Profile analyses were used to investigate differences in the selfefficacy growth of teachers with more and less mathematics background as the teachers participated in professional development across two summers. Professional development activities were associated with increases in teachers' self-efficacy; however, without considering mathematics knowledge for teaching, teachers with more math background tended to benefit more than those with less background. Nonetheless, teachers with less math background had higher levels of teacher self-efficacy although this gap was closed by the last measurement. Such considerations are important when designing professional development as teachers may have different needs based on specific characteristics such as preparation in their teaching domain.
In this paper, we consider oscillation criteria for certain third-order delay and advanced dynamic equations on unbounded time scales. A time scale T is a nonempty closed subset of the real numbers. Examples will be given to illustrate some of the results.
In this article, we investigate the oscillatory behavior of a three-dimensional system of dynamic equations on an unbounded time scale. A time scale T is a nonempty closed subset of real numbers. An example is given to illustrate some of the results.
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