to interpretation of the graphs of paths of falling bodies, rolling objects, and projectiles. These subjects were chosen because they had received no formal instruction in projectile motion, yet through typical life experience, had…

This publication contains Arizona public schools' updated academic standards for high school. The contents of this document contain: (1) The Arts Standard 2006--High School; (2) Comprehensive Health Education/Physical Activity Standards 1997--Proficiency and Distinction (Grades 9-12); (3) Foreign and Native Language Standards 1997--Proficiency and…